Integration of (3X(X^2+3)^4) dx
[tex] [/tex]

Answer:

27.5 centimeters.

Step-by-step explanation:

We have been given an expression [tex]1.5t+20[/tex] that predicts the height in centimeters of a plant t days from today.

To find predicted height of the plant 5 days from today we will substitute t=5 in our given expression.

[tex]1.5\times 5+20[/tex]

[tex]7.5+20[/tex]  

[tex]27.5[/tex]  

Therefore, the predicted height of the plant 5 days from today will be 27.5 centimeters.

To find the predicted height of the plant 5 days from today, substitute 5 for t in the expression 1.5t + 20. Calculating this gives a result of 27.5, so the plant is predicted to be 27.5 centimeters tall after 5 days.

This question involves substitution into a mathematical expression. The expression given in the problem is 1.5t + 20, which predicts the height of a plant t days from now. Here, t represents time in days, and the number you plug in for t is the number of days from today.

To find the height of the plant 5 days from today, you substitute 5 for t in the expression. So the calculation becomes:

1.5 * 5 + 20 = 27.5

Therefore, 5 days from today, the plant is predicted to be 27.5 centimeters tall.

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[tex]\underline{+\left\{\begin{array}{ccc}x-3y=3\\-x+2y=-3\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad-y=0\to\boxed{y=0}\\\\\text{Put the value of y to the first equation}:\\\\x-3(0)=3\to\boxed{x=3}\\\\Answer:\ \boxed{x=3\ and\ y=0\to(3,\ 0)}[/tex]

Answer:

arithmetic

Step-by-step explanation:

It is  arithmetic because the terms go up by 15 . That is the common difference is 15.

Answer:

it is an arithmetic sequence

Step-by-step explanation:

general formula of arithmetic progression is

an=a1+(n-1)d

we are given

a1=1

a2=16

we can find d

d=a2-a1=16-1=15

d=a3-a2=31-16=15

d=a4-a3=46-31=15

as we can see that there is a common difference d =15 between successive terms  of the this sequence

hence it is a arithmetic sequence

The standard form of quadratic equation for given points is x² - 3 x + 2 =0.

The standard form of quadratic equation is given by ax² + bx + c = 0.

where a , b , c are the constant .

Given,

The value of a, b, c as 1 , -3, 2 respectively.

Putting the value a, b, c in the standard form

we get  x² - 3 x + 2 =0.

So, The standard form of quadratic equation for given points is x² - 3 x + 2 =0.

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Answer: 29

Step-by-step explanation:

forst you have to round the decimals. 7.91 to 8 and 21.9 to 21. then you add

8+21=29

PLZ MARK AS BRAINIEST I REALLY NEED IT

Answer:

a. The pattern is that they are getting multiplied by 2 each time.

b. The pattern is they all add to 999.

c. Yes, it is justified because it still equal 999.

The answer is 67 for apex!

Answer:

The measure of ∠ABC is 67°.

Step-by-step explanation:

Consider the provided figure:

Tangent chord angle = [tex]\frac{1}{2}[/tex] intercepted arc

Now consider the provided figure;

Substitute the value of intercepted arc = 134° in the above formula.

Tangent chord angle = [tex]\frac{1}{2}\times134[/tex]

Tangent chord angle = [tex]67[/tex]

Hence, the measure of ∠ABC is 67°.

Answer:

7= 137

6= 43

8=43

Step-by-step explanation:

well 7 would be the same angle as 137

and 6 and 8 are the same angle

so u already know that

7= 137

now to find 6 0r 8 u just need to subtract 137 from 180 to get

6= 43

8= 43

Answer:

see explanation

Step-by-step explanation:

∠7 = 137° ( vertically opposite angle )

∠8 = 180° - ∠7 = 180° - 137° = 43° ( straight angle )

∠6 = ∠8 = 43° ( vertically opposite angles )

Answer:

3

Step-by-step explanation:

x÷4 is the expression

Evaluate when x=12

12÷4

12/4

3

He subtracted instead of dividing.

12-4 = 8          12/4 =3

Answer: w = 9 cm,   L = 23 cm

Step-by-step explanation:

P (Perimeter)  = 2L(length) + 2w(width)

A (Area) = L (length) x w (width)

Use the formulas above to create a system of equations, then solve using the substitution method.

P = 2L + 2w

64 = 2L + 2w

32 = L + w

32 - w = L    ←←←   use this to substitute for L in the Area equation

                              A = L · w

                          207 = (32 - w)w

                          207 = 32w - w²

      w² - 32w + 207 = 0

         (w - 23)(w - 9) = 0

     w - 23 = 0            w - 9 = 0

           w₁ = 23                w₂ = 9

Now, solve for L:

      L₁ = 32 - w₁                      L₂ = 32 - w₂

         = 32 - 23                           = 32 - 9

          = 9                                    = 23

We have 2 sets of solutions (w₁ , L₁) and (w₂ , L₂)

                                              (23, 9)  and  (9, 23)

Notice that they are the same values but in reverse order.  These are the dimensions of the rectangle.  We generally consider width (w) to have the smaller value. So, w = 9 and L = 23

Answer:

80 miles per gallon

hope it helps

Step-by-step explanation:

to find the miles per gallon you would have to divide the miles driven (16,282) by gallons used (203) to find how many miles per gallon wasted

16,282 ÷ 203 = 80.2

80.2 rounded to the nearest 10 = 80 miles per gallon

Answer:

They spent 7 1/4 hours on homework

Step-by-step explanation:

you can take out 2/4 from 3/4 and make it into 1/2 and 1/2 + 1/2 = 1

1 + 6 = 7

the only fraction left is 1/4 so,

Jonah and Jan spent a total of 7 1/4 hours on homework.

or

you can make 1/2 into 2/4 and add 3/4 and 2/4 together which gives you the same answer:

7 1/4 hours on homework

make brainliest pls

Final answer:

Jonah and Jan spent a total of 16 1/4 hours on homework.

Explanation:

To find the total number of hours Jonah and Jan spent on homework, we need to first calculate Jan's homework hours. Jan spent 3/4 as many hours on homework as Jonah, which means Jan spent (3/4) x (6 1/2) = 3/2 x 13/2 = 39/4 = 9 3/4 hours on homework.

To find the total hours they both spent on homework, we add Jonah's and Jan's hours together: 6 1/2 + 9 3/4 = 13/2 + 39/4 = (26 + 39)/4 = 65/4 = 16 1/4 hours.

Therefore, Jonah and Jan spent a total of 16 1/4 hours on homework.

Hi There!

Step-by-step explanation:

Standard Deviation - tells you the avearage of how far apart each number in the set values is away from the mean.

Shop 1:

Mean = 46

Standard Deviation = 3

Shop 2:

Mean = 45

Standard Deviation = 19

I would choose shop 1 because even though it has a 1 more minutre of the mean it has a less of a standard deviation. That means that Shop 2 has a set of values that are far apart than shop 1.

Answer:

Shop 1

Hope This Helps :)

Answer:9.5*3+6*2

Step-by-step explanation:

You multiply each price by the number that they want to buy

Answer:

m = -9

Step-by-step explanation:

-4(m+3)=24

You must distribute first.

-4m - 12 = 24

       +12    +12

-4m =  36

---    =   ---

-4         -4

m = -9

Answer:

As per the statement:

The internal dimension of a cylindrical container has a base area of 20 cm2 and a height of 10 cm.

Volume(V) of a cylinder is given by:

[tex]V =A \cdot h[/tex]

where

A is the area of the base cylinder and

h is the height of the cylinder

Substitute the value A = 20 cm square and h = 10 cm we have;

[tex]V=20 \cdot 10[/tex]

Simplify:

V = 200 cubic cm

Therefore, the internal volume of the container is 200 cubic cm

Answer:

200 cm³

Step-by-step explanation:

In question we have given the area and height of the internal dimension of a cylindrical container.We have to find volume of the container.

From question statement ,we observe that

Area=20 cm² and   Height=10 cm

The  formula to find volume is :

Volume= Area×Height

putting the values of area and height in above formula,we get

Volume= 20 cm²×10 cm

Volume= 200 cm³

Hence, The internal volume of the container is 200 cm³.

Answer: 4109 feet.

Step-by-step explanation:

You must subtract the height of Mt. Mickey from Mt. Minnie.

18940 - 14831 = 4109

Answer:

4109 is the difference in height.

Step-by-step explanation:

Answer: d. $7,463.77

Step-by-step explanation:

The formula to calculate the simple interest is given by :-

[tex]I=Prt[/tex], where P is the principal amount , r is the rate of interest ( in decimal) and t is time ( in years).                                                (1)

Given : Nate has an account that pays 2.76% simple interest per year and wants to accumulate $3,090 in interest from it over the next 15 years.

i.e. I= $3,090  ;  r= 2.76% =0.0276   and t= 15 years

Then, from (1), we have

[tex]3090=P\times0.0276\times15\\\\\Rightarrow\ P=\dfrac{3090}{0.0276\times15}=7463.76811594\approx7463.77[/tex]

Hence, the amount of money Nate should invest in this account to meet this goal = $7,463.77

Answer.... 32

when a number doubles, it is simply a higher power of 2  

so there are 3 butterflies in the beginning, which can also be written as 3 * (2^0) where the 0 is the initial power, since anything to the 0 power is 1 (except for 0)  

so the expression would be 3 * (2^n)  

after 4 minutes, it would be 3 * (2^4) or 3 * 16 or 48  

to find out how many are remaining, we know that she captured 7 of them, so it would be 3 * (2^4) - 7  

for question 2, Jeff texts 4 classmates, and then they each text 4 classmates, so that would be 4^2 or 16, but since 2 people do it, it would be

32

i saw this on yahoo hope it helps

The number of butterflies after 4 minutes is represented by the expression 3 * 2^4. The number of butterflies remaining after Ellen captures 7 can be expressed as 3 * 2^4 – 7.

Part A. We start with 3 butterflies and the number doubles every minute for 4 minutes. Therefore, the number of butterflies after 4 minutes is represented by the expression 3 * 2^4. In this expression, 2 is the base that is raised to the power of 4, representing the four times the initial number of butterflies doubles.

Part B. Ellen was able to capture 7 of the butterflies after 4 minutes. To find out the number of butterflies remaining, we subtract the number of butterflies captured by Ellen from the total number of butterflies after 4 minutes. This can be expressed as 3 * 2^4 - 7. Simplifying this expression will give us the number of butterflies remaining after Ellen's capture.

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Answer:

2.4x +2.2

Step-by-step explanation:

5.4x−1.1−3(x−1.1)

The first step is to distribute the -3

5.4x−1.1−3(x) -3(−1.1)

5.4x -1.1 -3x +3.3

Now we need to combine like terms

5.4x-3x -1.1+3.3

2.4x +2.2

Answer:

2.4x + 2.2

Step-by-step explanation:

1. Distribute -3 through the parenthesis

2. Combined the like terms

ΔABC and ΔDBE are similar. Therefore the side are in proportion:

[tex]\dfrac{DE}{DB}=\dfrac{AC}{AB}[/tex]

DE = 3x - 5

DB = a

AC = 20

AB = a + a = 2a

Substitute:

[tex]\dfrac{3x-5}{a}=\dfrac{20}{2a}[/tex]      cross multiply

[tex]2a(3x-5)=20a[/tex]          divide both sides by 2a ≠ 0

[tex]3x-5=10[/tex]           add 5 to both sides

[tex]3x=25[/tex]        divide both sides by 3

[tex]x=\dfrac{25}{3}[/tex]

[tex]\boxed{x=8.\overline{3}}[/tex]

Answer: choice B) 2,000 people

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

Let x be the number of people surveyed. This is simply a placeholder for the number.

16% of x is going to be equal to 320, so we know that 0.16*x = 320. Recall that 16% converts to the decimal form 0.16 after moving the decimal point two spots to the left.

Divide both sides by 0.16 to isolate x fully

0.16*x = 320

0.16*x/0.16 = 320/0.16

x = 2000

Therefore, 2000 people were surveyed

Answer:

2000 people were surveyed

Step-by-step explanation:

This means that 16 percent of the people surveyed = 320 people surveyed. We need to find the total amount of people, right?

Percentages are always out of 100. And let's say that x is the total amount of people surveyed.

16/100 = 320/x. This is the equation we need to solve.

To solve this, we need to find the denominator of 320/x.

The simplest way to do this is to realize that you can multiply 20 by 16 to get to 320.

Since you multiplied 16 by 20, you also need to multiply 16/100's denominator by 20. 100 times 20 equals 2000.

This means that the answer is 2000 people. There were 2000 people surveyed

Answer:

32.5%

Step-by-step explanation:

The percentage decrease of available credit in Dylan's account is 30%. This was found by subtracting the new available credit from the original, dividing the difference by the original available credit, and multiplying by 100.

To calculate the percentage decrease of the available credit in Dylan's account, we need to first determine the amount of credit that has been used. The original available credit was $650.00, and it has decreased to $455.00 after some purchases. The difference between the two amounts is $650.00 - $455.00 = $195.00. This value represents the decrease in available credit.

Next, we calculate the percentage decrease by dividing the decrease by the original amount and multiplying by 100. So, the percentage decrease = ($195.00 / $650.00) × 100 = 30%.

Answer:

x = number of text messages sent

0.2x+40=50

0.2x = 10

5(0.2x) = 5(10)

x = 50

Therefore, 50 text messages would have to be sent or received in order for the plans to cost the same each month.

Step-by-step explanation:

Answer:

The graph of our given function will be continuous.

Step-by-step explanation:

Please find the attached graph of our given function.

Let h represent the height in inches and j represent the amount of juice in ounces.

We have been given that the height of the juice in a 20-oz bottle depends on the amount of juice. This means that j in independent variable and h is dependent variable.

The function [tex]h=6-0.3j[/tex] represents the height of juice after drinking j ounces of juice.

As we drink the juice, the height of the juice in bottle will change continuously. The graph of our given function will be continuous as we can drink fractions of an ounce juice.

Since the equation of  line in slope-intercept form is [tex]y=mx+b[/tex], where,

m = Slope of line,

b= y-intercept or initial value.

Upon comparing our given function with slope-intercept form of equation we can see that slope of our given function is -0.3 and y-intercept is 6. Negative slope indicates that height of juice in bottle is decreasing after drinking  j ounces of juice.

In order to graph our line we need to find x-intercept, which will be at height equals 0 inches.

Upon substituting h = 0 in our given function we will get,

[tex]0=6-0.3j[/tex]

[tex]0+0.3j=6-0.3j+0.3j[/tex]

[tex]0.3j=6[/tex]

[tex]\frac{0.3j}{0.3}=\frac{6}{0.3}[/tex]

[tex]j=20[/tex]

So let us draw a line from points (0,8) to (20,0).

Therefore, the line connecting to these points will be the line representing our given function.

The graph of the given function is a line with a slope of -0.3 and a y-intercept of 6, passing through the points (0, 6) and (20, 0), indicating a continuous decrease in juice height as consumption increases.

We have a function h(j) that represents the height of juice in a 20-oz bottle based on the amount of juice consumed j. The function is given by:

h(j) = -0.3j + 6

Here, j is the independent variable (amount of juice) and h is the dependent variable (height of juice). To analyze the continuity of the graph, we compare the function to the slope-intercept form of the equation y = mx + b, where m is the slope and b is the y-intercept.

Comparing the function to the slope-intercept form:

y = -0.3x + 6

We find that the slope m is -0.3, and the y-intercept b is 6. The negative slope indicates a decrease in juice height as more juice is consumed.

To graph the function, we find the x-intercept by setting h (height) to 0:

0 = -0.3j + 6

Solving for j:

0.3j = 6

j = 20

So, the x-intercept is at j = 20, meaning that when 20 ounces of juice are consumed, the height of juice becomes 0.

Now, we can plot the points (0, 6) and (20, 0) on the graph and draw a line through these points. The line represents the function h(j) = -0.3j + 6. The negative slope indicates a continuous decrease in the height of juice as more ounces are consumed.

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Answer: 98

450-215-137=98

Step-by-step explanation:

X is equal to 15 and y is equal to 17

So the answer to this is A .x=15, y=17

Final answer:

To find the size of a cube that David can cover with 169 quarts of paint, set up a proportion and solve for the edge length, David can cover a cube with an edge length of approximately 5.31 feet using 169 quarts of paint.

Explanation:

To find the size of a cube that David can cover with 169 quarts of paint, we need to use the direct proportion between the amount of paint and the surface area of the cube. Let x be the edge length of the cube. The surface area of a cube is given by[tex]6x^2[/tex]can set up the proportion:

[tex]16 quarts / 2 feet^2 = 169 quarts / (6x^2)[/tex]

Cross-multiplying and then solving for x, we get:

[tex]x^2 = (2^2 * 169) / 16[/tex]

[tex]x^2 = 28.1875[/tex]

x = sqrt(28.1875)

x ≈ 5.31 feet

Therefore, David can cover a cube with an edge length of approximately 5.31 feet using 169 quarts of paint.