Which two expressions are equivalent?
A. 5x - 5 and 5(x - 5)
B. 5(x - 5) and 5x - 25
C. 5x - 1 and 5(x - 5)
D. 5x(x - 1) and 5x - 5

Answer:

If the portion of frozen casserole occupies 1/3 of the pan, it can be affirmed that it occupies 0.333 of it. Thus, if someone eats 1/4 of the pan, it could be stated that they are eating 0.25 of it.

Therefore, to determine the fraction of the portion that has been eaten, the following calculation must be performed:

33 = 100

25 = X

(25 x 100) / 33 = X

2500/33 = X

75.75 = X

25/33 = X

Therefore, the fraction of the serving that was eaten is 25/33, or 76% of the serving.

Answer:

[tex]\mathbf{g'(x) = 5 \times \dfrac{(25x^2-1)}{(25x^2+1)}- 4 \times \dfrac{(16x^2-1)}{(16x^2+1)}}[/tex]

Step-by-step explanation:

The question can be better structured and represented as :

[tex]g(x) = \int ^{5x}_{4x} \dfrac{u^2-1}{u^2+1} \ du[/tex]

now the derivative of the function of g(x) is g'(x) which is equal to:

[tex]g'(x) = \dfrac{(5x)^2-1}{(5x)^2 +1 }\dfrac{d}{dx}(5x) - \dfrac{(4x)^2-1}{(4x)^2 +1 }\dfrac{d}{dx}(4x)[/tex]

[tex]\mathbf{g'(x) = 5 \times \dfrac{(25x^2-1)}{(25x^2+1)}- 4 \times \dfrac{(16x^2-1)}{(16x^2+1)}}[/tex]

Answer:

Substitute 5 for t in the equation 2t = 10.

Step-by-step explanation:

2t = 10

t = 10/2

t = 5

Substitute 5 for t in the equation 2t = 10.

The solution for the equation 2t = 10 is t = 5.

This can be made sure by "Substitute 5 for t in the equation 2t = 10".

Given an equation:

2t = 10

The equation has to be solved and find the value of t.

Divide both sides of the equation by 2.

t = 10/2

 = 5

Now, the value of t = 5, which is the solution of the equation 2t = 10.

So, in order to check the correctness of the solution, substitute the solution for the value of t into the original equation, 2t = 10.

Hence the solution is t = 5, and the option to check it is c.

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Answer: a = 9.2

Step-by-step explanation: -174.8/-19 = 9.2

Answer:

21

Step-by-step explanation:

21

This question is incomplete, the complete question is;

K Co. is a publicly listed company involved in the production of highly technical and sophisticated electronic components for complex machinery. It has a number of diverse and popular products, an active research and development department, significant cash reserves and a highly talented management who are very good in getting products to market quickly.

A new industry that K Co. is looking to venture into is biotechnology, which has been expanding rapidly and there are strong indications that this recent growth is set to continue. However, K Co. has limited experience in this industry. Therefore, it believes that the best and quickest way to expand would be through acquiring a company already operating in this industry sector.

Discussions taken place about the possibility of acquiring Tee Co. being acquired by K Co. Price of Tee company in stock market during last one year are as follows.

Price at the end of month

Month  Month end Price    KSE 100 INDEX

Jan          175                         32600

Feb        185                         33900

March     152                         33500

April        190                         34000

May        195                          33500

June       188                          33800

July        190                           33700

Aug        195                           33200

Sep        190                           32900

Oct         185                           33100

Nov        190                           33900

Dec        88                             34100

a) Calculate average return for both stock and market

b) Calculate Standard deviation for both

c) Calculate coefficient of variation for both

d) Calculate Beta of stock

Answer:

a) AVERAGE RETURN =  -3.69%,  0.42%

b) STANDARD DEVIATION = 19.38%, 1.74%

c) COEFF OF VARIATION = -5.2562, 4.1035

d) BETA  = 1.89

Step-by-step explanation:

Month     Month-end-Price     RETURN     KSE-100-INDEX     RETURN  

Jan          175                                                  32600    

Feb          185                            5.71%            33900                 3.99%  

March      152                           -17.84%         33500              -1.18%  

April         190                            25.00%        34000                  1.49%  

May          195                            2.63%           33500                 -1.47%  

June         188                            -3.59%          33800                 0.90%  

July           190                            1.06%           33700                 -0.30%  

Aug           195                            2.63%           33200                 -1.48%  

Sep            190                           -2.56%          32900                -0.90%  

Oct             185                           -2.63%          33100                   0.61%  

Nov            190                            2.70%           33900                 2.42%  

Dec            88                             -53.68%         34100                0.59%  

AVERAGE   -3.69%                                             0.42%                         =MEAN

RETURN

STANDARD 19.38%                                              1.74%         =STDDEV

DEVIATION

COEFF OF   -5.2562                                            4.1035                =STD/MEAN

VARIATION                                                                                            

VARIANCE      3.76%                                               0.03%                         =VAR

COVARIANCE    0.000569039                                                            =COVAR

BETA                    1.89                          =COVAR / VARIANCE (KSE 100 INDEX)

Answer:

ok so the answer is 343

Step-by-step explanation:

so for 4) you first use PEMDAS(Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction), and you do what's in the parenthesis first, so 7^4= 2401, that is inside the parenthesis, next you do the exponent outside the parenthesis, so is (2401)^2=5764801, and then you divide the 7^5=16807, so it looks like 5764801/16807=343

hope it helps

Answer:

The Answer is 343.

Step-by-step explanation:

First- We do the parenthesis first according to PEMDAS which is 7 x 7 x 7 x 7 equals 2401.

Next- We do 2401 x 2401 which equals 5764801.

Then- We do the bottom exponent which is 7 x 7 x 7 x 7 x 7 equals 16807.

Last- We divide 5764801 by 16807 and we get 343.

Hope this helps!

Answer:

the answer is equal because 8/12=2/3 so 2/3=8/12 (2/3)

Step-by-step explanation:

Answer:

Your Average Speed was 8.57057285 mph.

Step-by-step explanation:

Answer:

6,-6

Step-by-step explanation:

6+(-6)=6-6=0

The answer is 6,-6

Answer:

-8

Step-by-step explanation:

Since its going left I’m assuming it means negative. So you’re adding -7 to -1.

That gives you -8.

50

Step-by-step explanation:

You set this up with a ratio,  1:20 or 1 equals 20 miles.   So i'm multiplying by 20 regardless.   Now I have 2 and a half inches or you can say 2.5.  Multiply 2.5 (on paper..) and 20 and there you go.    20 times 2 equals 40 and 20 times a half is 10, 40 + 10= 50.  

Answer:

3.5$

Step-by-step explanation:

Nine 5's and five 1's. Nine five-dollar bills hit $45 dollars, and the remaining $5 can only be paid in 1's to reach 14 bills.

Answer:

a 1/8 chance (one out of eight, one eighth, whatever)

Step-by-step explanation:

Answer: x=y/(3b-7)

Step-by-step explanation:

To solve for v, you want to use algebraic properties to isolate x.

y=3bx-7x                [factor out x]

y=x(3b-7)                [divide both sides by 3b-7]

x=y/(3b-7)

Now, we know that x=y/(3b-7).

Answer:

3bx -7x = y

or, x(3b -7) = y

or, x= y/(3b -7)

Answer:

Answer option "A" : line.

Step-by-step explanation:

The trace formed by the collection of all points equidistant from (-5, -6) and (-5, 7) describe a horizontal line with equation y = 1/2.

Therefore the answer option "A" is the correct one.

Answer:

I think it would be B but im not completly sure.

Answer: [tex]k=\frac{300}{7}[/tex]

Step-by-step explanation:

Since we know that f(5)=8, we can plug in x=5 and set that equal to 8 to find k.

[tex]8=\frac{k}{5+1} +\frac{6}{5+2}[/tex]              [add denominator]

[tex]8=\frac{k}{6} +\frac{6}{7}[/tex]                     [get common denominator]

[tex]8=\frac{7k}{42} +\frac{36}{42}[/tex]                  [add]

[tex]8=\frac{7k+36}{42}[/tex]                     [multiply both sides by 42]

[tex]336=7k+36[/tex]              [subtract both sides by 36]

[tex]300=7k[/tex]                      [divide both sides by 7]

[tex]k=\frac{300}{7}[/tex]

Now, we know that [tex]k=\frac{300}{7}[/tex].

Answer:

3.6 its already rounded just take off the 0

The requried when rounding 3.60 to the nearest tenth is given as 3.60.

When rounding a number to the nearest tenth, we consider the digit immediately to the right of the tenth place. In this case, the number is 3.60.

The digit in the hundredth place is 0. Since it is less than 5, we do not need to round up. When rounding to the nearest tenth, if the digit in the hundredth place is 5 or greater, we would round up by increasing the digit in the tenth place by 1. However, if the digit in the hundredth place is less than 5, we leave the digit in the tenth place as it is.

In this case, since the digit in the hundredth place is 0, we simply keep the digit in the tenth place, which is 6. Therefore, rounding 3.60 to the nearest tenth results in 3.6.

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To determine the number of seconds it would take Dariya to download  7 songs at the same rate, we first find the unit rate and multiply it by 7.

Hence, option 4. By finding the unit rate and multiplying it by 7 is the right option.

Unit Rate = 7second/song.

Time to download 7 songs = 49 seconds.

A unit rate is a quantity taken for a unit of another quantity.

We are given that it takes Dariya 35 seconds to download 5 songs from the Internet. We are asked about the time it will take Dariya to download y songs at the same rate.

We will first determine the unit rate of the time taken for downloading a song.

5 songs take 35 seconds.

∴ 1 song takes 35/5 = 7 seconds.

∴ Unit rate is 7seconds/song.

Now to determine the time for downloading 7 songs, we multiply the unit rate by 7.

∴ Time taken to download 7 songs = 7 songs * unit rate

or, Time taken to download 7 songs = 7 songs * 7 second/song

or, Time taken to download 7 songs = 49 seconds.

∴ To determine the number of seconds it would take Dariya to download  7 songs at the same rate, we first find the unit rate and multiply it by 7.

Hence, option 4. By finding the unit rate and multiplying it by 7 is the right option.

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Answer: 1/ x^2y^5 or the third option from the top

Step-by-step explanation:

Answer: 12.5 cm

Step-by-step explanation:

Equation would be:

1:80

?:1000

So you'll just have the cross multiply the equation above to find ? ( scale drawing lake). It'll be 1000*1/80 which will be 12.5 cm.

The width of the lake on the  scale drawing is 12.50 cm

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

The scale drawing is usually reduced at a constant dimension

Dimension of the scale drawing = original dimensions / scale of the drawing

The scale is 1 cm to 80m

Thus, the width of the lake on the  drawing = 1000 / 80 = 12.50cm

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Answer: It is B - 40

Step-by-step explanation:

40-23 = 17

Answer:

40

Step-by-step explanation:

x-23 =17

x=17 +23

x=40

Answer:

16 Times Greater

Step-by-step explanation:

Smaller cylinder:

radius = 6 inches

height = 8 inches

area = (pi)r^2h

area = (3.14)6^2(8)

radius = 24 inches

height = 8 inches

area = (pi)r^2h

area = (3.14)24^2(8)

.

[(3.14)6^2(8)] / [(3.14)24^2(8)]

[6^2(8)] / [24^2(8)]

[6^2] / [24^2]

[36] / [576]

16 times greater

Answer:

Step-by-step explanation:

Smaller cylinder:

h = 6 ft

r = 6 ft

Volume of smaller cylinder = πr²h

                                             = π * 6 * 6 * 6 cubic ft

Bigger cylinder:

r = 6 * 2 = 12 ft

h = 6 ft

Volume of bigger cylinder = π * 12 * 12 * 6 cubic ft

Volume of bigger cylinder = π * 12 * 12 * 6

Volume of smaller cylinder    π * 6 * 6 * 6

                                           = [tex]\frac{2 * 2}{1*1}\\[/tex]

                                           = 4 : 1

The volume of greater cylinder is 4 times than the smaller cylinder.

Answer:

[tex]27x^{18}[/tex]

Step-by-step explanation:

[tex]\left(3x^6\right)^3[/tex]

Separate [tex]3x^6[/tex]:

[tex]3^3\times\left(x^6\right)^3[/tex]

[tex]27\times\left(x^6\right)^3[/tex]

[tex]27x^{6\times3}[/tex]

[tex]27x^{18}[/tex]

Answer:

2

Step-by-step explanation:

2

Answer: x=7

Step-by-step explanation:

To solve for x, you want to use algebraic properties.

20+8(x-11)=-12                  [distribute]

20+8x-88=-12                   [combine like terms]

8x-68=-12                          [add both sides by 68]

8x=56                                [divide both sides by 8]

x=7

Now we know that x=7.