Change the following mixed expressions to fractions and then simplify the complex fractions.

y-(4x^(5))/(x^(2)-xy)

Answer:

592 sq. ft.

Step-by-step explanation

area of front and back=2[12×6]+2[1/2×12×8]=144+96=240 ft²

side area=2[(6+10)×11]=2×176=352 ft²

Total surface area=240+352=592 square feet.

Answer:

43 32 24

Step-by-step explanation:

4×4×4×3×3×2×2×2×2

I count 3 fours, 2 threes, 4 twos.

4×4×4×3×3×2×2×2×2

[tex]= 4^3 3^2 2^4[/tex]

That might be the answer; we don't see the choices.

Since 4 is 2² we can take another step.

[tex]= (2^2)^3 3^2 2^4[/tex]

[tex]= 2^6 3^2 2^4[/tex]

[tex]= 2^{10} 3^2[/tex]

That's the full prime factorization.

Answer: 2¹⁰ 3²

Answer:

B: DCE=D'C'E'

I hoped this helped you!

The required Triangle DCE is congruent to triangle D'C'E'. Option B is correct.

In geometry, two figures are congruent if they have the same shape and size, and all their corresponding parts (sides, angles, and vertices) are congruent. Congruent figures can be moved, rotated, or reflected without changing their shape or size.

Here,
Triangle DCE is congruent to triangle D'C'E'.

This is because a translation is a type of transformation that preserves the shape and size of the original figure, so the two triangles are congruent with each other.

Thus, the required Triangle DCE is congruent to triangle D'C'E'. Option B is correct.

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Answer: B

Step-by-step explanation:

[tex]\frac{2}{7k}(k-7)[/tex]

[tex]\frac{2k-14}{7k}[/tex]

[tex]\frac{2k}{7k}-\frac{14}{7k}[/tex]

[tex]\frac{2}{7}-\frac{2}{k}[/tex]

6√5 - 4√3-

i took the test but sorry if its wrong

Answer:

B. X > 0

Step-by-step explanation:

It is X > 0, because the circle is empty, which means that X cannot be 0, which allows s to eliminate C and D as an answer. The arrow shows that X is greater than 0. Therefore, you can eliminate A as an answer, leaving us with B. X > 0

Answer:

6 2/9 hours

Step-by-step explanation:

Take the number of required hours minus the number of hours worked to get the number of hours still needed.

45 - 38 7/9 = 6 2/9 hours

If this answer is correct, please make me Brainliest!

Answer:

Step-by-step explanation:

For this problem, you have to find out how much each cereal costs per ounce. So you must divide each price by the amount of cereal you get and compare:

$4.08/16oz=$0.255/oz

Find the unit price ($/oz) of the remaining 2 then compare. The lowest value is the best buy!  

Answer:

$ 4,986.18

Step-by-step explanation:

A = $ 4,986.18

A = P + I where

P (principal) = $ 4,610.00

I (interest) = $ 376.18

Answer:

1/4

Step-by-step explanation:

We have 3/4 of a tank

We will use 2/3 of the  gas in the tank

That will leave us 1/4

Mathematically

3/4*2/3 = 2/4 =1/2  this is the amount that is used

Subtract this from the amount in the tank

3/4 -1/2

3/4 -2/4 = 1/4

This is the amount that is left in the tank

Answer:

y = x + 4

Step-by-step explanation:

I have attached the work to your problem below.

Please see the attachment.

I hope this helps.

Answer:

y = x + 4

Step-by-step explanation:

I took the lesson and got it correct

Answer:

Step-by-step explanation:first u need to buy then break it into half with ur friend then ur friend will get all and u will only get one but u will be lonely if u don’t tell ur friend to give u

Answer:

The area of the label is 36*pi in²

Step-by-step explanation:

A can of soup has a shape of a cylinder, therefore it's volume is equal to:

Volume = pi*r²*h

We need to use the formula above to find the radius of the base, because we need to calculate the lateral area of the cylinder, which is given by:

Lateral area = 2*pi*r*h

Applying the data from the problem we have:

54*pi = pi*r²*6

pi*r²*6 = 54*pi

r² = 54*pi/(pi*6)

r² = 54/6 = 9

r = sqrt(9) = 3 in

Therefore the lateral area is:

lateral area = 2*pi*(3)*(6) = 36*pi in²

Answer:

18π in ²

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cylinder.

Given data

volume v = 54 π in³

Height h = 6 in

In this problem we are considering the surface area of the cylinder

(not the total though ) but the curved surface area

Let us solve for the radius of the shape

Volume = πr²h

54π= π*r²*6

54/6= r²

r²= 9

r= √ 9

r= 3in

Area of curved surface = 2πrh

Area = 2πrh

Area =2π*3*6

Area = 18π in ²

Answer:

go FORWARD 3 places

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

x+4/4 = 9/12

If you plug in -1, then 3/4=9/12.

This is a true proportion.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

Scale of 181: 1

Step-by-step explanation:

The first thing to do is to pass the feet by the meter, to work in the same units and thus create a consistent scale:

We know that one foot equals 0.3048 meters, therefore:

8 feet * 0.3048 meters / 1 foot = 2.4384 meters

So the scale would be:

443.2 / 2.4384 = 181.75

Which means that it is best to make a scale of 181: 1

Where 181 meters from the Empire State Building would equal 1 meter at home 0 181 inches would equal 1 inch at home

Answer:

You did not write the options, but let's solve it in a general way.

f(x) and g(x) are quadratic functions, this means that:

f(x) = a*x^2 + b*x + c

g(x) = d*x^2 + e*x + f

now, (g + f)(x) is a linear function that goes trough the points (-3, 4), (0,1 ) and (1,0)

(g + f)(x) = s*x + k

We can find the slope of this linear function as:

S = (y2 - y1)/(x2 - x1)

i will use the first two points.

S = (1 - 4)/(0 - (-3) = -3/3 = -1

so we have: ( f + h)(x) = -1*x + k

and we can find k using one of the points, for example (0, 1)

1 = -1*0 + k

b = 1.

so we have: (f + g)(x) = -1*x + 1.

Now, (f+g)(x) = (a + d)*x^2 + (b + e)*x + (c + f) = -1*x + 1.

So we must have that:

a = -d

b + e = -1

c + f = 1.

Answer:

A. The leading coefficients of f(x) and g(x) are opposites.Step-by-step explanation:

Answer:

Height of the mountain was 28331.8 feet.

Step-by-step explanation:

An observer took the measurements from two sights C and D.

Point D was 1000 ft away from the earlier sight point C.

Angle of elevations from points C and D were 85° and 83° respectively.

From ΔABC,

tan85 = [tex]\frac{h}{x}[/tex]

x = [tex]\frac{h}{tan85}[/tex] -----(1)

Similarly, from ΔABD,

tan83 = [tex]\frac{h}{(x+1000)}[/tex]

x + 1000 = [tex]\frac{h}{tan83}[/tex]

x = [tex]\frac{h}{tan83}-1000[/tex] -----(2)

Now we substitute the value of x from equation (1) in the equation (2)

[tex]\frac{h}{tan85}=\frac{h}{tan83}-1000[/tex]

0.122785h - 0.087488h = 1000

0.035296h = 1000

h = 28331.822 ft

h ≈ 28331.8 ft

Therefore, height of the mountain was 28331.8 feet.

Answer:

1.92 yd  x 3.83 yd  x 2.58 yd

Step-by-step explanation:

We have given a rectangular base, that its twice as long as it is wide.

It must hold 19 yd³ of debris.

Lets minimize the surface area, subject to the restriction of volume (19 yd³)

The surface is given by:

[tex]S=2(w*h+w*2w+2wh)=2(3wh+2w^2)[/tex]

The volume restriction is:

[tex]V=w*2w*h=2w^2h=19\\\\h=\frac{9.5}{w^2}[/tex]

replacing h in the surface equation, we have:

[tex]S=2(3wh+2w^2)=6w(\frac{9.5}{w^2})+4w^2=57w^{-1}+4w^2[/tex]

Derivate the above equation and set it to zero

[tex]dS/dw=57(-1)w^{-2} + 8w=0\\\\57w^{-2}=8w\\\\w^3=57/8=7.125\\\\w=\sqrt[3]{7.124} =1.92[/tex]

The height will be:

[tex]h=9.5/w^2=9.5/(1.92^2)=9.5/2.69=2.58[/tex]

Therefore,The dimensions that minimize the surface are:

Wide: 1.92 yd  

Long: 3.83 yd

Height: 2.58 yd

Answer:

height = 2.5 units

Step-by-step explanation:

The volume of a rectangular prism is given by the product of its base area and its height. If the area of the base is 28 square units and the volume is 70 cubic units, we can find the height as follows:

Volume = base area * height

70 = 28 * height

height = 70 / 28

height = 2.5 units

The height of the rectangular prism is 2.5 units.

Answer:

468 square feet; Option C

Step-by-step explanation:

We can see that the base of this triangular prism has dimensions 15 feet by 10 feet, so for starters let us compute the area of this base:

Area ⇒ 15 * 10 = 150 ft^2

Now the rectangular surface next to this base, has dimensions 9 feet by 10 feet, provided that 9 feet is a uniform height of the triangular prism:

Area ⇒ 9 * 10 = 90 ft^2

This third rectangle is provided with one dimensions, of 10 feet. If we were to imagine what part of the 3-d shape is is, it would in fact be the slanted top. To find the second dimension, you would imagine it to be 12 feet. Using that, the area of this rectangle is thus ⇒ 10 * 12 = 120 ft^2

Now the two triangles at the corners each have an area of ⇒ 1/2 * base * height = 1/2 * 12 * 9 = 6 * 9 = 54 ft^2, so they have a total area of ⇒ 108 ft^2

This means the surface area of the right, triangular prism is:

150 + 90 + 120 + 108 = Answer: 468 square feet

Answer:

Bryan spent $45 on flowers. The last sentence isn't needed to answer this question.

Step-by-step explanation:

If you multiply 10 by 2, then 5 by 5, and add it at the end you get 45.

Answer:

C) x = −5 and x = 1

Step-by-step explanation:

I took the test and I got it right

The solutions to the quadratic equation [tex]4(x + 2)^2 = 36[/tex] are as x = -5 and x = 1.

Suppose that we've a function y = f(x) such that f(x) is quadratic.

When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0

This solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.

We have the given quadratic equation

[tex]4(x + 2)^2 = 36[/tex]

solving for x

[tex]4(x + 2)^2 = 36\\\\(x + 2)^2 = 36/4\\\\(x + 2)^2 = 9\\\\(x + 2)^2 = 3^2\\\\(x + 2) = 3\\\\x = 1\\or \\\\x + 2 = -3\\\\x = -5[/tex]

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Answer:

[tex]x=2[/tex]

Step-by-step explanation:

[tex]-2(x+3)=-10\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(x+3\right)}{-2}=\frac{-10}{-2}\\Simplify\\\frac{-2\left(x+3\right)}{-2}=\frac{-10}{-2}\\\frac{-2\left(x+3\right)}{-2}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{2\left(x+3\right)}{2}\\\mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1\\=x+3[/tex]

[tex]\mathrm{Simplify\:}\frac{-10}{-2}:\quad 5\\\frac{-10}{-2}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{10}{2}\\\mathrm{Divide\:the\:numbers:}\:\frac{10}{2}=5\\=5\\x+3=5\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\\x+3-3=5-3\\\mathrm{Simplify}\\x=2[/tex]

Answer:

x+3=-10/-2=5

x=5-3=2

Answer:

1330.808 euros

Step-by-step explanation:

Let's first calculate the total amount of kilograms,

for the first 60, we have to:

50 kg

4 hg = 0.5 kg

60 dag = 0.6

5 g = 0.005 kg

adding: 50 + 0.5 +0.6 + 0.005 = 51.105 kg per tree, but they are 60

51.105 * 60 = 3066.3

now for the other 20:

53 kg

2 hg = 0.2 kg

16 dag = 0.16

5 g = 0.005

adding: 53 + 0.2 +0.16 + 0.005 = 53.365 kg per tree, but they are 20

53,365 * 20 = 1067.3

in total it would be: 3066.3 + 1067.3 = 4133.6

they tell us that 1/5 is the quantity in liters:

4133.6 * 1/5 = 826.72 liters

so to calculate the earnings it would be:

2.65 * 826.72 - 860 = 1330.808

which means that in net earnings are 1330.808 euross

Answer: 53,130 possible combinations

Step-by-step explanation:

First, we want to find how much is the 20% of 25.

This is:

N = (20%/100%)*25 = 5.

So 5 students out of 25 are selected.

When we want to calculate the number of combinations of N elements it a group of K elements, we have:

[tex]C = \frac{N!}{(N - K)!*K!}[/tex]

Here N = 25, and K = 5

[tex]C = \frac{25!}{20!*5!} = \frac{25*24*23*22*21}{5*4*3*2*1} = 53,130[/tex]

so we have 53,130 combinations.

Answer:

I'm glad you asked!

Step-by-step explanation:

Step 1:Order the numbers from least to greatest.

[tex]22,37,41,48,52,54,65,71,71,81[/tex]

Step 2:Now find the middle number.

[tex]22,37,41,48[/tex],52,54[tex],65,71,71,81[/tex]

Step 3:Since there are two numbers,we add them together then divide by 2.

[tex]52+54 =106[/tex]

[tex]106/2=53[/tex]

The median is 53.

Answer:

53

Step-by-step explanation:

Answer: 9/12 equals 0.75 so 75 percent is the answer.

Step-by-step explanation:

Answer:

B should be the correct answer

Step-by-step explanation:

don't quote me on that

Answer:

A

Step-by-step explanation:

Carlos' score was 2 standard deviations from the mean, so his z-score was 2.0. You can either use the empirical 68-95-98.5 rule, or you can plug it into your calculator as normalcdf(-999, 2) = .977

So 97.7% of people had a score lower than Carlos!

.977 * 1.5 million = 1,465,500 people