Tyler has two cube-shaped storage spaces in his apartment building, one large and one
small. The small storage space has a volume of 12 ft. Tyler wants to know the total
volume of both storage spaces.
s = length (ft) of one side of the large storage space
• Which expression represents the total
volume of the two storage spaces?
8
12 ft3
38 +12
(s +12)
S
8
83 +12
$3 +12

Answer:

0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.1.

This means that [tex]\mu = 73.5, \sigma = 5.1[/tex]

Find the probability that there will be fewer than 69 broken pretzels in a run.

This is the p-value of Z when X = 69.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{69 - 73.5}{5.1}[/tex]

[tex]Z = -0.88[/tex]

[tex]Z = -0.88[/tex] has a p-value of 0.1894

0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.

Answer:

B

Step-by-step explanation:

The min and max numbers are 5.5 and 8.5. To find range, you subtract the bigger number by the smaller number. To find midrange, you find the median of the 2 min and max numbers.

8.5-5.5=3

5.5 6 6.5 7 7.5 8 8.5

 1   2  3   4  5   6   7

So the range is 3 and the midrange is 7.

---

hope it helps

Answer:

$240

Step-by-step explanation:

We can set this up by making an equation: x + 2x + 40 = 760.

Now we can solve.

x + 2x + 40 = 760 (combine like terms (x))

3x + 40 - 40 = 760 - 40 (subtract 40 from both sides)

3x / 3 = 720 / 3 (divide by 3 to isolate x)

x = 240

Because Emma has $x, she has $240 in her bank account.

You can check this by substituting this value for x in our original equation.

Answer:

1:10 [simplified from 4:40)

Step-by-step explanation:

4 pencils+ 12 marker+ 24 crayons=40

4 pencils: 40 items

1 pencil : 10 items

i dunno if this was right but there you gooo lol</3

Answer:

x² - 2x - 180 = 0

Step-by-step explanation:

A square piece of paper has an area of x² square units

w = x

l = x

A rectangular strip with a width of 2 units and a length of x units is cut off of the square piece of paper.

this leaves

l = x

w = x - 2

x(x - 2) = 180

x² - 2x = 180

x² - 2x - 180 = 0

Answer:

x2 − 2x − 120 = 0

Step-by-step explanation:

A square's area is calculated by multiplying each side's length by itself. That is, Area A = s x s, with s denoting the length of each square side. A square with each side measuring 8 feet in length has an area of 8 times 8, or 64 square feet.

Let x  the length side of the original square paper

we know that the area of the original square paper is equal to

[tex]A1=x*x=x^{2} units{2}[/tex]

the area of the remaining piece of paper is equal to

[tex]$A 2=x^{2}-2 x$\\$A 2=120$ units $^{2}$[/tex]

so

[tex]$x^{2}-2 x=120$$x^{2}-2 x-120=0$[/tex]

therefore, the side length of the original square is x2 − 2x − 120 = 0

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Answer:

A

Step-by-step explanation:

Two angles are complementary if their angles add up to 90

let x= angle b

35+x=90

x=55

Answer:

The numerator factors to

[tex](x + 2)(x - 1)[/tex]

The denomenator factors to

[tex](x + 4)(x - 1)[/tex]

I dont understand the question

Answer:

13) B

14) A

Step-by-step explanation:

13) Knowing that the interior angles of a triangle add up to 180, we can see that angle A is 53°. To find length c, we can use either sine or cosine. Let's use sine:

sin 37° = b/c = 15.9/c ---> c = 15.9/sin 37 = 26.4

To solve for side a, use cosine:

cos 37° = a/26.4 ---> a = 26.4cos37 = 21.1

14) Again, knowing that the interior angles of a triangle add up to 180, we know that angle B is 52°. This time,let's use cosine (although you may choose sine if you want):

cos 38° = b/16 ---> b = 16cos38 = 12.6

To find side a, use sine:

sin 38° = a/16 ---> a = 16sin38 = 9.9

Answer:

I think it's 2

Step-by-step explanation:

Answer:

1/11 is correct.

Step-by-step explanation:

You can see that the 3 is spun 2 times, but we need to know how many times he spun in total.

2 + 3 + 2 + 4 + 5 + 2 + 1 + 3 = 22

2/22 = 1/11

Have a nice day!

The surface area of this square pyramid is 33ft

The formula for calculating the surface area of the ssquare pyramid is expressed as:

TSA = Area of square + 4(area of triange)

TSA = (3*3) + 4(0.5 * 4 * 3)

TSA = 9 + 4(6)
TSA = 9 + 24
TSA = 33 square feet

Hence  the surface area of this square pyramid is 33ft

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Answer:

we have

b=3mm

c=5mm

a=?

angle =62°

By using cosine rule.

a²=b²+c²-2bc cos angle

a²=3²+5²-2×3×5 cos 62°

a²=19.92

a=√19.92

a=4.5

I had choose cosine rule.

Answer:

second

Step-by-step explanation:

substitute y=6 and x=1 in the given relations and see if works

y=2x will be 6 = 2*1 false

y=x+5 will be 6 = 1+5 true

because this is true check all the other y and x and if all true is good

7=2+5 true, 8=3+5 true 9= 4+5 true, 10=5+5 true, so second is good

y=2x+1 will be 6=2*1+1 false

y=3x+1 will be 6=3*1+1 false

Option C, [tex]\left(\dfrac{\pi}{4},\dfrac{5\pi}{4}\right)[/tex]  is the correct answer such that the function, [tex]f(x)=12sin(x-4\pi)[/tex] where, [tex]x[/tex] is the time in [tex]seconds[/tex] and [tex]f(x)[/tex] is the position of the water wave in [tex]ft[/tex] above and below the normal water level.

The inverse of the function is the mirror image of the function with respect to the dependent variable.

From the figure, the interval of water wave above the normal water level is [tex]\left(\dfrac{\pi}{4},\dfrac{5\pi}{4}\right)[/tex].

So, the interval of the mirror image of the function with respect to the dependent variable [tex]x[/tex] is [tex]\left(\dfrac{\pi}{4},\dfrac{5\pi}{4}\right)[/tex].

As a result, Option C is the correct answer.

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Answer:

40 + 20 = 72 - 12

Step-by-step explanation:

4(10 + 5) = 6(12 - 2)

Mutilpy 4 times 10 and 5

Mutiply 6 times 12 and -2

Answer:

-30x

Step-by-step explanation:

The parenthesis is just to multiply, and you can combine like terms. So -5*6=-30, which you multiply with x to get -30x.

Answer:

(2) 12√5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

g(x) = 4√x

g(45) is x = 45 for function g(x)

Step 2: Evaluate

Answer:

Answer:C = 8

Answer:C = 8Step-by-step explanation:

-2(4c+16)^1/4+2=-2

Move the constant to the right and change the sign

-2(4c+16)^1/4= -2-2

transform expression

[tex] - 2 \sqrt[4]{4c - 16} = - 4[/tex]

Divide each side by -2

[tex] \sqrt[4]{4c - 16 } = 2[/tex]

raise both side of the equation by power of 4

4c-16=16

move constant to the right and change the sign

4c=16+16

4c=32

THEN DIVIDE BOTH SIDES BY 4

C = 8

Answer:

see below

Step-by-step explanation:  5 27  7  16

area = 1/2 bh

height of a triangle is 7 ft more than its base

base = b

height = b + 7

area = 30

area = 1/2 b(h)

30 = 1/2 b(b + 7)

30 = 0.5(b²+ 7b)

30 = 1/2 b²+ 3.5b           solve for b

1/2 b²+ 3.5b = 30        

1/2 b²+ 3.5b - 30 = 0        

b²+ 7b - 60 = 0            factor

   (b +12)(b - 5) = 0    when b = -12 or 5     base length can't be negative

b = base = 5

area = 1/2 bh     1/2×2(9)     = 9

area = 1/2 bh     1/2×5(12)     = 60

area = 1/2 bh     1/2×9(16)     = 56

area = 1/2 bh     1/2×12(19)     = 114

Answer:

D. direct variation

Step-by-step explanation:

Answer:

yes it is direct variation

Step-by-step explanation:

well I'm sorry I Don't know if it's going to be step by step but my own understanding is that what ever happens on one side will affect the other side so if there is an increase in A there will be an increase in B so there's a form of equilibrium. so let's say we throw two stones A and B into a fast flowing river we expect that the water will flow so the more the velocity of the river the faster the stone will flow so as the river is flowing the stone is floating as well but an indirect variation as the river increases it's velocity the stone decreases it's movement so in direct variation as the river increases it's velocity the stone does as well. I hope this is well detailed and I answered your question , thank you

Volume of a cylinder is the area of the base x the height.

Area of base = pi x r^2 = 3.14 x 2^2 = 12.56

Volume = 12.56 x 8 = 100.48 units^3

Answer:

32 pi units^3

Step-by-step explanation:

The volume of a cylinder is given by

V = Bh  where B is the area of the base

The base is a circle

The area of a circle is given by

A = pi r^2

The radius is 2

A = pi (2)^2 = 4pi

The area of the base is 4pi

The height is 8

V = 4pi *8

V = 32 pi units^3

Answer:

Congress immediately tabled its expected contribution of $200,000 to the Society, effectively halting the appropriation. During its tenure, the Know-Nothing Society added only two courses of masonry, or four feet, to the monument using rejected masonry it found on site, increasing the height of the shaft to 156 feet

Step-by-step explanation:

Answer:

9,500,000. the ten thousands place has a two, which is one less than 3, rendering the 6 in the thousand's place ineffective

Step-by-step explanation:

4 or less let it rest, 5 or more let it score

Answer: look at the picture

Step-by-step explanation: Hope this help :D

For m = -7, n = 4, 9m+7n = -35

"To solve or evaluate an expression is nothing but substitute the given value of the variable in the expression and then simplify the expression using the order of mathematical operations."

Given expression:9m+7n

We need to solve this expression for m = -7 and n = 4.

Substituting m = -7, n=4 in given expression,

⇒ 9m+7n

⇒ 9(-7) + 7(4)

⇒ -63 + 28

⇒ -35

Therefore, for m = -7, n = 4, 9m+7n = -35

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Answer:

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