A wooden box has the shape of a rectangular prism. The inside of the box is also a rectangular prism. What is the volume of the solid part of the box? Enter your answer below.

Answer:

Step-by-step explanation:

6

Answer:

11 Doesn't belong because there are a 3 and 33, 6 and 66, but no 1 before 11.

Answer:

18 inches

Step-by-step explanation:

54*1/3=18(inches)

Answer:

a,d,e

Step-by-step explanation:

In this question, we apply limit concepts to get the desired limit, finding that the correct options are: A, D and E, leading to the result of the limit being [tex]\frac{1}{6}[/tex].

Limit:

The limit given is:

[tex]\lim_{x \rightarrow 7} \frac{\sqrt{x+2}-3}{x-7}[/tex]

If we apply the usual thing, of just replacing x by 7, the denominator will be 0, so this is not possible.

When we have a term with roots, we rationalize it, multiplying both the denominator and the denominator by the conjugate.

Multiplication by the conjugate:

The term with the root is:

[tex]\sqrt{x+2} - 3[/tex]

It's conjugate is:

[tex]\sqrt{x+2}+3[/tex]

Multiplying numerator and denominator by the conjugate, meaning option A is correct:

[tex]\lim_{x \rightarrow 7} \frac{\sqrt{x+2}-3}{x-7} \times \frac{\sqrt{x+2}+3}{\sqrt{x+2}+3}[/tex]

We do this because at the numerator we can apply:

[tex](a+b)(a-b) = a^2 - b^2[/tex]

Thus

[tex]\lim_{x \rightarrow 7} \frac{\sqrt{x+2}-3}{x-7} \times \frac{\sqrt{x+2}+3}{\sqrt{x+2}+3} = \lim_{x \rightarrow 7} \frac{(\sqrt{x+2})^2 - 3^2}{(x-7)(\sqrt{x+2}+3)} = \lim_{x \rightarrow 7}\frac{x+2-9}{(x-7)(\sqrt{x+2}+3)} = \lim_{x \rightarrow 7}\frac{x-7}{(x-7)(\sqrt{x+2}+3)}[/tex]

Thus, we can simplify the factors of x - 7, meaning that option D is correct, and we get:

[tex]\lim_{x \rightarrow 7} \frac{1}{\sqrt{x+2}+3}[/tex]

Now, we just calculate the limit:

[tex]\lim_{x \rightarrow 7} \frac{1}{\sqrt{x+2}+3} = \frac{1}{\sqrt{7+2}+3} = \frac{1}{3+3} = \frac{1}{6}[/tex]

Thus, option E is also correct.

Using a limit calculator, as given by the image below, we have that 1/6 is the correct answer.

For more on limits, you can check https://brainly.com/question/12207599

Answer:

Hello your question is incomplete attached below is the complete question

1)  It is a claimed parameter ( A )

2) B

Step-by-step explanation:

1)  It is a claimed parameter and this is because it represents a proportion of the population

2) The null and alternate hypothesis is

    H0: p = 0.38

    HA: p < 0.38

Answer:

18x+15

Step-by-step explanation:

This is basically asking you to simplify the expression.

5(4x+3)-2x

Distribute the 5

20x+15-2x

Combine like terms (x values)

18x+15

Answer:

12

Step-by-step explanation:

Answer:

a = 6

Step-by-step explanation:

Given:

[tex]-8 + \sqrt{5a-5} = -3[/tex]

Assuming that the goal is to solve for a, we should aim to isolate a using a backwards process.

First step: add 8 to both sides, resulting in:

[tex]\sqrt{5a-5} = 5[/tex]

Second step: Next we need to square both sides, getting us:

[tex]5a - 5 = 25[/tex]

Third step: We now can add 5 to get an isolated monomial:

[tex]5a = 30[/tex]

Fourth Step: Finally, divide by 5 to get:

[tex]a = 6[/tex]

Answer:

Okay

Step-by-step explanation:

I'll see if I know the answer

Answer:

i think its b but I'm not exactly sure i have to check again

Step-by-step explanation:

Answer:

[tex]\sqrt{-25} = 5i[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{-25[/tex]

Required

An equivalent

We have:

[tex]\sqrt{-25[/tex]

Express -25 as -1 * 25

[tex]\sqrt{-25} = \sqrt{-1 * 25}[/tex]

Split

[tex]\sqrt{-25} = \sqrt{-1} * \sqrt{25}[/tex]

[tex]\sqrt{25} = 5[/tex], so:

[tex]\sqrt{-25} = \sqrt{-1} * 5[/tex]

[tex]\sqrt{-1} = i[/tex] --- complex numbers

So:

[tex]\sqrt{-25} = i * 5[/tex]

[tex]\sqrt{-25} = 5i[/tex]

Hence, the equivalent is (D)

Answer:

uh idek

Step-by-step explanation:

Answer:

1) 20.2

2) 13

3) 10.3

4) 103

Step-by-step explanation:

If you need help solving these on your own next time, here's the formula

a^2+b^2= c^2, or A to the power of two, plus B to the power of two, = C to the power of 2.

To solve them square both A and B, (ex. 9.2 to the power of two, plus 18 to the power of two, which equals 408.64.)

Then, to solve for x, (or c, doesn't matter the variable,) you square root the number.

(ex. √408.64, which is 20.2)

Answer:

x=70

Step-by-step explanation:

To solve this problem, you set up the equation 45+(2x-5)=180

Next, subtract 45 from 180 to get the equation 2x-5=135

After that, add 5 to 135 to get 2x=140

Divide 140 by 2 to get X=70

The plane was flying long so it's true!

Answer:

Total amount pay after 3 week = $147.5

Step-by-step explanation:

Given:

Amount of loan taken = $125

Amount interest per $100 = $6 per week

Find:

Total amount pay after 3 week

Computation:

Amount of interest per week = 125[6/100]

Amount of interest per week = $7.5 per week

Amount of interest in three week = 3 x Amount of interest per week

Amount of interest in three week = 3 x 7.5

Amount of interest in three week = $22.5

Total amount pay after 3 week = Amount of loan taken + Amount of interest in three week

Total amount pay after 3 week = 125 + 22.5

Total amount pay after 3 week = $147.5

Most of the numbers are in the 50’s and 60’s so the outlier would be 98

Answer:

x>8 should be correct!

Step-by-step explanation:

56/7 = 8

the answer is 24 water pour into the vase

Answer:

3$

Step-by-step explanation:

To find percentage on a discount like this all you have to do is multiply the pre-discount number by your discount percentage.

So all you have to do is:

15 x 0.20

which gives you an answer of 3.

Thus the post-discount amount is $3.

Answer:

B

Step-by-step explanation:

Anything to the 0 power is 1

Answer:

16

Step-by-step explanation:

Answer:

16 feet is the length.

Step-by-step explanation:

The area of a rectangle is A = L x W

If we know the area then:

208 = L x 13

208/13 = L

L= 16 feet

Answer:

Don't click the site its a scam and will give your phone a virus

Answer:A

Step-by-step explanation:

The approximate rate of change of this function on the interval [-2, 2] is Option A; -9/8.

Suppose that we have to measure the rate of change of y as x changes, then we have:

[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

where we have

[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]

Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

The interval given as:  -2 ≤ x ≤ 2

Let (x_1,y_1) = (-2, 2)  and  (x_2,y_2) = (2, -2.5)

The rate of change

[tex]\dfrac{y_2-y_1}{x_2-x_1}\\\\\\=\dfrac{-2.5-2}{2+2} \\\\=\dfrac{-4.5}{4}\\\\=-\dfrac{9}{8}[/tex]

Therefore, the approximate rate of change of this function on the interval [-2, 2] is Option A; -9/8.

Learn more about rate of change here:

https://brainly.com/question/19167959

#SPJ2

Answer:

A

Step-by-step explanation:

Given

P(t) = 60 [tex](3)^{\frac{t}{2} }[/tex]

Then

P(1) = 60 × [tex]3^{\frac{1}{2} }[/tex] = 60[tex]\sqrt{3}[/tex]

P(2) = 60 × 3 = 180

P(3) = 60 × [tex]3^{\frac{3}{2} }[/tex] = 60 ×[tex]\sqrt{3^{3} }[/tex] = 60 × 3[tex]\sqrt{3}[/tex] = 180[tex]\sqrt{3}[/tex]

P(4) = 60 × 3² = 60 × 9 = 540

P(5) = 60 × [tex]3^{\frac{5}{2} }[/tex] = 60 × [tex]\sqrt{3^{5} }[/tex] = 60 × 9[tex]\sqrt{3}[/tex] = 540[tex]\sqrt{3}[/tex]

P(6) = 60 × 3³ = 60 × 27 = 1620

From these 6 results we see that

P(3) = 3 × P(1)

P(4) = 3 × P(2)

P(5) = 3 × P(3)

P(6) = 3 × P(4)

The predicted number of organisms triples every 2 days → A

Answer:

[tex]a_{20} = 1/1048576[/tex]

Step-by-step explanation:

Given

[tex]Sequence: -1/2;1/4;-1/8;1/16[/tex]

Required

Determine [tex]a_{20[/tex]

Since it is a geometric sequence, first we need to calculate the common ratio (r)

[tex]r = \frac{a_2}{a_1}[/tex]

From the sequence:

[tex]a_2 = 1/4[/tex]

[tex]a_1 = -1/2[/tex]

[tex]a_1[/tex] is the same as [tex]a[/tex]

So:

[tex]r = \frac{a_2}{a_1}[/tex]

[tex]r = \frac{1/4}{-1/2}[/tex]

[tex]r = -1/2[/tex]

[tex]a_{20[/tex] is then calculated as:

[tex]a_n = ar^{n-1}[/tex]

Where

[tex]n = 20[/tex]

[tex]a_{20} = ar^{20-1}[/tex]

[tex]a_{20} = ar^{19}[/tex]

[tex]a_{20} = (-1/2) * (-1/2)^{19}[/tex]

Apply law of indices

[tex]a_{20} = (-1/2)^{1+19}[/tex]

[tex]a_{20} = (-1/2)^{20}[/tex]

Evaluate the exponent

[tex]a_{20} = 1/1048576[/tex]

Answer:

The null hypothesis is: [tex]H_{0}: \mu = 100[/tex]

The alternative hypothesis is: [tex]H_{a}: \mu > 100[/tex]

Step-by-step explanation:

At the null hypothesis, we test if the mean is equal to a certain value.

At the alternate hypothesis, we test if the mean is less than, more than, or different from the value tested at the null hypothesis.

The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of 20 lb.

This means that the null hypothesis is: [tex]H_{0}: \mu = 100[/tex]

Could it be that the average tuft strength is above 100 lb?

The world above means that the appropriate alternative hypothesis is: [tex]H_{a}: \mu > 100[/tex]

Answer:

76+2x=90

2x=90-76

2x=14

x=14/2

x=7

Answer:

6

i think the - was meant to be an = instead of -

Step-by-step explanation:

rate of change is the same as slope

that is slope-intercept form.

y=mx+b

m is slope

slope= 6

Answer:

The rate of change is 6

Step-by-step explanation:

Set the equation equal to 0:

y-6x+3=0

Now solve for y because we want the equation in y=mx+b form where m is the rate

Subtract 3:

y-6x=-3

add 6x

y=6x-3

Now in y=mx+b form

m would equal 6