Tara and her parents want to save at least $40,000 for college in 8 years. Which statement describes the most effective savings plan for Tara and her parents to meet their goal?

Answer:

a. The tank would hold a 2,600.136 m^3 or 2,600,136 liters of fuel

b. The rate at which the fuel is being used is 305,898.35 liters of fuel per minute

Step-by-step explanation:

a. Since the tank is cylindrical in shape, we can mathematically calculate the volume of the cylinder so as to know the amount of fuel it will hold.

Mathematically, the volume of a cylinder;

V = π * r^2 * h

where r is the radius which is the diameter divided by 2 = 8.4/2 = 4.2 meters in this case

h is the length here(in place of the conventional height) = 46.9 meters

π = 22/7

Plugging these values into the equation, we have;

V = 22/7 * 4.2^2 * 46.9 = 2,600.136 m^3 of fuel

Since 1 m^3 = 1000 liters

then 2,600.136 m^3 = 2,600.136 * 1000 = 2,600,136 liters( liters is a more comfortable unit when talking about liquids such as fuel)

b. Now we want to know the rate at which the fuel is used

What we need here is to just divide the volume of fuel used by the number of minutes it took the tank to be emptied

That would be = 2,600,136/8.5 = 305,898.35 liters/minute

Answer:Slope is -5. y-intercept is 4

Step-by-step explanation:

y=mx+c m=slope y-intercept=c

y=-5x+4

Comparing both equations we m=-5 and c=4 meaning slope =-5 y-intercept=4

Answer:

63 ride the bus

Step-by-step explanation:

of means multiply

25% * 252

Change to decimal form

.25* 252

63

Step-by-step explanation:

Length of the room is 5 ft and the width is 8 ft.

Perimeter is equal to the sum of all sides of the room.

The shape of room is rectangle.

The perimeter of rectangular room is given by :

[tex]P=2(L+B)\\\\P=2(5+8)\\\\P=26\ ft[/tex]

Area of a rectangular shaped room is given by :

[tex]A=L\times B\\\\A=5\times 8\\\\A=40\ ft^2[/tex]

So, the perimeter and area of the rug are 26 feet and 40 sq feet.

Answer:

Triangle A: acute

Triangle B: acute

Triangle C: obtuse

Triangle D: right

Step-by-step explanation:

acute= less than 90 degrees each angle

obtuse=more than 90 degrees for one angle

right=equal exactly 90 degrees for one angle

Answer:

A=Acute

B. Acute

C.Obtuse

D.Right

Step-by-step explanation:

a,and b, and  are acute becuase there angles are less than 90 degrees.

d is obtuse beucase the angleismore than 90 degrees

D is right beucase the angle is 90 degrees and it hasthat square in the corner.

Answer:

6x^8 + x^6 + 4x^4 + 0x^2 - 3

Step-by-step explanation:

Rewrite this in descending order by powers of x:

6x^8 + x^6 + 4x^4 + 0x^2 - 3x^0

or

6x^8 + x^6 + 4x^4 + 0x^2 - 3

Answer:

Option B.

Step-by-step explanation:

Given question is incomplete; find the question in the attachment.

Given figure shows the parking spaces are divided by the parallel lines.

Here the two lines having ∠1 and ∠2 are parallel and a transverse is intersecting these lines.

By alternate interior angles theorem, ∠1 and ∠2 will be equal in measure.

Therefore, Option B. will be the answer.

Answer:

See explanation below.

Step-by-step explanation:

First, read this explanation of how to understand probability numbers.

A probability number is a number from 0 to 1. It can be written as a decimal, a fraction, or a percent, but it must be from 0 to 1. The numbers 0, 25%, 1/3, 0.75 are all examples of probabilities since they are all from 0 to 1. 25% is the same as 0.25; 1/3 is the same as 0.333... All probabilities are expressed as 0, 1, or a number in between 0 and 1.

A probability of 0 means the event will not happen. It is an impossibility.

A probability of 1 or 100% is a sure thing it will happen. It is certain it will happen.

A probability of 50% or 0.5 or 1/2 means it is as likely to happen as it is not to happen.

A probability of between 0 and 0.5 is more likely not to happen than to happen.

A probability of between 0.5 and 1 is more likely to happen than to not happen.

Now let's look at each one of the probabilities in your problem.

1. 1/4

1/4 is the same as 0.25 which is between 0 and 0.5. It is more likely to not happen.

1. b. Unlikely

2. 0.0

0.0 will definitely not happen.

2. e. Impossible

3. 0.50

0.50 can just as easily happen or not happen.

3. d. Equally Likely

4. 100%

100% is the same as 1. A probability of 1 means an event that is certain to happen.

4. a. Certain

5. 75/100

75/100 is the same as 3/4 and 0.75; 0.75 is between 0.5 and 1, so it is more likely to happen than to not happen.

5. c. Likely

Answer:

x >-2

Step-by-step explanation:

-3 (x -3) > 5 - 5x

Distribute

-3x +9 > 5-5x

Add 5x to each side

-3x +9+5x > 5-5x+5x

2x +9> 5

Subtract 9 from each side

2x+9-9>5-9

2x > -4

Divide each side by 2

2x/2 >-4/2

x >-2

Answer:

A. x > -2.

Step-by-step explanation:

-3 (x -3) > 5 - 5x

-3x + 9 > 5 - 5x Subtract 9 from both sides and add 5x to both sides:

-3x + 5x = 5 - 9

2x > -4

x > -2.

Answer: w=2 and 2=6

Step-by-step explanation:

If you substitute 6 and 2 in for w they both work, making c the correct answer

Answer:

w = 2 and w = 6

Step-by-step explanation:

Given

[tex]\frac{w}{2w-3}[/tex] = [tex]\frac{4}{w}[/tex] ( cross- multiply )

w² = 4(2w - 3) ← distribute

w² = 8w - 12 ( subtract 8w - 12 from both sides )

w² - 8w + 12 = 0 ← in standard form

(w - 2)(w - 6) = 0 ← in factored form

Equate each factor to zero and solve for w

w - 2 = 0 ⇒ w = 2

w - 6 = 0 ⇒ w = 6

The complete question is;

Five people buy individual insurance policies. According to the research, the probability of each of these people not filing a claim for at least 5 years is 2/3.

The probability that all 5 have not filed a claim after 5 years is A: 0.132 B: 0.868 C: 1 , and the probability that exactly 3 will have filed a claim after 5 years is A: 0.016 B: 0.033 C: 0.067

Answer:

1) P(all 5 file no claim after 5 years) = 0.132

2) P(exactly 3 file claim after 5 years) = 0.033

Step-by-step explanation:

1) we are told that the probability of each of these people not filing a claim for at least 5 years is 2/3.

Thus, for all 5 of them,

The probability will be;

P(all 5 file no claim after 5 years) = (2/3)^5 = 0.1317 ≈ 0.132

2) since probability of each not filing a claim for last 5 years = 2/3

Then probability of each filing a claim after 5 years = 1 - 2/3 = 1/3

So, P(exactly 3 file claim after 5 years) = (1/3)^3 ≈ 0.037.

The closest answer is 0.033.

Answer: not have filed a claim: 0.132

Will have filed a claim 0.165

Step-by-step explanation: I got this right on Edmentum

Answer:

x>-5

Step-by-step explanation:

12x-10>10x-20

2x-10>-20

2x>-10

x>-5

Answer:

D

Step-by-step explanation:

The formula for the surface area of a square pyramid is [tex]a^2+2a\sqrt{\dfrac{a^2}{4}+h^2}[/tex], where a is the length of one of the base side lengths and h is the height. Plugging in the given values into this equation, you get:

[tex]75^2+2(75)\sqrt{\dfrac{75^2}{4}+90^2}=[/tex]

[tex]5625+150\cdot \sqrt{9506.25}=[/tex]

[tex]5625+14625=[/tex]

[tex]20,250[/tex]  square yards, or answer choice D.

Hope this helps!

Answer:

0.0154°

Step-by-step explanation:

In this problem we are required to solve for x, which is the angle, there are two ways to go about about it, we either use four figure table or calculator.

To use calculator remember to set your calculator in degrees and not in radian.

Punch sin 0.8829=0.0154°

Answer: The angle is 62.77°

Step-by-step explanation:

Here we can use the inverse function of the sin, the arcsin, this function is such that:

Asin(sin(x)) = x

and we have that sin(x) = 0.8829

Asin(sinx)) = Asin(0.8829) = 62.77°

The angle x, in degrees, is 62.77°

Answer:

B

Step-by-step explanation:

asdddddddddddddddddddddddddddddddsdasdasdasdasdas

Answer:

b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

The answer is triangle D because you can only apply the Pythagorean Theorem to right triangles

Answer:

Carter's coins could be;

3 of 5¢, 2 of 10¢, 1 of 25¢, and 1 of 50¢

Step-by-step explanation:

The available coin denominations are;

1¢ = 1 penny, 5¢, 10¢, 25¢, 50¢, and $1.00

Since the coins are more than $0.95, we can have;

5¢ × 3

10¢× 2  

25¢× 1

50¢

Total = $1.00

That is his coins could have been 3 × 5¢, 2 × 10¢, 1 × 25¢, and 1 × 50¢, to make a total of 7 coins with an amount value of $1.00.

Answer:

70

Step-by-step explanation:

69.65

We look at the tenths place to determine if we round up or leave it alone

.6 is greater then or equal to five so we need to round the 9 up

69.65 rounds to 70

Answer:

C

Step-by-step explanation:

Rounding 69.65 to the whole number would be 70

Answer:

113 feet away

Step-by-step explanation:

This one is just simple maths! 36 + 77.

Hava a great day!

Answer:

Perimeter =63 inches

Area = 243in²

Step-by-step explanation:

Given data

Length of computer = 18in

Width of computer = 13.5in

From the given data the computer has a rectangular shape

Perimeter of the computer = L+L+W+W= 2L+2W

Perimeter = 2(18)+ 2(13.5)

Perimeter = 36+27=63 inches

Area of rectangular shape = L*W

Area = 18 x 13.5= 243in²

Answer:

Perimeter: 63 inches

Area : 243 square inches  

Step-by-step explanation:

Hi, to answer this question w eave to apply the next formulas:

Perimeter of a rectangle: (2 x width) + (2 x length )

Area of a rectangle: width x length

Replacing with the values given:

Perimeter: 2(18) +2(13.5) = 36+27 = 63 inches

Area = 18 x 13.5 = 243 square inches  

Feel free to ask for more if needed or if you did not understand something.

Answer:

11) 30.7

12) 16.3

Step-by-step explanation:

11)

[tex]\dfrac{\sin 50}{12}=\dfrac{\sin B}{8}[/tex]

Multiply both sides by 8:

[tex]\sin B=\dfrac{2\sin 50}{3}[/tex]

[tex]B=\sin^{-1}\dfrac{2\sin 50}{3}\approx 30.7[/tex]

12)

[tex]\dfrac{\sin 25}{7}=\dfrac{\sin 80}{C}[/tex]

[tex]C=\dfrac{\sin 80}{\frac{\sin 25}{7}}\approx 16.3[/tex]

Hope this helps!

Answer:

                 Statements                                                   Reasons

1. [tex]MN \parallel AC[/tex]                                                    1. Given

2. [tex]AK = KC[/tex]                                                  2. Given

3. [tex]m \angle NAC = m\angle MCA[/tex]                                 3. Base angles theorem.

4.  [tex]m \angle NAC = m\angle MNA[/tex]                               4. Alternate interior angles.

5. [tex]m \angle MCA = m \angle NMC[/tex]                               5. Alternate interior angles.

6. [tex]MK = NK[/tex]                                                6. Isosceles triangle theorem.

7. [tex]m \angle MKA = m \angle NKC[/tex]                               7. Vertical angles.

8.  [tex]\triangle MKA \cong \triangle NKC[/tex]                                   8. By SAS postulate.

9. [tex]m \angle MAK = m \angle NCK[/tex]                               9. By CPCTC.

10.                                                                  10. Sum of adjacent angles.

[tex]m\angle MAK + m \angle NAC = m \angle NCK + m \angle MCA\\m \angle A = m \angle C[/tex]

11. [tex]\triangle ABC[/tex] is isosceles                                  11. Base angles theorem.

Answer:

[tex]6x + 42[/tex]

Step-by-step explanation:

Apply the distributive property:

[tex]6x + 6 \times 7[/tex]

Multiply 6 by 7

[tex]6x + 42[/tex]

Answer:

In this subtraction, PR5T and 47Y6 represent 4-digit numbers. What number does PR5T represent?

PR5T - 47Y6 = 1998

Answer:

Step-by-step explanation:

Answer:

The Answer Is 2/3

Step-by-step explanation:

If you look at the shaded area it is 2 shaded out of 3 which means 2/3

Answer:

2/3

Step-by-step explanation:

There are 3 blocks and 2 of those 3 are shaded.

Hope this helps

Please mark me as Brainliest

Answer:

Yes

Step-by-step explanation:

-20.33 is rational. It has a terminating decimal.

Terminating and repeating decimals are rational. Decimals that are never ending and does not have a repeating pattern of decimals are irrational.

-20.33 = [tex]-20\frac{33}{100}[/tex]

Answer: four million two hundred fifty thousand.

Step-by-step explanation: