These two figures are similar. Find the length of side x

required transformed function will be y = parent function+5⇒y=logx+5.

Since, given function y= logx

According to the graph, the transformed function is getting after shifting  the function by 5 unit upward.

Thus, transformed function must be equals to parent function+5.

Therefore, required transformed function will be y = parent function+5⇒y=logx+5.

How to do logarithmic transformations?

Image result for How do you graph log functions with transformations?

Recall the general form of a logarithmic function is: f ( x ) = k + a log b ⁡ where a, b, k, and h are real numbers such that b is a positive number ≠ 1, and x - h > 0. A logarithmic function is transformed into the equation: f ( x ) = 4 + 3 log ⁡

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Answer:

A) 25 feet

Step-by-step explanation:

A sculptor uses the scale of 3 inches to represent 15 feet. Find the amount of feet represented by 1 inch by simply dividing 15 with 3:

15/3 = 5

1 inch represents 5 feet.

Next, it is given that the model of the airplane is 5 inches long. Multiply 5 inches with 5 feet to get the total measurement of the original airplane:

5 x 5 = 25 feet.

5 inches represent 25 feet.

A) 25 feet is our answer.

~

Answer:

it will be 15 dollars kkkkkkkkkkkkk

Answer:

$15.00

Step-by-step explanation:

An adult ticket is $7.50

A child ticket is half the Price.

So a mom takes Two kids, Which means 7.50/2 which is then 3.75

So for 1 kid— 3.75

Adult - 7.50

The mom takes two kids.

Multiply 3.75 and 2.

You get 7.50.

Add the adult and child tickets, and you would then get $ 15.00

Have wonderful Day!

The length of y using sine rule is 6664.2 inches

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

in this case w/sinW = y/sinY

Y = 180-(55+42)

Y = 180-(97)

Y = 83°

Therefore 470/sin55 = y/sin83

470× sin83 = y sin55

= 466.50 = 0.707y

divide both sides by 0.707

y = 466.50/0.707

y = 6664.2 inches

therefore the length of y is 6664.2 inches

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Answer:

1/216

Step-by-step explanation:

There are 6 sides in a die, and one of those sides is a two.

So, the probability of rolling a two is 1/6.

To find the probability of rolling a two each time, multiply 1/6 by itself three times.

1/6 · 1/6 · 1/6

= 1/216

So, the probability is 1/216

Step-by-step explanation:

it means that the graph of the function above y=x must be the mirrored image of the graph under y=x.

it means that the function applied to itself gives x.

f(f(x)) = x

e.g.

f(x) = 5 - x

f(f(x)) = 5 - (5 - x) = 5 - 5 + x = x

so, this f(x) is its own inverse.

Answer:

slope is 2 ,, y intercept is 5

Step-by-step explanation:

y=mx+c

m represents slope

c represents y intercept

The spring constant is 30 N/m and the stretch when the 420 N force is applied is 14 cm.

The force needed or applied to compress or extend a spring on any attached object is known as the spring force.

A spring exerts an equal and opposite force on an object when the object exerts a force on it. It always takes action to get mass back to where it should be for equilibrium. 

Given that when 180 N force is applied the spring stretched by 6 cm. The spring stretch when the 420 N force is applied is calculated as,

First, calculate the spring constant,

F = kx

180 = k x 6

k = 30 N / m

Calculate the deformation,

x = F / k

x = 420 / 30

x = 14 cm

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Answer:

B. -5/2

Step-by-step explanation:

(0, -7) and (-4, 3)

m = 3+7/-4-0

m = 10/-4

m = -10/4

m = -5/2

Answer:

b

Step-by-step explanation:

Answer:

3/10 m^2

Step-by-step explanation:

To find the area of the rectangle

A = l*w

  = 2/5 * 3/4

   =6/20

Divide the top and bottom by 2

  = 3/10 m^2

Answer:

As a decimal it would be 0.3 but as a faction it would be 3/10

Step-by-step explanation:

2/5 times 3/4 = 0.3 or 3/10

Given:

Sharla's batting average is 0.583.

To find:

The fraction form of the Sharla's batting average.

Solution:

It is given that Sharla's batting average is 0.583. So, it can be written as:

[tex]0.583=0.583\times \dfrac{1000}{1000}[/tex]

[tex]0.583=\dfrac{583}{1000}[/tex]

This fraction can not be simplified further because there is no common factor of 583 and 1000.

Therefore, the fraction form of the Sharla's batting average is [tex]\dfrac{583}{1000}[/tex].

Answer:

u sus imposter

Step-by-step explanation:

Answer:

That's an acute angle.......

wow i dont know. i hope you figure the answer

Answer: The answer is A and b, the person above me is wrong

Step-by-step explanation: Hope y'all stay safe and healthy! ^^

Answer:

56 + 24y

Step-by-step explanation:

8(7 + 3y) = 56 + 24y

Because

8 * 7 = 56

8 * 3y = 24y

Answer:

Answer:

P(x) = -5(x² - 12)² + 405

Step-by-step explanation:

P(x) = -5x² + 120x - 315

Factor out -5 from the first two terms

P(x) = -5(x² - 24x) - 315

Complete the square

P(x) = -5(x - 12)² - (-5(-12)²) -315

P(x) = -5(x - 12)² + 720 - 315

P(x) = -5(x - 12)² + 405

Answer:

please join my meeting

Answer:

transitive

.......gguf

Answer:

x ≈ 18.6

Step-by-step explanation:

using the tangent ratio in the right triangle

tan37° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{14}{x}[/tex] ( multiply both sides by x )

x × tan37° = 14 ( divide both sides by tan37° )

x = [tex]\frac{14}{tan37}[/tex] ≈ 18.6 ( to the nearest tenth )

Answer: i believe that the answer is B :)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We can either use the graph or the chart.

For this question it'll be easier to use the graph.

First find the y-intercept (that were your line meet the y-axis)

y = 4

Then find the slope ([tex]\frac{rise}{run} = \frac{2}{1} = 2[/tex])

Slope = 2

Then plug them into the equation: y = mx + b

m = slope = 2

b = y-intercept = 4

y = 2x + 4

Therefore, the answer is A

The degree of a polynomial is the highest power of each variable in the equation. In the polynomial 7x2y3z4, the highest power of each variable is 2 for x, 3 for y, and 4 for z. Therefore, the degree of this polynomial is 8.

1. Identify the highest power of each variable.

For 7x2y3z4, the highest power of each variable is 2 for x, 3 for y, and 4 for z.

2. Add the highest powers of each variable.

2 + 3 + 4 = 9

3. Subtract 1 from the sum.

9 - 1 = 8

4. The degree of the polynomial is the result of the subtraction.

Therefore, the degree of the polynomial 7x2y3z4 is 8.

The degree of a polynomial is the highest power of each variable in the equation. To calculate the degree of a polynomial, you must identify the highest power of each variable and add them together. Then, subtract 1 from the sum to get the degree of the polynomial. For example, in the polynomial 7x2y3z4, the highest power of each variable is 2 for x, 3 for y, and 4 for z. Adding these powers together gives us 9. Subtracting 1 from this sum gives us 8, which is the degree of the polynomial. Therefore, the degree of the polynomial 7x2y3z4 is 8.

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You can rearrange terms in an expression using the commutative and associative qualities to arrange compatible numbers next to one another and in groups.

According to the associative property, numbers can be added to or multiplied while still maintaining the same result. According to the commutative property, even if the numbers are added or multiplied, the solution will remain the same.

Explain:

[tex]\frac{4}{5}[/tex] ×(20×17/8)

20×17/8

340÷8

[tex]\frac{4}{5}[/tex]×[tex]\frac{340}{8}[/tex]

= [tex]\frac{64}{2}[/tex]

= 32

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Answer:

17.7 feet

Step-by-step explanation:

law of sines:

x = length of slide

base of slide forms a 90 degree angle with the ground

to find the number of degrees in the third angle, subtract 115 from 180

sin 65°/16 = sin 90°/x

16 = sin 65°(x)

x = 16/(sin 65°) ≈ 17.7 feet

Answer:

  $16,755

Step-by-step explanation:

You want the difference in interest earned on $66,000 after 19 years between an account earning 6 3/8% compounded annually, and one earning 5 3/4% compounded continuously.

The formula for the account value multiplier when interest is compounded annually is ...

  k = (1 +r)^t . . . . . . compounded annually at rate r for t years

When interest is compounded continuously, the multiplier is ...

  k = e^(rt)

The difference in account values between the two rates is ...

  ∆value = $66,000·(1 +0.06375)^19 -e^(0.0575·19))

  ∆value ≈ $16,754.70

Benjamin will have about $16,755 more than Christian after 19 years.

Answer:

a.  The total cost of fixing the drain is $198

b. The plumber spend 13 hours fixing the drain

Step-by-step explanation:

We know the equation is

C=25h+73

C = the total cost

h = the number of hours

Let's solve question a by putting 5 in for h

C=25(5)+73

C = 125 + 73

C = $198

So, the total cost of fixing the drain is $198

Let's solve question b by butting 398 in for c

398=25h+73

325 = 25h

h = 13 hours

So, the plumber spend 13 hours fixing the drain

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Answer:

A.)

B.)

The total area of the two rectangles is given by the equation A = 33 units²

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the total area of the 2 rectangles be A

Now , each grid square represents = 1 square unit

Now , let the first rectangle be represented as P

The length of P = 4 grid squares

The width of P = 3 grid squares

Let the second rectangle be represented as Q

The length of Q = 7 grid squares

The width of Q = 3 grid squares

So , Area of Rectangle = Length x Width

The area of rectangle P = 4 x 3

The area of rectangle P = 12 units²

The area of rectangle Q = 7 x 3

The area of rectangle Q = 21 units²

So , the total area of figure A = area of P + area of Q

On simplifying the equation , we get

Total area of figure A = 12 units² + 21 units²

Total area of figure A = 33 units²

Therefore , the value of A is 33 units²

Hence , the area is 33 units²

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Answer:

62 candies can fit into each box

Step-by-step explanation:

We know

A small box can hold 94.24 g of candy

Each candy has a mass of 1.52 g

How many candies can fit into each box?​

To find it we take

94.24 divided 1.52 = 62 candies

So, 62 candies can fit into each box

Complete question :

Cari owns a horse farm and a horse trailer that can transport up to 8000 pounds of livestock and take she travles with 5 horses whose combined weight is 6240

Let t represent the average weight of tack per horse, which of the following inequalities could be used to determine the weight of the tack cari can allow for each horse

Answer:

t ≤ 352

Step-by-step explanation:

Maximum allowable weight (tack and horse) = 8000 pounds

Combined weight of 5 horses = 6240

Let average weight of tack per horse = t

Average weight of tack for the 5 horses = 5t

Hence, weight of tack + weight of horse ≤ 8000

5t + 6240 ≤ 8000

5t ≤ 8000 - 6240

5t ≤ 1760

t ≤ 352