Rewrite 1/5 barrel 1/2hour as a unit rate

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

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Answer:

the answer is A

Step-by-step explanation:

ignore this part

CLICK ON THE POIN AND SCHROOL DOWN

Answer:

By asking the question.

The property tax is the rates are proportional in the city is $16320.

A % is a number or ratio stated as a fraction of 100 in mathematics (from the Latin per centum, "by a hundred"). The abbreviation "pct.", "pct.", and occasionally "pc" are also used to indicate it, but the percent sign, "%," is more frequently employed. There is no unit of measurement for a %; it is a dimensionless number (pure number).

Given that, tax on a property assessed at $550,000 is $9,350.

R = 9350/550000

R = 0.017 (100%)

R = 1.7%

The tax on $960000 is:

T = (960000)(0.017)

T = 16320

Hence, the property tax is the rates are proportional in the city is $16320.

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The equation is 50 = (5 + w)w and the width is 5 and the length is 10

The given parameters are

Area = 50

Length = 5 + Width

This means that

l = 5 + w

The area is calculated as

A = lw

Substitute l = 5 + w in A = lw

A = (5 + w)w

Substitute A = 50 in A = (5 + w)w

50 = (5 + w)w

Hence, the equation is 50 = (5 + w)w

We have

50 = (5 + w)w

Express 50 as 10 * 5

So, we have

10 * 5 = (5 + w)w

This means that

5 + w = 10

w = 5

Solve 5 + w = 10

w = 5

Substitute w = 5 in l = 5 + w

l = 5 + 5

l = 10

Hence, the width is 5 and the length is 10

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The solutions to the system of equations are x = 2 and 4

From the question, we have the following parameters that can be used in our computation:

f(x) = x - 3

g(x) = 1/(x - 3)

The solution to the system of equations implies that

f(x) = g(x)

So, we have

x - 3 = 1/(x - 3)

Cross multiply the equation

This gives

(x - 3)² = 1

So, we have

x - 3 = ±1

Add 3 to both sides

x = 3 ± 1

So, we have

x = 2 and 4

Hence, the solutions to the system of equations are x = 2 and 4

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if x = 2 we get the answer - 8084, and x = (-5) is 20735. A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.

Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."

x = 2

12² + 5(2) - 4122 (2) + 6 = -8084

12² + 5(2) - 4122 (2) + 6

Calculate exponents  12² :144

= 144 + 5(2) - 4122 (2) + 6

Multiply and divide (left to right) 5(2) : 10

= 144 + 10 - 4122 (2) + 6

= 144 + 10 - 8244 + 6

= - 8084

x = -5

12² + 5 (-5) - 4122 (-5) + 6 = 20735

12² + 5 (-5) - 4122 (-5) + 6

12² = 144

Simplifying,

5 (-5) = -25

4122 (-5) = -20610

= 144 - 25 - (-20610) + 6

Then we get,

= -25 - (-20610) = -25 + 20610

= 144 - 25 + 20610 + 6

= 20735

Therefore, if x = 2 we get the answer - 8084, and x = (-5) is 20735

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Answer:

donkeey kongy

Step-by-step explanation:

Answer:

36 pieces

Step-by-step explanation:

4 1/8 ft x 4 1/8 ft = 49.5 in x 49.5 in = 2450.25 in^2

8.25 in x 8.25 in = 68.06 in^2

2450.25/68.06 = 36 pieces

checking for scrap loss:

49.5/8.25 = 6

so no scrap loss

The class of the equation and the cross section equation are;

The equation is a hyperboloid of two sheets

The cross sections are;

Equation at z = 0 is; y²/8 - x²/8 = 1

Equation at y = -4 is; x²/8 + z² = 1

Equation at y = 0 is; x²/8 + z² = -1

Equation at y = 4 is; x²/8 + z² = 1

Equation at x = 0 is; y²/8 - z² = 1

An equation is a mathematical statement which indicates the equivalence two expressions by joining them with the '=' sign.

The equation can be presented as follows;

y² = x² + 8·z² + 8

y² - x² - 8·z² = 8

y²/8 - x²/8 - z² = 1

The above equation is the equation of an hyperboloid of two sheets, where;

a² = 8, b² = 1, and c² = 8

Please find attached the diagram of the surface, created with an online 3D graphing tool.

The equation for the cross section at z = 0, can be obtained by plugging in z = 0, into the equation as follows;

y²/8 - x²/8 - 0 = 1

y²/8 - x²/8 = 1

The above equation is the equation of an hyperbola in the xy plane

The equation for the cross section at y = -4, can be obtained by plugging in y = -4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 4²/8 = -1

- x²/8 - z² = -1

x²/8 + z² = 1

The above is an equation of an ellipse in the xz plane

The equation for the cross section at y = 0, can be obtained by plugging in y = 0, into the equation as follows;

0²/8 - x²/8 - z² = 1

- x²/8 - z² = 1

Therefore; x²/8 + z² = -1

The equation for the cross section at y = 4, can be obtained by plugging in y = 4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 2 = -1

x²/8 + z² = 1

The above equation is the equation of an ellipse in the xz plane

The equation for the cross section at x = 0, can be obtained by plugging in x = 0, into the equation as follows;

y²/8 - 0²/8 - z² = 1

y²/8 - z² = 1

The equation is the equation of an hyperbola in the yz plane

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If water flows into the container at a constant rate of 6 cubic feet per minute, the rate at which the water level rising when the height of the water is 5 feet is; 0.688 ft/min

When we are given an equation that gives the relationship between two or more variables, then by differentiating the equation with respect to time would give us a new equation that involves the rate of change of each of the given variables.

We are given the dimensions of the tank as;

Radius; r = 4 feet

Height; h = 12 feet.

The water in the tank will also have a conical shape.

By similar triangles, we know that;

r/h = 4/12

r = h/3

Now the volume of the water is;

V = ¹/₃πr²h

Put h/3 for r in this volume equation to get;

V = ¹/₃π(h/3)²h

V = (1/27)πh³

Differentiating with respect to time gives;

dV/dt = (3/27)πh²(dh/dt)

We are given;

dV/dt = 6 cubic feet per minute

h = 5

Thus;

6 = (3/27)π(5²)(dh/dt)

dh/dt = 0.688 ft/min

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Using multipliers, the expression is given by:

\(y = 0.9875x\)

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

The decimal multiplier for a decrease of x% is given by:

\(M = \frac{100 - b}{100}\)

In this problem, decrease of 1.25%, thus:

\(M = \frac{100 - 1.25}{100} = \frac{98.75}{100} = 0.9875\)

Alex's net proceeds is then of 98.75% = 0.9875 of y, removing the broker proceedings, thus, the expression is:

\(y = 0.9875x\)

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Answer: Themba needs a total of 7.5  cups of yogurt to make 5 bowls of fruit dip, so 0.75 cup(s) will be needed

Step-by-step explanation:

your welcome.

The probability that the third largest observation in the sample is less than 0.7 is  0.2401 =  24.01%.

The sample size n = 5,

Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.

Probability that X₃ is less than 0.7:

Since X₃ is the third largest observation =  (X₁ and X₂) < 0.7.

The probability that X₃ is less than 0.7 is (0.7)² = 0.49.

.

The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.

We then get the product of both cases:

Probability = 0.49 * 0.49 = 0.2401

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The vertices of triangle image are L'(1, -4), M'(6, 4) and N'(7, -2).

Given that, triangle LMIN with vertices L(2, -8), M(12, 8) and N(14,-4).

Here, scale factor k=1/2

Now, by applying scale factor to the vertices, we get

L(2, -8)→1/2 (2, -8)→L'(1, -4)

M(12, 8)→1/2 (12, 8)→M'(6, 4)

N(14,-4)→1/2 (14, -4)→N'(7, -2)

Therefore, the vertices of triangle image are L'(1, -4), M'(6, 4) and N'(7, -2).

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"Your question is incomplete, probably the complete question/missing part is:"

Triangle LMIN with vertices L(2, -8), M(12, 8), and N(14,-4): k = ½.

From the graph, it is seen that one line passes through the point (5,5).

(5,5) satisfies the equation -2x+y=-5

The another line passes through the points (1.5,0) and (0,6).

If we consider the line -x+y=6, it passes through the point (0,6), but doesn't pass through (1.5,0).

But the line 4x+y=6 passes through the points (1.5,0) and (0,6).

Hence, the equatiosn of the line sare

4x+y=6

-2x+y=-5

Hence, the correct option is (C)

Answer:

30

Step-by-step explanation:

\(\frac{2}{5}=\frac{12}{e}\)

\(\frac{2}{5}e=12\)

\(e=12*\frac{5}{2}=5*6=30\)

Answer:

230,000

Step-by-step explanation:

You have round in the ten thousands space which is the 3, knowing that the next number is 8 and it is greater than 5 the 3 will round up to a 4

It would take 370 days to build the wall with the given conditions.

If 60 men can build a wall in 40 days, then the total man-days required to build the wall is:

60 men x 40 days = 2400 man-days

However, 55 men quit every ten days, which means that after 10 days, there are only 60 - 55 = 5 men left to work on the wall. After 20 days, there are only 5 - 55 = -50 men left, which means that the remaining 5 men cannot work any faster than they were already working. Therefore, we can assume that the remaining 5 men complete the wall on their own.

The number of man-days required for the first 10 days is:

60 men x 10 days = 600 man-days

The number of man-days required for the second 10 days is:

5 men x 10 days = 50 man-days

The total number of man-days required for the first 20 days is:

600 man-days + 50 man-days = 650 man-days

The remaining work can be completed by the 5 men in:

2400 man-days - 650 man-days = 1750 man-days

Therefore, the total time needed to build the wall is:

20 days + 1750 man-days / 5 men = 20 + 350 days = 370 days

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Answer:

Serena had $32 at the end.

Step-by-step explanation:

They both had x in the beginning.

Bryan donated $258, so now he has

x - 258

Serena donated $234, so now she has

x - 234

Serena now has 4 times as much money as Bryan.

x - 234 = 4(x - 258)

x - 234 = 4x - 1032

-3x = -798

x = 266

They both had $266.

$266 - $234 = $32

Answer: Serena had $32 at the end.

Using Scale Factor, the value of x = 33.6.

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

Scale factor = Dimension of the new shape / Dimension of the original shape is the fundamental formula used to calculate it.

The formula is expressed as Scale factor = Larger figure dimensions Smaller figure dimensions in the event that the original figure is enlarged.

Dimension of the large triangle divided by the little triangle is the formula to utilize.

Based on the accompanying figure,

The little triangle's corresponding side length is 28, whereas the giant triangle's side length is x.

Scale factor = 6/5 Scale factor = 6/5 = 28

x = 33.6

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Complete Question -

If the figures below are similar with a scale factor of 6:5, find the value of x

The equation for the line of best fit is: C. y = 0.894x + 0.535.

In order to determine the equation for the line of best fit, we would create a table of values based on the given x-values and y-values as follows;

x          y            x²        y²          xy__

5          4          25        16       20

6          6           36       36       36

9          9           81        81        81

10         11          100       121       110

14          12        196       144      168  

Sum                  438       398     415

Next, we would calculate the mean of the x and y variables as follows;

Mean = [∑(x)]/n

Mean = 44/5

Mean, \(\bar{x}\) = 8.8

Mean = [∑(y)]/n

Mean = 42/5

Mean, \(\bar{y}\) = 8.4

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) = (5-8.8)(4-8.4) + (6-8.8)(6-8.4)+(9-8.8)(9-8.4)+(10-8.8)(11-8.4)+(14-8.8)(12-8.4)

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) =45.4

∑(x - \(\bar{x}\))² = (5-8.8)²+(6-8.8)²+(9-8.8)²+(10-8.8)²+(14-8.8)²

∑(x - \(\bar{x}\))² = 50.8

Now, we can determine the slope coefficient for the line of best fit:

Slope (b) = 45.4/50.8

Slope (b) = 0.894.

Lastly, we would determine the intercept (a) as follows;

\(a = \bar{y} - b\bar{x}\)

a = 8.4 - (0.894)8.8

a = 0.535

Therefore, the required equation is y = 0.894x + 0.535.

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Answer: 21

Step-by-step explanation: 21 divided by 7 is three to the third power of 11 so your answer is 21, I think

Among the mean, mode, and median, the unique one is the b. mode.

The mode is the data value that occurs many times more than other data values.

Unlike the mean that shows the average value of all the data values, the mode occurs more.  While we compute the mean by dividing the total data value by the number of data items, the mode is not computed but found as the most frequent data value.

Similarly, the median can be computed when two values occur as the middle values.

Thus, among the three measures of central tendency, the mean, the median, and the mode, the mode is the most unique since it is not computed.

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Answer:

19. 7

20. 11

21. -12

22. 15

23. 77

24. −6

Step-by-step explanation:

Simply plug the values of a, b and c into each equation and evaluate using a calculator or manually

Answer:

20% of 30 < 30% of 40

Step-by-step explanation:

Find 20% of 30

20/100 = x/30

Cross multiply

20 × 30 = 100 × x

600 = 100x

Divide both sides by 100

6 = x

Find 30% of 40

30/100 = x/40

Cross multiply

30 × 40 = 100 × x

1200 = 100x

Divide both sides by 100

12 = x

Compare the two answers:

6 and 12

6 < 12

Answer:

B is the answer.

Step-by-step explanation:

When finding (fog)(x), it means, we input g(x) as x-value for f(x).

Now, given this function, we will now substitute the value of x, which is 10.

Therefore, the answer is A. 37.

Answer:

Ryan you can run 189 feet per second that is your answer is a Natok

Answer:

You find 19 nickels.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of nickels.

y is the number of dimes.

z is the number of quarters.

66 coins

This means that x + y + z = 66.

With a face value of $11.55.

Nickel is worth $0.05, dime worth $0.1 and quarter worth $0.25. So

0.05x + 0.1y + 0.25z = 11.55.

A coin dealer offers you $10 for each nickel, $20 for each dime, and $15 for each quarter, for a total of $945.

This means that 10x + 20y + 15z = 945.

How many nickels did you find?

We have to find x.

From the first equation:

z = 66 - x - y

Replacing in the second:

0.05x + 0.1y + 0.25z = 11.55.

0.05x + 0.1y + 0.25(66 - x - y) = 11.55

0.05x + 0.1y + 16.5 - 0.25x - 0.25y = 11.55

0.2x + 0.15y = 4.95

So

0.15y = 4.95 - 0.2x

y = 33 - 1.33x

On the final equation:

10x + 20y + 15z = 945

10x + 20(33 - 1.33x) + 15(66 - x - (33 - 1.33x)) = 945

10x + 660 - 26.6x + 15(66 - x - 33 + 1.33x) = 945

-16x + 660 + 15(33 + 0.33x) = 945

-16x + 660 + 495 + 5x = 945

11x = 210

x = 210/11

x = 19

You find 19 nickels.