What three compounds make bases?

a. The negative slope shows that water is leaving the tank.

b. After 3 minutes, there are 70 gallons of water.

c. x-intercept = 10, meaning, it takes 10 minutes for the tank to empty.

d. y-intercept = 100, meaning, the initial water in the tank is 100-gallons.

e. Slope = 10

f. The water drains at 10 gallons per minute.

The slope (m) of an equation is the quotient of the rise of the line over the run of the line, which is change in y/change in x.

The x-intercepts of a line is the value of the variable x, when y = 0 (on a graph, the line intercepts the x-axis at this point), while the y-intercept is the value of y when x = 0 (on a graph, the line intercepts the y-axis at this point).

a. The slope is decreasing/declining, this means water is leaving the tank.

b. After 3 minutes, the water in the tank that remain is 70 gallons.

c. The x-intercept is 10, which means that after 10 minutes, all the water in the tank is emptied.

d. The y-intercept is 100, which means the amount of water in the tank initially is 100-gallons.

e. Slope = rise/run = 10/1 = 10

f. The meaning of the slope is that the water is drained at 10 gallons per minute.

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Answer:

(a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1) b^1 + C(n, 2)a^(n-2) b^2 + ... + C(n, n-1)a^1 b^(n-1) + C(n, n)a^0 b^n

The binomial expansion of (2x - 3y)^5 is:

32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5

The binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

The given expression is (2x-3y)⁵.

In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial.

(2x)⁵+⁵c₁(2x)⁴(3y)¹+⁵C₂(2x)³(3y)²+⁵C₃(2x)²(3y)³+⁵C₄(2x)(3y)⁴+⁵C₅(3y)⁵

= 32x⁵+5(16x⁴)(3y)+10.(8x³)(9y²)+10(4x²)(27y³)+5(2x)(81y⁴)+243y⁵

= 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵

Therefore, the binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

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Chad's car achieved an average rate of 10 miles per gallon.

The unit rate of miles per gallon can be calculated by dividing the total miles driven by the amount of gas consumed.

In this case, Chad drove 20 miles and used 2 gallons of gas.

To find the unit rate, we divide the miles by the gallons:

20 miles / 2 gallons = 10 miles per gallon.

Therefore, the unit rate of miles per gallon for Chad's car is 10 miles per gallon.

This means that for every gallon of gas Chad's car consumes, it is able to travel a distance of 10 miles.

It's important to note that the unit rate can vary depending on factors such as driving conditions, speed, and the type of car, but in this scenario, Chad's car achieved an average rate of 10 miles per gallon.

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Answer: Exact Form: x = 7/2

Decimal Form: x = 3.5

Mixed Number Form: x = 3 1/2

How to: Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Have a great day and stay safe !

The standard deviation of the costs is 37 Dhs

The given mean is 173 and 3% of costs exceed 243. We have to calculate the standard deviation of the cost. Therefore, let's first start by calculating the z-score as follows;z-score formula = `(x - μ) / σ`z-score = `243 - 173 / σ`z-score = `70 / σ`We need to find the standard deviation of the costs. Since the z-score formula includes standard deviation, we can first calculate the z-score and then use it to calculate the standard deviation.Using the z-table, we can find the z-score for 3% = -1.88-1.88 = (243 - 173) / σσ = (243 - 173) / -1.88σ = -70 / -1.88σ = 37.23≈ 37The standard deviation of the costs is 37 Dhs. Hence, the correct option is as follows.Option D is the correct option.

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Answer:

3p - q = 3(2-5) - (8x3) = -9 - 24 = -33. Therefore, 3p-q=-33.

answer is tan 7 a 4 a tan4a

Answer:

y = -7 + 3x

Step-by-step explanation:

\(6x - 2y = 14\)

\( - 2y = 14 - 6x\)

\(y = - 7 + 3x\)

\(y = - 7 + 3x\)

26

Step-by-step explanation:

39/2÷3/4

39/2×4/3

26

Answer:

Okay she purchased 19.5 pints of ice cream and will give 3/4 to each guest.

1. 3/4= 0.75

2. Divide 19.5 to 0.75 19.5/0.75 is 26

3. She can give 26 guests ice cream

Answer:

Total number of marbles in the bag is 3 + 4 = 7.

The problem asks for the probability of (RR) or (BB).

It's worthy to note we are replacing the balls after each draw, which means we always have 7 to draw from

Since each draw is independent, we take the product of each event for the total event probability.

P(RR) = 3/7 * 3/7 = 9/49

P(BB) = 4/7 * 4/7 = 16/49

We want to know P(RR) + P(BB)

P(RR) + P(BB) = 9/49 + 16/49 = 25/49

Answer:

Slope intercept form is y=-5/2x+9

Step-by-step explanation:

the y-intercept is −9 and the point is (0,−9)

the x-intercept is −3.6 and the point is (−3.6,0)

Explanation:

First, we find the slope and y-intercept

Now, the equation of a line is of the form

y=mx+c

Where,

m is the slope of the line and c is the y-intercept.

Let us write the given line in the standard form:

y=−5x2−82⇒y=−5x2−9

Comparing y=mx+c

to the given equation, y=−5x2−9

m=−52 and c=−9⇒Slope =−52and

y-intercept =−9

Next, we work out the

x-intercept.

the x-intercept is the point where the line cuts the x-axis. i.e. to find the point when y=0.

The equation in slope-intercept form for the line is y = -5x/2+9

The slope intercept formula y = mx + c is used when you know the slope of the line to be examined and the point given is also the y intercept (0, c).

Given that, a line has equation 5x + 2y = 18

The general form of the slope-intercept form for the line is y = mx+c, where m is the slope and c is the y-intercept.

Therefore, the required equation will be =

5x+2y = 18

2y = 18-5x

y = -5x/2+9

Hence, the equation in slope-intercept form for the line is y = -5x/2+9

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Answer:

f=24km/h

Step-by-step explanation:

Alright, here's what we know.

He travels 2 hours at a fast speed, lets call that speed f km/h

He then travels 3 hours at (f-10) km/h

In these 5 hours, he travels 90km

So we have the formula velocity = distance/time. If you don't know where that formula comes from, let me know and I'll explain.

So we have:

\(v=\frac{d}{t}\)

d and t are given to us as 90 and 5 respectively

v is going to be his average speed, so we take 2 times the fast speed plus 3 times the slower speed and divide it by 5. This gives us the average speed he traveled over the 5 hours.

\(\frac{2f+3(f-10)}{5} =\frac{90}{5}\)

2f+3f−30=90  by cancelling the 5's in the denominator and expanding 3(f−10)

5f=120

f=24km/h

So his faster speed is 24 km/h. Let me know if this solution did not make sense to you at any point.

Answer:

48

Step-by-step explanation:

Answer:

Slope = ⅘

Unit rate = 0.8 mile per hour

Step-by-step explanation:

The slope of the graph is simply the constant rate of change along the line of the graph or change in y-coordinates of two points divided by change in their corresponding x-coordinate.

For the graph given, distance (miles) is the y-variable, while time (hours) is the x-variable.

Given that Jorge travels 4 miles for every 5 hours, therefore, the slope of the graph plotted can be represented as \( \frac{4}{5} \)

The unit rate would be 4:5 = ⅘ = 0.8 mile per hour.

Answer:

from top to bottom:

x = y(v-w)

x = (yv/w)/2

x = (6+w)/v

x = (y-2w)/v

Step-by-step explanation:

Based on the survey of 81 California registered nurses, a hypothesis test can be conducted to determine if their annual salary is different from the national average of $69,110 using appropriate calculations and statistical analysis.

To determine if the annual salary of California registered nurses is different from the national average, you can conduct a hypothesis test. Here's how you can approach it:

1: State the hypotheses:

- Null Hypothesis (H0): The average annual salary of California registered nurses is equal to the national average.

- Alternative Hypothesis (Ha): The average annual salary of California registered nurses is different from the national average.

2: Choose the significance level:

- This is the level at which you're willing to reject the null hypothesis. Let's assume a significance level of 0.05 (5%).

3: Collect the data:

- The survey has already been conducted and provides the necessary data for 81 California registered nurses' annual salaries.

4: Calculate the test statistic:

- Compute the sample mean and sample standard deviation of the California registered nurses' salaries.

- Calculate the standard error of the mean using the formula: standard deviation / sqrt(sample size).

- Compute the test statistic using the formula: (sample mean - population mean) / standard error of the mean.

5: Determine the critical value:

- Based on the significance level and the degrees of freedom (n - 1), find the critical value from the t-distribution table.

6: Compare the test statistic with the critical value:

- If the absolute value of the test statistic is greater than the critical value, reject the null hypothesis.

- If the absolute value of the test statistic is less than the critical value, fail to reject the null hypothesis.

7: Draw a conclusion:

- If the null hypothesis is rejected, it suggests that the average annual salary of California registered nurses is different from the national average.

- If the null hypothesis is not rejected, it indicates that there is not enough evidence to conclude a difference in salaries.

Note: It's important to perform the necessary calculations and consult a t-distribution table to find the critical value and make an accurate conclusion.

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The smallest distance of the line to the point is of:

5.36 units.

Suppose the line is defined as follows:

ax + by + c = 0.

The coordinates of the points are as follows:

(x0,y0).

Then the shortest distance of the point to the line is:

D = |a(x0) + b(y0) + c|/sqrt(a²+b²).

In this problem, the line goes through these two points:

(2/7, 3) and (-2,11).

The slope is given by the change in y divided by the change in x, hence:

m = (11 - 3)/(-2 -2/7) = -3.5.

Then:

y = -3.5x + b.

When x = -2, y = 11, hence the intercept is calculated as follows:

11 = -3.5(-2) + b

11 = 7 + b

b = 4.

Then the line is:

y = -3.5x + 4.

3.5x + y - 4 = 0. (standard format, a = 3.5, b = 1).

The coordinates of the point are as follows:

(x0,y0) = (-3,-5).

Then the shortest distance is:

D = |3.5(-3) + 1(-5) - 4|/sqrt(3.5²+1²).

D = 19.5/sqrt(3.5²+1²).

D = 5.36 units.

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Answer:

Step-by-step explanation:

The circumference of the circular base of the barrel is equal to the distance it travels while rolling up the ramp, which is 136 meters. We can use the number of rotations (34) and the circumference to find the diameter of the base.

Let's call the diameter of the circular base "d".

The circumference of the base is equal to the distance traveled while rolling up the ramp, which is 136 meters:

C = 2 * π * r = 136

where r is the radius of the base.

Since the base rotates 34 times, the distance traveled is 34 times the circumference:

34 * C = 34 * 136

4,624 = 136 * 34

Solving for the radius:

r = 4,624 / (2 * π)

And finally, solving for the diameter:

d = 2 * r = 2 * 4,624 / (2 * π) = 928 / π

So, the diameter of the circular base of the barrel is approximately 295.3 cm, rounded to the nearest tenth.

Answer:

I think 4.32...............

Answer:  (sec x – tan x)(csc x + 1).

Step-by-step explanation:

The individual error rate for each of the 7 comparisons should be approximately 0.007 to maintain a family-wise error rate of 0.05. Option C is correct.

If there are 10 levels of one factor but only 7 comparisons are of importance, the total number of pairwise comparisons is given by the formula:

nC2 = (10 choose 2) = 45

Since only 7 of these comparisons are of importance, we need to adjust the individual error rate for multiple comparisons to maintain the overall family-wise error rate at 0.05.

Let α be the individual error rate for each of the 7 comparisons. Then, using the Bonferroni correction, the adjusted individual error rate for each comparison would be:

α' = α / m

where m is the number of comparisons of interest, which in this case is 7.

We want the family-wise error rate to be 0.05, so we have:

1 - (1 - α')^m = 0.05

Substituting α' = α / m, we get:

1 - (1 - α/m)^7 = 0.05

Solving for α, we get:

α ≈ 0.007

Option C is correct.

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Answer:

he dividend number is 80, the number used to divide another number is 10 and the result of the dividing two number is 8.

Step-by-step explanation:

In Herrnstein's matching equation, the letters and numbers to the left of the equals sign refer to behaviour.

THE MATCHING LAW

Herrnstein's Experiment Herrnstein (1961) conducted an experiment with pigeons in a room with two response buttons, red and white. Each key was assigned its own VI gain schedule. For example, under one condition, the left button pick was boosted on a VI 135 second schedule, and the right button pick was boosted on a VI 270 second schedule.

After the birds have learned as much as possible about this electoral situation, how do they distribute their responses? We trained them for days and then measured their reactions. As is often the case with VI schedules, birds returned many responses for each reinforcer received. Most interesting, however, is that in this condition, where two-thirds of the reinforcers came from the left button, the birds performed about two-thirds of the responses with the left button. That is, the proportion of left button responses equaled or matched the proportion of reinforcers delivered by the left button. In another condition, two birds received only about 15% of reinforcers from the left key and responded about 15% to that key.

Based on these results, Herrnstein proposed the following general principle for individual behavior when presented with alternative sequences. So, what you think makes sense rather than other options available at that particular moment.

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what is this?

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please help me

Answer:

v nfenj vqrevrkl

Step-by-step explanation: We do not allow links here :)

Answer:

1. 5/12

2. 3/8

3. 1/4

Step-by-step explanation:

The value of x for which cos(x) = sin(14x) is x = π/30. The solution x = π/30 represents one of the possible solutions within the given range of 0 ≤ x ≤ 2π.

To find the value of x for which cos(x) = sin(14x), we can use the trigonometric identity sin(θ) = cos(π/2 - θ).

Applying this identity to the given equation, we have:

cos(x) = cos(π/2 - 14x)

Since the cosine function is equal to the cosine of the complement of an angle, the two angles must be either equal or their difference must be a multiple of 2π.

Thus, we can set the two angles inside the cosine function equal to each other:

x = π/2 - 14x

To solve for x, we can simplify the equation:

15x = π/2

Dividing both sides by 15, we get:

x = (π/2) / 15

To express the answer in radians, we can simplify further:

x = π/30

Therefore, the value of x for which cos(x) = sin(14x) is x = π/30.

It's worth noting that the equation cos(x) = sin(14x) has infinitely many solutions, as the sine and cosine functions are periodic. The solution x = π/30 represents one of the possible solutions within the given range of 0 ≤ x ≤ 2π.

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Answer:  The distance  is 4.

Step-by-step explanation:

The distance will be the diffrence in the x  values squared  and the difference in the y values squared being added together and find their square root.

(1,3)  (5,3)

1- 5 = -4

3-3 = 0  

 4^2 + 0^2 = d^2   Where d is the distance.

16 + 0 = d^2

16 = d^2

 d = \(\sqrt{16}\)

d= 4

Answer:

0.75 hours

Step-by-step explanation:

Time taken by my pump = 6 hours

Time taken by friend's pump = x

Combined time = 1.5 hours

Rate :

my pump = 1/6

Combined rate = 1/1.5

Combinwd rate = 1/6 + 1/x

Hence :

1/6 + 1/x = 1/1.5

(x + 6) / 6x = 1.5

x + 6 = 9x

x - 9x = - 6

-8x = - 6

x = - 6 / - 8

x = 0.75 hours

Answer:

D

Step-by-step explanation:

6 ounces ÷1/2 ounce slices