WILL GIVE BRILLIANTIEST
A refreshment stand makes 2 large servings of frozen yogurt from 7 pints. Graph the line and then write
Its equation. Let the x-axis represent the number of pints and the y-axis represent the number of
servings. Use only fractional form, if necessary.
10
Servings
8
7
6
4
2
1
Pints
$
1
2
4
IN
8
9
10
2
The equation isy =


Answer:

can u show a more clear picture or tell me the numbers on it

The integral: S1 0 (-x³ - 2x² - x + 3)dx is -1/12

An integral is a mathematical operation that calculates the area under a curve or the value of a function at a specific point. It is denoted by the symbol ∫ and is used in calculus to find the total amount of change over an interval.

To evaluate the integral:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx $\)

We can integrate each term of the polynomial separately using the power rule of integration, which states that:

\($ \int x^n dx = \frac{x^{n+1}}{n+1} + C $\)

where C is the constant of integration.

So, we have:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = \left[-\frac{x^4}{4} - \frac{2x^3}{3} - \frac{x^2}{2} + 3x\right]_0^1 $\)

Now we can substitute the upper limit of integration (1) into the expression, and then subtract the result of substituting the lower limit of integration (0):

\($ \left[-\frac{1^4}{4} - \frac{2(1^3)}{3} - \frac{1^2}{2} + 3(1)\right] - \left[-\frac{0^4}{4} - \frac{2(0^3)}{3} - \frac{0^2}{2} + 3(0)\right] $\)

Simplifying:

\($ = \left[-\frac{1}{4} - \frac{2}{3} - \frac{1}{2} + 3\right] - \left[0\right] $\)

\($ = -\frac{1}{12} $\)

Therefore,

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = -\frac{1}{12} $\)

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Answer:

5/6

Step-by-step explanation:

9/18 + 1/3

Convert 1/3 to match 9/18:

1/3 = 6/18

1 * 6 = 6

------------

3 * 6 = 18

6/18

9/18 + 6/18

15/18

Find the GCF of 15 and 18:

15

1, 3, 5, 15

18

1, 2, 3, 6, 9, 18

Divide:

15 ÷ 3

-------

18 ÷ 3

5/6 <== final answer

Hope this helps!

Answer:

Step-by-step explanation:

rational

Answer:

Rational

Explanation:

18/42 is 4.258 which is a rational number

Answer:

Finding a tutor for mathematics? If that's the problem

Step-by-step explanation:

Try asking friends, family, close people in your family about mathematics. Maybe they have the same problem and somehow got over it by studying, asking questions, or they have a tutor, etc

Try using that same method that they used. If none of them have problems, ask your parents about that. They might be willing to sit down and teach you a little bit...

I have always had problems with math so I am sorry if it doesn't work out for you

Answer:

x = 61

Step-by-step explanation:

Supplementary angles add up to 180 degrees. We can create an equation and solve for x.

(2x + 6) + (x - 9)= 180

~Combine like terms

3x - 3 = 180

~Add 3 to both sides

3x = 183

~Divide 3 to both sides

x = 61

Best of Luck!

Answer:  Distance

4

Midpoint

(−1,−9)

Slope

0

x intercept

−Inf∈ity

y intercept

−9.00

Step-by-step explanation:

The lifetime budget constraint can be represented on a diagram by plotting C₁ on the x-axis and C₂ on the vertical axis.

The lifetime budget constraint illustrates the consumption possibilities for an individual over their lifetime. It shows the combinations of consumption in period 1 (C₁) and period 2 (C₂) that the individual can afford, given their initial endowment and borrowing constraints. The slope of the budget constraint represents the relative price of consumption in the two periods. The individual's budget constraint will shift outward if there is an increase in the initial endowment or a relaxation of borrowing constraints.

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The three computations covered by the reliability factor table are sample size, index of reliability, and index of precision. Sample size deals with the size of the sample being used in order to achieve a desirable level of reliability.

Index of reliability is used to measure the consistency of results achieved over multiple trials. It does this by calculating the total number of items that contribute significantly to the final result. Finally, the index of precision measures the effect size of the sample, which is determined by comparing the results from the sample with the expected results.

The sample size computation gives the researcher an idea of the number of items that should be included in a sample in order to get the most reliable results. This is done by taking into account a number of factors including the variability of the population, the type of measurements used, and the desired level of accuracy.

The index of reliability is commonly calculated by finding the ratio of the number of items contributing significantly to the total result to the total number of items in the sample. This ratio is then multiplied by 100 in order to get a final score.

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Answer:

almost 3 mph so I'm guessing (d) is the answer

Step-by-step explanation:

35  ÷ 12 = 2.9 miles per hour

Answer:

perimeter = 4s

Step-by-step explanation:

A square has 4 sides of equal length.

If one side has length s, then all sides have length s.

The perimeter is the sum of the lengths of the sides.

perimeter = s + s + s + s

perimeter = 4s

Answer:

19440

Step-by-step explanation:

f(x) = 5000(0.972)x

[x = time in years; therefore, substitute x with the given value]

["... how many lemmings will there be in 4 years?]

f(x) = 5000(0.972)4

f(x) = 19440

By standard deviation,

H​​​​​​0:μ=2.5

H​​​​​​a:μ<2.5 is the appropriate test to perform.

How to interpret a standard deviation?

The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean.

                     Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.

From the given information,

t-test about mean,

Null and Alternative hypothesis is,

H​​​​​​0:μ=2.5

H​​​​​​a:μ<2.5

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Answer:

Set your calculator to degree mode.

sin(C)/8 = sin(49°)/35

sin(C) = 8sin(49°)/35 = .1725

C = 9.9°

A = 180° - (9.9° + 49°) = 121.1°

35/sin(49°) = a/sin(121.1°)

a = 35sin(121.1°)/sin(49°) = 39.7 feet

9514 1404 393

Answer:

  13

Step-by-step explanation:

Let n represent that number.

  (2 +n)/(5 +n) = 5/6 . . . . . . . . n is added to numerator and denominator

  6(2 +n) = 5(5 +n) . . . . . . . . . multiply by 5(5+n)

  12 +6n = 25 +5n . . . . . . . . . eliminate parentheses

  n = 13 . . . . . . . . . . . subtract 5n+12

Adding 13 to each term will give 5/6.

__

Check

  (2 +13)/(5 +13) = 15/18 = (3·5)/(3·6) = 5/6

_____

Alternate solution

The difference of denominator and numerator in 2/5 is 5-2 = 3. The difference of denominator and numerator in 5/6 is 6-5 = 1. In order to make the latter difference 3, we must have (3/3)(5/6) = 15/18. We can get 15/18 from 2/5 by adding 13 to numerator and denominator.

There are approximately 680 students in the school. To determine the total number of students in the school based on the given information that 408 students represent 60% of the school.

We can set up a proportion and solve for the total number of students.

To find the total number of students in the school, we can use a proportion to relate the known number of students (408) to the percentage it represents (60%) and solve for the unknown total number of students.

Set up the proportion: (408 students) is to (60%) as (unknown total students) is to (100%).

Convert the percentage to a decimal: 60% becomes 0.60.

Rewrite the proportion using the decimal: 408 is to 0.60 as unknown is to 1.

Cross-multiply: 408 * 1 = unknown * 0.60.

Solve for the unknown by dividing both sides of the equation: unknown = (408 * 1) / 0.60.

Calculate: unknown ≈ 680 students.

Therefore, there are approximately 680 students in the school.

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Option A. Never. A correlation coefficient is a measure of the strength and direction of the linear relationship between two variables.

However, a strong correlation between two variables does not necessarily mean that one causes the other. This is because there may be other factors, known as confounding variables, that affect both variables simultaneously. Therefore, it is not appropriate to use a correlation coefficient to establish a causal relationship between two variables. In order to establish causality, more rigorous methods such as randomized controlled trials must be used, which attempt to isolate the effect of one variable on another while holding other factors constant.

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Divide the corresponding sides

3/6 = 0.5

5/4 = 1.25

6/8 = 0.75

We get different results, so the sides are not in the same ratio or proportion.

Answer:

Step-by-step explanation:

You want the area of a 16-unit circle using different values for pi.

The formula for the area of a circle is ...

  A = πr² . . . . . . where r is half the diameter

For the different values of pi, this will be (in square units) ...

  π(8²) = 64π . . . . exact

  3.14(8²) = 200.96 . . . . using 3.14 for π, slightly low

  22/7(8²) = 201 1/7 . . . . using 22/7 for π, slightly high

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Answer:It's composite

Step-by-step explanation:It's composssssiiiiitttteeeee

It will take Firefighter Corrigan 45 minutes to complete the job alone.

Let's assume the amount of work required to paint the fence is represented by "1 job" or "1 unit of work."

We can use the concept of work rate to solve this problem. The work rate is the amount of work done per unit of time.

Let's denote the work rate of Firefighter Ginley as G (in jobs per minute) and the work rate of Firefighter Corrigan as C (in jobs per minute).

According to the given information:

Firefighter Ginley can complete the job alone in 30 minutes, so his work rate is 1 job / 30 minutes = 1/30 jobs per minute.

Firefighter Ginley and Firefighter Corrigan together can complete the job in 18 minutes, so their combined work rate is 1 job / 18 minutes = 1/18 jobs per minute.

Now, let's express the work rates in terms of time taken by Firefighter Corrigan alone:

Work rate of Firefighter Ginley + Work rate of Firefighter Corrigan = Combined work rate

1/30 + C = 1/18

To find the work rate of Firefighter Corrigan, we subtract the work rate of Firefighter Ginley from the combined work rate:

C = 1/18 - 1/30

C = (5/90) - (3/90)

C = 2/90

Simplifying, we get:

C = 1/45

This means that Firefighter Corrigan can complete 1/45 of the job per minute.

To find out how long it will take Firefighter Corrigan to complete the job alone, we can invert the work rate:

Time taken by Firefighter Corrigan = 1 / Work rate of Firefighter Corrigan

Time taken by Firefighter Corrigan = 1 / (1/45)

Time taken by Firefighter Corrigan = 45 minutes

Therefore, it will take Firefighter Corrigan 45 minutes to complete the job alone.

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The area to the left of z=1.07 is approximately 0.8577 (rounded to four decimal place. To find the area under the standard normal curve to the left of z = 1.07 using a TI-84 calculator.

Follow these steps:

1. Press the "2nd" button, then press "Vars" to access the "DISTR" menu.
2. Scroll down to "normalcdf(" and press "Enter".
3. Enter -99999 (or -E99) as the lower limit, since we want to find the area to the left of z = 1.07, which is very close to negative infinity.
4. Enter 1.07 as the upper limit, since we want to find the area to the left of this value.
5. Enter 0 as the mean, since we're working with the standard normal distribution.
6. Enter 1 as the standard deviation, since we're working with the standard normal distribution.
7. Press "Enter" to calculate the area.

The answer should be approximately 0.8577 when rounded to four decimal places.

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To find the intersection point between the curve y = tan(x) and the line y = 7x, we can use Newton's method. Newton's method is an iterative numerical method used to approximate the root of a function.

We need to find the x-value where the curves intersect, so we can set up the equation tan(x) - 7x = 0. We want to find a solution between x = 0 and some unknown value denoted as X.

Using Newton's method, we start with an initial guess x_0 for the solution and iterate using the formula:

x_(n+1) = x_n - f(x_n) / f'(x_n),

where f(x) = tan(x) - 7x and f'(x) is the derivative of f(x).

We continue this iteration until we reach a desired level of accuracy or convergence. The resulting value of x will be the approximate intersection point between the two curves.

Please note that without specific values or range for X or an initial guess x_0, it is not possible to provide a specific numerical answer. However, you can apply Newton's method using an initial guess and the given function to find the approximate intersection point.

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Answer:

a) $5.75 for 14 oz

Step-by-step explanation:

1) Find how much soap you get for $1 of each

To find out this, we have to divide the amount by how much it costs. This will give us how much soap each one will give you for $1.

a) 14 ÷ 5.75 = 2.43

b) 13 ÷ 5.50 = 2.36

c) 3.5 ÷ 3.45 = 1.01

d) 12 ÷ 5.25 = 2.29

From this we can see that we would be getting the most soap for $1 if we were to buy the first one. This means that it is the best deal!

Hope this helps, have a lovely day! :)

Answer:

there are 5 lines of symmetry in that figure.

Answer:

metre squared (m²)

Step-by-step explanation:

metre×metre=metre squared (m²)

We may build up a proportion and solve for the scale model radius of Neptune using the ratio between the radii of the two planets and the known scale model radius of the Earth. The scale model of Neptune that is produced has a radius of around 9.7 cm.

We may take advantage of the fact that the ratio between the two planets' radii and the ratio between their respective scale model radii is the same. Let's name the Neptune scale model radius "r" Then, we may set up the ratio shown below:

Neptune's radius is equal to the product of Earth's radius and its scale model.

With the provided values, we may simplify and obtain:

24620 km / 6370 km equals 2.5 cm / r

We obtain the following when solving for "r":

r = (24620 km * 2.5 cm) / (6370 km)

r ≈ 9.7 cm

Therefore, a scale model of Neptune would have to be drawn with a radius of approximately 9.7 cm.

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