For the polynomial, (((x^3)+3x+2)/5)+((5x^2)/2)-(x^6)
a. Determine the coefficient of x^3.
b. Determine the coefficient of x^6.
c. Determine the constant of the term
polynomial.
d. Determine the degree of the polynomial.

Answer:

$ 23,145

Step-by-step explanation:

This is a compound interest question where the interest is compounded continuously. Hence, the formula for the value of total amount of investment is:

A = P×e^rt

Where:

A = Total value of investment after t years

P = Principal or Initial amount invested = $6,000

e = Exponential function

r = interest rate = 9% = 0.09

t = time in years = 15

So:

A = $6000 × e^15 × 0.09

A = $6000 × e^1.35

A = $23,144.553184

Approximately , A ≈$23,145

Therefore, the value (in dollars) to the nearest cent of Rochelle's investment in 15 years if the investment is earning 9% per year and is compounded continuously is $23,145.

Work Shown:

Solve for y. Then replace y with f(x).

[tex]680x + 10y - 1000 = 0\\\\10y - 1000 = -680x\\\\10y = -680x + 1000\\\\y = \frac{-680x + 1000}{10}\\\\y = \frac{-680x}{10} + \frac{1000}{10}\\\\y = -68x + 100\\\\y = 100 - 68x\\\\f(x) = 100 - 68x\\\\[/tex]

Effectively this involves adding 1000 to both sides and subtracting 680x from both sides, afterward we divide both sides by 10 to isolate y.

Answer:

choice B

Step-by-step explanation:

I did this problem like 6 months ago......

Answer:

So the equation of the parabola is x2=8y i don't really know

Answer:

x=-10

x=-5

-10+-5=15

Step-by-step explanation:

answer 15

First go to the y intercept (or the b in y=mx+b) look for the slope and plot the points on the graph they're talking about e.g. #23 the y-intercept is 6 go to the 6 on the y axis, and then look at the slope (x), so it goes up and over to the right since it's positive by 1

Answer:

The answer of this question is 78°.

Step-by-step explanation:

Let angle X be denoted by y then angle Z=y (because isosceles angles of a traingle is equal)

Now,

y+y+24°=189°

2y+24°=180°

2y=180°-24°

y=156/2

y=78°

Answer:

so the answer is 78°

Step-by-step explanation:

Uhm I hope it helps

Step-by-step explanation:

Hi there!

Given;

Point Q is located at (-4, 6). Point R is located at (8, 6).

Note: Use distance formula.

Now;

[tex](d) = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]

Keep all values;

[tex](d) = \sqrt{ {(8 + 4)}^{2} + ( {6 - 6)}^{2} } [/tex]

Simplify;

[tex](d) = \sqrt{( {12)}^{2} } [/tex]

Therefore, the distance is 12 units.

Hope it helps!

Answer:

y- intercept= -8

slope= 1

Step-by-step explanation:

Looking at the question, the y- intercept is always the number were the line on the graph passes over on the y- axis. The slope is always the number with x in front of it.

Answer:

Y-intercept = -8

Slope = 1

Step-by-step explanation:

The Y-intercept is the constant or the integer in the equation.

So, the y-intercept is "-8".

The slope is the number with which "x" is multiplied with.

So, the slope is 1, because 'x' and '1x'  are similar; therefore the slope is 1.

Answer:

6, 7

Step-by-step explanation:

6 x 7 = 42

Answer: A) Reflection along the line y = -1

===========================================================

Explanation:

Point A is at (1,5). Point A' is at (1,-7).

Apply the midpoint formula to find the center of these two points.

You should get (1,-1) as that midpoint.

Follow these steps for B(-1,3) and B'(-1,-5) to get the midpoint (-1,-1)

Those midpoints we found are located on the mirror line. We only need two such points to plot it. Drawing a line through (1,-1) and (-1,-1) graphs the equation y = -1. This is the horizontal line through -1 on the y axis.

Answer:

B

Step-by-step explanation:

To get from 60 to 75, you multiply by a certain factor. That factor is 75/60 = 1.25. In percents this is 125%

60 * 125% = 75

So if 60 is 100%, then 75 is 25% more than 60.

Answer:

B

Step-by-step explanation:

5 divided by 2 is 5/2

Answer:

B

Step-by-step explanation:

5/2 the (/) is the divide sign

Julio's normal hourly rate (r) is equal to $11.8 per hour.

Translating the word problem into an algebraic expression, we have;

[tex]30r[/tex] ......equation 1

[tex](35 - 30)[/tex] × [tex]1.4r[/tex] [tex]= 5[/tex] × [tex]1.4r[/tex]

[tex]5[/tex] × [tex]1.4r = 7r[/tex]  .....equation 2

Next, we would equate the expressions to the total amount of money earned by adding eqn 1 and eqn 2.

[tex]30r + 7r = 436.60\\\\37r = 436.60\\\\r = \frac{436.60}{37}[/tex]

Julio's normal hourly rate, r = $11.8 per hour.

Therefore, Julio's normal hourly rate (r) is equal to $11.8 per hour.

Find more information: brainly.com/question/8409825

Answer:

1. tan A = 1/(tan B)

Step-by-step explanation:

By definition,

tangent A = opposite / adjacent = a / b

and

tangent B = opposite / adjacent = b / a

Therefore tangent A = a/b = 1/tan(B)

Answer: Tan a=tan b

I belive

Step-by-step explanation:

Answer:

[tex]\huge \boxed{430=2 \times 5 \times 43}[/tex]

Step-by-step explanation:

Using factor tree,

Answer:

[tex]\large\boxed{2, 5, 43}[/tex]

Step-by-step explanation:

                                                          430

                                                      /             \

                                                  215              2

The 2 cannot be factorized anymore, so I will put a small box around it.

                                                          430

                                                      /             \

                                                  215            [tex]\boxed{2}[/tex]

                                                  /  \                

                                             43     5

5 and 43 cannot be factorized any smaller.

                                                          430

                                                      /             \

                                                  215            [tex]\boxed{2}[/tex]

                                                  /  \                

                                             [tex]\boxed{43}[/tex]     [tex]\boxed{5}[/tex]

The prime factorization is the numbers in the boxes, which are 2, 5, and 43.

[tex]\large\boxed{2, 5, 43}[/tex]

Hope this helps :)

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If the formatting is not showing up correctly, please refer to the images of my answer below instead.

Answer:

B, C, E

Step-by-step explanation:

I just took the test

Answer:

i dont know if im correct but

Step-by-step explanation:

B, C, and E are the right ones hope it helps

Answer:

k = 14

Step-by-step explanation:

Prime factorize 32

32 = 2 * 2 * 2 * 2 * 2  = 2⁵

[tex]\frac{2^{12}}{2^{\frac{k}{2}}}= 32\\\\\frac{2^{12}}{2^{\frac{k}{2}}}=2^{5}\\\\2^{12-\frac{k}{2}}=2^{5}[/tex]

Both sides base are same.So, compare exponents

[tex]12-\frac{k}{2}=5\\[/tex]

Subtract 12 from both side

[tex]-\frac{k}{2}=5-12\\\\-\frac{k}{2}=-7\\[/tex]

Multiply both sides by (-2),

[tex](-2)*(-\frac{k}{2})=-7*(-2)\\\\k = 14[/tex]

Answer:

2611

Step-by-step explanation:

3125-2611= 514

for more answers check my bio

variable is in power so it exponential.

the constant and coefficient both are positive so it is exponential Growth.

Answer: 1

Step-by-step explanation:

so i put the amount of flour to servings into ratios (fractions)

28:14

9:12

10:13

then I put them into the same denominators

2184:1092

819/1092

840/1092

the first one is the greatest

Answer:

A. The data set has a median that is not in the data set

Step-by-step explanation:

The median of the data set is the middle  most number  because there is an even amount of number its 8+10/2 or 9 and that is not in the  data set. There is no mode because no number is repeated. The IQR is 12+14/2-4+6/2  or 8 so that means the correct answer is  a.

Answer:

see below

Step-by-step explanation:

The hypotheses is the if part of the statement ( after the if)

hypotheses:  it is January

The conclusion is the  then part of the statement ( after the then)

conclusion  there is snow

Answer:

0

Step-by-step explanation:

First, you need to try to get rid of the ().

To do this:

15 * 3 and 15 * x

This makes 45 and 15x after the = , so the formula is now:

15x + 45 = 45 + 15x

Now get the 15x to the left side. When a number switches sides, it becomes negative when positive and positive when negative. So in this case 15x will become -15x and the 45(on the left) becomes - 45

15x - 15x = 45 - 45

Answer: 0

Answer: [tex]\dfrac{1}{5}+\dfrac{1}{2}=\dfrac{7}{10}[/tex]

Step-by-step explanation:

A or B = A+B

Given: In a fish tank, [tex]\dfrac15[/tex] of the fish are guppies and [tex]\dfrac{1}{12}[/tex] of the fish are goldfish.

Then,  the fraction of the fish that are guppies or goldfish in the tank=[tex]\dfrac{1}{5}+\dfrac{1}{2}=\dfrac{2+5}{5\times2}[/tex]

[tex]\dfrac{7}{10}[/tex]

Hence, the equation most closely estimates the fraction of the fish that are guppies or goldfish in the tank:

[tex]\dfrac{1}{5}+\dfrac{1}{2}=\dfrac{7}{10}[/tex]

Answer:

slope = [tex]\frac{6}{5}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{6}{5}[/tex] x - 4 ← is in slope- intercept form

with slope m = [tex]\frac{6}{5}[/tex]

Answer:

6/5

Step-by-step explanation:

this equation is already in the slope intercept form, meaning the slope (gradient)is the coefficient of x( the number before x). in this case it's 6/5.

I hope this helps

Answer:

C

Step-by-step explanation:

f(x) = x - 2

f(2) = (2) - 2

f(2) = 0

A + B are wrong cuz..

f(-2) = -2 - 2

f(-2) = -4

Answer:

y(x)=2866.59*(1.06)^x

Step-by-step explanation:

Let the exponential equation be y=a*b^x. Using y(7) and y(4) we can find the value of b, y(7)/y(4)=b^3=4300/3619, b=1.06. Next, y(4)=a*(1.06)^4=3619, a=2866.59. The equation is y(x)=2866.59*(1.06)^x

Answer:

10 packs of dvds

Step-by-step explanation:

$180 / $18 = 10 packs

You can buy a maximum of 10 dvd packs

Answer:

you can buy 10 dvds that is thr answer