PLEASE HELP THIS IS MY LAST TEST QUESTION!!!14x^5y^4+21x^3y^2/7x^3y

Answers

Answer 1

Answer: =2x²y³+3y.

Step-by-step explanation:

[tex]\frac{14x^5y^4+21x^3y^2}{7x^3y} =\frac{7x^3y*(2x^2y^3+3y)}{7x^3y}= 2x^2y^3+3y.[/tex]


Related Questions

What value of m satisfies the equation
m-2=2-m?

Answers

Answer:

m = 2

Step-by-step explanation:

m - 2 = 2 - m

2m = 4

m = 2

Hello,

Answer: m = 2

Step-by-step explanation:

       m - 2 = 2 - m

⇔ m - 2 + m = 2 - m + m

⇔ 2m - 2 = 2

⇔ 2m - 2 + 2 = 2 + 2

⇔ 2m = 4

⇔ 2m/2 = 4/2

m = 2

What is b and c in this expression?
[tex]\sqrt[4]{15^7} }[/tex]

Answers

The value of b and  c is 4 and 7.

What is algebra?

Algebra is the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Algebra is divided into different sub-branches such as elementary algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra.

Elementary algebra: elementary algebra, branch of mathematics that deals with the general properties of numbers and the relations between them. Algebra is fundamental not only to all further mathematics and statistics but to the natural sciences, computer science, economics, and business.

From the given question,

[tex]\sqrt[4]{15^7}[/tex] This expression can also be written in the form of [tex]a^\frac{b}{c}[/tex]

We will convert [tex]\sqrt[4]{15^7}[/tex] to the required form:

[tex](15^\frac{7c}{4b} )\left \{ {{a=15^\frac{7c}{4b} } \atop {b=b} , c = c} \right.[/tex]

Hence,

From the above equation we get the value of b and c is 4 and 7.

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anybody can help me?

Answers

The proportional graph that corresponds to M = 3n is: Graph C.

What is a Proportional Graph?

The constant of proportionality, k, of a proportional graph is given as, y/x. The graph is expressed by the equation, y = kx.

The equation given, M = 3n, represents a proportional relationship where k = 3.

Using a point on graph C, (400, 1,200):

k = 1,200/400

k = 3

Therefore, the graph that corresponds to the situation is: C.

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The graph of f(x) consists of 14 points. Six of the points lie in Quadrant I of the coordinate plane. If f(x) is an odd function,
what is the greatest number of points that can lie in Quadrant II?
O one
O two
O six
O eight

Answers

If f(x) is an odd function, the greatest number of points that can lie in Quadrant II is 1

How to determine the number of points?

The given parameters are:

Function f(x) = Odd function

Points in quadrant IV

The number of points in the upper quadrants is:

Upper = 14/2

This gives

Upper = 7

The upper quadrants are I and II

This means that:

I + II = 7

So, we have:

6 + II = 7

Subtract 6 from both sides

II  = 1

Hence, the greatest number of points that can lie in Quadrant II is 1

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Draw the image of the figure under the given rotation. Triangle PQR; 90 degrees about the the origin. Number 2 :)

Answers

The attached figure represents the image of the triangle under the rotation

How to draw the image of the triangle?

The coordinates of the triangle are given as:

P = (2, 1)

Q = (4, 1)

R = (4, -3)

The rule of 90 degrees rotation about the origin is:

(x, y) = (y, -x).

So, we have:

P' = (1, -2)

Q' = (1, -4)

R' = (-3, -4)

See attachment for the figure under the rotation

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In triangle QRS, QR = 8 and RS = 5. Which expresses all possible lengths of side QS?
QS = 13
5 < QS < 8
QS > 13
3 < QS < 13

Answers

The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The length of QS can lie between 3 < QS < 13.

What is the triangle inequality theorem?

The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

(a+b) > c(b+c) > a(c+a) > b

As per the given law of triangle inequality, the sum of the two sides of the triangle is greater than the third side.

x + 8 > 5

x > -3

x + 5 > 8

x > 3

8 + 5 > x

13 > x

Hence, the length of QS can lie between 3 < QS < 13.

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is x/3 = 5/6, then x =​

Answers

⅓X=5/6
X=(5/6)/⅓
=5/2
you divide the denominator so it would be 5/2

Which of the following is the difference of two squares? (Answers below)

Answers

Answer:

c and d, because they both have 2 squares


SATQuestion:




The scatterplot below shows the amount of electric energy generated, in millions of megawatt hours, by nuclear sources over a 10-year period.

\bigstar★ Scatterplot in the attachment....

Of the following equations, which best models the data in the scatterplot?

A) y = 1.674x² + 19.76x - 745.73
B) y = -1674x2 - 19.76x - 745.73
C) y = 1.674x² + 19.76x + 745.73
D) y = -16743+ 19.76x + 745.73

Please answer with proper explanation and workout. Spam, Vulgar and short answers will be deleted at the spot✓.​

Answers

The equation which best models the data in the scatterplot is: D. y = -16743x² + 19.76x + 745.73.

How to interpret the scatter plot?

By critically observing the scatter plot shown in the image attached below, we can logically deduce that it's data are best modelled by a quadratic equation (parabolic curve).

Mathematically, the equation of a quadratic equation (parabolic curve) is given by:

y = ax² + bx + c

Since the parabolic curve opens downward, we have:

a < 0, c > 0, x = 0 and y > 0;

y = -16743x² + 19.76x + 745.73.

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I’m what quadrant does theta lie if the following statements are true? Sec(theta)<0 and (sec (theta) )(csc (theta) ) > 0

Answers

Because the cosine and sine must be negative when evaluated in theta, the angle lies on the third quadrant.

In which quadrant is the endpoint of the segment that defines the angle?

We know that if:

cos(θ) > 0, then we are on the first or fourth quadrantsin(θ) > 0, then we are on first or second quadrant.

Here we know that:

sec(θ) < 0

And we know that:

sec(θ)  = 1/cos(θ)

Then we have cos(θ) < 0

We also have that:

sec(θ)*csc(θ) > 0

Because sec(θ) < 0, we must have that csc(θ) < 0.

Remember: csc(θ) = 1/sen(θ)

Then sen(θ) < 0.

Then we have the two conditions:

sen(θ) < 0

cos(θ) < 0

The cosine is negative on the third and second quadrants.The sine is negative on the third and fourth quadrants.

The only quadrant where both are negative is the third quadrant, so that is the correct option.

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PLS QUICK I ONLY HAVE 2 HOURS

Answers

Answer:

D

Step-by-step explanation:

As you can observe from the pattern, the numerator gets multiplied by 4 every increase in the sequence.

So , clearly, the 5th term will be = [tex]\frac{64*4}{5} =\frac{256}{5}[/tex]

and the 6th term will be = [tex]\frac{256*4}{5} =\frac{1024}{5}[/tex]

Therefore , D will be the answer.

Suppose Z has a standard normal distribution with a mean of 0 and a standard deviation of 1. 27% of the possible Z values are smaller than __________.

Answers

Suppose Z has a standard normal distribution with a mean of 0 and a standard deviation of 1. 27% of the possible Z values are smaller than  0.613.

The standard normal distribution, also known as the z-distribution, is a special normal distribution with a mean of 0 and a standard deviation of 1. The normal distribution can be standardized by converting its value to a z-score. The Z-score indicates how many standard deviations each value has from the mean.

The standard normal distribution (z distribution) is a normal distribution with a mean of 0 and a standard deviation of 1. Each point (x) of the normal distribution can be converted to the standard normal distribution (z) using the equation z = (x-mean) / standard deviation.

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A triangle is translated by using the rule (x,y) (x-4,y+2) which describes how the figure is moved ?

Answers

Answer:

4 units to the left and 2 units up.

Step-by-step explanation:

To find the explanation of the translation using the rule (x,y) (x-4, y+2) you need to know what a translation is.

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

The x is on the horizontal axis, so your moving -4 quadrants to the left.

The y is on the vertical axis, so your moving 2 upwards.

So, you would move -4 left, and 2 upwards.

Mrs. Ibarra wants to create a right triangle for a geometry test. She plans to use 15, 36, and 41 as side lengths.

Select the four true statements regarding the side lengths Mrs. Ibarra chose.
15 + 36 greater-than 41, so the side lengths will form a triangle.
15 + 36 not-equals 41, so those lengths will not form a triangle.
15 squared + 36 squared = 1,521
41 squared = 1,681
Since a squared + b squared not-equals c squared, it will not be a right triangle.
15 squared + 36 squared = 297
41 squared = 82

Answers

Answer:

See below.

Step-by-step explanation:

Sides: 15, 36, 41

True: 15 + 36 greater-than 41, so the side lengths will form a triangle.

True: 15 squared + 36 squared = 1,521

True: 41 squared = 1,681

True: Since a squared + b squared not-equals c squared, it will not be a right triangle.

Answer:

A) 15 + 36 greater-than 41, so the side lengths will form a triangle.

C) 15 squared + 36 squared = 1,521

D) 41 squared = 1,681

E) Since a squared + b squared not-equals c squared, it will not be a right triangle.

Proof:

Part 1. Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are inverses.

f(x)=
x+a
b

g(x)=cx−d

Part 2. Show your work to prove that the inverse of f(x) is g(x).

Part 3. Show your work to evaluate g(f(x)).

Part 4. Graph your two functions on a coordinate plane. Include a table of values for each function. Include five values for each function. Graph the line y = x on the same graph.

Task 2
Part 1. Create two radical equations: one that has an extraneous solution, and one that does not have an extraneous solution. Use the equation below as a model:

a√x+b+c=d

Use a constant in place of each variable a, b, c, and d. You can use positive and negative constants in your equation.

Part 2. Show your work in solving the equation. Include the work to check your solution and show that your solution is extraneous.

Part 3. Explain why the first equation has an extraneous solution and the second does not.

Answers

See below for the solution to the inverse function and the rational equation

The function and the inverse

Create functions f(x) and g(x)

The functions are given as:

f(x) = x + a/b

g(x) = cx − d

Let a = 4 and b = 2.

So, we have:

f(x) = x + 4/2

Rewrite as:

y = x + 2

Swap x and y

x = y + 2

Make y the subject

y = x - 2

So, we have:

g(x) = x - 2

So, the functions are:

f(x) = x + a/b ⇒ f(x) = x + 4/2

g(x) = cx − d ⇒ g(x) = x - 2

Show that the functions are inverse functions

In (a), we have:

f(x) = x + 4/2

g(x)= x - 2

If the functions are inverse functions, then:

f(g(x)) = x

We have:

f(x) = x + 4/2

This gives

f(g(x)) = g(x) + 4/2

This gives

f(g(x)) = x - 2 + 4/2

Evaluate

f(g(x)) = x

Evaluate g(f(x))

In (a), we have:

f(x) = x + 4/2

g(x)= x - 2

We have:

g(x)= x - 2

This gives

g(f(x)) = f(x) - 2

This gives

g(f(x)) = x + 4/2 - 2

Evaluate

g(f(x)) = x

Graph the functions

See attachment for the graph

The table of values is:

x    f(x)    g(x)

0    2     -2

1     3      -1

2    4       0

3    5      1

4    6      2

Radical equations

Create the equations

The form of the equations is given as:

[tex]a\sqrt{x + b} + c= d[/tex]

So, we have:

[tex]\sqrt{4x + 5} + 1 = 0[/tex] --- has extraneous solution

[tex]2\sqrt{3x - 1} + 2 = 8[/tex] --- has no extraneous solution

The equation solution

Equation 1 with extraneous solution

[tex]\sqrt{4x + 5} + 1 = 0[/tex]

Subtract 1 from both sides

[tex]\sqrt{4x + 5} = -1[/tex]

Square both sides

4x + 5 = 1

Evaluate the like terms

4x = -4

Divide by 4

x = -1

Substitute x = -1 in [tex]\sqrt{4x + 5} + 1 = 0[/tex] to check

[tex]\sqrt{4(-1) + 5} + 1 = 0[/tex]

[tex]\sqrt{-4 + 5} + 1 = 0[/tex]

[tex]\sqrt{1} + 1 = 0[/tex]

Evaluate the root

[tex]1 + 1 = 0[/tex]

[tex]2= 0[/tex] --- false

Equation 2 without extraneous solution

[tex]2\sqrt{3x - 1} + 2 = 8[/tex]

Subtract 2 from both sides

[tex]2\sqrt{3x - 1} = 6[/tex]

Divide by 2

[tex]\sqrt{3x - 1} = 3[/tex]

Square both sides

3x - 1 = 9

Evaluate the like terms

3x = 10

Divide by 3

x = 10/3

Substitute x = x = 10/3 in [tex]2\sqrt{3x - 1} + 2 = 8[/tex] to check

[tex]2\sqrt{3 * \frac{10}{3} - 1} + 2 = 8[/tex]

[tex]2\sqrt{10 - 1} + 2 = 8[/tex]

[tex]2\sqrt{9} + 2 = 8[/tex]

Evaluate the root

[tex]2*3 + 2 = 8[/tex]

[tex]8 = 8[/tex] --- true

Why the equations have (or do not have) an extraneous solution

The first equation has an extraneous solution because the solution is false for the original equation and the second does not have an extraneous solution because the solution is true for the original equation

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what is the area of the shaded region?

Answers

Area of Composite Shapes

To find the area of composite shapes, we can break the bigger shape down into small, simpler shapes, and find the sum of their areas.

For this triangle, we will need to know the formula to find the area of a triangle:

[tex]A=\dfrac{1}{2}bh[/tex]

Solving the Question

The given shape can be seen as one large triangle with a little triangle cut out of it. To find the shaded region, we can:

Find the area of the large triangleFind the area of the little triangleSubtract the area of the little triangle from the large triangle

Area of the Large Triangle

[tex]A=\dfrac{1}{2}bh[/tex]

⇒ Plug in the values given for the base and height:

[tex]A=\dfrac{1}{2}(5)(2+4+6)\\\\A=\dfrac{1}{2}(5)(12)\\\\A=(5)(6)\\\\A=30 mm^2[/tex]

Area of the Small Triangle

[tex]A=\dfrac{1}{2}bh[/tex]

⇒ Plug in the values given for the base and height:

[tex]A=\dfrac{1}{2}(3)(4)\\\\A=(3)(2)\\\\A=6mm^2[/tex]

Subtract the Area of the Small Triangle from the Area of the Large Triangle

[tex]30 mm^2-6mm^2\\=24mm^2[/tex]

Answer

The area of the shaded region is [tex]24mm^2[/tex].

You should be able to find this
without a calculator.
cos(cos-¹ 0.3) = [?]

Answers

Hello:

Let's consider this problem in steps:

Let's gather some information:

 cosine and arccosine cancel each other out in this case

Now let's apply our knowledge to solve the problem:

  [tex]\rm \hookrightarrow cos(cos^{-1}0.3) = 0.3[/tex]

Answer: 0.3

Hopefully that helps!

 

[tex]\frak{Hi!}[/tex]

                      [tex]\large\text{Related Concept-:}[/tex]

                     [tex]\boxed{\begin{minipage}{10cm} \sf{If\;you\;take\;the\;inverse\;cosine}\\ \;of\;a\;number,\;and\;then\;take\; its\;cosine,\;don't\;you\;get\;the\;number \\ you started with? \end{minipage}}[/tex]

                        Clarification

The inverse cosine and the cosine are operations that undo each other.

This being said, let's solve our problem.

[tex]\bf{cos(cos^{-1}\;0.3)=0.3[/tex], based on what I said above

[tex]\cal{CALLIGRAPHY}[/tex]

A construction company prepares an
estimate to install a new pool for a home-
owner. The estimate includes h hours of
labor, where h>80. The company's goal
is for the estimate to be within 8 hours
of the actual number of hours of labor. If
the company meets the goal and it takes
a hours of actual labor, which inequality
represents the relationship between the
estimated number of hours of labor and
the actual number of hours of labor?
A) a+h≤8
B) a2h+8
C) ash-8
D) -8≤a-h≤8

Answers

The equation that represents the relationship between the estimated number of hours of labor and the actual number of hours of labor is D. -8≤a-h≤8.

How to illustrate the equation?

From the information given, the estimate includes h hours of labor, where h>80 and the company's goal is for the estimate to be within 8 hours of the actual number of hours of labor.

Here, the equation that represents the relationship between the estimated number of hours of labor and the actual number of hours of labor is -8≤a-h≤8.

In conclusion, the correct option is D.

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Solve for all of the missing angles in the rhombus below, given that m∠3 = 54°. (Round to the nearest tenth as needed.)

Answers

The measure of angles 1, 2, 4, and 5 are 54 degrees, 90 degrees, 36 degrees, and angle 36 degrees.

What is a rhombus?

A rhombus is a two-dimensional shape having four parallel opposite pairs of straight, equal sides. This shape resembles a diamond and is what you'd find on a deck of cards to represent the diamond suit. Rhombuses can be encountered in a variety of common situations.

We have shown the rhombus in the picture.

As we know the diagonals bisect at a 90-degree angle.

So angle 2 = 90 degree

angle 1 = angle 3

angle 1 = 54 degrees

angle 1 + angle 2 + angle 5 = 180

54 + 90 + angle 5 = 180

angle 5 = 36 degrees

angle 5 = angle 4 = 36 degrees

Thus, the measure of angles 1, 2, 4, and 5 are 54 degrees, 90 degrees, 36 degrees, and angle 36 degrees.

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I WILL MARK BRAINLIEST A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 20 child bikes and 6 adult bikes in a week.

Answers

Using a system of equations, it is found that since 20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable c: number of child bikes.Variable a: number of adult bikes.

Each child bike requires 4 hours to build, as do each adult bike. The company has 100 hours of testing, hence:

4c + 4a = 100.

c + a = 25.

With 20 child bikes and 6 adult bikes in a week, we have that c = 20, a = 26, hence:

c + a = 26

20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.

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suppose it costs $45 to attend a concert where the band plays for 1.5 hours.

a. what was the cost to attend the concert per hour?
b. what was the cost to attend to the concert per minute
make sure to show your work

Answers

Answer

$30 minutes per hour

$0.5 per minute

Step-by-step explanation:

45/1.5=30

45/90=0.5

why do angles formed by drawing lines from the ends of the diameter of a circle to its circumference form a right angle ?

Answers

Because the lines drawn are straight.

Explanation:

When the straight lines join together, the original point from where the first line started, becomes a right angle (90°)

help me please please please!!!

What formula should be used to calculate an unknown side of a right angled triangle
when the hypotenuse (c) and one other side (b) are known?

a) Oa^2 = b^2-c^2

b) Oa^2 = c^2 + b^2

c) Oa^2 = c^2-b^2

d) Oc^2 = a^2 - b^2

e) Oc^2 = b^2- a^2

Answers

C is the correct answer

because it would be the hypotenuse c squared minus the side b squared

The sum of a squared plus b squared equals c squared

Answer:

c) Oa^2 = c^2-b^2

Step-by-step explanation:

the formula of finding hypotenuse (c) is

c^2 = a^2 + b^2

that means c^2 - b^2 = a^2

a^2 = c^2 - b^2.

Help please!
A vocational school admits 4 out of every
10 people who apply for admission. One
year, 640 students were admitted. How
many people applied for admission?

Answers

Answer:

319

Step-by-step explanation:

i am really not sure but i believe so i hope it is the right answer

Answer:

1600 people

Step-by-step explanation:

This is a ratio problem. We can set up the proportion by letting x be the number of people who applied for admission:

[tex]\frac{4}{10}=\frac{640}{x}[/tex]

Since we know that 4 people get in for every 10 people that apply, we can set up an equation like the one above and solve for x by cross multiplying:

[tex]6400=4x\\x=1600[/tex]

This means that 1600 people applied for admission to the vocational school.

The figure shown is a regular octagon. The measure of
What is the measure of

Answers

Answer:

135°

Step-by-step explanation:

X is also 135°    as is S  , T  U , V, W and Y

Answer:

b)135°

Step-by-step explanation:

The value of an interior angle of 135° is appreciated

In a regular polygon all interior angles are equal

Angle x = 135°

Hope this helps

Sarita makes a conical hat out of stiff felt. She packs the hat into the box so that the edge of the base just touches all four edges of the box and the tip of the hat touches the top of the box. The box is a rectangular prism that is 16 by 16 by 15 centimeters. How much material was used to create the hat? Round to the nearest tenth of a square centimeter

Answers

The material needed to make the hat is 3840 cm³.

How to find the volume of a rectangular prism?

The hat occupies the whole volume of the rectangular box. Therefore, the material needed to make the hat is the volume of the rectangular box it occupies.

Therefore,

volume of a rectangular prism = lwh

where

l =lengthw = widthh = height

Therefore,

l = 16 cm

w = 16 cm

h = 15 cm

volume of a rectangular prism = 16 × 15 × 16

volume of a rectangular prism = 3840 cm³

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fill in the blank 2 x 3/4 = _ + 3/4

Answers

According to multiplication you can use repeated addition to get the same product of the given equation.

Ex: 5x2= 2+2+2+2+2 ( 5 groups of 2)

Both will give you same answer (10).

Hence 2 x 3/4 = 3/4 + 3/4

Answer:

2 x 3/4 = 3/4 + 3/4

Step-by-step explanation:

Using a phone to drive people to Web-based survey instruments is known as a(n) online focus group. online theater system. hybrid survey. cybertracking tactic.

Answers

Answer:

Using a phone to drive people to web-based survey instruments is known as a hybrid survey.

Which conditional and its converse form a true biconditional?
If x = 19, then 2x – 3 = 35.

If x = 3, then x2 = 9.

If x2 = 4, then x = 2.

If x > 0, then > 0.

Answers

The conditional and its converse that form a true biconditional is; Option A;  If x = 19, then 2x – 3 = 35.

How to Interpret  Biconditional Statements?

A) If x = 19, then 2x – 3 = 35.

Thus, 2(19) - 3 = 35. Thus, this is a true biconditional.

B) If x = 3, then x²= 9.

This is not a true biconditional because x could also be -3.

C) If x² = 4, then x = 2

This is not a true biconditional because x could also be -2.

D) If x > 0, then |x| > 0.

This is not a true biconditional because x could also be negative which less than zero.

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If the probability of observing at least one car on a highway during any 20-minute time interval is 609/625, then what is the probability of observing at least one car during any 5-minute time interval

Answers

If the probability of observing at least one car on a highway during any 20-minute time interval is 609/625, then the probability of observing at least one car during any 5-minute time interval is 609/2500

Given The probability of observing at least one car on a highway during any 20 minute time interval is 609/625.

We have to find the probability of observing at least one car during any 5 minute time interval.

Probability is the likeliness of happening an event among all the events possible. It is calculated as number/ total number. Its value lies between 0 and 1.

Probability during 20 minutes interval=609/625

Probability during 1 minute interval=609/625*20

=609/12500

Probability during 5 minute interval=(609/12500)*5

=609/2500

Hence the probability of observing at least one car during any 5 minute time interval is 609/2500.

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I'm renting to own a house for $80,000. I paid down $6,000.00, leaving a balance of $74,000. For the past eight years Ive paid 768.57 a month. How much have I paid from May 2014 to July 2022? What is the main purpose of the second paragraph of this speech? (5 points)To state the author's demands for amendsTo demonstrate the importance of the situationTo provide a possible solution for the futureTo state the outcome of the war the speaker expects During an examination, a male patient has questions about the replacement of his missing teeth. The dentist finds that he is missing several teeth in the mandibular arch. The dentist also notes that the existing teeth have rampant decay, and the patient has severe periodontal disease that is affecting his entire oral cavity. What options does the patient have to replace the missing teeth in the mandibular arch? A(n) compromise law specifies a requirement for organizations to notify affected parties when they have experienced a specified type of loss of information. Add the missing apostrophes.Read the text below and add or remove apostrophes where appropriate. There are 3 errors to be corrected.In last months celebrity interview, Don Cole, a yogi with 30 years experience, wrote how regular yoga, "helps your tendons,muscles, and ligaments achieve full movement, whilst also improving your core strength." He also added that, "performingyoga regularly, no matter what sport you play, can improve your performance and reduce the chance of injuries. Finally, "Trto eat porridge and wholemeal toast for breakfast," says Cole, "as these will help to prevent spike's in both your mood andyour blood sugar levels." 1. You released a pendulum of mass 1kg from a height of 0.05m b. If the pendulum loses 18% of the initial energy by the time it reaches the bottom, how fast is it going when it reaches the bottom? c. If the pendulum loses another 7% of its remaining energy by the time it reaches the other side, how high up does it go? d. After a few minutes the pendulum is no longer swinging at all, explain why this happens in terms of energy? Which statement identifies a reason a federal minimum wage was first established? Small business owners sought to hire more people. Workers needed fair compensation for their labor. The federal government wanted to increase revenue. Corporations required more highly skilled professionals. What does William Wordsworth mean by "wealth" in the following bolded line? Question 8 of 10If a reader wants to evaluate a text, which is the best question to ask whilereading it?O A. How long is this text, and how quickly does it get to the point?OB. Where else is there a text with similar goals that used differentelements?OC. When did the author of this text decide on its goals, and when didhe write it?OD. What are the goals of the text, and what elements help achievethose goals?SUBMIT A rectangle has a height of 7x^27x 2 7, x, squared and a width of 3x^2+8x+73x 2 +8x+73, x, squared, plus, 8, x, plus, 7. Express the area of the entire rectangle. Mr. Rosenberger asked his students to use the distributive property to rewrite the expression 18 (24) by using friendlier numbers. The table below shows the expressions that four students created.Expressions Created by StudentsStudentExpressionAaron10 + 8 times 4 + 20Brian10 + 8 (4 + 20)Cece18 (4 + 6)Diana18 (4 + 20)Which students expression is equivalent to 18(24)?AaronBrianCeceDiana In the year 1985, a house was valued at $106,000. By the year 2005, the value had appreciated to $146,000. What was the annual growth rate between 1985 and 2005? Assume that the value continued to grow by the same percentage. What was the value of the house in the year 2010? A tank containing water has walls 2.50 cm thick made of glass of refractive index 1.550. Light from the outside air strikes the glass at a 41.3o angle with the normal to the glass. Find the angle the light makes with the normal in the water. Paula has completed a mortgage application and provided evidence of employment, income, assets owned, and existing debt to the potential lending institution. Although Paula has not even begun the process of looking at possible homes to buy, she is eagerly awaiting news from the lender as to whether she has been approved for a mortgage. In what stage of the application process is she Read the following line and answer the question that follows.Tell you about it? Look here, I was a man once. Im a beast now, and they made me what I am. They chained me up like a wild animal.Which figure of speech has been used in the last line of the given excerpt?SimileMetaphorImageryPersonification Whats the correct answer answer asap for brainlist The average velocity of a plane during a flight was 9.0 m/s. How long did it take the plane to travel 5.0 km What adaptation of a cheetah is shown in the image?a cheetah running Brown color to blend in with the grass Long and strong legs to run fast Spots on the fur to keep warm Strong sense of smell to catch predators You buy a house on a small inland lake and your front lawn ends at the water's edge. A lawn care company representative suggests you fertilize the lawn to keep it lush and green. You agree to the treatment and then discover there is a major weed problem in the lake. The most likely cause of the weed problem is find the value of x