Rewrite without parentheses and simplify.
(2-5y)²

Step-by-step explanation:

Area: Length X width

Perimeter: Add all sides

The transformation to the parent function f(x) from g(x) is (b) g(x) is shifted 2 units to the right and 6 units up

The equations are given as:

f(x) = x^3

g(x) = (x - 2)^3 + 6

The function g(x) can be rewritten as:

g(x) = (x - h)^3 + k

This means that the function f(x) is shifted right by h units and shifted up by k units.

By comparison:

h = 2 and k = 6

Hence, the transformation to the parent function f(x) from g(x) is (b) g(x) is shifted 2 units to the right and 6 units up

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Answer:

D)  x + √x - 6.

Step-by-step explanation:

(√x-2)(√x + 3)

= √x*√x + 3*√x - 2*√x - 2*3

= x + √x - 6.

Answer:

From top to bottom:

Simplify

Combine like terms

Subtract 3x from both sides

Add 14 on both sides

Step-by-step explanation:

Hope this helps

Answer:

red colour is 7...blue is 3 ...green 9...yellow 13...purple 8

Answer:

x^2 + 5x - 14

Step-by-step explanation:

We can assume that if there is 2 options for x, this is a quadratic equation that equals 0.

Therefore, we can put this into brackets as one bracket must equal 0.

(x - 2) (x + 7)

After this we expand, which is a process easier to search up

The answer is:

x^2 + 7x - 2x - 14

We can simplify this to:

x^2 + 5x - 14

x^2 represents x squared in case you were wondering

Therefore, the answer is:

x^2 + 5x - 14

Answer:

73.40°

Given a right angle triangle.

Solve the missing angle using cosine rule.

[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]

Here given:

adjacent: 2

hypotenuse: 7

angle: x

Solve:

[tex]\rightarrow \sf cos(x) = \dfrac{2}{7}[/tex]

[tex]\rightarrow \sf x = cos^{-1}(\dfrac{2}{7})[/tex]

[tex]\rightarrow \sf x =73 .40^ \circ \:[/tex]

The probability of the complement of the event is 3/4 if the nickel is selected at random out of a bag containing 15 pennies, 10 nickels, and 15 dimes.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of contains in the bag = 15+10+15 = 40

Total number of nickel = 10

The probability of getting the nickel = 10/40 = 1/4

The complement of the probability:

P' = 1 – 1/4

P' = 3/4

Thus, the probability of the complement of the event is 3/4 if the nickel is selected at random out of a bag containing 15 pennies, 10 nickels, and 15 dimes.

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Answer:

5 days

Step-by-step explanation:

This problem is an inverse proportion case. Having two variables: number of workers and time (in days); when we increase the number of workers, the time needed decreases; vice versa. Therefore, we can use the multiplication method: (workers * time) will always stay constant.

Let's say the time (in days) needed by the eleven workers is t,

5*20 = (3*10) + (14*t)

100 = 30+14t

70 = 14t

5 = t

It will take the eleven-workers 5 more days to finish the road.

Answer:

2,985 yes votes

Step-by-step explanation:

Ratio of yes votes to no votes was 5 to 8, we can write the following equation:

Yes : no : total = 5 : 8 : 13

Knowing the total votes was 7,761, thus the number of yes votes = (5/13) * 7,761 = 2,985 votes.

Answer:

Either %16.67 or %17 if rounded

Step-by-step explanation:.

An easy way to do this is convert the probability from a fraction into a percent. We can do this by taking the total number of chocolate squares (18) and using this as a denominator. Then take the number of white chocolate squares (3) and using this as our numerator. This give us a fraction of 3/18. Now to turn this into a percent, we need to find what you need to multiply 18 by to get 100. We can do this easily by deviding 100 by 18. This is a long decimal so i'll keep it in fraction form (100/18). Now you just have to multiply 3 by (100/18). This is about 16.67. If the answers are rounded it will be 17%.

Answer:

Total Volume grain elevator holds - 20357.52

Volume needed for 100-acre field - This is all you need to find. If the volume is more than what the grain elevator can hold than there will need to be a rented one as well. If the volume of the grain is lower than what the grain elevator holds, than that's all you need.

Step-by-step explanation:

You have to find how much volume you would need to hold harvest from a 100-acre field.

Then you have to find how much volume is in the grain elevator.

In order to find the volume of the grain elevator you have to divide it up by the cylinder and the cone.

Cone volume - V=πr^2(h/3)

V=2035.75

Cylinder volume - V=πr^2h

V=18321.77

The measure of DE is triangle ABE is similar to ACD is 9units

For triangles to be similar, the ratio of their sides must be equal to the constant called he scale factor.

From the given diagram;

AB/AE = AC/AD
20/15 = 32/15 + DE

Solve for DE
4/3 = 32/15+DE
4(15+DE) = 3(32)
15+DE = 3(8)
DE = 24 - 15
DE = 9

Hence the measure of DE is triangle ABE is similar to ACD is 9units

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Answer:

Step-by-step explanation:

a) (2,-4)  and (2 , 3)

In these two points the x-coordinate are same. So, the distance between the points are given by the absolute value of difference between the y-coordinate.

  Distance = I -4-3 I = I -7I =  7 units

b) (-3,-2)  and  (-3,0)

In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.

     Distance = I-2 -0 I = I -2 I = 2 units

c) (1,4) and (-5,4)

In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.

Distance = I 1 - (-5) I = I 1 + 5 I = I 6 I = 6

d) (-2,0)  and (-3,0)

In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.

Distance = I -2 - (-3) I = I -2 + 3 I = I 1 I = 1 unit

e) (4,-6) and (4,-2)

In these two points the x-coordinate are same. So, the distance between the points are given by the absolute value of difference between the y-coordinate.

Distance = I -6 - (-2) I = I -6 + 2 I = I-4 I = 4 units

f) (5,1) and (1 , 1)

In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.

Distance= I5 - 1 I =  I 4 I  = 4 units

Taxes usually increase how much you pay from the purchase price.  To find the tax charged on the purchase, multiply the tax rate by the purchase.

$28.38 × 0.0825 = $2.34

The tax charged is $2.34

Answer:

Your answer is 128 oz

Step-by-step explanation:

1 Ounce = 0.0625 Pounds

pounds cancel and leave oz.
8 lb * 1 oz / 0.0625 lb = 128 oz

Answer:

128 oz

Step-by-step explanation:

1 lb = 16 oz

8 lb × 16

= 128 oz

y=1/2(0.25)^0-1. +2

y=1/2(0.25)^-1 +2

y=1/2*4+2

y=2+2

y=4

Step-by-step explanation:

set x to 0 to find y intercept

Find some points

x=1

x=2

As you did the graph already so I haven't attached it .

The Y intercept

Put x=0

Y intercept is 4

Answer:

35 square feet

Step-by-step explanation:

Area of the rug :

Answer:

the second i think i dont know for sure

The deans have a higher weighted mean score for business schools which is 3.8.

The weighted arithmetic mean is similar to the conventional arithmetic mean in that certain data points contribute more than others to the final average.

Weighed mean = (weightage x parameter)/no of parameters

The Weighted mean score for deans

= [(5×44)+(4×66)+(3×60)+(2×10)]/(44+66+60+10)

= 684/180

= 3.8

The Mean weigted score of recruiters

= [(5×31)+(4×34)+(3×43)+(2×12)]/(31+34+43+12)

= 444/120

= 3.7

Hence, The deans have a higher weighted mean score for business schools which is 3.8.

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[tex]\text{Slope-intercept form is y=mx+c, where m is the slope and c is the y-intercept.}\\ \\~~~~~-4x+2y = 16\\\\\implies 2y = 16+4x\\\\\implies y = \dfrac 12(16+4x)\\\\\implies y = 8 + 2x\\\\\implies y=2x +8\\\\\text{It is now in the slope-intercept form.}[/tex]

Answer

0.823742

Step-by-step explanation:

just a genius

[tex]~~~~~37^x = 12\\\\\implies \ln\left( 37^x \right) = \ln(12)\\\\\implies x \ln (37) = \ln(12)\\\\\implies x = \dfrac{\ln(12)}{\ln(37)}\\\\\implies x \approx 0.689[/tex]

Usual gradation standards

So inorder to make her wrong we need something less than B+ I e <70

Smallest score is 0 largest score is 70 .

Answer:

4.15×10⁵

10⁵=100,000

4.15×100,000=415,000

Answer:

4.15 * 10^5.

Step-by-step explanation:

There are 5 digits after the initial digit(4).

So it is:

4.15 * 10^5

Answer:

Step-by-step explanation:

Given :-

To find :-

Solution :-

The find area of sqaure firstly we need to find the length of each side of the sqaure.

We know that,

Perimeter of rectangle = 4 × side

→ 840 = 4 × side

→ 840/4 = side

→ 210 m = side

→ Area of rectangle = (Side)²

→ Area = (210)²

→ Area = 44,100 m²

Hey ! there

Answer:

Step-by-step explanation:

In this question we are provided with a square having perimeter of square 840 m . And we are asked to find the area of square .

For finding area of square we need to find the side of square . So , we are finding the side of square by assuming it as " x " metres and then equating it with given perimeter that is 840 m .

We know that ,

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

[tex] \qquad \quad \underline{\boxed{\frak{Perimeter_{(Square)} = 4 \times Side }}}[/tex]

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

SOLUTION : -

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

✼ Finding Side ,

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Substituting value of side as x in formula and equating it with 840 :

[tex] \quad \longmapsto \qquad \: 4 \times x = 840[/tex]

or ,

[tex] \quad \longmapsto \qquad \:4x = 840[/tex]

Dividing with 4 on both sides :

[tex] \quad \longmapsto \qquad \: \dfrac{ \cancel{4}x}{ \cancel{4}} = \cancel{ \dfrac{840}{4} }[/tex]

We get ,

[tex] \quad \longmapsto \qquad \: \underline{\boxed{\frak{x= 210 \: m}}}[/tex]

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

✼ Finding Area ,

‎ ‎ ‎ ‎ ‎ ‎ ‎

We know that ,

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

[tex] \: \qquad \: \qquad \: \underline{\boxed{\frak{Area_{(Square)} = Side {}^{2} }}}[/tex]

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Now , substituting value of side as 210 in formula :

[tex] \quad \dashrightarrow \qquad \: (210) {}^{2} [/tex]

or ,

[tex] \quad \dashrightarrow \qquad \:210 \times 210[/tex]

Multiplying 210 two times , We get :

[tex] \quad \dashrightarrow \qquad \:\blue{\underline{\boxed{\frak{44100 \: m {}^{2} }}}} \quad \bigstar[/tex]

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Answer:

C) 75.36 cubic feet

Step-by-step explanation:

Volume of a cone: ⅓hπr²

Given:

Substitute the given values to find the volume:

V = (⅓)(8)(3.14)(3)²

V = (⅓)(8)(3.14)(9)

V = (⅓)(226.08)

V = 75.4 ft³ (nearest tenth)

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