**Answer:**

32 in²

**Step-by-step explanation:**

A= ((a+b)/2)*h

A= ((6+10)/2)*4

A=32

Select the correct answer. Consider the following equation. − 16 p + 37 = 49 − 21 p Select the equation that has the same solution as the given equation. A. − 55 + 12 p = 5 p + 16 B. − 14 + 6 p = − 9 − 6 p C. 2 + 1.25 p = − 3.75 p + 10 D. 3 2 p − 5 + 9 4 p = 7 − 5 4 p

The **equation **that has the same **solution **as − 16 p + 37 = 49 − 21 p is (3/2)p - 5 + (9/4)p = 7 - (5/4)p thus option (C) is correct.

There are many different ways** **to define an equation. The definition of an equation in algebra is a **mathematical statement **that demonstrates the equality of 2 mathematical expressions.

More than one variable may be **present **inside a linear equation.

As per the given **equation**,

− 16 p + 37 = 49 − 21 p

-16p + 21p = 49 - 37

5p = 12

p = 12/5 = 2.4

In the equation,(3/2)p - 5 + (9/4)p = 7 - (5/4)p

(3/2)p + (9/4)p + (5/4)p = 7 + 5

5p = 12

p = 2.4

Hence "The equation (3/2)p - 5 + (9/4)p = 7 - (5/4)p has the same **solution **as − 16 p + 37 = 49 − 21 p ".

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Twice last month, Judy Carter rented a car from a car rental company and traveled around the Southwest on business. The company rents its car for a daily fee, plus an additional

charge per mile driven. Judy recalls that her first trip lasted 4 days, she drove 450 miles, and the rental cost her $222.00. On her second business trip she drove 200 miles in 3 days, and

paid $139.00 for the rental. Find the daily fee, and find the mileage charge.

Daily fee is $, and the mileage charge is $.

**Answer:**

Daily fee is $13.75, and the mileage charge is $0.37.

1. Find the slope of a line that passes through (3,-5) and (6,-6)

m=____

2. y=7 x+2

m=___

5. Find the slope of a line that passes through ( 4.5, 3.5) and (9.5, 5.5)

m=_____

6. y=-3 x-4

m=_____

The **slope** the** **lines in the given **functions** are -1/3, 7, 0.4 and -3

The is the ratio of the rise to run of the graph or the ratio of change in y- coordinate to the change in the x-coordinate.

The formula of slope is given as;

m = y₂ - y₁ / x₂ - x₁

1)

The points are

A = (3, -5)B = (6, -6)Applying the formula of **slope** of a line

m = -6 - (-5) / 6 - 3)

m = -6 + 5 / 3

m = -1/3

slope is - 1/3

2) The equation 7x + 2 is a linear equation which is modeled as y = mx + c

where m is the** slope **and c is the **y - intercept**

The slope of the linear equation y = 7x + 2 is 7

slope is 7

5) Using the formula of **slope **of a line

m = y₂ - y₁ / x₂ - x₁

m = 5.5 - 3.5 / 9.5 - 4.5

m = 0.4

Slope is 0.4

6) The** linear function** y = -3x - 4

Comparing the function with y = mx + c

The slope is -3

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NO LINKS!! Find the sum of the infinite geometric series:

-125/36 + 25/6 - 5 + 6 - . . .

**Answer:**

[tex]S_{\infty}=-\dfrac{625}{396}[/tex]

**Step-by-step explanation:**

[tex]\boxed{\begin{minipage}{5.5 cm}\underline{Sum of an infinite geometric series}\\\\$S_{\infty}=\dfrac{a}{1-r}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}[/tex]

Given **geometric series**:

[tex]-\dfrac{125}{36}+\dfrac{25}{6}-5+6-...[/tex]

To find the **common ratio**, divide a term by the previous term:

[tex]\implies r=\dfrac{a_4}{a_3}=-\dfrac{6}{5}[/tex]

**Substitute **the found **common ratio** and given **first term **into the **sum formula**:

[tex]\implies S_{\infty}=\dfrac{-\frac{125}{36}}{1-\left(-\frac{6}{5}\right)}[/tex]

[tex]\implies S_{\infty}=\dfrac{-\frac{125}{36}}{1+\frac{6}{5}}[/tex]

[tex]\implies S_{\infty}=\dfrac{-\frac{125}{36}}{\frac{11}{5}}[/tex]

[tex]\implies S_{\infty}=-\dfrac{125}{36} \times\dfrac{5}{11}[/tex]

[tex]\implies S_{\infty}=-\dfrac{625}{396}[/tex]

Which expression is equal to 7 + 6X5-2?

A) 13X5-2

B) 7+11-2

C) 13 X 3

D) 37-2

**Answer:**

So, in the expression 7 + 6X5-2, we must first multiply 6 and 5, which gives 30. Then we must add 7 and 30, which gives 37. Finally, we must subtract 2 from 37, which gives a final score of 35.

Therefore, the expression 7 + 6X5-2 is equal to 37-2. The correct answer is D) 37-2.

The correct answer is D) 37-2

What is the y/x ratio?

the ratio of is x: yin reverse

A room in an attic has a sloping wall that makes an angle of 55° with the floor, which is parallel to the ceiling.

What is the measure of an angle that forms a pair of same-side interior angles with that angle?

The measure of an angle that forms a pair of same-side interior angles with that angle will be 55 degrees

what is Same side interior angles?

Given the following parameters from the question;

sloping angle = 55 degrees

Since the room is parallel to the ceiling, the measure of an angle that forms a pair of same-side interior angles with that angle will be equal to the sloping angle.

Hence the required measure will be 55 degrees

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what is Same side interior angles?

Given the following parameters from the question;

sloping angle = 55 degrees

Since the room is parallel to the ceiling, the measure of an angle that forms a pair of same-side interior angles with that angle will be equal to the sloping angle.

Hence the required measure will be 55 degrees

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The product of a number and 3 less than the number is 18. Find the number

**Answer: **n = 6 or n = -3

**Step-by-step explanation:**

n(n-3)=18

n^2 - 3n = 18

n^2 - 3n - 18 = 0

n = 6 or n = -3

Write an equation of the line below.

**Answer: Recommended to simplify to y=1/4x+3**

** y=2/8x+3**

***Note slope may need to be simplified to (1/4 depends)**

**Step-by-step explanation: Formula y=mx+b**

Slope m=2/8 >>>>simplify to 1/4 up 1 over 4 (the x goes beside this)

Look on y-axis count up to the dot y=3

32.68-4.15q

a. for q = 0

b. for q = 10

c. for q = -3

a. The** value** of 32.68-4.15q when q = 0 is 32.68.

b. The value of 32.68-4.15q when q = 10 is -8.82

c. The value of 32.68-4.15q when q = -3 is 45.13.

**What is an expression?**

Unknown **variables**, integers, and **arithmetic operators** are the components of an algebraic expression. There are no symbols for equality or inequality in it.

Given **expression** is 32.68-4.15q

Putting q = 0 in the given expression:

32.68-4.15 × 0

= 32.68

Putting q = 10 in the given expression:

32.68-4.15 × 10

=32.68 - 41.5

=-8.82

Putting q = -3 in the given expression:

32.68 - 4.15 × (-3)

=32.68 +12.45

=45.13

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To compare the means of three samples -- perhaps three experimental treatments -- we should use this test:

A. Pooled variance t-test assuming equal variance.

B. Separate variance t-test assuming unequal variance.

C. Z-test of difference of means.

D. Analysis of variance

The correct answer is **D**.** Analysis of variance (ANOVA)**. To compare the means of **three **samples -- perhaps three **experimental **treatments -- we should use **ANOVA** Test.

ANOVA is a **statistical test **that is used to compare the means of two or more samples. It can be used to determine whether there is a significant difference between the means of the samples, and to identify which samples are **significantly** different from one another.

A pooled variance** t-test** is a statistical test that is used to compare the means of two samples, assuming that the variances of the two samples are **equal**. This test is not suitable for comparing the means of three or more samples.

A separate** variance** t-test is a statistical test that is used to compare the means of two samples, assuming that the variances of the two samples are not equal. This test is also not suitable for comparing the means of three or more **samples**.

A **z-test** of difference of means is a statistical test that is used to compare the means of two **independent **samples. It is not suitable for comparing the means of three or more samples.

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Find the missing fraction

_+ 1/16=3/2

**Answer:**

23/16?

**Step-by-step explanation:**

23/16 + 1/16 = 3/2

Weston Inc. just agreed to pay £19632 today, £19827 in one year later, £32464 in two years later to a landlord to explore for, but not extract valuable materials. If the landlord invests the money at a rate of 5.81% compounded annually, what is the investment worth two years from today?

Your deposit must be returned by the landlord within 30 days, less any sum subtracted for **damages**.

To maximize their earnings, landlords set the rent on rental properties at market rates. Should they... Your reported income plays a big part in how much rent you will have to pay.

3% of the existing rent or the local **Consumer Price Index** (CPI), whichever is higher, is the maximum increase in rent that the landlord is permitted to make once every 12 months. The requirements of California Tenant Protection Act (AB1482) are expressly applicable to rent hikes.

A renter may be evicted even without a lease. Considering that there isn't a lease or **rental agreement**, a landlord or property management is free to evict a renter for any reason. The sole need under law would be that the renter being evicted receive a formal notice before being removed.

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URGENT!! ILL GIVE BRAINLIEST!!!! AND 100 POINTS!!!

**Answer: b includes only rational numbers**

**Step-by-step explanation:**

A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p, and a non-zero denominator q. For example, −3/7 is a rational number, as is every integer.

b.

Are there any circles for which the relationship between the diameter and the circumference cannot be represented by π? explain

Well, the **diameter** and **circumference** scale perfectly. Therefore, the ratio will remain the same regardless of how big or tiny the circle is. For all circles, **circumference** is equal to x **diameter**. There are no exceptions because this is the definition of.

**Give an example of diameter.**

If you look at the cycle wheel, the spikes that run through the center from one end to the other are an illustration of **diameter**. This is comparable to a circle's **diameter**, which is a line segment that extends from one end of the circle to the other end while passing through the center.

**What is a circle's circumference?**

A circle's **diameter** is multiplied by to determine its **circumference** (pi). You can also determine the **circumference** by multiplying 2radius by pi (=3.14).

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Choose answers that describe the quadrilateral STUV if ST|| UV,TU||VS

and diagonals are congruent: SU≅TV

Parallelogram

Triangle

Rhombus

Square

Trapezoid

By using properties of **quadrilateral**, it can be concluded that-

**Square **describes the **quadrilateral** STUV

**What is a quadrilateral?**

**Quadrilateral** is a** two dimensional four sided figure**.

Here the properties of **quadrilateral **STUV is

Pair of opposite** sides **are parallel

**Diagonals **are congruent.

In a **parallelogram**, the pair of** opposite sides** are **parallel **but **diagonals **are not congruent

**Triangle **is not a **quadrilateral**

In **Rhombus**, the pair of **opposite sides **are **parallel **but the **diagonals **are not **congruent**

In **square**, the pair of **opposite sides **are **parallel **and the **diagonals **are **congruent**

In **Trapezoid**, one pair of** opposite sides** are **parallel **and one pair of **opposite sides** are **non parallel.**

So **Square **describes the** quadrilateral **STUV

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Evaluate the expression when y=6 and x=9.

5y-x

**Answer:**

**2****1**

**Step-by-step explanation:**

y=6 and x=9.

**5****y**** ****–**** ****x**

**=**** **5(6) – 9

= 30 – 9

= 21

i hope this helped

The correct answer is 29. You multiply 5 times 6 and subtract by 9. Follow the PEMDAS rules.

100 POINTS PLEASE HELP!!!1

use the compound interest formula A=P(1+r/n)^nt to solve. Round to two decimal places

find the accumulated value of an investment of $4,000 at 5% compounded semiannually for 8 years

a.$4,873.61

b.$5,600.00

c.$5,909.82

d.$5,938.02

The **accumulated value **of an **investment **of $4,000 at 5% compounded semiannually for 8 years is $5,938.02.

When you **add **the **interest **you have already **earned** **back **into your **principal **balance, you are earning **compound** **interest**, which increases your profits.

Compound interest, also known as **interest **on **principal **and interest, is the **practise** of **adding interest **to the **principal **amount of a loan or deposit.

Given:

**Investment **amount= $4000

**Rate **of **Interest**, R= 5%

**Time**= 8 years semiannually

So, r = R/100

r = 5/100

r = 0.05 rate per year,

Then **solve **the **equation **for A

A = P[tex](1 + r/n)^{nt[/tex]

A = 4,000.00[tex](1 + 0.05/2)^{(2)(8)[/tex]

A = 4,000.00[tex](1 + 0.025)^{(16)[/tex]

A = $5,938.02

Hence, the **accumulated** **value** of an **investment** is $5,938.02.

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Question 3 Write a method that solves for x in the quadratic equation. The parameters are a, b, c, and boolean flag that indicates whether it will solve the equation with addition or subtraction in the numerator. 2-4ac ㄨㄧ- 2a Source: Wikipedia The method will return the value of x

On solving the providewd question we can say that, public static double solve(double a, double b, double c, **boolean flag **)

A **quadratic equation** is a quadratic polynomial in one variable that looks like this: x = ax2 + bx + c. a 0. This **polynomial** has at least one solution since it is a second-order polynomial, according to the Fundamental Theorem of Algebra. The answer can actually work or be difficult.

public static double solve(double a, double b, double c, boolean flag)

{ double d = Math.sqrt(b*b - 4*a*c); if(flag)

{ return (-b + d) / (2*a); }

else { return (-b - d) / (2*a); } }

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the amounts of time employees of a telecommunications company have worked for the company are normally distributed with a mean of 5.4 years and a standard deviation of 2.1 years. random samples of size 12 are drawn from the population and the mean of each sample is determined.

O 5.4 years, 0.48 years O 5.4 years, 0.10 years O 1.18 years, 2.2 years

O 1.18 years, 0.48 years

Using **statistics **we know that the mean value is 5.6 years, and the standard error is 0.4478.

The gathering, characterization, analysis, and drawing of inferences from quantitative data are all tasks that fall under the purview of statistics, a subfield of applied mathematics.

Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics.

So, we have:

μ = 5.6

σ = 1.9

n = 18

Figuring out each sample's mean:

Therefore, the population means itself serves as the best estimator of the sample mean.

μₓ = μ = 5.6

The sample mean is 5.6 years as a result.

Estimating the **standard deviation:**

By using the formula:

Standard error = σ/√n

Given that the samples are of size n = 18 and the standard deviation is = 1.9:

Standard error = 1.9/√18 = 0.4478

Therefore, using statistics we know that the mean value is 5.6 years, and the standard error is 0.4478.

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**Complete question:**The amount of time employees of a telecommunications company have worked for the company is normally distributed with a mean of 5.6 years and a standard deviation of 1.9 years. Random samples of size 18 are drawn from the population and the mean of each sample is determined. Find the mean and the standard error.

What is the volume of this figure?

The **Volume** of the given **figure **is **264 cubic units**

**What is Volume?**

**Volume **is a **measurement** of** three-dimensional space **that is occupied. It is frequently mathematically quantified using SI-derived units or different imperial or US customary units. The concept of length is linked to the definition of volume.

Solution:

**Volume of Cuboid = Length * Breadth * Height**

**Volume **of Cuboid 1 = 8*5*5 = 200 cubic units

**Volume** of Cuboid 2 = 8*8*1 = 64 cubic units

**Total Volume** = 200 + 64 = **264 cubic units**

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A rectangle is split into four triangle as shown. What is the area of shade triangle?

**Answer:**

First of all u need to find the rectangle area then subtract the area of three triangles.

step1 : 3×4=12

step2: 1×4/2 + 2×3/2 + 3×1/2 = 6.5

Answer = 12 - 6.5 = **5.5**

Find the multiplicative inverse of −1/2.

**Answer:**

2

**Step-by-step explanation:**

To determine the multiplicative inverse of a number, we use the following rule: The multiplicative inverse of a number a/b is b/a.

Using - your favorite statistics software package, you generate scatter plot which displays a linear form You find regression equation and the standard deviation for both variablesThe standard deviation for X is 1.34, and the standard deviation for y is 3.6. The regression equation is reported 4 1.891 What fraction of the variation in y can be explained by the variation in the values of x? (

The **regression line** is yˆ = 4 + 1.891x , the coefficient of determination of two variables or the **fraction** of the **variation** in y that can be explained by the variation in the values of x is 0.51..

Here the fitted regression equation of y on x is

yˆ = 4 + 1.891x ---(*)

where, x --> **Independent variable**

yˆ --> predicted value of the dependent variable

Now, b₁ = **slope cofficient** = 1.891 ~ 1.91

(estimated from **least squares method**)

We have given that,

Standard deviations for X = 1.34 = sₓ say

**Standard deviations** for Y = 3.6 = sᵧ say

we know, b₁ = r₀( sₓ/sᵧ ) where ro is corr(X,Y)

=> 1.91 = r₀ (3.6/1.34)

=> 1.91×1.34/ 3.6 = r₀

=> r₀ = 0.71944

Defining, R² = cofficient of determination of two variables = **Proportion** of variation in Y , explained by the variation in the value of X, through the regression model.

= (r₀)² = (0.71944)² = 0.505442

R² = 0.505442 ~ 0.51 (in **two decimals**)

Hence, the cofficient of determination is 0.51..

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**Complete ****question****:**** **

Using your favorite statistics software package, you generate a scatter plot which displays a linear form. You find a regression equation and the standard deviation for both variables. The standard deviation for x is 1.34 , and the standard deviation for y is 3.6 . The regression equation is reported as y = 4 + 1.891x . What fraction of the variation in y can be explained by the variation in the values of x? (Enter your answer as a decimal between 1 and 2.)

Solve the following equation:

3x^2= -12

a.

X = 2

b. x=-2

C.

No real solutions

d.

X = ‡2

3x^2= -12

Divide each side by factors that do NOT contain the variable

This means X = +/- 2 (with imaginary number)

Determine the end behavior of the polynomial function.

f(x)= -2x^3 +3x^2 +2x -1

The **correct** option is (a)

As x ⇒ ∞, f(x) ⇒ -∞ and As x ⇒ -∞, f(x) ⇒ ∞.

What is** Polynomial function** ?

The terms poly and nomial combine to form the word polynomial. We can define polynomials as "**algebraic expressions **with many terms" because "poly" means many and "nomial" denotes the term.

Given : f(x)= -2x^3 +3x^2 +2x -1

In order to determine the **end behavior **of the polynomial **function**, we are required to check the highest degree of the polynomial and the coefficient of the term which has highest **degree**.

Here, The highest degree of the polynomial is 3 and the coefficient of the term which has highest **degree **is -2.

Since, the coefficient is negative, the graph will move right down which means as x ⇒ ∞, f(x) ⇒ -∞.

Similarly, the degree is **odd **which states that the sign will be opposite of what the coefficient has. So, As x ⇒ -∞, f(x) ⇒ ∞.

Hence, As x ⇒ ∞, f(x) ⇒ -∞ and As x ⇒ -∞, f(x) ⇒ ∞.

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The greatest common factor of 250 and 300 is?

**Answer:**

250 / 50 = 5

300 / 50 = 6

Therefore, the greatest common factor of 250 and 300 is 50.its also known as a number to be divided so you can get the lowest fraction**Step-by-step explanation:**

The greatest common **factor **of 250 and 300 is 50

The greatest **common **factor is the greatest factor that divides both numbers. To find the greatest **common **factor, first list the prime factors of each **number**.

Given here: The **numbers **as 250 and 350

Steps to find GCF

Find the prime **factorization **of 250

250 = 2 × 5 × 5 × 5

Find the prime **factorization **of 300

300 = 2 × 2 × 3 × 5 × 5

To find the GCF, multiply all the **prime **factors common to both numbers

Hence, GCF = 2 × 5 × 5 GCF = 50

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6and 3/4 divided by 1 and 1/18

**Answer:**

Your answer is 6.

**Step-by-step explanation:**

If this is correct can i get branilest? Hope this helps :)

Jamal spent 6 dollars on snow cones last week. Each snow cone costs s dollars. Choose the expression that shows how many snow cones Jamal bought.

The **expression **that represents the number of snow cones is 6/s.

An **algebraic expression** is an expression that is made up of** variables **and **constants** by operations like addition, subtraction, etc. We use Algebraic Expressions to find **unknown values** or numbers.

Here we have

Jamal spent 6 dollars on snow cones last week

Each snow cone costs s dollars

Let Jamal bought y snow cones

=> Cost of y cones = ys dollars

Given that Jamal spent 6 dollars

=> ys = 6

=> y = 6/s

Therefore,

The **expression **that represents the number of snow cones is 6/s.

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The population of a certain single-cell organism doubles every hour, starting with 100 cells. Which COULD be an equation to model th

situation, where f(t) is the number of organisms and t is time in hours?

**geometric progression** with common ratio** **2.

so, f(t) = 100 x [tex]2^t[/tex] be an equation to model the situation.

What is geometric progression ?A sort of sequence known asGiven :

starting with 100 cells.

a=100

r = 2

a certain single-cell organism doubles every hour

f(t) is the number of organisms and t is time in hours.

f(t) = 100 x [tex]2^t[/tex]

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Ok can someone tell me the answer to this. Is it ABC or D.
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A biologist was studying a certain species of earthworm. She collected samples of 6 adults from 2 different populations and measured their lengths in centimeters. The data are shown below.Sample 1: 26, 25, 27, 19, 24, 26Sample 2: 24, 23, 24, 26, 25, 25Compare the means and ranges of the data for the 2 samples. Use your comparison to conclude the samples. Show and explain your work.CAN YOU EXPLAIN WHY ALSO CAN YOU DO THIS AS SOON AS POSSIBLE PLEASE AND THANK YOU?
Using the periodic table, choose the more reactive nonmetal.Te or o
who was the founder of the protestant church left the catholic church?
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