Some people advise that in very cold weather you should keep the gas tank in your car more than half full Louis car had 6.9 gallons in a 15 gallon tank on the coldest day of the year blue filled the tank with gas that cost 3.90 per gallon how much did we spend on gas

The velocity of the object is 108.8 m/s and the object will take 0.45 seconds to fall 50 feet.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

The time = 3.4 seconds

There is no air resistance.

v = 32t

v = 32(3.4)

v = 108.8 m/s

T = D/S = 50/108.8 = 0.45 seconds

Thus, the velocity of the object is 108.8 m/s and the object will take 0.45 seconds to fall 50 feet.

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Answer:

The expression 42/-7 isn't undefined... The quotient is -6

Step-by-step explanation:

The value of the expression 42 / -7 will be -6 the expression is defined.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

The given expression is 42/-7. The expression will be solved as below:-

E = -42 / 7

E = -6

Therefore, the value of the expression 42 / -7 will be -6 the expression is defined.

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9514 1404 393

Answer:

  s ≥ 60

Step-by-step explanation:

If Scott earned 20 points more on this test, then he earned 20 points less on the last test. 20 points less than "at least 80" is "at least 60."

  s ≥ 60

Answer:

Decimeter is the answer I think

Step-by-step explanation:

let's firstly convert the mixed fractions to improper fractions and then proceed.

\(\stackrel{mixed}{3\frac{1}{9}}\implies \cfrac{3\cdot 9+1}{9}\implies \stackrel{improper}{\cfrac{28}{9}} ~\hfill \stackrel{mixed}{8\frac{1}{3}}\implies \cfrac{8\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{25}{3}} \\\\[-0.35em] ~\dotfill\)

\(-\cfrac{28}{9}~~ - ~~\left( -\cfrac{25}{3} \right)\implies -\cfrac{28}{9}~~ + ~~\left( \cfrac{25}{3} \right)\implies -\cfrac{28}{9} + \cfrac{25}{3} \\\\\\ \stackrel{\textit{using the LCD of 9}}{\cfrac{1(-28)~~ + ~~3(25)}{9}}\implies \cfrac{-28+75}{9}\implies \cfrac{-47}{9}\implies {\LARGE \begin{array}{llll} -5\frac{2}{9} \end{array}}\)

Answer:

c

i think

Step-by-step explanation:

Your problem → (x^8+2x^4+1)+(2x^4+x^2+1)

(x^8+2x^4+1)+(2x^4+x^2+1)

=x^8 + 2x^4 + 1 + 2x^4 + x^2+1

=x^8+2x^4+2x^4+x^2+1+1

=x^8+4x^4+x^2+2

Answer:

A. Reflection

Step-by-step explanation:

I believe the answer would be reflection

Answer:

7 < x < 12

Step-by-step explanation:

To solve this inequality, solve it the same way you do a normal function. Perform the same actions on both sides of the inequality.

\(10 < 2x-4 < 20\\14 < 2x < 24\\7 < x < 12\)

Answer:

He bought 6 chairs and 10 tables.

Step-by-step explanation:

x+y = 16

he spent = $1800

1 chair = $50

y chairs = $50y

1 table = $150

x chairs = $150x

so, 150x+50y = 1800

we got two equations :

x+ y = 16

150x+50y = 1800

Using. substitution method,

x+y = 16

so, x = 16-y

Now

150x+50y =1800

or, 150(16-y) + 50y = 1800

or, 2400-150y+50y = 1800

or, 2400-1800 = 150y-50y

or, 600=100y

so, y = 6

now,

x+y = 16

or, x + 6 = 16

so, x = 10

Answer:

b

Step-by-step explanation:

plato

If Henry decides to mow lawns then the opportunity cost would be - the chance to earn by working in a library

The correct answer is an option (B)

We know that,

Henry wants to get a job this summer.

He can either mow lawns or work in the local library.

if he decides to mow lawns, he would lost the chance to earn by working in a library.

This means, the opportunity cost is - the chance to earn by working in a library

Therefore, if Henry decides to mow lawns then the opportunity cost would be - the chance to earn by working in a library

The correct answer is an option (B)

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Answer:

Step-by-step explanation:

3/4 cup of rice x 2 meals = 1.5 cups of rice or 180 g of rice cooded every day.

7 days in a a week so multiply by 7:

1.5 cups x 7 = 10.5 cups of rice every week

180 g x 7 = 1,260 g of rice every week

a. The CV for monthly salaries is slightly higher than that for GPAs, so there is slightly more relative variability in monthly salaries.

b. The CVs for GPAs and annual salaries are still 14.7% and 14.8%, respectively. The conversion to annual salaries does not change the relative variability.

c. Joe's z-score for monthly salary is higher than his z-score for GPA, indicating that he is more of an outlier in terms of his monthly salary.

a. To show whether there is more relative variability in GPAs or monthly salaries, we can calculate the coefficient of variation (CV) for each variable.

The standard deviation to mean ratio, presented as a percentage, is known as the CV.

Higher CV indicates higher relative variability.

For GPAs:

mean = (2.7 + 3.5 + 4.0 + 3.3 + 3.6) / 5 = 3.42

standard deviation = \(\sqrt{(((2.7-3.42)^2 + (3.5-3.42)^2 + (4.0-3.42)^2 + (3.3-3.42)^2 + (3.6-3.42)^2) / 4) } = 0.503\)

CV = (0.503 / 3.42) x 100% = 14.7%

For monthly salaries:

mean = (3300 + 3600 + 4500 + 3500 + 3900) / 5 = 3760

standard deviation = \(\sqrt{ (((3300-3760)^2 + (3600-3760)^2 + (4500-3760)^2 + (3500-3760)^2 + (3900-3760)^2) / 4) }\\= 558.2\)

CV = (558.2 / 3760) x 100% = 14.8%

The CV for monthly salaries is slightly higher than that for GPAs, so there is slightly more relative variability in monthly salaries.

b. To convert monthly salaries to annual salaries, we multiply by 12:

annual salary = monthly salary x 12

The annual salaries are:

39,600

43,200

54,000

42,000

46,800

The CVs for GPAs and annual salaries are still 14.7% and 14.8%, respectively. The conversion to annual salaries does not change the relative variability.

c. To determine whether Joe Parker is more of an outlier in GPA or salary, we can standardize his values by subtracting the mean and dividing by the standard deviation:

z-score for Joe's GPA = (4.0 - 3.42) / 0.503 = 1.15

z-score for Joe's monthly salary = (4500 - 3760) / 558.2 = 1.32

Joe's z-score for monthly salary is higher than his z-score for GPA, indicating that he is more of an outlier in terms of his monthly salary.

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Answer:

One hour and a half.

Step-by-step explanation:

The volume of the rectangular prism is 4.84 cm cube.

A rectangular prism is filled exactly with 605 cubes. Each cube has edge

length 1 / 5 cm. Therefore, the volume of the rectangular prism can be

calculated as follows:

volume of each cube = l³

volume of each cube = (1 / 5)³

volume of each cube = 1 / 125 cm³

Therefore,

volume of the rectangular prism = 605 × 1 / 125

volume of the rectangular prism = 605 / 125

volume of the rectangular prism = 4.84 cm³

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Answer:

30cm^2

Step-by-step explanation:

area of large rectangle = length x width

= 5 X 9 = 45 cm^2

area of small rectangle = length x width

= 3 X 5 = 15 cm ^2

45 - 15 = 30cm^2

Answer:

y = 30 + 3.25c

(where y is the total cost in dollars, and c is the number of balloon bouquets)

Step-by-step explanation:

Let y = total cost (in dollars)

Let c = number of balloon bouquets

Given:

⇒ y = 30 + 3.25c

Y inetercept:-

Rate of change=3.25

So

Cost be Y

The standard error represents the average deviation of the sample means from the true population mean. Rounding this value to four decimal places, the standard error of X¯¯¯ is approximtely 0.6500 mpg.

A smaller standard error indicates that the sample means are more likely to be close to the population mean.To calculate the standard error of X¯¯¯, the mean from a random sample of 25 fill-ups by one driver, we can use the formula:

Standard Error (SE) = σ / sqrt(n),

where σ is the standard deviation and n is the sample size.

In this case, the standard deviation (σ) is given as 3.25 mpg, and the sample size (n) is 25.

Plugging in these values into the formula, we have:

SE = 3.25 / sqrt(25).

Calculating the square root of 25, we get:

SE = 3.25 / 5.

Performing the division, we find:

SE ≈ 0.65.

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Answer:

what expression nothing shows up

Step-by-step explanation:

Answer:

plzz keep the complete question

Step-by-step explanation:

i hope u will

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Define Decimal place?

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Answer:

800 grams flour ÷ 5 grams flour/biscuit = 160 biscuits

160 biscuits × 3 grams butter/biscuit = 480 grams butter

160 biscuits × 2 grams sugar/biscuit = 320 grams sugar

Katie needs 320 grams sugar.

Kate needs 270g of sugar to make the maximum number of biscuits possible.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Now, Based on the ratio of flour, butter, and sugar of 5:3:2, we can determine that Kate needs;

⇒ 800g + 550g

= 1350g of the mixture.

Hence, For find out the amount of sugar needed, we need to determine the proportion of sugar in the mixture.

We can do this by adding up the ratio numbers;

(5+3+2) = 10.

Then we can divide each ratio number by the total (10) to get the proportion of each ingredient.

So the proportion of sugar in the mixture is 2/10. To find out how much sugar Kate needs, we can set up a proportion:

2/10 = x/1350

We can solve for x by cross-multiplying:

2 × 1350 = 10x

2700 = 10x
x = 270

Therefore, Kate needs 270g of sugar to make the maximum number of biscuits possible.

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Answer:

it the second one

Step-by-step explanation:

Answer:

$6.40 per movie

Step-by-step explanation:

Since the fifth movie is free, find the total cost by multiplying 8 by 4:

8(4)

= 32

Find how much you actually pay per movie by dividing this by 5:

32/5

= 6.4

So, you are actually paying $6.40 per movie

Answer:

$6.40

Step-by-step explanation:

If you buy five movies, but only pay for the first four, then that is the first amount we need to find. Paying $8 for four movies means you are paying $32. If you are paying $32 for five movies, then you are paying $6.40 per movie.

Math:

8 + 8 + 8 + 8 + 0 = 32

32/5 = 6.4

The Operating income is $172,500.

To calculate the margin of safety, contribution margin ratio, and operating income, we need to use the given information.

a. Margin of Safety:

Margin of Safety = Actual Sales - Break-even Sales

Given that the break-even point is at $750,000 in sales revenue and actual sales are $1,100,000, we can calculate the margin of safety:

Margin of Safety = $1,100,000 - $750,000 = $350,000

Therefore, the margin of safety is $350,000.

b. Margin of Safety as a Percentage of Sales:

Margin of Safety Percentage = (Margin of Safety / Actual Sales) * 100

Using the values from the previous calculations:

Margin of Safety Percentage = ($350,000 / $1,100,000) * 100 = 31.82%

Therefore, the margin of safety expressed as a percentage of sales is approximately 31.82%.

c. Contribution Margin Ratio:

Contribution Margin Ratio = (Contribution Margin / Sales) * 100

To calculate the contribution margin, we need to subtract variable costs from sales:

Contribution Margin = Sales - Variable Costs = $1,100,000 - $645,000 = $455,000

Using the values, we can calculate the contribution margin ratio:

Contribution Margin Ratio = ($455,000 / $1,100,000) * 100 = 41.36%

Therefore, the contribution margin ratio is approximately 41.36%.

d. Operating Income:

Operating Income = Sales - Variable Costs - Fixed Costs

Using the values provided:

Operating Income = $1,100,000 - $645,000 - $282,500 = $172,500

Therefore, the operating income is $172,500.

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The value of x is 4 and 0

Algebra is a branch of mathematics that helps translate real-world problems or situations into mathematical formulas. Mathematical operations like addition, subtraction, multiplication, and division as well as variables like x, y, and z are needed to construct a valid mathematical expression. Coordinate geometry, calculus, and trigonometry are just a few of the mathematics topics that involve algebra. A simple algebraic equation is 2x + 4 = 8. Algebraic expressions are the result of performing operations on variables and constants, such as addition, subtraction, multiplication, division, etc. Consider that James and Natalie came up with the notion to arrange matchsticks into numerical patterns when they were fiddling with them.

Given that : \((x-2)^{2} = 2\)

\((x-2)^{2} = 2\)

(x-2)=±2

x= 4

x=0

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Answer:

(0,3)

(-1,1)

Step-by-step explanation:

Hello!

Since both equations are equal to y, we can set the right-hand side of the equations equal to each other.

X can either be 0 or -1. Remember, a solution to a system is not complete without a y-value. Plug in 0 and -1 for x in the first equation, and find the corresponding y-values.

\(y = 2(0) + 3\\y = 3\)

And

\(y = 2(-1) + 3\\y = -2 + 3\\y = 1\)

So the solutions to the system are (0,3) and (-1,1)