9−z9, minus, z when z = 8z=8z, equals, 8.

solve  -6x2-3x+12 dived by 3x-3 using pemdas

Step-by-step explanation:

The question is how to divide this this is how to solve it

Sarah's fuel efficiency is approximately 32.91 miles per gallon.

From the question, we are to calculate Sarah's fuel efficiency.

To find Sarah's fuel efficiency in miles per gallon, we need to convert the distance she drove to miles and the amount of gasoline she used to gallons.

From the given information,

1 km = 0.6214 mi

1 gal = 3.8 L

First, let's convert the distance from kilometers to miles:

691.4 km × 0.6214 mi/km = 430.10196 mi

So, Sarah drove a distance of 430.1 miles.

Also,

Convert the amount of gasoline from liters to gallons:

49.7 L ÷ 3.8 L/gal = 13.0789 gal

So, Sarah used 13.0789 gallons of gasoline.

Calculate her fuel efficiency in miles per gallon:

Fuel efficiency = distance ÷ gasoline used

Fuel efficiency = 430.1 mi ÷ 13.0789 gal

Fuel efficiency = 32.9065 mi/gal

Hence, Sarah's fuel efficiency is 32.91 mi/gal

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The domain and range of function p for the intervals (0, 14) and (0, 80) respectively.

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

We have been given a graph that has Function p representing the number of people in the library on a Monday as a function of hours since the library opened.

Based on the graph and the situation, the required solution would be as:

The domain at intervals (0, 14) and range at intervals (0, 80) for function p.

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Answer:

Net gain = 12 years(point)

Step-by-step explanation:

The Lions football team gained 20 yards after having lost 8 yearson the previous play.

Years(point) gained= 20

Years(point) loss= 8

The net gain for the two plays

Net gain = gain - loss

Net gain = 20-8

Net gain = 12 years(point)

Answer: x=2 and y=−1

Step-by-step explanation:

5x+7y=3for x:

5x+7y=3

5x+7y+−7y=3+−7y(Add -7y to both sides)

5x=−7y+3

x= −7/ 5 y+ 3 /5

Substitute −7 /5 y+ 3 /5  for x in2x+3y=1:

2( −7/ 5 y+ 3 /5 )+3y=1

1 /5 y+ 6 /5 =1(Simplify both sides of the equation)

1 /5 y= −1 /5

y=1

Substitute −1 for y in x

−7 /5 y+ 3 /5 : x=

x=2

x=2(Simplify both sides of the equation)

By using coordinate system of graph plotting, it can be obtained that Kaipo actually thought about plotting (-8, 5).

What is a coordinate system?

To locate the position of a point on the graph, coordinate system is used.

A set of two perpendicular axes on a graph divides the graph into four quadrants. Intersection of two axes is the origin. The left part of horizontal axis and top part of vertical axis from the origin is positive and the other parts are negative. A coordinate of a point is in the form of ordered pair. The first value is the value on the horizontal axis and the second value is the value on the vertical axis.

The first value of the coordinate is the value on the horizontal axis and the second value of the coordinate is the value on the vertical axis.

To plot (5, -8), it is required to move 5 units to the right from the origin and then move down 8 units.

Kaipo just did the opposite. He actually thought about plotting (-8, 5).

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Answer:

\(Mean = 10724.29\ mi\)

Step-by-step explanation:

Given

\(n = 7\) --- days

See attachment for odometer readings

Required

The mean of the distance

Mean is calculated as:

\(Mean = \frac{\sum x}{n}\)

So, we have:

\(Mean = \frac{10150 + 10211 + 10424 + 10769 + 10884 + 11155 + 11477}{7}\)

\(Mean = \frac{75070}{7}\)

\(Mean = 10724.2857143\)

Approximate

\(Mean = 10724.29\ mi\)

Answer:

Yeah I’m completely stuck on this question I’m just gonna go with 61 because 10,211-10,115 is 61 miles and that’s the only realistic answer I can get.

Answer:

a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C

a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C

b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C

b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C

Answer:

8 scoops of powder and 12 cups of water

let number of green balls= x

let number of orange balls=x+4

x+x+4=38

2x=38-4

2x=34

x=17

number of green balls=17

number of orange balls=21

"The correct answer is option A." The missing coordinates of point Q are (a, c/2).We are given the coordinates of points P and N as (0, c) and (2a, 0), respectively. We are also given that point Q lies on the same line as points P, Q, and N. We need to find the missing coordinates of point Q.

Since point Q lies on the same line as P, Q, and N, its x-coordinate must be halfway between the x-coordinates of points P and N. That is, the x-coordinate of Q is:

x-coordinate of Q = (x-coordinate of P + x-coordinate of N) / 2

x-coordinate of Q = (0 + 2a) / 2 = a

So, we know that the x-coordinate of point Q is a.

To find the y-coordinate of point Q, we can use the fact that point Q lies on the same line as point P, which has coordinates (0, c). The equation of the line passing through P and N is:

y - c = (0 - c) / (2a - 0) * (x - 0)

Simplifying this equation gives:

y - c = -c/2a * xy = -c/2a * x + c

Substituting x = a in this equation gives:

y = -c/2a * a + cy = -c/2 + cy = c/2

So, we know that the y-coordinate of point Q is c/2.

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Answer:

1,200

Step-by-step explanation:

9514 1404 393

Answer:

  2x -3y = 8

Step-by-step explanation:

It is helpful to start by putting the given equation in standard form

  y -4 = 2/3(x -3)

  3y -12 = 2x -6 . . . . . . multiply by 3, eliminate parentheses

  2x -3y = -6 . . . . . . . .  add 6-3y to get standard form

When point Q is substituted for x and y, the new constant on the right is ...

  2x -3y = 2(1) -3(-2)

  2x -3y = 8

_____

Additional comment

The equation is in standard form when the leading coefficient is positive, all coefficients are mutually prime integers, and the form is ...

  ax +by = c

Note that we subtracted the y-term, rather than the x-term from the given equation. This is so the x-term would have a positive coefficient. We could have written our standard form equation as ...

  3y -2x = -8

but it is a bit unusual to have the variables not be in alphabetical order.

Answer:

  96°

Step-by-step explanation:

You want the value of angle C in the diagram with two parallel lines and a triangle between them.

The sum of angles in a triangle is 180°, so the missing angle in the triangle is ...

  180° -60° -24° = 96°

Angle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:

  C = 96°

<95141404393>

Answer:

1.9x10^8

hope I helped

Answer:

0.0000000019= 1.9*10^ -9

The original Pizza we left

divide into four because 3 friends + Simile=4 then we have the next operation in order to the fraction

each person receipt 1/8 of the pizza of the original pizza

Answer:

D

Step-by-step explanation:

1 + 4x and 57° are corresponding angles and are congruent , so

1 + 4x = 57 ( subtract 1 from both sides )

4x = 56 ( divide both sides by 4 )

x = 14

Answer:

24.5%

Step-by-step explanation:

Given

P(Off-Campus) = 0.30

P(Part-Time Job | Off-Campus) = 0.62

P(Part-Time Job | On-Campus) = 0.65

Inferred

P(On-Campus) = 0.70

P(No Part-Time Job | Off-Campus) = 0.38

P(No Part-Time Job | On-Campus) = 0.35

Calculation

P(No Part-Time Job | On-Campus) = P(No Part-Time Job ∩ On-Campus)/P(On-Campus)

0.35 = P(No Part-Time Job ∩ On-Campus)/0.70

0.245 = P(No Part-Time Job ∩ On-Campus)

Therefore, 24.5% of students that live on campus do not have a part-time job.

Answer:

100

Step-by-step explanation:

To find the value of the expression with the given value of c, substitute that given value for every c in the expression. So, since c = 2, substitute 2 in place for each c and simplify like below. Remember to follow PEMDAS.

\(2c(c+3)^2\\2(2)(2+3)^2\\= 2(2)(5)^2\\= 2(2)(25)\\= 4(25)\\= 100\)

Thus, the answer is 100.  

Answer:

Quantity = 59 units

Price = $111

Step-by-step explanation:

The Demand function is given by

\(P = 170 - Q\)

The Marginal cost is given by

\(MC = 52\)

We are asked to find the quantity and price of goods.

Firstly, obtain the Marginal revenue function from the demand function

The Total revenue is given by

\(TR = P \times Q \\\\TR = (170 - Q) \times Q \\\\TR = 170Q - Q^2\)

The Marginal revenue is the derivative of the Total revenue,

\(MR = \frac{d}{dQ} (TR) = 170Q - Q^2 \\\\MR = \frac{d}{dQ} (TR) = 170 - 2Q \\\\\)

Assuming that the monopolist maximizes profits,

\(MR = MC \\\\170 - 2Q = 52\\\\2Q = 170 - 52\\\\2Q = 118\\\\Q = 118/2\\\\Q = 59\)

Therefore, the quantity is 59 units.

The price of each good is

\(P = 170 - Q \\\\P = 170 - 59 \\\\P = 111\)

Therefore, the price is $111.

(a) 0.5, (b) f_Y(y) = 12y(1-y), (c) 9/128, (d) 7/36 - Probability calculations using joint density function.

(a) To find the Probability that the Turkish tobacco represents over a portion of the mix, we want to incorporate the joint thickness capability over the district where x > 0.5 and y < 1 - x. This gives:

P(X > 0.5) = ∫[0.5,1]∫[0,1-x] 24xy dy dx = 0.5

Consequently, the Probability that the Turkish tobacco represents over around 50% of the mix is 0.5.

(b) To find the negligible thickness capability for the extent of homegrown tobacco, we really want to incorporate the joint thickness capability over all potential upsides of Turkish tobacco:

f_Y(y) = ∫[0,1-y] 24xy dx = 12y(1-y) ; 0 < y < 1

Thusly, the peripheral thickness capability for the extent of homegrown tobacco is f_Y(y) = 12y(1-y).

(c) To find the Probability that the extent of Turkish tobacco is under 1/8 given that the mix contains 3/4 homegrown tobacco, we really want to utilize Bayes' standard:

P(X < 1/8 | Y = 3/4) = P(X < 1/8 ∩ Y = 3/4)/P(Y = 3/4)

We can find the numerator by coordinating the joint thickness capability over the district where x < 1/8 and y = 3/4:

∫[0,1/8] 24xy dx = 27/128

To find the denominator, we coordinate the joint thickness capability over all potential upsides of Turkish tobacco when y = 3/4:

∫[0,1/4] 24xy dx = 3

Thusly, the contingent Probability is:

P(X < 1/8 | Y = 3/4) = (27/128)/3 = 9/128

(d) To find the likelihood that the extent of homegrown tobacco is over two times the extent of the Turkish tobacco, we want to incorporate the joint thickness capability over the area where y > 2x and x + y < 1. This gives:

P(Y > 2X) = ∫[0,1/3]∫[2x,1-x] 24xy dy dx + ∫[1/3,1/2]∫[2x,1-x] 24xy dy dx

= 7/36

Accordingly, the likelihood that the extent of homegrown tobacco is over two times the extent of the Turkish tobacco is 7/36

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The complete question is:

A tobacco company produces blends of tobacco, with each blend containing various proportions of Turkish, domestic, and other tobaccos. The proportions of Turkish and domestic in a blend are random variables with joint density function (X = Turkish and Y = domestic) 24xy ;0< x, y < 1, x +y<1 fx.y(1,7) (2) ; otherwise (a) (1 point) Find the probability that in a given box the Turkish tobacco accounts for over half the blend. Page 2 (b) (1 point) Find the marginal density function for the proportion of the domestic tobacco. (c) (1 point) Find the probability that the proportion of Turkish tobacco is less than 1/8 if it is known that the blend contains 3/4 domestic tobacco. (d) (2 points) Find the probability that the proportion of domestic tobacco is more than twice the proportion of the Turkish tobacco.

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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Answer:

80 telephones should be sampled

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

The margin of error is of:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

89% confidence level

So \(\alpha = 0.11\), z is the value of Z that has a p-value of \(1 - \frac{0.11}{2} = 0.945\), so \(Z = 1.6\).

How many telephones should be sampled and checked in order to estimate the proportion defective to within 9 percentage points with 89% confidence?

n telephones should be sampled, an n is found when M = 0.09. We have no estimate for the proportion, thus we use \(\pi = 0.5\)

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.09 = 1.6\sqrt{\frac{0.5*0.5}{n}}\)

\(0.09\sqrt{n} = 1.6*0.5\)

\(\sqrt{n} = \frac{1.6*0.5}{0.09}\)

\((\sqrt{n})^2 = (\frac{1.6*0.5}{0.09})^2\)

\(n = 79.01\)

Rounding up(as 79 gives a margin of error slightly above the desired value).

80 telephones should be sampled

Answer:

looks good to me

Step-by-step explanation:

since she already has 18 cups flour she needs 6 cups of sugar

Answer:

1,-2

1,1

2,-1

these ate after multiplying all the vertices by 1/5