**Answer;**

The coordiantes of the point Q is;

[tex](1,3)[/tex]**Explanation;**

Here, we want to get the coordinates of the other endpoint

Mathematically, we can find the midpoint of two endpoints using the formula below;

[tex](x,y)\text{ = (}\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)}{2})[/tex]The notation 1 and 2 represents the coordinates of the two end points

Now, by replacing the values given in the question, we have it that;

(x,y) is the coordinate of the point m which is (-2,1)

Now the first end point has the coordinates (-5,-1)

The second endpoint Q has the endpoint (x2,y2) which we want to calculate

We proceed to make the substitutions as follows;

[tex](-2,1)\text{ =}\frac{(-5+x_2)}{2},\frac{(-1+y_2)}{2}[/tex]We proceed to susbtitute the individual branches as follows;

[tex]\begin{gathered} -2\text{ = }\frac{-5+x_2}{2} \\ 2(-2)=-5+x_2 \\ -4=-5+x_2 \\ x_2=-4+5 \\ x_2\text{ = 1} \end{gathered}[/tex]Finally, we have;

[tex]\begin{gathered} 1=\frac{-1+y_2}{2} \\ 2(1)=-1+y_2 \\ 2+1=y_2 \\ y_2\text{ = }3 \end{gathered}[/tex]Is the ordered pair a solution of the equation? 4x+5y=-1; (1,-1) And 2x-3y=7; (8,-3)

The given equations are:

4x + 5y = - 1

2x - 3y = 7

For the ordered pairs to be a solution of the equation, the equation must be true when the points are substituted into the equation. That is, the right hand side must equal the left hand side.

**For 4x + 5y = -1**

To test if (1, -1) is a solution, substitute x = 1, and y = -1 into the equation.

4(1) + 5(-1) = -1

4 - 5 = -1 (True)

**Therefore, (1, -1) is a solution for the equation 4x + 5y = -1**

**For 2x - 3y = 7**

To test if (8, -3) is a solution, substitute x = 8, and y = -3 into the equation

2(8) - 3(-3) = 7

16 + 9 = 7 ( False)

**Therefore, (8, -3) is not a solution for 2x - 3y = 7**

A certain species of fish require 1.5 cubic feet of water per fish to maintain a healthy environment. Find the maximum number of fish you could put in a tank measuring 5 feet by 3 feet by 4 feet.

**Answer:**

40

**Step-by-step explanation:**

Given information:

1.5 ft³ = Volume of water required per fish.Dimensions of the tank = 5 ft × 3 ft × 4 ftModel the tank as a **rectangular prism**.

[tex]\begin{aligned}\textsf{Volume of a rectangular prism}&=\sf width \times length \times height\\\\\implies \textsf{Volume of tank}&=\sf 5 \; ft \times 3\; ft \times 4 \; ft\\& = \sf 15\;ft^2 \times 4\;ft\\& = \sf 60 \; ft^3\end{aligned}[/tex]

To find the **maximum **number of fish that can be put in the tank, **divide **the found **volume **of the tank by the given **volume **of water required per fish:

[tex]\begin{aligned}\textsf{Maximum number of fish}&=\textsf{Volume of tank} \div \textsf{Water per fish}\\& = \sf 60\;ft^3 \div 1.5 \; ft^3\\& = \sf 60 \div 1.5\\& = \sf 40\end{aligned}[/tex]

Therefore, the **maximum **number of fish that can be put in the tank is **40**.

The deer population in the united states can be predicted by the expression 523(1.099)^t where t is the number of years since 1990 . what does the value 523 represent?

Explanation:

The exponential growth or decay function is a function that grows or shrinks at a constant percent growth rate. The equation can be written in the following form:

[tex]f(x)=a(1+r)^x[/tex]or

[tex]f(x)=ab^x\text{ where b= 1+r}[/tex]here

a is the initial or starting value of the function or initial population.

r is the percent growth or decay rate, written as a decimal

and

b is the growth factor or growth multiplier.

Now, consider the following exponential model:

[tex]f(t)=523\left(1.099\right)^t[/tex]notice that in this case:

a = 523

according to the definition of exponential growth, we can conclude that the correct answer is:

Answer:523 is the initial population of deers.Determine the interval(s) for which the function shown below is decreasing.

When x **increases **the value of f(x) **decreases **called **decreasing **function thus the **interval **on which the **function **is decreasing is (-∞, -5] ∪ [-2, 2].

A certain kind of **relationship** called a function binds inputs to **essentially **one output.

The machine will only **accept** specified **inputs**, described as the function's **domain**, and will potentially produce **one output **for each input.

As per the given **graph** of a random **function**,

The value of f(x) **decreasing **when x is increasing is the **interval **on which we can say that **function **is decreasing.

If we look at the **extreme left **of the graph and come **towards **the **right** then the curve is going downward till x = -5.

Therefore, in **interval **(-∞, -5] function is **decreasing**.

The function is again going down in intervals [-2,2].

Therefore in **inteval** (-∞, -5] ∪ [-2, 2] the function is **decreasing**.

Hence "When x **increases **the value of f(x) **decreases **called **decreasing **function thus the **interval **on which the **function **is decreasing is (-∞, -5] ∪ [-2, 2]".

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The given question is incomplete complete question is attached below ;

What is the domain of the function shown in the graph below? y 10 OSCO 7 6 5 4 3 2 1 I 1 -10 -8 -9 -5 -4 -3 -2 1 2 3 4 8 ON 5 9 10 - 2 -3 -4 -5 -8 -9 10

The function is define for all values of x greater than or equal -3 and less than or equal 3

Hence the domain of the function is;

-3 ≤ x ≤ 3

Write an equation of the line passing through point P(3,8) that is parallel to the line y\ ={1}{5}(x+4) NEEP HELP ASAP

**Answer:**

**Step-by-step explanation:**

**Slope-intercept** form:

Given line has a slope of **m = 1/5**.

**Parallel lines have equal slopes**, so the line we are looking for is:

**Substitute **the coordinates and slope **and find b**:

The **line **is:

2. Calculate each surface area to the nearest tenth of a square centimetre ) r = 10 cm b) a) d=7 cm 30 cm 22 cm 3. bbelow 1

The formula to find the surface area of a cylinder is:

[tex]\begin{gathered} S.A.=2\pi r^2+2\pi rh \\ \text{ Where} \\ S.A\text{. is the surface area,} \\ r\text{ is the radius, and} \\ h\text{ is the height of the cylinder} \end{gathered}[/tex]So, in this case, we have:

[tex]\begin{gathered} r=10\operatorname{cm} \\ h=22\operatorname{cm} \\ S.A.=2\pi r^2+2\pi rh \\ S.A.=2\pi(10cm)^2+2\pi(10cm)(22cm) \\ S.A.=2\pi(10cm)(10cm)+2\pi(10cm)(22cm) \\ S.A.=628.3cm^2+1382.3cm^2 \\ S.A.=2010.6cm^2 \end{gathered}[/tex]Therefore, **the surface area of the given cylinder rounded to the nearest square centimetre is 2010.6 cm².**

Pls help i give crowns

**Answer:**

1. 27

2. [tex]\frac{27}{7}[/tex]

**Step-by-step explanation:**

9 / 7/3

9 * 3/7

9/1 * 3/7

27/7

**Answer:**

The answer to the first question is:

[tex]27[/tex] groups.

And the second answer is:

[tex]\frac{27}{7}[/tex]

**Step-by-step explanation:**

**Step 1: Analyze the number line**

As we can see from the number line, each interval equals to [tex]\frac{1}{3}[/tex].

We can prove this by the fact that at the seventh interval, the value is [tex]\frac{7}{3}[/tex].

So, the value between each intervals would be:

[tex]\frac{7}{3}\div 7\\=\frac{1}{3}[/tex]

**Step 2: Solving the first question:**

We can see that the number [tex]9[/tex] lies on the [tex]27\text{th}[/tex] interval.

Since the value between each interval is [tex]\frac{1}{3}[/tex], it would take [tex]27[/tex] groups of [tex]\frac{1}{3}[/tex] to equal to [tex]9[/tex].

**Step 3: Solving the second question:**

From the number line, we can see that it takes four groups of [tex]\frac{7}{3}[/tex] to equal to [tex]\frac{28}{3}[/tex].

And since we are taking [tex]\frac{7}{3}[/tex] as a single group here, each interval in a group of [tex]\frac{7}{3}[/tex] would be [tex]\frac{1}{7}[/tex] of the group.

So, the answer of the division would be: [tex]4[/tex] (the number of groups of [tex]\frac{7}{3}[/tex]needed to reach [tex]\frac{28}{3}[/tex]) minus [tex]\frac{1}{7}[/tex] (the amount of the group that when subtracted, brings the entire answer to [tex]9[/tex]):

[tex]4-\frac{1}{7}\\\\\frac{4\times 7}{7}-\frac{1}{7}\\\\=\frac{28}{7}-\frac{1}{7}\\\\=\frac{28-1}{7}\\\\=\frac{27}{7}[/tex]

Without using a calculator, order the

following expressions from least to greatest.

29 2

3

64

The **expressions** from** least to greatest** is (√3)² < 8² < 29².

How to **compare** **expressions** with indices?**Expressions **with **indices **are of **three types**:**(1)** when bases are equal and powers are different;**(2)** when powers are equal but bases are different;**(3) **when both powers and bases are unequal.

To **solve** an expression of **type (1)**, we **compare** the **powers** for the given expressions only to determine the greater number efficiently, **no heed** needs to be given to the **base**.

To solve an expression of **type (2)**, we **compare** the** bases** for the given expressions only to determine the greater number efficiently, **no heed** needs to be given to the **powers**.

To solve an expression of **type (3)**, we** reduce** the **power** of an expression until it matches the other, so that for **comparison **only **bases** are to be taken into consideration **without** any **heed** to **powers**.

Given the **expressions** are **29²**, **3** and** 64**

The given expressions can be re-written as: 29², (√3)² and 8².

On comparing the expressions with the above literature, they match type (2), thus following the assertions we should compare the bases only to find the greatest number.

Thus, the correct order for expressions is: (√3)² < 8² < 29²

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Describe a series of transformations Matt can perform to decide if the two windows are congruent

**Congruent** shapes are produced by combining rotations, reflections, and translations. In fact, any pair of congruent shapes can be matched to one another by combining one or more of these three **transformations**.

A point, line, or geometric figure can be transformed into one of four different shapes or locations. Pre-Image refers to the shape of the object prior to transformation, whereas **Image** refers to the location and shape of the object after **transformation**.

Given information

We now know that the size and shape of the figures are preserved during stiff **transformations** (reflections, translations, and rotations). The pre-image and the actual image concur completely.

The following Matt's transformative skills:

**Reflection **

Because the The line of reflection remains the same distance away from comparable points from the pre-image to the image.

As a Congruence Transformation - **rotations**

Rotating a figure causes it to twist. Even though the figure is the same size and shape as before, it appears to have toppled over. A clock is a fantastic example of how the earth actually rotates. Every hour or every day, the clock's connecting arms revolve around their axis. A rotation's degree determines what it is, and common rotations include 90, 180, and 270 degrees. Before going back to its original position, the figure rotates a full 360 degrees. the direction of a rotation, whether it is counterclockwise or clockwise. It is possible to determine the degree, amount, and and the direction of a revolution.

**Translational** congruence transformation

When an object or shape is transported from one location to another without altering its size, shape, or orientation, the movement is referred to as a translation. During a translation, also known as a slide occasionally, every point on an object or shape is moved by the same amount and in the same direction.

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Hey I need help I got stuck I am struggling

According to the trigonometric relations in a right triangle, the following relation is valid:

[tex]\begin{gathered} \sin x\degree=\frac{\text{opposite leg}}{hypotenuse}=\frac{4.9}{7.5} \\ \sin x\degree=0.6533\ldots \\ x\degree=\arcsin 0.6533\ldots \\ x\degree\approx40.8\degree \end{gathered}[/tex]How would you write the phrase, “I do not want fries with my burger” in spanish?

The **phrase**, “I do not want fries with my burger” in **Spanish** is “No quiero papas fritas con mi hamburguesa".

A **phrase** is a group of words or a single word that functions as a grammatical unit in syntax and grammar. The English phrase "the extremely happy squirrel," for instance, is a **noun phrase** that also incorporates the adjective phrase "very happy." A phrase may be made up of a single word or a whole sentence.

A **phrase** is typically a group of words with a specific idiomatic meaning or other importance, such as "all rights reserved," "**economical **with the truth," "kick the bucket," and the like. It could be a euphemism, a proverb, a permanent word, a figure of speech, or anything else. These are referred to as phrasemes in **linguistics**.

A **phrase** is a group of words that together convey one or more speech elements. They are crucial because they enhance your ability to communicate **verbally** and in writing. In this case, the phrase has been translated into **Spanish**.

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What's the correct letter name for this below?

The correct letter **name** for ∠1 is ∠ABC.

There are various ways of **naming angles** . One can **name** an angle by its vertex, by the three points of the** angle** (the middle point must be the vertex), or by a letter or number written within the opening of the **angle**.

The method adopted to name the angle below is the three points of the angle.

Therefore, using the three points, the ∠1 can be** named **as follows:

∠1 = ∠ABC

The middle point is usually the vertex.

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Factor the expression over the complex numbers. x^2+25 Enter your answer in the box.

please help

The **complex number** factors are (x+5i) and (x-5i).

The term a + bi, where a and b are real numbers, can be used to represent any **complex number**.

The given **expression **is x² + 25

Now this can be written as :

x² - [(i)²×(5)²] as we know that i² = -1.

Now we use the **algebraic **form of a²-b² =(a + b)(a - b) to separate it into **complex factors**.

or , (x+5i)(x-5i)

Therefore the **complex number** factors are (x+5i) and (x-5i).

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The triangle below will be translated 2 units up and 5 units to the right.3АA22-4-3045- 1Bс2What will be the coordinates of point A'?O (4,4)O (1,7)O (-3,-3)O (-6,0)

In general, a translation:

• in the x-direction by n units is given by: (x, y) → (x + n, y),

,• in the y-direction by m units is given by: (x, y) → (x, y + m),

,• the combination of both translations is: (x, y) → (x + n, y + m).

In this problem, we want to translate a triangle 2 units up and 5 units to the right, so we want to translate the points of the triangle in the following way:

[tex](x,y)\rightarrow(x+5,y+2)[/tex]From the graph we see that the coordinates of point A are:

[tex](x_A,y_A)=(-1,2)[/tex]Making the translation we get:

[tex](x_A+5,y_A+2)=(-1+5,2+2)=(4,4)[/tex]**Answer**

**(4,4)**

Use the list below to complete each sentence.

factor

product

1. -3- (-12)=-12-(-3)

positive

negative

a. This equation is written using the

of Multiplication.

additive inverses

Distributive Property

b. Both factors in this equation are Poritiv

c. The product will be Distributive property

3. (5 (-9))-6-5-((-9). 6)

b. One

2. -7 (-8+8)=[-7 (-8)] + [-7.8]

a. This equation is written using the

b. The product of this equation is 0. This is because the sum of the

,-8 and 8, is equal to 0.

a. This equation is written using the

of Multiplication.

are positive.

c. The

negative

Commutative Property

Associative Property

is negative, while the other two

will be negative.

1a) This **equation** is written using the **Distributive Property** of Multiplication.

b) Both factors in this equation are negative.

c) The **product** will be positive.

2a) This **equation** is written using the **Additive inverses** of Multiplication.

b) The **product **of this **equation** is 0.

c) This is because the **sum** of (-8+8) is equal to 0.

3a) This **equation** is written using the **Commutative Property** of Multiplication.

b) The **products** of the **commutative multiplications** do not change.

c) This is because changing the order of factors does not affect the solution.

What are the properties of multiplication?The **properties of multiplication** are:

For the **distributive property**, multiplying the sum of two numbers by another number gives the same result as distributing the first number to both other numbers and multiplying them separately and adding.

1) -3(-12) = -12(-3)

= 36 = 36

2) -7 (-8+8) = [-7 (-8)] + [-7 (8)]

= -7(0) = [56 + - 56

0 = 0

3. (5 (-9))-6 = -5 ((-9) +6)

(-45)-6 = -5(-54)

270 = 270

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Question Completion:2) -7 (-8+8) = [-7 (-8)] + [-7 (8)]

3. (5 (-9))-6 = -5 ((-9) +6)

samuel carries three sacks of gravel to his motorcycle which weigh 800 cm³ cube how many liters did he carry?Plss answer it now I need help

Explanation:

To be able to determine the number of liters Samuel carried, let's convert first the 800 cm³ to liters.

The conversion formula is 1 cm³ = 0.001 liters.

So, to convert 800 cm³ to liters, let's multiply 800 by 0.001.

[tex]800cm^3\times\frac{0.001L}{1cm^3}=0.8L[/tex]Answer:

Sam has a piece of rope that is 3 1/2 feet long. He cuts the rope so that one piece is 1 1/3 feet long what is the length of the other half?

[tex]3\frac{1}{2}=\frac{3\cdot2+1}{2}=\frac{7}{2}[/tex][tex]1\frac{1}{3}=\frac{1\cdot3+1}{3}=\frac{4}{3}[/tex]

The length of the other half is:

[tex]\frac{7}{2}-\frac{4}{3}=\frac{7\cdot3-4\cdot2}{2\cdot3}=\frac{21-8}{6}=\frac{13}{6}[/tex][tex]\frac{13}{6}=\frac{12+1}{6}=\frac{12}{6}+\frac{1}{6}=2+\frac{1}{6}=2\frac{1}{6}\text{ fe}et[/tex]Which set of values belong to the domain and range of a relation?

**Domain** is x values of the set and **range** is y values of the set.

**What is domain and range?**

**Domain** is the set of all first numbers of the ordered pairs in a relation and **range** is the set of second numbers of the ordered pair in relation.

The **domain** is the set of independent values, meaning the set of x-coordinates of the ordered pair as x is an independent variable.

The **range** is set of dependent values, meaning the set of y-coordinates of the ordered pair as y is an independent variable.

For example- we have a set

(1,2) (0,6) (2,3) (4,5)

**Domain** = {1,0,2,4}

**Range** = {2,0,3,5}

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use the recipe to find the ratio of bananas to tomatoes in simplest form. put the ratio data in the first row of the ratio table below. the fill in the ratio table to create two equivalent ratios

**Answer:**

**Bananas Tomatoes **

** 1 3 **

** 2 6 **

** 3 9 **

** 4 12 **

**Explanation:**

The ratio of bananas to tomatoes can be calculated as the division of the number of bananas in the recipe over the number of tomatoes in the recipe. So, the ratio is:

[tex]\frac{2\text{ bananas}}{6\text{ tomatoes}}[/tex]Therefore, to find the simplest form, we can divide the numerator and denominator by 2 as:

[tex]\frac{2\div2}{6\div2}=\frac{1\text{ bananas}}{3\text{ tomatoes}}[/tex]Then, we can fill the table as:

Bananas Tomatoes Ratio

1 3 1/3

2 6 2/6 = 1/3

3 9 3/9 = 1/3

4 12 4/12 = 1/3

Where every ratio is equivalent to 1/3

What is the equal number for 2 tens and 15 ones

Two tens are 20 plus 15 ones is 35!

Calculate Sample Variance for the following data collection: 10, 11,12, 13, 14, 18.

To calculate the variance follow these steps:

1. Work out the Mean

2. Then for each number: subtract the Mean and square the result .

3. Then work out the average of those squared differences.

The data are 10, 11, 12, 13, 14, 18

The first step find the mean

The mean = sum of data/number of data

The sum = 10 + 11 + 12+ 13 +14 + 18 = 78

The number =

question 11, rewrite the formulaThe area of a triangle is A-a. Rewrite the formula for b.b. Rewrite the formula for h.

Given the formula:

[tex]A\text{ = }\frac{1}{2}bh[/tex]a) Rewrite for b:

First step: Multiply 2 to both sides

[tex]\begin{gathered} 2A\text{ = }\frac{1}{2}bh\text{ }\ast2 \\ \\ 2A\text{ = bh} \end{gathered}[/tex]Second step: divide both sides by h

[tex]\frac{2A}{h}\text{ = b}[/tex][tex]\begin{gathered} \text{Thus,} \\ b\text{ = }\frac{2A}{h} \end{gathered}[/tex]B) Rewrite for h:

First step: Multiply 2 to both sides

[tex]\begin{gathered} 2A\text{ = }\frac{1}{2}bh\ast2 \\ \\ 2A\text{ = bh} \end{gathered}[/tex]Second step: divide both sides by b

[tex]\begin{gathered} \frac{2A}{b}\text{ = }\frac{bh}{b} \\ \\ \frac{2A}{b}\text{ = h} \end{gathered}[/tex][tex]h\text{ = }\frac{2A}{b}[/tex]Jayla plays on the Strikers soccer team. The team worked on 5 new drills at yesterday's

practice, spending the same amount of time on each drill. Jayla was 15 minutes late and only

practiced for 40 minutes.

) Which equation can you use to find how long, x, the team spent on each drill?

The **equation** that can be use to find how long, x the team spent on each drill is 55 = 5x

Jayla plays on the Strikers soccer team.

The team worked on 5 new drills at yesterday's practice, spending the same amount of time on each drill.

Jayla was 15 minutes late and only practiced for 40 minutes.

The **equation** that can be used to represent the situation is as follows:

where

x = time the team spent on each training drill

Therefore, the **equation **is as follows:

15 + 40 = 5x

55 = 5x

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2. The slope of a line is -4. Find the value of x so that the line passes through the points

(-1,7) and (x,-9). A graph

is provided if needed.

The value of the variable 'x' is calculated by solving equation of the line by using **slope **value is: x = 3

**What is slope of a line?**

The **slope **of a **line **explain the steepness of the line segment. It is ration of the coordinates of the y-axis and the vertical coordinates of the x-axis. Depending upon the **slope **value, it is classified as whether lines are parallel or perpendicular.

According to the question, the given parameters for the line segment is as written below:

**Slope **of a **line **= (-4) and the coordinate points = (-1, 7)(x,-9): (x1 = -1; y1 = 7)

Now, by using standard equation for the line segment: y = mx + c

where, 'm' is the **slope**; c is the y-intercept; (x, y) are coordinates

Substituting given values that is **slope **and y-intercept in the standard equation, we get:

y = mx + c

⇒ 7 = (-4)(-1) + c

⇒ c = 7 - 4 = 3

Therefore, the value of the y-intercept is: c = (3)

Equation of the line by substituting the value of the y-intercept as well as **slope **value in another equation whose coordinates are (x, -9):

-9 = (-4)x + (3) ⇒ -12 = -4x ⇒ x =3

Hence, the value of the variable 'x' is calculated by solving equation of the line by using **slope **value is: x = 3

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Evaluate (m³ + 4) -n² if m= -4 and n=-6. Write your answer as an integer.

**Answer:**

-96

**Step-by-step explanation:**

m = -4

n = -6

(m³ + 4) - n² =

= [(-4)³ + 4] - (-6)²

= -64 + 4 - 36

= -60 - 36

= -96

CAN SOMEONE HELP WITH THIS QUESTION?✨

The **value** of P = $5000, r = 3.6%/4 = 0.9%, n = 4n and **amount **after 10 years is $5450.

**Compound interest** may be defined as the **interest** which can be applied by any institution on any individual in which the interest amount after a year becomes **principle** for the next year. The formula for compound interest is given as A = P(1 + r/n) ^ nt where A is the amount, P is the principle, r is the **interest rate**, n is compounding **frequency** and t is the **time**. If compounded quarterly the principle will be same as in the question that is $5000, the interest rate will be divided by 4 that is r = 0.9% and the compounding frequency will be** 4 times** that is 4n. Now, we need to find the amount after 10 years that is t = 10 years. The amount will be

A = P(1 + r/4n) ^ 4nt

A = 5000(1 + 0.9/100×4×12) ^4×12×10

A = 5000(1.09)

A = $5450 which will be** amount** after 10 years.

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The answers are 0, 1, 3, and 3.5. I think the answer is 3 but I'm not sure

The y-intercept of any function is the point where the line intersect with the y-axis, at this point the value of x is zero.

If you look at the graph, the line intersects the y-axis at point (0,3), so the** y-coordinate of the y-intercept is 3**

I need help finding the vortex angle with these three sides. I don’t really know how to do this sort of thing with an isosceles triangle. Once I know the vortex angle I can figure out the base angles.

**Answer:**

To find the angle D, use the law of cosines, which is represented as:

[tex]\begin{gathered} d^2=e^2+f^2-2(e)(f)\cos D \\ 3^2=12^2+12^2-2(12)(12)\cos D \\ 9=144+144-288\cos D \\ -279==-288\cos D \\ \frac{-279}{-288}=\cos D \\ D=\cos ^{-1}(\frac{-279}{-288}) \\ D=14.36\degree \end{gathered}[/tex]Then, since the base angles are equal in measure:

[tex]\begin{gathered}The volume of this cylinder is approximately 12,468.94 cubic feet.The radius is ___ feet.Use π = 3.14.

we have that

the volume of the cylinder is

V=pi(r^2)h

the radius is given

r=57 cm

Remember that

1 ft=30.48 cm

so

57 cm=57/30.48=1.87 ft

the radius is 1.87 ft
slope stability analysis seeks to quantify the force that drive mass wasting events. gravity pulls hills slope material down hill. what is the primary characteristic that resists this force.
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Please help if you can
Lars Osberg, a single taxpayer with a 35 percent marginal tax rate, desires health insurance. Volvo, his employer, has a 21 percent marginal tax rate. The health insurance will cost Lars $8,500 to purchase if he pays for it himself through the health exchange (Larss AGI is too high to receive any tax deduction for the insurance as a medical expense). Answer the following questions about this benefit. (Do not round intermediate computations. Round your final answer to the nearest whole dollar amount.)b. What would be the after-tax cost to Volvo to provide Lars with health insurance if it could purchase the insurance through its group plan for $5,000?c. Assume that Volvo could purchase the insurance for $5,000. Lars is interested in getting health insurance, and he is willing to receive a lower salary in exchange for the health insurance. What is the least amount by which Volvo would be willing to reduce Larss salary while agreeing to pay his health insurance?
A. Thermal to Chemical to Electrical to MechanicalB. Mechanical to Chemical to Electrical to Thermal C. Electrical to Chemical to Mechanical to ThermalD. Chemical to Thermal to Mechanical to Electrical
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HELP ASAP I NEED ANSWER NOWW IT'S MISSING PLEASE HELP 50 POINTS
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