11 of 25 students in class own a dog.What is the ratio of students who own a dog to students in the class?What is the ratio of students who own a dog to students who DON'T own a dog?

Answer: [tex]f(-2)=13, g(-6)=-8[/tex]

Step-by-step explanation:

[tex]f(-2)=-2(-2)^3 -3=13\\\\g(-6)=2(-6)+4=-8[/tex]

The values of functions f(-2) and g(-6) are 13 and -8 respectively.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

It is given in the question  that:-

[tex]f (x) = -2x^3 - 3[/tex]

g(x) = 2x + 4

We have to find the values of f(-2) and g(-6).

Putting x = -2 in f(x), we get,

f(-2) = [tex]-2(-2)^3 - 3[/tex] = -2*(-8) - 3 = 16 - 3 = 13

Putting x = -6 in g(x), we get,

g(-6) = 2(-6) + 4 = -12 + 4 = -8

Hence, the values of functions f(-2) and g(-6) are 13 and -8 respectively.

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We have the next operation

the result of this operation rounded to nearest hundredths place is 57.86

When 10kg is increased by 20%, the number becomes 24%

Percentage is a measure of frequency that is used to express a quantity as a number out of 100. The sign that is used to represent percentages is %. In order to convert a number to a percentage, multiply the number by 100.

The new increased number = (100% + percentage increase) x initial number

(100 + 20%) x 20%

120% x 20%

1.20 x 20% = 24%

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The ratio of 29: 1 is 29
The mathematical equation is 29/1

A ratio can simply be defined as an ordered pair of numbers, say x and y, written in the form x / y where  of the denominator is note equivalent to zero.

It is known to explain how many times a given number contains another number in a proportion.

It is seen as the comparison of two numbers , elements or quantities having the same units and moving further to explain how much of one of the element or quantity is present in the another one.

This is achieved based on their magnitude or sizes.

A proportion is a mathematical equation with which two ratios are set equivalent to each other.

A ratio is expressed mathematically as;

x/y

Given the ratio;

29: 1

The equation is = 29/1 = 29

Hence, the ratio is 29

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the answers is a. bones to bones

Answer:

-2

Step-by-step explanation:

You have to use rise over run. For example, to go from (-1,0) to (-2,2), you have to go up 2 squares and go left 1. That gives you 2/-1, which is -2. Hope this helps!

Answer:

C' = (15, 7)

Dilation by a scale factor of 3 with the origin (0, 0) as the center of dilation, followed by a translation of 1 unit up.

Step-by-step explanation:

If two triangles are said to be similar, their corresponding angles are congruent and their corresponding sides are in the same ratio.

Given vertices of triangle ABC:

To maintain similarity (and thus keep the corresponding angles of both triangles the same) but not maintain congruence, dilate triangle ABC.

Given:

If ΔABC is dilated by a scale factor of 3, with the origin as the center of dilation, B' = (3, 12).  If the triangle is then translated 1 unit up, B' = (3, 13), which matches the given coordinate of point B'.

Therefore, the series of transformations is:

Mapping Rule:  (x, y) → (3x, 3y + 1)

Therefore, the coordinates of point C' are:

⇒ C' = (3(5), 3(2) + 1) = (15, 7)

Shiloh can run 04 laps per minute if in 25 minutes Shiloh can run in 10 laps around the track and it is Laps per minute is simply division.

The ratio that is connecting two given numbers is what is known as the exact proportional relationship is the constant of proportionality. Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names that can be given for the constant of proportionality.

To represent the equation in laps per min,

L/m = 10/25

= 2/5

= 0.4 laps per minute

The constant of proportionality in this situation

10/25 = 0.4

The equation to represent the relationship.

y = 0.4x

Identifying the same x and y variables is the first step in determining the proportionality constant. X will be the weight and Y will be the number of butter sticks in order to calculate the exact weight to stick ratio.

Then to determine the proportionality constant, we can use the constant equation k = y x.

When two variables are directly or indirectly proportional to one another, their relationship can be expressed using the formulas y = kx or y = k/x, where k specifies the degree of correspondence between the two variables. The proportionality constant, k, is often used.

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Answer:

81 mph

Step-by-step explanation:

2x+2(x-12) = 300

Answer: The Brown family ate 1.85 pies in all

Step-by-step explanation: If you think about it all you have to do is 0.75+0.5= 1.25 and then you do 1.25+ 0.6  and then get 1.85 so they ate 1.85 pies in all

Hope this helped!!!!

Given the expressions:

You need to remember that the Distributive Property states that:

• In order to simplify the first expression, you only need to apply the Distributive Property, because there is a number multiplying a Sum. Therefore, get:

• In order to simplify the second expression, you need to follow these steps:

1. Apply the Distributive Property:

2. Solve the Addition:

Hence, the answers are:

• The first problem requires to use only the Distributive Property to simplify it. It is required because there is a number multiplying a Sum:

Notice that the second expression can be simplified using the Distributive Property as the first step.

• The second problem can be simplified by applying the Distributive Property and then adding the numbers.

The savings account balance after six months with an 8% annual percentage rate and $200 monthly contributions is $202.6.

Savings Plan Formula

The future worth of a savings or investment account in which you make regular deposits can be calculated using the formula below.

EXAMPLE 1 Assume you put $100 into a savings account each month that pays 7.3% interest that is compounded monthly.

To determine the saving plan balance after 6 month

First of all we have to calculate the growth factor

Growth factor =(1+(0.08/6)) per month

Growth factor= 1.013

Now let calculate the savings plan balance after 6 month

Saving plan balance after 6

Months =$200.00x1.0133

             = $202.6

From conclusion the saving plan balance after 6 month is=$202.6

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Answer:

Step-by-step explanation:

...

Answer:

2x+9=7

Step-by-step explanation:

"Sum" means addition

"2 times a number" since the number is unknown we use a letter, since its a letter we usually don't need parentheses

"and" is usually used ror addition so another clue

"is" just means equals

Answer:

a. Exponential decay

b. f(x) = a (1 - r)^x

c. f(x) = 25(1 - 0.06)^x

d. 16 terms

Explanation:

a. Does this problem represent exponential growth or decay? How do you know?

Each day the number of terms that you know is less than the day before, so there is a decrease in the vocabulary terms memorized. It means that the problem represents exponential decay.

b. Which exponential formula below will you use for this problem? Why?

The formula for the exponential decay is:

Where a is the initial value and r is the rate of decay.

So, the formula that you will use is f(x) = a (1 - r)^x

c. Write the formula for this specific problem. Explain how you know where each number goes in the formula.

The initial value is 25 terms and the decay rate is 6%, so the specific equation is:

d. How many terms will you remember seven days later for the test? Show all your work and explain your computations.​

Now, we need to replace the value of x by 7, so:

Therefore, you will remember 16 terms seven days later.

This year, one of her fields yielded 176.4 bushels of corn. $661.5 will Molly make from this field if corn is now selling for $3.75 per bushel.

Given that,

On her farm, Molly raises corn that she sells for pig food. This year, one of her fields yielded 176.4 bushels of corn.

We have to find how much will Molly make from this field if corn is now selling for $3.75 per bushel.

We have to multiply

=176.4×3.75

=661.5

Therefore, $661.5 will Molly make from this field if corn is now selling for $3.75 per bushel.

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On simplifying the given equation, the answer is [tex]\frac{5}{6}[/tex]

The fundamental guidelines and procedures to simplify any statement are as follows:

By multiplying factors, remove any grouping symbols like brackets and parenthesis.

If the words contain exponents, use the exponent rule to eliminate grouping.

Add or subtract like terms to combine them.

Add the constants together.

Given,

1 8/11 x 5/12 + 5/12 x 3/11

[tex]\frac{19}{11}[/tex]  ×  [tex]\frac{5}{12}[/tex]    +  [tex]\frac{5}{12}[/tex]   × [tex]\frac{3}{11}[/tex]

Taking [tex]\frac{5}{11 * 12}[/tex] as a common factor,

⇒ [tex]\frac{5}{11 * 12}[/tex] ( [tex]19 + 3[/tex])

⇒ [tex]\frac{5}{11 * 12}[/tex] × 22

On simplifying,

⇒ [tex]\frac{5}{6}[/tex]

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The number of units that is needed to be manufactured and sold per month by the company to break even is 222 units

The first step is to write out the parameters given in the question

The sales price per unit is $50

The fixed cost per month is $4000

The variable cost per unit is $32

The formula for calculating the units needed to break even can be expressed as follows

Fixed Costs ÷ (Sales price per unit – Variable costs per unit)

4000/(50-32)

= 4000/18

= 222.2

Hence 222 units are needed to be manufactured per month

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Answer:

  8 < x

  see attached for the graph

Step-by-step explanation:

You want the compound inequality and the graph that represents the solution to the system ...

  2x-5>3 and -4x+7<-25

The first inequality has the solution ...

  2x -5 > 3 . . . . . given

  2x > 8 . . . . . . . add 5

  x > 4 . . . . . . . divide by 2

The second inequality has the solution ...

  -4x +7 < -25

  -4x < -32 . . . . . . subtract 7

  x > 8 . . . . . . . . divide by -4

The solution is the intersection of these solution spaces:

  4 < x    and   8 < x

The intersection is ...

  8 < x . . . . . solution to the compound inequality

The graph is attached.

The value of x is 4 and 0

Algebra is a branch of mathematics that helps translate real-world problems or situations into mathematical formulas. Mathematical operations like addition, subtraction, multiplication, and division as well as variables like x, y, and z are needed to construct a valid mathematical expression. Coordinate geometry, calculus, and trigonometry are just a few of the mathematics topics that involve algebra. A simple algebraic equation is 2x + 4 = 8. Algebraic expressions are the result of performing operations on variables and constants, such as addition, subtraction, multiplication, division, etc. Consider that James and Natalie came up with the notion to arrange matchsticks into numerical patterns when they were fiddling with them.

Given that : [tex](x-2)^{2} = 2[/tex]

[tex](x-2)^{2} = 2[/tex]

(x-2)=±2

x= 4

x=0

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The coordinates of the point Y at the other endpoint is 41

From the question, the given parameters are

Because there is not y coordinates in the coordinates, we can make use of only the x coordinate

So, we have the following equation

Point = Proportion * (Y - X)

Substitute the known values in the above equation

So, we have the following equation

12 = 1/3 * (Y - 5)

Multiply through the equation by 3

So, we have the following equation

36 = Y - 5

Add 5 to both sides of the equation

So, we have the following equation

Y = 41

This means that the conclusion is the coordinate of the point Y is 41

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Answer:

The equation is W = 1600 + .03S

Given that 2500 students entered the Teacher Education Program.

20% of the students are male. Thus,

Thus,

Thus, the ratio of the number of males to the number of females is evaluated as

Hence, the ratio of the number of females to the number of males is thus 4:1

Answer:y=21°

x=8°

Step-by-step explanation:

3y+27=90

3y=63

y=21°

x+90°+8x+18°=180°

9x+108°=180°

9x=72°

x=8°

The statements that describe key features of function g if g(x) = f(x + 2) are;

a. y-intercept at (0,4)

b. domain of {x|-∞ < x < ∞}

c. horizontal asymptote of y = 0

We are given the function f(x) = 2^(x)

We want to find the features of the function g if;

g(x) = f(x + 2)

Let us first find f(x + 2);

g(x) = f(x + 2) = 2^(x + 2)

The y-intercept is when x = 0;

g(0) = 2^(0 + 2)

g(0) = 4

Some features in a function that limit the x values are: roots, fractions, etc.

g(x) = 2^(x + 2) does not have any restricting value of x.

This means the value of x ranges from negative infinity to positive infinity.

Hence, the domain is: (-∞, ∞)

Next, calculate the horizontal asymptote.

To do this, we plot the graph of g(x) --> see attachment

Then we trace a horizontal line from the horizontal part of the curve of g(x) till it gets to the y-axis.

From the attached graph of g(x), the line touches the y-axis at y = 0

So, the horizontal asymptote is: y = 0

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The missing options are;

a. y-intercept at (0,4)

b. domain of {x|-∞ < x < ∞}

c. horizontal asymptote of y = 0

d. horizontal asymptote of y=2

e. y-intercept at (0,1)​

Answer:

see photo

Step-by-step explanation:

Plato/Edmentum

Using the binomial distribution, there is a 0.8784 = 87.84% probability that at least 1 of them arrives late.

The probability mass function, giving the the probability of x successes is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters of the distribution are given as follows:

In the context of this problem, of 20% shipments with 90% on time, the parameters are:

p = 0.9, n = 20.

The probability that all arrive on time is:

P(X = 20) = (0.9)^20 = 0.1216.

All on time and least one late are complementary events, hence the probability of at least one package arriving late is given as follows:

P(X < 20) = 1 - P(X = 10) = 1 - 0.1216 = 0.8784.

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Answer:

d

Step-by-step explanation:

Divide

6x2+5x+1

x+2

=6x−7+

15

x+2

Answer: $16081.60

Step-by-step explanation:

1)

FV=3000(1.03)=$3090

2)

240*1.04=$249.60

3)

FV=14000(1.02)^7

FV=14000(1.1487)

FV=$16081.60

If the child uses the marbles at random what is the chance that the child gets less than six red marbles is given as   0.9561. See the calculation below.

Note that we are given the following:

p = 20% = 0.20

1 - p = 1 - 0.20 = 0.80

n = 14

Utilizing the binomial formula, we have:

P(X = x) = ((n! / x! (n - x)!) * px * (1 - p)n - x

P(X < 6) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3)+  P(x = 4) + P(x = 5)  

Plugging in the value of n, we have:

=  ((14! / 0! (14)!) * 0.200 * (0.80)14 + ((14! / 1! (13)!) * 0.201 * (0.80)13 + ((14! / 2! (12)!) * 0.202 * (0.80)12 + ((14! / 3! (11)!) * 0.203 * (0.80)11 + ((14! / 4! (10)!) * 0.204 * (0.80)10 + ((14! / 5! (9)!) * 0.205 * (0.80)9

=  0.9561

As a result, the probability that the youngster would receive less than six red marbles is provided as 0.9561 if the marbles are used at random.

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The solution to the given addition problem is 150.6 ft^9.

Converting everything to the same unit is the simplest solution to this problem.

The conversions are:

1 cubic yard = (27 cubic feet)

1 cubic inch = (0.000578704 cubic feet)

The addition can be performed as,

(6 cu yd × 9 cu ft × 134 cu in) + (1 cu yd × 12 cu ft × 200 cu in)

=  [6(27 cu ft) × 9 cu ft × 134(0.000578704 cu ft)] + [1(27 cu ft) × 12 cu ft × 200(0.000578704 cu ft)]

= 150.6 ft^9

The result of the addition is 150.6 ft^9.

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