A company ships coffee mugs using boxes in the shape of cubes. The function g(x) = gives the side length, in inches, for a cube with a volume of x cubic inches. Suppose the company decides to double the volume of the box. Which graph represents the new function?

Answer:

A) No because the theater did not survey everyone in the theater.

Answer:

Yes, because the theater surveyed a random sample.

Step-by-step explanation:

The survey is valid because there was a random sample. They surveyed every fifth person, so there was a variety of age groups, genders, and preferences included in the sample. Therefore, the correct answer is yes, because the theater surveyed a random sample.

Answer:

not a term

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

d = 11- 5 = 17 - 11 = 23 - 17 = 6

This indicate the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 5 and d = 6, thus

[tex]a_{n}[/tex] = 5 + 6(n - 1) = 5 + 6n - 6 = 6n - 1

Equate this to 301 and solve for n

6n - 1 = 301 ( add 1 to both sides )

6n = 302 ( divide both sides by 6 )

n = 50.333....

Since n is not an integer value then 301 is not a term in this sequence.

Answer:

169.74

Step-by-step explanation:

this problem is like a triangle, the sun, mars, and earth are the three points, so you just use a^2 + b^2 =  c^2 so basically

93^2 + 142^2 = c^2

8649 + 20164 = 28813

28813 square root = 169.74

Answer:

a-2b= -1.6x-2.0

Step-by-step explanation:

[tex]a=1.4-2x\\b=-0.2x+1.7\\a-2b= (1.4-2x)-2(-0.2x+1.7)\\a-2b= 1.4-2x+0.4x-3.4\\a-2b=-1.6x-2.0\\[/tex]

{By, substituting the values of a and b in a-2b , we can find the value of a-2b}

Answer:

a. 8.5 in.

b. 34 in

c. x = 1/39 x^2.

Step-by-step explanation:

Part a.

x = 1/34 y^2

y^2 = 34x

Comparing with y^2 = 4px where p is the focus:

4p = 34

p = 8.5 in.

Part b.

The diameter = 4p = 34 in.

Part c.

Diameter = 4p = 34 + 5 = 39 in

The new equation is x = 1/39 x^2.

Answer:  see proof below

Step-by-step explanation:

Use the following when solving the proof...

Double Angle Identity: cos2A = 1 - 2sin²B

Pythagorean Identity: cos²A + sin²A = 1

note that A can be replaced with B

Proof from LHS → RHS

Given:                            cos²A + sin²A · cos2B

Double Angle Identity: cos²A + sin²A(1 - 2sin²B)

Distribute:                      cos²A + sin²A - 2sin²A·sin²B

Pythagorean Identity:                        1 - 2sin²A·sin²B

Pythagorean Identity:   cos²B + sin²B - 2sin²A·sin²B

Factor:                           cos²A + sin²B(1 - 2sin²A)

Double Angle Identity: cos²B + sin²B · cos2A

cos²B + sin²B · cos2A = cos²B + sin²B · cos2A  [tex]\checkmark[/tex]

Answer:

2−12x+36

Step-by-step explanation:

Answer:

(x-6)² = (x-6)(x-6) = x² - 12x + 36

Step-by-step explanation:

Answer:

f(x) = 2x + 10

Step-by-step explanation:

Let's call this function f(x), where f(x) is time to get the order ready and x is the number of parts:

2x is the time to manufacture all parts of the order and 10 min is the time to pack them.

Answer:

2x + 10 is the correct answer :)

Answer:

m∠A = 62°

m∠C = 28°

AC = 17 units

Step-by-step explanation:

In the given triangle ABC,

m∠B = 90°, Cos(C) = [tex]\frac{15}{17}[/tex] and AB = 16 units

Since, Cos(C) = [tex]\frac{\text{Corresponding side}}{\text{Hypotenuse}}[/tex]

Cos(C) = [tex]\frac{\text{Corresponding side}}{\text{Hypotenuse}}=\frac{15}{17}[/tex]

[tex]\text{C}=\text{Cos}^{-1}(\frac{15}{17})[/tex]

m∠C = 28.07°

m∠C ≈ 28°

Therefore, side BC = 15 units and AC = 17 units

Now we apply Sine rule in the given triangle.

Sin(A) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

         = [tex]\frac{\text{BC}}{\text{AC}}[/tex]

         = [tex]\frac{15}{17}[/tex]

A = [tex]\text{Sin}^{-1}(\frac{15}{17} )[/tex]

A = 61.93°

m∠A = 62°

Answer:

Step-by-step explanation:

Since the triangle is a right angled triangle we can use the Pythagoras theorem to find the missing side

Using the Pythagoras theorem

That's

[tex] {a}^{2} = {b}^{2} + {c}^{2} [/tex]

From the question

x is the hypotenuse or the longest side of the triangle

Substituting the values into the above formula we have

[tex] {x}^{2} = {9}^{2} + {7}^{2} [/tex]

[tex] {x}^{2} = 81 + 49[/tex]

[tex] {x}^{2} = 130[/tex]

Find the square root of both sides

We have the final answer as

Hope this helps you

Answer:

The correct option is (B).

Step-by-step explanation:

In this case, we need to test whether the claim made by the new brand of gym shoe is correct or not.

Claim: A new brand of gym shoe claims to add up to 2 inches to an athlete’s vertical leaps.

So, we need to test whether the average vertical leap of all the athletes increased by 2 inches or not after using the new brand of gym shoe.

The sample procedure would be to compute the average vertical leap of a group of athletes in their regular shoes (or a different pair) and the average vertical leap of a group of athletes in their new shoes.

Compare the two averages to see whether the difference is 2 inches or not.

The experimental group would be the one with the new shoes and the control group would be the one with the different pair of shoes.

Thus, the correct option is (B).

Answer:

B) Find the average vertical leap of all the athletes in their regular shoes. Give the experimental group the new shoes and the control group a different pair of shoes. Find the average vertical leap of the athletes in both groups. Compare the increases in vertical leap for each group.

Step-by-step explanation:

Answer:

There is not sufficient evidence to support a claim of linear correlation between the two variables.

Step-by-step explanation:

The data provided is as follows:

X        Y

78       5.5

79       8.8

56.2      3.3

68.3       1.7

77.9      10.8

38.2       0.1

(a)

The scatter plot is attached below.

(b)

Use the Excel function: =CORREL(array1, array2) to compute the correlation coefficient, r.

The correlation coefficient between the number of internet users and the award winners is,

r = 0.797.

(c)

The test statistic value is:

[tex]t=r\sqrt{\frac{n-2}{1-r^{2}}}[/tex]

  [tex]=0.797\times\sqrt{\frac{6-2}{1-(0.797)^{2}}}\\\\=0.797\times 3.311372\\\\=2.639163484\\\\\approx 2.64[/tex]

The degrees of freedom is,

df = n - 2

   = 6 - 2

   = 4

Compute the p-value as follows:

[tex]p-value=P(t_{n-2}<2.64)=0.057[/tex]

*Use a t-table.

p-value = 0.057 > α = 0.05

The null hypothesis will not be rejected.

Thus, it can be concluded that there is not sufficient evidence to support a claim of linear correlation between the two variables.

Answer:

  f(x) = x +3

Step-by-step explanation:

The first differences for adjacent x-values are all 1, so this is a linear function. Because those differences are all 1, it is a linear function with a slope of 1. We observe that f(0) = 3, so that is the y-intercept.

__

The slope-intercept form of a linear function is ...

  y = mx + b . . . . . where m is the slope (1) and b is the y-intercept (3).

A suitable function rule is ...

  f(x) = x +3

Answer:

It will take 0.75B hours for the return leg

Step-by-step explanation:

Here, given that the first leg of the trip was for B hours at 3 miles per hour , we want to calculate the number of hours the return leg will take at 4 miles per hour given that it is the same distance.

Mathematically, we know that ;

Distance = speed * time

So the distance taken on the first leg of the trip would be;

Distance = 3 miles per hour * B hours = 3B miles

Now, this distance was traveled on the return leg also.

This means that the time taken here will be;

Time on return leg = distance/speed = 3B/4 = 0.75B hours

Answer:

Step-by-step explanation:

slant height = l = 15 mm

radius = r = 7 mm

Surface area of cone = πr (l + r) square units

                                  = 3.14 * 7 *(15 + 7)

                                  = 3.14 * 7 * 22

                                 = 483.56 square mm

Answer:

1 3/4 cups is between the 13th and 15th lines from the bottom.

Step-by-step explanation:

The bottom of the cup has no line and corresponds to 0 eights.

1st line up: 1/8 cup

2nd line up: 2/8 cup    this is also called 1/4 cup

3rd line up: 3/8 cup

4th line up: 4/8 cup     this is also called 1/2 cup

5th line up: 5/8 cup

6th line up: 6/8 cup     this is also called 3/4 cup

7th line up: 7/8 cup

8th line up: 8/8 cup     this is also called 1 cup

9th line up: 9/8 cup

10th line up: 10/8 cup    this is also called 1 1/4 cup

11th line up: 1 3/8 cup

12th line up: 1 4/8 cup     this is also called 1 1/2 cup

13th line up: 1 5/8 cup

14th line up: 1 6/8 cup    this is also called 1 3/4 cup

15th line up: 1 7/8 cup

16th line up: 1 8/8 cup    this is also called 2 cups

1 3/4 cups is between the 13th and 15th lines from the bottom.

[tex]\{2,3\}[/tex] is a set containing two elements - numbers 2 and 3

[tex]\{\{2,3\}\}[/tex] is a set containing one element - a set [tex]\{2,3\}[/tex]

Answer:

x-3 is cancelled and just one remains in numerator.

Answer:

x = 5

Step-by-step explanation:

Notice that there is also a base 5 on the right hand side of the equation, therefore, let's move [tex]5^{x-4}[/tex] to the right by dividing both sides by it. and then re-writing the right hand side as 5 to a power:

[tex]2^{x-5}\,*\,5^{x-4}=5\\2^{x-5}=5/5^{x-4}\\2^{x-5}=5\,*\,5^{4-x}\\2^{x-5}=5^{5-x}[/tex]

Now apply log to both sides in order to lower the exponents (where the unknown resides):

[tex](x-5)\,log(2)=(5-x)\,log(5)[/tex]

Notice that when x = 5, this equation is true because it makes it the identity: 0 = 0

So, let's now examine what would be the solution of x is different from 5, and we can divide by (x - 5) both sides of the equation:

[tex]log(2)=\frac{5-x}{x-5} \,log(5)\\log(2)=-1\,\,log(5)\\log(2)=-log(5)[/tex]

which is an absurd because log(2) is [tex]\neq[/tex] from log(5)

Therefore our only solution is x=5

Answer:

if decimal  no solution

if multiply x =5

Step-by-step explanation:

If this is a decimal point

2^(x-5) . 5^(x-4) = 5

Rewriting .5 as 2 ^-1

2^(x-5)  2 ^ -1 ^(x-4) = 5

We know that a^ b^c = a^( b*c)

2^(x-5)  2 ^(-1*(x-4)) = 5

2^(x-5)  2 ^(-x+4) = 5

We know a^ b * a^ c = a^ ( b+c)

2^(x-5 +-x+4) = 5

2^(-1) = 5

This is not true so there is no solution

If it is multiply

2^(x-5)  * 5 ^(x-4) = 5

Divide each side by 5

2^(x-5)  * 5 ^(x-4) * 5^-1 = 5/5

We know that a^ b * a^c = a^ ( b+c)

2^(x-5)  * 5 ^(x-4 -1)  = 1

2^(x-5)  * 5 ^(x-5)  = 1

The exponents are the same, so we can multiply the bases

a^b * c*b = (ac) ^b

(2*5) ^ (x-5) = 1

10^ (x-5) = 1

We know that 1 = 10^0

10^ (x-5) = 10 ^0

The bases are the same so the exponents are the same

x-5 = 0

x=5

Answer:

you have $185 in total unless the aunt and uncle gave you 100 each, then your answer would be $285

Step-by-step explanation:

Answer:

0$

Step-by-step explanation:

simple

Answer: what table? u need to add an attachment

Step-by-step explanation:

The table containing whole number express 2.8 as the sum or difference.

To express 2.8 as the sum or difference of whole numbers.

There are three different ways to do it:

1. As a sum of whole numbers:

  2 + 0.8 = 2.8

2. As a difference of whole numbers:

  4 - 1.2 = 2.8

3. Another way as a sum of whole numbers:

  1 + 1.8 = 2.8

The table will be:

Representation             Whole Number 1        Whole Number 2      Result

          1                                      2                               0.8                       2.8

          2                                      4                               1.2                       2.8

          3                                      1                               1.8                        2.8

As each row represents a different way to represent the number 2.8 using whole numbers.

Learn more about Whole number here:

https://brainly.com/question/29766862

#SPJ3

Full question :

The Tasty Sub Shop Case:

A business entrepreneur uses simple linear regression analysis to predict the yearly revenue for a potential restaurant site on the basis of the number of residents living near the site. The entrepreneur then uses the prediction to assess the profitability of the potential restaurant site.

And

The QHIC Case:

The marketing department at Quality Home Improvement Center (QHIC) uses simple linear regression analysis to predict home upkeep expenditure on the basis of home value. Predictions of home upkeep expenditures are used to help determine which homes should be sent advertising brochures promoting QHIC’s products and services.

Discuss the difference in the type of prediction in both cases and provide rational of the reasons that these predictions were used.

Answer and explanation:

In the first case, The Tasty Sub Shop Case, the entrepreneur aims to utlilize the predicted values from his regression analysis in ascertaining profit of his potential business. He does this using the values from number of residents in the area(independent variables) to predict the revenue for his business(dependent variables). His predictions using the number of residents in the area are largely because the residents in the area are his target consumers and are the ones to buy food from his restaurant and increase his revenue.

In the other case, the marketing department in QHIC utilizes the predicted values in determining their customers who need to be aware of their products. They get the predicted values(home upkeep expenditure and dependent variable) by plotting their relationship with home value(independent variable) and then use predicted values of home upkeep expenditures in determining their customers who they will market their products to. They do this because predicting home upkeep expenditures will enable them determine what homes can afford or will need their products and services.

one utilizes his predictions at ascertaining profit while the other uses his predictions in determining potential customer base to market products to. The first case is making a revenue/ profitability prediction while the other is making a market prediction

Answer:

(3x+4)(2x-5)

Step-by-step explanation:

Factor by grouping.

Answer:

Hey there!

11 meters is about 36 feet tall.

Let me know if this helps :)

Answer:

you answer is :33.8328

Answer:

w + 2

Step-by-step explanation:

Niki's height = w in

Desmond height = w + 2

Answer:

w+2

Step-by-step explanation:

Since Desmonds is 2 inches taller than Niki, w+2 would make the most sense.

Answer:

41 inches

Step-by-step explanation:

Let the point at the top of the door on the left be x

Wx + xH = 45

Let the point at the top of the door  on the right be c

Yc + cZ = 37

We know the door is

xH +  plus the width of the tile

The width of the tile is Yc

xH + Yc

On the right door

cZ +  the height of the tile

cZ + Wx

Add the two doors together

xH + Yc + cZ + Wx = 2 times the height of the door

Rewriting

xH +  Wx +  Yc + cZ = 2 times the height of the door

45+ 37 = 2 times the door height

82 = 2 times the door height

Divide by 2

41 = door height

Answer:

Step-by-step explanation:

sin² Θ csc² Θ =sin² Θ + cos² Θ

sin² Θ 1/sin² Θ = sin² Θ + cos² Θ

1 = sin² Θ + cos ² Θ (this is a trig identity)

Answer:

.75cm³

Step-by-step explanation:

To find the volume of a shape like this it is,

base×height×width.

In this case it is .5×.5×3=.75cm³

Answer:

3/4 or 0.75

Step-by-step explanation:

Length times width times height:

1/2 * 1/2 * 3

= 3/4

Answer:

Kyra=15 points

Liam=20 points

30 points=y=4/3x+5

Step-by-step explanation:

I graphed each equation and point on the graph given

HOPE THIS HELPS!!! :)

PLEASE CORRECT ME IF IM WRONG

Answer:

The answer is

Step-by-step explanation:

From the question difference in the statement means subtraction

So the statement

two times the difference of eight and d is written as

Hope this helps you

Answer:

the answer is 2( 8 - d) I  got the same answer and got it right

Step-by-step explanation: