Simplify (3xy)^5/x^3

Answer:

5 ft

Step-by-step explanation:

Using the formula,

A = 6a²

a² = A/6

a = √(A/6)

a =√(150/6)

a = √25

a = 5

The area of a 2D form is the amount of space within its perimeter. The length of the edge of the cube is 5 ft. The correct option is B.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The total surface area of a cube is 6 times the area of a face which is equal to the square of side of the cube. Therefore, the total surface area of the cube is,

Total surface area of cube = 6a²

Given that the total surface area of the cube is 150 square feet. Therefore,  the length of the side of the cube can be written as,

Total surface area of cube = 6a²

150 square feet = 6a²

150 square feet / 6 = a²

25 ft² = a²

a = √(25 ft²)

a = 5 ft

Hence, the length of the edge of the cube is 5 ft.

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Answer:

41.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos x = 9/12

Taking the inverse cos of each side

cos ^-1 ( cos x) = cos ^-1 (9/12)

x = 41.41

To the nearest tenth

x = 41.4

[tex]\\ \rm\longmapsto 3:4[/tex]

[tex]\\ \rm\longmapsto \dfrac{3}{4}[/tex]

Note.

The first term of the ratio is called consequent.

Answer:

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Step-by-step explanation:

Answer:

1they are 15 kilometers apart

A piecewise function is consists of different relationships between the variables over different intervals

The correct piecewise equation that models her total weekly pay is option B.

[tex]\mathbf{B.} \ y = \begin{cases} 24 \cdot x& \ 0 \leq x \leq 38 \\ 31\cdot (x - 38) + 912 & \ x > 38 \end{cases}[/tex]

The given parameters are;

The amount made by the webmaster for the first 38 hours she works = $24

The amount she makes for each hour worked after the first 38 hours = $31 an hour

Required:

To find the piecewise equation that models the total weekly pay, y, in dollars in relation to the number of hours x that she has worked during the week

Solution:

If she works for x ≤ 38 hours

The amount she makes working x less than or equal to 38 hours, y = $24/hour × x hours = $24 × x hours

The total amount the webmaster wakes by working all through the normal 38 hours is $24/hour × 38 hours = $912

If she works over 38 hours, (x > 38) we have;

The number of hours she works over 38 hours = x - 38

The amount she makes each hour after working 38 hours, y = $31/hour × (x - 38) hours

The total amount she makes y working for more than 38 hours is given as follows;

y = 31·(x - 38) + 912

The piecewise equation that models her weekly pay is therefore, presented as follow;

[tex]y = \begin{cases} 24 \cdot x& \ 0 \leq x \leq 38 \\ 31\cdot (x - 38) + 912 & \ x > 38 \end{cases}[/tex]

The above piecewise function is the same as option B

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Answer:

Step-by-step explanation:

Start by calculating the effective rate of interest:

.09/52= .0017307

(we divide by 52 because there are 52 weeks in a year)

Then just use the annuity formula

[tex]1600(\frac{1-(1+.0017307)^{-(20*52)}}{.0017307})=771396.864393[/tex]

Answer:

[tex]\huge\boxed{\sf x = 17}[/tex]

Step-by-step explanation:

Since m is a straight line, its measure is 180 degrees.

So,

2x + 5 + 8x + 5 = 180

2x + 8x + 5 + 5 = 180

10x + 10 = 180

10x = 180 - 10

10x = 170

Divide both sides by 10

x = 17

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

3250 mL = 3.25 L

* 1 mL = 0.001 L

I hope I helped you^_^

Answer:

Step-by-step explanation:

[tex](-\frac{1}{3} \sqrt{\frac{7}{2} } )^2+(\frac{1}{3} \sqrt{\frac{13}{2} } )^2\\=\frac{1}{9} (\frac{7}{2} +\frac{13}{2} )\\=\frac{1}{9} (\frac{7+13}{2} )\\=\frac{1}{9} \times10\\=\frac{10}{9} \neq 1[/tex]

not a unit vector.

b.

[tex](\frac{1}{\sqrt{3} } )^2+(-\sqrt{\frac{2}{3} } )^2\\=\frac{1}{3} +\frac{2}{3} \\=\frac{1+2}{3} \\=\frac{3}{3} \\=1[/tex]

it is a unit vector.

c.

[tex](\frac{1}{2} \sqrt{\frac{5}{3} } )^2+(-\frac{1}{2} \sqrt{\frac{7}{3} } )^2\\=\frac{1}{4} (\frac{5}{3} +\frac{7}{3} )\\=\frac{1}{4} (\frac{5+7}{3} )\\=\frac{1}{4} (\frac{12}{3} )\\=\frac{1}{4} (4)\\=1[/tex]

it is a unit vector.

d.

[tex](\frac{3}{\sqrt{7} } )^2+(-\frac{2}{\sqrt{7} } )^2\\=\frac{9}{7} +\frac{4}{7} \\=\frac{9+4}{7} \\=\frac{13}{7} \neq 1[/tex]

it is not a unit vector.

Answer:

Step-by-step explanation:

Start a little more generally. Carefully find k

distance = k * speed ^2      

112 = k*40^2

112 = k * 1600                     Divide by 1600

112/1600 = k

k = 0.07

Now do the question you are asked to do.

distance = k * speed^2

distance = 0.07 * 65^2

distance = 295.75

Now having done that, you can set up a proportion.

d1 / d2 = k speed1^2/kspeed2^2      Cancel the ks

112/d2 = 40^2 / 65^2                         Cross multiply

112 * 65^2 = 40^2 * d2                      Divide by 40^2

112 * 65^2/40^2 = d2                        Expand the squares

112 * 4225 / 1600 = d2

295.75 = d2    

The second way is shorter, but I suggest the long way until you get comfortable with it.

Answer:

The choose A.

y= – | x+1|–4

I hope I helped you^_^

Answer:

10 3/5

Step-by-step explanation:

6 4/5 + 3 4/5

First convert to improper fraction,

34/5 + 19/5

Then add the improper fractions,

=>53/5

Then convert improper fraction to mixed fraction,

=> 53/5 = 10 3/5

Answer:

The coordinates of a point are a pair of numbers that define its exact location on a two-dimensional plane.

Answer:

-35

Step-by-step explanation:

-(18+17)

-35

that should be the answer but don't quote me on it

Answer:

1 7/8

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

It is a 1/13 chance but even if you shuffle and replace it, its still a 1/13 chance.

The probability that John draws a jack on the first try is 1/13. If John replaces the card, re-shuffles, and draws again, the probability that he will pull another jack stays the same. Hence, statement d is correct.

The probability of an event is the ratio of the number of favorable outcomes to the event to the total number of outcomes for the experiment.

If we have an event A, the number of favorable outcomes to event A is n, and the total number of outcomes in the experiment is S, then the probability of the event A is given by,

P(A) = n/S.

We are given that John is playing a game with a standard deck of playing cards.

We are said that he wants to try to draw a jack on the first try.

Let the event of drawing a jack be A.

The number of outcomes favorable to the event A (n) = 4 (number of jacks)

The total number of outcomes in the experiment of drawing a card (S) = 52 (the total number of cards)

∴ The probability of the event A is given by,

P(A) = n/S = 4/52 = 1/13.

∴ The probability of drawing a jack on the first try is 1/13.

When he replaces the card and re-shuffles it, the probability will be the same as the number of favorable outcomes and the total number of outcomes remains the same.

∴ The probability that John draws a jack on the first try is 1/13. If John replaces the card, re-shuffles, and draws again, the probability that he will pull another jack stays the same. Hence, statement d is correct.

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Answer:

2

Step-by-step explanation:

We know that the opposite sides of a parallelogram are equal so:

25x+1=7x+37

18x=36

x=2

9514 1404 393

Answer:

  19.3 g/cm³

Step-by-step explanation:

There are 2.54 cm in one inch, so the weight of 1 cm³ is ...

   (316 g/in³) ÷ (2.54 cm/in)³ = 19.3 g/cm³

Answer:

105+105+2x=360 and x=75

Step-by-step explanation:

z=75

Answer:

Step-by-step explanation:

Percentage = ( number used / total number) x 100

32/90 = 0.3555

0.3555 x 100 = 35.56%

Rounded to nearest tenth = 35.6%

Mary Anne is using about 35.6% of her quilt squares stock.

A percent is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

Percentage  = (Value/Total value) × 100.

According to the given question.

Total number of quilt squares Mary Anne have = 90

Number of quilt squares Mary Anne is using = 32

Therefore,

The percent of her quilt square she is using

= [tex]\frac{32}{90} \times 100[/tex]

[tex]= 0.3555\times 100[/tex]

[tex]= 35.6[/tex] %

Hence, Mary Anne is using about 35.6% of her quilt squares stock.

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Answer:

f(1) = 0

f(2) = 4

f(3) = 8

Step-by-step explanation:

Substitute the values for the variable x.

[tex]f(1)=4(1)-4\\f(1)=4-4\\f(1)=0\\\\f(2)=4(2)-4\\f(2)=8-4\\f(2)=4\\\\f(3)=4(3)-4\\f(3)=12-4\\f(3)=8[/tex]

When x= 1

y = 4(1) - 4

y = 0

when x = 2

y = 4(2) - 4

y = 4

when x = 3

y = 4(3) - 4

y = 8

Answer:

12.7 m

Step-by-step explanation:

use pythagorean theorem

[tex]13^{2} + b^{2} = 18.2^{2}[/tex]

rounds to 12.73735

not fully sure if that's right

Answer:

[tex] - 4x + 5 - (6x + 7) = 0\\ - 4x + 5 - 6x - 7 = 0 \\ - 10x - 2 = 0 \\ 10x + 2 = 0 \\ 10x = - 2 \\ x = \frac{ - 2}{10} \\ x = - .2 \\ thank \: you[/tex]

Step-by-step explanation:

For TU is it -2x-4 or 2x-4 cause the question and what on your paper are different

Answer:

20

Step-by-step explanation:

ST= SU - TU

=24 - (2x-4)

=24-2x+4=28-2x

but. 2x-4+3x+8 = 5x+4 = 24

5x=24-4=20

x=20/5=4

so ST=28-2x= 28-2(4)

ST=20

Answer:

25

Step-by-step explanation:

Answer:

21 answers.

Step-by-step explanation:

First, change the percentage into a decimal point. Move the decimal point to the left two place values and drop the percentage sign:

70% = 70/100 = 0.70

Next, multiply 0.70 with the total amount of questions (30):

30 x 0.70 = 21

21 answers must be correct.

Check:

Divide 21 with 30:

21/30 = 0.70 = 70%

~

Answer:

26.8°

Step-by-step explanation:

4x - 20 + 6x - 7 = 90

10x -27 =90

10x = 90+27

10x= 117

x = 11.7

so, the angle R = 4x-20 =4(11.7)-20

= 46.8-20 = 26.8°