Amara is 5'6" tall and casts a shadow that is 2 feet long. At the same time a rollercoaster casts a 120 foot shadow. How tall is the rollercoaster?

The intersection of sets M and F contains the elements "c" and "d".

To find the intersection of sets M and F, we need to identify the elements that are common to both sets.

M = {a, b, c, d}

F = {c, d, e, f}

The intersection of M

and F is denoted by M ∩ F, which represents the set containing elements that are present in both M and F.

Looking at the elements in M and F, we can see that the common elements between the two sets are "c" and "d".

Therefore, the intersection of M and F can be expressed as:

M ∩ F = {c, d}

So, the intersection of sets M and F contains the elements "c" and "d".

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Answer:

A=6/5    B=0.111...    C=166 2/3%

Step-by-step explanation:

i hope this helped you :)

Answer:

the answers will be A. B. C.

Step-by-step explanation:

took the test on edgenuity and got it right :D

Answer:

Step-by-step explanation: you are sped that is the answer black n

The critical value of that used in constructing the confidence interval is (42.512 , 31.688)

We have the following information from the question:

Sample mean, x(bar) = 37.1 bushels per acre

Sample size, n = 10

Alpha, α = 0.05

Sample standard deviation, s = 5.91 bushels per acre

Degree of freedom = n - 1 = 9

We have to determine the 98% confidence interval for the true mean yield.

We use the formula:

x(bar) ± \(t_c_r_i_t_i_c_a_l\)\(\frac{s}{\sqrt{n} }\)

Plug all the values in above formula:

37.1 ± 2.896\((\frac{5.91}{\sqrt{10} } )\)

37.1 ± 5.412 = (42.512 , 31.688)

Hence, The critical value of that used in constructing the confidence interval is (42.512 , 31.688).

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Answer:

The intensity of the 2012 earthquake was about 126 times the intensity of the 1952 earthquake.

Step-by-step explanation:

To compare the intensities, we first need to convert the magnitudes to intensities using the log formula. Then we will set up a ratio to compare the intensities.

Convert the magnitudes to intensities and convert to exponential form.

R=logI

2012 earthquake:

8.6I=logI=108.6

1952 earthquake:

6.5I=logI=106.5

Form a ratio of the intensities.

intensity for 2012intensity for 1952

Substitute in the values and divide by subtracting the exponents to find

108.6106.5102.1≈126.

The intensity of the 2012 earthquake was about 126 times the intensity of the 1952 earthquake.

Your answer:

The intensity of the 1952 earthquake was about 110 times the intensity of the 2012 earthquake.

Answer:

The intensity of the 2012 earthquake was about 126 times the intensity of the 1952 earthquake.

Step-by-step explanation:

To compare the intensities, we first need to convert the magnitudes to intensities using the log formula. Then we will set up a ratio to compare the intensities.

Convert the magnitudes to intensities and convert to exponential form.

R=logI

2012 earthquake:

8.6I=logI=108.6

1952 earthquake:

6.5I=logI=106.5

Form a ratio of the intensities.

intensity for 2012intensity for 1952

Substitute in the values and divide by subtracting the exponents to find

108.6106.5102.1≈126.

The intensity of the 2012 earthquake was about 126 times the intensity of the 1952 earthquake.

Answer:

m= 1; (0, 3)

Step-by-step explanation:

jus bc

Using it's concept, it is found that the probability that the button is either pink or blue is:

\(p = \frac{26}{29}\)

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

There are six times as many pink buttons as yellow books, hence:

z = 6x.

Considering the ratio of yellow buttons to blue buttons, we have that:

\(\frac{x}{y} = \frac{3}{8}\)

3y = 8x

\(y = \frac{8x}{3}\)

The total number of buttons is given by:

\(T = x + \frac{8x}{3} + 6x\)

\(T = \frac{29x}{3}\)

The number of pink or blue is given by:

\(y + z = \frac{8x}{3} + 6x = \frac{26x}{3}\)

Hence the probability is given by:

\(p = \frac{\frac{26x}{3}}{\frac{29x}{3}} = \frac{26}{29}\)

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The fourth term a₄ of the sequence is 29933

From the question, we have the following definition of the function that can be used in our computation:

a₁= 3

aₙ = (aₙ₋₁)² + 4

The above definitions imply that we simply square the previous term and then add 4 to the squared result to get the current term

Using the above as a guide,

so, we have the following representation

a₂ = (3)² + 4

a₂ = 13

Also, we have

a₃ = (13)² + 4

a₃ = 173

Lastly, we have

a₄ = (173)² + 4

Evaluate the equation

a₄ = 29933

Hence, the value of a₄ is 29933

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\(\bold{Hello!}\\\bold{Your~Answer~Is~Below!}\)

______________________________

\(\bold{Solution~Steps:}\)

\(1.)~Rewrite: 64x^6-1~as~(8x^3)^2-1^2\)

        \(a^2-b^2=(a-b)(a+b)\)

       \(\bold{(8x^3-1)(8x^3+1)}\)

\(2.)~Rewrite:~8x^3-1~as~(2x)^3-1^3\)

        \(a^3-b^3=(a-b)(a^2+ab+b^2)\)

       \(\bold{(2x+1)(4x^2+2x+1}\)

\(3.)~Rewrite:~8x^3+1~as~(2x)^3+1^3\)

       \(a^3+b^3=(a+b)(a^2-ab+b^2)\)

       \(\bold{(2x+1)(4x^2-2x+1)}\)

\(4.)~Rewrite~the~complete~factored~expression:\)

        \((4x^2-2x+1),~(4x^2+2x+1)\)

______________________________

\(\bold{Answers:}\)

______________________________

\(\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}\)

Answer:

y = x + 1

Step-by-step explanation:

Parallel lines have same slope.

y = x - 1

Compare with the equation of line in slope y-intercept form: y = mx +b

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

m =1

Now, the equation is,

         y = x + b

The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,

        -2 = -3 + b

  -2 + 3 = b

         \(\boxed{b= 1}\)

    Equation of line in slope-intercept form:

                  \(\boxed{\bf y = x + 1}\)      

The equation is :

Solution:

If two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.

We shouldn't forget about a point on the line : (-3, -2).

I plug that into a point-slope which is :

\(\sf{y-y_1=m(x-x_1)}\)

Slope is 1 so

\(\sf{y-y_1=1(x-x_1)}\)

Simplify

\(\sf{y-y_1=x-x_1}\)

Now I plug in the other numbers.

-3 and -2 are x and y, respectively.

\(\sf{y-(-2)=x-(-3)}\)

Simplify

\(\sf{y+2=x+3}\)

We're almost there, the objective is to have an equation in y = mx + b form.

So now I subtract 2 from each side

\(\sf{y=x+1}\)

Answer:

First find the sales tax: $160 \times 0.0785 = $12.56.

Then add the sales tax to the price of the purchase to find the total cost: $160 + $12.56 = $172.56.

Next find the daily interest rate: $0.042\% = 0.00042$.

Then multiply the daily interest rate by the total cost to find the interest per day: $0.00042 \times $172.56 = $0.0725752$.

Finally, multiply the interest per day by 30 days to find the total interest and add it to the total cost to find the final answer: $0.0725752 \times 30 = $2.177256 + $172.56 = $174.737256 \approx $174.74.

So the answer is b.

Answer:

Step-by-step explanation:

0,5

the domain of a sine function is from negative to positive infinity. The domain is written as (-∞,∞) in interval notion. It it the same thing as the domain is all real numbers.

hope this helped <3

Answer:

the domain of the function y=sin(x) ) is all real numbers (sine is defined for any angle measure), the range is −1≤y≤1 .

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

so first you need to make a equation

since we are trying to find out the amount of rides we can make that stand for x so..

we can first write it as 2.50x

(x = the numbers of rides)

since the entree fee is 17 dollars but they are two kids we have to times 17 by 2 giving us 34 we can add 34 dollars to the equation

34 + 2.50x

alex and kendra have only $51.50 dollars and they cant spend more then that so that means the whole equation has to equal $51.50

34 + 2.50x = 51.50

since we are trying to find the number of rides we can subtract 34 on both sides giving us

2.50x = 51.50 - 34

2.50x = 17.50

then we solve for x which you can divde 2.50 on both sides

x = 17.50 /2.50

x = 7

If Given f(x) = 1/2 (3 - x) ^ 2 , the value of f(15) is 72.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.

The given function is:

f(x) = 1/2 (3 - x)²

To find the value of f(15), we need to substitute 15 for x in the function:

f(15) = 1/2 (3 - 15)²

Here, we subtract 15 from 3 to get -12 in the parentheses, and then we square it to get 144. We can simplify the expression further by multiplying 144 by 1/2, which gives us 72:

f(15) = 1/2 (144)

f(15) = 72

Therefore, the value of f(15) is 72.

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Answer:

0 x anything = 0

Step-by-step explanation:

Anything multiplied by 0 = 0

Answer:

Step-by-step explanation:

radius = 16/2 = 8

Then you can apply the formula to calculate the base area, lateral surface or surface or even perimeter

Answer

Step by step explantion:

bsf= 26

Eliana:98

SS teacher=203

David=55

Step-by-step explanation:

m= music

bsf: m

eliana:4m-6

David:2m+3

SS teacher: 2(4m-6)+7

m+4m-6+2m+3+8m-12+7

382=15m-7

7+ +7

389=15m

/15m /15m

m=26

multiply 26 to each one of them

A) The maximum of the periodic function is 1.

B) The minimum of the periodic function is - 3.

C) The equation of the midline of this periodic function is (1 - 3)/2 = - 1.

D) The amplitude of the periodic function is (1 + 3)/2 = 2.

E) the period of the periodic function is 2π/3.

F) We know frequency = 2π/period = 2π/2π/3 = 2π×(3/2π) = 3.

G) The amplitude of the periodic function is 2sin3((πx - π/6)) - 1.

A period is the amount of time between two waves, whereas a periodic function is one whose values recur at regular intervals or periods.

A function f will be periodic with period x, so if we have

f (a + x) = f (a), For every a > 0.

A) The periodic function's maximum value is 1.

B) The periodic function's minimum value is -3.

C) This periodic function's midline's equation is (1 - 3)/2 = - 1.

D) The periodic function's amplitude is (1 + 3)/2 = 2.

E) The periodic function's period is 2π/3.

F) We already know that frequency = 2π/period

= 2π/2π/3 = 2π×(3/2π) = 3.

G) The periodic function is  2sin3((πx - π/6)) - 1.

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Answer:

800 km

Step-by-step explanation:

Does the plane have a speed of it's own?  I don't see it, so will assume the plane is simply travelling at 300 km/h.

(300 km/hr)*(1 hr/60 min) = 5 km/min

(5 km/min)*(160 min) = 800 km in 160 minutes

Answer:

"30 years or less when, in reality, the average age is more than 30 years"

Step-by-step explanation:

Type I error is produced when conclusion rejects a true null hypothesis.

The null hypothesis is

"The average gamer is more than 30 years old"

(deduced from the wording, not explicitly stated).

Then if the conclusion is "the average gamer is less than or equal to 30 years old" when in reality the average age is more than 30 years, then there is a type I error, since the null hypothesis is rejected.

Answer is D:

"30 years or less when, in reality, the average age is more than 30 years"

Answer:

the mean absolute deviation (MAD) of the data set {12, 11, 12, 16, 19} is 2.8.

Step-by-step explanation:

To find the mean absolute deviation (MAD) of the data set {12, 11, 12, 16, 19}, follow these steps:

Find the mean of the data set:

mean = (12 + 11 + 12 + 16 + 19) / 5 = 14

Calculate the absolute deviation of each data point from the mean by subtracting the mean from each data point and taking the absolute value:

|12 - 14| = 2

|11 - 14| = 3

|12 - 14| = 2

|16 - 14| = 2

|19 - 14| = 5

Find the mean of the absolute deviations:

MAD = (2 + 3 + 2 + 2 + 5) / 5 = 2.8

Therefore, the mean absolute deviation (MAD) of the data set {12, 11, 12, 16, 19} is 2.8.

If the water snake is initially 30 meters below the ground level and then climbs 20 meters upward, it will be 30 - 20 = 10 meters below the ground level. However, if it then slips down 10 meters, it will be 10 + 10 = 20 meters below the ground level.

The missing values are\(x= 0\) and\(y=-2\), so that each ordered pair will satisfy the given equation.

What is ordered pairs?

An ordered pair is a combination of the x coordinate (abscissa) and the y coordinate (ordinate), with two values expressed between parenthesis in a definite order. It aids visual comprehension by locating a point on the Cartesian plane. An ordered pair's numeric values could be integers or fractions.

According to the given information:

The given ordered pairs are \((-2,y)\) and\((x,2)\), the equation is \(y= 2x+2\)

Substitute each value into the equation.

Since \(x= -2\) in the first ordered pair, to find y, you just put it into the equation as x:

\(y = 2(-2) +2\\= -4 +2\\= -2\)

The first ordered pair is \((-2,-2)\)

Now, do the same for the second ordered pair. Substitute 2 for the y and solve for x:

\(2 =2x+2\\0 =2x\\x =0\)

The second ordered pair is \((0,2)\)

Therefore, the missing x and y values are x=0 and y=-2, so that each ordered pair will satisfy the given equation.

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It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.

Time = Distance / Speed

Time = 389 miles / 65 mph

Time ≈ 5.98 hours

Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.

To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.

Number of gallons = Distance / Mileage

Number of gallons = 389 miles / 29 miles per gallon

Number of gallons ≈ 13.41 gallons

The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.

Cost = Number of gallons * Cost per gallon

Cost ≈ 13.41 gallons * $3.89/gallon

Cost ≈ $52.18

Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

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The law of demand applies during online sales of shoes; that is when consumers rush to buy products at 50% discount.​

In Mathematics and Economics, the law of demand can be defined as an economic theory which states that there exist a negative relationship between the price of a product (good) and the quantity of the product (good) that is being demanded by consumers.

This ultimately implies that, holding all the other factors constant, there would be a significant decrease (fall or decline) in the demand for a product (good) and service when the price of a product (good) and service in the market increases (rises), and vice-versa in accordance with the law of demand.

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Complete Question:

The law of ___________applies during online sales of shoes; that is when consumers rush to buy products at 50% discount​