the monthly cost for 43 min is $17.96 and the monthly cost for 94 min is $24.72 what is the monthly cost for 88 min

Answers

Answer 1

Therefore , the solution to this problem of equation is y = 16.95  cost for 94 minutes.

Explain the equation.

A mathematical equation is a formula that links two statements by indicating their equivalence with the equal sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the components 3x + 5 and 14 in the equation 3x + 5 = 14 are separated by an equal sign. The relationship between two sentences on either side of a letter is expressed mathematically. There is frequently only one variable, which doubles as the symbol. say that 2x - 4 Equals 2.

Here,

y = mx + b

(50,13.98)(78,17.06)

slope = (17.06 - 13.98) / (78 - 50) = 3.08 / 28 = 0.11

slope(m) = 0.11

use either of ur points...(50,13.98)...x = 50 and y = 13.98

now sub into the formula and find b, the y int

13.98 = 0.11(50) + b

13.98 = 5.5 + b

13.98 - 5.5 = b

8.48 = b

so our equation is : y = 0.11x + 8.48.......for 94 minutes...sub in 77 for x

y = 0.11(94) + 8.48

y = 8.47 + 8.48

y = 16.95 <=== this is the cost for 94 minutes

Therefore , the solution to this problem of equation is y = 16.95  cost for 94 minutes.

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Related Questions

Evie practices her violin for exactly
310 minutes each week. On Monday, she
practices twice as long as she does on
Tuesday. On Thursday, she practices the
same number of minutes as Tuesday. On
Saturday, she practices 5 fewer minutes
than three times her Tuesday practice.
How many minutes does Evie practice on
Monday?

Answers

On Monday, Evie practices 2T = 2*45 = 90 minutes.

Define percentage.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Define Fraction.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

Let's call the amount of time Evie practices on Tuesday T.

On Monday, she practices twice as long as she does on Tuesday, so she practices 2T minutes.

On Thursday, she practices the same number of minutes as Tuesday, so she practices T minutes.

On Saturday, she practices 5 fewer minutes than three times her Tuesday practice, so she practices 3T-5 minutes.

We know that Evie practices 310 minutes in total in a week.

So we can set up an equation:

T + 2T + T + 3T-5 = 310

7T-5 = 310

7T = 315

T = 45

On Monday, Evie practices 2T = 2*45 = 90 minutes.

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How do i convert £10 to dollar? and what calculation do i ue

(it' on exchange rate)

Answers

We convert 10 pounds to Dollars and get 12.2 United states Dollars.

What does currency convert and exchange rate?

Exchange rate is the rate at which one currency can be exchanged to another currency. The rate represents the relative value of one currency against the currency from another country. Currency conversion means convert one currency to another at an exchange rate.

How do we convert 10-pound sterling to dollar?

We can convert pound to dollar by using currency exchange rate determined by the world market. The exchange rate is vary depending on the current situation of two country in which currency is converted between. The rate may be differed from one day to another.

1 pound sterling = 1.22 United States Dollar

10-pound sterling = 12.2 US Dollars

1 pound sterling = 1.76 Australian Dollar

10-pound sterling = 17.6 Australian Dollars

1 pound sterling = 1.64 Canadian Dollar

10-pound sterling = 16.4 Canadian Dollars

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100 students were surveyed about which subject they liked best. 41 students said they like math, and 25 students said they liked Science. Of those students surveyed, 19 said they liked both.


How many students is the complement of math?

Answers

In 100 students, Science was rated favorably by 25 students, while math received ratings from 41 students. 19 of the students polled indicated that they approved of both. 16 students are the complement of math.

What is complement of a number?

The phrase "complement" is typically used to describe a subset of a set that does not include another subset. The entire original set is obtained by adding the complement and its taking. The complement of a set is typically represented by the notations. The complement of a set is the set that includes all the elements of the universal set that are not present in the given set.

The Total number of students were 100

Students who like maths were 41

Students who like science were 25

Students who like both maths and science were 19

Students who does not like maths are 41-25 = 16.

So the students who are the complement of math are 16.

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How do you tell if a log function is increasing or decreasing?

Answers

If the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.

What is a logarithmic function?

A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: [tex]f(x) = log_b(x),[/tex] where b is the base of the logarithm.

To determine whether a logarithmic function is increasing or decreasing, you can look at the sign of the derivative of the function. If the derivative is positive, the function is increasing; if the derivative is negative, the function is decreasing.

In the case of logarithmic functions, the derivative of [tex]f(x) = log_b(x)[/tex] is f'(x) = 1/x*ln(b), which is always positive for x > 0, so the logarithmic function is increasing for any base b.

Hence, if the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.

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If the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.

What is a logarithmic function?

A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: [tex]f(x)=log_b(x)[/tex]. where b is the base of the logarithm.

To determine whether a logarithmic function is increasing or decreasing, you can look at the sign of the derivative of the function. If the derivative is positive, the function is increasing; if the derivative is negative, the function is decreasing.

In the case of logarithmic functions, the derivative of [tex]f(x)=log_b(x)[/tex]. is f'(x) = 1/x*ln(b), which is always positive for x > 0, so the logarithmic function is increasing for any base b.

Hence, if the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.

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Graph the line with 1 passing through the point (3, -4)

Answers

Answer:y=1x-7

Step-by-step explanation:

please assist with helping in the image below!!

Answers

The correct answer is b

what are the domain and range of the function f(x)=2^x+1

Answers

Answer: The domain is all values of x that make the expression defined. The range is the set of all valid y values

Step-by-step explanation:

Therefore , the solution of the given problem of function comes out to be Domain: (-∞, ∞) and   Range: (0,∞).

What is function?

Any input will only result in one or zero outcomes for the function. The expression does not define the function if there are several outputs for a given input. Each value of x must have only one output value of y variable in order for anything to be a function.

Here,

Given :  f(x)=[tex]2^{x}[/tex]+1

If a value has not been added, an exponential function's curve normally approaches a horizontal asymptote at y=0 or the x-axis. The curve changes if it has.

The asymptote is unaffected by this function's addition on the exponent because it does not apply to the entire function.

The values of its y-axis remain between 0 and. This is the set of y values, or the range.

However, depending on the leading coefficient, the range of exponentials can vary. If the value is negative, the graph turns inside-out and the range reaches -. It's also lacking in this.

The exponent's addition to 1 moves the function to the left without changing the range.

The x values in exponential functions are often unaffected and all are taken into account in the function. The domain stays the same even while it changes. Its range is (0,∞)

 Range: (0,∞)

Therefore , the solution of the given problem of function comes out to be

Domain: (-∞, ∞) and   Range: (0,∞).

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What are the zeroes of the polynomial 4x2 4x 3?

Answers

The zeroes of this polynomial equation is [tex]$4 x^2-4 x-3$[/tex] are [tex]\frac{3}{2}$[/tex] and [tex]$-\frac{1}{2}$[/tex].

First form the equation

As per the given data the given polynomial equation is [tex]$4 x^2-4 x-3$[/tex].

Here we have to determine the zeroes of a polynomial equation is [tex]$4 x^2-4 x-3$[/tex].

We know that the zeroes of a polynomial are evaluated by equating them with zero.

Therefore p(x)=0

[tex]& \Rightarrow 4 x^2-4 x-3=0[/tex]

Then solve to find the zeroes

[tex]& 4 x^2-4 x-3=0 \\[/tex]

[tex]& \Rightarrow 4 x^2-6 x+2 x-3=0 \\[/tex]

2x(2x - 3) + 1(2x - 3) = 0

(2x - 3) (2x + 1) = 0

[tex]& \Rightarrow x=\frac{3}{2},-\frac{1}{2}[/tex]

Then do verification

We know that for a given polynomial [tex]$a x^2+b x+c$[/tex]

Sum of the zeroes [tex]$=-\frac{b}{a}$[/tex] and product of the roots [tex]$=\frac{c}{a}$[/tex]

Sum of the zeroes [tex]$=\frac{3}{2}-\frac{1}{2}=1$[/tex]

Again, [tex]$-\frac{b}{a}=\frac{4}{4}=1$[/tex]

Product of the zeroes [tex]$=\frac{3}{2} \times-\frac{1}{2}=-\frac{3}{4}$[/tex]

Again, [tex]$\frac{c}{a}=-\frac{3}{4}$[/tex]

Thus, the relationship between the zeroes and the coefficients of the polynomial is verified.

Hence, the zeroes of this polynomial are [tex]\frac{3}{2}$[/tex] and [tex]$-\frac{1}{2}$[/tex].

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Jean Junction is selling jeans at 15% off the regular price the regular price is $25 per pair what is the discount amount

Answers

Answer:

15% off means take $3.75 off the regular price

Step-by-step explanation:

$25(0.15) = $3.75

$25 - $3.75 = $21.75  sale price

The stem-and-leaf plot shows the ages of customers who were interviewed in a survey by a store. How many customers were older than 45

Answers

Customers older than 45 years are 11 in number. This can be solved using stem-and-leaf plot.

What is stem-and-leaf plot?

A stem and leaf plot, often known as a stem plot, is a method for categorizing discrete or continuous data. Data are organized as they are gathered using a stem and leaf plot. A stem and leaf plot resembles a bar graph in appearance. As each integer throughout the database is divided into a stem and a leaf, thus the name fits.

The last digit of each data point serves as the "leaf" in a stem and leaf plot, which divides the data into numerical points (the leading digit or digits).

The stem and leaf plot represents the age of store patrons. The leaf represents the unit digit, while the stem stands for the tens digit. 45 is not taken into account because the question asks us to determine the percentage of consumers who are over 45.

Customers older than 45 years old include: 48, 50, 50, 51, 55, 56, 62, 64, 65, 65, 73.

So, there are a total of 11 clients.

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The complete question is as follows:

The stem-and-leaf plot shows the ages of customers who were interviewed in a survey by a store. How many customers were older than 45

Jon flips a coin and writes down H if heads comes up or T if tails comes up. He does this 3 times. If the order of the results matters, how many possible outcomes are there?

Answers

Answer:

There are always two possible outcomes H (heads) and T (tails) but the possible combination outcomes are HH, TT, HT, and TH

Step-by-step explanation:

It is just my common sense~

There is 8 possible outcomes.

Y=1/3(x-6)^2 standard form

Answers

Answer:

Step-by-step explanation:

Answer: Y = 1/3x^2 - 4x + 12

Step-by-step explanation:

Hope this helps, sorry I don't have an explanation...

What are the two types of measurements of angles?

Answers

The two types of units that are used for the angle measurements are (d) degrees and radians .

The two types of Units of Measurements are Radians and Degrees ,

The unit Degrees is used to measure the direction and angle size. If the object is facing north, then the object is said to be at 0°. If the object turn the opposite direction to face south, then the object turned 180°.

A full circle comprises of 360 degree .

The Radian is an S.I. unit of measuring the angles , one radian is defined as angle made at center of a circle by an arc whose length is equal to radius of circle.

The value of 1 radian is approximately equal to 57.296 degree .

The given question is incomplete , the complete question is

What are two types of angle measurements ?

(a) metrics and radians

(b) radians and metrics

(c) degrees and metrics

(d) degrees and radians

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Dange measures and finds that she can do a vertical jump that is27.5 % her height f dange can jump 13.2 inches how tall is she

Answers

The height of Dange who can jump 27.5% of her height is 10.4 inches.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Dange measures and finds that she can do a vertical jump that is 27.5 % of her height f and the distance of the jump is 13.2 inches.

Therefore. (100 + 27.5)% = 127.5% of f is 13.2 inches, This can be numerically expressed as,

(127.5/100)×f = 13.2.

1.275f = 13.2.

f = 13.2/1.27.

f = 10.4 feet.

So, The height of Dange is 10.4 inches.

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Alyssa's den is 8 feet longer than it is wide. If the​ den's area is 425 square​ feet, what are the dimensions of the​ room?

Answers

The dimensions of the room when Alyssa's den is 8 feet longer than it is wide are 15cm as 23cm.

How to illustrate the equation?

An equation simply means the statement that shows the relationship between the variables given. It has an equal sign to denote this.

Let the width of the den be x.

The length of the den is x+8.

We can set up the equation x*(x+8)=425 to represent the area of the den.

We can solve this equation by factoring it as x² + 8x =425.

x² + 23x - 15x - 425

x(x + 23) - 15(x + 23)

(x - 15)(x + 23)

Either way, we find that the width of the den is 15 feet and the length is 23 feet.

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How do you find the sides of an acute triangle?

Answers

To find the missing side length of the acute angled triangle apply the cosine law as follow:

a² = b² + c² - 2bccosA

b² = a² + c² - 2accosB

c² = b² + a² - 2abcosC

As given in the question,

Given triangle is acute angled triangle.

Let us consider the measure of two sides and its included angle of the acute angled triangle is given.

Let the triangle be ABC,

Side opposite to ∠A, ∠B , and ∠C are a , b, and c respectively.

Apply cosine law to find the measure of the missing side in the acute angled triangle:

a² = b² + c² - 2bccosA

b² = a² + c² - 2accosB

c² = b² + a² - 2abcosC

Therefore, to get the measure of the missing side length in the acute angled triangle apply cosine law.

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Which proportion is solved correctly using cross products?
4/6 = 12/18 = 4x12=9x18
or
4/6 = 12/18 = 4x12=9x12

Answers

The proportion that is solved correct using cross products is given as follows:

4/6 = 12/18 = 4x18 = 6x12

How to solve a proportion applying cross product?

A proportion represents a fraction of a total amount, hence it is written as follows:

p = x/y.

In which the terms are given as follows:

x is the numerator of the fraction.y is the denominator of the fraction.

For cross products, we have two proportions that are equal, hence the numerator of the first fraction multiplies the denominator of the second fraction, while the denominator of the first fraction multiples the numerator of the second fraction.

The proportion in this problem is given as follows:

4/6 = 12/18.

Hence the cross product is applied as follows:

4 x 18 = 6 x 12

72 = 72 (which is a true statement).

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a candy store makes a 9-pound of gummy candy jelly beans and hard candy the cost of gummy candy is $2.00 per pound jelly beans cost $3.00 per pound and hard candy costs $3.00 per pound the mixture calls for two times as many gummy candy pieces as jelly beans the total cost of the mixture is $23.00 how much of each ingredient did the store use? please show explanation

Answers

Answer: 4.5 jelly beans

Step-by-step explanation: 3.00$ x 5 = 15.00$ x (2$) = 23.00$

An apple weighs 0.2 lb. A bag of apples contains 12 apples of this
same weight. If these apples sell for $2.10 per pound, how much
will a bag of 12 apples cost? Round off to the nearest cents.
12 apples = _____ pounds
$___ for the bag of apples
pounds

Answers

Answer:

Step-by-step explanation:

3.00

A palindrome is an integer that reads the same forwards and backwards. How many positive 3-digit palindromes are multiples of $3$

Answers

There are total 30 positive 3-digit palindromes are multiples of 3.

The numbers are as follows,

111, 141, 171, 222, 252, 282, 303, 333, 363, 393, 414, 444, 474, 525, 555, 585, 606, 636, 666, 696, 717, 747, 777, 828, 858, 888, 909, 939, 969, 999.

Palindrome numbers

A palindromic number is a number that remains the same when its digits are reversed. In other words, it has reflectional symmetry across a vertical axis.

A palindrome number is a number that is same after reverse.

For example - 121, 34543, 343, 131, 48984 are the palindrome numbers.

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PLEASE HELP GIVING BRAINLIESTTTTTT

Simplify the expreion. The expreion negative one fifth j plu three fourth minu the expreion five halve j plu even eighth negative 27 over 10 time j plu negative 1 over 8 27 over 10 time j plu 1 over 8 negative 23 over 10 time j minu 13 over 8 negative 23 over 10 time j plu 13 over 8

Answers

The simplified value of the given expression ⇒ [(-1 / 5 j) + (3 / 4) - 5 / 2j - (7 / 8)] is computed at ⇒ [(-27 / 10 j) - (1/ 5)]

An algebraic expression is one that was created in mathematics by using integer variables, constants, and algebraic operations.

However, since they are not produced by using integer constants and algebraic operations, transcendental numbers like such and e are not algebraic. The production of is commonly stated as a geometric expression, although the definition of e requires an infinite number of algebraic operations. An expression can be reduced to a rational fraction by using the properties of arithmetic operations.

You can write the given expression as:

⇒ (-1 / 5 j) + 3 / 4 - 5 / 2j - 7 / 8

When we simplify the formula and apply the fractional operations to the result, we get:

⇒ (-27 / 10 j) - (1/ 5)

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It is known that the percent of red M&Ms is 35% in each package. Don went to the vending machine and bought a package of M&Ms. In his package he counted 52 MaMs and 18 were red. If 35% is the true parameter then what is the probability that a package of getting no more than 18 out of 52 M&Ms red?

Answers

35% in each package is red.

that means nothing else than for every M&M you pick, the probability is 35% (or 0.35) that is is red.

it also means the probability to get anything but red is 1 - 0.35 = 0.65 (65%).

if I understand you correctly, the question is for the probability that there are no more than 18 red M&Ms in a package of 52.

in other words, the probabilty that there are exactly 18, or exactly 17, or exactly 16 ... or exactly 1, or no red M&Ms.

the probability to get exactly 18 red out of 52 is

0.35¹⁸ × 0.65³⁴

for one of the combinations.

and we have C(52, 18) possible combinations :

52! / (18! × (52-18)!) = 52! / (18! × 34!)

18 red = 0.35¹⁸ × 0.65³⁴ × C(52, 18) = 0.115457378...

17 red = 0.35¹⁷ × 0.65³⁵ × C(52, 17) = 0.110273578...

16 red = 0.35¹⁶ × 0.65³⁶ × C(52, 16) = 0.096708177...

15 red = 0.35¹⁵ × 0.65³⁷ × C(52, 15) = 0.077665254...

14 red = 0.35¹⁴ × 0.65³⁸ × C(52, 14) = 0.056935055...

13 red = 0.35¹³ × 0.65³⁹ × C(52, 13) = 0.037956703...

12 red = 0.35¹² × 0.65⁴⁰ × C(52, 12) = 0.022909582...

11 red = 0.35¹¹ × 0.65⁴¹ × C(52, 11) = 0.012452595...

10 red = 0.35¹⁰ × 0.65⁴² × C(52, 10) = 0.006056874...

9 red = 0.35⁹ × 0.65⁴³ × C(52, 9) = 0.002615926...

8 red = 0.35⁸ × 0.65⁴⁴ × C(52, 8) = 0.000993712...

7 red = 0.35⁷ × 0.65⁴⁵ × C(52, 7) = 0.000328083..

6 red = 0.35⁶ × 0.65⁴⁶ × C(52, 6) = 9.271902896e-005

5 red = 0.35⁵ × 0.65⁴⁷ × C(52, 5) = 2.198201902e-005

4 red = 0.35⁴ × 0.65⁴⁸ × C(52, 4) = 4.252473918e-006

3 red = 0.35³ × 0.65⁴⁹ × C(52, 3) = 6.446899235e-007

2 red = 0.35² × 0.65⁵⁰ × C(52, 2) = 7.183687719e-008

1 red = 0.35 × 0.65⁵¹ × C (52, 1) = 5.231817386e-009

0 red = 0.35⁰ × 0.65⁵² × C(52, 0) =

= 0.65⁵² = 1.868506209e-010

the probability to have no more than 18 reds is the sum of all that :

0.540472593...

Yesterday, Camille's Snack Shack went through 1/4 of a bottle of ketchup. If they used 2/3 as much mustard as ketchup, how many bottles of mustard did they go through?

Answers

The number of bottles of mustard they went through is given by the equation A = 1/6 of the bottle

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of bottles of mustard be represented as A

Now , the equation will be

The amount of ketchup used by Camille's Snack Shack = ( 1/4 ) of the bottle

Now , the amount of bottle of mustard used = ( 2/3 ) of the bottle of ketchup

Substituting the values in the equation , we get

The number of bottles of mustard used A = ( 2/3 ) of ( 1/4 ) of the bottle

On simplifying the equation , we get

The number of bottles of mustard used A = ( 2/3 ) x ( 1/4 )

The number of bottles of mustard used A = ( 1/6 ) of the bottle

Therefore , the value of A is 1/6

Hence , the number of bottles is 1/6

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I don't know HOW TO DO THIS​

Answers

Answer:

sorry, I forget how to do the other ones and I'm just as confused but for 4. AD is 20 and 5. GJ is 17

Step-by-step explanation:

4. side AD is equal to side CD so therefore its 20.

5. side are equal again so make

4x+5 = 2x+11

    -5         -5

4x = 2x+6

-2x  -2x

2x = 6

/3    /3

x = 3

2(3)+11

6+11

17

Use the number line to find the difference of 4 1/2-8

Answers

Using the number line, the difference between 4 1/2 and 8 will come to -31/2.

What is a number line?

A number line is a depiction of a graded straight line that serves as a visual representation of real numbers in primary mathematics. Every point on a number line is presumed to be a real number, and every real number is assumed to be a point.

Subtraction on a number line makes it much easier to subtract smaller values. When subtracting numbers from a number line, we must leap (move) to the left side of the number line.

Thus, moving to the left, 8 times from 4.5 will help us arrive at -3.5. See attached Number line.

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Which cube root function is always decreasing as x increases?
○ f(x) Jm³√x – 8
O
f(x) = 3√√x-5
f(x)=√√-(5-x)
f(x) = -3√x+5

Answers

Option D) f(x) = -3√x+5 is the cube root function is always decreasing as x increases

What is the Formula of Cube Root Function? f(x) = x is the formula for the fundamental (parent) cube root function. After transformations, it can alternatively take the form f(x) = a (bx - h) + k. Here, the transformations are denoted by the real numbers a, b, h, and k.The symbol "" designates the cube root. For instance, 8 Equals (2 + 2 + 2) = 2. Finding the cube root of a number is simple since 8 is a perfect cube number.You need to discover a number that, when multiplied twice by itself, equals the original number in order to get the cube root of a given integer. To get the cube root of 8, then, you need to identify the integer that, when multiplied by itself twice, equals 8. Therefore, since 2 2 2 = 8, the cube root of 8 is 2.

Given data :

y = ³[tex]\sqrt{x}[/tex] is an increasing function as when the value of x increases the value of y increases

And when the value of x decreases , the value of y also decreases.

Now if we have (x+a) or (x-a) instead of x, the function shall have a horizontal shift.

So it shall either move left or right but shall not flip.

So

y = ³[tex]\sqrt{(x - 8)}[/tex] and  y = ³[tex]\sqrt{(x - 5)}[/tex]

are increasing functions.

Only when x becomes -x, that the function shall flip & shall become a decreasing function.

But then it must be - (x-a) or -(x+a) inside.

So

y = ³[tex]\sqrt{-(5 - x)}[/tex] is also increasing

Only

y = ³[tex]-\sqrt{(x + 5)}[/tex] is a decreasing function.

Option D) is the right answer.

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A large consumer goods company ran a television advertisement for one of its soap products. On the basis of a survey that was conducted, probabilities were assigned to the following events. The probabilities assigned were , , and a. If an individual recalls seeing the advertisement, what is the probability that the individual purchased the product (to 1 decimals)

Answers

0.30 is the probability that the individual purchased the product

What is probability?

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

The proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally probable alternatives that result in a particular occurrence.

Example: When flipping a coin, there are only two possible outcomes: either it will land on its head or on its tail.

Let, B = individual purchased the product

S = individuals recalls seeing the advertisement.

Here, P(B) = 0.20

P(S) = 0.40

P(B ∩ S) = 0.12

Thus, P(B | S) = P(B ∩ S) / P(S)

= 0.12/0.40

= 0.30

P(B) = 0.20 < P(B | S) =0.30

Yes, thus the probability that an individual will purchase the product will increase if the individual sees the advertisement first.  

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The complete question is as follows:

Finding the slope ?identify the slope

Answers

the slope of the given straight line will be -3

What is the slope of line?

Given two line-side coordinates, use the slope formula to determine the slope of the line. The slope is defined as the ratio of the change in the y values to the change in the x values using the formula m=(y2-y1)/(x2-x1). x1 and y1 are represented by the first point's coordinates. The second points are located at x2, y2, and their locations. Whichever point you choose to classify as the first and which as the second doesn't matter.

We know that formula two find the slope of the line joining two points which is

Slope is = y2-y1/x2-x1

=9-0/0-3

=-3

Hence the slope of the given straight line will be -3

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Don and Ana are driving to their vacation destination. Upon entering the freeway they began driving at a constant rate of 60 miles an hour. Don noticed that 3 hours into the trip they were 650 miles from the destination.

How far from their destination will they be 3. 7 hours since entering the freeway?

How far from their destination were they 2. 3 hours since entering the freeway?

Please help quick

Answers

Distance between them and their destination after 3.7 hours since entering the freeway is 608 miles and the distance between them and their destination after 2.3 hours since entering the freeway is 692 miles.

We know that the relationship between speed, distance, and time is given as,

Speed = distance/time

Speed = 60 miles an hour

Time = 3 hours

We know that Don and Ana are travelling at a constant speed and they are travelling for 3 hours.

Distance = speed × time

Distance = 60 × 3

Distance = 180 miles

Thus, the distance travelled by them in 3 hours is 180 miles.

We know that Don and Ana are travelling on the freeway for the past 3 hours and they are still 650 miles away, therefore,

Total Distance from their destination

= Distance travelled by them in 3 hours + 650 miles

= 180 miles + 650 miles

= 830 miles

Thus, the distance travelled by then is 830 miles.

Now, the distance between them and their destination after 3.7 hours since entering the freeway,

Distance travelled by them = speed x 3.7 = 60 x 3.7 = 222 miles

Distance between them and the destination

= Total Distance from their destination - Distance travelled by them

= 830 miles - 222 miles

= 608 miles

Therefore, they are 608 miles far from their destination.

And, Distance between them and their destination after 2.3 hours since entering the freeway,

Distance travelled by them = speed x 2.3 = 60 x 2.3 = 138 miles

Distance between them and the destination

= Total Distance from their destination - Distance travelled by them

= 830 miles - 138 miles

= 692 miles

Therefore, they are 692 miles far from their destination.

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WILL GIVE BRIANLIST


:The temperature over the course of a day was being monitored. In the morning, the temperature was −3°F. In the middle of the day, the temperature rose to 12°F. After dark, the temperature dropped again to −6°F.


What was the average temperature for the day?


Responses


−3°F

negative 3 degrees F


−1°F

negative 1 degrees F


1°F




Answers

Answer:

Step by step explanation:

To find the average temperature, you take the three different temperatures you had throughout the day and divide them by how many different kinds there are. (3).

This means that the average is 1°F. This is because you have to add -3 + 12 + (-6) = 3.

Then you have to divide 3 by the amount of numbers you need to average between. In this case, you have to divide 3 by 3.

So, your final answer is:

The average temperature for the day was 1°F

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