how many pints=1 quart

Answer: $85 \(\leq\) $65 + ($5)*gg

Step-by-step explanation:

$85 \(\leq\) $65 + ($5)*gg

The values are in $/month, but we'll assume 1 month is all we need to answer the question of what it would take to remain below $85/month.  The fixed ciost, $65/month, is added to the gigabyte (gg) usage of $5/gg.  (I'd prefer gb for gigabyte, but I'll stick with gg).

Together, they should be \(\leq\) $85/month, thus we get:

$85 \(\leq\) $65 + ($5)*gg

Answer: A

Step-by-step explanation:

In a cylinder A=2πrh+2πr^2.  Plugging in the values of the problem gives you about 489.8

The number of different combination may a new car would have is 10 ways.

What is a combination in mathematics?

The combination is defined as "an arrangement of objects in which the order in which the objects are chosen is unimportant." The combination means "selection of things," where the order is irrelevant.

Given that there are 10 different options.

We have to choose one car.

So total number of combinations = \(^{10}C_1\)

                                                       = 10!/(9!)(1!)

                                                       = 10 ways

Hence, the number of different combination may a new car would have is 10 ways.

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In 10 ways the combination of a new car can be installed as followed by the rules of Permutation combination.

what is Permutation combination ?

Putting things or numbers in order is the definition of a permutation. Combinations are a method of choosing elements such as numbers or objects from a collection or set of elements without regard to the elements' order.

Solution:

Given that the car are 10 different options.

We have to choose one car.

So total number of combinations = 10C1

                                                      = 10!/(9!)

                                                      = 10 ways

Therefore, In 10 ways the combination of a new car can be installed.

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Answer:

$640

Step-by-step explanation:

im actually not too sure. i think thats right

Answer:

320

Step-by-step explanation:

The given statement is true. If f '(x) < 0 for 7 < x < 10, then f is decreasing on (7, 10).

If f '(x) < 0 for 7 < x < 10, then f is decreasing on (7, 10).

Declining Function: A function f is said to be decreasing on an interval I if for any two values x₁ and x₂ in I, with x₁ < x₂, then f (x₁) > f (x₂).

Since f '(x) < 0 for 7 < x < 10, it implies that the slope of the tangent line to the curve at every point in the interval (7,10) is negative. That means the graph of f is declining in that interval.

Therefore, the given statement is true. If f '(x) < 0 for 7 < x < 10, then f is decreasing on (7, 10).
This is because a negative first derivative, f'(x), indicates that the function is decreasing. The fact that f'(x) < 0 for all values of x in the given interval (7, 10) implies that the function is continuously decreasing throughout that interval.

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Prolific will bike 2 miles to get to the mechanic at the 6th gas station if the pattern continues.

Assuming the rate remains constant, we can use the equation d = rt, where d is the distance, r is the rate, and t is the time. In this case, we want to find the equation to determine the distance of the Nth gas station.

Let's analyze the given information:

The first gas station is 1.5 miles away.

From the second gas station onwards, each gas station is located at a distance 0.1 miles greater than the previous one.

Based on this pattern, we can write the equation for the distance of the Nth gas station as follows:

d = 1.5 + 0.1(N - 1)

B. To find the distance Prolific will bike to get to the 6th gas station, we can substitute N = 6 into the equation from part A:

d = 1.5 + 0.1(6 - 1)

= 1.5 + 0.1(5)

= 1.5 + 0.5

= 2 miles

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In order to plot points H I and J on the coordinate planeIdentify the x-coordinate and y-coordinate of each point (H, I, and J). For example, let's say the coordinates are as follows:

Point H: (xH, yH)

Point I: (xI, yI)

Point J: (xJ, yJ)

Locate the origin (0, 0) on the coordinate plane. This is the starting point for plotting any point.

Move along the x-axis according to the x-coordinate of each point. If the x-coordinate is positive, move to the right; if it's negative, move to the left. Mark a point on the x-axis at the appropriate location.

Move along the y-axis according to the y-coordinate of each point. If the y-coordinate is positive, move upward; if it's negative, move downward. Mark a point on the y-axis at the appropriate location.

The point where the x and y axes intersect is the location of the point. Mark that point on the coordinate plane.

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How to Plot points H I and J on the coordinate plane

Answer:

B

Step-by-step explanation:

To be continuous at x=0, you need three things:

1. f(0) must be defined

2. limit as x –> 0 must exist

3. f(0) = limit as x –> 0

f(0) in this case is the following:

    \(f(0) = k + 2 \ln(0+e^{0+1}) = k + 2 \ln(e) = k + 2\)

We have to pause on this, since this by itself cannot give us the value of k.

For the limit, you need to make sure the limit from the left matches the limit from the right.

    \(\lim\limits_{x\to 0^+} k+2\ln(x+e^{x+1}) = k+2\)

    \(\lim\limits_{x\to 0^-} \frac{\sin(7x)}{2x} =\frac{7}{2}\)

The only way this limit can exist is if \(k+2 = \dfrac{7}{2}\), which means \(k = \dfrac{3}{2}\).

Using that k-value also allows f(0) = 7/2, which makes your function continuous.  

If you need to know how to make that second limit work out to 7/2, there are two steps to take.  

The first is to bring the 1/2 out front, since it's a constant factor inside the limit.

    \(\lim\limits_{x\to 0^-} \frac{\sin(7x)}{2x} =\frac{1}{2}\cdot\lim\limits_{x\to 0^-} \frac{\sin(7x)}{x}\)

The second is to manipulate the what you're taking the limit of to turn it into a "sin(u)/u" situation.  To do this, we'll multiply by 7/7 inside the limit:

    \(\frac{1}{2}\cdot\lim\limits_{x\to 0^-} \frac{\sin(7x)}{x}=\frac{1}{2}\cdot\lim\limits_{x\to 0^-} \frac{{\boldsymbol7\cdot{}}\sin(7x)}{{\boldsymbol7\cdot{}}x}\)

We'll then factor out the 7 in the numerator like we did with the 1/2:

    \(=\frac{7}{2}\cdot\lim\limits_{x\to 0^-} \frac{\sin(7x)}{7x}\)

And now with a quick u-substitution, we'll let u = 7x and x->0 is the same as u->0, we have

    \(=\frac{7}{2}\cdot\lim\limits_{u\to 0^-} \frac{\sin(u)}{u}\)

This is useful because a good limit to know in calculus is that \(\lim\limits_{u\to 0} \frac{\sin(u)}{u}=1\).

The area of a rectangle is given by the formula: Area = length × width
Differentiating both sides with respect to time (t), we get:
d(Area)/dt = length × d(width)/dt + width × d(length)/dt
d(Area)/dt = 11 × 4 + 4 × 7
d(Area)/dt = 44 + 28
d(Area)/dt = 72 cm²/s
So, the area of the rectangle is increasing at a rate of 72 cm²/s.

To find how fast the area of the rectangle is increasing, we need to use the formula for the area of a rectangle: A = lw, where A is the area, l is the length, and w is the width.

We are given that the length is increasing at a rate of 7 cm/s and the width is increasing at a rate of 4 cm/s. We can use this information to find the rate of change of the area:
dA/dt = (d/dt)(lw)

Using the product rule of differentiation, we get:
dA/dt = l(dw/dt) + w(dl/dt)

Substituting the given values at the instant when the length is 11 cm and the width is 4 cm, we get:
l = 11 cm
w = 4 cm
dl/dt = 7 cm/s
dw/dt = 4 cm/s

Plugging these values into the equation, we get:
dA/dt = (11)(4) + (7)(4)
dA/dt = 44 + 28
dA/dt = 72 cm2/s

Therefore, the area of the rectangle is increasing at a rate of 72 cm2/s when the length is 11 cm and the width is 4 cm.

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Answer:

$8000

Step-by-step explanation:

profit = selling price - Cost Price

P = 35000-27500

P= 8000

The correct order of the steps in the scientific method is: observation, hypothesis, experiment, result, and conclusion

The correct order of the steps in the scientific method is as follows:

e. Observation - Start by making observations or gathering information about a particular phenomenon or problem. This involves carefully observing and noting relevant details and patterns.

b. Hypothesis - Based on the observations, formulate a hypothesis, which is a proposed explanation or prediction that can be tested through experimentation.

c. Experiment - Design and conduct experiments or investigations to test the hypothesis. This step involves carefully controlling variables, collecting data, and performing measurements.

a. Result - Collect and analyze the data obtained from the experiments or investigations. This analysis helps determine if the results support or reject the hypothesis.

d. Conclusion - Draw a conclusion based on the analysis of the data. Evaluate whether the results support the hypothesis and discuss the implications and significance of the findings. The conclusion may also involve suggesting further research or revisions to the hypothesis.

The scientific method is a systematic approach used in scientific inquiry to investigate and understand the natural world. It allows researchers to gather evidence, test hypotheses, and draw reliable conclusions based on empirical data.

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Answer:

im gonna say 24

Step-by-step explanation:

Answer:

He typically work each day for 10 hours.

According to the question, the expression can be written as:

The time taken to stretch the fingers = (1/2)t

Similarly, the time taken to smashed toes = (1/5)t

Total time = 7 hours

Now, the final expression can be written as:

(1/2)t + (1/5)t = (7)

(7/10)t = 7

t = 10 hours

Hence, he typically work each day for 10 hours.

What is time and work?

The time and work represents the problems deals with the time either with the individual or the group of the people to complete the piece of work. And the efficiency taken by each individual.

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Answer: 1618 cm^2

The formula to find surface area of a cuboid is 2(ab + bc + ca)

2(19*3.5 + 3.5*33 + 33*19)

--> 1618

Answer:

74%

Step-by-step explanation:

Answer:

0.74

Step-by-step explanation:

\(\bold{3(n - 1) < 21 }\\\\\bold{ 3n - 3 < 21 }\\\\\bold{ 3n < 21 + 3} \\\\\bold{ 3n < 24} \\\\\bold{ n < \cancel\frac{24}{3}} \\\\ \bold{n < 8}\)

hope helpful~

Hello.

The first step is to use the Distributive Property and distribute 3:

3(n-1)<21

3n-3<21

Now, add 3 to both sides:

3n-3+3<21+3

3n<24

Divide both sides by 3:

n<8

Therefore, the answer is

n<8

I hope it helps.

Have a nice day.

\(\boxed{imperturbability}\)

The company should survey at least 601 customers to be 95% confident that the estimated proportion is within 4 percentage points of the true population proportion.

To determine the sample size needed, we can use the formula:

n = (z^2 * p * (1-p)) / E^2

where:

n is the sample size needed

z is the z-score for the desired confidence level (in this case, 1.96 for 95% confidence)

p is the estimated population proportion (we don't have an estimate, so we'll use 0.5, which gives the largest possible sample size)

E is the maximum margin of error (4 percentage points in this case, or 0.04)

Plugging in the values, we get:

n = (1.96^2 * 0.5 * 0.5) / 0.04^2

n = 600.25

We round up to the nearest whole number to get a sample size of 601.

This means that if the company surveys 601 randomly selected customers and finds that, for example, 60% of them keep up with regular vehicle maintenance, we can be 95% confident that the true proportion of all customers who keep up with regular vehicle maintenance is between 56% and 64%.

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Answer:

I think it's A (parallel)

Answer:

A. its parallel

Step-by-step explanation:

all angles are equal... two sides are perpendicular and two are parallel

Answer:

Avery and Cindy are right

Step-by-step explanation:

Avery is correct because adding 2 to the graph of a function will shift it upward, while subtracting will shift it downward. Cindy is also correct because the point on the x axis also changes, would mean that every point also changes horizontally.

Answer:

The answer is 157

Step-by-step explanation:

Answer:

157

Step-by-step explanation:

just took the test ;)

The solution to the system of equation is as follows:

System of equation can be solved with different methods such as elimination method, substitution method and graphical method.

The system of equation can be solved with elimination as follows:

Hence,

-3y + 5x = 26

-2y - 5x  = -16

add the equation to eliminate x

Hence,

-5y = 10

divide both sides of the equation by -5

y = 10 / -5

y = -2

Hence,

- 3(-2) + 5x = 26

6 + 5x  = 26

5x = 26 - 6

5x = 20

x  = 20 / 5

x = 4

Therefore,

x = 4

y = -2

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Independent variables are the factors that are manipulated or controlled by the researcher in a study. In the context of investigating the impact of a school nutrition program on grade performance of high school students, the independent variable would be the school nutrition program itself.

The researcher would design and implement the program, and this variable would be under their control.

Dependent variables, on the other hand, are the outcomes or variables that are measured in a study and are expected to change as a result of the independent variable. In this case, the dependent variable would be the grade performance of the students. The researcher would collect data on the grades of the students before and after the implementation of the nutrition program, and this would be the variable that is expected to be influenced by the independent variable.

In summary, the independent variable in this research design is the school nutrition program, while the dependent variable is the grade performance of the students. The researcher would manipulate the independent variable (implement the nutrition program) and then measure the dependent variable (student grades) to determine if there is an impact of the program on grade performance.

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By using the distributive property, you have:

Hence, the simplified expression is equal to 80

Answer:

x = 5

Step-by-step explanation:

TU is a tangent segment with length 6.  RT is a secant segment.

In the circle, the square of the tangent is equal to the product (multiply) of the part of the secant outside the circle and the secant's entire length.

Words don't work well here, do they!

In symbols,  (ST)(RT) = (TU)^2

\(4(x+4)=6^2\\4x+16=36\\4x=20\\x=5\)

Answer: 209.48

Step-by-step explanation:

The maximum and minimum amount of hickers that could of walked between 8 and 19 miles is 19 and 7.

The minimum and maximum value depend on the context in which they are being used.

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