What function is the inverse of the exponential function y = (1.5)x?

Answer:

This shaded region is consisted of 2 shapes: a right triangle and a semi-circle. To find the overall area, we must first find the are of the 2 shapes and add them together.

Step-by-step explanation:

1. Find the area of the right triangle:

a = 14, b = 2r = 8cm

A1 = ab/2 = 112/2 = 56cm²

2. Find the area of the circle:

r = 4 cm

A2 = πr² = 3.14 × 4² = 50.24cm²

3. Divide the area of the circle to get the area of the semi-circle:

A3 = A2/2 = 50.24/2 = 25.12cm²

4. Add the areas of the right triangle and the semi-circle together:

A1 + A3 = 56 + 25.12 = 81.12cm²

I think you selected the right answer

Answer:

4/11 is already simplified as much as it can be in fraction form. as a percent its 36.3636%

Step-by-step explanation:

The simplified expression of 4/11 is 4/11

From the question, we have the following parameters that can be used in our computation:

4/11

This means that we divide 4 by 11

So, we have the following representation

4/11

In the above, we have

The numerator 4 is less than the denominator 11

This means that the expression is already simplified

Hence, the simplified expression is 4/11

Read more about expressions at

brainly.com/question/30492964

#SPJ6

Answer:

C is a function

Step-by-step explanation:

For every input in a relation, there should only exist one unique output. For example, in option A, the input 1 has 3 outputs which does not make it a function since they all have to be unique. Additionally, B and D aren't functions for the same reasons. Therefore, C is a function.

Answer:

628.32 or 628.31853071796

Step-by-step explanation:

V=πr²h or Volume equals pi r squared times h

V=pi*10²*2

Answer:

1.) The 1ˢᵗ three term is (-32), (-7) and 18

2.) The 1ˢᵗ three term is 127, 106 and 85

Step-by-step explanation:

Here,

First Term = a₁ = - 32

Common Difference = (d) = 25

Now, For 1ˢᵗ three term,

n = 1

a₁ = - 32

n = 2

aₙ = a + (n - 1)d

a₂ = (-32) + (2 - 1) × 25

a₂ = (-32) + 1 × 25

a₂ = (-32) + 25

a₂ = -7

n = 3

aₙ = a + (n - 1)d

a₃ = (-32) + (3 - 1) × 25

a₃ = (-32) + 2 × 25

a₃ = (-32) + 50

a₃ = 18

Thus, The 1ˢᵗ three term is (-32), (-7) and 18

Here,

First Term = a₁ = 127

Common Difference = (d) = -21

Now, For 1ˢᵗ three term,

n = 1

a₁ = 127

n = 2

aₙ = a + (n - 1)d

a₂ = 127 + (2 - 1) × (-21)

a₂ = 127 + 1 × (-21)

a₂ = 127 - 21

a₂ = 106

n = 3

aₙ = a + (n - 1)d

a₃ = 127 + (3 - 1) × (-21)

a₃ = 127 + 2 × (-21)

a₃ = 127 - 42

a₃ = 85

Thus, The 1ˢᵗ three term is 127, 106 and 85

-TheUnknownScientist

Answer:

57?

Step-by-step explanation:

I'M NPT SURE IF IT'S CORRECT but I added them both and subtracted 180

Answer:

the angles sum of a isosceles triangle is 180 degrees so you can have..

Step-by-step explanation:

75 and 75

100 and 50

uhhhh i think theres more but someone else can list them :)

Answer:

d

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Deer = snow flake = 4

4 + 4 + 4 = 12

Dear - 3 = 1

Snowman = 1

Tree = 8

8 + 1 (snowman) + 8 = 17

Answer:

5ft

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Volume = 25π ft cubed

Depth = 3 ft

So, we can calculate the radius by using following formula,

V = 1/3 ×π ×radius squared×depth

25π = 1/3×π×radius squared ×3

Radius squared = 25

Radius = √25

Radius = 5 ft

Hence the radius of the hole is 5 ft.

Answer:

A

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AC}{DF}[/tex] = [tex]\frac{BC}{EF}[/tex] , substitute values

[tex]\frac{45}{x+8}[/tex] = [tex]\frac{30}{25}[/tex] ( cross- multiply )

30(x + 8) = 1125 ( divide both sides by 30 )

x + 8 = 37.5 ( subtract 8 from both sides )

x = 29.5 → A

Answer:

Here are my answers

hope this helps

Step-by-step explanation:

1. isosceles triangle

2.   3x + 15 = 90       x = 25

     x + 25 = 90        x = 65

     x + 55 = 90        x = 35

3. The size for DAB is 84

My reasoning is I went from one angle to another by subtracting 180 from my answers. For example angle 132 is supplementary to the missing angle next to it. I subtract 180 from 132 and get 48. That already solves the 2 equivalent angles in the triangle so I have 48+48+x = 180 because a full triangle equals 180. I get x = 84 then I do the same thing I did with angle 132. Angle 84 is supplementary to the missing angle next to it. I subtract 84 from 180 and get 96 then go diagonal from angle C (which is 96) to angle A. Those are supplementary so I subtract 96 from 180 and get 84.

Answer:

3a

Step-by-step explanation:

What we have as the point O refers to the centroid of the triangle

The centroid splits the distance between the opposite vertex and the middle of the side length that faces it into two; with the longer side being twice the length of the shorter

So what we have here is that;

B1O is half the length of BO

So, if B1O is a cm, BO would be 2a

So we have the entire side length measure as;

a + 2a = 3a

Answer: The answer is the 3rd option.... if not then it’s the fourth! They both seem correct!

Step-by-step explanation:

answer:

d) pick every 10th student who is listed on the student role for the school **you chose the correct answer**

step-by-step explanation:

'd' is the correct answer because it's the best way to survey the most amount of students

:)

!

Answer:

Store B has more expensive lawn mowers.

Step-by-step explanation:

The median price is the price in the middle of the possible prices which means that if you double the median price you will get about what the highest price can be.

What can be inferred from the data is store B has more expensive lawn mowers.

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order. Median is a measure of central tendency.  For example 3 is the median in this dataset: 1, 3, 6

To learn more about median, please check: https://brainly.com/question/14746682

Answer:

B)

Step-by-step explanation:

slope = 1/2(rise/run)

Answer:

y = -1/3x + 5

Step-by-step explanation:

y = -1/3x + b

3 = -1/3(6) + b

3 = -2 + b

b = 5

=======================================================

Explanation:

As you can probably guess, the first equation [tex]a_1 = 3[/tex] says that the first term is 3. The small '1' indicates "first term". So writing [tex]a_2[/tex] represents the second term, then [tex]a_3[/tex] is notation for the third term, and so on.

The second term is found by plugging in n = 2 into the second equation and computing to get...

[tex]a_n = 4*a_{n-1} + 2\\\\a_2 = 4*a_{2-1} + 2\\\\a_2 = 4*a_{1} + 2\\\\a_2 = 4*3 + 2\\\\a_2 = 12 + 2\\\\a_2 = 14\\\\[/tex]

The second term is 14. The steps above basically say: "to get the second term, we multiply the first term by 4, then add on 2"

In other words,

second term = 4*(first term) + 2

second term = 4*(3) + 2

second term = 12 + 2

second term = 14

-----

This can be extended to get the third term

third term = 4*(second term) + 2

third term = 4*(14) + 2

third term = 56 + 2

third term = 58

and finally,

fourth term = 4*(third term) + 2

fourth term = 4*(58) + 2

fourth term = 232 + 2

fourth term = 234

Answer: 7ft

Step-by-step explanation:

Rectangular Prism = L x W x H

135H = 945

H = 7 ft

Answer:

250[tex]\leq[/tex]5s+8ns

Step-by-step explanation:

the total fees are $250, meaning they would still be able to make the fees if they'd oversell the tickets.

each tickets is $5 for students; hence the s

each tickets is $8 for nonstudents; hence the ns

you may replace the variable with anything you'd like or what fits the direction.

The inequality describes the number of student and non student tickets that to be sold for the drama class to be able to pay the fees will be 5x+8y≥250

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, The total fees for the high school play are $250. Tickets to the play cost $5 for students and $8 for non students.

Let the cost of students be x and that of non student's be y.

According to question,

5x+8y≥ 250

Hence, The inequality describes the number of student and non student tickets that to be sold for the drama class to be able to pay the fees will be 5x+8y≥250

For more references on inequality, click;

https://brainly.com/question/28823603

#SPJ2

Answer: [tex]80.2\ ft[/tex]

Step-by-step explanation:

Given

Zipline begins [tex]h=46\ ft[/tex] in the air

The angle of elevation is [tex]35^{\circ}[/tex]

Assume the length of the cable is l

from the figure, we can write

[tex]\Rightarrow \sin 35^{\circ}=\dfrac{46}{l}\\\\\Rightarrow l=\dfrac{46}{\sin 35^{\circ}}\\\\\Rightarrow l=80.19\approx 80.2\ ft[/tex]

Answer:

n+7.6=13.82

n=13.82-7.6

n=6.22

Step-by-step explanation:

simple subtraction

Answer:

a) = -8

b) 1 - (-7) = 8

b) -7 - 1 = -8

c) for both they are still the same answer so  

[1- (-7)] = 8

[-7 - 1] = -8

I'm pretty sure these are the answers hope this helped

Step-by-step explanation:

We have to pay $0.63 sales tax if the rate is 6%.

What is the sales tax?

Sales tax is a tax that is added to the price of goods or services when they are sold. It is typically a percentage of the purchase price and is collected by the seller from the buyer.

In this case, the price of the bucket of popcorn is $8.00 and the price of the soda is $2.50. If the sales tax rate is 6%, the total amount of sales tax paid on the popcorn would be $8.00 x 6/100 = $0.48 and on soda is $2.50 x 6/100 = $0.15. So the total amount of sales tax paid on both items is $0.48 + $0.15 = $0.63

Hence, we have to pay $0.63 sales tax if the rate is 6%.

To learn more about sales tax, visit:

https://brainly.com/question/1700984

#SPJ1