if f(x) = 3(x+5)+4/x, what is f(a+2)?

The area enclosed by the given 2 curves is; 8/3 or 2.67

We want to find the area enclosed by the curves;

y = x² - 2x

y = -x² + 2x

The point of intersection of the parabola and the line is given by;

x² - 2x = -x² + 2x

2x² - 4x = 0

Solving this gives;

x = 0, 2

Therefore, the area bounded by the parabola and the line between x = 0 and x = 2 is given as;

A = ∫₀² (-x² + 2x - x² + 2x)

A = ∫₀² (-2x² + 4x)

Using online integration calculator here gives;

A = 2.67

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Answer:

60

Step-by-step explanation:

140-80=60

Answer:

The numbers 1 to 12 must be placed in the circles of the star shown on the right. The sums of the numbers in each row, and the sum of the numbers in the six outer circles of the star, must be equal to 26. Arrange the numbers accordingly.

The equation that can be used to find the height of the tree is as follows:

[tex]\frac{h}{sin 29} =\frac{40}{sin147}[/tex]

The height of the tree is 35.6 m

Th equation that can be used to find the height of the tree uses the principle of sine rule.

Therefore,

[tex]\frac{h}{sin 29} =\frac{40}{sin(180-4-29)}[/tex]

[tex]\frac{h}{sin 29} =\frac{40}{sin147}[/tex]

Therefore,

[tex]\frac{h}{sin 29} =\frac{40}{sin147}[/tex]

cross multiply

h sin 147 = 40 sin 29°

h = 40 sin 29° / sin 147

h = 19.3923848099 / 0.54463903501

h = 35.6015636045

h = 35.6 m

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Answer:

[tex]\huge\boxed{\sf n = 49}[/tex]

Step-by-step explanation:

[tex]x^2-14x+n[/tex] ---------------(1)

We need to solve it using the following formula:

[tex]a^2-2ab+b^2=(a-b)^2[/tex]

Writing the middle term in the expression as 2ab

[tex](x)^2-2(x)(7)+n[/tex]

Form the expression, we come to now that

So, the we can write the expression as:

[tex](x)^2-2(x)(7)+(7)^2\\\\x^2-14n+49[/tex]

Comparing expression (1) with the above expression, we get:

[tex]\rule[225]{225}{2}[/tex]

Answer:

+5

Step-by-step explanation:

There is a length of 5 between all numbers, meaning that 5 is added to each number to get the next one.

I hope this helps!

hi

I cannot figure the number  2.16 thousand has it does not mean anything to me.

But the only thing you need to do is to add  15 times 220

so = 3300

Answer:

5,460 people

Step-by-step explanation:

2,160 + 220x is the expression. Now, we plug in 15 for x.

2,160 + 220(15)

2,160 + 3,300 = 5,460

Brainliest, please :)

Answer:4x/5-1/5 = y

Step-by-step explanation:

We need to get y by itself

4x+2=5y+3

subtract 3 from both sides

4x-1=5y

divide both sides by 5

4x/5-1/5 = y

Answer:

[tex]4x + 2 = 5y + 3[/tex]

[tex]5y + 3 = 4x + 2[/tex]

[tex]5y = 5x + 2 - 3[/tex]

[tex]5y = 4x - 1[/tex]

[tex] \frac{5y}{5} = \frac{4x - 1}{5} [/tex]

[tex]y = \frac{4x - 1}{5} [/tex]

Take the prime factorization of each factor in the product.

[tex]\dfrac{72 \times 78 \times 85 \times 90 \times98}{68 \times 84 \times 91 \times 108} \\\\ ~~~~~~~~ = \dfrac{(2^3\times3^2)\times(2\times3\times13)\times(5\times17)\times(2\times3^2\times5)\times(2\times7^2)}{(2^2\times17)\times(2^2\times3\times7)\times(7\times13)\times(2^2\times3^3)} \\\\ ~~~~~~~~ = \dfrac{2^6 \times 3^5 \times 5^2 \times 7^2 \times 13 \times 17}{2^6 \times 3^4 \times 7^2 \times 13 \times 17} \\\\ ~~~~~~~~ = 3 \times 5^2 = \boxed{75}[/tex]

The simplified expression of the given equation is  [tex]\frac{x^{2} + 4x + 6}{3x + 12}[/tex]

There are three basic steps for addition or subtraction of two fractions

The given expression :- [tex]\frac{x+6}{x+4} +\frac{x-3}{3}[/tex]

Taking LCM or making the denominators same we get,

= {3(x+6) + (x-3)(x+4)}/3(x+4)

= {3x + 18 + x² +x -12}/3(x+4)

={x² + 4x + 6}/3x + 12

= [tex]\frac{x^{2} + 4x + 6}{3x + 12}[/tex]

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Answer:

i believe its B

Step-by-step explanation:

Answer:

  1.14200738982×10^26

Step-by-step explanation:

Substitution can make this integral much easier to evaluate.

Let u = 7x² -x. Then du = (14x -1)dx. The limits on x become different limits for u:

  for x = 1: u = 7(1²) -1 = 6

  for x = 3: u = 7(3²) -3 = 60

  [tex]\displaystyle\int_1^3{(14x-1)e^{(7x^2-x)}}\,dx=\int_6^{60}{e^u}\,du=\left.e^u\right|^{60}_6\\\\=e^{60}-e^6\approx e^{60}\approx\boxed{1.14200738982\times10^{26}}[/tex]

Answer:

20

Step-by-step explanation:

Area of a rectangle = l*w

5*4 = 20

Answer:

x = 10

Step-by-step explanation:

∆RSE ~ ∆FGE

SE/ GE = RE/ FE

45/ 12x-3 = 55/ 143

3/ 3(4x - 1) = 11/ 143

11(4x-1) = 429

44x-11 = 429

44x = 440

x =10

The transaction price for Ayayai's product and the customer loyalty points are $92500 and 37000 points respectively.

Based on the information provided about Ayayai inc., the transaction price for their product and the customer loyalty points would be allocated as follows:

                                            SSP            PA              TTP                    AA____

Product purchases       $370,000       80%         $370,000         $296,000

Loyalty points               $92,500*       20%         $370,000         $74,000__

                                      $462,500                                                 $370,000

*37,000 × 2.50 = $92,500

Note:

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Answer:

Step-by-step explanation:

Answer:

in total she spent 10900

Step-by-step explanation:

We know she made a down payment of 2500 dollars and she agreed to pay the balance in 24 monthly installments of 350 dollars. Thus we can do simple multiplying of 24 x 350 which gives us 8400. We also need to add in her down payment which is 2500 so in total we got 10900

The length if the upper portion of the stand is 33. 56 inches

The formula for the finding the length is given thus;

Total height = length of upper portion + length of base

Where

Length of base = 257/16

Total height = 591/2

Length of upper portion = total height - length of base

= 118/2 - 407/16

= 59 - 25. 44

= 33. 56 inches

Thus, the length if the upper portion of the stand is 33. 56 inches

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If $11,000 is invested, $33,000 is the value of the investment at the end of 25 years if the interest is 8% simple interest and $75,333.23 is the value of the investment at the end of 25 years if the interest is 8% compounded annually. This can be obtained by using formulas for simple interest and compound interest.

A = P(1 +Rt/100) , P = principle amount ,R = rate of interest, t = time(in years)

A = P(1 + R/100)^t , P = principal amount, R = rate of interest,                                t = time(in years)

Given that,  

P = $11,000 , R = 8%,  t = 25 years

A = P(1 +Rt/100) = [tex]11000(1+\frac{(8)(25)}{100} )[/tex] = $33,000

A = P(1 + R/100)^t = [tex]11000(1+\frac{8}{100} )^{25}[/tex] = [tex]11000(1.08 )^{25}[/tex] = $75,333.23

Hence If $11,000 is invested, $33,000 is the value of the investment at the end of 25 years if the interest is 8% simple interest and $75,333.23 is the value of the investment at the end of 25 years if the interest is 8% compounded annually.

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Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: If $11,000 is invested in an account for 25 years. Find the value of the investment at the end of 25 years if the interest is:

(a) 8% simple interest

(b) 8% compounded annually

The time it takes between when the rock was dropped and when it landed is 1.33 seconds.

The time it takes the rock to land on the ground from where it is dropped can be determined by using the function given.

The height of the function when it hits the ground will be zero, so the function can be written as:

[tex]\mathbf{h(t) =36t^2 -64}[/tex]

[tex]\mathbf{0 =36t^2 -64}[/tex]

64 = 36t²

[tex]\mathbf{t^2 = \dfrac{64}{36}}[/tex]

t² =1.778

[tex]t = \sqrt{1.778}[/tex]

t = 1.333 seconds

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Answer:

- Please see the attached picture for full solution!:)

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The number of 150-pound gas cylinders are used each year  for the well is 22.

V = 500 gal/min x 1 year x 525600 min/year

V = 262,800,000 gallons =  994,806,216.835 liters

mass = density x volume

mass = 1.5 mg/L x 994,806,216.835 L

mass = 1,492,209,325 mg = 3289.75 lb

n = 3289.75 lb/150 lb

n = 21.9

n ≈ 22 gas cylinders

Thus, the number of 150-pound gas cylinders are used each year  for the well is 22.

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Answer:

[tex]x^2 + 10x + 25[/tex]

Step-by-step explanation:

Hello!

Formula: [tex](a +b)^2 = a^2 + 2ab + b^2[/tex]

Plug it into the formula and simplify.

The answer is the first option: [tex]x^2 + 10x + 25[/tex].

Answer:

x^2-10x+25

Step-by-step explanation:

This is the correct answer

Considering the hypothesis tested, the interpretation is that there is not enough evidence to conclude that the percentages are different at a significance level of 0.1.

We fail to reject the null hypothesis, hence the interpretation is that there is not enough evidence to conclude that the percentages are different at a significance level of 0.1.

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Answer:

Angle D & Angle E

Step-by-step explanation:

Angle C & Angle F are ALTERNATE EXTERIOR angles.

Angle B & Angle E are CONSECUTIVE angles.

Angle D & Angle G are CORRESPONDING angles.

Answer:

The equation is 5x - 9 = 2x + 23.

The answer is option A.

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

All sides and angles look equal and appears to be a regular hexagon

Hope this helped and have a good day

Answer:

Yes.

Step-by-step explanation:

Hello!

A regular polygon is a closed shape with sides of equal length, and angles of equal degree. A regular polygon also forms around a general center.

This seems to be a regular polygon as all side lengths and angles seem to be equivalent, and there is a center point to the .

This shape is a hexagon, so the measure of the angles are 120°.

The inverse function of the given function is [tex]\mathbf{= \dfrac{28+7x}{x-1}}[/tex]

A function g is the inverse of a function f, if and only if the values of y= f(x), x = g(y).

From the formula given:

[tex]\mathbf{y=f(x) = \dfrac{x+28}{x-7}}[/tex]

Let's substitute x with y;

[tex]\mathbf{y= \dfrac{x+28}{x-7}}[/tex]

[tex]\mathbf{x=\dfrac{y+28}{y-7}}[/tex]

Solve for y;

[tex]\mathbf{= \dfrac{28+7x}{x-1}}[/tex]

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The experiment is illustrated below.

A. The type of experimental design is a completely randomized design experiment where experimental units of 200 female subjects which are allocated randomly to say 4 treatment groups with each treatment group consist of 50 female patients.

Here the treatment used is low-intensity shock therapy which is also factor or explanatory variable. After administrating above treatment for a period of say 2-3 weeks, the response in pain reduction can be measured among all patients in 4 treatment groups by comparing their earlier pain level for reduction in pain.

If the study consist of 100 male and female patients, the experimental design can be changed into randomized block design by blocking subjects by gender.

The above design can be double blinded by not letting either the patients or lab technicians aware about which treatment groups, each of these subjects are experimented against to keep the data confidential.

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Answer: The largest he can possibly build is x = 14

Step-by-step explanation: