F(x)= 1/3 (4-x)^2 what is the value of f(16)

Answer:

i think the 25 ounce bottle

Step-by-step explanation:

Answer:

y^3 - y + 6

Step-by-step explanation:

I believe this is right

Answer:

The anti-derivative of f(x) will be:

[tex]\int \:10x^4+12.5dx=2x^5+12.5x+C[/tex]

Step-by-step explanation:

Given the function

[tex]\:f\left(x\right)=10x^4\:+\:12.5[/tex]

Taking the anti-derivative of f(x)

[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:[/tex]

[tex]\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx[/tex]

[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:=\int \:10x^4dx+\int \:12.5dx[/tex]

Solving

[tex]\int 10x^4dx[/tex]

[tex]\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx[/tex]

[tex]=10\cdot \int \:x^4dx[/tex]

[tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1[/tex]

[tex]=2x^5[/tex]

similarly,

[tex]\int 12.5dx[/tex]

[tex]\mathrm{Integral\:of\:a\:constant}:\quad \int adx=ax[/tex]

[tex]=12.5x[/tex]

so substituting these values

[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:=\int \:10x^4dx+\int \:12.5dx[/tex]

                                [tex]=2x^5+12.5x[/tex]

                               [tex]=2x^5+12.5x+C[/tex]   ∵ Add constant to the solution

Therefore, the anti-derivative of f(x) will be:

[tex]\int \:10x^4+12.5dx=2x^5+12.5x+C[/tex]

Answer:

y = 125x + 75

Step-by-step explanation:

Let x represents the week and

Let y represent the balance

When x = 2, y = 325.

This means

(x1,y1) = (2,325)

When x = 5, y = 700

This means

(x2,y2) = (5,700)

Required

Determine the equation

First, we need to solve for m, the slope

m = ∆y/∆x

i.e.

m = (y2 - y1)/(x2 - x1)

Substitute values for x and y

m = (700 - 325)/(5 - 2)

m = 375/3

m = 125

Next, we calculate the equation in slope intercept form using

y - y1 = m(x - x1)

Substitute values for m, x1 and y1

y - 325 = 125(x - 2)

y - 325 = 125x - 250

Collect like terms

y = 125x - 250 + 325

y = 125x + 75

Hence, the equation is:

y = 125x + 75

Answer: x=-125+950

Step-by-step explanation:

The value went from 700 to 325 in 3 weeks

700-325= 375 /3 =125

0=950

1=825

2=700

3=575

4=450

5=325

Answer:

150 degrees

Step-by-step explanation:

(Sorry, I know you don't want one but I posted this and then started editing it so hopefully you saw the answer already and I'm not delaying you or anything)

The interior of a quadrilateral always adds up to 360 degrees. y+80 = 180 degrees since they're on a straight line.

We have 3 angles: y = 100, 50, and 60.

360 - (100+50+60)

= 360 - 210

= 150

Answer:the product of the first 3 terms of a G.P is 1000 if we add 6 to its second term and 7 to its third term the three forms an A.P .find the terms of G.P​

Step-by-step explanation:

the product of the first 3 terms of a G.P is 1000 if we add 6 to its second term and 7 to its third term the three forms an A.P .find the terms of G.P​

Answer:

What grade is this?

-by-step explanation:

Answer:

The total plots of vegetable cloud will have: 19

Step-by-step explanation:

As the cloud has:

So, the total plots of vegetable cloud will have:

[tex]8\frac{4}{15}+5\frac{1}{3}+5\frac{2}{5}[/tex]

[tex]=\frac{124}{15}+\frac{16}{3}+\frac{27}{5}[/tex]

[tex]=\frac{124}{15}+\frac{80}{15}+\frac{81}{15}[/tex]

[tex]=\frac{124+80+81}{15}[/tex]

[tex]=19[/tex]

Therefore, the total plots of vegetable cloud will have: 19

Answer:

m

Step-by-step explanation:

Answer:

sometimes

Step-by-step explanation:

The three altitudes in an acute triangle all lie in the interior of the triangle and intersect inside the triangle. Two of the three altitudes in a right triangle are the legs of the triangle.

Answer:

x = 41/3

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

7(1x - 3) = 4(x + 5)

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Here, we see that 224/3 is indeed equivalent to 224/3. ∴ x = 41/3 is a solution to the equation.

And we have our final answer!

Answer:

k=±6/7

Step-by-step explanation:

At part (b)

1 - 0

2- Asin(kt) +Acos(kt)

3- 36A

4- 36-49k^2

5- 0

6- 36/49

Answer:

the anwser is (5,2) and  (-5,-2)

Step-by-step explanation:

Answer:

heres the answer

Step-by-step explanation:

Answer: x = 3

Step-by-step explanation:

if two triangles are congruent, that means thy have the same sides and angles.

6x + 8 = 9x - 1

-6x +1.    -6x +1

9 = 3x

divide both sides by 3 to get x by itself

x = 3

The required correct answer is (a) x-intercept is (-8,0) and the y-intercept is (0,8).

In the context of a linear equation, an intercept is a point where the graph of the equation crosses or intersects with one of the axes in a coordinate system. There are two types of intercepts:

Here,
To find the x-intercept, we set y = 0 in the equation y = x + 8 and solve for x:

0 = x + 8

x = -8

Therefore, the x-intercept is (-8, 0).

To find the y-intercept, we set x = 0 in the equation y = x + 8 and solve for y:

y = 0 + 8

y = 8

Therefore, the y-intercept is (0, 8).

So the correct answer is (a) the x-intercept is (-8,0) and the y-intercept is (0,8).

Learn more about intercept here:
https://brainly.com/question/3605446

#SPJ7

Answer:

x = 4

Step-by-step explanation:

the explanation is in the images

Answer:

ok

Step-by-step explanation:

Suus

But Ok

[Sus music]

Answer:

135%

Step-by-step explanation:

The quarters percentage is 125% and the dime is 10% and that equals 135%

Answer:

C

Step-by-step explanation:

Convert to improper fraction and multiply them, then convert back to mixed fraction :)

Answer:

C .      The answer can be simplified but its not on here for some reason.

Step-by-step explanation:

6 2/6 x 1 1/2

(6 x 6) + 2 = 38/6

(1 x 2) + 1 = 3/2

38/6 x 3/2 = 114/12

114 ÷ 12 = 9 6/12.

9 6/12 = 9 3/6 = 9 1/2.

C

Again it can be simplified buts it not on here for some reason.

This question is incomplete, the complete question is;

A 90% confidence interval for the mean height of a population is 65.7 < μ < 67.3

This result is based on a sample of size 169.

Construct a 99%confidence interval.

Answer: at 99%, confidence interval is [ 65.2, 67.8 ]

Step-by-step explanation:

Given that;

confidence level = 90%

∝ = 1 - 90% = 1 - 0.9 = 0.1

the mean height of a population is 65.7 < μ < 67.3

so

x" - t_∝/2, n-1{standard Error] = 65.7  ----let this be equation 1

x" + t_∝/2, n-1{standard Error] = 67.3 -----let this be equation 2

where t∝/2, n-1 = t_0.1/2, 169 - 1 = t_0.05, 168 = 1.654    (t table)

now we add equation one and equation two

2x" = 65.7 + 67.3 = 133

x" = 66.5

next we subtract equation one from equation two

(x" + t_∝/2, n-1{standard Error]) - (x" - t_∝/2, n-1{standard Error])

= 67.3 - 65.7 = 1.6

so

2 × t_∝/2,n-1 × standard Error  = 1.6

standard Error = 1.6 / (2 × t_∝/2,n-1)

we substitute

Standard Error = 1.6 / ( 2 × 1.654 ) = 1.6 / 3.308 = 0.48367

Now 99% confidence interval for μ is given as;

∝ = 1 - 0.99 = 0.01

x" ± t_∝/2, n-1{standard Error]

(x" ± t_0.01/2, 169-1 [standard Error])

where t_0.005, 168 = 2.6054  (t table)

now for Lower Bound: (x" - t_0.005, 168 [standard Error])

Lower Bound : ( 66.5 - (2.6054 × 0.48367))

= 66.5 - 1.26015 = 65.2398

Upper Bound : ( 66.5 + (2.6054 × 0.48367))

= 66.5 + 1.26015 = 67.7602

Therefore at 99%, confidence interval is [ 65.2, 67.8 ]

Answer:

Markdown is a reduction in the price of a product, made either by a commercial promotion, by a limited-time offer, by a discount due to a failure in the product, or any other situation that implies the realization of said reduction in the final price of the product for sale.

Thus, if the original price of the product is $282, and it has a markdown of 10%, to determine the discounted amount and the final price of the product, the following calculation must be made:

282 x 0.10 = X

28.2 = X

Thus, the discount on the original price is $ 28.20. Therefore, the final sale price will be $ 253.80 (since 282 - 28.20 is equal to that number).

Answer:

2.20

Step-by-step explanation:

2.20

Answer:

3.50 per almonds

1.50 jelly beans

Step-by-step explanation:

x=25.5

Step-by-step explanation:

6x-3+3x+6+5x=360

14x+3=360

14x=360-3

x=357/14

x=25.5

Answer:

y=mx+b 58

Step-by-step explanation:

Answer:

The slope is 3/1

Step-by-step explanation: