Which number is a perfect cube?
O 25
O 36
O 125
O 300

Answer:

sin = -√2 / 2

cos = √2 / 2

tan = -1

Step-by-step explanation:

Θ is in quad IV

sin = -√2 / 2

cos = √2 / 2

tan = -1

It may be 1^4 ............................

Answer: x =3; y = -2

\(\left \{ {{5x+6y=3} \atop {2x-3y=12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {2x-3y=12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {2.\frac{3-6y}{5}-3y =12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {6-12y-15y=12.5}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {17y=6-60=-54}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {y=-54/27}} \right.\\\\\\ <=>\left \{ {{x=\frac{3-6y}{5} } \atop {y=-2}} \right.\\\\<=>\left \{ {{x=3} \atop {y=-2}} \right.\)

Step-by-step explanation:

Answer:

x = 3, y = -2.

Step-by-step explanation:

5x + 6y = 3

2x - 3y = 12           Multiply this by 2:

4x - 6y = 24           Now add this to the first equation:

9x = 27

x = 3.

Substitute x = 3 in the second equation:

2(3) - 3y = 12

-3y = 12 - 6 = 6

y = 6 / -3

y = -2.

The interest for Part 1 is approximately $385.10.

The interest for Part 2 is approximately $709.31.

The formula is as follows:

Interest is calculated as follows: Principal * Rate * Time

Where

Part 1:

$132,000 is the principal.

(Decimal) Rate = 12% = 0.12

Time = 8 days/365 days.

How much interest is there in Part 1?

Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10

Therefore, the interest for Part 1 is approximately $385.10.

Part 2:

$106,750 as the principal

(Decimal) Rate = 12% = 0.12

Time = 20 days / 365 days.

How much interest will there be in Part 2

Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31

Therefore, the interest for Part 2 is approximately $709.31.

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Answer:

Inequality form: x > -5

Step-by-step explanation:

Simplify: 3x + 24 > 9

Divide: x + 8 / 2 > 3 / 2

Multiply: x + 8 > 3 / 2 * (2)

Cancel: x + 8 > 3

Answer: x > -5

Hope this helps! :)

Answer:

collect like terms

4x+10-10=32-10

4x=12

4\4x=12/4

x=3

The angle of rotation for the described transformation is

The movement or transformation described is form quadrant 4 to quadrant  2.

The transformation will require 180 degrees transformation.

In this type of transformation, both clockwise and the counter clockwise have similar effects

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Answer:

Speed =distance divide by time

=200 kilometres divide by 5

=40km/h

Distance =speed multiple by time

=40 multiple by 7 hours

=280km

Answer:

x = 9

Step-by-step explanation:

     \(\sf (leg_1)^2 + (leg_2)^2 = hypotenuse^2\)

                \(x^{2} + 12^2 = 15^2\\\\x^{2} + 144 = 225\)

                          x²  = 225 - 144

                          x²  = 81

                          x² = 9²

                         x = 9

                          \(\boxed{x = 9}\)

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:

2x² - x - 10 = 0

This equation can be factored as:

(2x + 5)(x - 2) = 0

Setting each factor equal to zero, we get:

2x + 5 = 0 => 2x = -5 => x = -5/2

x - 2 = 0 => x = 2

Therefore, the x-intercepts of the graph of f(x) are x = -5/2 and x = 2.

Part B: The vertex of the graph of f(x) can be determined using the formula x = -b/2a, where a and b are the coefficients of the quadratic equation in standard form (ax² + bx + c = 0).

In this case, a = 2 and b = -1. Plugging these values into the formula, we have:

x = -(-1) / (2 * 2) = 1/4

To determine if the vertex is a maximum or a minimum, we can examine the coefficient of the x² term. Since the coefficient a is positive (a = 2), the parabola opens upwards, and the vertex represents a minimum point

Therefore, the vertex of the graph of f(x) is (1/4, f(1/4)), where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).

Part C: To graph f(x), we can follow these steps:

Plot the x-intercepts: Plot the points (-5/2, 0) and (2, 0) on the x-axis.

Plot the vertex: Plot the point (1/4, f(1/4)) as the vertex, where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).

Determine the direction of the graph: Since the coefficient of the x² term is positive, the graph opens upwards from the vertex.

Determine additional points: Choose a few x-values on either side of the vertex and calculate their corresponding y-values by substituting them into the equation f(x). Plot these points on the graph.

Draw the graph: Connect the plotted points smoothly, following the shape of the parabola. Ensure the graph is symmetrical with respect to the vertex.

The answers obtained in Part A (x-intercepts) and Part B (vertex) provide crucial points to plot on the graph, helping us determine the shape and position of the parabola.

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The x-intercepts from the graph attached are

The vertex  from the graph attached is

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:

2x² - x - 10 = 0

x = (-b ± √(b² - 4ac)) / (2a)

a = 2, b = -1, c = -10

Plugging these values into the quadratic formula:

x = (-(-1) ± √((-1)² - 4 * 2 * (-10))) / (2 * 2)

x = (1 ± √(1 + 80)) / 4

x = (1 ± √81) / 4

x = (1 ± 9) / 4

x₁ = (1 + 9) / 4 = 10 / 4 = 2.5

x₂ = (1 - 9) / 4 = -8 / 4 = -2

Therefore, the x-intercepts of the graph of f(x) are 2.5 and -2.

Part B

To find the coordinates of the vertex, we can use the formula:

x = -b / (2a)

x = -(-1) / (2 * 2) = 1 / 4 = 0.25

we substitute this value back into the original function:

f(0.25) = 2(0.25)² - 0.25 - 10

f(0.25) = 0.125 - 0.25 - 10

f(0.25) = -10.125

Therefore, the vertex of the graph of f(x) is located at (0.25, -9.125).

Part C: The steps to graph f(x) include:

Plotting the x-intercepts: Based on the results from Part A, we know that the x-intercepts are 2.5 and -2. We mark these points on the x-axis.

Plotting the vertex: Using the coordinates from Part B, we plot the vertex at (0.25, -9.125). This represents the minimum point of the graph.

Drawing the shape of the graph: Since the coefficient of the x² term is positive, the graph opens upward. From the vertex, the graph will curve upward on both sides.

Additional points and smooth curve: To further sketch the graph, we can choose additional x-values and calculate their corresponding y-values using the equation f(x) = 2x² - x - 10. Plotting these points and connecting them smoothly will give us the shape of the graph.

By using the x-intercepts and vertex obtained in Part A and Part B, we have the necessary information to draw the graph accurately and show the key features of the quadratic function f(x)

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The number of significant digits that the product have is 3.

Significant figures are the number of digits that add to the correctness of a value, frequently a measurement. The first non-zero digit is where we start counting significant figures.

Rules for determining Significant Numbers,

Given Numbers are  \(5.2187 * 10^{-3}, 2.05 *10^{7} and 3.40 * 10^{3}\)

Now, Multiplying the given numbers,

\(5.2187 * 10^{-3}* 2.05 *10^{7} * 3.40 * 10^{3} =3.64 *10^{8}\)

So, In 3.64 *10^8, The number of significant digits is 3.

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Answer:

answer is 3

Step-by-step explanation:

Answer:

Vertical stretch and reflection across the x axis

Step-by-step explanation:

Vertical stretch and reflection across the x-axis are the odd functions.

Vertical stretch occurs when a base graph is multiplied by a certain factor that is greater than 1. This results in the graph being pulled outward but retaining the input values (or x). When a function is vertically stretched, we expect its graph's y values to be farther from the x-axis.

Another transformation that can be applied to a function is a reflection over the x– or y-axis. A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection reflects a graph horizontally across the y-axis.

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Its CDF shows the probability of each value of X. is correct.

Probability is the measure of the likelihood that an event will occur. It is the ratio of the number of outcomes favorable to the event divided by the total number of possible outcomes. Probability is expressed as a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain to occur.

The binomial distribution is a probability distribution that shows the probability of a success or failure outcome in an experiment that is repeated multiple times. Its PDF (probability density function) shows the probability of each possible value of X, and its CDF (cumulative density function) shows the probability of each value of X and all values of X less than it.

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Answer:

  $121

Step-by-step explanation:

A suitable calculator or spreadsheet can tell you the payment amount for the given loan values. The annual interest rate will be 12 times the monthly, rate, or 2.4%. The number of monthly payments in 12 years is 12×12 = 144.

__

A calculator shows the monthly payment will be about $121.

__

If you want to figure this "by hand," the amortization formula is used.

  A = Pr/(1 -(1+r)^-t)

where P is the loan amount, r is the monthly interest rate, and t is the number of months.

  A = 15100(0.002)/(1 -(1.002^-144)) ≈ 120.789 ≈ 121

The monthly payment would be $121.

Answer:

157.5.

Step-by-step explanation:

If the 6-inch pizza has 630 calories, the 12-inch pizza has double.

6 x 2 = 12.

Therefore, the 12-inch pizza has 1,260.

630 x 2 = 1,260.

There are 8 slices in a pizza, making the answer 1,260 / 8.

1,260 / 8 = 157.5

An estimation could be 150 if you round 630 to 600.

Hope this helps!

The number of calories in one slice of a 12-inch pizza would be 157.5.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

We have been given that the 6-inch pizza has 630 calories,

Therefore, the 12-inch pizza has double i.e. 1,260 calories.

To determine the number of calories in one slice of a 12-inch pizza.

We have to apply the division operation in 1,260 between 8,

⇒ 1,260 / 8.

⇒  157.5

If we round 630 to 600, an estimate would be 150.

Hence, the number of calories in one slice of a 12-inch pizza would be 157.5.

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Answer:

\(\large\sf{average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}\)

Step-by-step explanation:

Given the American customer satisfaction index scores that increased from 61 in 2002, to 71 in 2014:

In order to solve for the average rate of change, we could simply use the average rate of change formula:

Average rate of change = Change in output/Change in input

\(\huge\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}}\)

Let (x₁, y₁) = (61, 2002)

    (x₂, y₂) = (71, 2014)

Substitute these values into the average rate of change formula:

\(\BIGG\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}\:=\frac{2014\:-\:2002}{71\:-\:61}\:=\:\frac{12}{10}\:=\:\frac{6}{5}}\)

\(\large\bf\sf{Therefore,\:the\:average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}\).

Answer:

what change in the chart That want to what's the overall change in the consumptions. if you don't kno what consumptions is look it up

Answer:

5x+15+2x=24+4x

Step-by-step explanation:

I hope this helps

The inequality that represents the value of x is (b)  x > 80

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

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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Answer:

125 p^3 g^3

Step-by-step explanation:

(5pg)^3

We know that (ab)^c = a^c * b^c

5^3 p^3 g^3

125 p^3 g^3

Answer:

Step-by-step expla$6000nation:

Answer:

55 mph

Step-by-step explanation:

divide the miles by hours

Answer:

-18$

Step-by-step explanation:

Pepe will have a loan of 18$ since they don't have 20 dollars but Billy took it away

peep have 18dollars.

20-2

=18

A square and a traingle are present in a large rectangle with given dimensions in the figure.

\(\qquad\displaystyle \tt \dashrightarrow \: 12 \times 8\)

\(\qquad\displaystyle \tt \dashrightarrow \: 96 \: \: unit {}^{2} \)

\(\qquad\displaystyle \tt \dashrightarrow \: 4 \times 4\)

\(\qquad\displaystyle \tt \dashrightarrow \: 16 \: \: unit {}^{2} \)

\(\qquad\displaystyle \tt \dashrightarrow \: \frac{1}{2} \times 4 \times 5\)

\(\qquad\displaystyle \tt \dashrightarrow \: \frac{1}{2} \times 4 \times 5\)

\(\qquad\displaystyle \tt \dashrightarrow \: 2 \times 5\)

\(\qquad\displaystyle \tt \dashrightarrow \: 10 \: \: unit {}^{2} \)

[ area of square / total area ]

\(\qquad\displaystyle \tt \dashrightarrow \: p(inside \: \: the \: \: square) = \frac{16}{96} \)

\(\qquad\displaystyle \tt \dashrightarrow \: p(inside \: \: the \: \: square) = \frac{1}{6} \)

[ total area except area of triangle / total area ]

\(\qquad\displaystyle \tt \dashrightarrow \: p(outside \: the \: triangle) = \frac{96 - 10}{96} \)

\(\qquad\displaystyle \tt \dashrightarrow \: p(outside \: the \: triangle) = \frac{86 }{96} \)

\(\qquad\displaystyle \tt \dashrightarrow \: p(outside \: the \: triangle) = \frac{43}{48} \)