Mathematics College

## Answers

**Answer 1**

**Answer: 0**

**Step-by-step explanation:**

[tex]125x^3 =0\\\\x^3 =0\\\\x=0[/tex]

## Related Questions

Find the z-scores for the two normally distributed random variables, measured using different units of length.

a) x = 22 in, where X comes from N (15, 2.5)

b) y = 55.88 cm, where Y comes from N (38.1, 6.35)

### Answers

Using the **normal distribution**, the **z-scores **are given as follows:

**a)** Z = 2.8.

**b)** Z = 2.8.

Normal Probability Distribution

The **z-score **of a** measure X** of a normally distributed variable with **mean **[tex]\mu[/tex] and **standard deviation** [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score **measures **how many standard deviations the measure is above or below the mean. Looking at the z-score table, the** p-value **associated with this z-score is found, which is the **percentile **of X.

Item **a**:

The **parameters **are:

[tex]\mu = 15, \sigma = 2.5[/tex]

Hence the** z-score** is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{22 - 15}{2.5}[/tex]

Z = 2.8.

Item **b**:

The **parameters **are:

[tex]\mu = 38.1, \sigma = 6.35[/tex]

Hence the** z-score** is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{55.88 - 38.1}{6.35}[/tex]

Z = 2.8.

More can be learned about the **normal distribution** at https://brainly.com/question/15181104

#SPJ1

Which point lies on the circle represented by the equation x² + (y-12)² = 25²?

A. (20.-3)

B. (-7,24)

c. (0.13)

D. (-25,-13)

### Answers

**Answer: B**

**Step-by-step explanation: Trust me bro**

3. Your new job requires you to calculate the material

costs for manufactured goods. One of goods you

manufacture is a fabric sample in the shape of a circle.

Given the formula A = πr^2, find the

area (A) of the fabric sample whose radius (r) is

7.6 x 10^7 m. Round your answer to the nearest thousandth. (Use 3.14 for π)

A= _____________ m^2

### Answers

The **area **of the **circular **manufactured good is given by:

[tex]A = 1.8146 \times 10^{16} \text{m}^2[/tex]

What is the area of a circle?

The area of a circle of** radius r **is:

[tex]A = \pi r^2[/tex].

In this problem, the **radius **in meters is:

[tex]r = 7.6 \times 10^7[/tex]

Hence the **area in m² **is:

[tex]A = \pi (7.6 \times 10^7)^2 = 181.46 \times 10^{14} = 1.8146 \times 10^{16} \text{m}^2[/tex]

More can be learned about the **area of a circle **at https://brainly.com/question/17326298

#SPJ1

that any pair of congruent triangles is similar True or false.

### Answers

**Answer:**

yes it's true no problem sir

false! not all congruent triangles will be similar

if x was 4, what is the value of 4x + 3

### Answers

**Answer:**

19

**Step-by-step explanation:**

4(4)+3

16+3=19

**Answer:**

19

**Step-by-step explanation:**

4x+3

4(4)+3

16+3

19

hope it helps

3x/2y=11 x+y/2=7 igualacion

Alguien me puede ayudar

### Answers

La **solución** del **sistema de ecuaciones** es igual a (x, y) = (308/47, 42/47).

¿Cómo resolver un sistema de ecuaciones linear por igualación?

Los **sistemas de ecuaciones** basadas en entidades algebraicas se resuelven mediante procedimientos algebraicos. Grosso modo, el método de resolución por **igualación** consiste en despejar una **variable** en dos **ecuaciones** del **sistema** para eliminarla y reducir el número de **ecuaciones** *lineales* y el número de **variables**.

A continuación, presentamos una aplicación del método de eliminación:

[tex]\frac{3\cdot x}{2\cdot y} = 11[/tex]

[tex]x = \frac{22\cdot y}{3}[/tex]

[tex]x + \frac{y}{2} = 7[/tex]

[tex]x = 7 - \frac{y}{2}[/tex]

[tex]\frac{22\cdot y}{3} = 7 - \frac{y}{2}[/tex]

[tex]\frac{47\cdot y}{6} = 7[/tex]

y = 42/47

[tex]x = 7 - \frac{y}{2}[/tex]

x = 308/47

La **solución** del **sistema de ecuaciones** es igual a (x, y) = (308/47, 42/47).

Para aprender más sobre los **sistemas de ecuaciones**: https://brainly.com/question/15811265

#SPJ1

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

### Answers

**Answer:**

B.) (1, -5)

Given, **equation:**

[tex]\sf \dfrac{(x-1)^2}{25} -\dfrac{(y+5)^2}{49} =1[/tex]

**Comparing **it with standard **formula **of **hyperbola:**

[tex]\sf \dfrac{(x-h)^2}{a^2} -\dfrac{(y-k)^2}{b^2} =1[/tex]

where (h, k) is center

The **given **equation **in **standard form:

[tex]\sf \dfrac{(x-1)^2}{5^2} -\dfrac{(y-(-5))^2}{7^2} =1[/tex]

**Determined:**

(h, k) = (1, -5)

a = 5, b = 7

So, here **(1, -5)** is the **center **of the given hyperbola.

Factor the greatest common binomial factor from each polynomial

### Answers

Answer:

(5x-1)(6x^2+1)

Solution:

6x^2(5x-1)+5x-1

=30x^3-6x^2+5x-1

=(30x^3-6x^2) + (5x-1)

=6x^2(5x-1)+(5x-1)

=(5x-1)(6x^2+1)

HOPE THIS HELPS!

What is the probability of flipping a coin once and getting heads if you have gotten 5 tails in a row before that?

a. 1/32

b. 1/5

c. 1/4

d. 1/2

### Answers

**Answer:**

Answer is..... D

**Step-by-step explanation:**

every single flipping may two results, head or tail.So last one has equal chance.

Lindsay is checking out books at the library, and she is primarily interested in mysteries and nonfiction. She has narrowed her selections down to six mysteries and nine nonfiction books. If she randomly chooses three books from her selections, what’s the probability that they will all be nonfiction? Enter a fraction or round your answer to 4 decimal places, if necessary.

Please explain in detail

### Answers

The **probability **that all 3 books would be **nonfiction **is **0.1846.**

What is the probability?

**Probability** determines the chances that an event would happen. The **probability** the event occurs is 1 and the probability that the event does not occur is 0.

The **probability **that all 3 books would be **nonfiction **= (number of non fiction books / total number of books) x (number of non fiction books - 1 / total number of books - 1) x (number of non fiction books - 2 / total number of books - 2)

9 /15 x 8/14 x 7/13 = **0.1846**

To learn more about** probability,** please check: https://brainly.com/question/13234031

#SPJ1

HELP !! anyone please i need this done in less than in hour JUST ANSWERS WILL DO

### Answers

Answer:

Step-by-step explanation:

The scatterplot to the left shows the cost, CCC, in thousands of dollars, and living space, xxx, in square feet (\text{ft}^2)(ft

2

)left parenthesis, start text, f, t, end text, squared, right parenthesis for several houses in a certain neighborhood. According to the data, which of the following best approximates the cost for an additional square foot of living space for homes in this neighborhood?

Choose 1 answer:

\$80$80dollar sign, 80

\$300$300dollar sign, 300

\$1{,}000$1,000dollar sign, 1, comma, 000

\$13{,}000$13,000dollar sign, 13, comma, 000

### Answers

According to the **data**, the **cost **of this house would **increase** by 0.08 thousand dollars (**$80**) for each additional square foot of **living space**.

How to determine the cost for an additional square foot?

By critically observing the **scatter plot**, we can logically deduce that it shows a **linear** trend. Thus, the **slope** of the **line** of best fit is given by a **ratio** of change in **cost** to the change in **living space**.

Next, we would **approximate** two points on the **line** of best fit and then find the **slope** as follows:

Slope, m = ΔC/Δx

Slope, m = (C₂ - C₁)/(x₂ - x₁)

Slope, m = (400 - 200)/(4000 - 1500)

**Slope, m **=** 0.08**.

Therefore, the **cost **of this house would **increase** by approximately 0.08 thousand dollars (**$80**) for each additional square foot of **living space**.

Read more on **scatterplot** here: brainly.com/question/6592115

#SPJ1

Follow the instructions below to show two different ways of filling a square that has sided of length a + b with triangles and squared without gaps or overlaps.

### Answers

The proofing for the **triangle** is illustrated below.

How to illustrate the information?

The proofing for a² + b² = c² in the **triangle** is illustrated.

It should be noted that the longest side in the triangle is the **hypothenuse**. The hypothenuse is gotten by finding the square root of the opposite and the **adjacent**.

Therefore, a² + b² = c²

Let's say a = 3 and b = 4, the **value** of c will be:

c² = a² + b²

c² = 3² + 4²

c² = 9 + 16

c² = 25

c = ✓25

c = 5

Also, the **square** and **triangle** is illustrated and attached.

Learn more about **triangles** on:

brainly.com/question/1058720

#SPJ1

If f(x) =2×²+2 and g(x) =x² -1, find (f-g) (x)

### Answers

**Answer:**

[tex]\boxed {(f-g)(x) = x^{2}+3}[/tex]

**Step-by-step explanation:**

Given :

f(x) = 2x² + 2g(x) = x² - 1

Now, this problem can be used using a simple formula.

[tex]\fbox {(f - g)(x) = f(x) - g(x)}[/tex]

Let's solve.

(f - g)(x) = 2x² + 2 - (x² - 1)(f - g)(x) = 2x² - x² + 2 + 1(f - g)(x) = **x² + 3**

**∴ The answer will be x² + 3.**

will give brainliest!!

### Answers

**Answer:**

[tex]\huge\boxed{\sf n = 49}[/tex]

**Step-by-step explanation:**

Given expression:

[tex]x^2-14x+n[/tex] ---------------(1)

We need to solve it using the **following formula**:

[tex]a^2-2ab+b^2=(a-b)^2[/tex]

Writing the **middle term** in the expression as **2ab**

[tex](x)^2-2(x)(7)+n[/tex]

Form the expression, we come to now that

**b = 7**

So, the we can write **the expression** as:

[tex](x)^2-2(x)(7)+(7)^2\\\\x^2-14n+49[/tex]

Comparing** expression (1) with the above expression**, we get:

**n = 49**

[tex]\rule[225]{225}{2}[/tex]

I need help on this question please help me

### Answers

The **expression **that shows the **best use **of the **associative **and **commutative **properties is [tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]. The correct option is **C.** [tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]

Associative and Commutative properties

From the question, we are to determine the **expression **that shows the best use of the **associative **and **commutative properties**

The given expression is

[tex]\frac{3}{4}-5+9 -\frac{2}{4}+2[/tex]

To easier **simplify **the expression, we can **group **the **fractions **together and **group **the** whole numbers** together

That is,

[tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]

Hence, the **expression **that shows the **best use **of the **associative **and **commutative **properties is [tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]. The correct option is **C.** [tex][\frac{3}{4}+(-\frac{2}{4})]+[9 +2+(-5)][/tex]

Learn more on **Associative and commutative properties **here: https://brainly.com/question/491384

#SPJ1

Please Help Brainliest

### Answers

Using the **z-distribution,** the **p-value **would be of:

**b)** 0.0086.

What are the hypothesis tested?

At the **null **hypothesis we test if the means are equal, equivalent to a subtraction of 0, hence:

[tex]H_0: \mu_D - \mu_C = 0[/tex]

At the **alternative **hypothesis, we test if they are different, hence:

[tex]H_1: \mu_D - \mu_C \neq 0[/tex]

What are the mean and the standard error for the distribution of differences?

For **each sample**, they are given as follows:

[tex]\mu_D = 12, s_D = \frac{5.2}{\sqrt{73}} = 0.6086[/tex].[tex]\mu_C = 14, s_C = \frac{4.1}{\sqrt{81}} = 0.4556[/tex].

For the **distribution of differences**, it is given by:

[tex]\overline{x} = \mu_D - \mu_C = 12 - 14 = -2[/tex].[tex]s = \sqrt{s_D^2 + s_C^2} = \sqrt{0.6086^2 + 0.4556^2} = 0.76[/tex]

What is the test statistic?

The test statistic is **given **by:

[tex]z = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{\overline{x} - \mu}{s}[/tex]

z = -2/0.76

z = -2.63.

Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the **p-value is of 0.0086**.

More can be learned about the** z-distribution** at https://brainly.com/question/16313918

#SPJ1

What is the measure of arc RT

### Answers

The **measure **of arc RT is **156 degree.**

Measure of arc RT

Given:

arc TRM=102°

Hence:

arc RST=2×1O2°

arc RST=204°

Measure of** arc RT**

arc RT= 2(180° - 102°)

arc RT = 2(78°)

arc RT =** 156 degrees**

Therefore the correct option is **B.**

Learn more about** Measure of arc RT** here:https://brainly.com/question/17055073

#SPJ1

Marco has joined a bowling league, and is trying to raise his average to 130. On his last four games he scored 128, 127, 123, and 122. How much will he need to score on the next game to raise his mean to 130?

### Answers

The **score **Macro needs in his next game to have a **mean **of 130 is **150.**

What should be the next score?

**Mean** is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

**Mean** = sum of the numbers / total number

130 = (128 + 127 + 123 + 122 + x) / 5

Where x represents the fifth score

130 = (500 + x) / 5

130 x 5 = 500 + x

650 = 500 + x

650 - 500 = x

x = **150**

To learn more about** mean,** please check: https://brainly.com/question/25842202

#SPJ1

The graph of a quartic function crosses the x-axis at -4 and -2 and touches it at 3. State the equation for the family.

### Answers

The equation of the *quartic* **function** is f(x) = x⁴ - 18 · x² + 6 · x + 72.

How to find the possible equations for a quartic polynomial that passes through the x-axis at three points

Herein we must construct at least a **polynomial** that satisfies all conditions described in the statement. According to the **fundamental theorem of algebra**, *quartic* **functions** may have no *real* **roots**, two *real* **roots** or four *real* **roots**, which means that one of the **roots** must have a **multiplicity** of 2.

The root with a multiplicity of 2 is x = 3 and both x = - 4 and x = - 2 have only a multiplicity of 1, then we have the following expression by using the *factor* **form** of the definition of **polynomials**:

f(x) = (x - 3)² · (x + 4) · (x + 2)

Now we expand the expression to get the *standard* **form**:

f(x) = (x² - 6 · x + 9) · (x² + 6 · x + 8)

f(x) = x⁴ - 6 · x³ + 9 · x² + 6 · x³ - 36 · x² + 54 · x + 8 · x² - 48 · x + 72

f(x) = x⁴ - 18 · x² + 6 · x + 72

To learn more on **quartic functions**: https://brainly.com/question/25285042

#SPJ1

Christine is putting money into a savings account. She starts with $650 in the savings account, and each week she adds $60. Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Christine has been adding money. Write an equation relating S to W. Then use this equation to find the total amount of money in the savings account after 11 weeks.

### Answers

Total amount of money in the savings account after 11 weeks is **$1310.**

Total money in the account =

Initial Money + Money added per week x Number of weeks

Given:

Initial Money = $650

Money added per week = $60

Total money in the account = S

Number of weeks = W

Substituting it in the above equation we get,

**S = $650 + $60xW ** (General Equation)

Total amount of money in the savings account after 11 weeks

S =** **$650 + $60x11

S = $650 + $660

S = $1310

Thus total amount of money in the savings account after 11 weeks is **$1310.**

Learn more about **Linear Equations** here :

https://brainly.com/question/2263981

#SPJ1

You are buying a house and you are financing the purchase with a mortgage of $130,000. The mortgage has a 30 year term and requires monthly payments. The mortgage charges an interest rate of 0.3% every month. What is the total interest payment over the life of the mortgage?

### Answers

**Answer:**

130,000 -:- by 30 x 0.3 x 12 = 15,600.

**Step-by-step explanation:**

(I hope its right, Im not good at math)

If

C(x) = 12000 + 400x − 2.6x2 + 0.004x3

is the cost function and

p(x) = 1600 − 8x

is the demand function, find the production level that will maximize profit. (Hint: If the profit is maximized, then the marginal revenue equals the marginal cost.)

### Answers

Since **profit **can't be negative, the production level that'll **maximize profit** is approximately equal to **220**.

How to find the production level that'll maximize profit?

The **cost function**, C(x) is given by 12000 + 400x − 2.6x² + 0.004x³ while the **demand function**, P(x) is given by 1600 − 8x.

Next, we would differentiate the **cost function**, C(x) to derive the **marginal cost**:

C(x) = 12000 + 400x − 2.6x² + 0.004x³

C'(x) = 400 − 5.2x + 0.012x².

Also, revenue, R(x) = x × P(x)

Revenue, R(x) = x(1600 − 8x)

Revenue, R(x) = 1600x − 8x²

Next, we would differentiate the **revenue function** to derive the **marginal revenue**:

R'(x) = 1600 - 8x

At maximum profit, the **marginal revenue** is equal to the **marginal cost**:

1600 - 8x = 400 − 5.2x + 0.012x

1600 - 8x - 400 + 5.2x - 0.012x² = 0

1200 - 2.8x - 0.012x² = 0

0.012x² + 2.8x - 1200 = 0

Solving by using the quadratic equation, we have:

x = 220.40 or x = -453.73.

Since **profit **can't be negative, the production level that'll **maximize profit** is approximately equal to **220**.

Read more on **maximized profit **here: https://brainly.com/question/13800671

#SPJ1

Savings account at a bank pays 5% simple interest in account at Bank B pays 2% compounded interest the table shows the balance in each account after an initial deposit of $1000 which describes the balance after a long period of time

### Answers

**Answer:**

The balance in Bank B will be greater.

**Step-by-step explanation:**

Because simple interest is just interest on the principle only which is 50 every year doesn't change but with compound interest you will get 2% Interest every year. principle+interest

Charlotte owns two entertainment websites. Here are some details about those

websites for one entire month:

Number of writers

Number of posts posted

Average number of words of post

Average likes per post

Average comments per post

Number of new subscribers

Revenue

Expenses

Profit (Revenue-Expenses)

Website A Website B

5

11

110

200

100

170

3500

450

20,000

$75,000

$47,000

$28,000

3500

500

9000

$30,000

$20,000

$10,000

Charlotte wants to know which website produces a larger amount of content per a

single writer.

1) Charlotte thought of two different ways to define this quantity, Identify these two

definitions among the following options.

4 of 4

### Answers

In order to define the **quantity **of which of the** two website produces **a **larger amount **of **content **per** single writer,** **Charlotte **thought of:

A Average number of posts per writer C Average number of words per writer

How can Charlotte define the quantity?

**Charlotte** wants to know which website has more content per writer which means that she wants to know which **website **is more **productive **with writing.

One way she can do this is to check the **average **number of **posts **per writer per **website**. This would show her which website has a writer that writes more content on average.

Charlotte could also use **average number **of words per **writer**. This shows just how much writing the writers in each websites are doing, in terms of words. The website with the higher average words per writer is therefore providing more content.

**Options **for this **question **include:

A Average number of posts per writerB Total number of wordsC Average number of words per writerD Average number of likes per word

Find out more on using **averages as decision tools** at https://brainly.com/question/17004212.

#SPJ1

Geometry Question!! PLEASE HELp

### Answers

The **difference** between the **distance** travelled by any point on the record and it's label is; **2****7****.****5****7****c****m****.**

What is the difference between the distance travelled in each case?

According to the task content, it follows from observation that the **quantity** required is the difference between the **circumference** in each case and can be evaluated as follows;

Difference = π(17.78 - 9)

Difference = (22/7) × 8.78

Difference = **27.57cm**.

Read more on **circumference**;

https://brainly.com/question/20489969

#SPJ1

help me pls: what is

four and two eighths minus two and five eighths equals

### Answers

**Answer:**

13/8

**Step-by-step explanation:**

4 2/8 - 2 5/8

34/8 - 21/8 = 13/8

1 5/8 as a mixed fraction

Draw the graph of changing length of shadow of a stick from 12pm to 5pm.

### Answers

The graph of changing length of shadow of a stick from 12pm to 5pm shows that** length of shadow increases.**

When an object (like the stick in the cartoon) blocks some of the Sun's light, it casts a** shadow**. The shadow always points** away from the Sun**. How long the shadow is depends on how low or high the Sun is in the sky. If the Sun is low, we see a longer shadow. Is the Sun is high, we see a shorter shadow.

Length of shadow due to the Sun's light is **smallest** when the Sun is vertically above. This happens at 12 noon.

Thus the graph of changing length of shadow of a stick from 12pm to 5pm shows that** length of shadow increases.**

Learn more about **Length of Shadow** here :

https://brainly.com/question/21352484

#SPJ1

An 8ft length of 4 inch wide crown molding cost $13. How much it cost to buy 88ft of crow molding

### Answers

The **amount** it **costs** to buy **88ft** of crow molding is; **$143**.

How much does it cost to buy 88ft if crow molding?

It follows from the task content that the cost for **8ft length** of a specific **width** crown molding is; **$13**.

On this note, it follows that the **cost** of **buying** **88ft** of the same kind of crow **molding** can be estimated as;

88 × ($13/8)

= **$143**.

Therefore, the **cost** of **88ft** of crow molding is**; $143**.

Read more on **proportions**;

https://brainly.com/question/1496357

#SPJ1

A rock is dropped from a height of 100 feet. Calculate the time between when the rock was dropped and when it landed. If we choose "down" as positive and ignore air friction, the function is h (t) = 36t2 - 64

t= 3.56 seconds

t= 1.78 seconds

t= 1.33 seconds

t= 8 seconds

### Answers

The **time **it takes between when the rock was dropped and when it landed is **1.33 seconds.**

What is the time it takes for the rock to land?

The **time **it takes the rock to land on the ground from where it is dropped can be determined by using the **function **given.

The **height **of the function when it hits the ground will be zero, so the function can be written as:

[tex]\mathbf{h(t) =36t^2 -64}[/tex]

[tex]\mathbf{0 =36t^2 -64}[/tex]

64 = 36t²

[tex]\mathbf{t^2 = \dfrac{64}{36}}[/tex]

t² =1.778

[tex]t = \sqrt{1.778}[/tex]

**t = 1.333 seconds**

Learn more about calculating the **time **of a **function **here:

https://brainly.com/question/26898697

#SPJ1