*PLEASE ANSWER* Compare the volume of these two shapes,given their radii and heights are the same .

*PLEASE ANSWER* Compare The Volume Of These Two Shapes,given Their Radii And Heights Are The Same .

Answers

Answer 1

Answer:

The correct option is;

Left object volume = right object volume

Step-by-step explanation:

The shapes given in the question are two circular cones that have equal base radius and equal height

The formula for the volume, V of a circular cone = 1/3 × Base area × Height

The base area of the two shapes are for the left A = π·r², for the right A = π·r²

The heights are the same, therefore, the volume are;

For the left

[tex]V_{left}[/tex] = 1/3×π·r²×h

For the right

[tex]V_{right}[/tex] = 1/3×π·r²×h

Which shows that

1/3×π·r²×h  = 1/3×π·r²×h and [tex]V_{left}[/tex]  = [tex]V_{right}[/tex], therefore, the volumes are equal and the correct option is left object volume = right object volume.

Answer 2
left object volume = right object volume

Related Questions

Jordan is solving this system of equations: y = 2x2 + 3 and y – x = 6. Which statements are true about Jordan’s system? Check all that apply. The quadratic equation is in standard form. Using substitution, the system of equations can be rewritten as 2x2 – x – 3 = 0. There are two real number solutions. There are no real number solutions. A solution of the system of equations is (–1, 1.5).

Answers

Three Answers: choice A, choice B, choice C.

Basically the first three items are true, with the rest false.

=========================================================

Explanation:

Let's go through each answer choice one by one to see if it is true or false.

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

A. The quadratic equation is in standard form.  

This is true. Standard form for quadratics is y = ax^2+bx+c. In this case, a = 2, b = 0, c = 3. It might help to write the equation as y = 2x^2+0x+3.

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

B. Using substitution, the system of equations can be rewritten as 2x2 – x – 3 = 0.  

This is true. Start with y-x = 6. Replace y with 2x^2+3 and we get

2x^2+3-x = 6

From here we subtract 6 from both sides

2x^2+3-x-6 = 6-6

2x^2-x-3 = 0

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

C. There are two real number solutions.  

This is true. When you graph the two equations (I recommend GeoGebra but Desmos is another good tool), you'll see they intersect at two different locations. Each location is a solution in the form (x,y).

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

D. There are no real number solutions.  

This is false. It contradicts choice C.

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

E. A solution of the system of equations is (–1, 1.5).

This is false. The two solutions are (-1, 5) and (1.5, 7.5) which is where the two graphs intersect.

Another way to check is to plug x = -1 into either equation. You'll find the result to both is y = 5 instead of y = 1.5

Answer:

its ABC

Step-by-step explanation:

-36 4/9 - (-10 2/9)-(18 2/9)​

Answers

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[tex]-364/9-(-102/9)-(182/9)​[/tex]

[tex]= \frac{148}{3}[/tex] (Decimal: -49.333333)

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If this helped you, could you maybe give brainliest..?

❀*May*❀

HERE IS THE ANSWER IF YOU SIMPLIFY — 1576/45

Many school districts have a summer vacation that is 72 days long. What percent of the entire year is summer vacation?

Answers

Answer:

20%

Step-by-step explanation:

20% is the answer to this question

Find all points having an x- coordinator of 5 whose distance from the point (-1,-3) is 10. (type an ordered pair. Use a comma to separate answers as needed.)

Answers

Answer:

(5,5) and (5,-11)

Step-by-step explanation:

You can find this out by plotting a circle with the diameter of 10 on the point "(-1,-3)". Then find all the times the circle is on the x axis of 5.

Answer:

so when the mughal emperor humayun had died akbar his son was put as kind of india he was 10 yearls old when his father died and then Bairam Khan was elected as a regent for Akbar.

Step-by-step explanation:

Jamaal spent x minutes today practicing his guitar and y minutes today on homework. If the total time he spent on both is 45 minutes or more, which inequality best represents his practice time?

x + y < 45
x + y > 45
x + y ≤ 45
x + y ≥ 45

Answers

Answer:

x + y ≥ 45

Step-by-step explanation:

This is because the total amount of minutes could be equal to 45, meaning your inequality sign has to have a line underneath it.

Additionally, x + y is greater than or equal to because the amount could be more than 45... therefore, 45 is not greater than x + y

Hi there! Hopefully this helps!

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

If the total time he spent on both is 45 minutes or more, the answer is:

x + y ≥ 45.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hints for next time

( Means greater than or equal to.)

( Means less than or equal to)

(> Greater than)

(< Less than)

a countrys population in 1995 was 206 million. In 1998 it was 210 million. Estimate the population in 2008 using the exponential growth formula. Round your answer to the nearest million

Answers

Answer:

254 million

Step-by-step explanation:

In a calculator it would to

210 x 1,0194^(10)

hi! the answer would be 254 million! the formula is P = P0e^rt. these letters / numbers represent:

P = total population
P0= starting population
r = % of growth
t = time
e = Eulers number

add the numbers in the problem below to solve, and then round! that’s how you get the correct answer!!

hope this helped!:)

Solve. 4x - 2 ——— = -7 2

Answers

Answer:

  x = -3

Step-by-step explanation:

Dividing by 2 is the same as multiplying by 1/2. The distributive property applies.

  [tex]\dfrac{4x-2}{2}=-7\\\\2x-1=-7\quad\text{simplify}\\\\2x=-6\quad\text{add 1}\\\\\boxed{x=-3}\quad\text{divide by 2}[/tex]

the answer would be

x=-3


Find the slope of the line.

4/3

-4/3

-3/4

3/4

Answers

Answer:

-3/4

Step-by-step explanation:

slope is rise over run so you go down 3 first is is -3, and then right 4 times which  means the slope is -3/4

Answer is -3/4 because you gotta do rise over run so you do -3 over 4 and that’s your slope

Halfway through the second quarter, what fructional part of the game is left?

Answers

Answer:

5/8 of the game

Step-by-step explanation:

Half of a quarter is 1/2, and 1 quarter is already done, therefore 1/2, or to simplify it 1/8, plus 2/8, would be 3/8. Now, a quarter is 1/4th of something therefore there must be 4 quarters in a total.so that means that there are 8 halfves  in total , so 8-3=5, so the fractional parts of the game left is 5/8.

The part of the game i.e. left should be [tex]5\div 8[/tex]

Calculation of the part of the game:

Since the half of the quarter is one-half. And, the one quarter is done so one-half is remaining. That means

[tex]= 1\div 8 + 1\\\= 2\div 8[/tex]

Since one-fourth should be of something also there are total 4 quarters that means there are 8 halves.

So, remaining it should be

= 8 -3

= 5

Hence, The part of the game i.e. left should be [tex]5\div 8[/tex]

Learn more about game here: https://brainly.com/question/1415899

HELP HELP HELP HELP HELP HELP!!! What symbol is needed between –2 ? |–3| to make a true statement?

Answers

Answer:

[tex]\boxed{<}[/tex]

Step-by-step explanation:

[tex]-2 \ ? \ |-3|[/tex]

[tex]\sf Solve \ absolute \ value.[/tex]

[tex]|-3|=3[/tex]

[tex]-2 < 3[/tex]

[tex]\sf -2 \ is \ less \ than \ 3.[/tex]

Answer:

<

Step-by-step explanation:

|-3| = 3

-2 < 3

A recipe calls for 1/6 teaspoon of oregano and 1 1/4 teaspoon of pepper. What is the ratio of oregano to pepper
a. 1:12
b. 2:15
c. 1:3
d. 2:3

Answers

Answer:

b. 2:15

Step-by-step explanation:

oregano : pepper

1/6                1 1/4

Changing to an improper fraction

1/6                 5/4

Multiplying by 12 to get rid of the fractions

12 * 1/6           12*5/4

2                       15

1/6 = 1/6
1 1/4= 5/4
12•1/6=2
12•5/4= 15
ANSWER: 2:15

If 6 • 3 = 18, then 4 + 8 = 20. T F → F T T → T F T → T F F → T

Answers

Answer:

False.

Step-by-step explanation:

For the statement: "If 6 • 3 = 18, then 4 + 8 = 20.":

6 * 3 = 18

If you added two after multiplying 6 and 3, you would get 20.

(6*3) + 2 = 20

8 + 4 does not equal 20.

8 + 4 = 20

12 ≠ 20

False byvgctdbuvy fr fyp

Question 5
Kate is finding the factors of a large number. Using
a calculator, she has just worked out that 66 is a
factor of this number.
Suddenly, she realises that 22 must be a factor of
the large number as well. Explain why Kate is
correct.

Answers

Explanation : If 66 is a factor of this unknown value, then 22 must be as well considering that 22 is a factor off 66. Let's say that this large value is 330. It is a multiple of 66, as 66 [tex]*[/tex] 5 = 330. At the same time 22 [tex]*[/tex] 15 = 330, so 330 is a multiple of 22 as well - or vice versa, 12 is a factor of 330.

We can also tell that 15, 22 fit into 330 through another approach. 22 [tex]*[/tex] 3 = 66, and 66 [tex]*[/tex] 5 = 330, so 5 [tex]*[/tex] 3 = 15 - the same value. This proves that 22 will always be a factor of a value that is the factor of 66.

Any multiple of the number will be a factor or result of the number It could factor in or go into an equal amount of times

i need to know what the answer is!?

Answers

Answer:

2

Step-by-step explanation:

Use PEMDAS

First simplify the exponent (9)

Next multiply 5 and 3 (15)

Now add 15 and 15 (30)

Add 9 and 6 (15)

Lastly simply 30 by 15 (2)

Answer:

[tex]\boxed{A. 2}[/tex]

Step-by-step explanation:

Hey there!

Well we first need to solve the top part.

15 + 5 * 3

5*3 = 15

15 + 15 = 30

3^2 + 6

3*3 = 9

9+6 = 15

Now we have 30 ÷ 15 = 2.

Hope this helps :)

What is the reference angle for 4560 degrees?

Answers

Answer:

30 degrees

Step-by-step explanation:

Answer:

30°

Step-by-step explanation:

4560° ÷360°= 12.667 (5 s.f.)

This means that the angle 4560° goes around from quadrant I to quadrant IV 12 times, before coming back to quadrant I. The 13th round does not reach quadrant IV.

So, let's find the angle covered after the 12 full rounds.

12 ×360°= 4320°

remaining angle left

= 4560° -4320°

= 240°

See the attached picture to see where 240° will lie in the quadrants. It lies in quadrant III and its reference angle is the red coloured angle in the picture.

Reference angle

= 270° -240°

= 30°

Dave loves a bargain and buys a feather boa which
has been reduced in price by 70%. If the sale price
is £2.85, what was the original price of the boa?

Answers

Answer:

£9.50

Step-by-step explanation:

if the price was reduced 70%, then Dave is paying 30% of the original.

0.3 of £ = 2.85

£ = 2.85 / 0.3

£ = 9.5

£9.50

Answer:

$4.84

Step-by-step explanation:

2.85*.70=1.99

2.85+1.99=4.84

A graph is shown. The x-axis is labeled from 0 to 9 and the y-axis is labeled from 0 to 10. The four points shown on the graph are ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6. These points are joined by a line. The label on the x-axis is Bags of candy. The title on the y-axis is Total cost in dollars. What is the constant of proportionality?

Answers

Answer:

Heres the graph:

Step-by-step explanation:

Constant is $2 dollars per bag od candy or just 2.

Answer:

2

Step-by-step explanation:

from (0,0) ⇒ (1,2) ⇒ (2,4) ⇒ (3,6)

∴ 2

Albert has 40 toy cars. Brad has 15 fewer toy cars than Albert, but 7 more than Chris. How many toy cars do they have all together?

Answers

Answer:

83

Step-by-step explanation:

40 - 15 = 25

25 - 7 = 18

40 + 25 + 18 =

83

We know that Albert has 40 toy cars.

If Brad has 15 fewer cars than Albert, Brad has 40 - 15 or 25 cars.

Now, we know that Chris has 7 fewer cars than Brad.

So Chris would have 18 cars.

Altogether, they would have 40 + 25 + 18 cars or 83 cars.

The length of a rectangular picture is 5 inches more than three times the width. Find the dimensions of the picture if its perimeter is 74 inches.

Answers

Answer:

Length = 29 inchesWidth = 8 inches

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length of the rectangle

w is the width

From the question

length of a rectangular picture is 5 inches more than three times the width is written as

l = 5 + 3w

Now substitute this into the above equation

Perimeter = 74 inches

74 = 2(5 + 3w) + 2w

74 = 10 + 6w + 2w

8w = 74 - 10

8w = 64

Divide both sides by 8

w = 8 inches

Substitute w = 8 into l = 5 + 3w

That's

l = 5 + 3(8)

l = 5 + 24

l = 29 inches

Length = 29 inchesWidth = 8 inches

Hope this helps you

Length-29 inches
Width-8 inches

Sorry if im wrong i tried my best. God bless u

A gallon of paint covers 825 square
feet. How much paint is needed to
paint a house with a surface area of
6600 square feet?

Answers

Answer:

8 gallons

Step-by-step explanation:

1 gallon → 825 sq. feets

X Gallons → 6600 sq. feets

X=6600÷825= 8

Answer: 8 gallons

Step-by-step explanation:

If 1 gallon of paint covers 825 square feet, divide 6600 square feet by 825 square feet to determine the amount of paint needed to paint the house which would be 8 gallons.

HELP! QUICK!
What is the equation for the parabola with focus (2,7) and directrix y = -2?

Answers

Answer:

1/18(x-2)^2+45/18=y

Step-by-step explanation:

(x-2)^2+(y-7)^2=(y+2)^2

(x-2)^2+y^2-14y+49=y^2+4y+4

(x-2)^2-14y+49=4y+4

(x-2)^2+45=18y

1/18(x-2)^2+45/18=y

18 = y

Also puts thanks on his /\

PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!!

Answers

Answer:

hope this is ok...

1. a) f(h) = -4

  b) f(h) = 4

  c) f(h) = -6

  d) f(h) = -8

2. a) f(h) = 5

   b) f(h) = 11

   c) f(h) = 3

   d) f(h) = -1

3. a) f(x) = 11

   b) f(x) = -5

   c) f(x) = -245

   d) f(x) = -89

4. f(56) = -29.35 or -29.346046

5. f(200) = 10√2 - 56 or -41.857864 (if u want u can round off the decimal to -41.86)

Step-by-step explanation:

1. f(h) = | h - 10 |

a) f(h) = | 6 - 10 | = -4

b) f(h) = | 14 - 10 | = 4

c) f(h) = | 4 - 10 | = -6

d) f(h) = | 2 - 10 | = -8

2. f(h) = | h - 2 |

a) f(h) = | 7 - 2 | = 5

b) f(h) = | 13 - 2 | = 11

c) f(h) = | 5 - 2 | = 3

d) f(h) = | 1 - 2 | = -1

3. f(x) = x² + 11

a) f(x) = -0² + 11 = 11

b) f(x) = -4² + 11 = -5

c) f(x) = -16² + 11 = -245

d) f(x) = -10² + 11 = -89

4. f(x) = 8√x - 31

a) f(56) = 8√56 - 31 = -29.35

5. f(x) = 2√x - 56

a) f(200) = 2√200 -56 = -41.86

Please mark Brainliest....

Answer:

The other person answer is beyond correct PLEASE mark them brainliest they REALLY deserve that o-o

Need help with this asap.

Answers

(-150,43) it’s an estimate we’re the lines cross. the solution is the point at which the lines cross at
1234567899sadewasdewasdewsdeesaasdwasd

help me please real quick​

Answers

D) 360.

Volume of cuboid = L x b x h = 8 x 5 x 9 = 360.

Answer:

D) [tex]360 m^{3}[/tex]

Step-by-step explanation:

Let's review the formula for finding the volume of a cube or rectangular prism.

[tex]V = (l)(h)(w)[/tex] - Basically saying "Volume = length × height × width".

In this case, you can consider 9 meters as the length, 5 meters as the height, and 8 meters as the width (but it doesn't really matter which dimensions are which since you are just multiplying them all together).

Now, let's multiply our dimensions together.

[tex]9 * 5 * 8 = 360[/tex]

That's your answer! Make sure to not forget your units (in this case, meters) cubed.

Hope that helps and maybe earns a brainliest!

Have a splendid day! <3

HURRY !!! PLEASE HELP!!

Kellianne lined up the interior angles of the triangle along line p below.


Which statements are true for line p? Check all that apply.

It is a straight line with a measure of 360°.

It stays the same even if the angles in the triangle change.

The line will not be straight if one of the angles in the triangle is changed to an obtuse angle.

The line is only straight when one of the angles is a right angle.

It represents the sum of the measures of the interior angles of the triangle.

The line will not be straight if all the angles in the triangle are acute.

It combines the three interior angles of the triangle to form a straight line.

It is a straight line with a measure of 180°

Answers

Answer:

2. it stays the same even if the angles in the triangle change

a. the angles must add up to 180º. a straight line is equal to 180º, so as long as the angles add up to 180º, it will be a straight line.

5. it represents the sum of the measures of the interior angles of the triangle

a. Kellianne lined up the interior angles of the triangle. if added they equal 180º which is the measure of the straight line.

7. it combines the three interior angles of the triangle to form a straight line

a. same answers as previous

8. it is a straight line with a measure of 180º

a. refer to above

hope this helps :)

Answer:

B E H

Step-by-step explanation:

PLEASE HELP ASAP WILL GIVE BRAINLY!!!!!!Some of the steps in the derivation of the quadratic formula are shown:
Step 3: –c + StartFraction b squared Over 4 a EndFraction = a(x squared + StartFraction b Over a EndFraction x + StartFraction b squared Over 4 a squared EndFraction)

Step 4a: –c + StartFraction b squared Over 4 a EndFraction = a(x + StartFraction b Over 2 a EndFraction) squared

Step 4b: negative StartFraction 4 a c Over 4 a EndFraction + StartFraction b squared Over 4 a EndFraction = a(x + StartFraction b Over 2 a EndFraction) squared

Which best explains or justifies Step 4b?

factoring a polynomial
multiplication property of equality
converting to a common denominator
addition property of equality
.

Answers

Answer:

i think it is the third one but dont know just an educational geuss

Step-by-step explanation:

The given steps from the derivation of the quadratic formula are:

Step 3:  [tex]-c+\frac{b^2}{4a}=a(x^2+\frac{b}{a}x+\frac{b^2}{4a^2})[/tex]

Step 4a: [tex]-c+\frac{b^2}{4a}=a(x+\frac{b}{2a})^2[/tex]

Step 4b: [tex]\frac{-4ac}{4a}+\frac{b^2}{4a}=a(x+\frac{b}{2a})^2[/tex]

The property "converting to a common denominator" justifies step 4b. So, option C: "converting to a common denominator" is correct.

What is the quadratic formula?

The quadratic formula is as follows:

x = [-b ± (√b²+4ac)]/2a

This formula is derived from the quadratic equation [tex]ax^2+bx+c=0[/tex].

What are the steps to derive the quadratic formula?

The standard quadratic equation is [tex]ax^2+bx+c=0[/tex]

Step 1: [tex]ax^2+bx=-c[/tex]

Step 2: Taking 'a' as common

[tex]a(x^2+\frac{b}{a}x)=-c[/tex]

Step 3: Adding [tex]\frac{b^2}{4a}[/tex] on both sides

[tex]-c+\frac{b^2}{4a}=a(x^2+\frac{b}{a}x)+\frac{b^2}{4a}[/tex]

⇒ [tex]-c+\frac{b^2}{4a}=a(x^2+\frac{b}{a}x+\frac{b^2}{4a^2})[/tex]

Step 4a: Factoring the polynomial

[tex]-c+\frac{b^2}{4a}=a(x+\frac{b}{2a})^2[/tex]

Step 4b: Converting to a common denominator

[tex]\frac{-4ac}{4a}+\frac{b^2}{4a}=a(x+\frac{b}{2a})^2[/tex]

⇒ [tex]\frac{(-4ac+b^2)}{4a}=a(x+\frac{b}{2a})^2[/tex]

Step 5: Applying square root (on one side there is a square, so, on the other side it gets ±)

⇒ [tex]\frac{(-4ac+b^2)}{4a^2}=(x+\frac{b}{2a})^2[/tex]

⇒ ±[tex]\sqrt{\frac{(-4ac+b^2)}{4a^2}} =(x+\frac{b}{2a})[/tex]

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

step 6: Subtacting [tex]\frac{b}{2a}[/tex] from both the sides

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

⇒ x = [-b ± (√b²+4ac)]/2a

Thus, step 4b best explains or justifies the property "Converting to a common denominator".

Learn more about quadratic formula here:

https://brainly.com/question/9929333

#SPJ2

Patrick graphed (shown below) the high temperatures (in °C) that he experienced on each day of his trip to
Homer, Alaska
What is the meaning of point A?​

Answers

Answer:

(7, -5.5)

Step-by-step explanation:

is seen below on this graph (7, -5.5) shows x = 7 and y = -5.5

(7, 5.5) look ^^ they should help u

1) A furlong is 1/8 of a mile. What part of a mile is 6 furlongs?

Answers

Answer:

6/8 of a mile,

Step-by-step explanation:

if one furlong is 1/8 of a mile, the 6 shall be 1/8 added to itself 6 times, therefore it shall be 6/8.

Answer:

3/4 of a mile

Step-by-step explanation:

1 furlong = 1/8 mile

========     ====

6 forlongs = x

cross multiply

1*x = 6 * (1/8)

x = 6/8

reduce 6/8. Divide top and bottom by 2

x = 3/4

Math Question (10 Points):

Answers

Answer:

1 state

Step-by-step explanation:

You can see this by the state increases by 1, from 14-15, in the graph above.

Also, can you please give me the brainliest answer thing. :)

1 state (hope this helps) <3

PLEASE HELP!! WILL GIVE BRAINLIEST!!!! Complete the following two-way table of column relative frequencies. (If necessary, round your answers to the nearest hundredth.) **note: please provide me with the numbers that are supposed to go in the blank boxes as you can see in the attachment below.**

Answers

Answer:

At company for less than 2 years:

College degree: 0.24

No college degree: 0.76

At company for more than 2 years:

College degree: 0.7

No college degree: 0.3

Step-by-step explanation:

To find the relative frequency for those at the company for less than 2 years with a degree:

5 + 16 = 21

5 / 21 = 0.23809523809

≈ 0.24

To find the relative frequency for those at the company for less than 2 years with a degree:

5 + 16 = 21

16 / 21 = 0.7619047619

≈ 0.76

Check:

0.24 + 0.76 = 1

To find the relative frequency for those at the company for more than 2 years with a degree:

14 + 7 = 21

14 / 21 = 0.666..

≈ 0.70

To find the relative frequency for those at the company for less than 2 years with a degree:

14 + 7 = 21

7 / 21 = 0.333..

≈ 0.30

Check:

0.70 + 0.30 = 1

I really hope this helps! Tell me if I'm wrong!

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How did Jesseca Kusher create her new material? Explain why fermentation stops aftera certain time in makingmaking bread? A project has an initial cost of $40,000, expected net cash inflows of $10,000 per year for 8 years, and a cost of capital of 14%. What is the project's NPV? (Hint: Begin by constructing a time line.) Do not round intermediate calculations. Round your answer to the nearest cent. Describe the similarities between H3O and NH3. Compare/contrast their shapes and polarities within the context of your answer. These molecules are called isoelectronic. Why What of the following is NOT a benefit of the Hoover Dam today?A. IrrigationB. Flood controlC. Mass grain storageD. Hydroelectric power Three people are standing on a Cartesian coordinate plane. Robert is standing at point $(4,3)$, Lucy at point $(6,1)$, and Liz at point $(1,7)$. How many units away is the farther person from Robert? 3(2+7) - 9 x 7 = 3+8 x 2 x 2 - 4 = 16 2 x 5 x 3 6 = Please answer! Why is it commonly believed that carbon dioxide is responsible for global warming?Carbon dioxide levels in the Earth's atmosphere have been steadily decreasing.O Carbon dioxide has a longer average lifetime in the atmosphere.O The warming effect associated with carbon dioxide has remained unchanged.O Other greenhouse gases amplify the effect of carbon dioxide. A student scored in the 60th percentile on her math exam. What does this student's score mean in relation to those of the other test takers? (4 points) a Her score was worse than those of 60% of all test takers. b Her score on the exam was 60%. c Her score was better than those of 60% of all test takers. d Her score was in the top 60% of all test takers' scores.PLEASE HELP!! Suppose taxi fares from Logan Airport to downtown Boston is known to be normally distributed and a sample of seven taxi fares produces a mean fare of $22.31 and a 95% confidence interval of [$20.5051, $24.2091]. Which of the following statements is a valid explanation of the confidence interval. A) 95% of all taxi fares are between $20.51 and $24.21. B) We are 95% confident that a randomly selected taxi fare will be between $20.51 and $24.21. C) The mean amount of a taxi fare is $22.31, 95% of the time. D) We are 95% confident that the average taxi fare between Logan Airport and downtown Boston will fall between $20.51 and $24.21. The sum of 6 even integers is 130 what is the 2nd number in the sequence What is foreign aid ? Why do you like or dislike foreign aid? Present your critical analysis in eight points. If the sample size is increased and the standard deviation and confidence level stay the same, then the margin of error will also be increased.a. Trueb. False Preference decisions compare potential projects that meet screening decision criteria and will be ranked in their preference order to differentiate between alternatives with respect to all of the following characteristics except:________a. importanceb. desirabilityc. feasibilityd. political prominence can somewon help me plx Suppose that the director of manufacturing at a clothing factory needs to determine whether a new machine is producing a particular type of cloth according to the manufacturers specifications, which indicate that the cloth should have a mean breaking strength of 70 pounds and a standard deviation of 3.5 pounds. A sample of 49 pieces reveals a sample mean of 69.1 pounds. (a) State the null and alternative hypotheses. (b) Is there evidence that the machine is not meeting the manufacturers specifications in terms of the average breaking strength? (Use a 0.05 level of significance.) (c) Compute the p-value and interpret its meaning. (d) What will your answer be in (b) if the standard deviation is 1.75 pounds? (e) What will your answer be in (b) if the sample mean is 69 pounds? 2. Calculate the amount of gallons needed to fill the pool shown below. (3 points) Based on predicted production of 17,000 units, a company anticipates $255,000 of fixed costs and $216,750 of variable costs. The flexible budget amounts of fixed and variable costs for 15,000 units are (Do not round intermediate calculations): After balancing the following reaction under acidic conditions, how many mole equivalents of water are required and on which side of the reaction do they appear?MnO41- (aq) + Cl1- (aq) Mn2+ (aq) + Cl2 (g) a. 2 moles of H2O on the reactant sideb. 2 moles of H2O on the product sidec. 4 moles of H2O on the product sided. 8 moles of H2O on the product sidee. 10 moles of H2O on the reactant side Can someone help??????????