The top edge of the window is a semicircle. The distance across the window is 2.5 ft. What is the distance around the top edge of the window? Use 3.14 for π, and round your answer to the nearest tenth.

2.5 ft
3.9 ft
5 ft
7.85 ft

Answer:

a=6

b=-2

Step-by-step explanation:

You can use the hint provided on the mathswatch question page, I've attached it below

step 1

h(4) = ax+b = (ax4)+b = 4a+b

it is given in the question that h(4)=22, therefore 4a+b=22

step 2

work out the equation for inverse g

g^-1(x) = [tex]\frac{x-2}{3}[/tex]

step 3

input 14 into the equation in place of x to find g^-1(x)

[tex]\frac{x-2}{3} =\frac{14-2}{3} =\frac{12}{3} =4[/tex]

so, g(x)^-1=4

step 4

find h(1):

h(1) = (ax1)+b = a+b

so, h(1)=a+b

step 5

a+b=4 (as it is given in the question that g^-1(14) is equal to h(1))

step 6

Now you have two simultaneous equations:

4a+b=22

a+b=4

then, solve for a:

4a+b=22

- a+b=4  

3a=18

a=6

then, input answer for a into either equation (I've gone with the a+b=4 equation):

6+b=4

-6   - 6

b=-2

(p.s i know this is very late but hope it helps someone)

Answer:

the GCF is 3x^3

Step-by-step explanation:

Identifying the greatest common factor of an expression like this one involves finding the GCF of each term  when the terms are placed side by side:  the GCF of -15x^3 and 6x^4 is 3x^3, because 3 and x^3 are the largest factors of their type (constant, power of x) that will divide evenly into -15x^3 and 6x^4.

The end result is 3x^3(-5, 2x).  Once again, the GCF is 3x^3.

What are the options???

Answer:

20.5

Step-by-step explanation:

AB= Sqare root of 15^2 + 14^2

USe pythagoras' theorum

c is the answer

Answer:

Step-by-step explanation:

Answer:

By cross multiplication

x = 5 × 30

x = 150.

150/5 = 30

30 = 30

Hence, the value of x is 30 units.

[tex][/tex]

Answer:

iiiiiiii want to beeeeeee ninjaaaaaaa

Step-by-step explanation:

Answer:

That is not a true equation because 2x + 7y +10 has no value.

Answer:

4.116 × 10^8 = 411,600,000

Step-by-step explanation:

i just put it in the calculator dont get mad at me

Answer:

The loan will be paid after 39 monthly installments.

Step-by-step explanation:

Since I am paying off a student loan in monthly installments, and after the 4th payment the remaining balance is $ 13,900, while after the 5th payment my remaining balance is $ 13,500, to determine the amount of payments in which the loan was agreed I must perform the following calculation:

13900 - 13500 = 400

400 x 5 = 2000

2000 + 13500 = 15500

15500/400 = 38.75

Thus, the loan will be paid after 39 monthly installments.

Answer:

y = 5 - ×

Step-by-step explanation:

I guessed but the numbers work

Answer: 21

Step-by-step explanation: 21 + 21 = 21

Answer: 11

Students have both a brother and a sister

Step-by-step explanation:

I don't think probability should be used for this question because the answer is quite clear

So in a class of 25 students

5 students don't have a sibling

So 25-5=20

Total number of siblings=14+17=31 siblings in total

So 20 people have 31 siblings

31-20=11

So the answer should be 11

In a class of 25 students, 14 have a brother and 17 have a sister. There are 5 students who do not have any siblings. The probability that a student who has a brother also has a sister is 11/25.

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events that belong to E, and total cases are the size of the sample space.

In a class of 25 students, 14 have a brother and 17 have a sister. There are 5 students who do not have any siblings.

So in a class of 25 students

5 students don't have a sibling

then, 25-5=20

Total number of siblings = 14+17

= 31 siblings in total

So, 20 people have 31 siblings

= 31 - 20

= 11

So, the probability that a student who has a brother also has a sister

= 11/ 25.

Learn more about probability here:

brainly.com/question/1210781

#SPJ2

Answer:

57.6

Step-by-step explanation:

Parallel lines cut by transversals have proportional segments.

25/30 = 48/x

25x = 30 * 48

25x = 1440

x = 57.6

Answer:

y = 4x-2

Step-by-step explanation:

y = mx+b

y = 4x+b

y = 4x-2

Answer:

Each side is 25 square centimeters

Step-by-step explanation:

100 divided by 4 is 25

Answer:

Step-by-step explanation:

H

Answer:

225 x 0.15 = 33.75 profit

Step-by-step explanation:

Answer:

Profit:  Rs 33.75

Step-by-step explanation:

His profit was 15% of Rs 225, which comes to 0.15(Rs 225), or Rs 33.75

Answer:

80 dollars and 50 cents.

Step-by-step explanation:

youd first multiply 70 by .15 which would equal 10.5. then add the 70 and 10.5 together. then you get your answer. so the expression youd want to use would be "x=70×.15"

Answer:

6

Step-by-step explanation:

105 is a composite number (not prime).  If you decompose 105 into its prime factors (see attached image), you get 105 = 3 x 5 x 7.  This means that the product 105 can only be written this way; any other way, for example 15 x 7 would not use numbers that are single digits.

The question boils down to how many ways the digits 3, 5, 7 can be arranged, using each digit exactly once.

That's a permutation problem, and it can be answered easily by thinking this way:  given the digits 3, 5, 7, there are 3 choices for the first digit, then 2 for the second digit (for EACH of the first choices), then only 1 choice for the final digit.

3 x 2 x 1 = 6 ways that 3, 5, 7 can be arranged to make a 3-digit number.  Here they are:

357, 375, 537, 573, 735, 753

Answer:

I think its $1,913.34

Step-by-step explanation:

7.25 + 100 = 107.25 divided by 100 = 1.0725 x 1784 = 1913.34

Answer: either I don't understand the question or its 72% and I'm fairly certain its 72%

Answer:

Area≈197.974≈198

Step-by-step explanation:

delta math

Q: How might doing math slowly help with problems that are difficult to understand or hard to solve?

A: It calms you down. When you are stressed, you are most likely to get it wrong because you are panicking. This also helps because you can read the problem correctly and make sure you are doing it right, because in math, If you get 1 small thing wrong, you usually get the entire thing wrong.

I hope this helped!

~flipohrama

Answer:

x = 4

Step-by-step explanation:

1. Write the equation

3/4x = 2x - 5

2. Get the variables on the same side

Let's subtract 2x! Now, since math is a veryyy jealous subject, you're going to do it on the other side too!

-1.25x = -5

3. Divide both sides by -1.25

x = 4

Thank you for the points!!!

Answer:

a) (4x® - 5x + 15) - (11 - 7x - 2x)

b)(9x- 6x® - 7x-2) + (10x - 8x + 11)

Step-by-step explanation:

a) (4x® - 5x + 15) - (11 - 7x - 2x)

b)(9x- 6x® - 7x-2) + (10x - 8x + 11)

Answer:

D.

Step-by-step explanation:

[tex]7(6x + 2) + 5x \\ 42x + 5x + 14 \\ 47x + 14[/tex]

Answer:

112

Step-by-step explanation:

8x+10=90

8x=80

x=10

180-90-(3x+4)=90-34=56

56×2=112