Find the 9th term of the geometric sequence 5, -25, 125, ...

Answer:

The area between the two functions is approximately 1.333 units.

Step-by-step explanation:

If I understand your question correctly, you're looking for the area surrounded by the the line y = 2x and the parabola y = x², (as shown in the attached image).

To do this, we just need to take the integral of y = x², and subtract that from the area under y = 2x, within that range.

First we need to find where they intersect:

2x = x²

2 = x

So they intersect at (2, 4) and (0, 0)

Now we simply need to take the integrals of each, subtracting the parabola from the line (as the parabola will have lower values in that range):

[tex]a = \int\limits^2_0 {2x} \, dx - \int\limits^2_0 {x^2} \, dx\\\\a = x^2\left \{ {{x=2} \atop {x=0}} \right - \frac{x^3}{3}\left \{ {{x=2} \atop {x=0}} \right\\\\a = (2^2 - 0^2) - (\frac{2^3}{3} - \frac{0^3}{3})\\\\a = 2^2 - \frac{2^3}{3}\\a = 4 - 8/3\\a \approx 1.333[/tex]

So the correct answer is C, the area between the two functions is 4/3 units.

The area between the two functions is approximately 1.333 units.

Area is defined as the region bounded by the sides on a plane. The areas of different shapes can be calculated by different formulas.

If I understand your question correctly, you're looking for the area surrounded by the line y = 2x and the parabola y = x², (as shown in the attached image).

To do this, we just need to take the integral of y = x², and subtract that from the area under y = 2x, within that range.

First we need to find where they intersect:

2x = x²

2 = x

So they intersect at (2, 4) and (0, 0)

Now we simply need to take the integrals of each, subtracting the parabola from the line (as the parabola will have lower values in that range):

[tex]a=\int\limits^2_0 {2x} \, dx -\int\limits^2_0 {x^2} \, dx[/tex]

[tex]a=(2^2-0^2)-(\dfrac{2^3}{3}-\dfrac{0^3}{3})[/tex]

[tex]a=4-\dfrac{8}{3}[/tex]

[tex]a=1.333[/tex]

Hence the area between the two functions is approximately 1.333 units.

To know more about area follow

https://brainly.com/question/25292087

Answer:

find 7% of (165+204+188)     that will be his commission.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

557÷7 = 38.99

total sales 557 ÷ 7 % commission

Answer: 2.117647

Step-by-step explanation:

Answer:

just ecause you have the name juan in ur name i will answer. 2 2/17.  ill even do 7 for ya. . . its 3

Step-by-step explanation:

Answer:11

Step-by-step explanation:

Answer:

11/ 4 + 7 = 11/11 = 1?

Step-by-step explanation:

8 x ¾ is the same as adding ¾ + ¾ + ¾ + ¾ + ¾

because, when you are adding 3/4

8 times, you are 3/4 plus itself,

eight times,

so you are doing 3/4*8

Answer:

uh we need to see the figure

Step-by-step explanation:

This is what they're talking about

Answer:

9(19)+13z=17

171+13z=17

13z=171-17

Z=154/13 is the answer

Step-by-step explanation:

Pls mark me in brain list

Answer:

z = -154/13

Step-by-step explanation:

1.) Add the numbers

9(2+17)+13=17

9(19) = 13z = 17

2.) Multiply the numbers

9 x 19 + 13z = 17

171 + 13z = 17

3.) Rearrange terms

171 + 13z = 17

13z + 171 = 17

4.) Subtract 171 from both sides of the equation

13z + 171 = 17

13z + 171 - 171 = 17 - 171

5.) Simplify

13z = -154

Solution

z = -154/13

Answer:

1) two spaces are being added per figure. 2)203

Step-by-step explanation:

Answer:

1. Two tiles add per figure, one on each side.

2. The hundredth figure would have 201, because if you want to find the answer to any figure you multiply by two and add one

Step-by-step explanation:

Answer:

Step-by-step explanation:

The distribution is skewed right because most data concentrated to the left (preschool age or younger) and have longer tail to the right.

Answer:

-3

Step-by-step explanation:

Parallel lines always share the same slope.

Hope it helps!

Answer: 0.3125% play among us

Step-by-step explanation:

If you take the number of people who play among us (10) and divide it by the number of people surveyed (32)

10/32

You will get 0.3125%

Answer:

31.5%

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

because it starts at 0 and continues forward

Answer:

17.5 meters

Step-by-step explanation:

To find how far she walks, multiply 2.5 by 7

2.5(7)

= 17.5

So, in 7 days, she walks 17.5 meters

Answer:

108.50 divided by 14= 7.75

Step-by-step explanation:

Answer:

Im to lazy to do it

Step-by-step explanation:

good luck

Answer:

One serving of oatmeal provides 4.6% of the daily recommended allowance of fat.

Step-by-step explanation:

3/65 ≅ 0.046 = 4.6%

One serving of oatmeal provides 4.6% of the daily recommended allowance of fat.

Answer:

Step-by-step explanation:

If angles X and Y are supplementary

X+Y=90

x=16+3y

16+3y+y=90

4y=90-16

4y=74

y=74/4=18.50

x=90-18.50=71.50

Answer:

The measures of the angles are x=139° and y=41°

Step-by-step explanation:

Supplementary Angles

Supplementary angles add up to 180°. If x and y are two supplementary angles, then:

x + y = 180        [1]

Since angle x is 16 degrees more than 3 times the size of angle y:

x = 3y + 16        [2]

Substituting [2] into [1]:

3y + 16 + y = 180

Simplifying:

4y = 180 - 16 = 164

Dividing by 4:

y = 164/4 = 41

Substituting in [2]:

x = 3*41 + 16 = 139

The measures of the angles are x=139° and y=41°

Answer:

380 degrees

Step-by-step explanation:

you can find one by adding or subtracting a multiple of 360 degrees

Answer:

The solution is (18,21)

Step-by-step explanation:

The picture shows the steps.

Hope this helps!!!

Answer:

No you do not

Step-by-step explanation:

If you divide 50 by 1 1/3 you 37.5 which you you have 30 glasses so you do not have enough

Answer: its the first one im sorry if im wrong

Step-by-step explanation:

Answer: The answer is 4 8/21

Step-by-step explanation:

Answer:

the concrete of the power plant supporting the turbine and generator

Step-by-step explanation:

Use the app called socratic. It helps so much and im sure it will help with these problems also.

Answer:

11/42        as a decimal it is 0.2619