The students in Nora's class chose between two options for an assignment. 5/8 of the students chose option 1. If there are 32 students in Nora's class, how many chose option 1?
A. 28

B. 24

C. 20

D. 15

Answer:

1/7

Step-by-step explanation:

6 + 5 + 4 = 15

There are 15 marbles to start with.

p(event) = (number of desired outcomes)/(total number of outcomes)

First pick (there are 6 desired outcomes out of a total of 15 possible outcomes):

p(r) = 6/15

Now there are 5 red marbles left and a total of 14 marbles left.

Second pick (there are 5 desired outcomes out of a total of 14 possible outcomes):

p(r) = 5/14

These events are independent, so we multiply the two probabilities.

p(r, r) = 6/15 × 5/14

p(r, r) = 3/7 × 1/3

p(r, r) = 1/7

Answer:

Four (4) terms.

Step-by-step explanation:

36x³ + 27x² - \(18x^{1}\) - \(9x^{0}\)

The gives four terms.

Answer:

i dont see a diagram ?

Step-by-step explanation:

Answer:

AC is greater than BC because segment AC is the hypotenuse of right triangle ABC, and the hypotenuse is the longest side of a right triangle.

Answer:

do u mean 4x²........i need to make sure it

Answer:

4 1/2

33/56

Step-by-step explanation:

1/4 multiplied by 1/2

1/2 multiplied by 5/16

The area of logo 1 is  24 ft² and logo 2 is 16.28  ft².

                                = \(\frac{5}{32}\) + \(\frac{\pi }{32}\)

                                 =  0.2544 inch²

Thus, the area of logo 1 is  24 ft² and logo 2 is 16.28  ft².

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In symmetric multiprocessor (SMP) scheduling using private queues, the specific type of action performed when the scheduler running on a processor seeks to change its workload because it has no tasks to run is called a "pull migration."

In pull-migration, the scheduler on a processor actively requests or "pulls" a task from another processor's queue when its local queue is empty or low on tasks. This allows the scheduler to obtain a new workload from a different processor within the SMP system.

The "Pull-Migration" enables dynamic load balancing in SMP systems by allowing processors to actively request tasks from each other when their local queues are depleted. This approach helps ensure that workloads are distributed evenly among processors, minimizing idle time and maximizing resource utilization across the system.

By utilizing pull-migration, SMP schedulers can effectively manage task distribution and adapt to changing workloads, resulting in improved performance and efficient utilization of resources within the SMP system.

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Step-by-step explanation:

-2 1/3 -(-5) can be simplified as follows:

-2 1/3 + 5

= -7/3 + 15/3 (converting mixed numbers to improper fractions)

= 8/3

Therefore, the solution is 8/3, which can also be expressed as 2 2/3.

So, the answer is (B) 2 2/3.

The circumference of the circles are 25.12 cm and 29.516 in

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

(a) D = 8 cm and (b) R = 4.7 inches

Given the diameter, the circumference is

C = πD

So, we have

C = 3.14 * 8 cm = 25.12 cm

Given the radius, the circumference is

C = 2πR

So, we have

C = 2 * 3.14 * 4.7 in = 29.516 in

Hence, the circumference is 29.516 in

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Complete question

What is the circumference of the circle given its diameter (D) of its radius (R)

(a) D = 8 cm and (b) R = 4.7 inches

A decimal number system uses a base of 10, and it includes 10 numerals: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Binary system uses a base of 2 and has only two numerals: 0 and 1.

The octal system has a base of 8, and it includes eight numerals: 0, 1, 2, 3, 4, 5, 6, and 7.

Finally, the hexadecimal system has a base of 16, and it includes sixteen numerals: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F. Each hexadecimal digit corresponds to four binary digits (bits).To convert a decimal number to hexadecimal, we use the division-remainder method.

This method involves the division of the decimal number by 16 and writing the remainder as a hexadecimal digit. If the quotient is less than 16, it is written as a hexadecimal digit.

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Answer:

.95 meters

or 95cm

Step-by-step explanation:

Divide 4.75 by 5 to find the length of each equal piece.

4.75 ÷ 5 = .95

This is .95meters.

Use long division if you are not allowed to use a calculator.

 _.95__

5 ) 4.75

 - 45

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

 25

 - 25

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

 0

.95 meters is 95cm

Answer:

7x+35/2

Step-by-step explanation:

The area of a trapezoid is \(\frac{(b_1+b_2)}{2}\cdot h\), where b1 and b2 are the two bases and h is the height. Because b2 is 5 more than b1, which we will represent as x, we have the two bases as x and x + 5 respectively. Plugging into the equation, we have \(\frac{2x+5}{2}\cdot 7\) .We have this as (x+5/2)(7), which is 7x+35/2

Answer:

1rst one is 3:2 the second one is 1:2 and third is 1:12 if i remember

Step-by-step explanation:

The total number of teams at the soccer tournament was 24.

The information about the number of teams and the shirts they wore at the soccer tournament.

To summarize:

12 teams wore red shirts

6 teams wore blue shirts

4 teams wore orange shirts

2 teams wore white shirts

To find the total number of teams,  add up the number of teams for each shirt color:

Total Teams = 12 (Red) + 6 (Blue) + 4 (Orange) + 2 (White) = 24 teams

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Let length, l=8 mm.

Braedth, b=2 mm.

The perimeter of the rectangle is,

Therefore, the perimeter of the rectangle is 20 mm^2.

Researchers conducted a study and obtained  the p-value is 0.30, which is higher than the common significance level of 0.05. This means that there is not enough evidence to reject the null hypothesis, but it does not mean that the null hypothesis is accepted.

Hence this statement is false.

When researchers conduct a study and obtain a p-value, they use it to make a decision regarding the null hypothesis.

However, a high p-value does not provide evidence to accept the null hypothesis.

Instead, it indicates that there is not enough evidence to reject the null hypothesis.
1. Researchers start with a null hypothesis (H0), which is a statement that there is no effect or relationship between variables being studied.

They also have an alternative hypothesis (H1), which is a statement that there is an effect or relationship between variables.
2. They collect data and perform statistical tests to calculate the p-value, which represents the probability of observing the test results (or more extreme results) assuming the null hypothesis is true.
3. The p-value is then compared to a pre-determined significance level (alpha), commonly set at 0.05 or 5%.

If the p-value is less than the significance level, researchers reject the null hypothesis in favor of the alternative hypothesis.
4. In this case, the p-value is 0.30, which is higher than the common significance level of 0.05.

This means that there is not enough evidence to reject the null hypothesis, but it does not mean that the null hypothesis is accepted.
5. Instead, researchers should say that they "fail to reject" the null hypothesis, meaning they cannot confidently conclude that the alternative hypothesis is true based on the data and analysis.

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A measurable part of a line that consists of two points, called endpoints, and all of the points between them are called Line sigments.

Geometry is a branch of mathematics that deals with how objects can be expressed as relationships of points, lines, planes, surfaces, and dimensions. When we draw lines in geometry, we use an arrow at each end to show that it expands infinitely. A line is a path between two points that can be measured. Since line segments have a defined length, they can form the sides of any polygon. The figure below shows the line AB, where the length of the line AB is related to the distance between its endpoints, A and B. The symbol for the line is named after its two endpoints, e.g.

\( \bar{AB}\)

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Answer:

4

Step-by-step explanation:

Add the 2 and the other 2 to get 4.if you gave 2 apples and your friend has 2 apples when you combine them then count them it will give you 4

Answer:

The y-intercept would be -3

Step-by-step explanation:

already learn that

The correct choice is: (A) 7e^y for determining the curl of the vector function V(x, y, z). V(x, y, z) = 3x²i + 7e'yj.

To determine the curl of the vector function V(x, y, z) = 3x²i + 7e^(y)j, we can apply the curl formula:

curl(V) = (∂V_z/∂y - ∂V_y/∂z)i + (∂V_x/∂z - ∂V_z/∂x)j + (∂V_y/∂x - ∂V_x/∂y)k.

Let's calculate the partial derivatives:

∂V_x/∂y = 0,

∂V_x/∂z = 0,

∂V_y/∂x = 0,

∂V_y/∂z = 0,

∂V_z/∂x = 0,

∂V_z/∂y = 7e^y.

Substituting these partial derivatives into the curl formula, we have:

= (7e^y - 0)i + (0 - 0)j + (0 - 0)k

= 7e^y i.

Therefore, the curl of the vector function V(x, y, z) = 3x²i + 7e^yj is curl(V)

= 7e^y i.

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The largest interval on which the solution is defined is (-∞, -1) ∪ (-1, ∞). The interval notation for the largest interval is (-∞, -1) U (-1, ∞).

An initial-value problem is a type of boundary-value problem in mathematics, particularly in the field of differential equations.

The given initial-value problem is a separable differential equation, which can be written as:

dy/dt = -2(t + 1)y²

Integrating both sides, we get:

(1/y) = t² + 2t  + C

where C is the constant of integration.

Since we have an initial condition, we can use it to find the value of C:

y(0) = -1/15
C = -1/15

Solving for C, we get:

C = -1/15

So, the solution to the differential equation is:

(1/y) = t² + 2t -1/15

y = 1 / (t² + 2t -1/15)

The solution is defined for all t ≠ -1, since y = 0 is not defined. So, the largest interval on which the solution is defined is (-∞, -1) ∪ (-1, ∞). The interval notation for the largest interval is (-∞, -1) U (-1, ∞).

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The derivatives of the given functions are:

z'(x) = (6x - 2)(2x - 7)^4 + 8(3x^2 - 2x)(2x - 7)^3

f'(x) = 18(6x - 1)^2 - 15(6x - 1)^3(5x + 3)^2

f'(x) = -16x^3 + 84x^2

To find the derivatives of the given functions, we'll use the power rule, product rule, quotient rule, chain rule, exponential rule, and logarithmic rule where applicable. Let's solve each problem one by one:

Given: z(x) = (3x^2 - 2x)(2x - 7)^4

To find the derivative, we'll apply the product rule. The product rule states that if we have a function u(x) multiplied by another function v(x), the derivative of the product is given by:

(d/dx)(u(x) * v(x)) = u'(x) * v(x) + u(x) * v'(x)

Let's apply the product rule to z(x):

z'(x) = (3x^2 - 2x)' * (2x - 7)^4 + (3x^2 - 2x) * ((2x - 7)^4)'

Taking the derivatives of each term:

z'(x) = (6x - 2) * (2x - 7)^4 + (3x^2 - 2x) * 4(2x - 7)^3 * 2

Simplifying the expression:

z'(x) = (6x - 2)(2x - 7)^4 + 8(3x^2 - 2x)(2x - 7)^3

Given: f(x) = (6x - 1)^3 / (5x + 3)^3

To find the derivative, we'll apply the quotient rule. The quotient rule states that if we have a function u(x) divided by another function v(x), the derivative of the quotient is given by:

(d/dx)(u(x) / v(x)) = (u'(x) * v(x) - u(x) * v'(x)) / v(x)^2

Let's apply the quotient rule to f(x):

f'(x) = ((6x - 1)^3)' * (5x + 3)^3 - (6x - 1)^3 * ((5x + 3)^3)'

Taking the derivatives of each term:

f'(x) = 3(6x - 1)^2 * 6 - (6x - 1)^3 * 3(5x + 3)^2 * 5

Simplifying the expression:

f'(x) = 18(6x - 1)^2 - 15(6x - 1)^3(5x + 3)^2

Given: f(x) = 4x^3 / (-2x + 7)

To find the derivative, we'll apply the quotient rule again:

f'(x) = (4x^3)' * (-2x + 7) - 4x^3 * (-2x + 7)'

Taking the derivatives of each term:

f'(x) = 12x^2 * (-2x + 7) - 4x^3 * (-2)

Simplifying the expression:

f'(x) = -24x^3 + 84x^2 + 8x^3

f'(x) = -16x^3 + 84x^2

So, the derivatives of the given functions are:

z'(x) = (6x - 2)(2x - 7)^4 + 8(3x^2 - 2x)(2x - 7)^3

f'(x) = 18(6x - 1)^2 - 15(6x - 1)^3(5x + 3)^2

f'(x) = -16x^3 + 84x^2

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Answer:

hundredths; 81.73

Step-by-step explanation:

If the number underlined is two, then it will rounding to the hundredths place. Since the number after it is 7, which is greater than 5, we get 81.73.

Answer:

Step-by-step explanation:

The requreid equation of the circle is \((x + 5)^2 + (y + 3)^2 = 17^2\).

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

Where h, k is the coordinate of the center of the circle on a coordinate plane and r is the radius of the circle.

Here,
the center is (-5, -3), so we have:

(x - (-5))² + (y - (-3))² = r²

Simplifying, we get:

(x + 5)² + (y + 3)² = r²

We also know that the circle contains the point (3, -18). Substituting this point into the equation of the circle, we get:

(3 + 5)² + (-18 + 3)² = r²

Simplifying, we get:

8² + (-15)^2 = r²

64 + 225 = r²

289 = r²

Taking the square root of both sides, we get:

r = 17

Therefore, the equation of the circle is:

\((x + 5)^2 + (y + 3)^2 = 17^2\)

or

\(x^2 + 10x + y^2 + 6y + 9 = 289\)

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Answer:

D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The polar curve r = -2 sin θ can be graphed by first plotting the graph of r as a function of θ in Cartesian coordinates. To do this, we can set r = y and θ = x, and then plot the resulting equation y = -2 sin x.

This graph will have the shape of a sinusoidal wave with peaks at y = 2 and troughs at y = -2.
To sketch the same polar curve in Cartesian form, we can use the conversion equations x = r cos θ and y = r sin θ. Substituting in the given polar equation, we get x = -2 sin θ cos θ and y = -2 sin² θ. Simplifying these equations, we get x = -sin 2θ and y = -2/3 (1-cos² θ). This graph will have the shape of a four-petal rose.
The graphs from Part (a) and Part (b) are different because they represent different equations. Part (a) is the graph of y = -2 sin x, which is a sinusoidal wave. Part (b) is the graph of a four-petal rose. However, both graphs share some similarities in terms of their shape and symmetry. They are both symmetrical about the origin and have a repeating pattern.
In conclusion, we can sketch a polar curve by first graphing r as a function of θ in Cartesian coordinates and then converting it to Cartesian form. The resulting graphs may look different, but they often share similar patterns and symmetries.

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Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

we know that

A diameter of the circle is a chord that passes through the center

so

In this problem we have that

the diameter are