convert gallons to cups

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

D = ?

V = 8050 m³

Step 02:

Hemisphere volume

V = (2 /3 ) π r ³

15.6644 = r

D = 2 * r = 2 * 15.6644 = 31.3287

The answer is:

D = 31.3 m

Answer:

Step completed incorrectly:  2

Correct Answer: y = -4x + 22

Step-by-step explanation:

The graph is a straight line through points M(4, -1) and N(8, 0).  Point Q is located at (6, -2).

To calculate the slope of the line, substitute the points into the slope formula:

\(\textsf{Slope $(m)$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-(-1)}{8-4}=\dfrac{1}{4}\)

Therefore, the slope of MN is 1/4, so step 1 of Francisco's calculations is correct.

If two lines are perpendicular to each other, the slopes of these lines are negative reciprocals. The negative reciprocal of a number is its negative inverse.

The negative reciprocal of 1/4 is -4.

Therefore, the slope of the perpendicular line is -4.

So Francisco has made an error in his calculation in step 2 by not making the perpendicular slope negative.

Corrected work

\(\textsf{Step 1:} \quad \sf slope\;of\;MN:\; \dfrac{1}{4}\)

\(\textsf{Step 2:} \quad \sf slope\;of\;the\;line\;perpendicular:\; -4\)

\(\begin{aligned}\textsf{Step 3:} \quad y-y_1&=m(x-x_1)\;\; \sf Q(6,-2)\\y-(-2)&=-4(x-6)\end{aligned}\)

\(\textsf{Step 4:} \quad y+2=-4x+24\)

\(\textsf{Step 5:} \quad y+2-2=-4x+24-2\)

\(\textsf{Step 6:} \quad y=-4x+22\)

Therefore, step 2 has been completed incorrectly.

The correct answer is y = -4x + 22.

According to the information, we can infer that Mazibane must pay R3640 into the account on 30 June to have no debt.

To calculate the amount Mazibane must pay on 30 June to have no debt in the account, we need to consider the initial debt, the interest, and the previous payment.

Initial Debt:

Interest Calculation:

Previous Payment:

To determine the remaining debt on 1 June, we subtract the payment from the initial debt:

From 1 June to 30 June, a period of one month, interest is charged on the remaining debt.

To calculate the interest for one month, we use the formula:

where the principal is the remaining debt, the rate is the monthly interest rate (16%/12), and the time is the number of months (1).

To find the total debt on 30 June, we add the remaining debt on 1 June and the interest for one month:

To have no debt on 30 June, Mazibane must pay the total debt amount:

Calculating the interest and summing up the values, we find that Mazibane must pay approximately R3640 into the account on 30 June to have no debt.

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Answer:

m = 2/3

Step-by-step explanation:

Answer:

\( \frac{2}{3} \)

Step-by-step explanation:

slope is

\( m = \frac{rise}{run} = \frac{y 2 - y1}{x2 - x1} \)

(0,0) & (3,2)

\( m = \frac{2 - 0}{3 - 0} = \frac{2}{3} \)

Answer:

4005

Step-by-step explanation:

3,998 - (-7) = ?

Two negative signs will make a positive sign.

3,998 - (-7) = 3998 + 7 = 4005

So, the answer is 4005

Answer:

If you really meant that the number of dogs is 12 greater than 3 times the number of cats then:

3 cats

Step-by-step explanation:

21= number of dogs

c = number of cats

21 = 12 + (3c)

3c = 9

c = 3

The option that produces the  smallest width for a confidence interval for µ is; D. a 90% confidence interval based on a sample of n = 100

The formula for the confidence interval is;

CI = x' ± z(s/√n)

where;

x' is mean

s is standard deviation

n is sample size

Now, It is pertinent to note that the higher the confidence level, the higher the z-score and as such the larger the width of confidence interval for µ.

Similarly, the higher the sample size, the lesser the margin of error and in turn the smaller the width.

Thus, a confidence level of 90% and a sample size of 100 from the given options will be concluded to be the one that produces the  smallest width for a confidence interval for µ.

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Answer:

3 Stamps left

Step-by-step explanation:

275/8=34.375

34*8=272

275-272=3

Answer: 3

Answer: 300

Step-by-step explanation: 25 multipled by 12 is 300

Answer: I think its 300

Step-by-step explanation: Because if you multiply 12 by 25 you would get 300.

The dimensions of the room are approximately 7 meters by 10.5 meters.

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.

Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.

The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:

\(\text{Perimeter} = 2(\text{length} + \text{width})\)

Substituting the values we have for length and width, we get:

\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)

Simplifying the equation, we get:

\(\rightarrow35 = 2(2.5\text{x})\)

\(\rightarrow35 = 5\text{x}\)

\(\rightarrow\text{x}=\dfrac{35}{5}\)

\(\rightarrow\bold{x\thickapprox7}\)

So the width of the room is 7 meters.

To find the length, we can substitute x into the expression we have for the length:

\(\rightarrow\text{Length} = 1.5\text{x}\)

\(\rightarrow\text{Length} = 1.5(7)\)

\(\rightarrow\bold{Length=10.5}\)

So the length of the room is 10.5 meters.

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Answer:

x = 2

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × breadth

given the rectangles have equal areas then equating the two areas gives

4x × 9 = 4(6x + 6) , that is

36x = 24x + 24 ( subtract 24x from both sides )

12x = 24 ( divide both sides by 12 )

x = 2

Answer:

115 hours.

Step-by-step explanation:

35+70=105

105+10=115 hours

Answer:

42 m^2

Step-by-step explanation:

Answer:

39 meters squared

Step-by-step explanation:

i dont care if i got it wrong because i am a geniuds yhsnkd thanks

Answer:

1500t and 2500l

Answer:

15 laptops.

Step-by-step explanation:

You need to find the money earned by selling 10 tablets which is:

1500 x 10 = 15 000

After that, minus the amount of money needed for the goal from the amount of money earned from selling 10 tablets.

52 500 - 15 000 = 37 500

The remaining amount of money is the amount of money you get after finding out how much you make from selling 10 tablets. Use the remaining and divide it with the amount of money needed for each laptop:

37 500 ÷ 2500 = 15

Answer: 15

The total height of the flyer at any time after deploying the wingsuit would be;

y = -3x + 200 + (-4.9t² + 420),

Now, Based on the given information, we can use the two functions to determine the height of the wingsuit flyer at a particular time.

During the freefall, the height of the flyer can be calculated using the function

y = -4.9x² + 420.

Let's say the flyer falls freely for t seconds before deploying the wingsuit.

Therefore, the height at the moment of deploying the wingsuit would be,

y = -4.9t² + 420.

After deploying the wingsuit, the height of the flyer is given by the function

y = -3x + 200.

We can combine these two functions to get the total height of the flyer at any given time after deploying the wingsuit.

So, the total height of the flyer at any time after deploying the wingsuit would be;

y = -3x + 200 + (-4.9t² + 420),

where x is the time after deploying the wingsuit and t is the time of freefall before deploying the wingsuit.

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The salesperson earned $2800 for selling 2 cars and 3 trucks.

A linear equation is an algebraic equation in which each term has an exponent of 1 and, when graphed, the result is always a straight line.

Given that, a salesperson earns a commission based in number and type of vehicle sold. a person selling 6 cars and 3 trucks earns $4800. a person selling 8 cars and 1 truck earns 4600.

Let c in equation denotes cars and t denotes trucks, then according to question,

6c+3t=4800

2c+t=1600.........(i)

8c+t=4600..........(ii)

Solving the equations by elimination, we get,

c = 500 and t = 600

For person selling 2 cars and 3 trucks, the earning will be 2*500+3*600 = 1000+1800 = $2800

Hence, The salesperson earned $2800 for selling 2 cars and 3 trucks.

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To find the specified scalar, we need to first find the dot product of U and V, and then the dot product of U and W, and add these two dot products together:

U·V + U·W

where U·V denotes the dot product of U and V, and U·W denotes the dot product of U and W.

The dot product of two vectors a = (a1, a2) and b = (b1, b2) is given by:

a · b = a1b1 + a2b2

Using this formula, we can find the dot product of U and V:

U · V = (4i - j) · (5i + j) = 4i · 5i + 4i · j - j · 5i - j · j = 20i^2 + (4i · j - 5i · j) - j^2 = 20 + (-i · j) - 1 = 19 - i · j

Next, we can find the dot product of U and W:

U · W = (4i - j) · (i + 6j) = 4i · i + 4i · 6j - j · i - j · 6j = 4i^2 + (4i · 6j - j · i) - 6j^2 = 4 + (24i · j) - 6 = -2 + 24i · j

Now we can substitute these values into the original expression:

U·V + U·W = (19 - i·j) + (-2 + 24i·j) = 17 + 23i·j

Therefore, the specified scalar is 17 + 23i·j.

\(|a+bi|=\sqrt{a^2+b^2}\)

\(|6-8i|=\sqrt{6^2+(-8)^2}=\sqrt{36+64}=\sqrt{100}=10\)

Answer:

$85.60

Step-by-step explanation:

In this question, we need to find the price of the calculator after tax.

We know the cost of the calculator is $80 and the sales tax is 7%

To find your answer, we would multiply 80 by 1.07:

80 · 1.07 = 85.60

The total cost of the calculator is $85.60

The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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Answer:

I think X = 35 but I'm not sure if it's not right let me know

Answer:

23/28   (82.1%)

Step-by-step explanation:

See attached Venn Diagram

23 out of 28  play basketball or baseball

Answer:

B; There is only one (x,y) solution and y is negative

Step-by-step explanation:

First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.

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If the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.

The first quartile (Q1) of the ages of the 256 employees of CCNHS – Main Campus being 39 years old implies that 25% of the employees have an age equal to or less than 39 years old.

In statistical terms, the first quartile represents the point below which 25% of the data falls. It divides the data set into four equal parts, with each part containing 25% of the data. Therefore, if the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.

This information provides insight into the age distribution of the employees at the institution. It indicates that a significant portion of the employees are relatively young, with a quarter of them falling below the age of 39. Understanding the age demographics of the workforce can be useful for various purposes, such as planning professional development programs or implementing age-specific policies.

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Edouard Manet's Luncheon on the Grass was shown in the Salon des Refuses after it was rejected for the annual salon.

Option D is the correct answer.

We have,

Edouard Manet's painting "Luncheon on the Grass" was first rejected by the Paris Salon in 1863, as it was considered scandalous due to the nudity of the female figure in the painting.

In response to this rejection,

Emperor Napoleon III ordered an exhibition to be held for all the rejected paintings, which was known as the Salon des Refusés (Salon of the Refused).

Thus,

Edouard Manet's Luncheon on the Grass was shown in the Salon des Refuses after it was rejected for the annual salon.

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No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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Answer:

b

c

e

Step-by-step explanation:

you have to simplify the equation

Answer:

  $50,000

Step-by-step explanation:

The given relations can be used to write and solve an equation for the amount invested in stocks.

Let s represent the amount invested in stocks. Then (120,000-s) is the amount invested in bonds. The total earnings by the two investments were ...

  0.18s +0.12(120,000 -s) = 17,400

Simplifying the equation, we have ...

  0.06s +14,400 = 17,400

  0.06s = 3000 . . . . . . . . . . subtract 14,400

  s = 50,000 . . . . . . . . . . . . divide by 0.06

Neal invested $50,000 in stocks.

__

Additional comment

The amount invested in bonds was 70,000. The profit earned was ...

  0.18(50,000) +0.12(70,000) = 9,000 +8,400 = 17,400