Mark ordered a square pizza that has a side length of 12 inches Rodney ordered a round pizza with a 12 inch diameter each of them paid seven dollars for their pizza you got the better deal

Answer:

x = 80

y = 130

Step-by-step explanation:

The 2 angles are supplementary. so, x-30 + x+50 = 180.

We solve and get 2x = 180-20

x = 80

y = x+50, because of parallel rules.

y = 130

Answer:

x = 80

y = 130

Step-by-step explanation:edge 2020

Answer:

{2, 4, 6}

Step-by-step explanation:

the domain is the interval or set of valid x (input) values.

the range is the interval or set of valid y (result) values.

just use the x values in the functional definition and collect the result values. that is the range.

Answer:

58 members of the House of Representatives, and 28 members of the senate.

Step-by-step explanation:

We can find the answer to this by simply subtracting:

86 - 58 = 28

So, there are 58 members of the House of Representatives, and 28 members of the senate.

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Answer:

 proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin.

Step-by-step explanation:

Answer: 13 is in C (the set of complex numbers)

Step-by-step explanation:

13 is in R (the set of real numbers)

13 is in Q (the set of rational number)

13 is in Z (the set of integers)

13 is in N (the set of natural numbers)

162

Step-by-step explanation:

(12 square - 15 + 17) + 16

=(144 - 15 + 17) + 16

=146 + 16

=162

The transformation rule in the given image is expressed as:

Rotation of 270° counterclockwise about the origin

From the given image, the coordinates of the trapezium before transformation are:

L(-7, -2)

M(-5, -2)

N(-3, -4)

Q(-8, -5)

The coordinates of the trapezium after transformation are:

L'(-2, 7)

M'(-2, 5)

N'(-4, 3)

Q'(-5, 8)

It is very clear that the transformation rule here is:

(x, y) → (y, -x)

This depicts a rotation of 270° counterclockwise about the origin

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Answer:

Step-by-step explanation:

Answer:

g(3) = 11

g(-3) = 16

g(-1) =3

Step-by-step explanation:

For g(3)

g(x)= x² +2

g(3) = 3² + 2

g(3) = 9+2

g(3) = 11

For g(-3)

g(x) = -3x + 7

g(-3) = -3(-3) + 7

g(-3) = 9 + 7

g(-3) = 16

For g(-1)

g(x) = x² + 2

g(-1) = (-1)² +2

g(-1) = 1+2

g(-1) =3

Answer:

use the calculator

Step-by-step explanation:

that is for they event the calculator

Answer:

drippy pen iss

Step-by-step explanation:

Answer:

57,000

Step-by-step explanation:

To find the value of tan(-284°24'), we can use the fact that the tangent function has period π, which means that:

tan(x) = tan(x + nπ)

where n is any integer. We can use this fact to convert the angle -284°24' to an equivalent angle between 0° and 360°:

-284°24' = -360° + 75°36' = 75°36'

Now, we need to find the reference angle, which is the acute angle between the terminal side of the angle and the x-axis. Since 75°36' is in the second quadrant (where the tangent function is positive), the reference angle is:

75°36' - 180° = -104°24'

Finally, we can use the identity:

tan(-θ) = -tan(θ)

to find the value of tan(-104°24'):

tan(-104°24') = -tan(104°24')

We can use a calculator to find that:

tan(104°24') ≈ 2.3835

Therefore:

tan(-284°24') ≈ -2.3835 (rounded to the nearest ten-thousandth)

So, the value of tan(-284°24') to the nearest ten-thousandth is -2.3835.

Answer:

43,025,92

Step-by-step explanation:

Answer:

The answer to this question is 28 because -7 times 2 equals 14 times -2 equals 28

Answer:

V = 460.68

Step-by-step explanation:

V=(lwh)/3

The z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.

The mean of the set of data is equal to the sum of all the quantities in the data, and divide by the no of quantities.

Given:

The standard deviation, d = 182.56,

The mean, m = 265.95,

The observation value, X = 235.90

Calculate the z score by the following formula given below,

Z = (X - m) / d,

Here, Z is the Z score,

Z = 235.90 -  265.95 / 182.56

Z =  -0.165

Therefore, the z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.

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Answer:

D=1

Step-by-step explanation:

1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1

Answer:

I honestly don't know but I think its all real numbers but not zero

Step-by-step explanation:

Answer:

1/3 foot longer

Step-by-step explanation:

2/3-1/3=1/3

Answer:

-2.1, -0.5, 5/100, 0.5

Step-by-step explanation:

9514 1404 393

Answer:

  -361

Step-by-step explanation:

Your calculator can tell you the result. It is -361.

Start with the inner parentheses and work outward. Do multiplication and division in the order shown, left to right, before addition or subtraction.

  -3[2/6+8{-9/3(8-5*3)-6}]​

  = -3[2/6+8{-9/3(8-15)-6}]​

  = -3[2/6+8{-9/3(-7)-6}]​

  = -3[2/6+8{-3(-7)-6}]​

  = -3[2/6+8{21-6}]​

  = -3[2/6+8{15}]

  = -3[1/3+8{15}]

  = -3[1/3+120]

  = -3[361/3]

  = -361

In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.

To determine the percentage change within the number of wolves each year, we ought to look at the development rate of the work w(x) = 14 * 1.08^x.

The development rate in this case is given by the example of 1.08, which speaks to the figure by which the number of wolves increments each year. In this work, the coefficient 1.08 speaks to a development rate of 8% per year.

To calculate the percentage change, we subtract 1 from the growth rate and increase by 100 to change over it to a rate:

Percentage change = (1.08 - 1) * 100 = 0.08 * 100 = 8%.

In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.

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The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .

An inverse function or an anti function, which can reverse into another function.In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by 'f' or 'F', then the inverse function is denoted by f-1 or F-1.

now the given functions are,

f(x) = √(2x + 2) and

g(x) = (x^2 -2)/2

Now,

f{g(x)} = f{(x^2 -2)/2}

         = √(2(x^2 -2)/2 + 2)

         = √ x^2 -2 + 2

f{g(x)} = √ x^2

f{g(x)} =  x

Now,

g{f(x)} = g{ √(2x + 2)}

         = (√(2x + 2)^2 -2)/2

         = (2x + 2) -2 /2

         = 2x/2

f{g(x)} = x

Here we see that ,

f{g(x)} = g{f(x)}

Hence f and g are not inverses.

∴The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .

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Answer:

See explanations below

Explanation:

Gien the functions

f(x) = 2x^2 - 1

g(x) x - 5

when x = 0

f(0) = 2(0)^2 - 1

f(0) = 0 -1

f(0) = -1

when x = -2

f(-2) = 2(-2)^2 - 1

f(-2) = 2(4) - 1

f(2) = 8 - 1

f(2) = 7

when x = 5

f(5) = 2(5)^2 - 1

f(5) = 2(25) - 1

f(5) = 50 - 1

f(5) = 49

For the function g(x)

when x = -5

g(-5) = -5 - 5

g(-5) = -10

when x = 0

g(0) = 0 - 5

g(0) = -5

when x = 5

g(5) = 5 - 5

g(5) = 0

\((\stackrel{x_1}{4}~,~\stackrel{y_1}{-1})\qquad \qquad m = -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{-3}(x-\stackrel{x_1}{4})\implies y+1=-3(x-4) \\\\\\ y+1=-3x+12\implies \stackrel{\textit{slope-intercept form}}{y=-3x+11}\)

does it pass through the origin?  well, we could draw it, or we can just check that, the origin is at 0,0, or namely when x = 0, y = 0, let's see if that's true, let's make x = 0, let's see what we get for "y".

y = -3(0) + 11 => y = 11

woops, no dice, y ≠ 0, so nope, doesn't pass through the origin.

Answer:

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the population proportion significantly differs from 0.89.

The requirements for the test are satisfief.

n(1-p)=70>10

Step-by-step explanation:

This is a hypothesis test for a proportion.

There are 3 requirements to have a valid test of proportion: random sample, independence and normal.

For the first two (random and independent sample) we don't have details, but we assume the sampling has been random.

The latter can be verified by calculating np and n(1-p):

\(np=430>10\\\\n(1-p)=70>10\)

Both are bigger than 10, so the normal approximation can be considered appropiate.

The claim is that the population proportion significantly differs from 0.89.

Then, the null and alternative hypothesis are:

\(H_0: \pi=0.89\\\\H_a:\pi\neq 0.89\)

The significance level is 0.01.

The sample has a size n=500.

The sample proportion is p=0.86.

\(p=X/n=430/500=0.86\)

The standard error of the proportion is:

\(\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.89*0.11}{500}}\\\\\\ \sigma_p=\sqrt{0.000196}=0.014\)

Then, we can calculate the z-statistic as:

\(z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.86-0.89+0.5/500}{0.014}=\dfrac{-0.029}{0.014}=-2.072\)

This test is a two-tailed test, so the P-value for this test is calculated as:

\(\text{P-value}=2\cdot P(z<-2.072)=0.038\)

As the P-value (0.038) is greater than the significance level (0.01), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the population proportion significantly differs from 0.89.

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.

(a) For the series 1+2+3+4+...+392:

Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.

(b) For the series 1+2+3+4...x:

To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).

(c) For the series 546 + 547 + 548 + 549:

Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.

The final answer for each part is:

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

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