What is the measure of angle ABC?

Answer:

D

Step-by-step explanation:

When we divide the entire equation by -1/2 to get rid of the coefficient of n we get n = 16.

Answer:

D.) 16

Step-by-step explanation:

Solve for n:

-n/2 = -8

Multiply both sides of -n/2 = -8 by -2:

(-2 (-n))/2 = -2 (-8)

-2×(-1)/2 = (-2 (-1))/2:

(-2 (-1))/2 n = -2 (-8)

(-2)/2 = (2 (-1))/2 = -1:

--1 n = -2 (-8)

(-1)^2 = 1:

n = -2 (-8)

-2 (-8) = 16:

Answer: n = 16

Answer:

3600 m or 3.6 km

Step-by-step explanation:

The first thing is to take into account that the pulse rate is equal to 75 per minute, or what is the same as 75 beats per 60 seconds, then we must know how many seconds would be 15 beats:

15 beats * 60 seconds / 75 beats = 12 seconds

Therefore, we know that the velocity is equal to:

v = d / t

We know the time and the speed, therefore:

d = v * t

replacing

d = 300 * 12

d = 3600

is located at 3600 meters or 3.6 km

Answer:

(-2, 0) and (0, 4)

Step-by-step explanation:

The solutions are the intersection points. The graphs intersect at points (-2, 0) and (0, 4)

0 is the answer of questions

Answer:

-69/323

Step-by-step explanation:

6/19-9/17=6*17-19*9/19*17

=102-171/323

= -69/323

Answer:

40

Step-by-step explanation:

120/3=40

Answer:

Step-by-step explanation:

[tex]5\frac{1}{4} =x[/tex]

[tex]3\frac{3}{4} =y[/tex]

x-y=?

so

?+y=x

which means

[tex]?+ 3\frac{3}{4} = 5\frac{1}{4}[/tex]

i hope this helps

Step-by-step explanation:

5f

5 + n times of a number

Answer:

m∠BOC = 60°

Step-by-step explanation:

Step 1: Find x

7x + 30 + 9x + 42 = 104

16x + 72 = 104

16x = 32

x = 2

Step 2: Plug x into ∠BOC equation to find m∠BOC°

9(2) + 42

18 + 42 = 60

Answer:

[tex]\sqrt[12]{x}^8[/tex], The 3rd answer

Step-by-step explanation:

When you exponent an exponent, you multiply the 2 exponents together.

Step 1: Rewrite [tex]\sqrt[3]{8}[/tex] to exponential form

[tex](8^{1/3})^{{1/4x}[/tex]

Step 2: Multiply exponents

[tex]8^{1/12x}[/tex]

Step 3: Rewrite as radical

[tex]\sqrt[12]{8}^{x}[/tex]

And we have our answer!

Answer:

[tex] \sqrt[12]{8}^x [/tex]

Step-by-step explanation:

[tex] \sqrt[3]{8}^{\frac{1}{4}x} = [/tex]

[tex]= (8^{\frac{1}{3}})^{\frac{1}{4}x}[/tex]

[tex] = 8^{\frac{1}{3} \times \frac{1}{4}x} [/tex]

[tex] = 8^{\frac{1}{12}x} [/tex]

[tex] = \sqrt[12]{8}^x [/tex]

Answer:

(a) n = 9 inquiries

The owner must answer 9 inquiries to be 99% sure of renting at least one room.

(b) E(x) = 8 inquiries

Therefore, the expected number of inquiries that will result in room rentals is 8.

Step-by-step explanation:

The given problem can be solved by Binomial distribution.

Let x be the people who stop and inquire about a room for the night actually rent a room.

P(x) = ⁿCₓ pˣ (1 - p)ⁿ⁻ˣ  

Where n is the number of trials, x is the variable of interest and p is the probability of success.  

(a) How many inquires must the owner answer to be 99% sure of renting at least one room?

For the given case, we have p = 0.40 and we want to find n such that

P(x ≥ 1) = 0.99

we know that

P(x ≥ 1) = 1 - P(x < 1)

P(x ≥ 1) = 1 - P(x = 0)

So,

1 - P(x = 0) = 0.99

P(x = 0) = 1 - 0.99

P(x = 0) = 0.01

For x = 0 and p = 0.40

P(x = 0) =(ⁿC₀) (0.40)⁰ (1 - 0.40)ⁿ⁻⁰

0.01 = (1)(1)(0.60)ⁿ

0.01 = 0.60ⁿ

ln(0.01) = ln(0.60ⁿ)

ln(0.01) = n ln(0.60)

n = ln(0.01)/ln(0.60)

n = 9.01

Rounding off to nearest whole number

n = 9 inquiries

Therefore, the owner must answer 9 inquiries to be 99% sure of renting at least one room.

(b) If 20 separate inquiries are made about rooms, what is the expected number of inquiries that will result in room rentals?

The expected number of inquiries is given by

E(x) = n×p

For the given case, we have n = 20 and p = 0.40

E(x) = 20×0.40

E(x) = 8 inquiries

Therefore, the expected number of inquiries that will result in room rentals is 8.

Answer:

(7, 13/3)

Step-by-step explanation:

[tex]y=\frac{1}{3} x+2\\[/tex]   Line up the equations on top of each other

[tex]y=\frac{4}{3} x-5[/tex]

[tex]-4*[y=\frac{1}{3} x+2][/tex]   Multiply the top equation by [tex]-4[/tex] in order to cancel out the [tex]x[/tex] variable

[tex]-4y=-\frac{4}{3} x-8[/tex]   Switch out the first equation for this one

[tex]-4y=-\frac{4}{3} x-8[/tex]   Line up the equations

    [tex]y=\frac{4}{3} x-5[/tex]

[tex]-3y=-13[/tex]   Add the two equations top to bottom, left to right

    [tex]y=\frac{13}{3}[/tex]

Now that you've found [tex]y[/tex], you need to find [tex]x[/tex]. Just plug in the y-value to either of the equations in Step 1:

The first equation has smaller numbers, so let's use that one.

[tex]\frac{13}{3} =\frac{1}{3} x+2[/tex]

To make it easier you can multiply all the terms in the equation by 3:

[tex]13=x+6[/tex]

 [tex]7=x[/tex]

The [tex]x[/tex]- and [tex]y[/tex]- values together give a solution of ( [tex]7[/tex], [tex]\frac{13}{3}[/tex] )

Answer:

R: {-7,-2,3,8}

Step-by-step explanation:

The range is the output values of the function

The values or 8,3,-2,-7

We put them in order from smallest to largest

R: {-7,-2,3,8}

Answer:

2nd option would be the answer

B

{y:y=-7,-2,3,8}

Step-by-step explanation:

Answer:

1_11/20 pounds, or 1.55 pounds.

Step-by-step explanation:

Since at the beginning, he had 5 1/4 pounds and used 3/5, we subtract the amount of pounds. We are then left with 93/20 pounds, which he then splits among 3 containers. Dividing by three, we then get 31/20 pounds in one aquarium, or 1 11/20 pounds in each aquarium or 1.55 pounds.

Answer:

5 shifts

Step-by-step explanation:

The pool is open for 7 1/2 hours (15/2 hours) per day.

Each lifeguard shift lasts for 1 1/2 hours (3/2 hours).

To get the number of shifts per day, we divide the total hours that the pool is open by the time of each lifeguard shift:

[tex]\frac{15}{2} / \frac{3}{2} \\\\= \frac{15}{2} / \frac{2}{3} \\\\ = 5[/tex]

There are 5 lifeguard shifts per day.

Answer:

5

Step-by-step explanation:

Answer:

The difference between city and town is 189m.

Step-by-step explanation:

A city is 138m above sea level and town is 51m below see level.

When finding the differences, you have to take the highest value and subtract the lowest value :

[tex]138 - ( - 51) = 138 + 51 = 189m[/tex]

Step-by-step explanation:

8-4(-x + 5)

8 + 4x - 20

4x - 12

Answer:

[tex]Surface Area = 84.9 cm^2[/tex]

Step-by-step explanation:

Surface Area = [tex]4\pi r^2[/tex]

Putting r = 2.6 cm

SA = 4(3.14)(2.6)²

SA = 4(3.14)(5.76)

SA = 84.9 cm²

Answer:

[tex]2.6^{2} \times \pi \times 4 = 84.9[/tex]

Answer:

5/16

Step-by-step explanation:

5/12 × 3/4

Multiply.

15/48

Simplify.

5/16

Answer:

it lies in the middle term in the arranged data set the medium class interval is corresponding were the medium Value falls

Step-by-step explanation:

I hope it will help

Answer:

4.25

Step-by-step explanation:

Answer:

m = 4.25

Step-by-step explanation:

8/5 = 2/(m - 3)

Cross multiply.

8(m - 3) = 2 * 5

8m - 24 = 10

8m = 34

m = 4.25

Answer:

[tex]\frac{7}{16}[/tex]

Step-by-step explanation:

=> [tex]\frac{13}{16}-\frac{3}{8}[/tex]

LCM = 16

=> [tex]\frac{13-6}{16}[/tex]

=> [tex]\frac{7}{16}[/tex]

Answer:

7/16

Step-by-step explanation:

13/16 - 3/8

Lowest common multiple is 16.

= 13/16 - 6/16

Subtract the fractions.

= (13-6)/16

= 7/16

Answer:

This is true! 1x=1

Step-by-step explanation:

So let's rewrite the question again.

-5(x - 1) = 2x - 7x + 5

So we will solve from left to right.

-5(x-1) <- In here, we cannot add a variable to a whole number. So, we simply multiply -5 by x and -1.

-5(x - 1) = -5x+5

2x - 7x + 5 <- Here, we can subtract 2x-7x. They are both variables. But, we cannot add 5 to a variable.

2x - 7x + 5 = -5x+5

Now, here is the equation that we have so far.

-5x+5 = -5x+5

+5x        +5x

----------------------

5=5

-5 -5

0=0

So in here, we can have anything. 1, 2, 3, 4, 5, 6, 100, anything. So, the answer is:

All Real Numbers

Answer : The expression will be

( c - 7 ) / 3

Step-by-step explanation:

Let's say Adam has c pieces of candy

He took ten pieces for himself which means we can write this as c-7

He then divided this amount between his 3 children (c-7)/3

Answer:

Option B

Step-by-step explanation:

A unit circle means radius of the circle = 1 unit

Let a terminal point on the circle is (x, y) and angle between the point P and x-axis is θ.

Center of the circle is origin (0, 0).

Therefore, ordered pair representing the terminal point will be (OP×Cosθ, OP×Sinθ) = [tex](\frac{\sqrt{2} }{2},-\frac{\sqrt{2} }{2})[/tex]

OP.Cosθ = 1×Cosθ = [tex]\frac{1}{\sqrt{2}}[/tex]

Cosθ = [tex]\frac{1}{\sqrt{2}}[/tex]

θ = [tex]\frac{\pi }{4}+2\pi n[/tex],  [tex]\frac{7\pi }{4}+2\pi n[/tex] where n = integers

Similarly, OP×Sinθ = 1×Sinθ = -[tex]\frac{1}{\sqrt{2}}[/tex]

Sinθ = -[tex]\frac{1}{\sqrt{2} }[/tex]

θ = [tex]\frac{5\pi }{4}+2\pi n[/tex],  [tex]\frac{7\pi }{4}+2\pi n[/tex] where n = integer

Common value of θ will be, θ = [tex]\frac{7\pi }{4}[/tex]

Option B will be the answer.

Answer:

x = 68

Step-by-step explanation:

If you divided 90 by 45, you can see that the 1st ratio has been multiplied by 2 to get the second ratio. To get x, simply multiply 34 by 2 and you should get 68

Answer:

68

Step-by-step explanation:

Answer:

1555.61 birrs

Step-by-step explanation:

Perform this operation:

83.5 liters      18.63 birr

---------------- * ----------------- = 1555.61 birrs             This was the total amount

         1               1 liter                                              of the bill.

Answer:

1,555.605

Step-by-step explanation:

per liter is 18.63 and the driver got 83.5 liters

the bill is 18.63 × 83.5 = 1,555.605 if you are asked to approximate

it will give you 1,556

Answer:

Step-by-step explanation:

y + 5 = 3x - 18

y = 3x - 23

The solution is A

Answer:

A. y=3x-23

Step-by-step explanation:

We want to get the equation in slope intercept form, or y=mx +b, where m is the slope and b is the y intercept. Basically, we need to get y isolated.

y+5=3(x-6)

First, let’s distribute the 3 on the right side. Multiply each term inside the parentheses by the number outside the parentheses (3).

y+5=3*x + 3*-6

y+5=3x-18

5 is being added onto y. We need to perform the inverse operation to get y by itself. The opposite of addition is subtraction. Subtract 5 from both sides

y+5-5=3x-18-5

y= 3x-18-5

y=3x-23

Therefore, the correct answer is A. y=3x-23

[tex]answer \\ k = - 4 \\ solution \\ 2x + y - 6 = 0 \\ (5 \: k) \: is \: a \: solution \: so \\ x = 5 \: and \: y = r \\now \\ 2x + y - 6 = 0 \\ or \: 2 \times 5 + r - 6 = 0 \\ or \: 10 + r - 6 = 0 \\ or \: 10 - 6 + r = 0 \\ or \: 4 + r = 0 \\ or \: r = 0 - 4 \\ r = - 4 \\ hope \: it \: helps[/tex]

Answer:

0.125

Step-by-step explanation:

Simplified:

1/8

Answer:

0.125

Step-by-step explanation: