The pressure of a gas varies inversely with the volume (P = k/v). If the pressure is 150 kPa, and the volume 4 ML, what would the pressure be if the volume of the gas is 3 ML? If needed, round your answer to 2 decimal places.

The exponential growth is 1.95% and after 35.72 years the population will double.

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]

where a is a constant and a>1

Let's suppose the exponential growth function is:

[tex]\rm y = Ae^{rt}[/tex]

A = 163,000

y = 1,686,000

t = 2020 – 1900 = 120 years

Plug all the values in the function:

[tex]\rm 1686000 = 163000e^{120r}[/tex]

[tex]\rm e^{120r} = 10.343[/tex]

Taking ln both side and solving:

r = 0.0194

r = 1.946 ≈ 1.95%

[tex]\rm 2A = Ae^{0.0194t}[/tex]  (the population to double)

After solving:

t = 35.72 years

Thus, the exponential growth is 1.95% and after 35.72 years the population will double.

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The actual height in inches,will be  [tex]\dfrac{1}{6} c[/tex]  of one of her friends who is c centimeters tall in the picture

Height is measure of vertical distance, either vertical extent (how "tall" something or someone is) or vertical position.

lets call the height x :

[tex]\dfrac{10}{60} = \dfrac{h}{x}[/tex]

[tex]x = \dfrac{1}{6} h[/tex]

Hence the actual height in inches,will be  [tex]\dfrac{1}{6} c[/tex]  of one of her friends who is c centimeters tall in the picture.

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Answer:

1/14

Step-by-step explanation:

a four out of possible   6 rolls   = 1/6

6 red out of 14 balls      6/14

1/6  * 6/14 = 1/14

The Probability of rolling a 4 on a number cube and then choosing a red a ball at random is 1/14.

Probability is "possibility that deals with the chance of occurrence of random event" .

According to the question,

A cube has 6 faces that is  (1,2,3,4,5,6). Total number of faces n(s) = 6.

Probability formula = (Number of favorable event)/(Total number of event).  

Probability of taking 4, P(4) = 1/6.

A bag containing 8 blue and 6 red balls. Total number of balls in a bag n(s) = 14.

Probability of taking red balls P(red balls) = 6/14.

In order to find that probability of rolling a 4 on a number cube and then choosing a red a ball at random only if multiply P(4) by P(red balls).

P(4) × P(red balls) = [tex]\frac{1}{6}[/tex] × [tex]\frac{6}{14}[/tex] = [tex]\frac{1}{14}[/tex].

Hence,  probability of rolling a 4 on a number cube and then choosing a red a ball at random is 1/14.

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Answer:

2k^2+12

Step-by-step explanation:

remove parentheses, simplify calculate

Answer:

b

Step-by-step explanation:

1000 meters in a kilometer

Answer:

You can can receive 9 different ways to receive change from a ten-dollar bill

Step-by-step explanation:

- Total spent: $9.79

- How much payed: $10

The change will be $10 - $9.79 = 0.21

- Change: $0.21

Possible coins:

penny: 1¢ ($0.01)

nickel: 5¢ ($0.05)

dime: 10¢ ($0.10)

25¢ (this is too high, can't use)

Combinations:

To get 21...

- not ideal but 21 pennies

- 11 pennies + 1 dime

- 1 penny + 2 dimes

- 16 pennies + 1 nickle

- 11 pennies + 2 nickels

- 6 pennies + 3 nickels

- 1 penny + 4 nickels

- dime + nickle + 6 pennies  

- dime + 2 nickels + 1 penny

using dimes:  [10, 10, 1]   [10, 5, 5, 1]   [10, 5, 6x1]   [10, 11x1]

using nickels:  [5, 5, 5, 5, 1]   [5, 5, 5, 6x1]   [5, 5, 11x1]   [5, 16x1]

using pennies: 21x1

So, there are 9 ways to make the change.

Answer:

x < - 25

Step-by-step explanation:

| x + 3 | > 22

Case 1 : x + 3 > 22 [WORKED]

x > 22 - 3

x > 19

Case 2: - (x + 3) > 22

- x - 3 > 22

- x > 22 + 3

x < - 25

As case 1 and 2 don't overlap, so the answer of x should be:

x < - 25 or x > 19

Answer:

It is the spot where sons raise meat.

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{2}~,~\stackrel{y_1}{2})\qquad Q(\stackrel{x_2}{-3}~,~\stackrel{y_2}{-6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PQ=\sqrt{[-3 - 2]^2 + [-6 - 2]^2}\implies PQ=\sqrt{(-5)^2+(-8)^2} \\\\\\ PQ=\sqrt{25+64}\implies PQ=\sqrt{89}\implies \boxed{PQ\approx 9.4}[/tex]

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ P(\stackrel{x_1}{2}~,~\stackrel{y_1}{2})\qquad Q(\stackrel{x_2}{-3}~,~\stackrel{y_2}{-6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -3 + 2}{2}~~~ ,~~~ \cfrac{ -6 + 2}{2} \right)\implies \left(\cfrac{-1}{2}~~,~~\cfrac{-4}{2} \right)\implies \left( -\cfrac{1}{2}~~,~~-2 \right)[/tex]

Answer:

Rectangle

Step-by-step explanation:

Horizontal is going across. So when you slice the rectangular prism, you end up with rectangle

Answer:

It is a rectange

Step-by-step explanation:

No matter how high up or low you cut a horizontal cross section on a rectangular prism, it is always a rectangle.

Using the probability concept and the Venn diagram described, the correct option is given by:

P(C|A) = 13/17.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

P(A|B) is given by the sum of the values that involve both A and B by the sum of all values that involve B, hence:

Hence:

P(A|B) = 7/20.

Following the same logic, we have that:

Hence the last option is correct.

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Answer:

the correct answer is 13/17

I got it right on edge 2022

Step-by-step explanation:

[tex]\text{Vertical angles are equal, so}[/tex]

[tex]~~~~~~15n-2 = 13n+12\\\\\implies 15n-13n = 12+2\\ \\\implies 2n = 14\\\\\implies n = \dfrac{14}2 \\\\\implies n = 7[/tex]

Answer:

Follow my directions:

Step-by-step explanation:

Your Slope-Intercept Form: y=2x-7

1.) Find (0,-7) that shall be your y-intercept.

2.) From your y-intercept [ (0,-7) ]  you need to go up 2 and over 1.

**Meaning go up on the y-axis 2 times and go right 1.

84°

Step-by-step explanation:

diameter=168/2

=84°

Answer:

The second answer is decreases.

Step-by-step explanation:

As X -value increases, the y-value decreases. If you reply back with the options for the first half of the question I'll do my best to answer that as well

Answer:

x = 26

angle QOR = 31

angle ROS = 59

Step-by-step explanation:

[tex](x + 5) + (2x + 7) = 90\\ 2x + x + 5 + 7 = 90 \\ 3x + 12 = 90 \\ 3x = 90 - 12 \\ 3x = 78 \\ x = 78 \div 3 \\ x = 26[/tex]

Sub x in

[tex](x + 5) \\ 26 + 5 = 31[/tex]

and

[tex](2 \times 26 + 7) \\ = 52 + 7 \\ = 59[/tex]

[tex]y = ab^x \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=0\\ y=14 \end{cases}\implies 14~~ = ~~ab^0\implies 14=a(1)\implies 14=a~\hfill \underline{y=14b^x} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=6\\ y=896 \end{cases}\implies 896~~ = ~~14b^6\implies \cfrac{896}{14}=b^6 \\\\\\ 64=b^6\implies \sqrt[6]{64}=b\implies 2=b~\hfill \underline{y=14(2)^x}[/tex]

Answer:

Slopem=74

As a decimal:

m = 1.75

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

To determine if the inverse of g(x) is a function, we will use the horizontal line test.

A horizontal line will pass through more than one point, so it is not a function

Answer:

C. 48.98 m

Step-by-step explanation:

[tex]2\pi(7.8) = 15.6\pi = 49.01[/tex]

Answer:

option A

Step-by-step explanation:

The concept of parallel refers to lines that are perfectly relative to another

if you want to memorize this concept. always think of the EQUAL sign.

=

the equal sign has two lines that are perfectly horizontal. no matter if they are inclined, both lines reflect each other.

Answer:

------- HappY LearninG <3 ------

This is our y intercept

This is our slope or rate of change

So

The equation becomes

Where m is miles driven

The no. of miles not including any tip the taxi traveled is 22 miles.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, The taxi company charged a pick-up fee of $3.20 plus $2 per mile.

Let, 'm' be the no. of miles and the total fare was $47.20.

Therefore, The numerical form of these statements is,

2m + 3.20 = 47.20.

2m = 47.20 - 3.20.

2m = 44.

m = 44/2.

m = 22.

So, The taxi traveled 22 miles.

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Answer:

1. 0 & 2

2. 5

3. 10

4. 17

hope this helps!

Answer:

3.74 mph

Step-by-step explanation:

412÷110=3.74

Answer:

569.49$

Step-by-step explanation:

7.25% = .0725

530.99 x 0.725 = 38.50

530.99$ + 38.50$

569.49$

Answer:

The value of x = 109°

angle PQS = 24°

Step-by-step explanation:

24° + 47° + x = 180° { angles on straight line }

=> 71 ° + x = 180°

=> x = 180° - 71°

=> x = 109°

Now,

Angle PQS = 24°

angle PQS = angle QSR { alternative angle }

Step-by-step explanation:

a)(i) x=109°

(ii)It's given that PST is straight line then PST=180°,and

PST=QSP+QSR+x

180° =47°+24°+x

180°=71°+x

180°-71°=x

109°=x

b)(i)PQS=71°

(ii)we know opposite angles are equal in parallelogram

so PSR=PQR=71°

Answer:

72+30=102

Step-by-step explanation:

0+2=2

7+3=10 so the answer

10

+002

102

Answer:

44.000000001 (exact) or rounded up 44

Step-by-step explanation:

14.666666667*3 because 1 yard= 3 feet

One yard is 3 feet, which means we will have to mutliple 14 2/3 by 3.

14 x 3 =42

2/3 of a yard is 2 feet, which means we must add 2 to 42--->

42+2= 44

14 2/3 yards is 44 feet.

Hope This Helps <3