Which choice could be modeled by a linear function?

A. The amount, y, of radioactive material remaining after x years when decay occurs at rate 30% each year.

B. The amount of money, y, In an account after x years earning 4% interest compounded annually.

C. The height, y, of a ball after bouncing x times, if each bounce reaches 2/3 the previous height.

D. The monthly cost, y, to use a cell phone for x minutes at a rate of 4 cents per minute.

Answer:

Hi, The.

The domain of a function is the set of all possible values for x. The range is all possible values for y.

You should be able to see these pretty easily from the graph. If I understand your function correctly:

f(x) = square root(x+2) - 3

then x cannot be less than -2. Your domain is x > -2. In interval notation [-2,∞)

The lowest value for y is -3 so the range is y > -3. In interval notation [-3,∞)

Hope this helps!

Answer:

a ko ans

= 2×2+9

=4+9

= 13ans

Answer:

688 people

Step-by-step explanation:

Answer:

fhshegshffdfsfjdegddfhgfedhdrgdddetfrdesjdhgdhdjdjdhdhdjdjejdhdhdjdjhhgwhejdjdhdsewwhehsjrhdgddjdjfhwhdddfjfhshdjjhdhdjdjffjdjshwghhjrjehwhhejjfjfjejehekwkjjhfkwkejhsekskwjdjfjjt

Step-by-step explanation:

fhjjhcnncxfgnnng

Answer: [tex]\sqrt{96}[/tex] or [tex]4\sqrt{6}[/tex], if you want the decimal form then its 9.79.

Step-by-step explanation:

14²-10²=96

[tex]\sqrt{96}[/tex] or [tex]4\sqrt{6}[/tex], if you want the decimal form then its 9.79.

Answer: 9a^4 - b^2

= (3a^2)^2 - b^2  

= (3a^2 + b)(3a^2 - b) using a^2 - b^2 = (a+b)(a-b)

hope it helps.

Answer:

x=15

Step-by-step explanation:

Answer:

Explanation:

2/3 (x-6) = 6

2x/3 - 12/3 = 6

(2x-12)/3 = 6

2x-12 = 18

2x = 18+12

2x = 30

x = 15

Answer:

66x40

Step-by-step explanation:

Answer:

x= 180 - (66+40)= 74

Answer:

sometimes

Step-by-step explanation:

Answer:

sometimes

hope it helps.

9514 1404 393

Answer:

  1,953,125

Step-by-step explanation:

The first term is a1 = 5; the common ratio is r = -25/5 = -5. The generic term is ...

  an = a1×r^(n-1)

  an = 5×(-5)^(n-1)

So, the 9th term is ...

  a9 = 5×(-5)^(9-1) = 1,953,125

Answer:

-1

Step-by-step explanation:

[tex] \sqrt{9 - 4 \sqrt{2} } - 2 \sqrt{2} \\ \\ = \sqrt{8 + 1 - 4 \sqrt{2} } - 2 \sqrt{2} \\ \\ = \sqrt{8 - 4 \sqrt{2} + 1} - 2 \sqrt{2} \\ \\ = \sqrt{ {(2 \sqrt{2}) }^{2} - 2 \times 2 \sqrt{2} \times 1 + {1}^{2} } - 2 \sqrt{2} \\ \\ = \sqrt{( {2 \sqrt{2} - 1)}^{2} } - 2 \sqrt{2} \\ \\ (2 \sqrt{2} - 1) - 2 \sqrt{2} \\ \\ = 2 \sqrt{2} - 1 - 2 \sqrt{2} \\ \\ = - 1[/tex]

Answer:

The answer is 25 plants because all the frequencies add up to 25. While this graph could represent plants when they’re growing, all bars would be the same length though as all plants would hit a certain height.

B) Interval 150-155 has the highest frequency as 8 plants are 150-155cm.

Step-by-step explanation:

Answer:

On the 10th day, the suit should cost around $11.38.

Step-by-step explanation:

It was a long process. Not sure if it is right because that price drop is very drastic, but these math problems are always extreme. LOL

Good Luck!!

Answer: X = 2 so Y=25, hope this helped!!

Step-by-step explanation:

Answer:

The amount of oil was decreasing at 69300 barrels, yearly

Step-by-step explanation:

Given

[tex]Initial =1\ million[/tex]

[tex]6\ years\ later = 500,000[/tex]

Required

At what rate did oil decrease when 600000 barrels remain

To do this, we make use of the following notations

t = Time

A = Amount left in the well

So:

[tex]\frac{dA}{dt} = kA[/tex]

Where k represents the constant of proportionality

[tex]\frac{dA}{dt} = kA[/tex]

Multiply both sides by dt/A

[tex]\frac{dA}{dt} * \frac{dt}{A} = kA * \frac{dt}{A}[/tex]

[tex]\frac{dA}{A} = k\ dt[/tex]

Integrate both sides

[tex]\int\ {\frac{dA}{A} = \int\ {k\ dt}[/tex]

[tex]ln\ A = kt + lnC[/tex]

Make A, the subject

[tex]A = Ce^{kt}[/tex]

[tex]t = 0\ when\ A =1\ million[/tex] i.e. At initial

So, we have:

[tex]A = Ce^{kt}[/tex]

[tex]1000000 = Ce^{k*0}[/tex]

[tex]1000000 = Ce^{0}[/tex]

[tex]1000000 = C*1[/tex]

[tex]1000000 = C[/tex]

[tex]C =1000000[/tex]

Substitute [tex]C =1000000[/tex] in [tex]A = Ce^{kt}[/tex]

[tex]A = 1000000e^{kt}[/tex]

To solve for k;

[tex]6\ years\ later = 500,000[/tex]

i.e.

[tex]t = 6\ A = 500000[/tex]

So:

[tex]500000= 1000000e^{k*6}[/tex]

Divide both sides by 1000000

[tex]0.5= e^{k*6}[/tex]

Take natural logarithm (ln) of both sides

[tex]ln(0.5) = ln(e^{k*6})[/tex]

[tex]ln(0.5) = k*6[/tex]

Solve for k

[tex]k = \frac{ln(0.5)}{6}[/tex]

[tex]k = \frac{-0.693}{6}[/tex]

[tex]k = -0.1155[/tex]

Recall that:

[tex]\frac{dA}{dt} = kA[/tex]

Where

[tex]\frac{dA}{dt}[/tex] = Rate

So, when

[tex]A = 600000[/tex]

The rate is:

[tex]\frac{dA}{dt} = -0.1155 * 600000[/tex]

[tex]\frac{dA}{dt} = -69300[/tex]

Hence, the amount of oil was decreasing at 69300 barrels, yearly

Answer:

B) The cost of milk by the gallon.

C) The price of pears by the pound.

Step-by-step explanation:

A linear function is one that both the dependent and independent variables increases or decreases proportionally.

Thus from the given options:

i. If the gallons of milk increase, then the cost of milk also would increase proportionally. A decrease in the gallons of milk would also reduce the cost of milk.

ii. An increase in the pounds of the pearls would cause an increase in the price of the pearls. Also, a decrease in the pounds of pearls would reduce the price of the pearls.

Thus, the answers to the question are options B and C.

Answer:

The other guy is correct however he missed one

The Answer is actually A, B, C

Step-by-step explanation:

I took the test on Usa test prep.

Answer:

X= 2.4

Step-by-step explanation:

x = k/y............eqn1

18= k/4

k= 18×4

k= 72

Using the first equation

x= 72/30

x= 2.4

Answer:

-3/8, -3/16, 7/4

37.5

Hope this helps :T

Answer:

T = 4n - 5

Step-by-step explanation:

Ben = n

Chloe = 2n

Dan = n - 5

n + 2n + (n - 5) = T years

3n + n - 5 = T years

4n - 5 = T years

Answer:

D

Step-by-step explanation:

value of each:

A)  100/1000 + 20/1000 + 8/1000 = 128/1000 = 0.128

B)  3/10 = 0.30

C)  7/100 = 0.07

D)  24/1000 = 0.024

Answer:

The average yearly replacement cost is approximately $32,211,500

Step-by-step explanation:

 Exponential Distribution

P(X < x) = 1 - e -x/

[tex]P(X < x) = 1 - e^{\dfrac{-x}{\mu}}[/tex]

For the CPU, μ = 3 years

The probability that a CPU fails in less than 1 year is therefore;

P(C) = [tex]P(X < 1) = 1 - e^{\dfrac{-1}{3}} \approx 0.2835[/tex]

For the RAM, μ = 2 years

The probability that a RAM fails in less than 1 year is therefore;

P(R) = [tex]P(X < 1) = 1 - e^{\dfrac{-1}{2}} \approx 0.3935[/tex]

For the hard drive, μ = 5 years

The probability that a hard drive fails in less than 1 year is therefore;

P(H) = [tex]P(X < 1) = 1 - e^{\dfrac{-1}{5}} \approx 0.1813[/tex]

The probability that either a CPU, or a RAM or a hard drive fails in 1 year so that a replacement is required, P(C ∪ R ∪ H), is given as follows;

P(C ∪ R ∪ H) = P(C) + P(R) + P(H) - P(C∩R) - P(C∩H) - P(R∩H) + P(C∩R∩H)

∴ P(C ∪ R ∪ H) = 0.2835 + 0.3935 + 0.1813 - (0.2835 × 0.3935) - (0.2835 × 0.1813) -(0.3935 × 0.1813) + (0.2835 × 0.3935 × 0.1813) ≈ 0.64423

∴ P(C ∪ R ∪ H) ≈ 0.64423

There is a 0.64423 chance that a laptop will require replacement

For 100,000 laptops sold a year and a replacement cost of $500 per laptop, we have;

The average yearly replacement cost, 'Cost' is given as follows;

Cost = 500 × 100,000 × 0.64423 = 32,211,500

The average yearly replacement cost, Cost ≈ $32,211,500

Answer:

(b) we learn from the students that we should also help people who are in need

Step-by-step explanation:

hope it helps ❤️

Answer:I cannot see photo

The expressions equivalent to the given expressions are; (2y+12), 4(y/2+3) and 4(y/2-4+7)

An algebraic expression consists of unknown variables, numbers and arithmetic operators. It does not contain any equality or inequality symbols.

Given an expression, 4(7/8y-4-3/8y+7)

4(7/8y-4-3/8y+7) = 7/2y-16-3/2y+28

= 1/2(7y-32-3y+56)

= 1/2(4y+24)

= 2y+12

or, 4(1/2y+3) or 4(1/2y-4+7)

Hence, The expressions equivalent to the given expressions are; (2y+12), 4(y/2+3) and 4(y/2-4+7)

For more references on expression, click;

https://brainly.com/question/14083225

#SPJ2

Answer:

B. 1/3

Step-by-step explanation:

If we take the fist two boxes on top of the grid, we can divide 7 1/2 by 2 1/2 to find the ratio. In this case, the ratio is 3, meaning that for every cup of sugar their is 3 cups of flour. This means that 1 cup of flour would equal 1/3 cups of sugar.

Answer:

x=2

Step-by-step explanation:

x+19=21

subtract 19 so x can be by itself, move it to the 21 side

and subtract21-19=2

Answer:

You solve. for X. The photo is the work and answer

Answer:

48

Step-by-step explanation:

12*4=48