For each event, write the sample space and tell how many outcomes there are. Roll a standard number cube. Then flip a quarter. How many outcomes are there?

The inverse of the given function, y = 16x² + 1 is: B. y = ±√(x - 1)/16

In Mathematics, an inverse function can be defined as a type of function that is obtained by reversing (undoing) the operation of a given function (f(x)).

Generally speaking, a given function (f(x)) and its inverse function has the following property f⁻¹(f(x)) = x.

In order to determine the inverse of the given function, we would interchange input value (x) and the output value (y) as follows:

y = 16x² + 1

x = 16y² + 1

Subtracting 1 from both sides, we have:

16y² + 1 - 1 = x - 1

16y² = x - 1

Dividing both sides by 16, we have:

y² = (x - 1)/16

Taking the square root of both sides, we have:

y = ±√(x - 1)/16

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m=x1+x2/2 or m=y1+y2/2

hope you understand

The Compound Interest of Principle 2000 will become 2420 within 2 years when the rate of interest is 21%

Compound interest = P(1 + R ÷ 100) to the power of n,

where P = Principle

           R = Rate of Interest

           n = no. of years

According to the given question,

Principle(P) =Rs2000

Rate of interest (R) =?

no. of years(n) = 2 years

given CI (Compound Interest) = Rs2420

CI = 2000(1 + R ÷ 100)² = 2420

    = 20(100 +R) = 2420

    = 100 + R = 2420 ÷ 20

    = 100 + R = 121

    = R = 121 - 100

    = R = 21%

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Answer: The factors of 12 are 1, 2, 3, 4, 6, and 12

Hope this helps!

Answer:

The factors of 12 are 1, 2, 3, 4, 6 and 12.

0.6004 is standard deviation of equation .

Why is there a standard deviation?

=0.6004$P(120≤X≤153)=0.6004​

The mean is μ=147, and the standard deviation is σ=16.

0.6462−0.0458=0.6004.

Thus, P(120≤X≤153)=0.6004.

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Answer:

Ramu's sister's Age= 28

ramus age=×

28=5×+3

5×=28-3

=25

×=25/5

×=5

so the age of Ramu is 5 years old.

Answer:

25 because 5×5= 25 and 25+3=28 so ramu's age is 25

Triangle PUB is divided into 2 triangles that is ΔPUM and ΔPMB. We have angles ∠B=35°,∠U=62°,∠P=21°. The angles are ∠1=56° and ∠2=62°.

Given that,

In picture there is a triangle with the intersection line in between the triangles.

Triangle PUB is divided into 2 triangles that is ΔPUM and ΔPMB.

We have angles

∠B=35°,∠U=62°,∠P=21°

We have to find the angle of angle 1 and 2.

We know,

In triangle sum of the 3 angles is 180°.

Now, we take ΔPMB

We find the other angle of M.

21°+35°+M=180°

M=180°-21°-35°

M=180°-56°

M=124°

So, now we can find the angle 1.

the straight line has a angles of 180°.

124°+∠1=180°

∠1=180°-124°

∠1=56°

Now, we find angle 2.

Take ΔPUM

62°+∠1+∠2=180°

62°+56°+∠2=180°

∠2=180°-62°-56°

∠2=180°-118°

∠2=62°

Therefore, the angles are ∠1=56° and ∠2=62°.

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Answer: Option D

Step-by-step explanation:

Step-by-step explanation:

As we know domain of a function is represented by x values on the graph and y values represents the range of the function.

From the given table domain will be the set of all real numbers.

Range of the same function will be y > 4

Option D is the answer. there you go o(*￣︶￣*)o it was hard to but now its easy

Ian is 144 centimeters tall now by solving the equation.

A mathematical statement called an equation includes the sign "equal to" between two expressions with equal values.

Let Lisa, Ian, and Jim's real heights are L, I, and J, respectively.

Lisa's friend Ian is 4 centimeters taller than her, therefore L=4+I

In the sentence "Ian is 8 cm taller than Jim.": I=8+J, 

Hence, J=I-8 

Thus, Lisa, Ian, and Jim are 4+I, I, and I-8 correspondingly in height.

Since their heights increase by 2 cm every 4 months, this results in an 8-centimeter height increase.

Thus, after four months, Lisa, Ian, and Jim reach the following heights:

4+I+I+8, I+8, and I-8+8 that equal to I+12, I+8, and I respectively

"The total of Ian's and Jim's heights will be 140 centimeters more than Lisa's height in four months" means:

(I + 8) + I = 140 + (I + 12)

⇒2I + 8 = 152+I

⇒I = 144

⇒I=152-8

=144

Therefore, Ian is 144 centimeters tall now.

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actually the number is "x", which oddly enough is the 100%, so we know that 45% of "x" is 99, what is "x" anyway?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 99& 45 \end{array} \implies \cfrac{x}{99}~~=~~\cfrac{100}{45} \\\\\\ \cfrac{x}{99}=\cfrac{20}{9}\implies 9x=1980\implies x=\cfrac{1980}{9}\implies x=220[/tex]

Answer:

1. (3 + 7) ÷ 2 = 5

2. (4 + 9) x 3 = 39

3. 10 ÷ (4 x 5) = 1/2

4.(1 + 2) ÷ 20 = 3/20

Answer: -5j+15

step by step equation

Answer:

[tex]\boxed{a} \quad \boxed{|b - c|} \quad \boxed{|a - b|} \quad \boxed{|a - c|}[/tex]

Step-by-step explanation:

The bars either side of an expression or a value are the absolute value symbol.  "Absolute value" means how far a number is from zero.   Therefore, the absolute value of a number is its positive numerical value.  

The values of a, b and c are negative. All expressions except "a" are absolute values, and are therefore positive numerical values. Therefore, "a" is the least expression.

The simplest way to calculate each expression's numerical value is by assigning approximate numbers to each value, then carrying out each calculation.

From inspection of the graph:

[tex]\begin{aligned} \implies |a - b| & \approx |-3.8 - (-1.3)|\\ & = |-2.5| \\ &= 2.5\end{aligned}[/tex]

[tex]\begin{aligned} \implies |b - c| &\approx |-1.3 - (-0.7)| \\ &= |-0.6| \\ &= 0.6\end{aligned}[/tex]

[tex]\implies a \approx -3.8[/tex]

[tex]\begin{aligned} \implies |a - c| &\approx |-3.8 - (-0.7)| \\ &= |-3.1| \\ &= 3.1\end{aligned}[/tex]

Therefore:  -3.8 < 0.6 < 2.5 < 3.1

Hence, the expressions from least to greatest are:

[tex]\boxed{a} \quad \boxed{|b - c|} \quad \boxed{|a - b|} \quad \boxed{|a - c|}[/tex]

The value of x and y for given equation are (2,15) and (12,24).

Using hit and trial method, we can calculate that the values of given equation are (2,15) and (12,24)

The hit and trial approach is used to balance chemical equations by selecting the least whole number coefficient. tally the instances of each ingredient on either side of a reaction. The element with the lowest frequency of recurrence is considered to be balanced.

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The translation of y = |x| left 9 units and up 11 units is y = |x+9|+11 .

The process of translating an existing graph or equation into a new graph is known as graph translation.

We know that for translation we have to change the x-coordinate and the y-coordinate by the amount that is stated in the translation.

Therefore from the graph we can see that the graph of y =|x| is represented by the blue line and the graph of  translation y = |x+9|+11 is represented by the red line.

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Answer:

y = 3x + 19

Step-by-step explanation:

Here m is the slope and b is the y-intercept.

     y = 3x + 4

m = 3

Parallel lines have same slope.

   m = 3

y = 3x + b

Substitute (-5,4) in the above equation.

        4 = 3*(-5) + b

        4 = -15 + b

  4 + 15 = b

           b = 19

Equation of the line: y = 3x + 19

Answer: y = 3x +19

Step-by-step explanation:

-Parallel lines have the same gradient

y = 3x + c

rearrange to give c= y - 3x

substitute x = -5 and y = 4

c = 3 - (3x-5)

c= 19

so the equation is y = 3x + 19

The maximum that the company can expect for returned items is C. $5972.65

From the information, the average daily profit of an electronics store is $31,435 and the company estimates that 15% is lost each day to returns, with a margin of error of ±4%.

In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings. Simply said, you may determine the degree of unpredictability in data and research results using the margin of error.

The maximum the company can expect for returned items will be:

= (15% + 4%) × Profit

= 19% × $31,435

= 0.19 × $31,435

= $5972.65

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Anna uses 120 g of chocolate and 360 grams of margarine to needed to bake biscuits.

We have data as follows; To make 24 biscuits Anna uses following proportion of Ingredients;

80 g sugar

120 ml syrup

200 g oats

120 g margarine

40 g chocolate

Now We can analysis that anna uses 40 g chocolate to make 24 biscuits

So for 120 g of chocolate Anna can bake [tex] \frac{24(120)}{40}  [/tex]

=  24 (3)

= 72 biscuits

∴ Anna can bake 72 biscuits if she uses 120 g of chocolate.

We want to find how many grams of margarine will she need to make 72 biscuits and this can be done as follows;

Ingredients for 24 biscuits require 120 g margarine

∴ For 72 biscuits anna require [tex] \frac{72(120)}{24}  [/tex] g of margarine

= 3 (120)

= 360 g of margarine.

Hence 360 grams of margarine anna needed.

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Answer: -5x >[-3x,4x,1.5x] 10>[11] 6xy>[-7.85xy, -98xy, 155xy]

Step-by-step explanation:

In the picture there are 2 problems. The similarity is they two have to find 2 question. The difference is given question are different.

Given that,

In the picture there are 2 problems.

We have to find the difference and similarities of question in the picture.

The similarities are they 2 are word problems.

Another similarity is they two have to find 2 question.

1. How much money for 10 days and How many days to collect the money $1.05?

2.How much gallon of water need for 50 minutes and How much time take to fill the pool?

Another similarity is they two have to justified the answer in a mathematical model.

Now,

The difference is,

First question has given sisters and money problem where as the second has given pool and gallon water problem.

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Given the algebraic expression 3x⁴ - 5x + 2, each of following represents:

An algebraic expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables, numerical quantities (constants), accompanied with the use of different mathematical operations.

In Mathematics, a coefficient simply refers to a constant quantity or numerical value (number or numeral) that is typically placed before the variable in an algebraic expression.

In conclusion, an exponent is an operation that raises a numerical value or quantity to the power of another and it is generally written as bⁿ.

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Combine X. which is 2x, -5x, x.

we combine -2x and -5x and gives me -3x.

2x -10 -5x -1 +x

now i combine the last x, which is -3x and x and gives us -2x.

-3x -10 -1 +x

now we just combine the rest of the numbers. -10 and -1 and gives me -11.

-2x -10 -1

we have now combine all the numbers and there's nothing else to combine. we're done combining.  :))

ANSWER:

-2x-11

Answer:

Yes, the relation {(3,2), (4,1), (5,9), (6,12), (7,12)}is a function.

Step-by-step explanation:

Answer:

It's a triangle just like you, except you're acute one.

Step-by-step explanation:

Answer:

807

Step-by-step explanation:

because u multipy 3x19x14+18/2 and u get 807

Answer:

807

Step-by-step explanation:

3*19*12=798

18/2 = 9

798 + 9 = 807

Answer:

Below in bold.

Step-by-step explanation:

The relation between the height of the ladder and distance from the ground is given by Pythagoras Theorem:

h^2 = 13^2 - L^2

h = (169 - L^2)^1/2

Finding the derivative:

dh/dL = 1/2(169 - L^2)^-1/2 * -2L

         = -L / (169 -L^2)^1/2

dL/dt = 6

So, dh/dt = dh/dL * dL/dt

               = -6 * L/ (169 - L^2)^1/2

               = -6 * 12 / (169 - 12^2)^1/2

                = -72/5 ft /second

                 = -14.4 ft/second.

It's negative because the distance from the ground is decreasing.

Answer:

Step-by-step explanation:

Expand · Evaluate Fractions · Linear Equations · Quadratic Equations ... 7 + 4 s = 10 ( 6 - 9 s ). 7+4s=10(6−9s) ... 7 + 4 s = 10 ( 6 - 9 s ).

Answer:

-10b × 90

Step-by-step explanation:

-10 * b =-10b

10 *9=90

Your welcome :)

The expression that shows the price x of a new car minus à 25% down payment is x - 0.25 = 0.75x

Based on the information given, it should be noted that the information is to simply illustrate find the expression that shows the price x of a new car minus a 25% down payment.

This will be illustrated as:

= x - (25% × x)

= x - 0.25x

= 0.75x

Therefore, the expression is 0.75x.

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Answer:

12.5

Step-by-step explanation:

-3\4÷[-0.06]

convert -0.06to fraction

-3\50

then divide

-3\4÷-3\50

sign changes

-3\4 ÷ 50\3

=50\4

=12.5

The error is that vertical angles are congruent, and don't necessarily add to 180°. Vertical angles only add to 180° if they are right angles.

[tex]13x+45+19x+3=180 \\ \\ 32x+48=180 \\ \\ 32x=132 \\ \\ x=33/8[/tex]

Answer:

x = 7

Step-by-step explanation:

Vertical Angle Theorem

When two straight lines intersect, they form two pairs of angles.  The vertically opposite (non-adjacent) angles are congruent.

Angles on a Straight Line Theorem

The sum of angles formed on a straight line is equal to 180°.

The error made is confusing the Vertical Angle Theorem with the Angles on a Straight Line Theorem.  To find x, we should either:

Applying the Vertical Angle Theorem:

[tex]\boxed{\begin{aligned} (13x+45)^{\circ} &=(19x+3)^{\circ} \\13x+45&=19x+3\\13x+42&=19x\\42&=6x\\x&=7\end{aligned}}[/tex]

Applying the Angles on a Straight Line Theorem:

[tex]\boxed{\begin{aligned}(6x+2)^{\circ}+(19x+3)^{\circ}&=180^{\circ}\\6x+2+19x+3&=180\\25x+5&=180\\25x&=175\\x&=7\end{aligned}}[/tex]

Therefore, the value of x is [tex]\boxed{x=7}[/tex] .