Mathematics High School

## Answers

**Answer 1**

**Answer:**

[tex]L=\int\limits^b_a {\sqrt{1+\frac{x^2}{64}}} \, dx[/tex]

**Step-by-step explanation:**

Recall the formula for the arc length of a function given a closed interval [tex][a,b][/tex]: [tex]L=\int\limits^b_a {\sqrt{1+(\frac{dy}{dx})^2}} \, dx[/tex]

Given the function [tex]y=\frac{x^2}{16}[/tex], then [tex]\frac{dy}{dx}=\frac{x}{8}[/tex] by the product rule.

Thus, the set-up integral would be:

[tex]L=\int\limits^b_a {\sqrt{1+(\frac{x}{8})^2} } \, dx\\ \\L=\int\limits^b_a {\sqrt{1+\frac{x^2}{64}}} \, dx[/tex]

## Related Questions

In the figure point d is the circumvented of triangle abc

If ad=4x+3and dc=12x-1 what is the length of bd

A)5

B)10

### Answers

**Answer:**

I think the answer is b

does the following represent a function that can be represented using the equation =+? how would do you know

### Answers

**Answer: It's not a function because the line is curved, and it has an exponent in the equation which makes the line curved instead of straight which will make x repeat.**

Someone please help me answer Number 14, PLEASE!

### Answers

**Answer:**

b=240

**Step-by-step explanation:**

We need to find b. In order to this, we must isolate b.

[tex]-17+\frac{b}{8}=13[/tex]

Add 17 to both sides

[tex]\frac{b}{8}=30[/tex]

Multiply both sides by 8 to remove the fraction

[tex]b=240[/tex]

**Answer:**

b = 240

**Step-by-step Solution:**

-17 + b/8 = 13=> b/8 = 13 + 17=> b/8 = 30=> 8 x b/8 = 30 x 8=> b = 240

**Hence, the value of b is 240.**

HELP

Please please plz

### Answers

**Answer:**

3 = 10.50

7 = 24.5

10 = 35.00

**Step-by-step explanation:**

If this is wrong I am sorry.

Hope this helps

**Step-by-step explanation:**

This is it. Proportion

if 3 pounds of blue berries cost 10.50

1 pound of blue berries cost 10.50÷3=3.50

Therefore 7 pounds of blue berries cost

3.50 ×7= 24.50

2. Let a be the number of pounds of blue berries you can buy with 35.00

1 = 3.50

a = 35.00

a=35.00÷3.50

a= 10

Therefore, 35.00 is equal to 10 pounds of blue berries.

use the leading coefficient and the degree of the polynomial function to determine the end behavior of the graph. f(x) = 3x^2 - 3x^5 - 14x - 2x^3 - 5

leading coefficient:

degree:

end behavior left or right side:

### Answers

**Answer:**

end behavior on left: function goes to + infinity

end behavior on the right: function goes to - infinity

**Step-by-step explanation:**

You look at the highest powered x term.

You look at the highest powered x-term which is - 3x^5. The polynomial will begin and end the same way a -x^5 curve begins and ends.

end behavior on the left side (as x approaches negative infinity), y values approach positive infinity. You can substitute negative values of x (-1, -5, -10, -100 . . .) in - 3x^5 and you will get increasing positive values for y as you use x values that approach negative infinity).

end behavior on the right side (as x approaches positive infinity), y values approach negative infinity. Substitute positive values for x (1, 10, 100, 1,000 . . .) in - 3x^5 and you will get decreasing negative values for y.

can some one give me the answer i will give you 100 points

### Answers

**Answer:**

For every cup of flour, you will need 3 cups of water.

**Step-by-step explanation:**

Flow the line with your finger to every location where the line hits the point perfectly, and then measure the distance between the y-axis and x-axis and the point where the line meets the point.

**Answer:**

3;1

**Step-by-step explanation:**

The unit rate for this situation is the ratio of water to cups.

the slope of the line is a positive three, and since there are three cups of water for every cup of flour, the ratio or unit rate would be 3;1, 3 to 1

subtract 5 from 1 third of 23. please help me solve this

### Answers

5-(1/3 *23) so its 2.6666666667

HELP!!!!!!!

What is the length of in the figure below?

Select one:

20.8 units

8 units

12 units

14.4 units

### Answers

**Answer:**

Third option

**Step-by-step explanation:**

Given the following question:

Side c = 24 units

Angle B = 30 degrees

Angle C = 60 degrees

30 + 60 = 90

90 + 90 = 180

(all angles add up to 180 degrees)

Angle A = 90 degrees

Apply the law of sines:

[tex]a=c\times sin(a)[/tex]

[tex]a=24\times sin(60)=20.7846097[/tex]

[tex]20.7846097[/tex]

[tex]8 > 5[/tex]

[tex]20.8[/tex]

Now we have all the angles and two of the sides:

A = 20.8

C = 24

[tex]b=c\times sin(b)[/tex]

[tex]b=24\times sin(30)=12[/tex]

B = 12 units

**Angle A - 90 degreesAngle B - 30 degreesAngle C - 60 degrees**

**Side AC - 12 unitsSide BC - 24 unitsSide BA - 20.8 units**

PLEASE HELP!!!

1. Which is a factor of x^2+5x-24

a. (x+4)

b. (x-4)

c. (x+3)

d. (x-3)

2. Which is a factor of x^2+2x-15

a. (x-3)

b. (x+3)

c. (x+15)

d. (x-5)

3. Which is a factor of n^2+3n-54

a. n+6

b. n^2+9

c. n-9

d. n+9

### Answers

**Answer:**

See attachment

**Step-by-step explanation:**

**Factor each expression, as shown in the attachment.**

1. Which is a factor of x^2+5x-24

a. (x+4)

b. (x-4)

c. (x+3)

**d. (x-3) **

2. Which is a factor of x^2+2x-15

**a. (x-3)**

b. (x+3)

c. (x+15)

d. (x-5)

3. Which is a factor of n^2+3n-54

a. n+6

b. n^2+9

c. n-9

**d. n+9**

Convert -264° to radian measure.

Round your answer to the nearest hundredth.

### Answers

Answer is in image

Hope this helps

Two angles are supplementary. One angle measures 2x, and the other angle measures 3x - 15. Which equation can you use to find the measure of each angle? 2 x - 3 x - 15 = 180° 2 x 3 x - 15 = 90° 2 x 3 x - 15 = 180° 2 x - 3 x - 15 = 90°.

### Answers

Statement:

Two angles are supplementary. One angle measures 2x, and the other angle measures 3x - 15.

To find out:

The equation to find the measure of each angle.

Solution:

Supplementary angles are angles which sum up to 180°.While, complementary angles are angles which sum up to 90°.Here, the sum of the two angles, i.e., 2x and 3x - 15, should be 180°.So, the equation will be: 2x + 3x - 15 = 180°.

Answer:

2x + 3x - 15 = 180°

Hope you could understand.

If you have any query, feel free to ask.

17% of what number is 3.4

### Answers

**Answer:**

20

**Step-by-step explanation:**

We already have our first value 3.4 and the second value 17. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

Step 1 ---> 3.4 = 17% × Y

Step 2 ---> 3.4 = 17/100 × Y

Multiplying both sides by 100 and dividing both sides of the equation by 17 we will arrive at:

Step 3 ---> Y = 3.4 × 100/17

Step 4 ---> Y = 3.4 × 100 ÷ 17

Step 5 ---> Y = 20

Finally, we have found the value of Y which is 20 and that is our answer.

***You can easily calculate 3.4 is 17 percent of what number by using any regular calculator, simply enter 3.4 × 100 ÷ 17 and you will get your answer which is 20***

What side lengths form a right triangle?

It says I need more than 1 answer

### Answers

Answer: A and C

Ecplanation: photo

Plz help quickly only I need the answer

### Answers

**Answer:**

the second one

**Step-by-step explanation:**

A motorist travels 160 km at 80 km/h and 160 km at 100 km/h. What is the average speed of the motorist for this trip?.

### Answers

**Analyze problem**

**since the distance is the same, we will not need to do any solving in that part**

**so, the average of 80 and 100 is**

**(80+100)/2**

**which is 90**

**so, 90 miles per hour**

Segment VY is a midsegment of trapezoid FEDC. Find x.

### Answers

**Answer:**

x = 12

**Step-by-step explanation:**

The midsegment VY is half the sum of the parallel bases , that is

VY = [tex]\frac{EF+CD}{2}[/tex] , then

3x + 18 = [tex]\frac{1}{2}[/tex] (x + 96) ← multiply both sides by 2 to clear the fraction

6x + 36 = x + 96 ( subtract x from both sides )

5x + 36 = 96 ( subtract 36 from both sides )

5x = 60 ( divide both sides by 5 )

x = 12

If a pentagon has a radius of 16 find the perimeter

### Answers

**Answer**:

94.05 units is the perimeter of this pentagon.

**Length of each side in pentagon: 2r × Sin(180/n)**

*where r is radius and n is number of sides*

**Using the formula: 2r × Sin(180/n)**

: 2*16 * sin(180/5)

: 18.8 units

**Perimeter **= 5(18.8) units........5 as we know pentagon has 5 sides

= 94.05 units

ok ezz points just get it right

Susan ate all 6 red skittles which is 25% of the bag.

How many skittles are in the entire bag

Oh and Best answer gets Brainliest

### Answers

**Answer:**

24 skittles

**Step-by-step explanation:**

6 is 1/4. 6x4=24

Answer:

If 6 skittles is 25% or 1/4 of the bag that means there were 24 skittles in the bag`.

Step-by-step explanation:

Have a great rest of your day

#TheWizzer

Calcula las dimensiones de un rectángulo que la base mide 6 centímetros más que su altura y tiene un área de 91 centímetros cuadrados.

### Answers

El rectángulo mide **13 cm de base y 7 cm de altura**.

Geometría

Para determinar las dimensiones de un rectángulo que la base mide 6 centímetros más que su altura y tiene un área de 91 centímetros cuadrados, se debe realizar el siguiente **cálculo**:

Base x altura = areaX x (X+6) = 917 x (7+6) = X7 x 13 = X91 = X

Por lo tanto, el rectángulo mide **13 cm de base y 7 cm de altura**.

Aprende más sobre **geometría** en https://brainly.com/question/4637858

Find the surface area.

### Answers

let's notice, this is a Cube, namely all equal sides, and mind you it has 6 sides, Check the picture below.

[tex]\stackrel{\textit{area of all 6 sides}}{6(9\cdot 9)\implies 486}[/tex]

What is 3^2+(8-2)•4-6/3

### Answers

**First, start by subtracting 8 from 2. Then, square the three. Your equation will then be 9+6 x 4- 6/3. Multiply the first 6 and the four, then divide the second six by 3. The new equation will be 9+24-2. Solve from there, and your answer should be 31. **

Jack started packing the box shown with 1-centimeter cubes.

Select all the true statements below.

A. Jack needs to add 2 more layers to fill the box.

B. Jack packed 16 cubes into the bottom of the box.

C. The box is 8 centimeters long.

D. The box is 3 centimeters high.

E. The volume of the box is 32 cubic centimeters.

F. The volume of the box is 16 centimeters.

### Answers

**Answer:**

a, b, f.

**Step-by-step explanation:**

**Answer:**

A,B,C,F

**Step-by-step explanation:**

Find the surface area

‼️ASAP!!! BRAINLIEST!!‼️

PLS HELP + EXPLAIN!!! Thx!

(NO LINKS PLEASE)

### Answers

It’s gonna be 10 on the other side because if you look at the one on the left it’s basically the same look so it means it’s gonna be 10 on the right

PLEASE HELP!! WILL GIVE BRAINLIEST!! my teacher was absent today so I have no idea how to do this.

Use the figure shown.

What is m

### Answers

**Answer:**

try 12

**Step-by-step explanation:**

I'm sorry if its wrong

NEED ANSWER FAST PLEASE

### Answers

**Answer:**

i think its A

**Step-by-step explanation:**

which explicit formula describes the sequence

use the picture for the full question

### Answers

**Answer:**

A. aₙ = (2/7)ⁿ⁻¹

**Step-by-step explanation:**

According to sequence we observe:

the first term is a₁ = 1the common ratio is r = 2/7

Equation of nth term of GP:

aₙ = a₁r°⁻¹

Substitute to get:

aₙ = 1*(2/7)ⁿ⁻¹ = (2/7)ⁿ⁻¹

**Correct choice is A**

First term=a=1Common ratio=4/49÷2/7=4/49×7/2=2/7

Now the explicit formula

ar^{n-1}1(2/7)^{n-1}(2/7)^{n-1}

Option A

screenshot below pls help 40 points

### Answers

**Answer:**

0< x < 2.5

**Step-by-step explanation:**

For this case we must find the interval for which the function is non-linear.

For this, we must define a linear function.

A linear function is a straight line that is generically:

y=mx+b

We observe that the function is non-linear from x = 0 to x = 2.5

Therefore, the interval for which the function is non-linear is given by:

[0,2.5]

New York City is approximately 4.68×10²square miles. Los Angeles is 503 square miles.How many times larger is Los Angeles in New York right answer in a scientific notation

### Answers

7.48×10⁻² the process is shown in the following picture

How can this model be used to determine 2.4−0.15 ? ( I'm doing k12 and I'm so lost rn)

### Answers

**Answer:**

2.25

**Step-by-step explanation:**

2.4-0.15=2.25 It should be right

Consider two unquie parallel lines what aspects of these two lines are the same ? What aspect of the two lines would have to be different explain your reasoning

### Answers

**Answer:**

The aspect of the lines that are the same is that they have the same slope while the aspect of the lines that are different is that they have different x and y-intercepts

Parallel lines are lines that do not meet in a xy-plane

If the parallel lines are vertical lines, they will both cut the x-axis at different points showing that they will have different x-intercept.

Similarly, if the parallel lines are horizontal lines, they will both cut the y-axis at different points showing that they will have different y-intercept.

Parallel lines are also known to have the same slope. This is the aspect that is common to both lines.

**Step-by-step explanation:**