A 3x33 cube is built out of twenty-seven 1x1x1 blocks. Then,
seven ixi blocks are removed. Specifically, the center block
from each of the six faces of the cube is removed and the center
block of the cube is removed. What is the total surface area of
the modified cube?

Answer:

1. Find the common denominator.

2. Multiply everything by the common denominator.

3. Simplify.

4. Check the answer(s) to make sure there isn't an extraneous solution.

Step-by-step explanation:

Hope this helps!

The steps for solving rational equations will be to take common factors and simplify the equation.

A rational equation, abbreviated as P(x) / Q(x), is one that has at least a single fraction with polynomials as the numerator and denominator. Q(x) / P(x). These integers might be on either end of the equation or sometimes both.

The steps are given below.

The steps for solving rational equations will be to take common factors and simplify the equation.

More about the steps for solving rational equations link is given below.

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Answer:

2). 79°; 3). 65°; 4). 45°; 5) 73°

Step-by-step explanation:

m∠4 = 180° - (70° + 65°) = 45°

m∠3 = 180° - (45° + 70°) = 65°

m∠2 + m∠3 = 180° - 36° = 144°

m∠2 = 144° - 65° = 79°

m∠5 = 118° - m∠4 = 118° - 45° = 73°

Answer:

Sorry I cant help

Step-by-step explanation:

Answer: Three-8 ounce containers

Step-by-step explanation: 3 x 1.29 divided by 0.6= $6.45 for three 8-ounce containers

4 x 3.77 divided by 0.6= $15.08

-3a-4(a-6)=24-7a

-3a-4a+24=24-7a

-7a+24=24-7a

-7a+24=-7a+24

-7a+24-24=-7a+24-24

Simplify

Subtract the numbers

Subtract the numbers

−7a=-7a

Add 7a to both sides of the equation

-7a+7a =-7a+7a

Simplify

Combine like terms

Combine like terms

0=0

answer is 0=0

Answer:

First multiply each brackets

90-60

30

Step-by-step explanation:

Answer:

9 x 3= 27 and 30 + 30=  60.. so 60- 27= 33, but if you want to do 27- 30.. it would be -33.

Step-by-step explanation:

Hope that answers your question!

Answer:

Step-by-step explanation:

Step-by-step explanation:

1.

the null hypothesis:

H0: u = 8 hours ( new Yorkers sleep for 8 hours)

The alternate hypothesis;

H1: u ≠ 8 hours ( new Yorkers sleep less than 8 hours)

b.

test statistic

t = (barX - u)/s/√n

= 7.73-8/0.77/√25

= -1.7532

degree of freedom = n-1

= 25-1 = 24

c.

p(value)

= p(t < -1.7532)

= 0.046

obviously we can see that the p value is less than 0.05 alpha level so we reject the null hypothesis.

d

The data gives strong evidence that new Yorkers sleep less than 8 hours on average every night.

e.

at 90% level of confidence

we have

7.73-0.26334, 7.73+0.26334

= 7.466, 7.993

please check attachment

thank you!

Answer:

= 59 - (59*0.07)

= 59 - 4.13

= 54.87

Answer:

The result would be 54.87

Answer:

5: c=65  d=125  e=60

6: c= 58 d= 121 e=63

7. a=55 b=64 c=61

8. a=61 b=55 c=64

Step-by-step explanation: :)

Answer:

5

Step-by-step explanation:

12 x - 3y / 4 x - Z

=12×3-3×1/3÷4×3-5

=36-1/12-5

=35/7

=5

So the final answer is 5.

Answer:

Option C: 0.7734

Step-by-step explanation:

From z-distribution table attached,

P(Z ≤ -0.75) = 0.2266

However, we are looking for proportion of observations from a standard Normal distribution that take values larger than -0.75.

Thus;

P(Z > -0.75) = P(Z ≤ 0.75) = 1 - 0.2266

P(Z > -0.75) = 0.7734

Option C is the correct answer.

Complete Question

What is the probability that a normal random variable will take a value that is less than 1.05 standard deviations above its mean? In other words, what is P(Z < 1.05)

A 0.8531

B 0.1468

C 0.9332

D 0.0668

Answer:

The correct option is  A

Step-by-step explanation:

Generally from the z table  the area under the normal curve to the left corresponding to  1.05 is

     [tex]P(Z < 1.05) = 0.8531[/tex]

Answer:

I dont know im in middle school can you please giva me one i have to get my grades up

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

3

5

(1)

4

(25)

=

3

5

4

(25)

=

3

20

(25)

=

15

4

Answer:

A 2.2

Step-by-step explanation:

Answer:

slope= -1

y-intercept is 6

Step-by-step explanation:

slope = y2-y1/ x2-x1

slope = 6-8/ 0-(-2) = -1

y-intercept is 6 because of (0,6), where the points cross y-axis

Answer:

the answer is b

Step-by-step explanation:

Answer:

[tex](fog)(x)=6x+18[/tex]

Step-by-step explanation:

We are given:

f(x)=6x

and g(x)=x+3

We need to find (fog)(x)

(fog)(x) =f(g(x)) i.e we will put value of g(x) into f(x) i.e

[tex](fog)(x)=f(g(x))\\f(g(x))=6(x+3)\\f(g(x))=6x+18[/tex]

So, [tex](fog)(x)=6x+18[/tex]

Answer: This is a system of equations, let's set it up.  I set the variable for 1 story houses to x and 2 story houses to y.  Here are the two equations:

6x + 2y = 72

5x + 7y = 124.

Now we multiply the equations so that when we add them together one of the variables will be cancelled out.  I am going to multiply the top equation by 7 and the bottom equation by -2.  This gives us

42x + 14y = 504

-10x -14y = -248

Add the two equations together:

32x = 256

Divide by 32 to get x = 8.  The one story houses have 8 doors.  We can plug this number into one of the original equations and solve for y now.  I'm going to use the first equation.

(6*8) + 2y = 72  

Now we solve for y

y = 12  So, the 1 story houses have 8 doors and the 2 story houses have 12 doors.

Answer: You should plant another 25 watermelons.

Step-by-step explanation:

The total number of watermelons can be calculated as:

W = (20 + x)*(30 - x)

x is the number of plants that we add, for each plant that we add, the output per watermelon plants drops by one watermelon, then if we add x plants, each plant will give (30 - x) watermelons.

We want to maximize this equation, so let's distribute the product.

W = 600 + 30*x + 20*x - x^2

W = 600 + 50*x - x^2

Notice that this is a quadratic equation with a negative leading coefficient, this means that the maximum is at the vertex, and the arms of the equation will open down.

To find the maximum, we can just derive with respect to x, and find the value of x that makes that equal to zero, this is:

W'(x) = dW/dx = 50  - 2*x

W'(x) = 0 = 50 - 2*x

           2*x = 50

          x = 50/2 = 25.

Then the maximum output will be if you plant 25 more watermelon plants.

And this will be:

W(25) = 600 + 50*25 - 25^2 = 1,225 watermelons

You should plant 5 extra watermelon plants to maximize production.

Since you have a garden row of 20 watermelon plants that produce an average of 30 watermelons a piece, and for any additional watermelon plants planted, the output per watermelon plant drops by one watermelon, to determine how many extra watermelon plants should you plant you must perform the following calculation:

Therefore, you should plant 5 extra watermelon plants to maximize production.

Learn more in https://brainly.com/question/2173344

Answer:

1.4 inches.

Step-by-step explanation:

Given that the length of the pool = 200 ft.

Scale factor = 1725.

As,

[tex]\text{Scale factor }=\frac{\text{Original length}}{\text{Scaled length}}[/tex]

So,

[tex]\text{Scaled length} = \frac{\text{Original length}}{\text{Scale factor}}[/tex]

By using the given values, we have

{Scaled length} [tex]= \frac{200}{1725} ft.=0.116 ft.[/tex]

As 1 foot = 12 inch,

So, scaled length = 0.116 x 12 = 1.4 inches.

Hence, the scale length of the model = 1.4 inches.

Answer:

C

Step-by-step explanation:

y=mx+n m is slope if slopes are perpendicular m1.m2=-1

(2/3) . (-3/2) = -1

m1=2/3

m2=-3/2

y=(2/3)x-3 m=2/3 n= -3

y=(-3/2)x+2   m = -3/2 n = 2

Answer:

195

Step-by-step explanation:

you just muliply

Answer:

The answer is 175! :)

I recommend searching or creating a times table for yourself, they are incredibly handy! Easy to print off or write down. :))

Step-by-step explanation:

Answer:

the rise is 6 and the run is 7.  the rate of leaking per minunte is about .8  gallons per minute

Step-by-step explanation:

i think its right this time

Answer:

First, make the denominators

15/2+2/2

Then, add

17/2

If you want it in decimal points

8.5

Step-by-step explanation:

I hope I explained well, please give me brainliest