Line ABC is a straight line
Which descnbes the relationship between 21 and 22?
21 and 22 are complementary angles.
21 and 22 are supplementary angles.
21 and 22 are vertical angles
21 and 22 are acute angles

Answer:

-11.

Step-by-step explanation:

f(x) = √(3 - 2x),   x ≤ 3/2

let y = √(3 - 2x)

y^2 = 3 - 2x

2x = 3 - y^2

x = (3 - y^2)/2

So f-1(x) = (3 - x^2)/2  

f-1(x) = (3 - 5^2) / 2 = -11.

Answer:

- The population in 2001 is 23.1 million

- It will reach 28.3 million in 2013

Step-by-step explanation:

Given

[tex]A =23.1e^{0.0152t}[/tex]

Solving (a): Population in 2000.

This implies that

[tex]t = 2000 - 2000[/tex]

[tex]t = 0[/tex]

So, we have:

[tex]A =23.1e^{0.0152t}[/tex]

[tex]A =23.1e^{0.0152*0}[/tex]

[tex]A =23.1e^{0}[/tex]

Solve the exponent

[tex]A =23.1*1[/tex]

[tex]A =23.1[/tex]

The population in 2001 is 23.1 million

Solving (b): When will it reach 28.3 million

This implies that:

[tex]A =28.3[/tex]

So, we have:

[tex]A =23.1e^{0.0152t}[/tex]

[tex]28.3 = 23.1e^{0.0152t}[/tex]

Divide both sides by 23.1

[tex]1.225 = e^{0.0152t}[/tex]

Take natural logarithm of both sides

[tex]ln\ 1.225 = ln(e^{0.0152t})[/tex]

Rewrite as:

[tex]ln\ 1.225 = 0.0152t\ ln(e)[/tex]

[tex]ln(e) = 1[/tex]

So:

[tex]ln\ 1.225 = 0.0152t*1[/tex]

[tex]ln\ 1.225 = 0.0152t[/tex]

Make t the subject

[tex]t = \frac{ln\ 1.225}{0.0152}[/tex]

[tex]t = \frac{0.2029}{0.0152}[/tex]

[tex]t \approx 13[/tex]

Add the value of t to 2013 to get the actual year

[tex]Year = 2000 +13[/tex]

[tex]Year = 2013[/tex]

It will reach 28.3 million in 2013

Step-by-step explanation:

Sol

Given that ,

mean =300

standard deviation =a =70

n=100

ux=128

a ) within 6 =300 +/-6 : 294, 306

P(294' ' 306)

: P(-0.86 : Z ' 0.86)

: P(Z ' 0.86) - P(Z ' -0.86)

Using z table,

: 0.8051-0.1949

: 0.6102

Probability : 0.6102

a ) within 18 =300 18 : 294, 318

P(294' ' 306)

: P(Z ' 2.57) - P(Z ' -2.57)

Using z table,

:0.9949-0.0051

:0.9898

Probability =0.9898

Answer:

15

Step-by-step explanation:

the answer is 15. 12×15=180

Answer:

B

Step-by-step explanation:

Answer:

it would be the last one i meant

Step-by-step explanation:

Answer:

There is four boxes I answered this in order

1st box: 3

2nd Box:  7

3rd box: 15

4th box : 19

5th box ; 16

Step-by-step explanation:

This is simple

Answer:

j = 11

Step-by-step explanation:

$25 - $14 = 11

Answer:

0.25

Step-by-step explanation:

-5x - 10x = -15x

-15x = -60

x = 0.25

Answer: x=-4

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

The median is the line in the middle of the box plot.

C is the answer because 75 is the largest median out of all the choices.

Answer:

The solution is [tex]x = 0.83[/tex]

Step-by-step explanation:

We are given the following equation:

[tex]e^{3x} = 12[/tex]

To isolate x, we apply ln, which is the inverse of the exponential. So

[tex]\ln{e^{3x}} = \ln{12}[/tex]

[tex]3x = \ln{12}[/tex]

[tex]x = \frac{\ln{12}}{3}[/tex]

Using a calculator:

[tex]x = 0.83[/tex]

The solution is [tex]x = 0.83[/tex]

Answer:

10th term is 10

Step-by-step explanation:

The nth term for finding the geometric progression is expressed as;

Tn = ar^n-1

a is the first term

r is the common ratio

n is the number of terms

a11 = ar^11-1

a11 = ar^10

Since a11 = -5 and r = -1/2

-5 = a(-1/2)^10

-5 = a(1/1024)

a= 1024 * -5

a = -5120

Nest is to get the 10th terms

a10 = ar^9

a10 = -5120 * (-1/2)^9

a10 = -5120 * -1/512

a10 = 10

Hence the 10th term of the sequence is 10

Answer: HL

Step-by-step explanation:

The shared side is congruent, meaning the triangles are congruent by HL.

Answer:

8100

Step-by-step explanation:

8100/12=675

8100/18=450

8100/30=270

Answer:

Therefore, 8100 is the highest four digit perfect square number which is divisible by 12,18 and 30.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

5 + 5

Answer:

345

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

12-3(3)<6

12-9<6

3<6

This makes the expression true so y=3

Answer:

y > 2

Step-by-step explanation:

isolate the y:

=> -3y < 6 -12

=> -3y < -6

=> y > 2

       ↑ have to change the inequality sign when divide/multiply by a negative number

19.20 you have to do a squared times b squared and the square root them and there's your answer

Answer:

Step-by-step explanation

$20 but im not for sure so if im wrong im sorry

Answer:

Area of Grass = 6 m²

Area of Cement = 24 m²

Area of Grass and Cement Together = 30 m²

Step-by-step explanation:

Area of Grass = 3m × 2m = 6m²

Area of Cement = (6m × 5m) - 6m² = 30m² - 6m² = 24m²

Area of Grass and Cement Together = 6m² + 24m² = 30m²

Answer:

Answer is 51

Step-by-step explanation:

5(6) + 3(7)

30 + 21

51

Answer:

first you woub sub 6 into x and 7 into y then you would multiple 5 and 6 to get 30 and then multiple 3 and 7 to get 21. lastly add 30 and 21 to give a total of 51

Step-by-step explanation:

5x+3y

5(6)+3(7)

30+21

51

hope this helps

y=x-5

Thatll be one brainliest

Answer:

Angle A = 17°, Angle B = 73°

Step-by-step explanation:

Angle A & Angle B are complementary angles (given) so they will form 90°.

Let's take,

Angle A = x

Angle B = 4x +5 (angle B is five degrees more than four times angle A)

Measure of each angle=?

Angle A + Angle B = 90°

x + 4x + 5 = 90

5x + 5 = 90

5x = 90 - 5

5x = 85

x = 85 ÷ 5

x = 17°

Angle A = x = 17°

Angle B = 4x + 5 = 4(17) + 5 = 68 + 5 = 73°

•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•

Answer: 2 dolls

Step-by-step explanation: got it right

Answer:

2/5

Step-by-step explanation:

multiply length and width then divide the volume by the product of length times width

3/4 x 1/2 then divide 15/16

Answer:

-48

Step-by-step explanation:

(-2)(-3)(-4)(-1)(-2)

(6)(-4)(-1)(-2)

(-24)(-1)(-2)

(24)(-2)

(-48)

Answer:

The amount of money, to the nearest cent, in the account after 3 years will be $ 7028.56

Step-by-step explanation:

The amount is given by

[tex]V = Pe^{rt}[/tex]

Given P = $6520

r = 2.5%

t = 3 years

Substituting the given values, we get -

[tex]V = 6520 * e^{2.5*3/100 }\\V = 6520 * 1.078\\V = 7028.56[/tex]

The amount of money, to the nearest cent, in the account after 3 years will be $ 7028.56