evaluate this equation ​

Answer:

4y⁷x²

Step-by-step explanation:

    Prime factorize each expression.

28y⁷x² = 2 * 2 * 7 * y⁷ * x²

8y⁸v⁴x⁶ = 2 * 2 * 2 * y⁸ * v⁴ * x⁶

GCF = 2 * 2 *y⁷*x²

        = 4y⁷x²

Answer:

(4, 4)

Step-by-step explanation:

This is the form of a hyperbola. Use this form to determine the values used to find vertices and asymptotes of the hyperbola.

[tex]\frac{(x-h)^2}{a^2} - \frac{(y-k)^2}{b^2} = 1[/tex]

Match the values in this hyperbola to those of the standard form. The variable h represents the x-offset from the origin, k represents the y-offset from origin, a.

a = 1

b = 3

k = 4

h = 4

Thus,

[tex](x-4)^2 - \frac{(y-4)^2}{9} = 1[/tex]

The center of a hyperbola follows the form of (h, k). Substitute in the values of h and k.

= (4, 4)

The sequence of transformations will be relection and dilation. Then the correct option is A.

A spatial transformation is each mapping of feature shapes to itself and it maintains some spatial correlation between figures.

The sequence of transformations would yield a trapezoid similar to the original trapezoid but not congruent.

Reflection does not change the size and shape of the geometry.

Rotation does not change the size and shape of the geometry.

Translation does not change the size and shape of the geometry.

Dilation does not change the shape but changes the size of the geometry.

Then the correct option is A.

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Answer:

[tex]a_{n}[/tex] = 100n - 78

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

given a₁₄ = 1322 and a₃₈ = 3722 , then

a₁ + 13d = 1322 → (1)

a₁ + 37d = 3722 → (2)

subtract (1) from (2) term by term to eliminate a₁

24d = 2400 ( divide both sides by 24 )

d = 100

substitute d = 100 into either of the 2 equations and solve for a₁

substituting into (1)

a₁ + 13(100) = 1322

a₁ + 1300 = 1322 ( subtract 1300 from both sides )

a₁ = 22

then nth term formula is

[tex]a_{n}[/tex] = 22 + 100(n - 1) = 22 + 100n - 100 = 100n - 78

Answer:

5 terms

Step-by-step explanation:

The numbers will be 3, 4 1/2, 6, 7 1/2, and 9.

The angle at which the man should observe is 45 degrees.

Given :

height of man = 1.5m

height of tower = 81.5 m

distance between tower and man = 80 m

Since, ABCD is a rectangle, AD = BC = 80m

Similarly, AB = CD = 1.5m

EC = ED + CD

81.5 = ED + 1.5

ED = 80m

Now, in order to find the angle EAD, we use trigonometric functions,

tan ∅ = perpendicular / base = ED / AD

tan ∅ = 80 /80 = 1

∅ = [tex]tan^{-1} (1)[/tex]

∅ = 45°.

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The average monthly temperature of a city can be modeled by a cosine graph, Melissa should focus on the Midline. This is further explained below.

Generally, The average temperature would be indicated somewhere along the curve, most likely near the middle.

In conclusion, Melissa should concentrate on the Midline, which can be used to model the average monthly temperature of a city.

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Answer:

72

Step-by-step explanation:

I got to get some bread for you guys

Answer:

I'll do it the answer is truthfully 72 if you don't think go check my page

The estimate of the amount carly needs to deposit into the savings account per month over the next 3 years to be able to pay for her first year of college is $250

12,000 = 2900 + 36x

12,000 - 2900 = 36x

9,100 = 36x

x = 9100 / 36

x = 252.777777777777

Approximately,

$250

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Answer:

The answer is B. $250

Step-by-step explanation:

In square, all angles are of 90°, but in rhombus, opposite angles are equal, but adjacent angles are not equal. Kyle's claim is Incorrect.

It is a polygon with four sides. The total interior angle is 360 degrees.

Kyle claimed that the given quadrilaterals are similar because the ratio of their corresponding sides is equal.

Kyle's claim is Incorrect. Because the shapes are square and rhombus.

In square, all angles are of 90°, but in rhombus, opposite angles are equal, but adjacent angles are not equal.

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the transformations used are:

We start with the function:

[tex]f(x) = 2^x[/tex]

And we have the transformed function:

[tex]g(x) = 5*2^{x-2} + 3[/tex]

Bow, let's start with the original function f(x). If first we apply a vertical dilation of scale factor 5, then we have:

g(x) = 5*f(x).

Then we apply a shift of 2 units to the right, so we have:

g(x) = 5*f(x - 2)

Then we apply a shift of 3 units up, so we have:

g(x) = 5*f(x - 2) + 3

Replacing f(x) by the actual function:

[tex]g(x) = 5*2^{x-2} + 3[/tex]

Then the transformations used are:

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Answer:

R

H

S

=  cos

2

x

Step-by-step explanation:

Hope this helped!

Step-by-step explanation:

as the following pic answer should be × -2

Answer:

O -2(x+y=8)

Step-by-step explanation:

If you put the problems beside each other, they look like this;

2x + 5y = 24

  x + y = 8

So you are trying to find a way to simplify the x's

Step 1;

See if there are any numbers that you could multiply to the bottom problem that would help you get rid of the x specifically.

In this case, -2 would cancel out that other 2 right? Because if you added them, they cancel each other out; 2 -2 = 0

Step 2:

if you multiply, you have to do it to the entire problem;

-2(x + y = 8)    (-2 times x, -2 times y, -2 times 8)

-2x + -2y = -16

Step 3:

Go back to your original problem and work it out;

2x + 5y = 24

-2x + -2y = -16

2x and -2x cancel each other out so now you only have;

5y = 24

-2y = -16

Step 4:

Combine like terms;

5y = 24

-2y = -16

3y = 8

Divide by 3

y = 2.6

They are both factors of 15x-10 because 5(3x-2)=15x-10

factor x factor=product.

In this case 15x-10 is the product

Answer:

Step-by-step explanation:

Log x=4 ➡️ e⁴=x or x= e⁴

Hope it helps

Answer:

0.7855 square feet

Step-by-step explanation:

90/360×3.142×1 squared

=0.7855

Answer:

62m^2

Step-by-step explanation:

From the figure above, we have two rectangles

For one rectangle,

Lenghts= 7m

Width = 6m

Area = lenght× width = 7×6= 42m^2

For the sect rectangle

Lenght = 5cm

Width = 4cm

Area = 5×4 = 20cm^2

Area of jack patio = 42+20= 62m^2

The function S to represent the sequence of transformations applied to the point (x, y) is  (-y, -x - 6)

Transformation is a technique used to change the position of an object on an xy-plane.

Given the coordinate (x, y)

Rotation of the coordinate by 180° clockwise about the origin will given;

(x, y) - > (-x, -y)

If the result is translated 6 units to the left, then;

(-x, -y) -> (-x-6, -y)

If it is then reflected across the line y = x, we will switch the coordinates to have:

(-x-6, -y) -> (-y, -x - 6)

The function S to represent the sequence of transformations applied to the point (x, y) is  (-y, -x - 6)

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Answer:

12

Step-by-step explanation:

Answer:

It is located to the right of the 0 on the line,

Step-by-step explanation:

the numbers are increasing going from left to right. 1.84 is located 1.84 from 0.

The values of x are (4+k)/2 and 10. The value of the variable x in terms of y is x = y -4

These are equations that contains several equations and unknowns.

Given the following system of equation

x+y=4

x-y=k

Add both equation

x + x = 4 + k

2x = 4+k

x = (4+k)/2

For the equation  

x+y-z=8  

x-y+z=12

Add both equations

2x = 8 + 12

2x = 20

x = 10

The value of x from the equation is 10

Given the equations

x=3b

y = 2/6b+4,

______________

b = x/3

Substitute

y = 2/6(x/3)+4

y = x + 4

x = y - 4

Hence the value of the variable x in terms of y is x = y -4

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Answer:

sin C = cos A

Step-by-step explanation:

sinC = opp/hyp

=12/13

cosA = adj/hyp

12/13

Answer: C, {(1, -4), (4, -1)}

Step-by-step explanation: Where the two graphs meet are their solutions, and the points where they meet are {(1, -4),(4,-1)}.

a)

We know that a 4-sided polygon's angles add up to 360 degrees

so to find x:

360-(69+118+84)=89 degrees

b)

For a 4-sided polygon we also know that the outside angles add up to 360 degree.

so to find p:

360-(100+62+106)=92 degrees

Hope it helps!

The half life in days is  1924.0245 days.

Half life is the time taken for the radioactivity of a substance to fall to half its original value.

Given:

N= 8

N[tex]_0[/tex]= initial mass

t= in days

So, N= [tex]N_0e^{-kt}[/tex]

Putting the values we get

half value = 5.2713 years or 1924.0245 days

Hence, the half-life is 1924.0245 days.

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Step-by-step explanation:

Let the area of rectangle with given points are as follows :

A(-3,3)

B(3,2)

C(4,-1) = C( x1,y1)

D(-2,-3) = D( x2, y2)

Now,

(x2-x)^2 +( y2 - y1)^2

= root under (-2-4)^2 + ( -3+1)^2

= root under (-6)^2 + (-2)^2

= root under 36 + 4

= root under 40

= 2root 10

Therefore; the unit number if CD is 2 root 10.

Answer:

c

Step-by-step explanation:

week 4 = 11

start = 3

11 - 3 = 8

answer is c

The correct Answer is: C. 8 inches

Step-by-step explanation:

If the plant started out at 3 inches and finished after 4 weeks at 11 inches, we can do 11-3 to find how much growth the pepper plant had.

11 - 3 = 8, therefore our answer is

C. 8 inches