Would the graph be horizontal or vertical for the given equation, x= 7?

Answer:

There are 2 bottle of 1 pint and 1 bottle of 1 cup.

Step-by-step explanation:

Okay, so first let's look at the conversion factors of these units:

   1 quart=2 pints & 1 quart= 4 cups.

Alright well, we already have 1.75 out of 3 quarts of the strawberry puree so all

we need left is 1.25 quarts left. So since 1 pint= .5 quarts and 1 cup=.25 quarts

we need to buy 2 pints and 1 cup to give us our three quarts.

 Hence, there are 2 bottle of 1 pint and 1 bottle of 1 cup.

Hope this answer helps you :)

Have a great day

Mark brainliest

To calculate the molecular weight of a gas with a density of 1.524 g/l at STP, we can use the ideal gas law: PV = nRT. At STP, the pressure (P) is 1 atm, the volume (V) is 22.4 L/mol, and the temperature (T) is 273 K. The molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

Rearranging the equation, we get n = PV/RT.

Next, we can calculate the number of moles (n) of the gas using the given density of 1.524 g/l. We know that 1 mole of any gas at STP occupies 22.4 L, so the density can be converted to mass by multiplying by the molar mass (M) and dividing by the volume: density = (M*n)/V. Rearranging the equation, we get M = (density * V) / n.

Substituting the given values, we get n = (1 atm * 22.4 L/mol) / (0.0821 L*atm/mol*K * 273 K) = 1 mol. Then, M = (1.524 g/L * 22.4 L/mol) / 1 mol = 34.10 g/mol. Therefore, the molecular weight of the gas is 34.10 g/mol.

To calculate the molecular weight of a gas with a density of 1.524 g/L at STP, you can follow these steps:

1. Recall the ideal gas equation: PV = nRT

2. At STP (Standard Temperature and Pressure), the temperature (T) is 273.15 K and the pressure (P) is 1 atm (101.325 kPa).

3. Convert the density (given as 1.524 g/L) to mass per volume (m/V) by dividing it by the molar volume at STP (22.4 L/mol). This will give you the number of moles (n) per volume (V):

  n/V = (1.524 g/L) / (22.4 L/mol)

4. Calculate the molar mass (M) of the gas using the rearranged ideal gas equation, where R is the gas constant (8.314 J/mol K):

  M = (n/V) * (RT/P)

5. Substitute the values and solve for M:

  M = (1.524 g/L / 22.4 L/mol) * ((8.314 J/mol K * 273.15 K) / 101325 Pa)

6. Calculate the molecular weight of the gas:

  M ≈ 32.0 g/mol

Therefore, the molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

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Answer:

I think you might mean 5.784 and if that is the case it would be 5.8

Step-by-step explanation:

5.8 would be the answer because 8 is closer to 10 than 0 so 7 would be rounded up to 8

The ordered pair (-13, 5) is a solution to the given system of linear equations.

The system of equations given is:

-2a + 3b = 14 ... equation (1)

a - 4b = 3 ... equation (2)

Now, we need to find out which ordered pair (a, b) is a solution to this system of linear equations. We will solve this system of equations using the elimination method.

Multiplying equation (1) by 2, we get:

-4a + 6b = 28 ... equation (1) multiplied by 2a - 4b = 3 ... equation (2)

Now, adding these two equations, we get:

-2a + 2b = 31

Simplifying this, we get:

2b = 2a + 31

Dividing both sides by 2, we get:

b = a + 31/2 ... equation (3)

Now, substituting the value of b from equation (3) in equation (1), we get:

-2a + 3(a + 31/2) = 14

Simplifying this, we get:

a = -13

Substituting the value of a in equation (3), we get:

b = a + 31/2 = -13 + 31/2 = 5

So, the ordered pair (-13, 5) is a solution to the given system of linear equations.

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To calculate the percent increase you have to proceed as follows:

First step: calculate the difference between the new number and the original number:

Second step: divide the difference by the original number

Third step: multiply the result by 100, to express the result as a percentage

The percentual increase is 12.5%

The coffee shop should raise their prices by $0.25 to maximize profits.

To maximize profits, the coffee shop needs to find the balance between increasing prices and retaining customers. According to the given information, for every $0.25 increase in prices, 5% of customers will leave. This implies that the coffee shop will lose some revenue from those customers who leave.

To find the optimal price increase, the coffee shop needs to compare the revenue gained from the price increase with the revenue lost from the departing customers. Since the coffee shop is just breaking even, the revenue gained from the price increase should compensate for the lost revenue.

Given that increasing prices by $0.25 leads to a 5% customer loss, it suggests that the revenue gained from the price increase is greater than the lost revenue. Therefore, the coffee shop should raise their prices by $0.25 to maximize profits and maintain a balance between retaining customers and increasing revenue.

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Answer:

c) x = 20, angle COD = 70 °

Step-by-step explanation:

(x+50)° + 90° +20° = 180°

x + 160° = 180°

x = 180°- 160°

x = 20

Angle COD = (x+50)° = (20 +50)° = 70°

Hope this helps

Answer:

<1 = <3 = 67

<2 = <4 = 113

Step-by-step explanation:

<1 and <3 are equal because they are vertical angles

<1 = <3 = 67

<2 and <3 form a straight line so they add to 180

<2+ 67 = 180

<2 = 180-67

<2 = 113

<2 and <4 are equal since they are vertical angles

<2 = <4 = 113

The mean GPA is greater than 2.75.

A= 4.0, A- = 3.7, B+ = 3.three, and many others. Total the first-class factors, and overall the credit hours. Divide the overall satisfactory points by means of the overall credit score hours.

Grade point average (GPA) is the measure used to summarize your instructional fulfillment at Griffith. After the e-book of final grades every trimester, your software and career.

GPA is calculated and could be utilized by the college to tell choices, which include the subsequent: educational progression.

Divide the total range of grade factors earned with the aid of the total number of letter-graded units undertaken.

Mean GPA = total / 50    

                  = 2.75.

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Inequalities are used to show unequal expressions; in other words, it is the opposite of equalities.

The inequality that represents the scenario is, \(18 + 0.08B \ge 75\) and the smallest number of balls Carolina can buy is 713

Given that:

\(Entrance\ Fee = \$18\)

\(Rate = \$0.08\) per ball

Let:

\(B \to Balls\)

The amount (A) Carolina can spend on B balls is:

A = Entrance Fee + Rate * B

This gives:

\(A = 18 + 0.08 * B\)

\(A = 18 + 0.08B\)

To get $10, Carolina must spend $75 or more.

This means:

\(A \ge 75\)

So, the inequality is:

\(18 + 0.08B \ge 75\)

The smallest number of balls is calculated as follows:

\(18 + 0.08B \ge 75\)

Collect like terms

\(0.08B \ge 75 - 18\)

\(0.08B \ge 57\)

Divide both sides by 0.08

\(B \ge 712.5\)

Round up

\(B \ge 713\)

Hence, the inequality is \(18 + 0.08B \ge 75\) and the smallest number of balls is 713

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Using a linear function, it is found that:

-----------

The linear function for the cost of B paintballs has the following format:

\(C(B) = C(0) + aB\)

In which

-----------

Question 1:

Thus:

\(C(B) = 18 + 0.08B\)

\(C(B) \geq 75\)

\(18 + 0.08B \geq 75\), given by option B.

-----------

Question 2:

\(18 + 0.08B \geq 75\)

\(0.08B \geq 57\)

\(B \geq \frac{57}{0.08}\)

\(B \geq 712.5\)

Rounding up, she has to buy at least 713 paintballs.

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Answer:

30 students per bus.

Step-by-step explanation:

If 12 students had to go in cars, then

\(192-12=180\) kids went on the buses.

Since there were 6 buses,

\(180/6=30\) students went on each bus.

Answer:

312

Step-by-step explanation:

First we need to determine the width

A = l*w

6.2 * 10 ^3 = 1.55 * 10 ^2 * w

Divide each side by 1.55 * 10 ^2

6.2 ^ 10 ^3  /1.55 * 10 ^2 = 1.55 * 10 ^2 * w / 1.55 * 10 ^2

Changing from scientific notation to standard

6200/155 = w

40 = w

Then we need to determine the perimeter

P = 2(l+w)

P = 2( 155+40)

P =2( 195)

P = 390

Now multiply by the price

390 *.80

312

a) 2y = 3x + 8 This equation represents the line passing through the midpoints of BC and AD.

b) the length of the line segment joining the midpoints is indeed half the sum of the lengths of the parallel sides.

a) To show that the line segment joining the midpoints of BC and AD is parallel to both AB and DC, we need to demonstrate that the slopes of the lines are equal.

Let's first find the coordinates of the midpoints of BC and AD:

Midpoint of BC: ( (−2+−4)/2 , (1−2)/2 ) = (−3,-1/2)

Midpoint of AD: ( (1+2)/2 , (2+0)/2 ) = (3/2, 1)

Now, let's calculate the slopes:

Slope of AB: (1-2)/(-2-1) = -1/3

Slope of DC: (-2-0)/(-4-2) = -1/3

Since both slopes are equal, AB is parallel to DC.

Next, let's find the equation of the line passing through the midpoints of BC and AD. We'll use the point-slope form.

Slope of the line passing through the midpoints:

(1-(-1/2))/(3/2-(-3)) = 3/2

Using the midpoint (−3,-1/2), we can write the equation of the line as:

y - (-1/2) = (3/2)(x - (-3))

y + 1/2 = (3/2)(x + 3)

2y + 1 = 3x + 9

2y = 3x + 8

This equation represents the line passing through the midpoints of BC and AD.

b) To show that the length of this line segment is half the sum of the lengths of the parallel sides, we need to calculate the lengths of AB, DC, and the line segment joining the midpoints.

Length of AB:

√((-2-1)^2 + (1-2)^2) = √(9 + 1) = √10

Length of DC:

√((-4-2)^2 + (-2-0)^2) = √(36 + 4) = √40 = 2√10

Length of the line segment joining the midpoints:

√((3/2-(-3))^2 + (1-(-1/2))^2) = √((9/2)^2 + (3/2)^2) = √((81/4) + (9/4)) = √(90/4) = √(9/4 * 10) = (3/2)√10

The sum of the lengths of AB and DC is:

√10 + 2√10 = 3√10

The length of the line segment joining the midpoints is:

(3/2)√10

We can see that the length of the line segment is indeed half the sum of the lengths of AB and DC:

(3/2)√10 = (1/2) * 3√10 = (1/2) * (√10 + 2√10) = 3/2√10 = 3/2√10

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Answer:

y=-3x+6

Step-by-step explanation:

(y2-y1)/(x2-x1)

(0-6) /  (2-0)

0-6= -6

2-0= 2

-6/2= -3

slope is -3

so now we have y=-3x+b

in the coordinates (0,6) it means if x is 0 then y is 6. so the y-intercept is 6.

Therefore the equation would be y=-3x+6

To increase the number of interviews, it should be recommended that 0 undergraduate students, 16 graduate students, and 4 faculty members be hired. There can be a maximum of 644 interviews by statistics

In 1947, George Dantzig invented an algorithm that allows us to take a system of equations and find its maximum or minimum values that make the equations most efficient. This method is used in linear programming to determine optimization.

If n = the number of interviews, then let x = the number of undergraduate students hired, y = the number of graduate students employed, z = the number of faculty members hired.

Maximization of n = 30x + 32y + 33z

The limitations are: x + y + z 20; 100x + 150y + 200z 3200; and 0;

The answer is 644 because x = 0, y = 16, z = 4.

To increase the number of interviews, it should be recommended that 0 undergraduate students, 16 graduate students, and 4 faculty members be hired. There can be a maximum of 644 interviews by statistics given.

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The most common method for solving a risk analysis problem is to select the alternative with the B) greatest expected value. The expected value is the weighted average of all possible outcomes, where the weight of each outcome is its probability of occurrence.

It represents the long-term average of a random variable and is a useful tool in decision-making under uncertainty.
In risk analysis, the expected value is used to compare different alternatives and assess their potential outcomes. By selecting the alternative with the greatest expected value, decision-makers aim to maximize their chances of achieving the best possible outcome.
However, it is important to note that expected value is not the only criterion for decision-making in risk analysis. Other factors, such as the variability of outcomes, the level of risk aversion, and the potential impact of different outcomes, may also need to be considered.
Therefore, while selecting the alternative with the greatest expected value is a common method for solving risk analysis problems, it should be used in conjunction with other decision-making criteria to ensure a comprehensive and effective risk management strategy.

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4n - 9

Step-by-step explanation:

use formula nth term = a + (n-1)d where a is the first term and d is common difference

Answer:

                  \(\bold{a_n=4n-9}\)

Step-by-step explanation:

-1-(-5) = 4   and   3-(-1) = 4   and  7-3 = 3

so: d=4

\(a_n=a_1+d(n-1)\\a_1=-5\\d=4\\\\a_{n}=-5+4(n-1)=-5+4n-4=4n-9\)

The exponential Fourier series representation:  we can rewrite it as (e^(it) - e^(-it))/i + (e^(i(3t - 21)) + e^(-i(3t - 21)))/2 + 3(e^(i(8t + 3)) + e^(-i(8t + 3)))/2.

The exponential Fourier series for the periodic signal g(t) can be obtained by expressing the trigonometric functions in terms of exponential functions using Euler's identities. Applying Euler's identities to the given signal g(t) = 2sin(t) + cos(3t - 21) + 3cos(8t + 3), we can rewrite it as (e^(it) - e^(-it))/i + (e^(i(3t - 21)) + e^(-i(3t - 21)))/2 + 3(e^(i(8t + 3)) + e^(-i(8t + 3)))/2. This representation utilizes exponential functions and Euler's identities to express the periodic signal g(t) in terms of complex exponential terms.

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Hey there! I'm happy to help!

This glass is most likely a cylinder. To find the volume of a cylinder you take the area of the circle base and multiply it by the height.

To find the area of a circle, you square the radius and multiply it by pi (we will use 3.14 for pi).

Our radius is 3cm.

3

We square it.

3²=9

Multiply by 3.14.

9×3.14=28.26

Now that we have our circle base area, we multiply it by the height (7 cm).

28.26×7= 197.82

This is how many cubic centimeters the glass can hold if it is completely full. However, we want half full, so we can just divide by 2.

197.82/2=98.91

We can also multiply our circle base by 3.5, which will give us half of the full height.

So, the height of the water is 3.5 cm and the volume of the water is 98.1 cm³.

Have a wonderful day and keep on learning! :D

Answer:

x=5

y=-2

Step-by-step explanation:

even though this looks like they want you to do it elimination ima do substation cause I like that better

2x-y=12

   +y. +y

2x=12+y

-12    -12

2x-12=y

Now we can fill in y

3x+4(2x-12)=7

3x+8x-48=7

11x-48=7

   +48. +48

11x=55

/11. /11

x=5

fill in X to find y

2(5)-y=12

10-y=12

-10. -10

-y=2

y=-2

hopes this helps please mark brainliest

Answer:

3.5

Step-by-step explanation:

I think it's mid point is 3.5

The percentage of dress was sold for 62% of its original price.

To find the percentage of the original price that the dress was sold for, we can use the formula for percentage change:

Percentage Change = (Change in Value / Original Value) × 100

In this case, the original value is the cost of the dress ($200), and the change in value is the difference between the original cost and the sale price ($76):

Original Value = $200

Sale Price = $76

Change in Value = Original Value - Sale Price

Change in Value = $200 - $76

Change in Value = $124

Now we can plug these values into the percentage change formula:

Percentage Change = (Change in Value / Original Value) ×100

Percentage Change = ($124 / $200) × 100

Percentage Change = 0.62× 100

Percentage Change = 62%

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A 95% confidence interval for percent of american adults who believe in aliens:  (0.6578, 0.7822)

In this question we have been given that in a survey conducted on an srs of 200 american adults, 72% of them said they believed in aliens

We need to find the 95% confidence interval for percent of american adults who believe in aliens.

95% confidence interval = (p ± z√[p(1 - p)/n])

Here, n = 200

p = 72%

p = 0.72

And the z-score for 95% confidence interval is 1.960

The upper limit of interval would be,

(p + z√[p(1 - p)/n])

= 0.72 + 1.960 √[0.72(1 - 0.72)/200]

= 0.72 + 1.960 √[(0.72 * 0.28)/200]

= 0.72 + 1.960 √0.001008

= 0.72 + 0.0622

= 0.7822

The lower limit of interval would be,

(p - z√[p(1 - p)/n])

= 0.72 - 1.960 √[0.72(1 - 0.72)/200]

= 0.72 - 1.960 √[(0.72 * 0.28)/200]

= 0.72 - 1.960 √0.001008

= 0.72 - 0.0622

= 0.6578

Therefore, a 95% confidence interval = (0.6578, 0.7822)

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When we divide both sides of the inequality,

3x > 27 by 3,  3x(3) > 27(3)

we get x > 9, as the simplified form of the inequality.

Thus, giving us the answer of:

x > 9

Answer:

Step-by-step explanation:

3x > 27

x > 9

Answer:

a and f

Step-by-step explanation:

two sides are equal and it has a right angle

Answer:

x=8.499

y=0.167

Step-by-step explanation:

the equation says:x^2-9y^2=72....(1)

x+3y=9.......(2)

divide (2) from (1),it becomes:

x-3y=8

making x subject of formula,

x=8+3y....(3)

submitting (3) into (1),it becomes

(8+3y)^2-9y^2=72

64+48y=72

48y=72-64=8

y=8/48=0.167......(4)

submitting (4) into (2),it becomes

x+3(0.167)=9

x+0.501=9

x=9-0.501

x=8.499