What is 159,100 rounded to nearest thousand

Answers

Answer 1

Answer: 159,000

Step-by-step explanation:

The number after the nine (one) is under five, so you keep the number the same instead of rounding up :)


Related Questions

Try to solve for x and y

Answers

Answer:

x = 7

y = 8

Step-by-step explanation:

Create two equations.

Equation 1

Both triangles are isosceles triangles since two of their sides are congruent.  Therefore, the base angles of the top triangle are equal:

[tex]\implies y^2-8=x^2+x[/tex]

Equation 2

According to the Vertical Angles Theorem, when two straight lines intersect, the opposite vertical angles are congruent.  Therefore, the apexes of the triangles are equal.  This means the sum of the base angles are equal:

[tex]\implies (y^2-8)+(x^2+x)=8x+8x[/tex]

[tex]\implies y^2-8+x^2+x=16x[/tex]

[tex]\implies y^2-8+x^2+x-x^2=-x^2+16x[/tex]

[tex]\implies y^2-8+x=-x^2+16x[/tex]

[tex]\implies y^2-8+x-x=-x^2+16x-x[/tex]

[tex]\implies y^2-8=-x^2+15x[/tex]

Substitute the first equation into the second equation and solve for x:

[tex]\implies x^2+x=-x^2+15x[/tex]

[tex]\implies x^2+x+x^2=-x^2+15x+x^2[/tex]

[tex]\implies 2x^2+x=15x[/tex]

[tex]\implies 2x^2+x-15x=15x-15x[/tex]

[tex]\implies 2x^2-14x=0[/tex]

[tex]\implies 2(x^2-7x)=0[/tex]

[tex]\implies x^2-7x=0[/tex]

[tex]\implies x(x-7)=0[/tex]

Therefore:

[tex]\implies x=0, \quad x=7[/tex]

If x was zero, some of the angles would be zero, which is impossible.

Therefore, the only valid solution is x = 7.

Substitute the found value of x into the first equation and solve for y:

[tex]\implies y^2-8=(7)^2+7[/tex]

[tex]\implies y^2-8=49+7[/tex]

[tex]\implies y^2-8=56[/tex]

[tex]\implies y^2=64[/tex]

[tex]\implies y=8[/tex]

Solution

x = 7y = 8

Fill in the table given the visual pattern for the first 5 steps

Answers

The pattern consists of adding a new square on the right, and then adding a new square below previous squares.

I NEED HELP PLSSSSSS THIS IS NOT EASY FOR ME AND THIS IS DUE TMR!

Answers

The plus sign is a composite of rectangles . The shape is comprised of:

1. 4 congruent rectangles with sides 20 in and 12 in

2. A square at the center with sides 20 in by 20in

The total area of Demi's Tester ca be found using the formula:

[tex]Total\text{ area = 4 }\times\text{ l}\times\text{ b +}l^2[/tex]

Substituting the given side lengths:

[tex]\begin{gathered} Total\text{ area = 4 }\times\text{ 20 }\times\text{ 12 + 20}\times\text{ 20} \\ =\text{ 1360 in}^2 \end{gathered}[/tex]

Hence, the total area of Demi's poster is 1360 square in

if f(x) and f1(x) are inverse functions of each other and f(x)=2x+5 what is f1(8)?-13/241/823

Answers

we have the following:

[tex]undefined[/tex]

confused please help only (a) in exponential form please​

Answers

On simplifying the given expressions we get-

a) [tex]5^{12}[/tex]

b) [tex]5^{18}[/tex]

Here, we are given two expressions in exponential form. Let us solve them one by one.

Firstly, we look at a property of exponentials as follows-

[tex]x^{a} x^{b} = x^{a+b}[/tex]

Theoretically, this means that when the bases are equal, the powers can be added in case of multiplication of exponentials.

Now, we have-

a) [tex]5^{2} 5^{10}[/tex]

here, the base is equal, that is, 5. So we just add the powers to get-

[tex]5^{2+10}[/tex]

= [tex]5^{12}[/tex]

b) [tex]5^{2} 5^{7} 5^{9}[/tex]

Here, we have 3 exponents, but the property will still remain the same. Bases are all equal to 5, thus the expression will become-

[tex]5^{2+7+9}[/tex]

= [tex]5^{18}[/tex]

Thus, on simplifying the given expressions we get [tex]5^{12}[/tex] and [tex]5^{18}[/tex] respectively.

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Solve the equation 2x2 - x - 5 = 1 using the quadratic formula.

Answers

For a general quadratic polynomial of the form:

[tex]ax^2+bx+c=0[/tex]

the solution is

[tex]x_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]

this formula is called "the quadratic formula". There are 2 solutions indicated by the subindex 1 and 2 in x.

In our case, by comparing polynomials, we can see that

[tex]\begin{gathered} a=2 \\ b=-1 \\ c=-6 \end{gathered}[/tex]

becuase our polynomial is

[tex]2x^2-x-6=0[/tex]

in which we moved 1 to the left hand side as -1.

Then, by applying the quadratic formula, we have

[tex]x_{1,2}=\frac{-(-1)\pm\sqrt[]{(-1)^2-4(2)(-6)}}{2(2)}[/tex]

Then ,the first solution is

[tex]x_1=\frac{-(-1)+\sqrt[]{(-1)^2-4(2)(-6)}}{2(2)}[/tex]

and the

Which expression is equivalent to 8x3 − 27 when factored completely?

Answers

The given expression is

[tex]8x^3-27[/tex]

To find the equivalent expression, we use the formula for the difference of perfect cubes.

[tex]a^3-b^3=(a-b)(a^2+ab+b^2)[/tex]

But, we have to express the numbers 8 and 27 as cubic powers.

[tex]\begin{gathered} 8=2\cdot2\cdot2=2^3 \\ 27=3\cdot3\cdot3=3^3 \end{gathered}[/tex]

Then, we know that a and b are

[tex]\begin{gathered} a=2x \\ b=3 \end{gathered}[/tex]

So, the difference would be

[tex](2x)^3-(3)^3[/tex]

Once we have the difference expressed in cubes, we apply the formula using the a and b values we determined before.

[tex](2x)^3-(3)^3=(2x-3)((2x)^2+(2x)(3)+(3)^2)_{}=(2x-3)(4x^2_{}+6x+9)[/tex]

Therefore, the factors are

[tex](2x-3)(4x^2+6x+9)_{}[/tex]

Find the product of (3 x 109) and (2 x 109). Write the final answer in scientific notation.

6 x 10^81

6 x 100^18

6 x 10^18

6 x 10^9

pls help

Answers

Answer:

C. 6 x 10^18
Step-by-step explanation:

This is the correct answer


4. Rangers in Montana wanted to estimate the number of elk in a certain area. They tagged 20
elk one Saturday and sent them back to mix with the other elk in the area. The rangers went back
once a month for the next three months and recorded the following.
Month 1 Month 2 Month 3
4
6
12
Tagged elk in sample
Total elk in sample
7
10
18
a. Estimate the size of the elk population for each month.
Month 1:
Month 2 =
Month 3

Answers

Based on the information in the provided table, the elk population for the first month is 11, the second month is 16, and the third month is 30.

In mathematics, what is a data table?Tables are a good way to organize data by using rows and columns. Tables are a versatile organizational tool that can be used to communicate information on their own or in conjunction with another type of data representation (like a graph).

Using the information in the give table, we need to calculate the elk population size for each month.

For first month,

elk population = tagged elk + total elk

                        = 4 + 7

                        = 11

For second month,

elk population = tagged elk + total elk

                        = 6 + 10

                        = 16

For third month,

elk population = tagged elk + total elk

                        = 12 + 18

                        = 30

Therefore, the elk population for first month is 11, second month is 16 and third month is 30 which is calculated from the given table data.

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The topic of this problem is "Scale Factors". This is the information: Solid 1 has: * A surface area of 128 cm^2* A volume of 15360 cm^3 Solid 2 has: * An unknown surface area. * A volume of 6480 cm^3 I need to find the surface area of solid 2.

Answers

Let the unknown surface area be x

The ratio of the surface area to volume in solid 1 must be equal to the ratio of the surface area to volume in solid 2.

[tex]\begin{gathered} \frac{128}{15360}=\frac{x}{6480} \\ \Rightarrow x=\frac{128}{15360}\times6480=54\text{ cm}^2 \end{gathered}[/tex]

Hence, the surface area of solid 2 is 54 cm^2

Directions: Answer the following questions using the figure below.

3. Name two right angles.
a. NOK, JOK
b. NOJ, NOL
C. NOJ, JOL

Answers

(C.) The two right angles in the diagram are NOJ and JOL.

What is right angle?

A right angle is formed when two straight lines intersect each other at 90˚ or are perpendicular to each other at the intersection.

A right angle is denoted by angle 90 degrees.

The symbol between NOJ indicates right angle because the measure of the angle is 90 degrees.

Since the sum of angles on a straight line is 180 degrees, and we know angle NOJ, angle JOL can be calculated as follows;

NOJ + JOL = 180

JOL = 180 - NOJ

JOL = 180 - 90

JOL = 90

Thus, the two right angles in the diagram are NOJ and JOL.

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Can someone please help me? Im confused.

Answers

Answer:

12

Step-by-step explanation:

9/12 to y/16 (the ratio of the short side relative to the long side)

0.75 = y/16 (a ratio can be expressed as a decimal)

16(0.75) = y (multiply 16 to both sides, isolate y)

y = 12 (b/c three-quarters of 16 is 12)

Answer:

y = 12

Step-by-step explanation:

Δ RSQ and Δ ROP are similar ( AA postulate ) then the ratio of corresponding sides are in proportion, that is

[tex]\frac{SQ}{OP}[/tex] = [tex]\frac{RS}{RO}[/tex] ( substitute values )

[tex]\frac{y}{16}[/tex] = [tex]\frac{9}{12}[/tex] ( cross- multiply )

12y = 16 × 9 = 144 ( divide both sides by 12 )

y = 12

What is 9^p/9^5= 9^3. What is p in tbe equation?

Answers

The value of "p" in the given equation 9^p/9^5= 9^3 is p = 8 using the concept of exponents and powers.

As per the question statement, we are given an equation which is as follows : 9^p/9^5= 9^3  and we are supposed to find the value of "p" in the given equation,

We will be using the concept of exponents and powers.

We know, a^m*a^n = a^(m+n)

        and, a^m/a^n = a^(m-n)

Hence using the same formula, we get

9^p/9^5= 9^3

Left Hand side(LHS): 9^p/9^5 = 9^(p-5)

Right hand side(RHS): 9^3

As LHS = RHS

We get 9^(p-5) = 9^3

Now equating the powers, as the base is same, we get

p-5=3

p = 8

Hence, the value of "p" in the given equation 9^p/9^5= 9^3 is p = 8 using the concept of exponents and powers.

Equation: The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.Exponents and powers: In mathematics, a base number raised to an exponent is referred to as a power. The base number is the factor that is multiplied by itself, and the exponent indicates how many times the base number has been multiplied.

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Several people were asked to report the number of hours of sleep they average per night. The results are shown in thehistogram below. How many of those people average greater than 4.5 and less than 6.5 hours of sleep per night?

Answers

EXPLANATION

We can get the solution by calculating the frequency on the Histogram as shown as follows:

Hours Frequency

4.5-5.5 7

5.5-6.5 4

------------

Total Frequency ----------------------> 11

The number of people that average greater than 4.5 and less than 6.5 hours of sleep per night are 11 persons.

I have a 93% in my ELAR grade, but today we took a CBA and I got a 72% on it. how much will that drop my grade in skyward. please help

Answers

we have the following:

[tex]\frac{93+72}{2}=\frac{165}{2}=82.5[/tex]

therefore, the answer is 82.5%

A bike shop sells you a bicycle for $63 and
a helmet for $21. The total cost is 150% of
what the shop spent originally.
a. How much did the shop spend originally?
b. How much profit did the bike shop earn
by selling the bicycle and helmet to you?

Answers

(a) The initial cost that the shop spend is $56 and;

(b) The profit that the bike shop earned by selling the bicycle and helmet to you is $28.

The price of the bicycle is $63 in a shop.

The price of a helmet is $21.

The total price is 150% more than what the shop originally paid for these times:

The total cost, C = $63 + $21 = $84

The cost is 150% of the initial cost let's say K;

C = 150% of K

C = 150/100 × K

C = 1.5K

Hence, the initial cost will be:

K = C/1.5 = $84/1.5

K = $56

The difference between the two costs will be the profit:

P = C - K

P = $84 - $56 = $28

Hence, the amount the shop spend is $56 and the profit the bike shop earns by selling the bicycle and helmet is $28.

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let f(x) = 4x -8 and g(x) =1/x^2
find (f . g) (x), then choose the correct domain for (f . g) (x).

Answers

Multiplication of two real functions,  (f . g) (x) is  4/x - 8/x² and the correct domain for (f . g) (x) is (-∞,0) U (0,∞)

Let f(x) and g(x) are two real functions.

​f(x)= 4x -8

g(x)= 1/x²

then

(f . g)(x) = (4x -8 ) x (1/x²)

(f . g)(x) = 4/x - 8/x²

The set of all the initial elements in all the ordered pairs in a relation R is known as the domain of R.

domain for (f . g) (x).(f . g)(x) = 4/x - 8/x²

we know that f(x) is undefined at x=0

so, domain will be

(-∞,0) U (0,∞)

Multiplication of two real functions,  (f . g) (x) is  4/x - 8/x² and the correct domain for (f . g) (x) is (-∞,0) U (0,∞)

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el ancho de un rectángulo es el doble de su largo si el perímetro es de 78 pies cuál es el largo y el ancho?

Answers

The width of the rectangle is twice its length.

So lets assume the width to be------ 2x feet

Then the length will be ------ x feet

The perimeter is given as ---- 78 feet

The formula for perimeter of a rectangle is ; 2[ l+w ] where l is length and w is width

Use the assumed measurements in the equation for perimeter as;

2[ l+w ] =78

2{x +2x] =78

2x +4x =78

6x = 78

x=13 feet

Length = x = 13 feet

Width = 2x = 2*13 = 26 feet

Simplify the following polynomial expression.

Answers

The simplified form of the polynomial expression is 5x⁴ - 37x³  - 6x² + 41x - 6

How to simplify polynomial?

The polynomial can be simplified as follows:

Therefore,

(5x⁴ - 9x³ + 7x - 1) + (- 8x⁴ + 4x² - 3x + 2) - (-4x³ + 5x - 1) (2x - 7)

Therefore, we have multiply first

(-4x³ + 5x - 1) (2x - 7) = -4 (2x - 7)x³ + 5x(2x - 7) - 1(2x - 7)

Hence,

(-4x³ + 5x - 1) (2x - 7) = - 8x⁴ + 28x³ + 10x² - 37x + 7

Therefore,

5x⁴ - 9x³ + 7x - 1 - 8x⁴ + 4x² - 3x + 2 + 8x⁴ - 28x³ - 10x² + 37x - 7

Combine like terms

Therefore,

5x⁴ - 8x⁴ + 8x⁴ - 9x³ - 28x³ + 4x² - 10x² + 7x - 3x + 37x - 1 + 2 - 7

5x⁴ - 37x³  - 6x² + 41x - 6

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One side of a triangle is 4 times longer than the shortest side and the third side is 3 centimeters less than twice the length of the shortest side. The perimeter of the triangle is 46.How long is the shortest side of the triangle?

Answers

Let's use the variable x to represent the shortest side of the triangle.

If one side is 4 times longer than the shortest side, it measures "4x".

If the third side is 3 cm less than twice the length of the shortest side, it measures "2x - 3".

So, if the perimeter is 46 cm, we have:

[tex]\begin{gathered} x+4x+2x-3=46 \\ 7x-3=46 \\ 7x=49 \\ x=\frac{49}{7}=7 \end{gathered}[/tex]

So the shortest side measures 7 cm.

The table shows the number of bottles collected for recycling. Round the number of bottles collected by each grade to the nearest ten, nearest hundred, and nearest thousand. Choose from the rounded numbers in the box to fill in the table. 2,000 2,200 2,220 2,230 2,300 2,600 2,660 2,670 2,700 3,000 Grade Nearest Ten Nearest Hundred Number of Bottles Collected 2,227 2,664 Nearest Thousand 3 4

Answers

Explanation

Step 1

[tex]2227[/tex]

a)nearest ten

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

so,In this case, the digit to the right (7) is 5 or above. So, we add 1 to the tens place (2). The digit(s) at the right (7) becomes 0, thus we get 2230 as answer.

[tex]\begin{gathered} 2227\Rightarrow2230 \\ \text{because the 7 is greater or equak than 5} \end{gathered}[/tex]

b)Nearest hundred

Remember that the hundreds place is three moves from the left of the decimal point (if it exists). To round to the nearest hundred (nearest 100), we use the tens place to determine whether the hundreds place rounds up or stays the same,so

in this case: 27

[tex]\begin{gathered} 2227\Rightarrow2200 \\ \cdot\text{because 27is smaller than 50} \end{gathered}[/tex]

c)nearest thousand

Remember that the thousand place is four moves from the left of the decimal point (if it exists). To round to the nearest thousand (nearest 10000), we use the hundreds place to determine whether the thousands place rounds up or stays the same

so,in this case:227

[tex]\begin{gathered} 2227\Rightarrow2000 \\ \text{because 227 is smaller than 500} \end{gathered}[/tex]

Step 2

now, for :

[tex]2664[/tex]

a) nearest ten

[tex]\begin{gathered} 2664\Rightarrow2660 \\ \text{because 4 is smaller than 5} \end{gathered}[/tex]

b)nearest hundred

[tex]\begin{gathered} 2664\Rightarrow2700 \\ \text{because 64 is greater than 50} \end{gathered}[/tex]

c)nearest thousand

[tex]\begin{gathered} 2664\Rightarrow3000 \\ \text{because 664 is greater than 500} \end{gathered}[/tex]

I hope this helps you

Jake and Mia sold muffins at the bake sale. Jake collected $38 for selling a number of chocolate and blueberry muffins, while Mia collected $20 for selling
the same type of muffins. The following system of equations represents the scenario where is the price of a chocolate muffin and y is the price of a
blueberry muffin. What does the coefficient 3 represent?
(No Calculator)
8x+3y=38
2x+6y=20

Answers

The coefficient 3 represents that the numbers of blueberry muffins sold by Jake is 3.

What is defined as the system of equations?In algebra, a system of equations is two or more equations that must be solved simultaneously (i.e., the solution must fulfill all equations in the system). The quantity of equations must match the total of unknowns for a system to produce a unique solution.

For the given question;

Total amount = chocolate muffins's amount + blueberry muffins's amount

Jake's total sell = $38.

Mia's total sell = $20.

Let 'x' be the price of each chocolate muffins.

Let 'y' be the price of each blueberry muffins.

The system of linear equation is;

8x + 3y = 38

2x + 6y = 20

Thus, the coefficient 3 represents that the numbers of blueberry muffins sold by Jake is 3.

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what is a inital value.Context: exponential functions.

Answers

Explanation

Exponential functions have the form:

[tex]f(x)=a\cdot x^b.[/tex]

The initial value of the function f(x) is given by the value of f(x) when x = 0:

[tex]\text{ initial value }=f(0)=a\cdot x^0=a\cdot1=a.[/tex]Answer

For an exponential function:

[tex]f(x)=a\cdot x^b,[/tex]

we have:

[tex]\text{ initial value }=f(0)=a[/tex]

(8) Write the equation of the line that passes through the points (12, 4) and 1 (22,9).

Answers

Answer:

Step by step solution:

The

Which model represents 3×15?

Answers

3x15=45
(3x10)(3x5)=45

Graph the parabola.y=x2 - 10x + 23Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click onthe graph-a-function button.12-110х5?42-1010-

Answers

Answer:

• Vertex: (5,-2)

,

• Points to the left of the vertex: (3,2) and (4,-1)

,

• Points to the right of the vertex: (7,2) and (6, -1)

Explanation:

Given the equation of the parabola:

[tex]y=x^2-10x+23[/tex]

First, determine the vertex:

[tex]\begin{gathered} \text{Axis of symmetry: }x=-\frac{b}{2a} \\ x=-\frac{-10}{2\times1} \\ x=5 \\ \text{When x=5} \\ y=5^2-10(5)+23=-2 \\ \implies\text{Vertex}=(5,-2) \end{gathered}[/tex]

A table of values for the function is given below with the vertex identified:

Thus, we have the graph below:

• Vertex: (5,-2)

• Points to the left of the vertex: (3,2) and (4,-1)

,

• Points to the right of the vertex: (7,2) and (6, -1)

Classify the expression by the number of terms.5y?-8+62%O not a polynomialO binomial

Answers

Given:

[tex]5y^2-8+6y^4[/tex]

There are three terms in the given equation.

trinomial is the final answer.

Write an equivalent exponential expression to the expression 2^6 x 8^6.A 10^6B 16^6C 16^12D 16^36

Answers

[tex]2^6\cdot8^6=16^6[/tex]

so the answer is B

Let z(t)= 2t^2 +7t -4, find z(-1) and z(2).

Answers

Let z(t) be the function:

[tex]z(t)=2t^2+7t-4[/tex]

Then, to find z(-1), we evaluate directly into the function like this:

[tex]z(-1)=2(-1)^2+7(-1)-4=2(1)-7-4=2-11=-9[/tex]

and we do the same thing for z(2):

[tex]z(2)=2(2)^2+7(2)-4=8+14-4=18[/tex]

therefore, z(-1)=-9 and z(2)=18

The tallest person who ever lived was approximately 8 feet 11 inches tall.
Write an inequality that represents the heights h (in inches) of every other person who has ever lived.

Answers

Answer:  [tex]0 < h \le 107[/tex]

This is the same as writing [tex]h \le 107[/tex] where h is positive

======================================================

Work Shown:

1 foot = 12 inches

8*(1 foot) = 8*(12 inches)

8 feet = 96 inches

8 feet + 11 inches = 96 inches + 11 inches

8 feet + 11 inches = 107 inches

The tallest person is 107 inches tall.

If h is someone's height in inches only, then [tex]0 < h \le 107[/tex] is the inequality that describes all possible values of h.

We can simplify that into writing [tex]h \le 107[/tex] and write off to the side somewhere that h must be positive.

Answer: 0 < h < 107 inches

Step-by-step explanation:

     First, we see this question asks us to represent in inches, so we will convert 8'11" into inches.

           8 feet * 12 inches in a foot = 96 inches

           96 inches + 11 inches = 107 inches

     Next, we will write our inequality. If this person was the tallest, then everyone else will be less tall. We assume that nobody will be less than 0 inches tall, so that is the left side of our inequality.

           0 < h < 107 inches

      Since this question asks about every other person who has ever lived, we do not use ≤ (greater than or equal to) since the tallest person is the only height equivalent to 107 inches.

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beefy anchor supports are needed to afix suspension bridges to the earth such as these ones from arthur ravenel jr. bridge in charleston, south carolina. let us model the illustrated orange anchor as a planar truss that is subjected to the cable tension load . knowing 80 kn, cm, cm, cm and , determine forces , , and in kn in members , and . When Sarah was brought to Auschwitz, she did not realize that she was newlypregnant. Because she was young and healthy, she survived the selection and wasgiven a work assignment. Now Sarah is getting bigger, and it is getting more difficult tohide her pregnancy. What will MOST likely happen if the SS find out that Sarah isgoing to give birth? Tell which set or sets the number below belongs to:natural,whole,integer,rational,irrational, or real number -4/9 What is meant by the phrase ""keeping up with the joneses"" and how does this concept impact savings habits?. If the guide words on a dictionary page are feedback and fencing, which words would be on the page?feel feeble felon fence fender Find the acceleration of a toy place whose velocity as a function of time is given by the graph belowat a) t = 4.00 s b) t = 9.00 s and c) t = 11.0 s. ______ played a large role in fueling the civil rights and antiwar movements. Calculate simple interest (ordinary) and maturity valueProblem A simple interest note has a face value of 12,000, a rate of 8%, and a term of 1 year. Convert the point to polar coordinates using the interval [0, 2\small \pi) for . Show all work. The football players had to sell DEVIL FOOTBALL t-shirts to raise money for their next uniforms.They charged $17 for short sleeve shirts and $13 for long sleeve shirts.At the end of the fund raiser, they had sold 46 shirts and had made $718..How many of each type of shirt did they sell?Your job is to setup two equations to answer this question (we will not solve this system right now)Use S as the number of short sleeve shirts and L as the number of long sleeve shirts.Write your two equations below.Your 1st equation:Your 2nd equation:Question Help: Message instructorJump to AnswerCheck All Parts What major characteristic of romanticism is evident in the first 20 lines of the poem "Elegy Written in a Country Churchyard"? The amount of potential energy possessed by an object elevated is equal toThe power used to lift itThe work done in liftingThe distance liftedForce needed to lift it be 8. After reading the selection "Reality Check: Life Behind Insa-glam Image of'Influencers' " think about social media personalities', such as Jordan Bunker andEmily Lavinia, roles, responsibilities, and income/perks/ "free" products. Write ashort-constructed response (1-2 paragraphs) that recalls a personal situationwhere you got something for free but you really had to work for it. Support yourresponse with evidence from the selection.nou The Hendrix family was draining their pool at the end of summer. They found that the water level goes down by 0.4 feet every hour. If the water level in the pool has changed by -1.4 feet, how long have they been draining the pool? What is the primary advantage of conducting a survey rather than using other types of research methods?. trumpets of the baroque era were still "natural," meaning that they? which phrase does the author use to create the idea that the scientist i readys work was treacherous Physical exam shows mild erythema to both breasts and the tips of the nipples are pink and shiny with peeling at the periphery.a. Trueb. False A homeownerhas a budget of $135 forthe installation of a light fixture. Anelectrician charges $60 per hour plus aone-time trip charge of $45. What is thegreatest amount of time, in hours, theelectrician can work on the installationwhile staying within the homeowner'sbudget? Write your answer as a decimal. Can anyone answer please?