Regina used nuts and fruits to make a snack mix. The graph below shows the quantities used for each serving

What do the points on the graph mean in this context? Select all that apply.

For every 3 cups of fruit, there is 1 cup of nuts.

For every 1 cup of fruit, there are 3 cups of nuts.

For every 2 cups of fruit, there are 6 cups of nuts.

For every 6 cups of fruit, there are 2 cups of nuts.

For every 12 cups of fruit, there are 4 cups of nuts.

Answer:

0

Step-by-step explanation:

Step 1: Define

[tex]\lim_{x \to \infty} e^{x-x^2}[/tex]

Step 2: Substitute in infinity

[tex]\lim_{x \to \infty} e^{\infty-\infty^2}[/tex]

We know that the second exponent is always going to be bigger than the 1st exponent, so we would get a negative exponent.

[tex]\lim_{x \to \infty} e^{-\infty}[/tex]

We can simplify a negative exponent into a fraction.

[tex]\lim_{x \to \infty} \frac{1}{e^{\infty}}[/tex]

We know that if we keep plugging in larger numbers for x, the denominator is going to be infinitely big. And bigger the number we are dividing by, the smaller the entire fraction is going to be.

Therefore, we would be approaching 0.

Answer:

a

Step-by-step explanation:

(0,-3)

-3 x axis form a vertical line

Answer:

c. x=7

Step-by-step explanation:

Answer:

25p+45 < 480

Step-by-step explanation:

Answer:

y = 6/7x -16/7

Step-by-step explanation:

6x - 7y= 16

Subtract 6x from each side

6x-7y-6x = -6x+16

-7y = -6x+16

Divide by -7

-7y/-7 = -6x/-7 + 16/-7

y = 6/7x -16/7

6x - 7y = 16

Subtract 6x from both sides.

-7y = -6x + 16

Divide both sides by -7

y = 6/7x - 16/7

Answer:

C

Step-by-step explanation:

Step 1: Translate word to math

"Five" = 5

"times" means multiplication

"a number" = n

"plus" means addition

"3" = 3

"is" means equal

"12" = 12

Step 2: Set up equation (combine)

5n + 3 = 12

Answer:

C

Step-by-step explanation:

a number represents n

is represents =

times represents multiplication

plus represents addition

5 times n plus 3 is 12

so this means

5n+3=12

Answer: 15 dollars

Step-by-step explanation:

0.3 * 50

Answer:

So first you must understand what your function represents the 2 is your (slope of the line) the +4 is the y intercept.

So you need to plot a point at (0,4) and then you need to use the slope to go up 2 units over 1 unit. And you need to use the negative of the slope to the left of the point you plotted on the y - int so you need to go down 2 units and left 1.

Hope you understood if you didn't drop a comment and I will try to reply.

Answer and Step-by-step explanation:

Given:

Charges includes 10 hour per month = $50

Charges for additional hour = $9

Piecewise definition of cost F(x) for a month in which a member use a car for  hours.

Find limits?

Find lim x--->10 F(x), lim x--->10F(x), and lim x--->10F(x), which- ever exist.

Lim x → 10- F(x) = 50$

Lim x → 10 [ 9x – 70] = 9( 10) – 70  

                                = 90 – 70

                                = 20 > 10

Limit does not exist.

Lim x → 10+ F(x) = 50$

Lim x → 10+  F(x) = Lim x → 10+   [90x – 70]

                         = 90 – 70

                          = 20 > 10

Limit does not exist.

Lim x → 10 F(x) = 50$

An integer or an decimal.

The limit does not exist.

The piece wise definition of the cost [tex]f(x)[/tex] for a month in which a member uses a car for [tex]x[/tex] hours is given by the equation,[tex]f(x)= 50+9(x-10)[/tex].

Given,

Membership plan is [tex]\$50[/tex] per month.

We have to write a piece wise definition of the cost [tex]f(x)[/tex] for a month in which a member uses a car for [tex]x[/tex] hours.

Here, [tex]\$[/tex][tex]$50[/tex] per month fees includes 10 hours of driving each month, so the cost for a month is given as,

[tex]f(x)= 50+9(x-10)[/tex]

Here [tex]x[/tex] is the no. of additional hours for the month.

Further,

[tex]f(x)= 9x-40[/tex].

Now at,

[tex]lim _{x \to 10^+}f(x) = 9\times 10-40\\[/tex]

Or,

[tex]f(x)= 90-40\\f(x)=50[/tex]

Similarly, at left limit,

[tex]lim _{x \to 10^-}f(x) = 9\times (-10)-40[/tex]

Or,

[tex]f(x)=-90-40[/tex]

[tex]f(x)=-130[/tex]

Finally at [tex]x=10[/tex], [tex]f(x)=9\times10-40[/tex]

[tex]f(x)=90-40\\f(x)=50[/tex]

Since [tex]lim{x \to}10^+[/tex] [tex]\neq limx\to 10^-\neq f(x) (at x= 10)[/tex]

So the required function [tex]f(x)[/tex] is discontinuous at [tex]x=10[/tex]

Hence the piece wise definition of the cost [tex]f(x)[/tex] for a month in which a member uses a car for [tex]x[/tex] hours is given by the equation,[tex]f(x)= 50+9(x-10)[/tex].

For more details on limit follow the link below:

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Answer:

0 ≤ an ≤ bn

The series ∑₁°° bn converges

The series ∑₁°° an converges by comparison to ∑₁°° bn.

0 ≤ an ≤ bn

The series ∑₁°° bn diverges

The comparison test is inconclusive for our choice of bn.

Step-by-step explanation:

an = 1 / (n² + n + 3) and bn = 1 / n²

The numerators are the same, and the denominator of an is greater than the denominator of bn.  So 0 ≤ an ≤ bn.

bn is a p series with p > 1, so it converges.

Since the larger function converges, the smaller function also converges.

an = (3n − 1) / (6n² + 2n + 1) and bn = 1 / (2n)

If we rewrite bn as bn = (3n − 1) / (6n² − 2n), we can tell that when the numerators are equal, the denominator of an is greater than the denominator of bn.  So 0 ≤ an ≤ bn.

bn is a p series with p = 1, so it diverges.

The larger function diverges.  We cannot conclude whether the smaller function converges or diverges.

Answer:

okay now i get it its not easy at first but look at it for a bit and yoll get it

Answer:

44.52

Step-by-step explanation

Answer:

$12.50 per hour

Step-by-step explanation:

Step-by-step explanation:

a. true

property: identity

b. false

property: communitive

c. true

associative

d. false

property: multiplication property of zero

Answer:

y = -3x - 8

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

slope m = -3

y-intercept = -8

Step 2: Plug into equation

y = -3x - 8

Answer:

the transformation T(a, b) can be change the pre image to the final image by following the rule as we explain below

if A(x, y) is a pre image, then A ' ( x', y') is its image, and x' = a+x, y' = b + y, where because of T(a, b) transformation

in our case Quadrilateral GHJK has vertices G(2, 3), so the coordinates of G”

can be found with

T(-4, -5) applied to G(2, 3) ⇒ G' (-4 +2, -5+3)=G' (-2, -2)

T(-4, -5) applied to G' (-2, -2) ⇒ G"(-4-2, -5-2) =G"(-6, -7)

the coordinates of G” are (-6, -7)

Step-by-step explanation:

Answer:

its c on edg (-1, -7)

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

trust and dont vote me out! its not me i sware its cyan he sus!

Answer:

It's C

Step-by-step explanation:

Answer:

B)

Step-by-step explanation:

They are intersected to make a same side interior angle.

Answer:

A) alternate interior angles are always congruent.

Answer:

i think it is between 22 and 35

Step-by-step explanation:

Answer:

This means that if you have that amount of those and you do whatever the rest of the question is.

Step-by-step explanation:

Answer:

120 different ways

Step-by-step explanation:

So Fundamental Counting Principle helps understand probability. So for this question, they are asking how many different ways there are.

To do that, we have to split into sets.

Set A: 4 Theme Parks

Set B: 6 Passes

Set C: 5 Food Options

Now we have to multiply the sets.

4 x 6 x 5 = 120

Therefore, the answer is 120 different ways.

Answer:

He computes the mean as $1,022.

Step-by-step explanation:

Answer:

78936000 possible selections

Step-by-step explanation:

Given

Letters = 5

Digits = 1

Required

Possible number of selection.

Since the letters can't be repeated and there are 26 alphabets.

The first letter can be any of 26

The second = 25

The third = 24

The fourth = 23

The fifth = 22

The digit can be any of 0 - 9 (10 digits).

So.

The possible number of selection is.

Number = 26 * 25 * 24 * 23 * 22 * 10

Number = 78936000

Answer:

3.99

Step-by-step explanation:

2.19x2=3.99

20.34-4.39=15.96

15.96 divided by 4 =3.99

Answer:

Step-by-step explanation:

Answer:

B C A

Step-by-step explanation:

A rate of change tells us how one quantity changes in relation to another quantity.

The annual rate of change in the number of students in the band is 5.

A rate of change is a rate that tells us how one quantity changes in relation to another quantity.

We have,

Number of students in the band in 2012 = 275

Number of students in the band in 2018 = 305

The rate of change in the number of students in the band:

= 305 - 275 / 2018 - 2012

= 30 / 6

= 5

Thus the annual rate of change in the number of students in the band is 5.

Learn more about the rate of change here:

https://brainly.com/question/12786410

#SPJ2

Answer:

about 130 marbles

Step-by-step explanation:

round 47 to 50

round 76 to 80

you have about 130 marbles

Answer:

About 100.

Step-by-step explanation:

47+76=123

123 is closer to 100 than to 200.

Answer:

Question 1  

The test statistics is  [tex]t = 0.44[/tex]

The decision rule is

 Fail to reject the null hypothesis

The conclusion

There is no  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels

Question 2

The degree of freedom is  [tex]df = 92 [/tex]

The decision rule is

Reject the null hypothesis  

The conclusion

There is  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels

Explanation:

Considering Question 1

Here we are told to provide the test statistics

From the question we are told that

  The first sample size is  [tex]n_1 = 31[/tex]

  The second  sample size is  [tex]n_ 2 =  46[/tex]

   The first sample mean is  [tex]\= x_1 = 525 \ minutes[/tex]

    The first standard deviation is  [tex]\sigma_1 =  47.7[/tex]

    The second sample mean is  [tex]\= x_2 = 520 \ minutes[/tex]

   The second standard deviation is  [tex]\sigma_2 =  48.2[/tex]

The null hypothesis  is  [tex]H_o :  \mu_1 - \mu_2 = 0[/tex]

The alternative hypothesis is  [tex]H_a :  \mu_1 - \mu_2 \ne 0[/tex]

Generally the degree of freedom is mathematically represented as

      [tex]df = n_1 + n_2  -2[/tex]

=>    [tex]df = 31 + 46  -2[/tex]

=>    [tex]df = 75 [/tex]

Generally the test statistics is mathematically represented as

 [tex]t =  \frac{(\= x_1 - \= x_2 )-0}{ \sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} } }[/tex]

=> [tex]t =  \frac{( 525-  520 )-0}{ \sqrt{\frac{47.7^2}{31} + \frac{48.2^2}{46} } }[/tex]

=> [tex]t = 0.44[/tex]

Let assume that the level of confidence is  [tex]\alpha = 0.05[/tex]

Generally the probability of t at a degree of freedom of  is  [tex]df = 75[/tex]

    [tex]P(t > 0.44 ) = 0.33060124 [/tex]

Generally the p-value is mathematically represented as

   [tex]p-value  =  2 *  P(t > 2.398)[/tex]

=>   [tex]p-value  =   2 * 0.33060124[/tex]

=>   [tex]p-value  =  0.66120[/tex]      

From the value obtain we see that [tex]p-value  >  \alpha[/tex] hence we fail to reject the null hypothesis

The conclusion is that there is no  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels

Considering Question 2

Here we are told to provide the degree of freedom

From the question we are told

    The first sample size is  [tex]n_1 = 39[/tex]

     The first sample mean is  [tex]\= x_1 = 582 \ minutes[/tex]

     The first standard deviation is  [tex]\sigma_2 =  63.8[/tex]

     The second sample size is  [tex]n_ 2 =  55[/tex]

     The second sample mean is  [tex]\= x_2 = 542 \ minutes[/tex]

     The second standard deviation is  [tex]\sigma_2 =  97.8 [/tex]

The null hypothesis  is  [tex]H_o :  \mu_1 - \mu_2 = 0[/tex]

The alternative hypothesis is  [tex]H_a :  \mu_1 - \mu_2 \ne 0[/tex]

Generally the degree of freedom is mathematically represented as

      [tex]df = n_1 + n_2  -2[/tex]

=>    [tex]df = 39 + 55  -2[/tex]

=>    [tex]df = 92 [/tex]

Generally the test statistics is mathematically represented as

 [tex]t =  \frac{(\= x_1 - \= x_2 )-0}{ \sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} } }[/tex]

=> [tex]t =  \frac{( 582 -  542 )-0}{ \sqrt{\frac{63.8^2}{39} + \frac{97.8^2}{55} } }[/tex]      

=>  [tex]t = 2.398[/tex]

Let assume that the level of confidence is  [tex]\alpha = 0.05[/tex]

Generally the probability of t at a degree of freedom of  is  [tex]df = 92 [/tex]

    [tex]P(t > 2.398 ) = 0.00925214[/tex]

Generally the p-value is mathematically represented as

   [tex]p-value  =  2 *  P(t > 2.398)[/tex]

=>   [tex]p-value  =   2 * 0.00925214[/tex]

=>   [tex]p-value  =  0.0185[/tex]      

From the value obtain we see that [tex]p-value  <  \alpha[/tex] hence we reject the null hypothesis

The conclusion is that there is  sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels