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Given:

The dimensions of the box are (w+5) inches, (w+4) inches, (2w) inches.

To find:

The expression that describes the volume of the box.

Solution:

We know that the volume of a rectangular prism is:

[tex]V=length\times breadth \times height[/tex]

Substituting the given values, we get

[tex]V=(w+5)\times (w+4) \times 2w[/tex]

[tex]V=(w^2+5w+4w+20)2w[/tex]

[tex]V=(w^2+9w+20)2w[/tex]

Using distribution property, we get

[tex]V=(w^2)2w+(9w)2w+(20)2w[/tex]

[tex]V=2w^3+18w^2+40w[/tex]

Therefore, the volume of the box is [tex]2w^3+18w^2+40w[/tex] cubic inches.

Note: All the options are incorrect.

Answer:

[tex]x=12.07[/tex]

Step-by-step explanation:

From the question we are told that:

Mean [tex]\=x =12cm[/tex]

Standard deviation [tex]\sigma=0.04[/tex]

Significance level [tex]\alpha=5\%=0.05[/tex]

Therefore

Confidence level [tex]95\%=0.95[/tex]

From table [tex]P(z<1.645)=0.95[/tex]

Generally the equation for Z-score is mathematically given by

[tex]z=\frac{x-\mu}{\sigma}[/tex]

[tex]x=z\sigma+\mu[/tex]

[tex]x=1.645*0.04+12[/tex]

[tex]x=12.07[/tex]

Answer:

307°

Step-by-step explanation:

CF is a diameter of the circle. so, any arc connecting C and F has an arc angle of 180° (half-circle).

so, we need to add the arc angle FD.

we know the arc angle ED = 79°.

so, what is left to add is the arc angle FE.

the arc angle FE is the same as BC.

and the arc angle BC is the supplementary angle (means together they have 180°) to 132° :

BC = 180 - 132 = 48°

therefore,

the arc angle CFD = 180 + 48 + 79 = 307°

Answer:

B

Step-by-step explanation:

To find the answer, translate each point and then use the process of elimination.

For the first point, the coordinates are (-4, -2). The -4 is x and the -2 is y. Translations up and down relate to the y value, while translations left and right relate to x. To translate up 4 units, add 4 to the y value of the coordinate. -2 + 4 is 2, so the y coordinate of the first point will be 2. That eliminated A and D.

For the second point, translate up 4 units (-5 + 4) and you get -1. So the y value of the second point will be -1. In option C, it is positive 1. So that leaves only B.

Answer:

78

Step-by-step explanation:

when there is a five car diffrence its possible

Answer:

[tex]\\(x- -1)^{2} + (y- -1)^{2} = 13[/tex]

so, -1, -1 and 13

Answer:

Step-by-step explanation:

A hypotenuse is calculated on a triangle with a right angle. The hypotenuse is the side opposite the sides with the right angle. The equation is a^2 + b^2=c^2 where the hypotenuse is the square root of c.

Answer:

54678 years

Step-by-step explanation:

Answer:

x = 3 + 2p        (2p is 2 times p)

Answer:

Step-by-step explanation:

She will need 6 yards. the permiter is 16 which 5 wouldnt be enough

Step-by-step explanation:

1. E

2. G

3. I

4. J

5. H

6. F

7. A

8. D

9. B

10. C

Answer:

V=lwh /3

Step-by-step explanation:

Answer:

A.) 1 and 5

B.) -3

C.) [-1, 6]

D.) [-3, 2]

I don't know what E is

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The formula for the Pythagorean's Theorem is a^2 + b^2 = c^2, so first you know that hypotenuse is the longest side or the opposite side from which the right angle is which in this case is the 6 so you are looking for a leg rather then the hypotenuse which means we are going to be doing subtraction.

a^2 + b^2 = c^2

√27^2 - b^2 = 6^2

27 - b^2 = 36

-27            -27

         b^2 = 9

         b^2 = √9

Answer:

The second one

2(1/x) + 2(1/3x) = 1

Step-by-step explanation:

1/x + 1/(3x) = 1/2

multiply both sides by 2

2(1/x) + 2(1/(3x) = 1

Answer:

there is no profit there is loss because CP is greater than SP

Step-by-step explanation:

loss=CP-SP

=Rs480-Rs420

=Rs60

loss%=loss/cp*100%

=60/480*100%

=6000/480

=12.5%

Answer:

The 90% confidence interval for the difference of the population means is approximately (-17.98, -2.02).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Boys:

Mean of 75, sample of 45, standard deviation of 25.

This means that [tex]\mu_B = 75, s_B = \frac{25}{\sqrt{45}}[/tex]

Girls:

Mean of 85, sample of 30, standard deviation of 17.

This means that [tex]\mu_G = 85, s_G = \frac{17}{\sqrt{30}}[/tex]

Distribution of the difference of mean grades of boys and girls:

[tex]\mu = \mu_B - \mu_G = 75 - 85 = -10[/tex]

[tex]s = \sqrt{s_B^2+s_G^2} = \sqrt{(\frac{25}{\sqrt{45}})^2+(\frac{17}{\sqrt{30}})^2} = 4.85[/tex]

Confidence interval:

As stated, the critical value is [tex]z = 1.645[/tex]

The margin of error is of:

[tex]M = zs = 1.645*4.85 = 7.98[/tex]

Lower bound:

[tex]\mu - M = -10 - 7.98 = -17.98[/tex]

Upper bound:

[tex]\mu + M = -10 + 7.98 = -2.02[/tex]

The 90% confidence interval for the difference of the population means is approximately (-17.98, -2.02).

Answer:

Step-by-step explanation:

take 49 degree as reference angle

using cos rule

cos 49=adjacent/hypotenuse

0.65=x/16

16*0.65=x

10.4=x

Answer:

Length of AD = 10.47 meter (Approx.)

Step-by-step explanation:

Given:

Triangle ACB is a right angle triangle

Length of AC = 14.8 m

Length of CB = 5.5 m

Length of CD = 6.4 m

Find:

Length of AD

Computation:

Using Pythagorean theorem

Base = √Hypoteneus² - Perpendicular²

Length of AB = √14.8² - 5.5²

Length of AB = 13.74 m

Length of DB = √6.4² - 5.5²

Length of DB = 3.27

Length of AD = Length of AB - Length of DB

Length of AD = 13.74 - 3.27

Length of AD = 10.47

Length of AD = 10.47 meter (Approx.)

Answer:

tanx=b/c

sinx=b/a

cosx=c/a

Step-by-step explanation:

Answer:

REVENGE

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

A standard dice has 6 numbers. Convert it as a fraction, and you get 1/6 per probability of a number.

Answer:

15.25 km =15,250 m

so Jada ran further

Answer:

Jada ran farther

Step-by-step explanation:

First, convert 8,500 to kilometers.

8,500 ÷ 1,000 = 8.5

15.25 > 8.5

Have a wonderful day!

Answer: B,C E put as brainliest

Step-by-step explanation:

Answer:

(-4,-4)

YW :))

Or you could of just looked it up cause thats what I did!!

Answer:

B

Step-by-step explanation:

The formula for the area of a triangle is given as:

A = ½*base*height

A = ½*b*h

A = (bh)2

If we know the area (A) and the base, to find the height, the following would be done:

Divide both sides by b

A/b = h/2

Multiply both sides by 2

[tex] \frac{A}{b} * 2 = h [/tex]

As we can see here, to find the base, we would divide the area by the vase, then multiply what we get by 2.

Answer:

There's 3 questions which one do I answer?

Step-by-step explanation:

Answer: 3 miles.

Step-by-step explanation:

Since we are given the information that Ms. Wilson walked ¾miles each day. To calculate the total distance that Ms. Wilson will walk for 4 days, we have to multiply the distance walked each day by 4.

This will be:

= ¾miles × 4

= 3 miles

Therefore, Wilson walked a distance of 3 miles for the 4 days.

Answer:

A is the most likely answer

Step-by-step explanation:

but how is this a math question?