Simplify the expression

Simplify The Expression

Answers

Answer 1

The simplified expression is (z -3)/z - 5. Option C

How to simply the expression

From the information given, we have to simply the expressions by solving the quadratic equation;

From the information given, we have that;

z² -5zx + 6

Find the pair factors and substitute the values

z² - 2z - 3z + 6

Group in pairs, we have;

z(z - 2) - 3(z - 2)

For the denominator, we have;

z² - 7x + 10

Find the factors

z² - 5z - 2z + 10

Group in pairs, we have;

z(z - 5) - 2(z - 5)

Then, we have the simplified form;

(z -3)/z - 5

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Related Questions

This diagram shows a cube. Each edge of the cube is 13 units long. The diagonal of each face is x units long. The diagonal of the cube is y units long.


Find x and y. If necessary, round your answers to the nearest tenth.

Answers

The value of x is 18.4 and the value of y is 22.5 in the cube

Finding the values of x and y

From the question, we have the following parameters that can be used in our computation:

The diagram of a cube.

Each edge of the cube = 13 units.

The diagonal of each face is x units long

So, we have

x^2 = 13^2 + 13^2

Evaluate

x = 18.4

The diagonal of the cube is y units long.

So, we have

y^2 = 13^2 + 13^2 + 13^2

Evaluate

y = 22.5

Hence, the value of x is 18.4 and the value of y is 22.5


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Find the equation of a line parallel to 5x+y=5 that passes through the point (8,-9)

Answers

Answer:

y = -5x + 31

Step-by-step explanation:

To find the equation of a line parallel to the line 5x + y = 5, we first need to rearrange it in slope-intercept form, which is

y = -5x + 5. (We see that the slope of this line is -5)

A line parallel to this line will have the same slope of -5. Now, we need to find the equation of a line that passes through the point (8,-9) with slope -5.

We can use the point-slope form of the line to find the equation. The point-slope form of a line is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.

Substituting the values we have, we get:

y - (-9) = -5(x - 8)

Simplifying this equation, we get:

y + 9 = -5x + 40

y = -5x + 31

Therefore, the equation of the line parallel to 5x + y = 5 that passes through the point (8, -9) is y = -5x + 31.

how do i find the area of this shape?​

Answers

Answer:

(1/2)(12)(16) + (1/2)π(6^2)

= (96 + 18π) square cm

= about 152.55 square cm

Line t has equation y = -x - 2. Find the distance between l and the point D(-7, 0).
Round your answer to the nearest tenth.

Answers

the distance between line t and point D(-7, 0) is approximately 3.5 units.

what is distance  ?

Distance is a measure of the amount of space between two objects or points. It is usually measured in units such as meters, kilometers, miles, or feet. Distance can be either a scalar quantity

In the given question,

To find the distance between line t and point D(-7, 0), we need to first find the point on line t that is closest to point D.

We can use the formula for the distance between a point and a line in the coordinate plane:

distance = |Ax + By + C| / √(A^2 + B^2)

where Ax + By + C is the equation of the line in standard form, and (x, y) is the coordinates of the point.

In this case, the equation of line t is y = -x - 2, which we can rewrite in standard form as x + y + 2 = 0.

Using the formula above, we have:

distance = |x + y + 2| / √(1^2 + (-1)^2)

distance = |(-7) + 0 + 2| / √(2)

distance = 5 / √(2)

distance ≈ 3.5 (rounded to the nearest tenth)

Therefore, the distance between line t and point D(-7, 0) is approximately 3.5 units.

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The histogram below gives the distribution of test scores for a sample of
students in a school in Alaska. Approximately how many students received a
score between 70.5 and 80?

Answers

Answer:

B. 200 students

Step-by-step explanation:


What is the concentration of H+ ions at a pH = 7?
mol/L
What is the concentration of OH-ions at a pH=7?
mol/L
What is the ratio of H* ions to OH-ions at a pH = 7?
:1

Answers

The concentration of H⁺ ions at a pH of 7 is 1 x 10⁻⁷ M.

What is the concentration of the ion?

Ion concentration refers to the amount of ions that are present in a solution or a medium, expressed in terms of their concentration.

The concentration of ion with pH of 7 is calculated as follows;

pH = -log[H⁺]

[H⁺] = 10^(-pH)

The given pH = 7, so the ion concentration is calculated as;

[H⁺] = 10⁻⁷

[H⁺]  = 1 x 10⁻⁷ M

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Find the area of parallelogram WXYZ. Round your answer to the nearest tenth if
necessary.
21 in
18 in
21 in
23.2 in
23.2 in

Answers

Answer:

378in^2 i think

Step-by-step explanation:

The length if a photograph is 6 inches less than twice the width. The photograph is mounted in a frame that is 3 inches wide on all sides. If the area of the framed picture is 270 square inches, find the dimensions of the unframed photograph.​

Answers

Answer:

see below

Step-by-step explanation:

L = 2W-6

given: (L+3)*(W+3) = 270

so (2W-6+6)*(W+6) = 270

so 2W*(W+6) = 270

open up the brackets

2w²+12W = 270

so solve quadratic equations of 2w²+12W - 270 =0

w = 9 or -15

so dimensions of the unframed photograph = width 9, length 12

NO LINKS!!! URGENT HELP PLEASE!!

Edward opens a savings account with $250. The bank gives him an interest rate of 2.8% per year (simple interest). About how long will it take Edward to double his money? (SHOW WORK!!)

Equation: ___________________

Answer: __________________

Answers

Answer:

Equation:  250(1 + 0.028t) = 500

Answer:  36 years

Step-by-step explanation:

The equation we can use to solve this problem is the simple interest formula:

[tex]\boxed{A = P (1 + rt)}[/tex]

where:

A is the amount of money in the account after t years.P is the principal (initial amount).r is the interest rate per year (as a decimal).t is the time in years.

Given the initial investment is $250 at an interest rate of 2.8%, and Edward wants to double his money:

A = $500P = $250r = 0.028

Substite these values into the equation:

[tex]500=250(1+0.028t)[/tex]

Swap sides:

[tex]250(1+0.028t)=500[/tex]

Now solve for t:

[tex]\implies \dfrac{250(1+0.028t)}{250}=\dfrac{500}{250}[/tex]

[tex]\implies 1+0.028t=2[/tex]

[tex]\implies 1+0.028t-1=2-1[/tex]

[tex]\implies 0.028t=1[/tex]

[tex]\implies \dfrac{0.028t}{0.028}=\dfrac{1}{0.028}[/tex]

[tex]\implies t=35.71428571...[/tex]

Assuming the interest is applied annually on the anniversary of the account opening, it will take Edward 36 years to double his money with a 2.8% simple interest rate.

what’s answer

0.57
0.7
0.82
1.44

Answers

Answer:

Step-by-step explanation:

Sin O= opp/hyp

Sin 55 = BC/AB

Sin 55=.82

so

BC/AB=.82

Find the area of the following figure:

Answers

Answer: 61,6 in.

Step-by-step explanation:

To find the area of trapezoids with parallel bases, we add the length of the lower base to the length of the upper base.

[tex]12+10=22[/tex]

Then we multiply this value by the height.

[tex](5.6).22=123.2[/tex]

Finally, we divide the resulting value by [tex]2[/tex].

[tex]123.2/2=61.6[/tex]

Carmine takes a loan for $11,500 at a rate of 8% that is compounded quarterly. Assuming she makes no payments for the first 2 years, what is her loan balance?

Answers

Carmine's loan balance after two years would be approximately $13,827.72.

Define the term loan?

In mathematics, the term "loan" typically refers to a sum of money that is borrowed by one party from another with the agreement to repay it with interest over time. Loans are a common financial concept used in various areas of mathematics, such as finance, economics, and business.

What does compounded quarterly means?

"Compounded quarterly" refers to a method of calculating interest or investment growth where the interest is added to the principal and then reinvested or recalculated at the end of each quarter (every three months) within a given time period.

To calculate Carmine's loan balance after two years, we need to use the compound interest formula, which is given by:

A = P ×[tex](1+r/n)^{nt}[/tex]

Where:

A = the loan balance after t years

P = the initial principal amount (loan amount) = $11,500

r = annual interest rate = 8% or 0.08 (expressed as a decimal)

n = number of times interest is compounded per year = 4 (since it is compounded quarterly)

t = time in years = 2 (since Carmine made no payments for the first two years)

Putting the values into the formula, we get:

A = 11,500 × (1 + 0.08/4)⁸

A = 11,500 × (1 + 0.02)⁸

A = 11,500 × (1.02)⁸

A ≈ $13,827.72

So, Carmine's loan balance after two years would be approximately $13,827.72.

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A point moves along a curve y=2x^2 + 1 in such a way that the y value is decreasing at the rate of 2 units per second. At what rate is x changing when x= 3/2?

Answers

If the "y-value" is decreasing at rate of 2 units per second, the rate at which "x" is changing when x=3/2 is -1/3 units per second.

The point moves along a curve having equation as : y = 2x² + 1; and

We know that y is decreasing at a rate of 2 units per second. We have to find the rate at which "x" is changing when x = 3/2,

To solve this problem, we differentiate, the curve equation,

So, taking the derivative of both sides of the equation with respect to time "t",

We get,

⇒ d/dt (y) = d/dt (2x² + 1),

⇒ dy/dt = (4x) × dx/dt,

We are given that dy/dt = -2 (since y is decreasing at a rate of 2 units per second), and we need to find "dx/dt" when x = 3/2,

Substituting "x = 3/2" and "dy/dt = -2",

We get,

⇒ -2 = 4×(3/2)(dx/dt),

⇒ -2 = (6)×(dx/dt),

⇒ dx/dt = -1/3,

Therefore, the rate at which "x" is changing when x = 3/2 is -1/3 units per second.

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The given question is incomplete, the complete question is
A point moves along a curve y=2x² + 1 in such a way that the y value is decreasing at the rate of 2 units per second. At what rate is x changing when x= 3/2 ?

In January, the amount of snowfall was 5 2/3 feet. In February, the amount of snowfall was 3 1/5 feet. What was the amount of snowfall in the two months combined? Write your answer as a mixed number in simplest form.

Answers

Answer:

8 13/15

Step-by-step explanation:

Multiply the fractions so they both have the least common denominator:

5 2/3 = 5 10/15

3 1/5 = 3 3/15

Now, you can add the two mixed numbers:

[tex]5 \frac{10}{15} + 3 \frac{3}{15} = 8 \frac{13}{15}[/tex]

This is your final answer.

Evaluate the expression shown below and write your answer as a fraction. -5/9 -(-9/4)

Answers

Step-by-step explanation:

When we simplify the expression -5/9 - (-9/4), we can rewrite it as:

-5/9 + 9/4

To add these fractions, we need to find a common denominator. The least common multiple of 9 and 4 is 36, so we can convert both fractions to have a denominator of 36:

-5/9 = -20/36

9/4 = 81/36

Now we can substitute these values into our expression and add them:

-20/36 + 81/36 = 61/36

Therefore, the simplified expression is 61/36.

Please answer quickly!!! I'll give BRAINLIEST!!!!! I attached the picture.

Answers

Answer: No.

Step-by-step explanation:

The graph doesn't represent a linear, exponential, or quadratic function.

An example of a linear function is a straight line.

An example of a quadratic function is like a smile.

An example of an exponential function is a curved line.

So hence, this doesn't represent a function.

Reply below if you have any questions of concerns.

You're welcome!

- Nerdworm

Can someone please help me

Answers

The height of the Ferris wheel at point A is 100 ft.

The height of the Ferris wheel at  point B is 182.1 ft.

The height of the Ferris wheel at  point C is 39.9 ft.

What is the height of the Ferris wheel at each point?

The height of the Ferris wheel at each point is calculated as follows;

The height of a point on a circle; H = h + y

Where;

h is the height of the center of the circley is the vertical component of the point's position vector

H = h + rsinθ

where;

r is the radius of the circle.θ is the angle of rotation

For point A with θ = 0 radians;

H = 100 + 85 x sin (0)

H = 100 ft

For point B with θ = 7π/12 radians;

H = 100  + 85 x sin(7π/12)

H = 182.1 ft

For point C with θ = 5π/4 radians;

H = 100  + 85 x sin(5π/4)

H = 39.9 ft

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Write the following number in standard decimal form. one and ninety-six ten-thousandths 0 X​

Answers

The number "one and ninety-six ten-thousandths" can be written as 1.00096 in standard decimal form.

y = -x + 10 y = -x + 12

Answers

The solution to the given simultaneous equation y = -x + 10 ; y = -x + 12 is zero.

How to solve simultaneous equation?

y = -x + 10

y = -x + 12

Subtract both equations

y - y = -x -(-x) + 10 -12

0 = -x + x - 2

0 = 0 - 2

0 = -2

In conclusion, zero is the solution to the equation

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What is the area of a right triangle with a height of 6 1/4 yards and base of 22 yards

Answers

Answer:

The area should be 0.5 * b * h

Step-by-step explanation:

B stands for the base of the triangle and H is the height

15 postcards, 10 envelopes, and a notepad cost 1 dollar and 68 cents. The envelope is 8 times cheaper than the notepad and 2 cents more expensive than the postcard. What is the price of the postcard, the envelope, and the notepad?

Answers

Let's start by setting up some equations to represent the given information.

Let's say the price of a postcard is "x" cents.

Then, according to the problem statement, the price of an envelope is 8 times cheaper than the notepad, which means the price of an envelope is (1/8)th of the price of the notepad. So the price of an envelope is (1/8)*y cents, where "y" is the price of the notepad in cents.

Also, we know that the price of an envelope is 2 cents more expensive than the price of a postcard, so we can write:

(1/8)*y = x + 2 ...(Equation 1)

We also know that there are 15 postcards and 10 envelopes in the purchase, so the total cost of the postcards and envelopes is:

15x + 10[(1/8)*y] ...(Equation 2)

Finally, we have a notepad that costs "y" cents. So the total cost of the purchase is:

15x + 10[(1/8)*y] + y ...(Equation 3)

We are given that the total cost of the purchase is 1 dollar and 68 cents, which is equal to 168 cents. So we can write:

15x + 10[(1/8)*y] + y = 168 ...(Equation 4)

Now we have four equations (Equation 1, Equation 2, Equation 3, and Equation 4) with three variables (x, y, and 168). We can solve for x and y by using a system of equations.

From Equation 1, we can solve for y in terms of x:

(1/8)*y = x + 2

y = 8x + 16

Substituting this expression for y into Equations 2 and 3, we get:

15x + 10[(1/8)*y] = 15x + 10(8x + 16) = 160x + 160

15x + 10[(1/8)*y] + y = 15x + 8x + 16 = 23x + 16

Substituting these expressions into Equation 4, we get:

23x + 16 = 168

Solving for x, we get:

x = 6

Substituting this value for x into Equation 1, we can solve for y:

(1/8)*y = x + 2 = 6 + 2 = 8

y = 64

So the price of a postcard is 6 cents, the price of an envelope is (1/8)*64 + 2 = 10 cents, and the price of a notepad is 64 cents

Make a rap about why the kite is the best shape. Must be appropriate and at least 1 minute long. Giving brainless to whoever does it!!!!

Answers

Here is an attempt at an appropriately SFW 1 minute long rap about why the kite shape is the best:

The kite, soarin' high up in the sky,

Spreading colorful fabric far and wide.

There's no shape more perfect, this I must insist,

As it dances on the wind, ever blissful and lightly kissed.

Kite strings set it free, without any qualms,

Allowing it to float on high, away from harms.

Circling birds and beasts with graceful ease,

As a peaceful, wandering seas.

The kite shape is light but strong too,

Built to capture the breeze and soar true.

Diamond, square and box they can't compare,

To the kite so bright, beyond compare.

Many sizes to fit every quest,

From small pocket kites to giants they test.

Traditional or modern, simple or complex,

The kite is a form with many flexes.

Dragons and fighters, parafoils that stand,

On the beach or the park, across every land.

A kite for each mood and gusty seal,

As it dances and drifts from keel to keel.

So fly your kite up into the sun,

Some joyful moments, for now's the one.

Remember how free your kite did roam,

As a bird in the wind, and no longer alone.

The kite shape is art with physical grace,

Worth admiring for form, color and space.

There's magic up there among the open air,

As your kite soars high, beyond compare.

Here is an attempt at an appropriately SFW 1 minute long rap about why the kite shape is the best:

The kite, soarin' high up in the sky,

Spreading colorful fabric far and wide.

There's no shape more perfect, this I must insist,

As it dances on the wind, ever blissful and lightly kissed.

Kite strings set it free, without any qualms,

Allowing it to float on high, away from harms.

Circling birds and beasts with graceful ease,

As a peaceful, wandering seas.

The kite shape is light but strong too,

Built to capture the breeze and soar true.

Diamond, square and box they can't compare,

To the kite so bright, beyond compare.

Many sizes to fit every quest,

From small pocket kites to giants they test.

Traditional or modern, simple or complex,

The kite is a form with many flexes.

Dragons and fighters, parafoils that stand,

On the beach or the park, across every land.

A kite for each mood and gusty seal,

As it dances and drifts from keel to keel.

So fly your kite up into the sun,

Some joyful moments, for now's the one.

Remember how free your kite did roam,

As a bird in the wind, and no longer alone.

The kite shape is art with physical grace,

Worth admiring for form, color and space.

There's magic up there among the open air,

As your kite soars high, beyond compare.

it takes 2/3 of a gallon of paint to cover 3/4 of a wall. How many gallons of paint are needed to cover a full wall?

Answers

We can start by using a proportion to find the amount of paint needed to cover a full wall:

(2/3 gallons) / (3/4 of a wall) = (x gallons) / (1 full wall)

To solve for x, we can cross-multiply and simplify:

(2/3) / (3/4) = x / 1

2/3 * 4/3 = x

8/9 = x

Therefore, it takes 8/9 of a gallon of paint to cover a full wall.

A landscape architect is designing a pool that has this top view. How much water will be needed to fill this pool 4 feet deep?​

Answers

The amount(volume) of water that will be needed to fill the pool is 144 ft³.

What is volume?

Volume is the space occupied by a solid shape.

To calculate the amount(volume) of water that will be needed to fill the pool, we use the formula below

Formula:

V = H(LW-l²)........................ Equation 1

Where:

V = Volume of the water needed to fill the poolH = Height of the pool

From the diagram in the question,

Given:

H = 4 ftL = 8 ftW = 5 ftl = 2 ft

Substitute these values into equation 1

V = 4[(8×5)-(2²)]V = 4(40-4)V = 144 ft³

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Supplementary angles

Answers

ICJ

The supplementary angle adds up with the other angle to reach 180 degrees.

if anyone understands this could u help me out???

Answers

Answer: V=1578.28 m³

Step-by-step explanation:

Volume is given as the formula

[tex]V=\frac{2}{3}\pi r^{3}[/tex]

r, radius, is the line from the center point to any end of the semi-sphere(that's what this shape is called) Here they show radius as

r=9.1

Substitute r into the formula

[tex]V=\frac{2}{3}\pi (9.1)^{3}[/tex]    plug into calculator

V=1578.275    round to hundredths means 3 digits after the decimal point

V=1578.28  the number after the 7 is 5 or greater so you round up.

A police car is located 40 feet to the side of a straight road.

A red car is driving along the road in the direction of the police car and is 140 feet up the road from the location of the police car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 85 feet per second. How fast is the red car actually traveling along the road?

The actual speed (along the road) of the red car is feet per second

Answers

The actual speed (along the road) of the red car is 8.37 feet per second

To solve this problem

Let's call the distance between the police car and the red car "x" at time t. Then, we know that:

x^2 = 40^2 + (140 - vt)^2

Where

v is the velocity of the red car (in feet per second) t is time

We are given that dx/dt (the rate at which x is decreasing) is -85 ft/s, so:

d/dt [x^2] = d/dt [40^2 + (140 - vt)^2]

2x(dx/dt) = 0 - 2v(140 - vt)

Substituting dx/dt = -85 and solving for v, we get:

2x(−85) = −2v(140−vt)

−170x = −280v + 2v^2t

v^2t = 140v - (85/2)x

Now, we can differentiate the equation x^2 = 40^2 + (140 - vt)^2 with respect to time to get:

2x(dx/dt) = 2(140 - vt)(-v)

Substituting dx/dt = -85 and solving for x, we get:

-170x = -2v(140 - vt)

x = (140v - vt^2)/85

Substituting this expression for x into the equation we derived earlier, we get:

v^2t = 140v - (85/2)((140v - vt^2)/85)

v^2t = 140v - 70(2v - t^2)

v^2t = 140v - 140v + 70t^2

v^2t = 70t^2

v = sqrt(70t^2)/t = sqrt(70) = 8.37 ft/s (rounded to two decimal places)

Therefore, the actual speed (along the road) of the red car is 8.37 feet per second

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In physical education class, students get one sticker for each mile they walk and two stickers for each mile they run. Jenny earned nine stickers
and completed seven miles. What would the graph look like?

Answers

The graph of the equation is linear

Given data ,

In physical education class, students get one sticker for each mile they walk and two stickers for each mile they run.

And , Jenny earned nine stickers

and completed seven miles

Based on the information provided, Jenny earned 9 stickers and completed 7 miles in physical education class. She receives one sticker for each mile she walks and two stickers for each mile she runs.

We can represent this information on a graph with the number of stickers earned on the vertical axis (y-axis) and the number of miles completed on the horizontal axis (x-axis).

Hence , the graph is solved

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Wayne will toss a coin once and record eacthe toss as H for heads or T for tails.
Then he will randomly pick a card from a box that contains three cards numbered
1, 2, and 3, and he will record the number chosen. List all of the outcomes for the
event that the coin toss is tails.

Answers

Answer:

Step-by-step explanation:

The possible outcomes for the coin toss being tails and the card chosen being 1, 2, or 3 are:

-T1

-T2

-T3

Therefore, there are three possible outcomes for the event that the coin toss is tails.

A person invested ​$7600 for 1​ year, part at 6​%, part at 9​%, and the remainder at 13​%. The total annual income from these investments was ​$818. The amount of money invested at 13​% was ​$1200 more than the amounts invested at 6​% and 9​% combined. Find the amount invested at each rate.

Answers

Step-by-step explanation:

Let X be the amount invested at 6%, Y be the amount invested at 9%, and Z be the amount invested at 13%.

From the problem, we know that:

X + Y + Z = 7600 ---(1) (the total amount invested is $7600)

0.06X + 0.09Y + 0.13Z = 818 ---(2) (the total income from the investments is $818)

Z = X + Y + 1200 ---(3) (the amount invested at 13% is $1200 more than the amounts invested at 6% and 9% combined)

We can use equation (3) to substitute for Z in equations (1) and (2), then solve for X and Y as follows:

X + Y + (X + Y + 1200) = 7600

2X + 2Y = 6400

X + Y = 3200

0.06X + 0.09Y + 0.13(X + Y + 1200) = 818

0.06X + 0.09Y + 0.13X + 0.13Y + 156 = 818

0.19X + 0.22Y = 662

Using the system of equations X + Y = 3200 and 0.19X + 0.22Y = 662, we can solve for X and Y to get:

X = 800

Y = 2400

Substituting back into equation (3), we get:

Z = X + Y + 1200 = 4400

Therefore, the amounts invested at 6%, 9%, and 13% were $800, $2400, and $4400 respectively.

Other Questions
Explain what role does capitalism and patriarchy play in American beauty? What imagesprojected in today's media are a result of gender inequality, what message do the imagessend to young people? Explain in at least two paragraphs.I Allen plans to weld peices of metal together to create a metal cube the length of of each side of the cube will be 14 inches how much metal will he need to create the cube Solve the system of equations by the substitution method{x=4/9y-1{18x-7y=-15 An isosceles triangle has base 16cm and perpendicular height 15cm some of these triangles are used to make a larger triangle The area of a rectangular region is 7.02 x 10^3 square feet. The length of the rectangular region is 1.17 x 10^2 feet. How much does it cost to surround the region with a border that costs $0.80 per foot? The goal of information management is identify information requirements for what various levels T2ka90Special Right Triangles2If the diagonal of a square produces an isosceles righttriangle, then you should be able to find the measuresof the base angles.What is the measure of angles a and b?angleabmeasurecheckXX What is the most descriptive name for the illustration below? A. quadrilateral B. polygon C. rhombus D. trapezoid true or false many of the tasks performed by paralegals lie in a gray area of assignments that might appropriately be performed by either an attorney or a paralegal but not a secretary. The accelerating voltage that is applied to an electron gun is 15 kV, and the horizontal distance from the gun to a viewing screen is 0.71 m. What is the deflection caused by the vertical component of the Earths magnetic field of strength 4 105 T, assuming that any change in the horizontal component of the beam velocity is negligible. The elemental charge is 1.60218 1019 C and the electrons mass is 9.10939 1031 kg. Answer in units of m. In 2003 more than 500 people throughout the United States became ill with hepatitis A that was traced to green onions grown in Mexico. This is an example of ____O a pandemic O a common-source epidemic O a propagated epidemic O an endemic disease What organization helped Northerners settle Kansas? Suppose you physically simulate the random process of rolling a single die. (a) After 1010 rolls of the die, you observe a "one" 44 times. What proportion of the rolls resulted in a "one"? (b) After 2020 rolls of the die, you observe a "one" 22 times. What proportion of the rolls resulted in a "one"? Write a function (Stars) that uses a variable which's you can hardcode or pass its address in ECX to print stars equal in number to that variable. So if the variable had 12, the program should print************Sample main() code mov al,230; mov [number],al call Stars; jmp endIf you want to use AX you can increase the number of * you can print, here is what the main would look like: mov ax,5000; mov [number],ax call Stars; jmp end Anyone know how to do this? I've spent quite some time trying to figure it out but even the textbook doesn't explain how to even start it. Thanks!Find the magnitude of the moment of the two forces F1 (Fx = 50, Fy = 0, Fz = 40) and F2 (Fx = 0, Fy = 60, Fz = 80) acting at (2, 0, 4) and (4, 2, 0), respectively, about the x-axis. The National Endowment for the Humanities sponsors summer institutes to improve the skills of high school teachers of foreign languages. One such institute hosted 20 teachers of French for 4 weeks. At the beginning, the teachers were given the Modem Language Association's listening test of understanding spoken French. After 4 weeks of immersion in French in and out of class, the listening test was given again (with different text so that simply taking the first test and remembering it should not improve the score on the second test). The scores in each case are integer values between 0 and 36. Below are the dataa) Test whether there is mean improvement and give a 95% confidence interval for mean improvement. (Careful: You should use a paired-sample test.) Accompany these with appropriate data display(s), and state carefully what it means to be a 95% confidence interval. Explain also the advantages of, and why you should use. a paired-sample test rather than a two-sample test how long will it take a 4.50-kbq sample of material to reach an activity level of 0.140 kbq if the half-life of the sample is 435 years?A) 14,478 yearsB) 3245 yearsC) 2178 yearsD) 1993 years Electronic circuit boards are randomly selected each day todetermine if any of the boards are defective. A random sample of100 boards from one day's production has four boards that aredefective. Based on the data, perform the hypothesis to see ifthere is overwhelming evidence that more than 3% of the circuitboards are defective?Calculate the test statistic. Round your answer to three decimalplaces. How do we know that a material is more thermally conductive than another The organelles of eukaryotic cells interact with each other to maintain homeostasis within the cell . The nucleus, endoplasmic reticulum, Golgi apparatus, chloroplast, and mitochondria, all contribute to proteins transport, packaging, export, and energy harnessing. According to the Endo, symbiotic theory, certain organelles are proposed to have evolved from free living bacteria that were engulfed by a larger cell. these organelles have multiple membranes, their own circular, DNA, and can replicate by binary fission. The origin of which organelles are likely explained using the Endo symbiotic theory?