Given the expression, 3(y + 1) + 2y, which of the following expressions is equivalent?
A
3y + 3

B
5y + 1

C
5y + 3

D
9y + 3

Answer:

20.6

Step-by-step explanation:

The exponential function to solve the problem.

A = [tex]A_0[/tex] [tex]e^{rt}[/tex]

A = population in time t.

[tex]A_0[/tex] = Initial population.

r = growth rate.

t = time

The number of days taken to triple the population is 20.7 days.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The exponential function to solve the problem.

A = [tex]A_0[/tex] [tex]e^{rt}[/tex]

A = population in time t.

[tex]A_0[/tex] = Initial population.

r = growth rate.

t = time

Now,

A = 2[tex]A_0[/tex]

t = 13

A = [tex]A_0[/tex] [tex]e^{rt}[/tex]

[tex]2A_0[/tex] = [tex]A_0e^{13r}[/tex]

2 = [tex]e^{13r}[/tex]

Taking logs on both sides.

log 2 = 13r log e

0.30 = 13r

r = 0.30/13

r = 0.023

Now,

A = 3[tex]A_0[/tex]

A = [tex]A_0[/tex] [tex]e^{rt}[/tex]

3 = [tex]e^{rt}[/tex]

log 3 = rt

0.48 = 0.023t

t = 0.48/0.023

t = 20.7 days.

Thus,

The number of days taken to triple the population is 20.7 days.

Learn more about functions here:

https://brainly.com/question/28533782

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Answer:

You would tell them by labeling the x and y and the titles of the graph and what corresponds to it

Step-by-step explanation:

Answer:

$31.50

Step-by-step explanation:

42 x 0.25 = 10.5

42 - 10.50 = 31.50

$31.50

Explanation:

42 × 25% = 10.5

42 - 10.5 = 31.5

Answer:

8075.

Step-by-step explanation:

Volume of the prism

= 12 1/2 * 8 1/2 * 9  1/2

= 25/2 * 17 / 2 * 19/2

= 8075/8 cm^3

The volume of the small cubes = (1/2)^3 = 1/8 cm^3

So the number required = 8075 / 8   /  1/8

= 8075*8 / 8

= 8075.

Answer:

1. The new temperature would be 13°C (-2+15)

2. The temperature rose 15°C (9-(-6))

Answer:

148 i thk i did 16x-12

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

189 boys is 54%

x is 46%(100-54)

Cross multiply:

189*46%=54%*x

86.94=0.54x

x=161

189 boys 161 girls

350 altogether

So D

Hope this helps plz hit the crown :D

Answer:

i did'nt understand the question

Step-by-step explanation:

sorry

Answer:

44°

General Formulas and Concepts:

Pre-Algebra

Geometry

Step-by-step explanation:

Step 1: Set up Equation

136° + x° = 180°

Step 2: Find missing angle

Answer:

Solving the system of equations using elimination method, we get x=2, y=0

The ordered pair is: (2,0)

Step-by-step explanation:

We need to solve the system of equations using elimination method.

[tex]5x-2y = 10\\4x + 2y = 8[/tex]

Let:

[tex]5x-2y = 10--eq(1)\\4x + 2y = 8--eq(2)[/tex]

Add both equations to eliminate y and find value of x

[tex]5x-2y = 10\\4x + 2y = 8\\------\\9x=18\\x=\frac{18}{9}\\x=2[/tex]

We get value of x=2

Now, finding value of y by putting value of x in eq(1)

[tex]5x-2y=10\\Put\:x=2\\5(2)-2y=10\\10-2y=10\\-2y=10-10\\-2y=0\\y=0[/tex]

We get value of y= 0

Solving the system of equations using elimination method, we get x=2, y=0

The ordered pair is: (2,0)

Answer:

the answer is C

Step-by-step explanation:

Answer:

419,920 is the new value when it's increased by sixteen percent

Answer:

40

Step-by-step explanation:

200/5=x/1

Answer:

40

Step-by-step explanation:

200/5 = 40

nice dumb questions

Answer:

70

Step-by-step explanation:

42/6=7. 42000/600=70. Add the zeroes!

Answer:

70

Step-by-step explanation:

42,000 ÷ 600=70

600x70=42,000

42,00÷70=600

Answer:

c

Step-by-step explanation:

It would be quadrant III

Answer:

Quadrant 3

Step-by-step explanation:

Quadrant 3: (-, -)

Answer:

y=2x-2

Step-by-step explanation:

(2,2), (3,4)

4-2=2

3-2=1

2/1

Answer:

y = 2x - 2

Step-by-step explanation:

In the formula for a line, y = mx + b,

Answer:

29

Step-by-step explanation:

First, we have to find three numbers out of the four that add up to 84. But, it has to be in order because the question says consecutive numbers. In case you don’t know, consecutive numbers are numbers that increase at the same rate. In this problem, the numbers increase by one. I first did 26+27+28, which equaled 81. I have to get to 84 though. So, I did 27+28+29, which equaled 84. I did it correctly because 27, 28, and 29 are consecutive number, since they go inorder, and I added them up to 84. But the question is asking which of the three is the largest number. So, out of 27, 28, and 29, 29 is the largest number.

Hope this helps and answers your question! :)

Answer:

Step-by-step explanation:

i just took the test its 29

Answer:

The answer is "0.9217".

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]\mu = 218.4 \\\\ \sigma = 25\\\\\bar{x}= 224 \\\\ n = 40 \\\\[/tex]

[tex]z = \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\\[/tex]

[tex]= \frac{224 - 218.4}{\frac{25}{\sqrt{40}}} \\\\= 1.4167\\\\\to P( \bar{x}< 224) = P(z< 1.4167) = 0.9217[/tex]

Answer:

[tex]s = 1[/tex]

Step-by-step explanation:

Given

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

Required

Solve for s

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

Add [tex]\frac{1}{2}[/tex] to both sides

[tex]s - \frac{1}{2} + \frac{1}{2} = \frac{1}{2} + \frac{1}{2}[/tex]

Take LCM

[tex]s + \frac{-1+1}{2} = \frac{1+1}{2}[/tex]

[tex]s + \frac{0}{2} = \frac{2}{2}[/tex]

[tex]s +0 = 1[/tex]

[tex]s = 1[/tex]

Answer:

2, 6

4, 12

8, 18

and so on

Step-by-step explanation:

multiply the number on the right by itself and do the same with the number on the left, this pattern could go on forever,

Answer: 43.2 miles/hour

Step-by-step explanation:

Answer:

11pi/6 in^3 or

5.760 in^3 to the nearest thousandth.

Step-by-step explanation:

Volume of ice cream = volume of the cone + volume of the hemisphere

= 1/3 pi r^2 h + 1/2 * 4/3 pi r^3    

= 1/3 pi 1^2 * 3.5 + 2/3 pi 1^3             (as the radius = 1/2 * diameter)

=  (7/6 + 2/3) pi

= 11pi/6 in^3.

Answer:

42

Step-by-step explanation:

Hope this helps and have a great day! :)

Answer: -7(-6) is 42

hope this helps :)

Step-by-step explanation:

when You multiply two negative numbers, the answer is positive.

Answer:

how many cans?

Step-by-step explanation:

Answer:

Can you import the progress report picture please

Step-by-step explanation:

So we can solve it

Answer:

426 square feet

Step-by-step explanation:

First, find the angle of each shape separately.

Area of a triangle = 1/2 base times height

1/2(9x8)

1/2(72) = 36

Area of a rectangle = base times height.

26 x 15 = 390

Now, add the numbers together to get the total area. 390+36=426

Answer:

426 square feet

Step-by-step explanation:

-First find the area of the rectangle:

26 x 15 = 390

-Next, find the area of the triangle on top:

9 x 8/2 = 36

-Finally, add the two to get the full area of the figure:

390 + 36 = 426

Answer: 426 square feet

Hope this helps! :)

Answer: 2n + 1 = n + 11

Answer:

In a felony case, the purpose of a grand jury is to decide if the evidence warrants prosecution. In a felony case, the purpose of a grand jury is to decide if the evidence warrants prosecution

Answer:

decide if the evidence warrants prosecution

Step-by-step explanation:

Answer:

There would be 42 girls and 18 boys.

Step-by-step explanation:

Multiply7 by 6 since 7 + 3 is 10 x 6 = 60.

Answer: the answer is 36

Hope this helps :)

Step-by-step explanation:

Answer:

36

Step-by-step explanation: