Mathematics College

## Answers

**Answer 1**

**Answer:**

12 minutes

**Step-by-step explanation:**

11/x = 55/60

11 x 5 = 55

60/5=12

**Answer 2**

12.01 minutes

time = distance / speed

where distance is the distance traveled, speed is the average speed of the travel, and time is the time taken to cover the distance.

We are given that the distance traveled is 11 miles and the average speed is 55 miles per hour. To convert the speed to miles per minute, we can divide it by 60 since 1 hour is equal to 60 minutes:

55 miles per hour = 55/60 miles per minute

= 0.9167 miles per minute (rounded to four decimal places)

Now we can substitute the values into the formula:

time = distance / speed

= 11 miles / 0.9167 miles per minute

≈ 12.01 minutes (rounded to two decimal places)

Therefore, it would take approximately 12.01 minutes to travel 11 miles at an average speed of 55 miles per hour.

*IG:whis.sama_ent

## Related Questions

The indirect measurements, round your answer to the nearest meter. (The figure is not drawn to scale)

### Answers

The **similar **triangle is solved and the **width **of the **river **is R = 33.88 m

Given data ,

Let the base of the larger **triangle **be = 59 m

Let the base of the smaller triangle be = 35 m

Now , height of smaller triangle = 20.1 m

And , **width **of the **river **= height of the larger triangle

From the **similar triangles **, we get

59 / 35 = R / 20.1

Multiply by 20.1 on both sides , we get

R = 33.88 m

Hence , the width of **river **is 33.88 m

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Felicia is deciding on her schedule for next semester. She must take each of the following classes: English 102, Spanish 102, History 102, and College Algebra. If there are 15 sections of English 102, 9 sections of Spanish 102, 12 sections of History 102, and 13 sections of College Algebra, how many different possible schedules are there for Felicia to choose from? Assume there are no time conflicts between the different classes.

### Answers

Okay, here are the steps to solve this problem:

* There are 15 sections of English 102 to choose from

* There are 9 sections of Spanish 102 to choose from

* There are 12 sections of History 102 to choose from

* There are 13 sections of College Algebra to choose from

So for English 102 Felicia has 15 options, for Spanish 102 she has 9 options, for History 102 she has 12 options, and for College Algebra she has 13 options.

By the Fundamental Principle of Counting, the total number of possible schedules is:

15 * 9 * 12 * 13 = 16,920

Therefore, the total number of possible schedules for Felicia is 16,920

The distance between Eilat and Jerusalem is 292 kilometers. Give this distance in miles. Round the answer to the nearest tenth.

### Answers

This distance in **miles **is 181.3 miles.

It's worth noting that the conversion **factor **of 1 kilometer equals 0.621371 miles is an exact value defined by international agreement, so there is no rounding involved in the conversion itself. The rounding occurs only when expressing the result in a specific number of decimal places. It's also worth noting that conversions between units of measurement are important in many fields, including science, engineering, and international trade.

To convert kilometers to miles, we can use the conversion factor of 1 **kilometer **equals 0.621371 miles. Therefore, to find the distance between Eilat and Jerusalem in miles, we can multiply the given distance of 292 kilometers by 0.621371:

292 km × 0.621371 = 181.344052 miles

Rounding this result to the nearest tenth gives:

181.3 miles

Therefore, the distance between Eilat and Jerusalem is approximately 181.3 miles.

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Help math homework will brainlist

### Answers

Answer:

? = 13.7

Step-by-step explanation:

Right triangle equation A^2 + B^2 = C^2

7.6^2 + 11.4^2 =

57.76 + 129.96 = 187.72

find the square root of 187.72 by putting it in the calculator

187.72 = 13.70109485^2

Estimate = 13.7^2

In a different plan for area codes, the first digit could be any number from 1 through 7, the second digit was either 3, 4, 5, 6, and the third digit could be any number except 6, 7, or 8. With this plan, how many different area codes are possible?

### Answers

Answer:

196

Step-by-step explanation:

There are 7 choices for the first spot.

4 choices for the second spot. And 7 choices for the third spot, which cannot be 6,7,8--so it can be 0,1,2,3,4,5 or 9 (7choices)

7 × 4 × 7 is 196

There are 196 possibilities for the three digit area code with this plan.

The price of an item has been reduced by 25%. The original price was $35

### Answers

Answer is = $26.25 sale price

Step by step

Original price $35

Less (reduced) by 25%

Let x = sale price

X = 35 - (35 * .25)

X = 35 - 8.75 = $26.25 sale price

Supplementary angles

### Answers

I think it could be EBA

Explanation

Supplementary Angles are 2 angles that add up to 180°.

**Answer: ∠HDG**

**Step-by-step explanation:**

Starting Angle: ∠HDE

Possible Supplement: ∠HDG

Use a graphing calculator to approximate the zeros and vertex of the following quadratic functions. Y = x^2 - 5x + 2

### Answers

**Answer:**

The vertex is: [tex](\frac{5}{2} - \frac{17}{4} )[/tex]

The zero is: [tex]\frac{5+-\sqrt{17} }{2}[/tex]

**Hope this helps :)**

*Pls brainliest...*

URGENT!! ILL GIVE

BRAINLIEST! AND 100 POINTS

### Answers

The** final counts** are:** **

**58 students interested in athletics** but not academic clubs, 118 students interested in academic clubs but not athletics, 96 students not interested in academic clubs, 156 students not interested in athletics.

How to solve

Given a survey of 240 students, 35% of students were interested in athletics, which is equal to **84 students. **

3/5 of students were interested in **academic clubs**, which is equal to 144 students.

**26 students **were interested in both athletics and academic clubs.

Using this information, we can fill in the** remaining cells **of a table to show the number of students in each category.

The** final counts** are:** **

**58 students interested in athletics** but not academic clubs, 118 students interested in academic clubs but not athletics, 96 students not interested in academic clubs, 156 students not interested in athletics.

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Danny works at the hunting and fishing supply store. At the end of each month he earns a commission on all of his sales for that month.

He earns a 2.5% commission on his first $4000 in sales.

He earns a 7.5% commission on any amount of sales beyond $4000. Lastmonthheworkedhardandearned$1000commission. How much,in dollars,did he have in sales last month?

(The answer is 16,000 I just need to figure out how to do it)

### Answers

Danny had the **sales **of **total **$16,000.

We have,

He earns a 2.5% commission on his first $4000 in sales.

He earns a 7.5% **commission **on any amount of sales beyond $4000.

**Commission earned **= $1000

So, 6.25% of x = 1000

6.25/10 x = 1000

0.0625x = 1000

x= 1000/ 0.0625

x= $16,000

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Danny had the **sales **of **total **$16,000.

We have,

He earns a 2.5% commission on his first $4000 in sales.

He earns a 7.5% **commission **on any amount of sales beyond $4000.

**Commission earned **= $1000

So, 6.25% of x = 1000

6.25/10 x = 1000

0.0625x = 1000

x= 1000/ 0.0625

x= $16,000

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a cuboid with length of 21 cm and height of 16 cm has a volume of 6384 cm3. find its breadth ik

### Answers

**Answer:18**

**Step-by-step explanation:18**

Solve the system of equations.

y = 2 - 6x

1/2y - x = 1

Question 4 options:

(0,-2)

(2,0)

(-2,0)

(0,0)

(1,-4)

### Answers

**Answer:**

**Step-by-step explanation:**

We can start by solving the second equation for y:

1/2y - x = 1

1/2y = x + 1

y = 2x + 2

Now we can substitute this expression for y into the first equation:

y = 2 - 6x

2x + 2 = 2 - 6x

Adding 6x to both sides, we get:

8x + 2 = 2

Subtracting 2 from both sides, we get:

8x = -0

Dividing both sides by 8, we get:

x = 0

Now we can use this value of x to find y:

y = 2x + 2

y = 2(0) + 2

y = 2

Therefore, the solution to the system of equations is x=0 and y=2.

During one week an overnight delivery company found that the weight of its parcels were normally distributed with a mean of 32 ounces and a standard deviation of 8 ounces.

What percent of the parcels weighed between 16 ounces and 40 ounces? Round your answer to one decimal place.

### Answers

The **percent **of the parcels weighed between 16 ounces and 40 ounces is 81.9%.

What is z-score?

To solve this problem, first, find the** z**-**scores **for the weights of 16 ounces and 40 ounces using the given mean and standard deviation:

z1 = (16 - 32) / 8 = -2

z2 = (40 - 32) / 8 = 1

Next, we need to find the **area **under the standard normal distribution curve between these two z-scores. We can use a **standard **normal distribution table or a calculator to find this area. Using a calculator, we get:

P(-2 < Z < 1) = 0.8186

So, approximately 81.9% of the **parcels **weighed between 16 ounces and 40 ounces.

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simplified version of 3 square root 4x over 5

### Answers

3√4x/5

the / slash before the 5 is over so you put the 3√4x at the top of the fraction and the 5 at the bottom, so it would be 3√4x divide 5

What is the equation of the line that represents the horizontal asymptote of the function

f(x) = 3000 (1 +0.09)^x-2 +4?

### Answers

**Answer: y=4**

**Step-by-step explanation:**

The Parent function [tex]y=a^{x}[/tex] has a horizontal asymtote at y=0

because the function approaches 0 but never touches it no matter how small the number you input. See image. Asymtotes are like a boundary that is not passed

Your curve has been shifted up 4 so y=4

See image

Extra info: y-intercept = 3000

shifted right 2

brainliest and 20 point goes to whoever shows work that i can understand

### Answers

**Answer:**

9. 40 = 2πr

r = 20/π inches = 6.4 inches

d = 40/π inches = 12.7 inches

10. 256 = 2πr

r = 128/π feet = 40.7 feet

d = 256/π feet = 81.5 feet

make a number line a ns mark all the points that represent the following values of x.

x≤-2 and x<-5

### Answers

All the points less than -5 will be marked on the **number line**.

To represent the **values **of x where x ≤ -2 and x < -5 on a number line, we start by marking a point at -2 and shading everything to the left of it since x is less than or equal to -2. Next, we add another shading to the left of -5 since x is also less than -5. We then mark an open circle at -5 since x is not equal to -5.

Our number line would look like this as image attached below.

The shaded region to the left of -5 represents all values of x that are less than -5. The shaded **region **between -5 and -2 represents all values of x that are between -5 and -2, including -5 and -2. The open circle at -5 indicates that x cannot equal -5, but can be any other value less than -5.

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A right rectangular prism has a length of 15 cm width of 10 cm and a height of 5 cm savanna claims that doubling the length width and height of the prism will double its surface area is Savannah, correct?

### Answers

No, Savannah is incorrect. Doubling the **length**, width, and height of a right rectangular prism will not double its surface area.

What is surface area?

**Surface area** is the total area of an object's exposed faces, including any external surface area. It is a **measure** of the size of a surface and is usually expressed in square units such as square meters or square centimeters. Surface area is a two-dimensional measurement, since it only takes into account the area of a surface, and not its thickness or volume.

The surface area of a right rectangular prism is calculated by multiplying the length by the width and then multiplying that number by two and adding the two products together.

For example, the surface area of a right rectangular prism with a length of 15 cm, a width of 10 cm, and a height of 5 cm is calculated as follows:

Surface area = (15 cm * 10 cm) + (15 cm * 5 cm) = 150 cm2 + 75 cm2 = 225 cm2

Doubling the length, width, and height of this right rectangular prism would give us a prism with a length of 30 cm, a width of 20 cm, and a height of 10 cm. The surface area of this new prism would be calculated as follows:

Surface area = (30 cm * 20 cm) + (30 cm * 10 cm) = 600 cm2 + 300 cm2 = 900 cm2

As you can see, doubling the length, width, and height of the right rectangular prism does not double its surface area - the surface area has increased by four times (900 cm2/225 cm2 = 4).

In conclusion, doubling the length, width, and height of a right rectangular prism does not double its surface area; rather, it increases the surface area by a factor of four.

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No, Savannah is incorrect. Doubling the **length**, width, and height of a right rectangular prism will not double its surface area.

What is surface area?

**Surface area** is the total area of an object's exposed faces, including any external surface area. It is a **measure** of the size of a surface and is usually expressed in square units such as square meters or square centimeters. Surface area is a two-dimensional measurement, since it only takes into account the area of a surface, and not its thickness or volume.

The surface area of a right rectangular prism is calculated by multiplying the length by the width and then multiplying that number by two and adding the two products together.

For example, the surface area of a right rectangular prism with a length of 15 cm, a width of 10 cm, and a height of 5 cm is calculated as follows:

Surface area = (15 cm * 10 cm) + (15 cm * 5 cm) = 150 cm2 + 75 cm2 = 225 cm2

Doubling the length, width, and height of this right rectangular prism would give us a prism with a length of 30 cm, a width of 20 cm, and a height of 10 cm. The surface area of this new prism would be calculated as follows:

Surface area = (30 cm * 20 cm) + (30 cm * 10 cm) = 600 cm2 + 300 cm2 = 900 cm2

As you can see, doubling the length, width, and height of the right rectangular prism does not double its surface area - the surface area has increased by four times (900 cm2/225 cm2 = 4).

In conclusion, doubling the length, width, and height of a right rectangular prism does not double its surface area; rather, it increases the surface area by a factor of four.

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Can somebody please help me find poetic elements in this poem fast!!!

Poem: citizenship by Javier Zamora

There’s also an image of the poem

### Answers

Some **poetic elements **found in the poem are:

IronyRepetitionPersonification**Metaphor****Imagery**

**What are poetic elements?**

**Poetic elements** are described as the devices used that characterize a piece of writing as a poem and are integral to categorise a piece of writing as poetry, such as poetic meter and **rhyme scheme.**

In the poem, the author uses **Imagery **which is described as** ** use of sensory details to create vivid mental images in the reader's mind.

The author made use of **metaphor** as a comparison between two things that are not alike, in order to create an image or deepen understanding.

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A party company is designing a new line of individualized bubbles for various celebrations such as birthday parties, weddings, and anniversaries. The bubbles will be sold in various-sized packs. The individual container of bubbles will be a plastic cylindrical tube with a diameter 2 cm and a height of 8 cm.

How many square centimeters of plastic are needed for one tube of bubbles?

Round your answer to the nearest whole number.

A. 50 cm^2

B. 57 cm^2

C. 63 cm^2

D. 53 cm^2

### Answers

The correct answer is option B. That is the **amount** of plastic needed for making one plastic **cylinder** is 57 cm²

What is a cylinder?

A **cylinder** is a three-dimensional **geometric** shape that has two congruent circular bases that lie parallel to each other and are connected by a curved surface. It can be thought of as a stack of circles or as a prism with a curved surface. Some common examples of cylinders include soda cans, water bottles, and pipes.

Given that the individual container of bubbles will be a plastic cylindrical tube with a diameter 2 cm and a height of 8 cm.

So radius = diameter/2 = 2/2 = 1 cm.

The surface area of the cylinder = 2πrh + 2πr²

SA = 2π × 1 ×8 + 2π × 1²

SA = 2π + 16π

SA = 18π

Substituting the value of π = [tex]\frac{22}{7}[/tex]

Hence, SA = 18π = 18 × [tex]\frac{22}{7}[/tex] ≈ 56.57

Rounding to the nearest integer, we get:

Answer: B. 57 cm^2.

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For a 20-year endowment insurance on (65) with face amount 1,000:

benefits are payable at the moment of death, or at the end of 20 years if the

insured survives.

− Mortality follows the Illustrative Life Table with = 0.06.

− Deaths are uniformly distributed between integral ages.

− Gross premiums are payable at the beginning of each year for 20 years, and are

determined by the equivalence principle.

− Commissions and taxes are 35% of the gross premium in the first year, 5% in the

other years, and are paid at the beginning of each year.

− Other expenses are 1 in all years, paid at the beginning of the year.

Calculate the gross premium for the endowment insurance

### Answers

The** gross premium f**or the endowment insurance is **73.**

How to solve

To calculate the **gross premium** for the endowment insurance, we can use the equivalence principle, which states that the present value of the premiums must equal the present value of the **benefits**.

We can break down the problem into two parts: the **present value** of the death benefit and the present value of the endowment benefit.

First, let's calculate the **present value** of the death benefit. The death benefit is payable at the moment of death, and the probability of dying at age x is given by qx, where qx is the probability of surviving to age x.

Since deaths are** uniformly distributed **between integral ages, we can assume that deaths occur at the midpoint of the age interval. Therefore, the probability of dying at age x can be approximated by

.

Let's denote the **present value **of the death benefit as DB. Using the equivalence principle, we can write:

DB = A*(1+0.35) - E0 - C1 - 0.05A(1+0.05)

- 0.05A(1+0.05)

- ... - 0.05A(1+0.05)

where A is the annual premium, E0 is the expense paid at the beginning of the first year, and C1 is the commission and tax paid at the beginning of the first year.

The factor (1+0.35) accounts for the commission and tax on the first year premium.

Using the formula for the present value of a perpetuity, we can simplify the above equation to:

DB =

= 116.22

where q65/2 is the **probability** of dying at age 65. We can obtain q65/2 from the Illustrative Life Table, which gives

q65/2 = 0.112488.

Therefore, the** gross premium f**or the endowment insurance is **73.**

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The equation for a projectile's height versus time is h(t)=-16t^2+Vt+h. A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 110 feet per second. Which equation correctly models the ball’s height as a function of time?

### Answers

The **maximum height** at the moment is 191.0625 ft.

**What is the** **projectile's height?**

Let's find out the **projectile's **maximum height now that we know what it is. The highest vertical location along the object's flight is considered to be its maximum **height**. The **range **of the bullet is defined as its horizontal displacement.

Here, we have

Given: The equation for a** projectile's height** versus time is h(t)=-16t²+Vt+h. A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an **initial speed** of 110 feet per second.

The equation for a **projectile's height** versus time is

h(t) = -16t²+Vt+h

h = 2

V = 110

Substitute these **values **into the function

h(t) = -16t²+110t+2

Take the first derivative

h'(t) = -32t + 110

Equate the **derivative **with zero h'(t) = 0

0 = -32t + 110

110 = 32t

t = 110/32

t = 3.4375

Find the **maximum height **at the moment

t = 3.4375 (s)

h(3.4375) = -16(3.4375)² + 110(3.4375) + 2

h(3.4375) = -189.0625 + 378.125 + 2

h(3.4375) = 191.0625 ft

Hence, the **maximum height** at the moment is 191.0625 ft.

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what is the inverse of f(x)=(4x-9)^1/2

### Answers

The inverse of f(x) = [tex](4x-9)^{1/2[/tex] when the variables of **x and y** are switched is [tex]F(x)^{-1}[/tex] = [tex]\frac{x^{2}+9 }{4}[/tex]

**What is an Inverse of a Function?**

**Inverse of a function **is a function which can be** reversed** into another function. It is also a function that **undoes** the action of the another function.

How to determine this

When f(x) = (4x-9)^1/2

To determine the inverse, [tex]f(x)^{-1}[/tex]= y

y = (4x-9)^1/2

y = [tex]\sqrt{4x-9}[/tex]

By squaring both sides

y^2 = 4x - 9

By swapping the variables

x^2 = 4y - 9

Subtracting 9 from both sides

x^2 +9 = 4y

divide through by 4

[tex]\frac{x^{2}+9 }{4}[/tex] = 4y/4

y = [tex]\frac{x^{2}+9 }{4}[/tex]

Therefore [tex]F(x)^{-1}[/tex] = [tex]\frac{x^{2}+9 }{4}[/tex]

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A triangle with an area of 40 in.² has a height that is four less than six times the base. Find the base and height of the triangle.

### Answers

Let's call the base of the triangle "b" and the height "h". We know that the area of the triangle is 40 in², so:

Area = 1/2 * base * height

Plugging in the given values, we get:

40 = 1/2 * b * h

Simplifying, we get:

80 = b * h

We also know that the height is four less than six times the base, so:

h = 6b - 4

Now, we can substitute this expression for "h" into the equation we just derived for the area:

80 = b * (6b - 4)

Expanding the brackets, we get:

80 = 6b² - 4b

Rearranging, we get:

6b² - 4b - 80 = 0

Dividing both sides by 2, we get:

3b² - 2b - 40 = 0

This is a quadratic equation, which we can solve using the quadratic formula:

b = (-(-2) ± sqrt((-2)^2 - 4(3)(-40))) / 2(3)

b = (2 ± sqrt(304)) / 6

The positive solution is:

b = (2 + sqrt(304)) / 6

b ≈ 3.54

Now, we can use the equation we derived earlier to find the height:

80 = b * h

h = 80 / b

h = 80 / 3.54

h ≈ 22.6

Therefore, the base of the triangle is approximately 3.54 inches and the height is approximately 22.6 inches.

**Answer: 9.32 inches.**

**Step-by-step explanation:**

22. An airplane pilot approaches an airport with an angle of depression of 11°. His current elevation is 20,000ft.

Find the ground distance from the airplane to the airport to the nearest 100ft.

20,000 ft

11⁰

X

22.

Please help and show work

### Answers

**Answer: x=102900 feet. **

**Step-by-step explanation:**

The horizontal line extending from the airplane is parallel to the ground. Therefore, the angle of elevation (the angle opposite to the side measuring 20,000 ft) is also 11°. In addition, the angle opposite to x is 90-11=79°. Then, you can use the law of sines to solve for x.

[tex]\frac{sin11}{20000} =\frac{sin79}{x}[/tex]

Solve for x. x=102891. Rounded, 102900.

Or, you can use the tan function. [tex]tan11=\frac{20000}{x}[/tex]

Solve for x. Rounded, x=102900.

NEED HELP WILL GIVE BRAINLIEST AND WILL RATE. Show work and I only need #1

### Answers

The **end behavior **of f(x) is described as follows:

As x -> -∞, f(x) -> ∞.As x -> ∞, f(x) -> 0.

How to obtain the end behavior of a function?

The **end behavior **of a function is given by the limit of the function is the input x goes to either negative infinity or positive infinity.

The **function **for this problem is given as follows:

f(x) = 4(5/7)^x.

It is an exponential function with base with absolute value less than 1, hence the **end behavior** is given as follows:

Increases to the left of the graph -> As x -> -∞, f(x) -> ∞.Approaches the horizontal asymptote y = 0 at the right of the graph -> As x -> ∞, f(x) -> 0.

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help math will give brainlist

### Answers

**Answer:**

arc PTR = 277°

**Step-by-step explanation:**

PS is the diameter of the circle , then arc PS = 180°

arc PTR = PS + SR = 180° + 97° = 277°

**Answer:**

arc PTR = 277°

**Step-by-step explanation:**

PS is the diameter of the circle , then arc PS = 180°

arc PTR = PS + SR = 180° + 97° = 277°

Construct an Argument | Batter is being poured into the right rectangular prism-shaped pan so that the pan is full. What is the volume of the batter in the pan? 9 in. 3 In. 5 in.

### Answers

**Answer:**

Valid

**Step-by-step explanation:**

The volume of the batter in the pan can be found by multiplying the length, width, and height of the right rectangular prism-shaped pan. In this case, the length is 9 inches, the width is 5 inches, and the height is 3 inches.

Using the formula for the volume of a rectangular prism, V = lwh, we can substitute the given values to find:

V = (9 in.)(5 in.)(3 in.)

V = 135 cubic inches

Therefore, the volume of the batter in the pan is 135 cubic inches. This argument is valid because it follows the basic formula for calculating the volume of a rectangular prism and uses the specific measurements provided for the length, width, and height of the pan.

$900 is deposited in an account with 4%

interest rate, compounded continuously.

What is the balance after 10 years?

F = $[?]

### Answers

**Answer:**

[tex]\$1342.64[/tex]

**Step-by-step explanation:**

We can represent the value [tex]A[/tex] of a quantity [tex]P[/tex] **compounded continuously** for [tex]t[/tex] years at [tex]r[/tex] rate of interest as:

[tex]A = P\cdot e^{rt}[/tex]

This formula uses the **mathematical constant** [tex]e[/tex] (approx. 2.72), which is the theoretical **limit** for continuous compounding.

Plugging the given values into the formula:

[tex]A = \$900 \cdot e^{(0.04 \, \cdot \, 10)}[/tex]

We can now solve for [tex]A[/tex].

↓ simplifying [tex]e[/tex]'s exponent

[tex]A = \$900 \cdot e^{0.4}[/tex]

↓ plugging into a calculator

[tex]A \approx \$1342.64222788[/tex]

↓ rounding to the nearest cent

[tex]\boxed{A \approx \$1342.64}[/tex]

what’s answer

0.57

0.7

0.82

1.44

### Answers

**Answer:**

**Step-by-step explanation:**

Sin O= opp/hyp

Sin 55 = BC/AB

Sin 55=.82

so

BC/AB=.82