Hi ! Can someone answer me this question please?
A scientist uses 2 gallons of liquid for every 7 hours he works. He uses ____ of a gallon each hour he works.
Thanks!

Given that,

f(x) = -3x + 8

To find,

The value of f(x) at x = 4.

Solution,

We have,

f(x) = -3x + 8

We need to find the value of f(x) at x = 4

Pu x = 4 in f(x).

f(4) = -3(4) + 8

= -12 +8

= -4

So, f(4) is equal to -4.

Answer:

504 inches

Step-by-step explanation:

Multiply 14 by 36 and get your answer

To find the expected number of times Joan rolls a 3, we use the formula for mean of a binomial distribution.

The correct option is, option (C) 6.

The probability of rolling a number 3 on any given roll is 1/4

If Joan rolls the die 20 times, the number of times she rolls a 3 will follow a binomial distribution with n = 20 (number of trials) and p = 1/4 (probability of success).

The formula for the probability mass function of a binomial distribution is:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

where X is the random variable representing the number of successes (the number of times Joan rolls a 3), k is the number of successes, n is the number of trials, p is the probability of success, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items.

Using this formula, we can calculate the probability of rolling a 3 exactly k times out of 20 rolls:

P(X=k) = (20 choose k) * (1/4)^k * (3/4)^(20-k)

To find the expected number of times Joan rolls a 3, we can use the formula for the mean of a binomial distribution:

E(X) = n * p

In this case, E(X) = 20 * 1/4 = 5

Therefore, the expected number of times Joan rolls a 3 is 5.

Since the possible answers are integers, the closest answer to 5 is 6. Therefore, the answer is (C) 6.

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Answer:

2, 3 and 4 represent the graph in the pic

Step-by-step explanation:

When you look at the graph, you can immediately tell the gradient and the y-intercept. The gradient is 1/2 and the y-intercept is -1

Hence the graph in the picture follows the formula: y = 1/2x - 1

When you expand/rearrange the options (1-5) into the slope form you would be able to see which of these options matches with the formula of the line.

1. y= 2x-1: Isn't the same as the equation of the line in the pic

2. Rearrange:

-2y = -x + 2        (divide both sides by 2)

y = x/2 - 1          (x/2 = 1/2x, its the same thing)

3. y= 1/2x - 1       (this is the formula of the line)

4. Expand right-hand-side:

y + 3 = 1/2x + 2    (rearrange)

y = 1/2x - 1            (this is the formula of the line)

5. Expand right-hand-side

y - 2 = 1/2x - 1      (rearrange)

y = 1/2x + 1          (is not the formula of the equation)

Answer:

Step-by-step explanation:

“Would I rather be feared or loved? Easy. Both. I want people to be afraid of how much they love me.” – Michael G. Scott

Answer:

Step-by-step explanation:

-1

Answer:

19

Step-by-step explanation:

5*7 - 4*4

PEMDAS says multiply and divide first

35 - 16

Then add and subtract

19

Answer:

19 hope this helps ☜(⌒▽⌒)☞☜(ﾟヮﾟ☜)

Step-by-step explanation:

Each customer who requests a tour on a regular day costs Vincent $1350.Vincent often makes $820 a day in profit. Vincent will make more money because he charged each consumer $18.

Price discrimination is a sales strategy that involves charging clients differently for the same commodity or service based on what the vendor believes they can persuade the customer to accept. When a company uses pure price discrimination, it charges the highest price that each customer will accept.

Given,

Bus capacity = Adult Demand + Child Demand + Senior Demand

= 70 + 25 + 55/50

= 150/50

= 3

$450 × 3 is the tour's total price.

= $1350

2. On a typical day, total revenue equals the sum of adult demand multiplied by willingness to pay, child demand multiplied by willingness to pay, and senior demand multiplied by willingness to pay.

= 70 × $18 + 25 × $10+ 55 × $12

= $2170

Total revenue minus total costs equals profit.

= $2170 - $ 1350

= $820

The following formula will be used to determine his profit if he charged each customer $18:

Total Sales for a given day are calculated as follows: Adult Demand × $18 + Child Demand × $18 + Senior Demand × $18

= 70 × 1 8 + 25 × 18 + 55 × 18

= $1260 + $450 + $990

= $ 2700

Total Revenue - Total Cost = Profit

= $ 2700 - $ 1350

= $ 1350

As a result, the profit on the price of $18 is $1350, which is more than the prior profit.

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We can conclude that ABCD is a parallelogram based on the given information and the congruence of corresponding parts of congruent triangles.

To prove that ABCD is a parallelogram, we need to show that both pairs of opposite sides are parallel.

Given the information that segment AD and BC are congruent and segment AD and BC are parallel, we can proceed with the following proof:

Since segment AD and BC are congruent, we can denote their lengths as AD = BC.

Now, let's assume that the lines AD and BC intersect at point E.

By definition, if AD is parallel to BC, then the alternate interior angles are congruent.

Let's label the alternate interior angles as ∠AED and ∠BEC.

Since AD is parallel to BC, we have ∠AED = ∠BEC.

Now, consider the triangle AED. In this triangle, we have:

∠AED + ∠A = 180° (sum of interior angles of a triangle).

Since ∠AED = ∠BEC, we can substitute to get:

∠BEC + ∠A = 180°.

But we also know that ∠A + ∠B = 180° (linear pair of angles).

Substituting this into the equation, we have:

∠BEC + ∠B = ∠BEC + ∠A.

By canceling ∠BEC on both sides, we get:

∠B = ∠A.

This shows that angle ∠A is congruent to angle ∠B.

Since angle ∠A is congruent to angle ∠B, and angle ∠AED is congruent to angle ∠BEC, we can conclude that triangle AED is congruent to triangle BEC by the angle-side-angle (ASA) postulate.

As a result, the corresponding sides of the congruent triangles are also congruent.

We have AE = BE (corresponding sides of congruent triangles) and AD = BC (given).

Now, considering the quadrilateral ABCD, we have two pairs of opposite sides that are congruent:

AD = BC and AE = BE.

Hence, we have shown that both pairs of opposite sides in ABCD are congruent, which is one of the properties of a parallelogram.

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Answer:

It's B

Step-by-step explanation:

Given that we have the graph of f(x), we want to see which one is the graph of its inverse. i just had that question and i got a 100 on it

Answer:

20

Step-by-step explanation:

on edge mark brainliest

If she buys zero packs, she will still have the same amount of money left, which is $16.

A graph is a visual representation of data or a mathematical function that allows us to quickly and easily see patterns, trends, and relationships. Graphs are often used in math, science, economics, and other fields to help interpret data and communicate findings.

Based on the information given in the graph, we can see that Carly will have $16 left if she doesn't buy any packs of baseball cards.

This is because at x=0 (which is not explicitly labeled on the graph but represents the scenario where she buys zero packs of cards), the graph would continue the downward trend seen in the given points and intersect with the y-axis at $16.

Thus, we can see that when Carly buys 1 pack of baseball cards, she has $16 left. Therefore, if she buys zero packs, she will still have the same amount of money left, which is $16.

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Answer:

8%

Step-by-step explanation:

Set up a fraction:

States with W / All States

4 / 50

Convert the fraction into a decimal:

4/50 = 0.08

Convert the decimal into a percent:

0.08 * 100 = 8

8%

8% of the US has a state name that starts with 'W'.

Answer:

16910

Step-by-step explanation:

BIDMAS
1402 x 12 = 16824 +100 = 16924
16924-14 = 16910

Answer:

13

Step-by-step explanation:

1+1=2

1+2=3

2+3=5

3+5=8

8+blank=21

21-8=13

Answer:

13

1+1=2+3=5+8=13+21=...

Answer:

2

Step-by-step explanation:

2/2 is 1

x-x is 0

1+1 is 2 (since there are two 2/2)

So the answer is 2

Hope this helps

Answer:

From what I am seeing this is supposedly 2

Step-by-step explanation:

This question first of all wasn't clear on directions because are we solving for x or doing a linear equation.

Note: The equal sign doesn't have x or anything.

My assumption: This is a solve for x question meaning 2/2+x+2/2-x=x

How to solve:

1.) Combine Like terms, 2/2+2/2, etc.

2.) Since we have done 2/2 + 2/2 = 4/2 you should simplify = 2

Equation at the moment: 2+ x -x =x

3.) Do opposite operations meaning -x should be added: 2+x=x+x

4.) Solve step 3: 2+x=2x

5.)Then do another opposite operation, +x should be -x equation should look like this: 2=2x-x

6.) Solve step 5: 2=1x

7.) 1x is equivalent to x so the x=2

This is not a confirmed answer because there is no answer after the expression in order to solve for x.

Next steps: IF this is wrong then please specify is this slope, linear equations, or something else.

Answer:

= 1/2

Step-by-step explanation:

From the question: 1 bag contains

4 cotton candy lollipops

3 cherry lollipops

6 butterscotch lollipops

1 orange lollipops

Total number of possible outcomes =

14

The probability of randomly choosing a cotton candy or orange lollipops is calculated as:

P(Cotton candy) + P(Orange)

= 4/14 + 3/14

= 7/14

= 1/2

We have 5 ft 9 in = 69 in, so

P(X > 69) = P((X - 64.1)/2.5 > (69 - 64.1)/2.5) = P(Z > 1.96)

where X and Z both represent women's heights, but Z is normally distributed with mean 0 and s.d. 1.

Then consulting a table of z-scores, you'll find that P(Z > 1.96) ≈ 0.025. So approximately 2.5% of women are taker than 5'9''.

The depreciated value of the car is $6770.65

Given that a car has a worth of $20,300 and value of the car depreciates 9.5% per year.

We need to find it value after 11 years,

Here we will use the concept of exponential decay,

Exponential decay =

P = P₀(1-r)ⁿ

P = final amount

P₀ = initial amount

r = rate

n = time

Therefore,

P = 20300(0.905)¹¹

P = 6770.65

Hence the depreciated value of the car is $6770.65

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Answer:

\(-\frac{17}{40\\}\)

Step-by-step explanation:

Answer:-17/40

Step-by-step explanation:

You are adding positive 3/8 to negative 4/5. The first step is the find a common denominator, so you would end up with -32/40+15/40. To solve, you could do 32-15=17. You would have negative 17/40. It cannot be simplified.

The value of x is 21 °.

1. The vertically opposing angle pairs are equal.

2. The related angle pairs are equivalent.

3. The alternative outside angle pairs are equivalent.

4. There is equality between the alternate interior angle pairs.

In geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet. They can be both horizontal and vertical. We can see parallel lines examples in our daily life like a zebra crossing, the lines of notebooks, and on railway tracks around us.

Given: ∠ 8 = 86° and ∠ 4= (4x + 2)°

Since ∠4 = ∠8 { Because angles on the same side of the parallel sides are equal }

Thus when we equate these two we get ;

86 = 4x +2

4x = 84

x= 21

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Answer:

At Marco Market, a chewy toy costs $2 and a cat collar costs $6. Meanwhile, at Sonia Superstore, a chewy toy for dogs costs $4 and a cat collar costs $4. To represent the quantities of each item that can be purchased at each store, an equation can be used.

Step-by-step explanation:

At Marco Market, a chewy toy costs $2 and a cat collar costs $6. Meanwhile, at Sonia Superstore, a chewy toy for dogs costs $4 and a cat collar costs $4. To represent the quantities of each item that can be purchased at each store, an equation can be used.

Answer: (x+2)(x+3)

Step-by-step explanation:

1) Try to simplify with the line method

List the multiplicative numbers for a and c.

x^2 + 5x + 6 = 0

1x----------->  3

1x----------->  2

3 + 2 = 5

Make sure the two numbers multiply-add to b

Afterward, flip the top and bottom numbers.

1x--------------> 2

1x--------------> 3

Put them into an equation.

(x+2)(x+3)

All the possible answers are given below

U should recall that a rectangular prism is a three-dimensional shape, having six faces, where all the faces (top, bottom, and lateral faces) of the prism are rectangles such that all the pairs of the opposite faces are identical.

Remember also that a plane intersect the Rectangular prism .i.e, Cuboid diagonally which means plane passes from top edge of cuboid to edge on bottom on opposite side.

Figure is attached.

In this way we get a Rectangular shaped Cross section which includes edges of cuboid and diagonals of the side faces.

Therefore, Rectangle shaped cross section is formed by intersection of plane and prism.

To this effect, the possible answers are

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Answer:

Step-by-step explanation:

Answer:

250 hours

Step-by-step explanation:

Jeez can Marriyam get some more money per hour?

Ok, Marriyam is given 75 dollars so she only need to pay 325-75 = $250.

Since Marriyam earns 1 dollar an hour she need to work 250 hours.

Hopefully that helps.

If her job pays I dollars per hour, 250 hours does she need to work to buy the skateboard.

In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

Marriyam was given $75 for a birthday present.

She's going to use that gift, plus the earnings from her summer job, to buy a skateboard that costs $325.

The amount left she has to earn is;

= 325 - 75 = $250

If her job pays I dollars per hour, how many hours does she need to work to buy the skateboard is;

\(= 1\times 250\\\\=250\)

Hence, If her job pays I dollars per hour, 250 hours does she need to work to buy the skateboard.

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Answer:8 is the answer

Step-by-step explanation:

Answer: 15 Times

Step-by-step explanation: It's 15 Times because if you add all of the other rolled times together you'll get 60 and 75-60=15.

Answer:

The interest calculated is 3.96%.

Step-by-step explanation:

I hope this helps you :)

Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

Answer:

y = 4x - 2

y = -x + 3

Step-by-step explanation: