What is the arclength of PQ

Answer:

x = 3, y = 0

Step-by-step explanation:

2x - 2y = 6

x - y = 3

x = 3 + y

3(3 + y) + 2y = 9

9 + 3y + 2y = 9

5y = 0

y = 0

x = 3 + 0

x = 3

Answer: B. d - 0.2

Step-by-step explanation: 20%= 20/100= 0.2

Which means = d-0.2

Hope this helped.

Answer:

B: d- 0.2

Step-by-step explanation:

Answer:

2/7x +3=9

x=21

Step-by-step explanation:

Let the unknown be x.

Take 3 to the other side so: 2/7 multiplied by x= 6

Divide 6 by 2/7 to get the answer;

Therefore x=21

Sub back into equation to check answer.

Answer:

The equation is: 2/7x + 3 = 9

The unknown number is: 21

Step-by-step explanation:

Write as an unknown value (using a variable)

2/7ths of a number = 2/7x

Write as an equation

2/7x + 3 = 9

Subtract 3 from both sides of the equation

2/7x = 6

Divide both sides of the equation by 2/7

x = 21

The equation is: 2/7x + 3 = 9

The unknown number is: 21

Hope this helps :)

Answer:

The answer is A, 14 inches.

Answer:

The area is approximately 453 ft²

Step-by-step explanation:

Area of a circle = [tex]\pi r^{2}[/tex]

If [tex]\pi[/tex] = 22/7, and  r = 12 ft

Area = (22/7)×12²

= 3.143*144

= 452.592 ft²

≈ 453 ft²

Answer:

9.09 %

Step-by-step explanation:

1). 6000 / 3 = 2000 $ interest per year

2). 2000 / 22 000 = 9.09 %

Answer:

The total number of combinations is 2,358,720,000

Step-by-step explanation:

For the letter part of the ID we have 3 letters out of a space of 26 possible letters (a-z), and they can't repeat. For the number part we want to group 5 numbers out of 10 possible algarisms (0-9).So we can make an arrangement for the letters and one for the numbers and multiply them. The arrangment can be done using the following formula:

A(n,k) = (n!)/(n-k)!

Where n is the total number of possibilities and k is the size of the group.

For the letters:

A(26,3) = (26!)/(26-3)! = (26!)/(23!) = (26*25*24*23!)/(23!) = 26*25*24 = 15600

For the numbers:

A(10,5) = (10!)/(10 - 5)! = 10!/5! = (10*9*8*7*6*5!)/(5!) = 10*9*8*7*6*5 = 151200

The total number of combinations is the product of both, so:

combinations = 15600*151200 = 2,358,720,000

The shapes don't really play a role in this story, do they.  Both points are on the horizontal line y=5 so the distance between them is the absolute difference of the x coordinates, 5- -3 = 8

Answer: 8

The distance between the centers of the circle and triangle is 8.

The distance between two points of a line is given as:

Distance = [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]

Where (a, b) and (c, d) are the two points.

We have,

The centre of a circle = (5, 5)

The centre of a triangle = (-3, 5)

Consider (a, b) = (5, 5) and (c, d) = (-3, 5)

The distance between the centre of a circle and the centre of the triangle.

= √(-3 - 5)² + (5 - 5)²

= √(64 + 0

= √64

= 8

Thus,

The distance between the centres is 64.

Learn more about the distance of a line here:

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Answer:

True

Step-by-step explanation:

Each year, the population of the town increases by a rate of 4%, or 0.04.

In order to find the answer, you need to multiply the population of that year by 1.04. 1.04 is used in order to add the 4% to the overall total.

At the end of the first year, the population is 3250. (3125 x 1.04)

At the end of the second year, the population is 3380. (3250 x 1.04)

Answer:

D 1/11 m/s

Step-by-step explanation:

Method 1:

d=11s

the unit is m/s which is d/s

meter is 1 here, and time is 11

so, 1/11 meter per second.

Method 2:

First remove A and C, which is obviously not related

B is obviously too fast for a rabit, and thus the answer is D.

Divide the perimeter by 2:

6x + 4 / 2 = 3x+2

This is one length plus one width.

Now subtract the width to find the length:

3x +2 - x-1 = 2x+ 3

Length is 2x+ 3

Answer:

2x+3 or C

edge2021

Answer:

13

Step-by-step explanation:

f(x) = 10/2 + 8 = 5 + 8 = 13

Look at the attached picture⤴

Hope it will help u...

Answer:

t=2.25

Step-by-step explanation:

You want to find out what t is.

If 4t = 9, the how much is t?

First step is to divide 9 by 4.

When you divide 9 by 4, you find out how much t is.

When you divide 9 by 4, you get 2.25, or 2 1/4

Answer:

2.250

Step-by-step explanation:

-4t+9 = 0

Subtract  9  from both sides of the equation :

                     -4t = -9

Multiply both sides of the equation by (-1) :  4t = 9

Divide both sides of the equation by 4:

                    t = 9/4 = 2.250

Answer:

199.2 miles

Step-by-step explanation:

Make a proportion

24.9/1=x/8

Cross multiply

x=199.2

So the shark swam 199.2 miles

Hope this helps! :)

Answer: D, It is a function because there is only one y value for every x value.

Answer:

The distance in miles that the cities are apart is 40 miles

Step-by-step explanation:

To get from 1 inch to 8 inches, you multiply by 8. This means you multiply 5 miles by 8 to get 40 miles.

Answer:40 miles

Step-by-step explanation:

because 1 inch is 5 miles and the cities are 8 miles apart so 8x5=40.

Answer:

40

Step-by-step explanation:

The angles are vertical angles so they equal each other.

So 3x=120 divide each side by 3 to get x by itself

So x is 40

Answer:

2 * 2 * 2 * 2 * 5

Step-by-step explanation:

Answer:

2^4*5 OR 2*2*2*2*5

Step-by-step explanation:

using prime factorization

factors of 80 are 10*8 then factor 8 and 10 and so on until you are left with all prime numbers.

Hope this helps!

There are 3 red out of 7 total so red will be 3/7

There are 4 blue out of 7 total so blue will be 4/7

After he picks one he puts it back so every red will be 3/7 and every blue will be 4/7

B) multiply the probability of picking a red one by the probability of picking a red one again:

3/7 x 3/7 = 9/49 probability of picking 2 red ones.

Answer:

Base = 8 feet

Step-by-step explanation:

[tex]area \: of \: \triangle = \frac{1}{2} \times base \times height \\ 16 = \frac{1}{2} \times base \times 4 \\ 16 = base \times 2 \\ base = \frac{16}{2} \\ base = 8 \: feet[/tex]

Answer:

A:(2m^4n^3)^3(5m^4n^3)^2

Step-by-step explanation:

Answer:

7/21

Step-by-step explanation:

Answer:

1/729

Step-by-step explanation:

Just multiply 3 for the amount of rounds there are (6) so 3^6 is equal to 729

Answer:

Here we can see they are vertically opposite angles so x = 35°

x=35

bcoz they are vertically opposite angles.

As we know vertically opposite angles are equal.

Answer:

First problem: 89.07 grams

Second problem: 3910.15 days

Step-by-step explanation:

We can solve these problems with the exponencial equation:

P = Po * (1+r)^t

Where P is the final value, Po is the inicial value, r is the rate and t is the time.

In the first problem, the half-life is 119.77 days and Po = 100, so we have that:

P = 100 * (1-0.5)^(t/119.77)

So after 20 days, we will have:

P = 100 * (1-0.5)^(20/119.77) = 89.07 grams

For the second problem, we have the half-life of 5730 days, and the final value over the inicial value is 62.31%, so:

P/Po = (1-0.5)^(t/5730)

0.6231 = 0.5^(t/5730)

log(0.6231) = log(0.5^(t/5730))

-0.4730 = (t/5730)*log(0.5)

-0.4730 = (t/5730)*(-0.6931)

(t/5730) = 0.6824

t = 0.6824 * 5730 = 3910.15 days

Using the formula for half-life calculation, approximately 82.57 milligrams of Selenium left after 20 days. Based on the amount of Carbon-14 left, the last eruption of the volcano occurred approximately 3896 years ago.

The calculation of remaining amount of a given isotope relies on the understanding of what is called a half-life. In the case of selenium, with a half-life of 119.77 days, we are looking at 20 days had passed. This would be a fraction of the half-life (20/119.77 = 0.167). The amount left can be calculated by the formula N = N0 * (1/2)^(t/T), where N is the final amount, N0 is the initial amount, t is the elapsed time, and T is the half-life. This becomes 100 * (1/2)^(0.167) which results in approximately 82.57 milligrams of Selenium left.

For the interval of carbon-14 relating to the volcano eruption using a half-life of 5730 years, we know from the sample that 62.31% of the original amount remains. This relates to 0.623 as the fraction of half life that has passed. Using the formula log2(1/0.623) we get approximately 0.68 half-lives. From this, we can find the time passed, which is half-life times the number of half-lives. This results in 5730 * 0.68 = approximately 3896 years ago for the last eruption.

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Answer:

540 degrees

Step-by-step explanation:

Answer:

the correct answer is C 540 degrees

Step-by-step explanation:

Answer: 16700

Step-by-step explanation:

First, we must factor 167^2-167*67

Factoring out 167 gives:

167(167-1*67)

Following Order of Operations, you get 167(167-67) which then gets 167(100)

Then, multiply and get 16700

Answer:

6; solution is not extraneous

Step-by-step explanation:

[tex]\sqrt{3x-2} =4[/tex]

[tex](\sqrt{3x-2})^{2} = (4)^2[/tex]

[tex]3x-2= 16[/tex]

[tex]3x = 18[/tex]

[tex]x =6[/tex]

[tex]\sqrt{3(6)-2}=4[/tex]

[tex]\sqrt{18-2}=4[/tex]

[tex]\sqrt{16} =4[/tex]

[tex]4=4[/tex]

6; solution is not extraneous

because 4 is equal to 4, an extraneous answer would be the correct answer given, however when you plug it into the equation it is not equal