Mathematics College

## Answers

**Answer 1**

The **distance **traveled by the **driver **during her** reaction time** based on her speed was** 44 feet. **

How far did the driver get during her reaction time?

find the speed in **feet per second** to be:

= (40 x 5,280 feet per hour) / Number of seconds in an hour

= 211,200 / 3,600

= **58.67 feet per second**

With a **reaction speed **of **3/4 seconds, **the distance traveled is:

= 58.67 x 3/4

=** 44 feet **

**Full question** is:

The driver of a car traveling at a speed of 40 miles per hour had to stop the car quickly. Using the driver's speed in feet per second, how far did her car travel during her reaction time of 3/4 of a second?Round your answer to two decimal places

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## Related Questions

Find the x-intercept of the graph of the linear equation y = −1

2

x + 3.

x-intercept

### Answers

**Answer:**

**Step-by-step explanation:**

x intercept equals pi

**Answer:**

x intercept= 6

**Step-by-step explanation:**

Use your calculator to find the approximate value of e. (Round to 4 decimal places)

### Answers

Using **a calculator **to find the approximate value of e in

F(e)=e^{2e} we have **F(e)=229.6516. **This is further explained below.

What is **maclurin polynomial?**

Generally, To approximate a function **f (x) f (x) f (x) **for values of x near to zero, one may use a power series known as a **Maclaurin series.**

In conclusion, Using your calculator to find the approximate value of e in

F(e)=e^{2e}

We have

F(e)=e^{2e}

**F(e)=229.6516**

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If P = (-2,7), Find:

Rx-1(P)

([?], [])

### Answers

**Answer is (4,7)**

**Step-by-step explanation:**

Participants in a darts tournament get 4 points

if they hit the red circle, 1 point if they hit the

blue circle, and no points if they miss both

circles. Each participant has 4 darts. How

many different scores are possible if everyone

gets at least one point?

### Answers

Using the **Fundamental Counting Theorem,** it is found that **80 different scores** are possible if everyone gets at least one point.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the **number of ways **they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

There are **4 darts**, and for each dart **3 possible scores**, hence:

[tex]n_1 = n_2 = n_3 = n_4 = 3[/tex]

Hence the **number of possible scores**, removing the one score with zero points on all four rounds, is:

N = 3 x 3 x 3 x 3 - 1 = 80.

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Which expression is equivalent to

### Answers

The **expression **that is **equivalent **to the given expression is **16⁴**

Evaluating an Expression

From the question, we are to determine the **expression **that is **equivalent **to the given expression

The** given expression** is

[tex](\frac{1}{16} )^{-4}[/tex]

**Evaluating**

[tex](\frac{1}{16} )^{-4}[/tex]

[tex]= (16^{-1} )^{-4}[/tex]

[tex]= 16^{-1 \times -4}[/tex]

[tex]= 16^{4}[/tex]

Hence, the **expression **that is **equivalent **to the given expression is **16⁴**

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Cost of a CD: $19.95

Markup: 70%

### Answers

**Answer:**

$33.915 for the cd

**Step-by-step explanation:**

70% of 19.95 = 13.965

19.95 + 13.965= 33.91

Which ordered pair is the best estimate for the solution of the system of equations?

{y=4x−19.4

{y=0.2x−4.2

(−3.5, 4)

(4.9, −3.5)

(4, −3.4)

(4.9, 0)

### Answers

The **ordered pair** which is a solution of the system of equations is; **(4.9, 0)****.**

Which solution pair is the best estimate of the system solution?

The equations given in the task content can be solved as a system as follows, since y = y;

4x -19.4 = 0.2x -4.2

4x -0.2x = 19.4 -4.2

3.8x = 15.2

x = 15.2/3.8

**x = 4.9**

y = 4(4.9) -19.4

y = 0.2

Hence, the best **ordered pair** solution is;** (4.9, 0).**

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A town has population of 5000 and grows at 3.5% every year. To the nearest tenth

of a year, how long will it be until the population will reach 7300?

### Answers

It would take approximately **11 years **for this **population** to reach **7300**.

How to calculate the time?

Based on the information provided, the future **size **of the **population** can be modelled by using an **exponential function**:

F = Pe^rt

Substituting the given parameters into the formula, we have;

7300 = 5000e^{0.035 × t}

7300/5000 = e^{0.035t}

1.46 = e^{0.035t}

Taking the ln of both sides, we have:

ln(1.46) = ln(e^{0.035t})

0.378 = 0.035t

t = 0.378/0.035

**Time, t **=** 10.8 **≈** 11 years**.

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Choose the lowest common denominator.

03 04 05 06 08 010 012

Find the sum:

Alw

The sum is

and

colch

The expression written in equivalent form with a

common denominator is

Done

### Answers

1) 8

2) [tex]-\frac{3}{4}=-\frac{6}{8}[/tex], so it is equal to [tex]-\frac{6}{8}+\frac{5}{8}[/tex]

3) 1/8

A fair coin is flipped twice. What is the probability of showing heads on both flips?

### Answers

**Answer:**

0.25 or 1/4

**Step-by-step explanation:**

P(coin is flipped as head) = 0.5 or 1/2 (one of 2 sides)

P(coin is flipped as head twice) = P(coin is flipped as head) x P(coin is flipped as head)

= 0.5 x 0.5

= 0.25 or 1/4

Rewrite in simplest terms: -3(7n+5n+8)-8n

### Answers

**Answer:**

28n+24

**Step-by-step explanation:**

3 ( 7 n + 5 n + 8 ) - 8 n

combine 7n and 5n to get 12n

3 ( 12n + 8 ) - 8

distribute 3 to 12n +8

36n+24-8n

combine like terms

28n+24

since ypu cant simply any more it stays like thats

*by the way there is an app that helps with equation and explains the process, its Microsoft Math Solver. hope it helped

! PLS HELP ! There are a total of 30 white and black marbles in a box. There are 14 more white marbles than black marbles. How many black marbles are in the box?

### Answers

**Answer:**

There are 8 black marbles.

**Step-by-step explanation:**

First, set up your equation. You have black (b) and white (w) marbles, total of 30, so those will be your variables to set in your equation.

w + b = 30

You mentioned that there are 14 more white marbles then black. Therefore, white marbles will have b many marbles + 14, creating the equation:

w= b + 14

If w = b + 14 and w can be easily substituted in the first equation, substitute w for b + 14. This will result in having the equation of:

(b +14) + b= 30

Simplify this equation, combine like terms to break down the equation, making it easier for you to solve for b.

-Subtract 14 from both sides.

-Add b + b = 2b

Then, you will have your resulting equation in which you divided 2 from both sides to get b by itself.

2b = 16

b=8

There are 8 black marbles.

a) The difference between the circumference and the diameter of a circle is 90cmFind the radius of the circle

### Answers

**Answer:**

r=21.01 cm

**Step-by-step explanation:**

2r = diameter

Circumference of a circle = pi 2r

difference = 90

pi2r - 2r =90

2r (pi-1) =90

90/(2(pi-1) = r = 21.01 cm

WHATS THE CORRECT ANSWER ANSWER ASAP

### Answers

**Answer:**

**Step-by-step explanation:**

**Comment**

A: Gravity always pulls downward towards (to keep it simple) the earth's center. The answer is not A.

C: If you are interested in upward motion, Friction is** not** going to be the **answer. **What will the rocket rub against to make it go up?

D: Centripetal Force has to do with circular motion, The rocket generally is not thought of as going in a circle. Not D.

**Answer: B**. A chemical reaction can be directed so the energy will force an upward motion.

Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0

### Answers

The **equations **that can be used are y * (y - 5) = 750, y^2 - 5y = 750 and (y + 25)(y – 30) = 0

How to determine the equations?

The given parameters are:

Length = y

Width = y - 5

Area = 750

The **area **of a **rectangle **is:

Area = Length * Width

So, we have:

y * (y - 5) = 750

Expand

y^2 - 5y = 750

Rewrite as:

y^2 - 5y - 750 = 0

Factorize

(y + 25)(y – 30) = 0

Hence, the **equations **that can be used are y * (y - 5) = 750, y^2 - 5y = 750 and (y + 25)(y – 30) = 0

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**Complete question**

The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room?

Which expressions represent purely real numbers and which expressions represent non-real complex numbers?

All rights reserved.

-289

i9

√(-18)

4- 321² 2 √-49

3 +2i

Purely Real Number

Non-real Complex Number

### Answers

An **expression **is defined as a set of **numbers**, variables, and **mathematical** operations.

What is an Expression?

In mathematics, an **expression **is defined as a set of **numbers**, variables, and **mathematical** operations formed **according **to rules **dependent **on the **context. **

From the given **expression** the **numbers** can be **classified **as,

**Real Numbers**

-289i⁹ = -14-32i² = 36

**Non-real / Complex Number**

3 + 2i2 - √-49 = 2 - 7i

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Does anyone how to solve this sum? It’s urgent

### Answers

The **required value **for the** sum is 9580**.

[tex]\frac{10000}{(1+\frac{0.115}{4})^2}+68\frac{1-\frac{1}{(1+\frac{0.115}{4})^2}}{\frac{0.115}{4}}[/tex]

What is simplification?

**Simplification **in mathematics to solve the given condition on its operators.

[tex]\frac{10000}{(1+\frac{0.115}{4})^2}+68\frac{1-\frac{1}{(1+\frac{0.115}{4})^2}}{\frac{0.115}{4}}[/tex]

= [tex]\frac{10000}{1.028^2} +68*\frac{1-\frac{1}{1.028^2} }{\frac{0.115}{4} } \\9451+68*\frac{1-0.94}{\frac{0.115}{4} } \\\\9451+68*\frac{0.054}{\frac{0.115}{4} } \\\\\\9451+3.72{\frac{4}{0.115} } \\\\\\9451+129\\[/tex]

= 9580

The required **solution **is given as **9580.**

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(01.05 LC)

Which of the following is an equivalent form of the compound inequality −44 > −2x − 8 ≥ −48?

−2x − 8 > −44 and −2x − 8 ≥ −48

−2x > −44 and −8 ≥ −48

−2x − 8 < −44 and −2x − 8 ≤ −48

−2x − 8 < −44 and −2x − 8 ≥ −48

### Answers

The** equivalent form **of the compound inequality are **−2x − 8 < -44 and −2x − 8 ≥ −4**

Compound inequality

Inequality are expression **not separated by an equal sign**. Given the compound inequality

−44 > −2x − 8 ≥ −48?

Add 8 to all the sides

−44 + 8> −2x − 8+8 ≥ −48 + 8

−36 > −2x ≥ −40

This can be **also be writte**n as

−44 > −2x − 8 and −2x − 8 ≥ −48

Changing the sides will change the sign to have

−2x − 8 < -44 and −2x − 8 ≥ −48

Hence the** equivalent form **of the compound inequality are **−2x − 8 < -44 and −2x − 8 ≥ −4**

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2. Employed Women If 60% of all women are employed

outside the home, find the probability that in a sample

of 20 women,

aid sel

Mil

2

a. Exactly 15 are employed

b. At least 10 are employed

c. At most 5 are not employed outside the home

### Answers

Using the **binomial **distribution, the **probabilities **are given as follows:

**a)** 0.0747 = 7.47%.

**b) **0.8725 = 87.25%.

**c) **0.1256 = 12.56%.

What is the binomial distribution formula?

The **formula **is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The **parameters **are:

**x **is the number of successes.**n **is the number of trials.**p **is the probability of a success on a single trial.

The **values of the parameters** are:

n = 20, p = 0.6.

Item **a**:

The probability is **P(X = 15)**, hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 15) = C_{20,15}.(0.6)^{15}.(0.4)^{5} = 0.0747[/tex]

Item **b**:

The **probability **is:

[tex]P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) + \cdots + P(X = 20)[/tex]

Finding each value with the equation we used in item a, we have that:

[tex]P(X \geq 10) = 0.8725[/tex]

Item **c**:

At least 20 - 5 = 15 on the road, hence the **probability **is:

[tex]P(X \geq 15) = P(X = 15) + P(X = 16) + \cdots + P(X = 20)[/tex]

Then, using the same procedure as item b, we have that:

[tex]P(X \geq 15) = 0.1256[/tex]

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Which expression is equivalent to –2(5x – 0.75)? 10x – 0.75 10x 0.75 –10x – 1.5 –10x 1.5

### Answers

**Answer: -10x+1.5**

**Step-by-step explanation:**

[tex]-2(5x-0.75)=-10x+1.5[/tex]

Find the values of x and y.

### Answers

Answer: is C

Step-by-step explanation:

What is the range of the function y=3√x+8?

-∞xy<∞

-80≤y<∞

2≤y<∞

### Answers

The **range** of the **function** the as given in the equation is; -**∞**** ****≤ y < ∞.**

What is the range of the function?

It follows from the task content that the function given is; **y=3√x+8****.**

On this note, it follows that the **range** of the function is the **set** of all possible outputs, **y values** and in this case is;** ****-∞**** ≤ y < ∞****.**

It therefore follows that the **range** of the function is as indicated above as all **X-values (domain)** must be **positive**** **and the **square root** of **x** yields a **positive** or **negative** real **number**.

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Need help with this one step by step please? A.

500 meters

B.

360 meters

C.

63 meters

D.

1,000 meters

### Answers

**Answer:**

B. 360 meters

**Step-by-step explanation:**

The **triangles** shown are **similar**, so their **corresponding parts are proportional**.

Setup

There are a couple of useful proportions here. We can equate the ratio of horizontal segments to the ratio of diagonal segments:

(600 m)/(250 m) = ??/(150 m)

Or, we can equate the ratios of the diagonal segment to the corresponding horizontal segment:

??/(600 m) = (150 m)/(250 m)

Solution

Either way, when we multiply the equation by the denominator of ??, we get the result ...

?? = (600)(150/250) m = 360 m

**The distance from F to G is 360 meters**.

SOMEONE GIVE ME THE ANSWER TO THIS PROBLEM

### Answers

**Step-by-step explanation:**

1 week is 3 rats

( w × 3 ) + 4

hope this helps

**Answer:**

P(w) = **3w+4**

**Step-by-step explanation:**

For a Linear Equation , it takes the Form y = mx + c

where c is the Constant which is y-value at x=0

and the m is the Slope which is the change in y-value for a 1-unit change in x-value

So for our Question

y-value is represented by P(w) , Number of Rats

x-value is represented by w , Number of Weeks

So the Constant (**c**) is the P(w) at w=0 which is** 4**

and the Slope is the Change in P(w) value as w changes by 1 unit , which from week 0 to week 1 , P(w) changed from 4 to 7 , so the Change =7-4=3

Then the Slope **m = 3**

So the Linear Equation will be P = mw+c

Then **P(w) = 3w+4**

A $15 credit to revenue was posted as a $150 credit by what amount is the revenue account in error?

### Answers

**Answer: Multiple Choice $15 understated. $135 overstated. $135 understated. $150 understated. $150 overstated. 2.The numbering system used in a company's chart of accounts: Typically begins with income statement accounts.**

**Step-by-step explanation:**

Find the height of a triangle with an area (A) of 42 square inches and

base (b) of 7 inches. Use the formula for the area of a triangle,

588 inches

147 inches

3 inches

12 inches

### Answers

**Answer:**

147

**Step-by-step explanation:**

start by multiplying 42 and 7=294

now divide that by 1/2 =147

Type an integer or decimal rounded to the nearest tenth f(80)=1000(0.5)80/30

### Answers

The value of the **function **is 157.5

How to evaluate the function?

The **function **is given as:

f(80)=1000(0.5)^(80/30)

Evaluate the quotient

f(80)=1000(0.5)^(8/3)

Evaluate the exponent

f(80)=1000 * 0.15749013123

Evaluate the product

f(80) = 157.49013123

Approximate

f(80) = 157.5

Hence, the value of the **function **is 157.5

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Helppppppp pleaseeeee

### Answers

**Answer:**

is it asking how many times u would get then number 5 when u roll or asking how you would expect for the first 5 rolls?

BRAINLIEST!!!!!!!!!!!!!!!!!!!!!

### Answers

**Answer:**

Move all the points on the graph two points to the right

**Step-by-step explanation:**

f(x-2) is just a translation to the right by 2. The whole formula is typically y = a f(b(x + c)) + d. In this case, the C value is the one being changed and that indicates a translation left or right. -2 indicates 2 to the right.

Answer:

The Slope: 0

The y-intercept: (0,0_

x y

0 0

1 0 (there is supposed to be a line between the x and y that goes down all the way down the numbers but i cannot type that)

Step-by-step explanation:

Kelli swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 6 minutes. If the river flows at 5 km/hr, how fast can Kelli swim in still water?

Choose the most logical value for the variable to represent.

Let x = .

3m = 15

9 + 15m = 12m – 1

3m = 18

9 + 6 – 15 = 15m – 12m

### Answers

By solving a system of equations, we conclude that Kelli's **speed on still water** is 6.1km/h

**How fast can Kelli swim in still water?**

Let's say that the **speed **of Kelli in still water is S. And we know that the speed of the river is 5km/h.

When she swims upstream, her **velocity **is:

(S - 5km/h)

When she swims downstream, her **velocity **is:

(S + 5km/h)

With the given information, we can write for a distance D:

(S - 5km/h)*1h = D

(S + 5km/h)*6min = D

First, let's rewrite 6 minutes into hours.

1 hour = 60min

6 min = 6/(60) hours = 0.1 hours

Then the **system of equations** that we need to solve is:

(S - 5km/h)*1h = D

(S + 5km/h)*0.1h = D

D is the same distance in both cases, then we can write:

(S - 5km/h)*1h = (S + 5km/h)*0.1h

Now we can solve this for S.

S*1h - 5km = S*0.1h + 0.5km

S*1h - S*0.1h = 5km + 0.5km

S*(0.9h) = 5.5km

S = 5.5km/0.9h = 6.1km/h

Kelli's **speed on still water** is 6.1km/h

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