Mathematics High School

## Answers

**Answer 1**

The computation of the **equation** shows that the extra **data** that will be used to have the same amount will be 5 **gigabytes**.

How to compute equation?

Let the amount of extra **data** used be represented by x.

**Plan 1 =** 35 + (5 × x) = 35 + 5x

**Plan 2 =** 50 + (2 × x) = 50 + 2x

**35 + 5x = 50 + 2x**

Collect like terms

5x - 2x = 50 - 35

3x = 15

x = 15/3 = **5**

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## Related Questions

The question is in the attachment!!

### Answers

**Answer:**

[tex] \qquad\quad\hookrightarrow{\sf { 1000(e-1)}}[/tex]

Solution:

[tex] \begin{aligned}&\longrightarrow \int_{0} ^{1000} {e}^{ - |x| }dx = \sum_{k = 0}^{999} \int_{k}^{k + 1}e ^{x - |x| }dx \\ \\ &\longrightarrow\int_{0} ^{1000} {e}^{ - |x| }dx = \sum_{k = 0}^{999} \int_{k}^{k + 1}e^{x - k}dx \\\\&\longrightarrow\int_{0} ^{1000} {e}^{ - |x| }dx = \sum_{k = 0}^{999}e^{x - k \big |_{k}^ {k + 1}} \\ \\& \longrightarrow\int_{0} ^{1000} {e}^{ - |x| }dx = \sum_{k = 0}^ {999}(e - 1)\\\\&\longrightarrow\int_{0} ^{1000} {e}^{ - |x| }dx = 1000(e - 1)\end{aligned}[/tex]

round to the nearest hundredth

(please help picture inculded)

### Answers

**Answer:**

AB ≈ 6.53

**Step-by-step explanation:**

using the cosine ratio in the right triangle

cos40° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{5}{AB}[/tex] ( multiply both sides by AB )

AB × cos40° = 5 ( divide both sides by cos40° )

AB = [tex]\frac{5}{cos40}[/tex] ≈ 6.53 ( to the nearest hundredth )

What is the angle of rotation for point G mapped to point H?

90° clockwise

72° clockwise

72° counterclockwise

90° counterclockwise

### Answers

The **rotation **of point G to point H is an illustration of a circular movement

The **rotation **that **maps **point G to point H is 72 degrees clockwise

How to determine the rotation rule?

From the figure, we have the following parameters:

Number of sections (n) = 5

Angle at the center = 360

The **angle of rotation **is then calculated as:

Rotation = 360/5

Evaluate

Rotation = 72

Point H is to the left of point G.

This represents a **clockwise direction**

Hence, the **rotation **that **maps **point G to point H is 72 degrees clockwise

Read more about **rotation** at:

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**Answer:**

**72° clockwise**

**Step-by-step explanation:**

Raila has 7 different posters to be hung in her living room bedroom and kitchen.Asumming she has plans to place at least a poster in each of the 3 rooms how many choices does she have?

### Answers

**Answer:**

She has about 2 choices

**Step-by-step explanation:**

7 ÷ 3 ≈ 2.3

≈ 2

To build a snowman, Victor made three snowballs with diameters of

1

meter (m),

1

.

5

m,

and

2

m.

To the nearest cubic meter, what is the total volume of snow used in the snowman?

### Answers

Considering the **spherical **snowballs, the** total volume** of snow used in the snowman is of **126 m³**.

What is the volume of an sphere?

The volume of an sphere of **radius r **is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In this problem, there are three spheres, of radius **r = 1 m, r = 5 m and r = 2 m**, hence:

[tex]V_1 = \frac{4\pi}{3} = 4.19[/tex]

[tex]V_2 = \frac{4\pi \times 5^2}{3} = 104.72[/tex]

[tex]V_3 = \frac{4\pi \times 2^2}{3} = 16.76[/tex]

The **total **volume, in cubic meters, is of:

V = 4.19 + 104.72 + 16.76 = 125.67.

Rounding, the** total volume** of snow used in the snowman is of **126 m³**.

More can be learned about the **volume of an sphere **at https://brainly.com/question/25608353

solve systems by substitutions

y=x + 10

y= -6x-18

### Answers

x + 10 = - 6x - 18

7x = - 28

x = - 4

and y = - 4 + 10 = - 6

The radius of Circle A is 6 cm. The radius of Circle B is 2 cm greater than the radius of Circle A. The radius of Circle C is 3 cm greater than the radius of Circle B. The radius of Circle D is 2 cm less than the radius of Circle C. What is the area of each circle?

### Answers

**Answer:**

circle a: 3.14x36= 113.04

circle b: 3.14 x 64 = 200.96

circle c: 3.14 x 121= 379.94

circle d : 3.14 x 81 = 254.34

**Step-by-step explanation: circle a is 6cm, circle b is 8 cm, circle c is 11 cm and circle d is 9cm. **

**and (Area = π r²) example: circle a 6²=36 and π=3.14 so 3.14x36=113.04**

The amount of a radioactive substance remaining after t years is given by the function f(t) = m(0.5)", where m is the

initial mass and h is the half-life in years. Cobalt-60 has a half-life of about 5.3 years. Which equation gives the

mass of a 50 mg Cobalt-60 sample remaining after 10 years, and approximately how many milligrams remain?

### Answers

Using an **exponential **function, it is found that the **equation **is:

[tex]f(1.8868) = 60(0.5)^{1.8868}[/tex]

Which means that approximately **16.22** mg remain.

What is an exponential function?

A **decaying **exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

**A(0) **is the initial value.**r **is the decay rate, as a decimal.

In this problem, the **equation **is:

[tex]f(h) = m(0.5)^h[/tex]

We work with a 50 mg Cobalt-60 sample, hence **m = 60**, and considering a half-life of 5.3 years, in 10 years we have **h = 10/5.3 = 1.8868**. Hence the **equation **is:

[tex]f(1.8868) = 60(0.5)^{1.8868} = 16.22[/tex]

Approximately **16.22** mg remain.

More can be learned about **exponential **functions at https://brainly.com/question/25537936

What is the volume of this right prism? 1200 in³ 1800 in³ 2040 in³ 3600 in³ Right triangular prism. The height of the prism is labeled as 15 in. The base of the prism is a triangle with the base labeled as 30 in., the height labeled as 8 in., and the other 2 sides of the triangle labeled as 17 in.

Please help asap!!!

### Answers

**Volume** of right **prism** is 1800 in³, So **option 'B'** is the correct answer to the following question.

**Volume** of right **prism**

What information do we have?

**Height** of the prism is labeled = 15 in.

Base of the **prism** is a triangle with the base = 30 in

Height labeled = 8 in

Volume of right **prism** = Area of base triangle × Height

Volume of right prism = (1/2)(b)(h) × Height

Volume of right **prism** = (1/2)(30)(8) × 15

**Volume** of right prism = (30)(4) × 15

Volume of right **prism** = 120 × 15

**Volume** of right prism = 1800 in³

Find more information about '**Prism**'.

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**Answer:**

The answer is B. 1800 [tex]in^{3}[/tex]

**Step-by-step explanation:**

I took the test

Which statement about the asymptotes is true with respect to the graph of this function f(x)= 3x^2-3/x^2-4

### Answers

**Answer:**

D. The graph has two vertical asymptotes and one horizontal asymptote.

**Step-by-step explanation:**

LAY

STOP

Solve using the Zero Product Property.

15. The height of a football after it has been kicked from the top of a hill can be modeled

by the equation h= 2(-2-4t) (2t - 5), where h is the height of the football in feet

and tiltihe time in seconds. How long is the football in the air?

A

A. t=2.5 seconds

B.

B. t=-0.5 seconds

с

C. t=1.5 seconds

### Answers

**Answer:**

A

**Step-by-step explanation:**

how long is the ball in the air ?

that is the same as asking : after how many seconds will the ball hit the ground (= reach the height of 0) ?

so, that means we need to find the zero solution of h(t).

at what t is h(t) = 0 ?

when at least one of the factors is 0 :

2(-2 - 4t)(2t - 5)

we have 3 factors

2 : can never be 0.

(-2 -4t) : can only be 0 for negative t, which does not make sense in our scenario (we cannot go back in time, only forward).

(2t - 5) : is 0 when 2t = 5 or t = 2.5

so, A is the right answer.

FYI : the starting height (on the hill) is given by t = 0 :

2(-2 - 0)(0 - 5) = 2×-2×-5 = 20 ft

PLEASE READ THE PICTURE

Let g be a reflection in the x-axis, followed by a translation 4 units down of f(x). Write a rule for g described by the transformations of the graph of f. Please show work and I will mark Brainliest!

### Answers

f(x)

-5¾-3-4 that correct

Write the equation for circle below

### Answers

**Answer:**

**Step-by-step explanation:**

Recommendations

Skill plans

A Math

FL Standards

Seventh grade > * Y.4 Area and perimeter: word problems JER

You have prizes ton

A train ticket is 6 centimeters tall and 15 centimeters long. What is its perimeter?

centimeters

Submit

78°F

Partly sunny

DL DC

99

o

1

>>

### Answers

**Answer:**

42cm

**Step-by-step explanation:**

It's a rectangle so sides are 6, 6, 15, 15. Σs = 42.

please show your work and no links

and please do the one that are blank

### Answers

**Answer:**

its blury

**Step-by-step explanation:**

A circle is to be drawn with radius 3.5 inches. the radius is measured as 3.6 instead, what error does this cause in the area of the circle?(leave your answer in terms of pi )

### Answers

**Answer:**

[tex]0.71\pi\: in^2[/tex]

**Step-by-step explanation:**

[tex]r_1= 3.5\: in[/tex]

[tex]r_2= 3.6\: in[/tex]

[tex]A_1=\pi r_1^2=\pi(3.5)^2= 12.25\pi \:in^2[/tex]

[tex]A_2=\pi r_2^2=\pi(3.6)^2= 12.96\pi \:in^2[/tex]

[tex]Difference\: in \:area =A_2-A_1=0.71\pi\:in^2[/tex]

[tex]\implies Error \:in\: the \:area \:of\: the \:circle = 0.71\pi\: in^2[/tex]

Jen bought a cinnamon bun for $3. 42 and a giant candy cane for $5. 76. She then used the rest of her money to buy a notebook. She spent a total of $12. 83. How much money did Jen spend on the notebook? (5 points)

$9. 41

$7. 07

$3. 65

$2. 34

### Answers

Answer:

She spent $3.65 on the notebook

Step-by-step explanation:

5.76 + 3.42 = $9.18

12.83 - 9.18 = $3.65

someone help me out please Extra points please!

### Answers

**Answer:**

4.2

**Step-by-step explanation:**

The square root of 18 is 4.24

So, on this number line, it should go about 1 cm away from 4 to indicate that it is not 4, but 4.2.

Put the dot where you think it would be appropriate to be labled as 4.2.

Also if you didnt know the x axis is the one on the bottom.

Write the word sentence as an equation.

5 is one-fourth of a number c. PLEASE HELP

### Answers

1/4c=5 I think that’s the answer if not sorry

a snowboard originally cost $230. the sport’s store is having a sale of 10% off of items less than $100 and 20% off of items above $100. the sales is 12%. what is the final price for the snowboard, including tax?

### Answers

well, the snoboard for $230 is clearly more than 100 bucks, so it's on sale with a 20% off, how much will that be?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 230}}{\left( \cfrac{20}{100} \right)230}\implies 46~\hfill \underset{sale~price}{\stackrel{230~~ - ~~46}{184}}[/tex]

now let's apply as 12% tax on that sale amount

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7\% of 184}}{\left( \cfrac{7}{100} \right)184}\implies 12.88~\hfill \underset{final~price}{\stackrel{184~~ + ~~12.88}{196.88}}[/tex]

Specific gravity will tell you a fraction of how much

object will be below the water while its floating. For

instance, ice has density of 0.92 g/ml so its specific gravity

0.92, what does 0.92 indicate?

### Answers

The value 0.92 indicates the **relative density** of the ice.

Data;

Density = 0.92g/mlSpecific gravity = 0.92

Specific Gravity

**Specific gravity** of a substance is defined as the relative density of substance. This can be further said to be the** ratio** between the density of a substance to the **density** of the reference substance.

mathematically;

[tex]relative density = \frac{density of substance}{density of reference}[/tex]

The value 0.92 indicates the **relative density** of the ice.

Learn more on **specific gravity** here;

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HELP - 100 POINTS AND BRAINLIEST

An equation is shown below:

5x + 3(x – 5) = 6x + 2x – 15

Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)

Part B: Name one property you used to solve this equation. (4 points)

### Answers

**Answer:**

Infinitely many solutions

**Step-by-step explanation:**

A.

5x + 3(x – 5) = 6x + 2x – 15

5x + 3(x) + 3(–5) = 6x + 2x – 15

5x + 3x – 15 = 8x – 15

8x – 15 = 8x – 15

This equation has **infinitely many solutions**.

Why? because they have the same terms on both sides of the equation, everything is the same.

B.

One property that was used to solve this equation is the **distributive property** 3(x – 5).

Hope this helps!

Part A:Infinitely many solutions

Part B:Distributive property

A state park is designed in a circular pattern as shown in the diagram. Marta rides her bike along the circular path from the ranger station to the pool. How far does she ride? Round your answer to the nearest tenth of a mile. Show your work please

### Answers

**Answer:**

2.3 miles

**Step-by-step explanation:**

**Given by the circular pattern as shown in the diagram:**

Ranger station to Nature Center = 90°

Nature center to petting zoo= 40°

Petting zoo to Tennis court =120°

Tennis court to Pool = 65°

Pool to Ranger station= 45°

The radius of the circular pattern = 1 mile

**Formula:**

Arc length = 2πr angle / 360° where r is radius and π=3.14

**Solution:**

Thus,

Arc length = 2×3.14×1×90°/360°

Arc length=2×3.14×1×1/4 =1.57 miles

Distance from Nature Center to Petting Zoo

Arc length= 2×3.14×1×40°/360°

Arc length= 2×3.14×1×1/9 = 0.70 miles

Total =1.57+0.70 =2.27 miles

Answer to the nearest tenth = 2.3 miles

*For more information:*

https://brainly.com/question/11692709

**~lenvy~**

what is the value of x that makes the given equation true 9+8x-4-5x=-19

### Answers

**Answer:**

x = -8

**Step-by-step explanation:**

9+8x-4-5x=-19

5+8x-5x=-19

5+3x=-19

-5 =-19

3x = -24

3/3 = -24/3

x= -8

Darrin graphs the following inequality: y > -3x -5. Does the side of the line with all solutions (the shaded region) include the test point (0,0)?

### Answers

**Yes it does include the test point (0, 0)**

**equation**: y > -3x -5

**Find y-intercept:** y > -3(0) -5 y > -5

**Find x-intercept:**y > -3x -5

switch sides

-3x - 5 < 0-3x < 5

Multiply both sides by -1 reverses the inequality

x > -5/3

**Thus, the following (0, 0) comes under the following x > -5/3 and y > -5**

what are the slope and y - intercept of the equation 6x+3y=-12

### Answers

**Answer:**

Slope= -2

y-intercept= -4

**Step-by-step explanation:**

To find the slope and y-intercept of a given equation, first rearrange the equation such that it is in the **slope-intercept form**. In the slope-intercept form, the coefficient of y is 1 and the rest are moved to the left hand side of the equation.

[tex]\textcolor{steelblue}{\text{Slope-intercept form}}[/tex]

y= mx +c, where m is the slope and c is the y-intercept

Given equation: 6x +3y= -12

Let's leave the y term on the left of the equation and bring the rest to the right.

3y= -6x -12

To ensure that the coefficient of y is 1, divide both sides by 3.

y= -2x -4

The equation is now in the slope-intercept form.

The slope is the coefficient of x (the number that comes before x), thus the slope is **-2**. The y-intercept is **-4**.

if 45% of an item is 72.00 what is the original price. someone help me

### Answers

**Answer:**

45% x 72.00 = 32.4

**Step-by-step explanation:**

**hope this helped :)**

**Answer:**

If 45% of an item is 72.00 what is the original price is, $160.00

**Step-by-step explanation:**

Suppose a charity received a donation of $22.2 million. If this represents 34% of the charity’s donated funds, what is the total amount of its donated funds?

### Answers

**Answer:**

ok so lets make this into a algrebra equation

22.2(mil)=0.34x

divide by 0.34

65294117.6471=x

x=65294118

Hope This Helps!!!

Find the value of x that makes line m ll n

### Answers

**Answer:**

See below ↓

**Step-by-step explanation:**

14.

Between two lines m ║ n, the ∦ cuts through them forming two anglesAs it forms a line, the sum of the angles is 180°3x + 47 + x + 7 = 1804x + 54 = 1804x = 126x = 126/4 = 63/2 = 31.5

15.

Alternate exterior angles on a transversal are equal5x = 2x + 783x = 78x = 26

the first day of shooting a movie, a director uses 30% of a film reel. The strip of

film used was 90 meters long.

What is the standard length on a film reel?

### Answers

**Answer:**

27

**Step-by-step explanation:**

30% of 90 can be written as 30% × 90

= 30/100 × 90

= 27