The base of a box, built from a model, has an area that can be represented by the function B(x) = 4x^2 + 8, where x is the width of the model's base. The height of the box can be represented by the function H(x) = x + 2.

Which function best describes C(x), the capacity of the box?

A. C(x) = 4x^3 + 8x^2 + 8x + 16
B. C(x) = 4x^3 + 16
C. C(x) = 4x^3 + 16x^2 + 16
D. C(x) = 4x^3 + 32x^2 + 2x + 16

This figure shown is NOT a square because a square has all angles are 90º.

It is a rhombus and a parallelogram because they both have a parallel sides(At least 2). NOW GIVE ME BRAINLIEST!!!!

Answer:

Line A

Step-by-step explanation:

Line A is the blue line with the y-intercept of (0,-2) and positive slope of 4.

Answer:

The scale used is 1: 10,000 cm.

Step-by-step explanation:

Given that the length of a pool 2 km long is represented on a map with a length of 20cm, to determine what is the map scale used the following calculation must be performed:

2 km = 2,000 m

1m = 100cm

2,000 x 100 = 200,000

20: 200,000

10: 100,000

1: 10,000

Thus, the scale used is 1: 10,000 cm.

Answer:

10,000

Step-by-step explanation:

Answer:

19 units, left

Step-by-step explanation:

You can use a graphing tool or create a graph to show how these lines relate to one another. Then, count the units that have been translated and where the translation occurred.

Answer:

75.23 is the answer for 77.5-2.27

Answer:

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

A sample of 65 students from the freshmen class is used and a mean score of 76% correct is obtained.

This means that [tex]n = 65, \pi = 0.76[/tex]

99% confidence level

So [tex]\alpha = 0.005[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.005}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 - 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.6236[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 + 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.8964[/tex]

0.6236*100 = 62.36%

0.8964*100 = 89.64%

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

[tex]\tt{}( - 9p + 7) - (9p + 3)[/tex]

[tex]\tt{} - 9p - 7 + 9p + 3[/tex]

[tex]\tt{}7 - 3[/tex]

[tex]\tt{}4[/tex]

Answer:

13, 32.5, 2.5

Step-by-step explanation:

Answer:

The answer is in the photo

Step-by-step explanation:

Answer:

We do not reject the null

Step-by-step explanation:

Given that :

Sample size, n = 41

Test statistic ; Zstatistic ;= 1.53

Critical value ; Zcritical ; = 2.57

The null hypothesis H0 ;

H0: μ1 - μ2 = 0

Alternative hypothesis, H1 ;

H1: μ1 ≠ μ2

Decision region :

Reject Null ; if |Zstatistic ≥ Zcritical|

Zstatistic > Zcritical

Result :

1.53 < 2.57

Zstatistic < Zcritical

Hence, we do not reject the null ; there is no significant evidence that there is difference in the average yield of the two samples.

Answer:

Amount won by Kamran = $21,450

Step-by-step explanation:

This can be calculated using the following 3 steps:

Step 1: Calculation of the amount invested in treasury bonds

Since the limit to the duration of investment is not stated, the amount invested can be calculated using the formula for calculating the present value of a perpetuity as follows:

PV = P / r …………………………………. (1)

Where;

PV = Present value or the amount invested treasury bonds = ?

P = Annual return on his investments = $661.25

r = Annual rate of return = 5%, or 0.05

Substitute the values into equation (1), we have:

PV = $661.25 / 0.05 = $13,225

Step 2: Calculation of the amount deposited in the money market account

From Step 1 above, we have:

Amount invested treasury bonds = $13,225

Since he invests $5000 more in treasury bonds than he deposits in the money market account, the amount deposited in the money market account can be calculated as follows:

Amount deposited in the money market account = Amount invested treasury bonds - $5,000 = $13,225 - $5,000 = $8,225

Step 3: Calculation of the amount won by Kamran

Amount won by Kamran = Amount invested treasury bonds + Amount deposited in the money market account = $13,225 + $8,225 = $21,450

i don't think it exists anymore sorry

Answer:

Whats that and were is it

Step-by-step explanation:

Answer:

0.7457 = 74.57% probability that a child from this population who has inadequate intake is 11 to 13 years old.

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Inadequate intake

Event B: Is 11 to 13 years old.

48% are 11 to 13 years of age.

This means that [tex]P(B) = 0.48[/tex]

For those who are 11 to 13 years of age, 54% have inadequate calcium intake.

This means that [tex]P(A|B) = 0.54[/tex]

Probability of inadequate calcium intake:

0.17 of 0.52(5 to 10 years old)

0.54 of 0.48(11 to 13 years old). So

[tex]P(A) = 0.17*0.52 + 0.54*0.48 = 0.3476[/tex]

Find the probability that a child from this population who has inadequate intake is 11 to 13 years old.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.48*0.54}{0.3476} = 0.7457[/tex]

0.7457 = 74.57% probability that a child from this population who has inadequate intake is 11 to 13 years old.

Answer:

y = -1/3x - 4  (slope-intercept form)

or

x + 3y = -12 (Standard form).

Step-by-step explanation:

The slope of the line = (-3 - (-2)) / (-3 - (-6))

= -1 / 3.

Using the point-slope form of straight line:

y - y1 = m(x - x1) we have:

y - (-2) = -1/3(x - -6))

y + 2 = -1/3(x + 6

y + 2 = -1/3x - 2

y = -1/3x - 4

In standard form (multiplying thru by 3):

3y = -x - 12

x + 3y = -12.

Answer:

70 units³

Step-by-step explanation:

Volume = Area × Height

=10×7

=70

Answer:  (why is it 5 points?) Thats ok.

5 times what X is - 24 meaning whatever X is also by sry i don't make a lot of sense but i'm smart and know the answer. I will change it later after i find out which shouldn't take too long.

Step-by-step explanation:

Thanks, stay safe, have a great life! Byes! Brainliest then i will give answer! ;) :) :P XD :3 (: hehe :)

Answer:

2/11

Step-by-step explanation:

You would have to do 2 times 10 which equals 20. Than 5 times 22 which is  110. No to reduce you have to find the Greatest Common faction which is 10. So 20 divided by 10 equals 2 and 110 divided by 10 is 11.

Answer:

16.08

Step-by-step explanation:

Answer: B

Step-by-step explanation:because my teacher said she having trouble

Answer:

A. 24

Step-by-step explanation:

1. 4 x 5 then 2. 18/3 then 3. - 2

Answer:

A. 24

Step-by-step explanation:

Step-by-step explanation:

i think d x = 12 (0.42)

hope it is helpful to you

Answer       yes

Step-by-step explanation:  

hope this helps

Answer:

Total amount spent = 3X+18 +2X = 5X +18 = Total amount spent

Now if we know the total amount spent we can find the price of each ticket

But that is not given unfortunately

Step-by-step explanation:

hope it helps ( ꈍᴗꈍ)

Answer:

See below.

Step-by-step explanation:

Part a is correct.

The volume of part b is correct.

The volume of a scoop is 268 cm^3.

The volume of the cylindrical cup is 402 cm^3.

Part b)

Question: Does the cup hold the exact volume of the scoop? Explain.

Answer: No. The cup holds 402 cm^3 up to the brim. If you overfill it like the picture shows, it will hold even more than 402 cm^2. A scoop is only 268 cm^3, so a cup holds more than the scoop.

Part c)

volume of cone = (1/3)(pi)r^2h

V = (1/3)(3.14159)(4 cm)^2(8 cm)

V = 134 cm^3

Answer:

Its D

Step-by-step explanation:

Answer:

y=1/4x-3

Step-by-step explanation: