Use an associative property to write an equivalent expression

After evaluating the integral is \(69x^{6}/2 + 23x^{3} +C\).

Given:

(3x3+1)69x2 dx

= 69\(x^{2}\)*3\(x^{3}\) + \(69x^{2}\)

= 207\(x^{5}\) + \(69x^{2}\)

apply integration

= ∫ 207\(x^{5}\) + \(69x^{2}\)

= 207∫\(x^{5}\) + 69∫\(x^{2}\)

= 207*\(x^{6} /6\) + 69*\(x^{3} /3\)

= 69\(x^{6} /2\) + \(23x^{3}\) + C

Therefore After evaluating the integral is \(69x^{6}/2 + 23x^{3} +C\).

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Answer:

B) \(\$8395.80\)

Step-by-step explanation:

\(A=P(1+rt)\\A=7996(1+0.06\cdot\frac{10}{12})\\A=7996(1+0.05)\\A=7996(1.05)\\A=\$8395.80\)

This is all assuming that r=6% is an annual rate, making t=10/12 years

A plot that will present the information that will highlight how many trees are in a range of heights, such as 60–64, 65–69, etc. : histogram

In this question, we have been given the tree heights recorded on a school campus.

A science teacher wants to choose a data display that will highlight how many trees are in a range of heights, such as 60–64, 65–69, etc.

We need to find a correct plot that will present the information in this way.

We know that in bar charts, each bar represents one value(category). And  in a histogram, each bar will represent a continuous data

Therefore, a plot that will present the information that will highlight how many trees are in a range of heights, such as 60–64, 65–69, etc. : histogram

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Answer:

Step-by-step explanation:

A plot that will display information highlighting the number of trees in a range of heights, such as 60-64, 65-69, and so on: histogram

We were provided the tree heights reported on a school grounds in this question. A science instructor needs to select a data presentation that will show how many trees are in a given height range, such as 60-64, 65-69, and so on. We must find a suitable plot to portray the data in this manner. We know that each bar on a bar chart represents one value (category). And each bar in a histogram represents continuous data.

Answer:

Standard Form; x^2 - 11x + 24 = 0

Step-by-step explanation:

Simplify rewrite such that the quadratic equation has 0 isolated on the right or left side, most commonly right side;

x^2 - 11x + 19 = - 5 ⇒ Add 5 on either side of equation,

Standard Form; x^2 - 11x + 24 = 0

Answer:

we know

Step-by-step explanation:

Answer:

7 x 4 = 28

28 x 1/2(dividing by 2) = 14, 14 x 2(two triangles) = 28

4 x 5 = 20(area of square in the middle)

5 x 8 = 40(area of square on one side), 40 x 2 = 80(area of squares on both sides)

Now lets add the given areas:

28 + 20 + 80 = 128 square is your answer.

Answer:

4. A

5.C

6.B

7.d

8.d

9.d

10.c

11.A

12.b

13.F

14.g

15.g

16.g

17.A

Step-by-step explanation:

sana po makatulong pa brainlist nadin po :)

Answer:

3.5kg

Step-by-step explanation:

Let original weight  of grapes in box be X and weight of grapes in basket be Y.

From the first sentence
X = 2Y  (weight in box = 2 times weight in basket)   --- (1)

If you add 2kg of grapes to basket, the weight of grapes in basket = Y + 2

From the second statement

Y + 2 = X + 0.5

Subtracting Y from the LHS gives 2 = X - Y + 0.5

Subtracting 0.5 from both sides gives 2-0.5 = X - Y or X - Y = 1.5  --- (2)

Substituting for X from the first equation in (2) we get
2Y - Y = 1.5 or Y = 1.5kg

But this is the original weight of the grapes in the basket. Since we have added 2 kg of grapes to the original weight, we get the weight of grapes in basket now as 1.5 + 2.0 = 3.5kg

\(\\ \rm\Rrightarrow (2x^2)^3.2yx^0=8x^6.2y=16x^6y\)

\(\\ \rm\Rrightarrow (2x^4y^3)^3.2x^4y^4=8x^{12}y^6.2x^4y^4=16x^{16}y^{10}\)

\(\\ \rm\Rrightarrow (m^3n^0(2m^3n^2)^4)^2=(m^316m^{12}n^8)^2=(16m^{15}n^8)^2=256m^{30}n^{16}\)

\(\\ \rm\Rrightarrow (2xy^3)^2.2x^2y^0=4x^2y^6.2x^2=8x^4y^6\)

Answer:

4 servings.

Step-by-step explanation:

1/4 ÷ 1/16 = 4

Answer: m = 1/2

Step-by-step explanation:

Use the slope formula to find the slope m

The limit of (2x-1)(3-x)/(x-1)(x+3) as x approaches infinity is 0.

To find the limit of the function (2x-1)(3-x)/(x-1)(x+3) as x approaches infinity, we will divide both the numerator and denominator through the highest power of x. In this case, the highest power of x is x², so we can divide both the numerator & the denominator through x²:

\([(2x-1)/(x^2)] * [(3-x)/((x-1)/(x^2)(x+3))]\)

Now, as x approaches infinity, every of the fractions within the expression procedures zero except for (2x-1)/(x²). This fraction techniques 0 as x procedures infinity because the denominator grows quicker than the numerator. therefore, the limit of the expression as x strategies infinity is:

0 * 0 = 0

Consequently, When x gets closer to infinity, the limit of (2x-1)(3-x)/(x-1)(x+3) is 0.

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Answer:

Sin k jajs

Step-by-step explanation:

Step-by-step explanation:

\( \frac{5}{8} \times \frac{3}{2} \div \frac{15}{16} \\ \frac{15}{16} \times \frac{16}{15} \\ = 1\)

Answer:

1

Step-by-step explanation:

5/8 x 1 1/2 / 15/16 = 1                        (5/8 / 15/16 = 2/3,   2/3 x 1 1/2 =1 )

Answer:

Step-by-step explanation:

The possible pairs d and r​ if d and r are positive integers is (2, 4)

From the question, we have the following parameters that can be used in our computation:

Dean = d

Rad = r

Altogether, we have

Both = 6

This means thst

d + r = 6

d and r are positive integers

This means that

d, r > 0

Set d = 2

So, we have

2 + r = 6

Evaluate

r = 4

This means that the possible pairs d and r​ is (2, 4)

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Answer:

4. SR= 17 (opposite angle of parallogram are equal)

Answer:

C= 25$ + 50$ * h

8 hours 425$

10 hours 525$

Step-by-step explanation:

Answer:

y = 20x + 15

The total cost for 8 hours of work will be $175

Step-by-step explanation:

To find the total cost for 8 hours of work, substitute the x in the equation with 8, and solve. 20 times 8 is 160. 160 + 15 is 175.

Answer:

P(yellow')

Step-by-step explanation:

It represents the probability that it will not land on yellow (negative probability)

Answer:

Step-by-step explanation:

At the point they meet, they both travel same distance.

Make the equations same and solve for x:

They will meet after 2 hours.

The distance traveled at the time is:

Correct choice is B

Answer:

Option B

Step-by-step explanation:

We first set the two equations equal to each other.

y = 60x + 10

y = 65x

Equal Values Method:

y = y, so:

60x + 10 = 65x

Solve:

We can input 2 into either of the original equations

The correct option is \(\boxed{\text{B}}\)

-Chetan K

Answer:

Hello!

After reading your question I have calculated the correct answer to be:

47.22

Step-by-step explanation:

The way I solved this equation was I first split the equation into two parts.

I took the two whole numbers, being "34" and "12", and made their own equation:

"34+12=?"

And then I took the two partial numbers "0.98" and "0.24" and made their own equation:

"0.98+0.24=?"

I then solved both equations:

"34+12= 46"

"0.98+0.24= 1.22"

And added those two solutions together to come up with the final solution:

"46+1.22= 47.22"

Hope this helped!

Answer:

47.22 is the answer

Step-by-step explanation:

hope it helps you

Answer:

x=12,  SV=30

Step-by-step explanation:

Since <S is congruent to <T, you know that line TV is equal to line SV

2x+6=3x-6

subtract 2x on both sides

6=x-6

add 6 to both sides

12=x

x=12

To find SV you need to plug in x

2(12)+6

24+6

30

Answer:

r = 4

Step-by-step explanation:

50.24 = (3.14)r^2

r^2 = 50.24 ÷ 3.14

r = √16

r = 4

Answer:

d/dx f(x)f(x) = d/dx f(x) + d/dx f(x)

Step-by-step explanation:

An example of the product rule is the following:

d/dx u*v = du/dx u + dv/dx v

Another way of interpreting this is that the product rule states that the derivative of a product is the derivative of the sum of the products with respect to their terms.

Answer:

nswer:

= 6 dollars per book

Showing Work

This is a fraction equal to

18 dollars ÷ 3 books

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 3

18 dollars ÷ 3

3 books ÷ 3

=

6 dollars

1 book

=

6 dollars

book

= 6 dollars per book Step-by-step explanation:

Answer:

z = 4

Step-by-step explanation:

First multiply both sides by the denominator, -4, to get rid of it. Now you have 8z + 4 = 36.

Next subtract the 4 on both sides to get 8z = 32.

Lastly divide 8 on both sides to get z = 4.

Hope this helped :)

Answer:

39=6t+3f+e

39=19f+1

5 touchdowns, 3 extra points, and 2 field goals.

Step-by-step explanation:

e=f+1

6t=15f

39= 6t   +3f   +e

       ^       ^      ^

39=(15f)+(3f)+(f+1)           |             e=f+1                     |                      6t=15f

39=19f+1                         |             e=2+1                    |                      6t=15(2)

38=19f                            |             e=3                        |                      6t=30

f=2                                  |                                            |                      t=5