vertex to standard form

Vertex To Standard Form

Answers

Answer 1

The quadratic function y = 7(x + 1)² + 1 in standard form is y = 7x² + 14x + 2.

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of second degree.

The given quadratic function is -

y = 7(x + 1)² + 1

Solve the equation to get the standard form.

First solve using the formula (a + b)² = (a² + 2ab + b²) -

y = 7(x + 1)² + 1

y = 7(x² + 2x + 1) + 1

Now, open the brackets -

y = 7x² + 14x + 1 + 1

Now, add the like terms -

y = 7x² + 14x + 2

Therefore, the value is obtained as 7x² + 14x + 2.

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Related Questions

6-7 Collisions and Explosions (1-D)
1. A flatcar with mass M, traveling at speed v, collides with and couples to a parked
boxcar. They move off together with a speed of 1/3 v. What is the mass of the boxcar?

Answers

They move off together with a speed of 1/3 v,The mass of the boxcar is m/3 (V₁ - V₂)².

What is mass?

A body's mass is an inherent quality. Prior to the discovery of the atom and particle physics, it was widely considered to be tied to the amount of matter in a physical body.

in Kinetic energy 4 system, the

K = Kf-Ki

K = 1 (Mcar + Mtruck) Vp ² + mcarv₁_ J 2 2 + Mtruck V2 2 2

K = +(m+2m) (V₁+2√2)² +mv₁² - 1 x 2m v₂ ² 2 2 9

K m (v, ² + 4 √₂ ² + AV₁ V2 ) - { mv, ² - tn v₂ 2 2 6

K = m (V₁²+ 4V₂² + 4 V₁ V2 -1/3V, ² - 6V, ²) /6.

K = m/6 (4V₁V2.-2V₁2-2√22)

k = + m/3 (V₁ - V₂)²

They move off together with a speed of 1/3 v, The mass of the boxcar is m/3 (V₁ - V₂)².

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Find the measure of the angle. Round to the nearest degree

Answers

Answer:

59.036

Step-by-step explanation:

tanΘ = opposite/adjacent

Θ =tan⁻¹(opposite/adjacent)

tan⁻¹(10/6) - 59.03624347

a triangle has one side length of 26 and another side length of 18. select all of the possible lengths of the third side.

Answers

Since the longest side cannot be longer than the total of the other two sides, the third side's potential lengths range from 8 to 44.

A triangle's third side must be longer than the difference between the other two sides' lengths and shorter than the total length of the other two sides. The two side lengths in this situation are 18 and 26. The third side must be greater than 8 because the difference between them is 8. The third side must be less than 44 because the total length of the first two sides equals 44. Therefore, the third side length might be any side length between 8 and 44.Since the longest side cannot be longer than the total of the other two sides, the third side's potential lengths range from 8 to 44.

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The complete question is

a triangle has one side length of 26 and another side length of 18. select all of the possible lengths of the third side potential lengths range from 8 to 44?

A bakery used 30% more sugar this month than last month.If the bakery used 560 kilograms of sugar lost month,how much did it use this month?

Answers

728 kilograms of sugar is used in this month.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that a bakery used 30% more sugar this month than last month.

Let us convert 30% to decimal.

Divide 30 by 100

30/100=0.3

the bakery used 560 kilograms of sugar last month we have to find the amount of sugar used this month.

Now multiply 30% of 560

0.3×560

168.

So now 560+168=728 is the amount of sugar used this month.

Hence, 728 kilograms of sugar is used in this month.

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please solve quickly! (15 points)

Answers

Answer:

Step-by-step explanation:

36

(

x

+

3

)

2

(

x

3

)

2

The lowest commondenominator is
(X-3)^2(x+3)^2
So we get
(X+3)^2 - 2(x^2-9)+(x-3)^2 / (x-3)^2)(x+3)^2
= x^2 +6x+9-2x^2+18+x^2-6x+9 / (x-3)^2(x+3)^2
= 36/(x-3)^2(x+3)^2

Find the plane determined by the intersecting lines.
L1 x= -1 + 3t y = 2+2t z=1-t
L2 x=1-4s y=1+2s z=2-2s

Answers

In a plane, intersecting lines are any two or more lines that cross each other. The point of intersection is the common point shared by all intersecting lines.

What are Intersecting Lines?In a plane, intersecting lines are those that cross one another three times or more. The point of intersection is the shared location between all intersecting lines that exists on all intersecting lines.Point O represents the point of intersection where lines P and Q meet in this instance.Specifications of intersecting linesWhen two or more lines intersect, they always do so at the same location.Any angle may be used to intersect the lines. Always more than 0° and less than 180° is the angle that is generated.Vertical angles are created by two intersecting lines. There is a common vertex between the opposing vertical angles (which is the point of intersection).Vertical angles a and c are equivalent in this case. Additionally, b and d have equal vertical angles and are vertical angles.A plus D equals a straight angle of 180 degrees.

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An aspiring figure skater named Anthonia has been working on her triple axel jump. She lands it 33.33% on average. Her competition, Zahra, has also been working on her triple axel jump averaging 45% of successful lands. If both are competing at the same event, what is the probability that Anthonia will land her jump and Zahra will not land her axel jump?

Answers

If Anthonia and Zahra compete at the same event, the probability that Anthonia will successfully land her jump and Zahra will not land hers is 18.33%.

What is the probability?

We describe probability as the chance or likelihood that an expected event occurs when there are many possible outcomes.

Probability lies between one and zero when it is not 100% certain or uncertain.

The probability that Anthonia lands her triple axel jump = 33.33%

The chance that Anthonia does not land her jump = 66.67% (1 - 33.33%)

The likelihood of Zahra landing her jump successfully = 45%

The odds that Zahra will not successfully land her jump = 55% (1 - 45%)

The probability that Anthonia lands successfully while Zahra does not = 18.33% (33.33% x 55%)

Thus, Anthonia has the chance of winning Zahra at 18.33%.

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Chapter 6
Lesson 2 skills practice numerical expressions

Answers

The Numerical Expressions answers are shown below:

What is Integers?

Integers come in three types:

Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)

Given:

1. 7-6+ 5

= 7 -1

= 6

So, the value of 7-6+ 5 is 6.

2. 31 +19 -8

= 31 + 11

= 42

So, the value of 31 +19 -8 is 42.

3. 64-8+21

= 56 + 21

= 77

So, the value of 64-8+21 is 77.

4. 17+34-2

= 51-2

= 49

So, the value of 17+34-2 is 49.

5. 28+ 89 -67

= 117-67

= 50

So, the value of 28+ 89 -67 is 50.

6. (8+1) x 12- 13

= 9 x 12 -13

= 108 - 13

= 95

So, the value of (8+1) x 12- 13 is 95.

7. 63/9 +8

= 7 +8

= 18

So, the value of 63/9 +8  is 18.

8. 5 x 6 -(9-4)

= 5x 6 - 5

= 30- 5

= 25

So, the value of 5 x 6 -(9-4)  is 25.

9. 13x 4 -72 /8

= 13 x 4 - 9

= 52- 9

= 43

So, the value of 13x 4 -72 /8  is 43.

10. 16/2 + 8 x 3

= 8 + 8 x 3

= 8+24

= 32

So, the value of 16/2 + 8 x 3  is 32.

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please help will mark BRAINLIEST ​

Answers

The sum of the angles formed on the same side of the transversal which are inside the two parallel lines is always equal to 180°

What exactly is the degree formula?

Yes, we can use the radian-to-degree formula to convert a negative radian to a degree. Degrees = Radians 180 / is the formula, and it may be used for both positive and negative values. Parallel lines are lines that are always the same distance apart in a plane. Parallel lines never cross. Perpendicular lines are those that connect at a straight angle (90 degrees).

These are referred to as parallels. A circle of latitude is an imaginary ring that connects all places that share a parallel. The Equator is the 0 degree latitude line. Each parallel is one degree north or south of the Equator, with 90 degrees north and 90 degrees south respectively.

Hence, The sum of the angles formed on the same side of the transversal which are inside the two parallel lines is always equal to 180°

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True or false? A hair clip is 1 4/7 inches long. A paper clip is 5/6 inches long. The two items are about the same length.

Answers

The answer would be false ! If you turn both fractions into decimals, they’re different.

Ann and leila are driving separate cars to New York. They begin the trip with full gas tanks. The amount of gas (in gallons) remaining in the tank of each car depends on the number of miles driven, as shown below.After 225 miles driven, which car will have less gas remaining?After how many miles will the tanks contain the same amount of gas? If the number of miles driven is less than this, which car will have more gas remaining?

Answers

After 180 miles both the cars' tanks contain same amount of gas.

What is the graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

Given that, Ann and Leila are driving separate cars to New York. They begin the trip with full gas tanks.

From the given  graph,

After 360 miles Ann's car has 2 gallons of gas.

After 180 miles both the cars' tanks contain same amount of gas.

When they travelled less than 180 miles, Leila's car has more gas.

Therefore, after 180 miles both the cars' tanks contain same amount of gas.

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Can someone explain to me why the answer is 90 and not 1080? I think it has to do with the inches and ft. But I don’t remember how you solve it.

Answers

Answer:

You are correct

Step-by-step explanation:

You are correct sir. They want the answer in feet, so everything on that triangle has to be converted into feet.

There are 12 inches in a foot. If we do 108/12 we get 9 feet.

Diya earned a 36 out of 80 on a test. Her teacher offered extra credit that would allow Diya to double her score. What score could she earn if she completes the extra credit?

Answers

Diya could earn 72 marks out of 80 after getting the extra credits.

What are extra credits in School?

Teachers employ extra credit for a variety of reasons. For example, it may be felt that students who are highly capable may benefit from an additional challenge that might not be suitable as required work for all students. Extra credit may also be used as a way to allow a student to improve their grade after a weak performance earlier in a course. In both of these cases, extra credit can promote differentiated instruction by factoring in optional work in the assessment of student performance.

Given here: Diya scores 36 out of 80 on a test.

Also, her teacher gives her extra credit with which she could double her marks.

If Diya doubles her marks then her total marks would be 72

Therefore the increase in her marks is 72-36=36

She could earn another 36 credits.

Thus her score after the extra credit is equal to 72

Hence, Diya could earn 72 marks out of 80 after getting the extra credits.

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X+6y=-2 show ur work

Answers

The equation when making x the subject is X = -2 - 6y

How to make x the subject

To do this, we would have to take the values that are in the left hand side to the right hand side. When we do this, the signs on the left hand side would have to change

X+6y=-2

we have to take +6y to the right hand side.

When the positive sign crosses the equal sign it becomes negative

X = -2 - 6y

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X+6y=-2 show ur work make x the subject

Tyrone put 1/3 teaspoon of salt in a batch of cookie dough. He thought that might not been enough salt, so he added another 1/4 teaspoon. How much salt did Tyrone use in total?

Answers

Answer:

7/12 of salt.

1/4 + 1/3 =

1/3 + 1/4 =

4/12 + 3/12 = 7/12.

Step-by-step explanation:

Hope it helps! =D

the price of a new car is 23% more than the price of a 3-year old car. if the price of the new car was $12,400, what is the price of the 3-year old car?

Answers

Answer: To find the price of the 3-year old car, we need to determine how much less it is than the new car, which is 23% of the price of the new car.

We can start by finding the value of 23% of the price of the new car, which is: $12,400 x 0.23 = $2,832

Now we know that the price of the 3-year old car is $2,832 less than the price of the new car. To find the price of the 3-year old car, we subtract $2,832 from the price of the new car: $12,400 - $2,832 = $9,568

So the price of the 3-year old car is $9,568.

Step-by-step explanation:

QUICK!!! WHAT IS -2 2/5 times -1/3
(Please show work)

Answers

-2 2/5 x -1/3

-2 2/5 = -12/5 x -1/3
= 4/5

the answer is 4/5 or 0.8 in decimal form if you need it

Quadrilateral EFGH is a rhombus.
Which additional fact would prove that
EFGH is a square?
O A) EG ~ FH
O BEG 1 FH
O C) EG bisects LFEH
O DILFEH ~ LFGH

Answers

The additional fact that would prove that

EFGH is a square is D) IFLEH ~ LFGH.

What is a quadrilateral?

A quadrilateral is a plane figure with four edges and four corners, also known as vertices. The quadrilateral's four vertices or corners all have angles.

If a quadrilateral is a rhombus, that means opposite sides are congruent, but it does not mean that all angles are congruent. In order to prove that EFGH is a square, we need to show that all angles are congruent. The statement "IFLEH ~ LFGH" implies that all angles in the quadrilateral are congruent, since it states that opposite angles are congruent, which is one of the defining characteristics of a square. Therefore, statement D is the correct answer.

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8-3(4-4)+2*4*6 :< i need help man

Answers

BEDMAS
4-4=8
8-3(4)+2*4*6
2x4x6
8-3(4)+48
3x4
12(4)+48
48+48
96

I THINK I DID THIS RIGHT

Answer:

[tex]\sf 56[/tex]

Step-by-step explanation:

[tex]\sf 8-3(4-4)+2*4*6[/tex]

[tex]\sf 8-(3)(0)+(2)(4)(6)[/tex]

[tex]\sf 8-0+(2)(4)(6)[/tex]

[tex]\sf 8+(2)(4)(6)[/tex]

[tex]\sf 8+(8)(6)[/tex]

[tex]\sf 8+48[/tex]

[tex]\sf 56[/tex]

A line passes through the point(-8, -9) and has a slope of Write an equation in slope-intercept form for this line. -5/4​

Answers

Answer:

y = (-5/4)x - 19

Step-by-step explanation:

Given information,

Slope(m) = -5/4

→ Point = (-8, -9)

→ y-intercept = b

The slope-intercept form is,

→ y = mx + b

Now the y-intercept will be,

→ y = mx + b

→ -9 = (-5/4)(-8) + b

→ -9 = 10 + b

→ b = -9 - 10

→ [ b = -19 ]

Then the required equation is,

→ y = mx + b

→ [ y = (-5/4)x - 19 ]

Hence, this is the equation.

now, set up an integral to compute the volume of this solid, then evaluate it to find the volume of the solid: V= Integral (from x=2 to x=-4) of (8-x^2-2x)^2 dx an integral that gives the volume of the solid is:

Answers

The volume of the solid is equal to 96 cubic units.

V= Integral (from x=2 to x=-4) of (8-x^2-2x)^2 dx = ∫(8-x^2-2x)^2 dx

= 1/3*∫(24-6x^2-12x)dx

= 1/3*[24x-2x^3-6x^2] from x=2 to x=-4

= 1/3*[(-6)-(-140)-(-136)]

= 1/3*(288)

= 96 cubic units

Set up an integral to compute the volume of the solid.

V= Integral (from x=2 to x=-4) of (8-x^2-2x)^2 dx

Rewrite the integral with a function of x in terms of a single power of x.

V= Integral (from x=2 to x=-4) of (8-x^2-2x)^2 dx = ∫(8-x^2-2x)^2 dx

= 1/3*∫(24-6x^2-12x)dx

Integrate the function.

= 1/3*[24x-2x^3-6x^2] from x=2 to x=-4

Evaluate the integral to find the volume of the solid.

= 1/3*[(-6)-(-140)-(-136)]

= 1/3*(288)

= 96 cubic units

The volume of the solid is equal to 96 cubic units.

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Luke says 1/5 +2/5 =3/10 Describe the error .

Answers

It would be 3/5 because you don’t add the denominators. The denominator stays the same.

Sarah ordered 37 shirts that cost $9 each. She can sell each shirt for $16. She sold 30 shirts to customers. She had to return 7 shirts and pay a $3 charge for each returned shirt. Find Sarah's profit.

Answers

Sarah's profit, given the shirts sold, the cost of the shirts, and the shirts returned, can be found to be $ 126

How to find the profit ?

First, find Sarah's cost :

= Cost to buy the shirts + cost to return the shirts

= ( 37 x 9 ) + ( 7 x 3)

= 333 + 21

= $ 354

The revenue made from selling the shirts was :

= 30 x 16 per shirts

= $ 480

Sarah's profit is therefore:

= 480 - 354

= $ 126

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What is the equation of the line that passes through the point (8, 4) and has a slope
of o?

Answers

The equation of the line passing through the point (8, 4) and having a slope of 0 is y = 4.

What is the slope intercept?

The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).

The line passing through the point (8, 4) and having a slope of 0 is a horizontal line which is parallel to the x-axis. The slope (m) of this line is 0.

The point-slope form of this line would be:

(y - 4) = 0(x - 8)

Simplifying this, we get:

y = 4

Hence, the equation of the line passing through the point (8, 4) and having a slope of 0 is y = 4.

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If the sun is 69° above the horizon, find the length of the shadow cast by a building 91 ft tall. Round your answer to the nearest tenth.

Answers

If the sun is 69° above the horizon, the length of the shadow cast by a building 91 ft tall

How to find the length of the shadow?

You should understand that the length of the shadow is the distance between a point to the foot of the tenth

This makes an angle of depression, with 69 degrees

Remember that the angle on top of the tenth is 90-69 = 21 degrees

therefore, using the trigonometrical ratio

We have Tan∅ = opposite of adjacent

Tan 21⁰ = x/9

x= 9*tan 21⁰

x = 9*0.3839

The distance is 3.45

Therefore the length of the shadow cast by a building is approximately 3.5 feet long

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A piece of material measures 38 inches. Courtney cuts the piece of material into two pieces. One piece measures 19 inches. Write an addition equation that could be used to find the length, m, of the other piece of material.

Answers

Answer:

As a whole, the piece first measured 38 inches. No matter how many times you cut it, all of the pieces will still add up to 38 inches. You know that 19 inches is the length of one of the two pieces, so all you need to find is the other unknown piece. Add the two together, with m being the unknown length.

19+m=38

If you want to solve the equation, just subtract 19 from both sides.

19+m=38

m=19

a movie theater has 7 shows a day 4 days per week and 11 shows a day 2 days per week together how many shows in 6 days

Answers

The movie theater will have 50 shows in 6 days

To find the total number of shows in 6 days, we need to calculate the number of shows for each type of day (4 days per week with 7 shows per day and 2 days per week with 11 shows per day) and then add them together.

First, let's calculate the number of shows for the 4 days per week with 7 shows per day:

4 days per week x 7 shows per day = 28 shows per week

Next, let's calculate the number of shows for the 2 days per week with 11 shows per day:

2 days per week x 11 shows per day = 22 shows per week

Now, we can add the number of shows for each type of day together to find the total number of shows in 6 days:

28 shows per week + 22 shows per week = 50 shows in 6 days

We used multiplication to calculate the number of shows per week for each type of day (by multiplying the number of days by the number of shows per day) and then added the two results together to find the total number of shows in 6 days.

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in the x y coordinate plane, which of the following points must lie on kx + 3y + 6 if k = -1/2 ​

Answers

Answer:

honestly, I got no idea. I can tell you though - go us Desmos kid. it'll help you more than any person in this platform.

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Step-by-step explanation:

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Rosa gasto 11.52 en 8 collares de dulces para cada una de sus dos amigas cuánto costó cada collar

Answers

Answer:

1.44

Step-by-step explanation:

11.52/8=1.44

Water is being drained from a container which has the shape of an inverted right circular cone. The container has a radius of 6.00 inches at the top and a height of 10.0 inches. At the instant when the water in the container is 8.00 inches deep, the surface level is falling at a rate of 0.9 in./sec. Find the rate at which water is being drained from the container.

Answers

The rate at which the water flow from the given volume is 21.72 in³/sec

What is rate at which the water flow

To find the rate at which water is being drained from the container, we first need to find the rate at which the water level is falling and then use that to calculate the volume of water being drained per unit of time.

We know that the surface level is falling at a rate of 0.9 inches per second and that the container has the shape of an inverted right circular cone. The volume of a cone is given by the formula:

V = (1/3) * π * r^2 * h

Where V is the volume, π is pi (approximately 3.14), r is the radius of the base, and h is the height of the cone.

We can use this formula to find the volume of the container when the water level is 8 inches. The radius at this point is 6 * (8/10) = 4.8 inches and the height is 8 inches.

V = (1/3) * π * (4.8 inches)^2 * 8 inches = 193.02 inches³

Now that we know the volume of the container when the water level is 8 inches, we can use the rate at which the water level is falling (0.9 inches per second) to find the rate at which the water is being drained.

The rate at which water is being drained = rate of change of volume / rate of change of height = dV/dt = dV/dh * dh/dt = -dV/dh * dH/dt

Where dV/dh is the derivative of volume with respect to height, dH/dt is the rate of change of height.

-dV/dh = -(1/3) * π * (4.8 inches)^2 = -24.13 in³

dH/dt = -0.9 inches/sec

The rate at which water is being drained = -dV/dh * dH/dt = -24.13 * -0.9 inches/sec = 21.72 in³/sec

So the rate at which water is being drained from the container is 21.72 in³/sec

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advantages and disadvantages of Frank Models which intervention and rationale would the nurse plan for a client admitted to the hospital with a right-sided cerebrovascular accident (cva)? Why is the Congo language dying out? On a certain hot summer's day, 560 people used the public swimming pool. The daily prices are $1. 50 for children and $2. 00 for adults. The receipts for admission totaled $991. 0. How many children and how many adults swam at the public pool that day? when a client arrives in the emergency department after prolonged exposure to cold weather, which clinical manifestations will the nurse expect to find? select all that apply. one, some, or all responses may be correct. Which point lies on the y axis graph i ready 3 x 10 + 6 x1 + 1 + 8 x 1/1,000 in standred form the selection below is an argument: all humans are mortal. your philosophy professor is a human. therefore, your philosophy professor is mortal. We think they [people of African ancestry], are... not included, and were not intended to be included, underthe word "citizens" in the Constitution, and can therefore claim none of the rights and privileges which thatinstrument provides for and secures to citizens of the United States.-Chief Justice Roger B. TaneyWhich Supreme Court decision is excerpted above?McCulloch v. MarylandDred Scott v. SandfordGibbons v. OgdenMarbury v. MadisonDELL X/4 = 20please help 1. which of the following is not true when managing a portfolio system? within a small organization it can be managed by a small group of key employees. the qualities of a particular project are assessed within the context of existing projects. it does not require a constant effort. it requires input from senior management. it involves monitoring and adjusting criteria to reflect the strategic focus of the organization. The diagram below represents a portion of the Earth's latitude and longitude system. What are the approximate latitude and longitude of point A?15 S 20 W15 S 20 E15 N 20 E15 N 20 W 13.) Solve the right triangle. Round answers to the nearest tenth. To receive full credit you must show all work. R S 57 15 T RT = RS= m/T= body planes are answer surfaces along which the body or a structure is cut for anatomical or pathological study.TrueFalse many influential economists, politicians, and business leaders think that a shift toward a more integrated and interdependent global economy is a good thing. there is evidence to support the theory that falling barriers to international trade and investment drive the global economy toward greater prosperity. there are, however, critics who argue against globalization. anecdotes, evidence, and arguments can be collected to support each side of the debate. international businesses need to understand the nature of the globalization debate and observe how their own practices may act in support of or against globalization. understanding how each side sees the issues can lead toward better solutions to the problems caused by globalization. match each argument for or against globalization below with the corresponding issue. socioeconomic development results across nations and people labor and labor standards jobs environment and health true or false? in a masquerade attack, one user or computer pretends to be another user or computer. after recovering from gastrointestinal surgery, a client is prescribed a regular diet. to minimize stomach irritation, the nurse would encourage the client to consume which food? the volume of a gas is proportional to the temperature of a gas is known as What is old folk belief on which this cartoon is based? Many organizations use the same process capability standard for all their products or services (e. G. , 1. 33), but some companies use multiple standards: different standards for different products or services (e. G. , 1. 00, 1. 20, 1. 33, and 1. 40). What reasons might there be for using a single measure, and what reasons might there be for using multiple standards