Frank monitors the cost of gasoline for his budget. The table below shows Frank's gasoline purchases for the month of June. What was the average cost per gallon for gas during Week 4?

Answer:

The distance the tornado traveled was approximately 205 miles.

Step-by-step explanation:

The equation representing the relationship between the wind speed (in miles per hour) and the distance the tornado travels (in miles) is:

[tex]s=93\log d+65[/tex]

Compute the value of d for s = 280 as follows:

        [tex]s=93\log d+65[/tex]

     [tex]280=93\log d+65[/tex]

[tex]93\log d=280-65\\93\log d=215[/tex]

   [tex]\log d=2.312\\[/tex]

        [tex]d=10^{2.312}\\d=205.035\\d\approx 205[/tex]

Thus, the distance the tornado traveled was approximately 205 miles.

Answer:

European explorers, like Christopher Columbus, were the first to cross the great oceans of the world.

Answer:

A. 54.28 ft^2

Step-by-step explanation:

Area of the parallelogram = 48 ft^2

Area of the semicircles = 6.28 ft^2

A = π r^2

A = 3.14 (2)

A = 3.14 (4)

A = 12.56

12.56 ÷ 2 = 6.28 ft^2

48 + 6.28 = 54.28 ft^2

Answer:

54.28 ft^2

Step-by-step explanation:

Answer:

no. 7 does

Step-by-step explanation:

brainlest please

x increases by three each time but y decreases less each time

Answer: 39 miles

Step-by-step explanation:

Hi, since the travelling forms a right triangle, (see attachment) we have to apply the Pythagorean Theorem formula.

a^2 +b ^2 =c ^2

Assuming a and b are the distances driven, and c the direct direction formed (hypotenuse)

15^2 +36 ^2 =c ^2

225+1,296 =c ^2

1,521 =c ^2

√1,521= c

c= 39 miles

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

Answer:

39 miles

Step-by-step explanation:

Answer:

The answer is 236.52.

Step-by-step explanation:

First you want to figure out the radius of the semi circle so you take the length of 12 and divide it by 2. Then you want to use the formula for area of a circle 3.14 times radius squared and divide that by 2 and add 12x15 to get your answer.

Answer:

a.The cost of making those shirts will be $790

b. The number of shirts that must be sold to recover this cost = 79 shirts.

Step-by-step explanation:

Please kindly check the attached files for explanation.

Answer:

A

Step-by-step explanation:

Tangent = opposite/adjacent

The trigonometric function that can be used when given 2 sides that are not the hypotenuse is tangent.

The sides of a right angle triangle are as follows:

The simplest trigonometric ratio we can use to solve for the angles of a right angle triangle are as follows:

Therefore, the trigonometric function one can use to find the angle of a right angle triangle when given 2 sides apart from hypotenuse is tangent

read more: https://brainly.com/question/23226094?referrer=searchResults

Answer:

b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

It has the least amount of area cut out of it.

Answer:

The answer would be A

Answer:

x ≤ 8

Step-by-step explanation:

"Each" = variable

5 dollar each => 5x

You can spend 40 exactly or less, exactly => equal to

5x ≤ 40

5x/5 ≤ 40/5 (Divide both sides by 5)

x ≤ 5

Given:

In the given diagram

Each small box along X axis = 2 unit

Each small Box along Y axis = 2 unit

For rectangle:

Length = 16 unit

Width = 16 unit

For triangle 1

Base = 8 unit

Height = 6 unit

For triangle 2

Base = 8 unit

Height = 4 unit

For triangle 3

Base = 16 unit

Height = 12 unit

Formula

Area of the trapezoid is

[tex]A = R -T_{1} -T_{2} -T_{3}[/tex]

Where, [tex]A[/tex] be the area of the trapezoid

[tex]R[/tex] be the area of the rectangle

[tex]T_{1} ,T_{2} ,T_{3}[/tex] be the area of the triangle 1, 2 and 3 respectively.

[tex]R = lb[/tex] where, l be length and b the width

[tex]T_{1} = \frac{1}{2} bh[/tex], where, b be the base and h be the height

Now,

Taking, l = 16 and b = 16 we get,

[tex]R = (16)(16)[/tex] = 256 sq unit

For Triangle 1

Taking, b = 8 and h = 6 we get,

[tex]T_{1} = \frac{1}{2}(8)(6)[/tex] sq unit

[tex]T_{1} = 24[/tex] sq unit

For Triangle 2

Taking, b = 8 and h = 4 we get,

[tex]T_{2} = \frac{1}{2}(8)(4)[/tex] sq unit

[tex]T_{2} = 16[/tex] sq unit

For Triangle 3

Taking, b = 16 and h = 12 we get,

[tex]T_{3} = \frac{1}{2}(16)(12)[/tex] sq unit

[tex]T_{3} = 96[/tex] sq unit

Therefore,

The area of the trapezoid is = 256-24-16-96 sq unit = 120 sq unit

Hence,

Area of rectangle =256 square units

Area of triangle 1 = 24 square units

Area of triangle 2 = 16 square units

Area of triangle 3 = 96 square units

Area of trapezoid = 120 square units

Answer:

Area of rectangle =256 square units

Area of triangle 1 = 24 square units

Area of triangle 2 = 16 square units

Area of triangle 3 = 96 square units

Area of trapezoid = 120 square units

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

(2+2+8)/3

brainliest please

Answer:

D. 88 inches

Step-by-step explanation:

to get the circumference of a circle the equation is C=2πr

C=87.96

Final answer:

Every time Micah's wheel turns one full rotation, the bicycle would travel approximately 88 inches.

Explanation:

The student's question relates to the travel distance of a bicycle wheel in one full rotation.

The distance traveled by a wheel in one rotation is equal to the circumference of the wheel, which is calculated by the formula:

Circumference = 2π × radius.

Given Micah's bicycle wheel has a radius of 14 inches, the calculation would be:

Circumference = 2 × π × 14 inches

Circumference = 2 × 3.1416 × 14 inches

Circumference ≈ 88 inches

Therefore, every full rotation of Micah’s 14-inch-radius bicycle wheel will result in the bicycle traveling approximately 88 inches, which is the circumference of the wheel.

Answer:

B) 1/4x+1/2=1/3x

Hope this helps!

Answer:

Probability of a train on line A arriving on time: 80%

Probability of any train arriving on time: 96%

Step-by-step explanation:

If 18 of the 90 incoming trains on line A arrive late, we have that 90 - 18 = 72 trains of the 90 arrive on time, so the probability of a train on line A arriving on time is:

P(A) = 72/90 = 0.8 = 80%

on line B, we have that 70 - 14 = 56 trains of the 70 arrived in time, so the probability of a train from line B arriving on time is:

P(B) = 56/70 = 0.8 = 80%

To find the probability of any train arriving on time, we can use this formula:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.8 + 0.8 - 0.8*0.8

P(A or B) = 1.6 - 0.64 = 0.96 = 96%

The probability that a train on line A arrives on time is 0.8 or 80%. The probability that any train arrives on time, considering both line A and line B, is also 0.8 or 80%.

To calculate the probability that a train on line A arrives on time, we subtract the number of trains that arrive late from the total number of trains on line A:

Probability = (Total trains on line A - Trains on line A that are late) / Total trains on line A

Probability = (90 - 18) / 90

Probability = 72 / 90

Probability = 0.8 or 80%

To calculate the probability that any train arrives on time at the station, we need to consider the total number of trains arriving on time for both lines:

Total trains on time = (Total trains on line A - Trains late on line A) + (Total trains on line B - Trains late on line B)

Total trains on time = (90 - 18) + (70 - 14) = 72 + 56 = 128

Then, we divide the number of trains on time by the total number of trains:

Probability = Total trains on time / Total trains

Probability = 128 / (90 + 70)

Probability = 128 / 160

Probability = 0.8 or 80%

The correct option is D (-∞,-3)∪(-1,1)

Step-by-step explanation:

Given,

[tex]\frac{x^{2}-1 }{3x+9}[/tex] ≤ 0

To find the solution.

The solution could be found if

[tex]x^{2} -1[/tex] ≤ 0           and

3x+9 ≠ 0 [if the denominator is 0, it gives ∞ as solution]

Now,

[tex]x^{2} -1[/tex] ≤ 0

or, (x+1)(x-1) ≤0

or, x ≤1 and x≤-1

Both of the above condition holds is x≤1

Again,

3x+9≠0

or, x≠-3

All the conditions gold for the values (-∞,-3)∪(-1,1)

Hence the correct option is D.

Answer:

(ii) [tex] \frac{1}{2} - \frac{1}{3} [/tex]

(iii) [tex] \frac{25}{51} [/tex]

Step-by-step explanation:

Please see the attached picture for full solution.

Answer: the ratio is 30:47

Step-by-step explanation: this is the most you can simplify this number so it stays like this

hope this helps mark me brainliest if it helped

Answer:

Ratios can be written like so:

a to b

a : b

a/b

There are 30 chopsticks and 47 silverware, and we want the ratio of chopsticks to silverware, so we can write it as

30 to 47

30:47

30/47

Answer:

A  - reflection then rotation

Answer:

[tex]3\sqrt{1089}=3\sqrt{3^2(11)^2}[/tex]

Step-by-step explanation:

Given : Expression [tex]3\sqrt{1089}[/tex]

To find : Select the expression that is equivalent to expression ?

Solution :

Re-write the expression as,

[tex]3\sqrt{1089}=3\sqrt{3\times 3\times 11\times 11}[/tex]

[tex]3\sqrt{1089}=3\sqrt{3^2\times 11^2}[/tex]

[tex]3\sqrt{1089}=3\sqrt{(3\times 11)^2}[/tex]

[tex]3\sqrt{1089}=3\sqrt{(33)^2}[/tex]

[tex]3\sqrt{1089}=3\times 33[/tex]

[tex]3\sqrt{1089}=99[/tex]

The above are the possible equivalent expressions.

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that, the length of the chain is

L= 19m

And the mass of the chain is

M= 84kg

Work to raise the chains to a height of

H = 7m

Acceleration due to gravity

g = 9.8m/s²

Since the chain is 19m long and it has a mass of 84kg

Then, it mass/ length is 84/19

M/L = 4.42kg/m

So, it weight / length is mass / length × gravity

W/L = M/L × g

W/L = 4.42 × 9.8

W/L = 43.33 N/m

So, workdone can be calculated using

Work = ∫F∆x

Work = ∫(W/L)•xdx.

Work = ∫43.33x dx. From x = 0 to 7

Work = 43.33 ∫x dx.

Work = 43.33 x²/2. From x = 0 to 7

Work = 21.66 [x²] from x = 0 to 7

Work = 21.66 ( 7²-0²)

Work = 21.66 × 49

Work = 1061.5 Joule

The workdone to lift the chain to 7m is 1061.5 J

"When work is done to lift the chain to 7m is 1061.5 J. To understand the calculations, check below".

Given that, the length of the chain as per the question is:

L= 19m

And also the mass of the chain is

Then M= 84kg

Now Work to raise the chains to a height of

After that H = 7m

Acceleration due to gravity

Then g = 9.8m/s²

Since When the chain is 19m long and it has a mass of 84kg

Then, it mass/ length is 84/19

M/L = [tex]4.42kg/m[/tex]

After that, it weight / length is mass / length × gravity

W/L = M/L × g

W/L = 4.42 × 9.8

W/L = 43.33 N/m

Then, work done can be calculated using

Work is = ∫F∆x

Work is = ∫(W/L)•xdx.

Then Work = ∫43.33x dx. From x = 0 to 7

After that Work = 43.33 ∫x dx.

Now Work = 43.33 x²/2. From x = 0 to 7

Work is = 21.66 [x²] from x = 0 to 7

Work is = 21.66 ( 7²-0²)

Then Work = 21.66 × 49

Hence Work = 1061.5 Joule

Therefore, The work done to lift the chain to 7m is 1061.5 J

Find  more information about Acceleration due to Gravity here:

https://brainly.com/question/88039

Final answer:

The process of finding the surface area of a rectangular prism is similar to finding the surface area of a triangular prism. Both involve drawing a net and adding the areas of the faces. However, the formulas used are different because the shapes have different types of faces.

Explanation:

For both prisms, you can draw a net to help you find the areas of the faces. Add the areas together to find the surface area. A rectangular prism has only rectangular faces, and you use the formula bh to find area. A triangular prism has triangular and rectangular faces, and you use the area formula bh for rectangular faces and the area formula 1/2bh for triangular faces.

Answer:

From the info you give us it should be around 8.57 in. per book.

Step-by-step explanation:

5x12=60/7=8.57

Answer:

Step-by-step explanation:

270 degrees

Answer:

y = 5x + 75

Step-by-step explanation:

"One time" = no change = constant

"per" = varies per person = variable

It is 5 dollars per ride, 5 dollars per x, 5x.

y = 5x + 75

Answer:

Equation  -8 ≤ 3n+4 ≤ 10

Solution -4 ≤ n ≤ 2

Step-by-step explanation:

sum of 3 times a number and 4

3n+4

is no more than 10  

3n+4 ≤ 10

and no less than -8

-8 ≤ 3n+4 ≤ 10

To solve

Subtract 4 from all sides

-8-4 ≤ 3n+4-4 ≤ 10-4

-12 ≤ 3n ≤ 6

Divide all sides by 3

-12/3 ≤ 3n/3 ≤ 6/3

-4 ≤ n ≤ 2

The answer is $0

She can withdraw all $6000 and not have to pay anything.

Lilly will not have to pay any taxes when she withdraws the entire $6000.

Option B is the correct answer.

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying it by 100.

The percentage change is also calculated using the same method.

In percentage change, we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Since Lilly deposited $3000 into a Roth IRA, that means she had already paid taxes on that money before depositing it.

Therefore, when she withdraws the entire $6000, she will not have to pay any taxes on the original contribution of $3000.

Now,

For the remaining $3000 (the growth), she will also not have to pay any taxes since Roth IRA withdrawals of earnings are tax-free if the account holder is over 59½ and the account has been open for at least five years.

Therefore,

Lilly will not have to pay any taxes when she withdraws the entire $6000.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ7