Which of the following situations can be modeled by the expression 5 - (-3)?

Kylie is three years younger than Tyler, and Claire is five years older than Kylie. How many years separate Tyler and Claire?
Kylie is three years younger than Tyler, and Claire is five years older than Tyler. How many years separate Kylie and Claire?
None of the above.
Kylie is three years younger than Tyler, and Claire is five years younger than Tyler. How many years separate Kylie and Claire?

Answer:

[tex]\boxed{(0, 0), (\sqrt{6}, -12-3\sqrt{6}), (-\sqrt{6}, -12+3\sqrt{6})}[/tex]

Step-by-step explanation:

Step 1: Take the derivative of the function with respect to x

[tex]\frac{d}{dx} (\frac{1}{3}x^4-4x^2-3x)\\=\frac{d}{dx} (\frac{1}{3}x^4)-\frac{d}{dx}(4x^2)-\frac{d}{dx}(3x)\\=\frac{4}{3}x^3-8x-3[/tex]

Now, you have the gradient of every point given the x value. We want the gradient to be -3, so,

Step 2: Set the derivative of the function equal to -3 and solve for x

[tex]\frac{4}{3}x^3-8x-3=-3\\\frac{4}{3}x^3-8x=0\\4x(\frac{1}{3}x^2-2)=0\\[/tex]

We can see that one solution is x=0.

The other 2 solutions are:

[tex]\frac{1}{3}x^2-2=0\\\frac{1}{3}x^2=2\\x^2=6\\x=\sqrt{6}, x=-\sqrt{6}[/tex]

Now that we found out the x value, we can plug it in back to the equation to find their respective y value:

x=0: y=0

x=sqrt(6): y=-12-3sqrt(6)

x=-sqrt(6): y=-12+3sqrt(6)

Hence we have our answer.

Answer:

Y would equal X on Day 65

Step-by-step explanation:

Im guessing by looking at the chart

Answer:

One line represents something getting heavier over time, while the line pointing down represents something getting lighter over time at a slightly slower rate.

Answer:

i think r would be the same as q

Step-by-step explanation:

I believe it's an isosceles triangle, if there were a line going down the center,  each half should be symmetrical, so q and r are the same angle.

Answer:

32.5

Step-by-step explanation:

A triangle's angles add up to 180 degrees

(2x+15)+x+(x+35)=180

x=32.5

Answer:

3

Step-by-step explanation:

Answer:

g(2)=(4x) +2=7y

g(3)=4(x+2)

Answer:

A. 10/14

and

C. 15/21

Step-by-step explanation:

A. 10/14

and

C. 15/21

Answer: 30%

Step-by-step explanation:

It increased by 15 so it increased by 15/50=30/100=30%

I hope this helped!

Answer:

105.876373581

Step-by-step explanation:

8.563 + 4.8292 = 13.3922

13.3922 × 9.183 = 122.9805726

122.9805726 ÷ 1.192 = 103.171621309

103.171621309 ÷ 1.192 = 86.5533735811

86.5533735811 + 19.323 = 105.876373581

Step-by-step explanation:

8.563+4.8292=A

( A*9.183)÷1.192÷1.192=B

B+19.323=C

Answer: b. liquid asset.

The money in your checking account, savings account, or money market account is considered liquid because it can be withdrawn easily to settle liabilities.

A savings account is a liquid asset that can be easily converted into cash. Hence, option b  is correct.

A savings account is considered a liquid asset because it can be easily converted into cash without any significant loss in value.

Unlike long-term assets that may require a lengthy process to convert into cash, such as real estate or investments, savings accounts offer quick access to funds.

This makes them highly liquid and suitable for short-term financial needs. Liquid assets provide individuals with a sense of financial security and flexibility, as they can be readily used to cover emergencies, expenses, or investments.

Overall, a savings account serves as a convenient and safe option for individuals to save and access their money when needed.

Hence, It is an example of a liquid asset which is option b.

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Answer:

C7,3=7!( 3!)( 7−3)!= 7! I think tell me if I'm wrong?

Answer:

7C3 = 7! / (7 - 3)! 3! = 7 x 6 x 5 x 4! / 4!

Answer:

3x²+3x-7

Step-by-step explanation:

(f+g)(x)=2x²+x²+3x-7

=3x²+3x-7

240 because i am smart and also nice pencil

Step-by-step explanation:

Using the function concept, it is found that f is a function, as each student is related to only one GPA and only one number of credits.

In a function, one value of the input can be related to only one value of the output.

In this problem:

Each student is related to only one GPA and only one number of credits, hence one value of the input is related to only one value of the output, and f is a function.

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Answer:

D. x=y+2z

Step-by-step explanation:

if you expand out the first equation (x) you will get: a^2+b^2+c^2+2ab+2bc+2ac

then looking at all of the choices, it can be seen that the third equation (z) needs to be multiplied by to get 2ab+2bc+2ac and then added to the second equation (y) which would result in D being the correct answer.

D. x=y+2z

Answer:

It's C. for plato. It's a rectangle

Step-by-step explanation:

Answer:

its a rectangle .

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

one trip = 2724 miles

one round trip = 2 trips = 2724 * 2 = 5448 miles

We want to see how many round trips go into the miles needed for a free flight. We want to see how many times 5448 goes into 25000. To do this, we can use division.

25000/5448 ≈ 4.6

If we only have 4 round trips, it will not be enough for 4.6, so we will not be able to obtain a free flight. If we have 5, we will be able to, as 5 > 4.6

Answer:

Step-by-step explanation:

The decimal point will help you find your way here. Just to the right of the decimal is the tenths place. 0.4 is the number four tenths.

Next, farther to the right is the hundredths place-- 0.04 is the number four hundredths.

Next over is the thousandths place-- 0.004 is the number four thousandths. And finally, the next over is the ten thousandths place...like this, 0.0004 is the number four ten thousandths

So, 1) 12.00535 has a one in the tens place, a two in the ones place, zeros in the tenths and also the hundredths places, fives in the thousandths place and also the hundred thousandths place, AND, what you're looking for-- a 3 in the ten thousandths place.

1) 3

2) 4

3) 5

4) 6

5) 7

6) 8

7) 9

For ten thousandths place, you're looking at the fourth spot on the right side of the decimal.

Answer:

85*65=5525

85*43=3655

5525-3655=1870

Hope This Helps!!!

Answer:

He works until 5:30.

Step-by-step explanation:

ok so first, every day don would take a total of 7 hours and 30 minutes on mon-Thurs. If we subtract his lunch from that total it would be 7 hours so next we do 7 hours times 9.75 which is 68.25$. Now that we know how much he makes per day, we times that by 4 since mon-thurs is 4 days. This would be 273$. Now we need to get to 360.75 so we subtract that. This would be 87.75$. Now if a normal day is 68.25$ and friday is 87.75, we find the diffrence which is 19.50. which is also 9.75(an hour) x 2 resulting in 2 hours extra. Therefore, he works 9 hours and 30 minutes on fridays (until 5:30). Thanks for putting in the work to understand and have a nice day!

Don must work approximately 9 additional hours on Friday to have a total pay of $360.75 for the week.

Don works from 8:00 AM to 3:30 PM Monday through Thursday. Let's calculate his total work hours for these four days:

Total work hours from Monday to Thursday:

(3:30 PM - 8:00 AM) - 0.5 hours (lunch break)

= 7.5 hours - 0.5 hours

= 7 hours (per day)

Total work hours for the week (Monday to Thursday):

4 days x 7 hours/day = 28 hours

Total pay for the week = Hourly rate x Total work hours + Additional hours on Friday

$360.75 = $9.75 x 28 hours + Additional hours on Friday

Additional hours on Friday = ($360.75 - $9.75 x 28) / $9.75

Additional hours on Friday = ($360.75 - $273) / $9.75

Additional hours on Friday = $87.75 / $9.75

Additional hours on Friday ≈ 9 hours (rounded to the nearest hour)

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Answer:

-1.5

Step-by-step explanation:

24 : 32 is the ratio between y and x respectively. To change a number but keep the ratio equal, we must divide/multiply both sides by the same amount.

First, we can say that we want to change x to -2. 32/-2 = -16, so we must divide both sides by -16 to keep the ratio but change x to 02

24 : 32 = 24/(-16) : -2 = -1.5 : -2

Answer:

(i)= 45 KPH, (ii) = 251 miles

Step-by-step explanation:

'Per' essentially means divide. Thus, to find Kilometres per hour, divide 270 by 6= 45. The bus is travelling at 45 KPH.

Then, to see how far a nine hour trip would cover, distance = speed * time =  251 miles.

Answer:

Below.

Step-by-step explanation:

(i) Speed of the bus = 270/6 = 45 km/hour.

(ii) In 9 hours it travels 45 * 9 = 405 km.

Multiply each payout by the corresponding probability, and add these up:

1•0.35 + 2•0.2 + 5•0.1 + 8•0.2 + 10•0.15 = 4.35

So one can expect to win $4.35 from playing the game.

The population of the town be in 2010 will be 121634, and it will take 21 years for the population to get to 50000

The population model is given as:

[tex]P(x) = 3485e^{0.125x}[/tex]

(a) The population in 2010

In 2010, the value of x is 10.

So, we have:

[tex]P(10) = 3485 * e^{(0.125 \times 10)}[/tex]

Evaluate the exponent

[tex]P(10) = 3485 * e^{(1.25)}[/tex]

This gives

[tex]P(10) = 121634[/tex]

(b) Year to reach 50000

This means that P = 50000.

So, we have:

[tex]50000 = 3485e^{0.125x}[/tex]

Divide both sides of the equation by 3485

[tex]14.35 = e^{0.125x}[/tex]

Take natural logarithm of both sides

[tex]\ln(14.35) =0.125x[/tex]

[tex]2.66 =0.125x[/tex]

Divide both sides by 0.125

[tex]21.28 = x[/tex]

Rewrite as:

[tex]x =21.28[/tex]

Approximate

[tex]x =21[/tex]

Hence, the population of the town be in 2010 will be 121634, and it will take 21 years for the population to get to 50000

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Answer:

3 dregreess 5 degrees temperature

Answer:

A.

Step-by-step explanation: