Given the equation 12.75y = 38.25, determine the value of y.

Answers

Answer 1

Answer:

y = 3

Step-by-step explanation:

12.75y = 38.25

To find the value of y, divide each side by 12.75

12.75y/12.75 = 38.25/12.75

y = 3


Related Questions

What is the end behavior of the polynomial function? Drag the choices into the boxes to correctly describe the end behavior of the function. f(x)=6x9−6x4−6 f(x)=−3x4−6x+4x−5


As x→−∞


As x→∞

Answers

The end behavior of the polynomial function is as shown in the attached picture.

What is polynomial function?

Polynomial functions refers to equation that consists of variables that have non negative exponents or powers. The when there is only one term in the equation it is referred to as monomial

What is end behavior of polynomial function?

The end behavior refers to the behavior of the function at the extremes of the x direction.

The end behavior of a polynomial function is controlled by the term that has the leading terms

In the given question,

The first question has 6x^9 as the term that controls the end behavior hence substituting the -∞ and +∞ gives the end behavior as attachedSimilarly, the second function has -3x^4 as the leading term substituting the -∞ and +∞ gives the end behavior as attached

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PLS
Natasha has a photo of a lasagna dish she made, which she wants to post to various
websites. The original image has a width of 300 pixels and a height of 450 pixels.
Consider each set of new dimensions or scale percents that show adjustments to this
original image. Describe how the image changed and whether the new image is
similar to the original. Show your work and explain your reasoning.

New image: 35% width, 35% height

Answers

As both the width and height of the new image are 35% of the width and height of the original image, the aspect ratio is maintained and the new image is similar to the original image.

What is a Scale Factor?

A scale factor is defined as the ratio of an object's original scale to that of a new one, considering the different depictions of that object (bigger or smaller)

Given:

The dimensions of the original image are a width of 300 pixels and a height of 450 pixels.

The dimensions of the New image have 35% width and 35% height.

Width = 0.35 × 300 = 105

Height = 0.35 × 450 = 157.5

Scale factor = New Dimension/Original Dimension

Scale factor of Height = 157.5/450 = 0.35

Scale factor of width =  105/300 = 0.35

Therefore, the new image is neither scaled down nor scaled up and is the same as the original image.

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Rewrite one fourteenth times x cubed times y plus three fourteenths times x times y squared using a common factor.

Answers

The equation that represents the sentence will be (1/14)xy ·[x² + 3y].

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.

The sentence is given below.

One-fourteenth times x cubed times y plus three-fourteenths times x times y squared.

Convert the sentence into an expression. Then we have

⇒ (1/14)x³y + (3/14)xy²

Simplify the expression, then we have

⇒ (1/14)x³y + (3/14)xy²

⇒ (1/14)xy ·[x² + 3y]

The equation that represents the sentence will be (1/14)xy ·[x² + 3y].

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You don't need to explain if you don't want.

Answers

Answer:

1

Step-by-step explanation:

The absolute value of x is the black line, therefor the absolute value of x-1 is the blue line

Hope that helps

s\\line t find the measure of each angle HELP ME NOWWW

Answers

The values of the angles for the two parallel lines will be ∠1 = 115°, ∠2=115°, ∠3=148°, and ∠4 = 148°.

What are lines and angles?

Straight lines with little depth or width are present. You will learn about a number of lines, including transversal, intersecting, and perpendicular lines. A figure called an angle is one in which two rays originate from the same point.

Given that the lines s and t are parallel to each other. The values of the different angles will be:-

∠1  = 115° Exterior angle property

∠2 = 115° Vertically opposite angle

The value of angle ∠3 will be calculated by the supplementary angle property.

∠3 = 148°

The value of angle ∠4 is 148 by vertically opposite angle property.

∠4 = 148°

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Solve for x and y in the problem below. Then, find m

Answers

Given the Cyclic Quadrilateral Theorem,

Opposite angles of a Cyclic Quadrilateral are supplementary(that is, they add up to 180°).

Therefore,

[tex]\begin{gathered} 17x+78^o=180^o \\ 17x=180^o-78^o \\ 17x=102^o \\ x=\frac{102^o}{17} \\ x=6^o \end{gathered}[/tex]

To obtain y,

[tex]\begin{gathered} 9y+6y=180^o \\ 15y=180^o \\ y=\frac{180^o}{15} \\ y=12^o \end{gathered}[/tex]

Thus,

[tex]\begin{gathered} m\angle X=9y \\ =9\times12 \\ =108^o \end{gathered}[/tex][tex]\begin{gathered} m\angle V=6y \\ =6\times12 \\ =72^o \end{gathered}[/tex][tex]\begin{gathered} m\angle W=17x \\ =17\times6 \\ =102^o \end{gathered}[/tex]

Therefore, the values are

m

m

m

equationsWrite a system of equations to describe the situation below, solve using elimination, and fill inche blanks.lada gets paid at home for doing extra chores. Last week, she did 1 load of laundry and 8oads of dishes, and her parents paid her $26. The week before, she finished 3 loads ofaundry and 8 loads of dishes, earning a total of $30. How much does Jada earn forcompleting each type of chore?

Answers

In this problem, we are going to write and solve a system of equations based on a real world situation.

Last week, she did 1 load of laundry and 8 loads of dishes, and her parents paid her $26. The week before, she finished 3 loads of laundry and 8 loads of dishes, earning a total of $30.

To begin, we need to create variables for the unknown cost of each chore.

Let x represent laundry, and let y represent dishes.

From the first equation, we can write the equation:

[tex]x+8y=26[/tex]

We can write the second equation as:

[tex]3x+8y=30[/tex]

Together, we have the system:

[tex]\begin{cases}x+8y={26} \\ 3x+8y={30}\end{cases}[/tex]

Multiply the first equation by -1, then add it to the second equation:

[tex]\begin{gathered} \begin{cases}-1(x+8y={26)} \\ 3x+8y={30}\end{cases} \\ \\ \begin{cases}-x-8y={-26} \\ 3x+8y={30}\end{cases} \\ \\ (-x+3x)+(-8y+8y)=-26+30 \\ 2x=4 \end{gathered}[/tex]

We can divide the remaining equation by 2 on both sides:

[tex]\begin{gathered} \frac{2x}{2}=\frac{4}{2} \\ \\ x=2 \end{gathered}[/tex]

Lada made $2 per load of laundry.

We can use the value of x in the first equation to find the value of y. Substitute x = 2:

[tex]2+8y=26[/tex]

Subtract 2 from both sides:

[tex]8y=24[/tex]

Divide by 8 on both sides:

[tex]y=3[/tex]

Lada made $3 per load of dishes.

Kaitlin sold t-shirts at a festival and made a profit of $71 . She made $4 for each t-shirt she sold. Her total expenses were $25 . How many t-shirts did she sell?

Answers

The t-shirts she sell is 24.

What is profit and selling price?

Profit is considered as the gain amount from any business activity. Whenever a shopkeeper sells a product, his motive is to gain some benefit from the buyer in the name of profit.

The selling price is the price that the buyer pays to buy a product or goods. This is a price above cost and includes a profit ratio.

According to Question, Christine sold the t- shirts at $4 each and she earned a profit of $71 and his total expenses were $25

Let the total number of t- shirts sold by Christine be "x"

Profit = Selling price – Expenses

Selling price is given as:

selling price = total number to t-shirt sold ×price of each t shirt

selling price = n ×4

71 = (n×4) -24

71 + 25  = n×4

96/4 = n

n = 24

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8) A bank pays interest of 11%. Mamuru puts $5000 in the bank.
How much money does he have after:
a) one year?
b) three years?
c) five years?

Answers

Answer:

Assuming that the interest Is paid out yearly After one year he would have $5550 After 3 years he would have $6838.16 After 5 years he would have $8425.29

Cristian bought a new electronic tablet on sale 1/4 off the original Price.
A.What is the amount of the discount if the original price was $755
B.What is the scales price of the Tablet

Answers

Answer:

A: $188.75

B: $566.25

Step-by-step explanation:

To find the amount of the discount you can either multiply the original price ($755) by 1/4 or you can divide by 4.

Either way will get you $188.75. This is a quarter of the original price and is what is subtracted from the original sale price ($755). To find the sale price after the discount you do:

755-188.75=$566.25.

To check this you can do 755 × 3/4.

Hope this helps.

Please Mark Brainliest!!!

Answer:

What he said

Step-by-step explanation:

What does it mean (to the process of finding all factors) that I have found 2 PRIME factors as a factor pair?

Answers

Answer:

It means that you are done.

Step-by-step explanation:

When you are trying to find factors of a number or an algebraic expression, you must keep on factoring until you have all PRIME factors. PRIME factors cannot be further factored. So that means you are done factoring.

example: (a number)

6

factors: 2 and 3

2 and 3 are prime they can't be factored anymore so you have completely factored 6.

example: 20

factors: 4 and 5

5 is prime but 4 is not, so you can factor it more.

4 is 2×2

So 20 factored is 2×2×5

Or algebra example:

Factor x^4 - 81

factors: x^2 - 9 and x^2 + 9

x^2 + 9 cannot be factored more (prime) but x^2-9 can. Its x-3 and x+3.

5 (u - 5) + 6u = 8 solve for u and simplifly your answer as much as possible

Answers

Answer:

u = 3

Step-by-step explanation:

Step 1: Distribute 5 in u - 5

[tex]\displaystyle{5\cdot u - 5\cdot 5 +6u=8}\\\\\displaystyle{5u-25+6u=8}[/tex]

Step 2: Add like terms together (u-term)

[tex]\displaystyle{11u-25=8}[/tex]

Step 3: Add both sides by 25

[tex]\displaystyle{11u-25+25=8+25}\\\\\displaystyle{11u=33}[/tex]

Step 4: Divide both sides by 11

[tex]\displaystyle{\dfrac{11u}{11}=\dfrac{33}{11}}\\\\\displaystyle{u=3}[/tex]

Answer Check

Step 1: Substitute u = 3 in the equation

[tex]\displaystyle{5(3-5)+6(3)=8}[/tex]

Step 2: Evaluate & Simplify

[tex]\displaystyle{5(-2)+18=8}\\\\\displaystyle{-10+18=8}\\\\\displaystyle{8=8}[/tex]

Since the equation is true after substituting u = 3. Therefore, the answer is u = 3.

Please let me know if you have any questions!

Which statement is true about the equations –3x + 4y = 12 and One-fourthx – One-thirdy = 1?

The system of the equations has exactly one solution at (–8, 3).
The system of the equations has exactly one solution at (–4, 3).
The system of the equations has no solution; the two lines are parallel.
The system of the equations has an infinite number of solutions represented by either equation.

Answers

Answer: The answer is c) The system of the equations has no solution; the two lines are parallel.

Step-by-step explanation: edge 2022

Answer: C

Step-by-step explanation:

pls help me asap! due in 30 minutes :(

Answers

Answer:

(x+6)+x=20 Andy

Step-by-step explanation:

X represents Andy

X+6 represents juana who did 6 more problems

(X+6)+x=20

2x+6=20

2x=14

X=7

ASAP NEED HELP WILL GIVE BRAINLIEST

Answers

The value of the unknown angle x is 22 degrees.

How to find the angle x?

SV is a parallel to RU.

RV is a transversal line that cut across the parallel lines SV and RU.

Therefore,

x = ∠V(alternate angles)

Alternate angles are congruent.

Hence,

∠V + 44 + 5x + 4 = 180 (sum of angles in a triangle)

x + 44 + 5x + 4 = 180

x + 5x + 48  = 180

6x + 48 = 180

6x = 180 - 48

6x = 132

divide both sides by 6

x = 132  /6

x = 22 degrees

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How much greater is 8.5 x 10^-2 than 6.6 × 10^-5 ?

Answers

Answer:

1288 times greater

Step-by-step explanation:

(8.5x10^-2)/(6.6x10^-5)

(8.5/6.6)*(10^-2/10^-5)

(1.29)*(10^3)

1288 times greater

same as my last two questions

Answers

The intervals to the given function are as follows:

Domain: (-∞,∞).Range: (-∞,∞).Rel. maximums: (1.366, -0.652).Rel. minimums: (-0.366, -5.848) and (2,-1).End behavior: As x -> -∞, f(x) -> ∞, and as x -> ∞, f(x) -> ∞.Inc. intervals: (-0.366, 1.366) U (2, ∞).Dec. intervals: (-∞, -0.366) U (1.366, 2).

Domain and range

Domain: Set of values of the input of the function, hence the values of x in the graph of the function.Range: Set of values of the output of the function, hence the values of y in the graph of the function.

This function is defined(values of x) for all real values and also assumes all real values(values of y), hence both the domain and the range are of the function are given by the interval (-∞,∞).

Increasing and decresing

From the graph, the function is classified as decreasing or increasing according to the direction of movement in the graph, as follows:

Decreasing: Right and down.Increasing: Right and up.

Hence the intervals are given as follows:

Increasing: (-0.366, 1.366) U (2, ∞).Decreasing: (-∞, -0.366) U (1.366, 2).

Relative maximum and relative minimum

The relative minimum is when the graph of the function changes from decreasing to increasing, hence it is at these two following points:

(-0.366, -5.848) and (2,-1).

The relative maximum is when the function changes from increasing to decreasing, hence it is at this following point:

(1.366, -0.652).

End behavior

The end behavior of the function is given by the limits of the function when x go to infinity, looking to the left and to the right of the graph of the function, hence:

Left: Moves up, hence as x -> -∞, f(x) -> ∞.Right: Moves up, hence as x -> ∞, f(x) -> ∞.

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The manager at the local auto shop has found that the probability that a car brought into the shop requires an oil change is 0.68, the probability that a car brought into the shop requires brake repair is 0.32, and the probability that a car requiresboth anoil change and brake repair is 0.11. For a car brought into the shop, determine the probability that the car will require an oil change or brake repair.The probability that the car requires an oil change or brake repair is

Answers

Remember that

P(A or B)=P(A)+P(B)-P(A and B)

In this problem, we have that

Event A and Event B are not independent

we have

P(A)=0.68

P(B)=0.32

P(A and B)=0.11

substitute

P(A or B)=0.68+0.32-0.11

P(A or B)=0.89

The answer is 0.89

An architect plans to buy 5 stone spheres and 3 stone cylinders. For the same amount, he can buy 2 stone spheres and 7 stone cylinders. If one stone cylinder costs $32.73 how much does
each stone sphere cost?

Answers

Answer:

Each stone sphere costs $43.64

Step-by-step explanation:

Let the cost of stone sphere is s and stone cylinder is c.

According to question we have equation:

5s + 3c = 2s + 7c

Solve it for s:

5s - 2s = 7c - 3c3s = 4c

Substitute the value of c:

3s = 4*32.733s = 130.92s = 130.92/3s = 43.64

The two angles pictured below are vertical angles.

Two lines intersect. The vertical angles measure eighty-four degrees and eight times x minus twelve.
What is the value of x?

Answers

The value of x in the vertical angles is 12.

What are vertically opposite angles?

When two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles.

In other words, vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.

Vertically opposite angles are congruent.

Therefore, the vertical angles measures 84 degrees and 8x - 12.

Let's find the value of x using the principle of vertically opposite angles.

Therefore,

84 = 8x - 12

add 12 to both sides of the equation

84 + 12 = 8x - 12 + 12

96 = 8x

divide both sides by 8

x = 96 / 8

x = 12

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What is the answer to this question

Answers

The angles are which alternate exterior angles include the following: A. ∠XWY and ∠STR.

What are parallel lines?

Parallel lines can be defined as two (2) lines that are cut through by a transversal and they always have the same (equal) distance apart and never meet.

What is the alternate exterior angle theorem?

The alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed lie outside the two (2) parallel lines, are located on opposite sides of the transversal, and are congruent angles.

In conclusion, we can logically deduce that both ∠XWY and ∠STR are alternate exterior angles because they lie outside the two (2) parallel lines and are located on opposite sides of the transversal.

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Question 1 3 pts Isis has 4.8 m of ribbon for crafts. She wants to share it evenly with 12 friends. How many centimeters of ribbon would 5 friends get?

Answers

We will investigate the equal distribution of ribbon amoung her friends.

Isis has a ribbon for crafts for a certain length ( L ):

[tex]L\text{ = 4.8 m}[/tex]

Isis has ( n ) number of friends amoung which she wants to equally distribute the length ( L ) of her ribbon:

[tex]n\text{ = 12}[/tex]

Under the assumption of equal distribution we can divide the total length of ribbon ( L ) amoung Isis ( n ) of friends to determine what length ( l ) each friend got:

[tex]\begin{gathered} l\text{ = }\frac{L}{n} \\ \\ l\text{ = }\frac{4.8}{12} \\ \\ l\text{ = 0.4 m or 40 cm} \end{gathered}[/tex]

So each friend of Isis got a piece of 40 cm length of the ribbon. So the length of the ribbon accumulated for 5 friends would involves the direct multiplication of 5 number of friends and length of each piece ( l ):

[tex]\begin{gathered} 5\text{ friends got = 5 }\cdot\text{ l} \\ 5\text{ friends got = 5 }\cdot\text{ 40} \\ 5\text{ friends got = }200\text{ cm} \end{gathered}[/tex]

Therefore, the answer to the question is:

[tex]200\text{ cm}[/tex]

Select the correct answer.
Function g is a transformation of the parent cosine function such that g(x) = 3 cos (x + 2) + 1. Which graph represents function g?

Answers

Option C gives the graph of Function g is a transformation of the parent cosine function such that g(x) = 3 cos(x + 2) + 1 as it the graph of cosine function.

What is cosine function?

The ratio between the adjacent side and the hypotenuse is known as the cosine function (or cos function) in triangles. One of the three primary trigonometric functions, cosine is the complement of sine (co+sine) and one of the three main trigonometric functions.

What is Graph?

A graph is a structure that resembles a set of objects in mathematics, more specifically in graph theory, in which some pairs of the objects are conceptually "related." The objects are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Choice C provides a graph of the parent cosine function is transformed into function g such that g(x) = 3 cos(x + 2) + 1 on the cosine function graph.

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Answer:

see photo

be sure to look closely, the top curves go to 4 and the bottom goes to -2, there are 2 with this same shape but the other one does not go high enough.

Step-by-step explanation:

Plato/Edmentum

The table shows a proportional relationship.


x 12 8 24
y 3 2 6


Describe what the graph of the proportional relationship would look like.
A line passes through the point (0, 0) and continues through the point (3, 12).
A line passes through the point (0, 0) and continues through the point (2, 8).
A line passes through the point (0, 0) and continues through the point (6, 24).
A line passes through the point (0, 0) and continues through the point (12, 3).

Answers

A graph which best describes what the proportional relationship would be D. A line that passes through the point (0, 0) and continues through the point (12, 3).

What is a graph?

In Mathematics, a graph is used to graphically represent data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis respectively.

Additionally, a graph which shows a proportional relationship between two variables would always have a straight line with its data points passing through the origin (0, 0).

Since the graph represents a proportional relationship we will get;

Constant of proportionality, we get;

k = 12/3 = 8/2 = 24/6

k = 4

Ratio,

24:6

= 12:3.

Therefore, A line that passes through the point (0, 0) and continues through the point (12, 3).

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Find the union, AUB, for of the following pair of sets. Enter "DNE" for the empty set.A = (-∞, - 5], B = [5, ∞)

Answers

Given

Two sets A = (-∞, - 5], B = [5, ∞)

Find

union, AUB

Explanation

Union of two sets A and B is the set of all elements that are present in A or in B

so , here A = (-∞, - 5], B = [5, ∞)

then union of set A and B is given by

[tex]A\cup B=(-\infty,-5]\cup[5,\infty)[/tex]

Final Answer

Therefore., the union of A and B is (-∞, - 5] U [5, ∞)

PLSS HELP I NEED ASAP

Answers

Answer:

m = -5

n = -2

Step-by-step explanation:

5m + 6n = -37

10m + 4n = -58 multiply first equation by -2

-2 × 5m + 6n = -37

-10m + (-12n) = 74 now add two equations up

10m - 10m + 4n - 12n = 74 - 58 add/ subtract like terms

-8n = 16 divide both sides by -8

n = -2

to find the value of m, replace n with -2 in the first equation

5m + 6*(-2) = -37

5m - 12 = -37 add 12 to both sides

5m = -25 divide both sides by 5

m = -5

2,048 rounded to the nearest tenth?

Answers

answer to the question that you have

2,048.0

2050 because

1-9 = ones place

10-99 = tenth place

100-999 = hundrends place

1000 - 999999 - thousands place

and you round to the nearest 0 if it is 5 or up and if it is 1 to 4 it stays the same

given the domain {-2,2,4} what is the range for relation 3x+y=3a (-9,3,9)b (9,-3,-9)c (-3,9,15)d (0,5,7)

Answers

the relation is 3x + y = 3

so,

y = 3x - 3

the domain is the values of x

so, substitute with each value of {-2,2,4} at the last equation of y

when x = -2 , y = 3*-2 - 3 = -6 - 3 = -9

when x = 2 , y = 3 * 2 - 3 = 6 - 3 = 3

when x = 4 , y = 3 * 4 - 3 = 12 - 3 = 9

so, the range will be {-9 , 3 , 9}

The correct answer is option a. (-9,3,9)x

Find the value of x in each case.



Not rlly sure how to make the equation, i tried it a couple times and got the answer wrong

Pls help and ill reward Brainly thing

Answers

Not 100% for sure if this is correct…

X=32.75
X=80

Tanya is training a turtle for a turtle race. For every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile. At what rate is the turtle crawling in miles per hour

Answers

If Tanya is training a turtle for a turtle race. For every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile. The  rate that  the turtle is crawling in miles per hour is:  0.2 miles /hour .

Determining the Unit rate per mile

Given data:

1/2 of an hour  =  1/20 of a mile

Now let determine the unit rate

Unit rate that the turtle is crawling is: (1/20)/(1/2)

Hence,

Unit rate  = (1/20)×(2/1)

Unit rate  = 2/20 miles/hour

Unit rate = 0.2 miles /hour

Therefore the rate is 0.2 miles per hour.

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If for every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile. then 0.1mile/ hour is the rate at which turtle travel per hour.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that,

A turtle is trained by Tanya,

For every 1/2 of an hour that the turtle is crawling, he can travel 1/20 of a mile.

We need to find at what rate the turtle is travelling per hour.

Let x be the distance travelled by turtle in hour.

1/20/1/2=x/1

Apply cross multiplication

x/2=1/20

x=2/20

x=0.1 miles / hour

Hence 0.1 miles per hour is the turtle travelling per hour.

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M/4 + q ; m=2/3 , and q= 1/4 ________ is a form of distribution aimed at having a product available in every outlet where target customers might want to buy it. -Exponential and Logarithmic Functions- Solve the following, round the answer to the nearest hundredth. Which is 56,900,000 in scientific notation?o 5.69 x 10o 56.9 x 10o 5.69 X 10o 56.9 X 10 how many 33 cm squares would fit in a 46 inch rectangle Match each expression on the left with its sum on the right. Some answer options on the right will not be used. What does this passage imply about cousin? he really wants to help everyman, but he is too injured. He does not believe he is honest enough to go with everyman. He is making excuses to avoid accompanying everyman. He is a very devout man and would help everyman if he could. Look at the replies and identify what question was used to reach that answer.1. ____________ estudiantes hay en la clase?Hay 30 estudiantes.2. ___________ ests nerviosa?Porque hay una prueba hoy.3. ____________ es Leonor?Es de Nicaragua.4. ___________ hojas de papel hay en la mesa?Hay 5 hojas.5. ___________ ests?Estoy en clases.6. ___________________ es tu profesor?Es muy serio.7. ____________ vas en clase?Voy el lunes, mirocoles y viernes.8. _____________ es tu profesora?Es la seora Weeks9. _______________ es el marcador?Es el marcador de Elena.10. ______________ vas?Voy a la biblioteca. numbers in order from greatest to least 1/5 0.12 0.17 There is a ball of fresh fruit at the top of a small cliff that is 45 m high. The fresh fruit baskets mass is 10kg's. Identify the energy (PE or KE) and calculate the it. Suppose the mean income of firms in the industry for a year is 95 million dollars with a standard deviation of 17 million dollars. If incomes for the industry are distributed normally, what is the probability that a randomly selected firm will earn less than 112 million dollars? Round your answer to four decimal places. Which of the following is/are not a condition affecting the Hardy-Weinberg equilibrium?Recessive traitsGenetic driftMutationNatural selection in february 1955, a paratrooper fell 370 m from an air- plane without being able to open his chute but happened to land in snow, suffering only minor injuries. assume that his speed at im- pact was 56 m/s (terminal speed), that his mass (including gear) was 85 kg, and that the magnitude of the force on him from the www.engineeringbookspdf problems 249 12.0 m/s and angle u1 35.0. just after, it is traveling directly upward with velocity of magnitude 10.0 m/s. the duration of the collision is 2.00 ms. what are the (a) magni- v : 2 snow was at the survivable limit of 1.2 105 n. what are (a) the minimum depth of snow that would have stopped him safely and (b) the magnitude of the impulse on him from the snow? Solve the system using the elimination method. State your final answer as an ordered pair. DO NOT include any spaces in your answers. nomar is considering the purchase of an $18,000 car. he plans finance 80% of the value of the car (he will put down 20% at the time of purchase) and is offered five-year financing at 7%. what will be his monthly payment if financed with a 7% simple interest installment loan? Question 2 (1 point)In a worksheet, the vertical spaces with headings A, B, C, and so on.columnscellsrowslabels A park meadow is planted with wildflowers. The Parks Department plans to extend the length of the rectangular meadow by x meters. Which expressions represent the total area, in square meters, after the meadow's length is increased? Select all that apply. 15. A 310 + x B 15.5(20x) C 20x + 15.5 D 15.5x + 310 E 15.5(20 + x) F 35.5 + x Ilse the distributi Mari pushed a cube- shaped box to explore force. She examined the attributes of the box. Does a face of her box have a right angle? Explain "Few American fortunes will support a woman who is above the calls ofher family" - "Dignity of Labor" 1842Choose the statement that is best supported by the evidence aboveWages in 1842 were high for workersO Wages in 1842 were low for workersA single wage in 1842 could sustain a familyA single wage in 1842 could not sustain a familyThis a required question*0 points describe and state a situation where you can apply the concepts of point, line, and plane in real-life situation