3⋅f(−4)−3⋅g(−2) = ?
Ayuda por favor

Answers

Answer 1

The value of the 3 × f( - 4 ) - 3 × g( - 2 ) is 40

Given the following expression 3 × f( - 4 ) - 3 × g( - 2 ), to find the required values, we can assume that;

f( - 4 ) = 15

g( - 2 ) = 5

Substitute the given parameters into the expression to have:

3 × f(- 4 ) - 3 × g(- 2) = 3 × 15 - 3 × 5

= 45 - 5

= 40

Hence the value of the 3 × f( - 4) - 3 × g( - 2) is 40

Learn more on function here

https://brainly.com/question/15169713

#SPJ1


Related Questions

What did Maleuvre write about Gauguin's views on Polynesian women?

Answers

Answer:

Step-by-step explanation:

Observation of the real life and way of life of the peoples of Oceania are intertwined in them with local myths.

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

Step-by-step explanation:

You are looking for the tangent ratio, which is opposite side over adjacent side.  Using the tangent ratio of an angle of 37°.

tan37° = x/89

.75355405 = x/89

.75355405 · 89 = x/89 · 89/1

67.06 = x

rounded to 67.1

Answer:

67.1? that's what I got lol

What expression is or is not equivalent, what is the answer?

Answers

Answer:
A and B

Step-by-step explanation:

-10/3= -3.33333333333

(- (-10))/(-3)= -10/3, (negative sign being erased)

=-3.33333333333

hope it helped:)

how many miles is 60,000 inches

Answers

Answer:

it is 0.94 miles

Step-by-step explanation:

that is because to make a mile you need 63,360 but since you have 60,000 it is not technically a mile

50 Points! Multiple choice algebra question. Write the expression x^4+5x^2-8 in quadratic form, if possible. Photo attached. Thank you!

Answers

Answer:

A!!!!!!!!!!!!!!!!!!!!!!!!!

If a, b, c are in H.P.; prove that b+ca+ca+b ac' ab bc are also in A.P.​

Answers

If a, b, c are in Harmonic Progression, b+ca+ca+b ac' ab bc are in Arithmetic Progression.

How to prove Harmonic Progression and Arithmetic Progression?

Given a, b, c are in H.P.:

1/a + 1/b = 2/c

Multiplying both sides by abc:

bc + ac = 2ab

Adding c to both sides:

bc + ac + c = 2ab + c

Rearranging the terms:

c + ab = ac + bc

Adding the terms b + ca and ca + b to both sides:

b + ca + ca + b + ac' + ab + bc = ac + bc + b + ca + ca + b

Simplifying:

b + ca + ca + b + ac' + ab + bc = 2ac + 2b

Dividing both sides by 2:

(b + ca + ca + b + ac' + ab + bc)/2 = ac + b

Hence, b+ca+ca+b ac' ab bc are in A.P.

Find out more on H.P here: https://brainly.com/question/27927304

#SPJ1

find the inverse given T(y)=6.056y+601.39

Answers

Answer:

5 (100y -601.39)

3028

Step-by-step explanation:

On Saturday, the temperature was 75.5°F. The temperature rose by 6°F on Sunday, then dropped by 3.5°F on Monday. What was the temperature, in degrees Fahrenheit, on Monday?

Answers

Answer:

78°F

Step-by-step explanation:

If the temperature was 75.5°F, and it rose by 6°F on Sunday, then the temperature on Sunday was:

75.5°F + 6°F = 81.5°F

If the temperature on Sunday was 81.5°F, and it dropped by 3.5°F on Monday, then the temperature on Monday was:

81.5°F - 3.5°F = 78°F

Therefore, the temperature on Monday was 78°F.



Help please!!!!
Whoever answers right gets brainliest!

Answers

It be the first one this > 4w+6
Answer:

4w+6.

Step-by-step explanation:

1. Formula of perimeter.

The perimeter is just the summation of the length of all sides of a shape. In the case of a circle, the perimeters is its circumference length. So for this case, all we need to do is add up all the sides in a single expression that will represent the perimeter.

2. Calculating the perimeter formula.

So perimeter for this triangle should be:

Side 1 + Side 2 + Side 3.

Where:

Side 1= w+4;

Side 2= 2w+2;

Side 3= w.

Then, perimeter is:

(w+4)+(2w+2)+(w)

Adding up all the like terms:

(w+2w+w)+(4+2)

(4w)+(6)

4w+6.

Lines MN and GH are parallel. If m
S is 38°, then what is m
Y?

Answers

The calculated measure of the angle Y is 38°


Calculating the measure of the angle Y

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

Lines MN and GH are parallel. Angle S = 38°

The angle S and angle Y are corresponding angles

This means that the angles are congruent

So, we have

Y = S

Substitute the known values in the above equation, so, we have the following representation

Y = 38°

Hence, the measure of the angle Y is 38°

Read more about angles at

https://brainly.com/question/98924

#SPJ1

Complete question

Lines MN and GH are parallel. If mS is 38°, then what is mY?

See attachment for figure

Draw and describe the plane section that results from the following cut: a cylinder cut parallel to the base.

Answers

When a cylinder is cut parallel to its base, the plane section that results is a circle. This circle will have the same radius as the cylinder's base. The center of the circle will be located at the center of the cylinder's base. This type of cut will create a circular cross-section that is parallel to the base of the cylinder.

Find the area of each of the figures

Answers

In the given diagram, the areas of the figures are as follows:

Area of the rectangle is 1/6 cm²

Area of the parallelogram is 12 m²

Calculating the area of a plane shape

From the question, we are to calculate the areas of the given plane shapes

From the diagram, we have a rectangle and a parallelogram

The area of a rectangle is given by the formula

Area = l × w

Where l is the length

and w is the width

From the given information,

l = 1/2 cm

w = 1/3 cm

Thus,

Area = 1/2 cm × 1/3 cm

Area = 1/6 cm²

Hence, the area of the rectangle is 1/6 cm²

For the parallelogram

The area of a parallelogram is given by the formula

Area = b × h

Where b is the base length

and h is the perpendicular height

From the given information,

b = 6 m

h = 2 m

Thus,

Area = 6 m × 2 m

Area = 12 m²

Hence, the area of the parallelogram is 12 m²

Learn more on Calculating area of plane shapes here: https://brainly.com/question/30169773

#SPJ1

Each ice cube measures 1.2in high and 1in in diameter. What is the volume of all 3 ice cubes

Answers

Answer:

[tex]\sf V_{3 Cylinders} =2.8274(in^{3} ).[/tex]

Step-by-step explanation:

1. Find a formula for the volume (assuming the shape of the ice cubes is cylindrical).

From the provided information about the ice cubes (height and diameter), it's safe to assume that they are cylinder shaped ice cubes. They could be circular cone ice cubes, but the safest assumption is cylinders. Now, to find the volume of a cylinder we use the following formula:

[tex]\sf V_{Cylinder} =\pi r^{2} h[/tex] or [tex]\dfrac{\pi d^{2} h}{4}[/tex].

For the fist equation, "r" stands for radius, and "h" for height.

On the alternate equation, "d" stands for diameter.

2. Calculate.

Since we're given the diameter and height, let's use the alternate equation:

[tex]\sf V_{Cylinder} =\dfrac{\pi (1(in))^{2} 1.2(in)}{4}=\dfrac{3}{10} \pi (in^{3} )=0.9425(in^{3} ).[/tex]

3. Calculate the volume of the 3 cubes.

This can be done by just multiplying the volume of a single cube ([tex]\dfrac{3}{10} \pi (in^{2} )[/tex]) by 3.

[tex]\sf V_{3 Cylinders} =(3)\dfrac{3}{10} \pi (in^{3} )=\dfrac{9}{10} \pi (in^{3} )=\boxed{\sf 2.8274(in^{3} )}.[/tex]

4. Alternative answer (assuminng the ice cubes have a circular cone shape).

Assuming the ice cubes have the shape of a circular cone, this is the process for calculating the volume of all 3 cubes:

[tex]\sf V_{Cone} =\dfrac{1}{3} \pi r^{2} h\\ \\\\ \\ V_{3Cones} =3*\dfrac{1}{3} \pi r^{2} h\\ \\ \\= \pi r^{2} h\\ \\ \\=\pi (\dfrac{1(in)}{2} )^{2} (1.2(in))\\ \\\\ =\dfrac{3}{10} \pi (in^{3} )=\boxed{\sf 0.9425(in^{3} )}[/tex]

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

Learn more about calculations of volumes and operations around volume here:

https://brainly.com/question/30569232

https://brainly.com/question/29462977

https://brainly.com/question/28308963

Find the distance between the two points (3,−2) and (2,6) .



Simplify your answer, and write the exact answer in simplest radical form for an irrational answer. For example, 2–√= sqrt(2) .

Answers

Answer:

[tex] \sqrt{( {3 - 2)}^{2} + {( - 2 - 6)}^{2} } [/tex]

[tex] \sqrt{ {1}^{2} + {( - 8)}^{2} } [/tex]

[tex] \sqrt{1 + 64} = \sqrt{65} [/tex]

1. Josh said that the square root of 100 is a perfect square and a perfect cube. Is Josh correct? Explain your reasoning. ​

Answers

Josh is incorrect because 100 is perfect square not a perfect cube.

We have the number 100.

Now, factorising the number 100 as

100 = 2 x 2 x 5 x 5

100= (2 x 5)  x ( 2x 5)

100 = 10 x 10

As, 100 can be factorised as 10 x 10 which shows 100 is prefect square of 10.

But 100 is not a perfect cube because for the cube we need pair of three number.

Thus, Josh is incorrect.

Learn more about Perfect square here:

https://brainly.com/question/13521012

#SPJ1

An angle measures 158.2° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

the 2 angles are 169.1° and 10.9°

Step-by-step explanation:

Supplementary angles add to 180

x = first angle

y = second angle = x - 158.2

x + y = 180

x + (x - 158.2) = 180

2x = 180 + 158.2

2x = 338.2

x = 338.2/2 = 169.1

y = 169.1 - 158.2 = 10.9

x + y = 169.1 + 10.9 = 180

Gianah lives in Milton. She bought a bus ticket to travel to her cousin's house in Orlando. She gets on the bus in Milton. The distance between the two cities is 695 kilometers and the bus drives 70 kilometers per hour.

If the bus is kilometers away from Orlando, which of the following equations represents the hours, h, the bus has traveled?

Answers

695 divided by 70=9.92 hours

Using Trig to Find a Side

Answers

Using trigonometric ratio, the value of x in the figure is 2.61 units

What is the trigonometric ratios

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.

In this problem, we have the adjacent side and we need to find the opposite side.

The ratio that gives us room to find this is the tangent to the angle

tanθ = opposite / adjacent

tan 43 = x / 2.8

x = 2.8 * tan 43

x = 2.61

Learn more on trigonometric ratio here;

https://brainly.com/question/17155803

#SPJ1

Level E: The repair department of the bicycle shop repairs three things: flat tires, bent handle bars and ripped seats. Today in the repair department, 25% of the bikes had flat tires only, 5% had bent handlebars only, and 10% had ripped seats only. Just 1/12th of the bikes had all three repairs to do: flat tires, bent handlebars and ripped seats. No bikes were completely fixed and there are a total of 101 repairs to be made. How many bikes are in the repair department? How many bikes need two repairs? If less than half of all the bikes have a ripped seat, what is the range of bikes that need both the tires and handlebars repaired without needing to fix the seat?​

Answers

There are 960 bikes in the repair department and  1.98% of the bikes need two repairs.

The number of bikes with flat tires only is 0.25x, where x is the total number of bikes

The number of bikes with bent handlebars only is 0.05x

The number of bikes with ripped seats only is 0.1x

The number of bikes that need two repairs is 0.01Tx, where T is the percentage of bikes that need two repairs (expressed as a decimal)

The number of bikes that need all three repairs is 0.0833...x

So we have the equation:

0.25x + 0.05x + 0.1x + 0.01Tx + 0.0833...x = 101

Simplifying and solving for x, we get:

x = 960

So there are 960 bikes in the repair department.

To find the number of bikes that need two repairs, we can use the equation:

0.25x + 0.05x + 0.1x + 0.01Tx = 101 - 0.0833...x

Substituting x = 960, we get:

0.25(960) + 0.05(960) + 0.1(960) + 0.01T(960) = 101 - 0.0833...(960)

240 + 48 + 96 + 9.6T = 101 - 80

9.6T = 19

T = 1.98

About 1.98% of the bikes need two repairs.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ1

The average score of 22 students on a math online quiz is 86.3 with a standard deviation of 7.2. The average population score is 83.5. What is the
t-value?

Answers

Based the provided information, the t-value is approximately 1.824.

How do we determine the t-value?

We shall work out the t-value by calculating the difference between the sample mean and the population mean, divided by the standard error of the mean.

We shall use the t-test formula to calculate the t-value:

t = (sample mean - population mean) / (sample standard deviation / [tex]\sqrt(sample size)[/tex])

where:

sample mean = 86.3

population mean = 83.5

sample standard deviation = 7.2

sample size = 22

Plugging in these values, we have:

t = (86.3 - 83.5) / (7.2 / √22)

t = 2.8 / (7.2 / 4.69)

t = 2.8 / 1.535

t ≈ 1.824

Therefore, the t-value is approximately 1.824.

Learn more about sample mean brainly.com/question/14127076

#SPJ1

. A and B completed a work together in 5 days. Had A worked at twice the speed and B at half the
speed, it would have taken them four days to complete the job. How much time would it take for
A alone to do the work

Answers

So it would take A 10 days to do the whole job alone.

What is equation?

An equation is a statement that asserts the equality of two expressions. It typically contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, etc. The goal of solving an equation is to find the values of the variables that make the equation true. Equations are used in a variety of mathematical contexts, including algebra, calculus, and geometry, as well as in physics, engineering, and many other fields.

Here,

Let's denote A's speed as "a" and B's speed as "b" (in units of work per day). Then, we know that:

In 5 days, A and B together completed the job, so we can write: 5(a + b) = 1 (where 1 represents the whole job).

If A worked at twice the speed (2a) and B worked at half the speed (0.5b), then they would complete the job in 4 days, so we can write: 4(2a + 0.5b) = 1.

We can simplify the second equation by multiplying out the brackets and collecting like terms:

8a + 2b = 1

Now we have two equations with two unknowns. We can solve for one of the variables in terms of the other, and substitute the result into the other equation to find the value of the remaining variable. Let's solve for "b" in terms of "a" from the first equation:

5(a + b) = 1

5b = 1 - 5a

b = (1/5) - a

Now we can substitute this expression for "b" into the second equation:

8a + 2b = 1

8a + 2((1/5) - a) = 1

8a + (2/5) - 2a = 1

6a = (3/5)

a = (1/10)

So A can do 1/10 of the job in one day. To find out how long it would take A to do the whole job alone, we can use the formula:

time = amount of work / rate

Since A can do the whole job alone, the amount of work is 1, and A's rate is 1/10. Therefore:

time = 1 / (1/10)

= 10 days

To know more about equation,

https://brainly.com/question/28243079

#SPJ1

Divide and state the quotient in simplest form.

Answers

The quotient of the two fractions is (x - 5) / (x - 4).

Option D is the correct answer.

We have,

To divide two fractions, we can multiply the first fraction by the reciprocal of the second fraction.

In this case, that means we need to multiply:

(x² - 2x - 15) / (x + 2) x (x + 2) / (x² - x - 12)

Notice that the (x + 2) terms in the numerator and denominator of the first fraction cancel out with the denominator of the second fraction, so we can simplify before multiplying:

(x² - 2x - 15) / 1 x 1 / (x² - x - 12)

Now we can multiply the numerators and the denominators separately:

(x² - 2x - 15) / (x² - x - 12)

To simplify further, we can factor both the numerator and the denominator:

(x - 5)(x + 3) / (x - 4)(x + 3)

Notice that the (x + 3) terms in the numerator and denominator cancel out, leaving:

(x - 5) / (x - 4)

Therefore,

The quotient of the two fractions is (x - 5) / (x - 4).

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

7.003x10^-5 in standard form​

Answers

Answer:

0.00007003 is the standard form of 7.003x10^-5. In scientific notation, the number is expressed as 7.003 multiplied by 10 raised to the power of negative five. To convert it to standard form, the decimal point has to move to the left by five places since the exponent is negative. The resulting number is a decimal with four zeros before the first nonzero digit. Standard form is a way of representing numbers that does not use exponents and is useful in comparing and performing operations on numbers.

What expression represents a x 5
A: Product
B: Sum
C: Difference
D:Quotient

Answers

The answer is product because that what the answer to multiplication is called
Answer: A; Product.
The total of a multiplication expression is called a product.
(Sum) - total of an addition expression
(Difference) - total of a subtraction expression
(Quotient) - total of a division expression
Hope that helped!

Correct answer gets brainliest!!!!

Answers

Answer:

a) 5

Step-by-step explanation:

the question say how many zero-dimensional objects are labeled on the object. so, you would count how many blue dots you see on the object, as you can see their are four dots on the the bottom, and one dot at the top.

so, 4 dots + 1 dot = ?

5 blue dots

so your answer is 5.

hopefully this helps, let me know if it doesn't.

Harvey’s pizzeria has three pizza sizes he wants to work out the outside measurement (circumference) of each size to work out how much cheese he will need for a stuff crust.

Match the correct circumference of each pizza using the diameter given.

Small –
Medium-
Large-

Answers

The circumference of the small pizza is approximately 47.1 cm, the circumference of the medium pizza is approximately 69.1 cm, and the circumference of the large pizza is approximately 94.2 cm.

The diameter is the distance across the widest part of a circle. To find the circumference of a circle, we use the formula C = πd, where C is the circumference, π is a mathematical constant (approximated as 3.14), and d is the diameter of the circle. Therefore, to find the circumference of each pizza size, we can simply plug in the given diameter into this formula.

For the small pizza with a diameter of 15 cm, the circumference can be calculated as follows:

C = πd

C = 3.14 x 15

C ≈ 47.1 cm

For the medium pizza with a diameter of 22 cm, the circumference can be calculated as follows:

C = πd

C = 3.14 x 22

C ≈ 69.1 cm

For the large pizza with a diameter of 30 cm, the circumference can be calculated as follows:

C = πd

C = 3.14 x 30

C ≈ 94.2 cm

To know more about diameter here

https://brainly.com/question/22516483

#SPJ1

(40 POINTS)

Data based on past observations can sometimes predict future performance.

a. Give an example where past performance does predict future performance. Explain your reasoning.


b. Give an example where past performance does not predict future performance. Explain your reasoning.

Answers

An example of where past performance does predict future performance would be Mt. Kīlauea's eruption in 2018.

An example of where past performance does not predict future performance would be the eruption of Hualālai last happening in 1801.

What does the data show on volcanoes ?

Using past data, there was a prediction that Mt. Kīlauea would erupt in the year 2018 and it did happen ( even though it was not very serious ) at the Lower East rift zone of the volcano. Past performance therefore predicted the future.

However, the same prediction said that Hualālai would erupt in 1854 and yet the volcano has not erupted since 1801 which shows that the prediction was wrong.

Find out more on past performance at https://brainly.com/question/30695336

#SPJ1

Question 1b Match each expression on the left with an equivalent expression on the right. Some answer options on the left side will be used more than once. 132 ÷ 11 28 2 288 126 7)98 sixty-four divided by four Jestion ID: 29430 Clear 1b of 12 48 3 36 ÷ 2 36 ÷ 3 Click and hold an item in one column, then drag it to the matching item in the other column. Be sure your cursor is over the target before releasing. ​

Answers

The equivalent expression for the given expression 132/11 is 12.

1) Given that, 132/11

Here, the equivalent expression is 132/11 =12

2) 126/7 = 18

3) 7)98(14

      7

_______

     28

     28

________

      0

4) Sixty-four divided by four

That is, 64/4 = 16

5) 28÷2

= 28/2

= 14

6) 28/2 = 14

7) 48/3 = 16

8) 36÷2

= 36/2

= 18

9) 36÷3

= 36/3

= 12

Therefore, the equivalent expression for the given expression 132/11 is 12.

To learn more about an equivalent expression visit:

https://brainly.com/question/28170201.

#SPJ1

solve all four parts

Answers

The rocket will hit the ground after 19.09 seconds.

How to calculate projectile

a) The height of the rocket can be describe as:

h(t) = -16t² + 210t + 75

where

t = time in seconds

h(t) = height of the rocket in feet

b) To find the time at which the rocket reaches its maximum height, we need to find the vertex of the parabolic function. The vertex is given by the formula:

t = -b/(2a)

where

a = -16

b = 210

Substituting these values, we get:

t = -210/(2(-16)) = 6.5625 seconds

To find the maximum height, we substitute this value of t back into the equation for h(t):

h(6.5625) = -16(6.5625)² + 210(6.5625) + 75 = 690.625 feet

This means that the rocket reaches its maximum height of 690.625 feet after 6.5625 seconds.

c) We need to find the time interval during which the height of the rocket is greater than 721 feet. We set the height function h(t) greater than 721 and solve for t:

-16t² + 210t + 75 > 721

-16t² + 210t - 646 > 0

Solving for t using the quadratic formula, we get:

t < 2.975 or t > 14.038

Therefore, the rocket will be more than 721 feet above ground level between 0 and 2.975 seconds, and between 14.038 and infinity seconds.

d) To find the time at which the rocket hits the ground, we set h(t) equal to 0 and solve for t:

-16t² + 210t + 75 = 0

Solving for t using the quadratic formula, we get:

t = [tex]\frac{-b \± \sqrt{b^{2} - 4ac } }{2a}[/tex]

a = -16, b = 210, c = 75

t = [tex]\frac{-210 \± \sqrt{210^{2} - 4(16)(75) } }{2(-16)}[/tex]

t = [tex]\frac{-210 \± \sqrt{22225} }{-32}[/tex]

t = [tex]\frac{-210 \± 149}{-32}[/tex]

t = 2.53125 or t = 13.53125

Since the rocket was launched from the top of a 75-foot building, it will hit the ground after an additional time of:

t + 2.53125 = 5.09375 seconds or t + 13.53125 = 19.09375 seconds

Learn more about projectile here:

https://brainly.com/question/8104921

#SPJ1

Please answer a) b) and c)
I’ll give 65 points

Answers

a

1.5/4

b

0.5/4

c

0.5/4

because half of 3 is 1.5

Answer:

I'm pretty sure the answer is B(

Other Questions
Evaluate the model. what parts would you change in the model to make it represent this cycle correctly? The nine members of a coed intramural volleyball team are to be randomly selected from nine college men and ten college women. To be classified as coed the team must include at least one player of each gender. What is the probability the selected team includes more women than men? Every 12 minutes, Bus A completes a trip from P to Xto S to X to P. Every 20 minutes. Bus B completes atrip from Q to X to T to x to Q. Every 28 minutes,Bus C completes a trip from R to X to U to X to R. At1:00 p. M. , Buses A, B and C depart from P. Q and R. respectively, each driving at a constant speed, and eachturning around instantly at the endpoint of its route. Each bus runs until 11:00 p. M. At how many timesbetween 5:00 p. M. And 10:00 p. M. Will two or more busesarrive at X at the same time? Samantha is designing a new three-dimensional puzzle in the form of a square pyramid. She knows that the design and the general formula for finding the volume are as follows, where h is the height and a is the side length of the base. All of her measurements are in centimeters.An illustration of a pyramid, with the height of h and width a.Samantha's puzzle must have a certain volume and height, but she needs to determine the side length of the base to complete the design. Which equation can Samantha use to find the side length of the base in terms of the volume and height of her puzzle? How does Thor regain his strength as a ruler with the help of others? Use at least THREE specific details from the text to support your answer Reflection on how the movie Lorax draws upon themes and events from the unit Conservation as a National Duty. (I only need 8 or 10 sentences) Lily's age is 2 years and 4 months.Hugo's age is 1 year and 8 months.Write Lily's age in months as a fraction of Hugo's age in months.Give your answer in it's simplest form. 21. How many times larger is the volume of a cone if the height is multiplied by 3? Why was Hanford chosen as the site for plutonium production? Check all that apply. Of the 7 footnotes, only footnote ______ reveals evidence of the authors bias (a) Find the size of angle PQR. Reason (b) Find the size of angle PRQ. Reason (c) Find the size of angle POQ.. Reason write a statement that constructs a scanner object, stored in a variable named input, to read the file input.txt, which exists in the same folder as your program. Joseph measures the ropes to tie boats to a dock. He records the lengths of the ropes in feet and then makes a line plot. Joseph concludes that the difference between the longest and shortest lengths is 2 1/2 feet. Martha disagrees and says that the difference is only 1 foot who is correct? no links please what were european explorers searching for when they sailed to the americas? ealth Education21.2 Quiz: Physical FitnessMatch each individual to the correct category using height and weightinformation.Amir is five feet nine inches tall and weighs 120 pounds.Julie is five feet seven inches tall and weighs 170 pounds.Pat is five feet tall and weighs 100 pounds.NormalUnderwei EOverweight PREVIOUSAmirPatJulie He led the non-Communist Chinese fighters to defend their country "Space Radiation Won't Stop NASA's Human Exploration" includes the claim that NASA is working to keep space travelers safe from radiation. Does the article include relevant and sufficient evidence to support this claim? select all that apply. A) Yes, the evidence is relevant because NASA explains the protective technologies it is developing, such as shielding concepts and pharmaceutical countermeasures. B) No, the evidence is not sufficient because the analyst who is quoted is relying on his own opinions regarding NASA rather than facts. C) Yes, the evidence is sufficient because the article includes multiple examples. D) No, the evidence is not relevant because it focuses on the harmful effects of radiation My grandmother came to the United States from Ireland before the Great Depression. A. Common noun B. Proper noun You want to completely boil 500g of water that is at 15C. How much energy is needed to accomplish this? Please help!which revised research question best responds to the information found in the source?