A circle with centre O has a radius of 6.2 cm.
AB is a diameter of the circle.
ABCD is a square.
Calculate the area of the shaded region.
You must show all your working.

The derivative of the function f(x) = 390 by using the rules of differentiation is f'(x) = 0.

To find the derivative of the function f(x) = 390, we can apply the rules of differentiation.

In this case, the function f(x) = 390 is a constant function, which means it does not depend on the variable x. The derivative of a constant function is always zero.

Therefore, the derivative f'(x) of the function f(x) = 390 is:

f'(x) = 0

The derivative of a constant function is zero because a constant value does not change with respect to the variable x. So regardless of the value of x, the rate of change of the function is always zero.

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Interest be I

If interest is daily

If interest is monthly (30days)

Answer:

$ 1.20

Step-by-step explanation:

\(\sf Time = 10 \ days = \dfrac{10}{365}=\dfrac{2}{73}\)

\(Interest = Principal * time *rate\\\\\\=470*\dfrac{2}{73}*\dfrac{9}{100}\\\\= 1.20\)

= $ 1.20

Answer:

The narrator checks the old man at every night at midnight

Step-by-step explanation:

To determine the maximal velocity from an acceleration vs. time graph, you need to follow these steps:

Identify the time interval during which the acceleration remains constant or nearly constant. This interval can be identified as a straight line on the graph.

Calculate the acceleration value during this interval by finding the slope of the line. The slope is the change in acceleration divided by the change in time.

Use the acceleration value and the time interval to calculate the change in velocity during this interval using the formula:

Δv = aΔt

Where Δv is the change in velocity, a is the acceleration, and Δt is the time interval.

Add the change in velocity to the initial velocity at the start of the time interval to obtain the maximal velocity. If the initial velocity was zero, then the maximal velocity will be equal to the change in velocity.

vmax = vi + Δv

Where vmax is the maximal velocity and vi is the initial velocity.

Note that this method assumes that the acceleration is constant or nearly constant during the time interval of interest. If the acceleration changes significantly during this time interval, you will need to break it down into smaller intervals and repeat the above steps for each interval to determine the maximal velocity.

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Answer:

19 houses

Step-by-step explanation:

90*(2/5)=36

90-36=54

54*(2/3)=37

54-37=19

Answer:

ehh....130 is your answer alr bye

the answer to your question is 130

According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same. The formula for this property can be expressed in real numbers a, b and c. If a × c = b × c.

Property of Equality:

The equivalence property describes the relationship between two equal quantities. If you apply a math operation to one side of the equation, you must also apply it to the other side of the equation to maintain balance.

That is, a property that does not change the truth value of an equation or does not affect the equivalence of two or more quantities is called an equality property. These equality properties help solve various algebraic equations and define equivalence or equilibrium relationships.

Multiplicative Property of Equality:

According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same.

The formula for this property can be expressed as for the real numbers a, b, and c.

If a × b, then, a × c = b × c.

In algebra, the multiplicative property of an equation helps extract unknown terms from an equation. Because multiplication and division are opposites of each other.

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The volume value for the solid is obtained as 381.33 unit³.

What is volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

The equations of the lines in terms of y-axis are, y = x and y = 0.

The equations of the lines in terms of x-axis are, x = 5 and x = 7.

The solid is rotated about the line, x = 1.

Now, the solid is rotated about the line crossing the x-axis at the point x =1.

The height of the solid in the bounded will be, h = 1 - x.

The radius of the solid in the bounded will be r = 0 - x = -x.

The volume of the solid in a small region can be given as -

dV = 2πrh dx ....(1)

Here, dx is the width of the small element.

The above equation can be integrated by taking the limits according to the lines bounding the solid, which are given as -

5 ≤ x ≤ 7

The limits for the volume of the small element are from 0 to V.

Integrating the equation (1), we get -

\(\int\limits^V_0 {dV} =\int\limits^7_5 {2 \pi rh} \, dx\)

Substitute the values in the above equation, and we get -

\(\int\limits^V_0 {dV} =\int\limits^7_5 {2 \pi(-x)(1-x)} \, dx\)

\([V]_0^V=2\pi\int\limits^7_5 {(-x+x^2)} \, dx\)

\([V]-0=2\pi\int\limits^7_5 {-x\, dx}+2\pi\int\limits^7_5 {x^2} \, dx\)

\(V=2\pi\bigg[-\frac{x^2}{2}\bigg]_5^7+2\pi\bigg[\frac{x^3}{3}\bigg]_5^7\)

\(V=2\pi\bigg[-\bigg(\frac{7^2}{2}-\frac{5^2}{2}\bigg)\bigg+\bigg(\frac{7^3}{3}-\frac{5^3}{3}\bigg)\bigg]\)

Solving further, we get -

\(V=2\pi\bigg[-\frac{49}{2}+\frac{25}{2}+\frac{343}{3}-\frac{125}{3}\bigg]\)

\(V=2\pi\bigg[-\frac{24}{2}+\frac{218}{3}\bigg]\)

\(V=2\times\frac{22}{7}\times\frac{364}{6}\)

V = 381.33 unit³

Therefore, the volume of the solid is 381.33 unit³.

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Answer:

The zeros of the function:

\(x=2,\:x=-4\)

Step-by-step explanation:

Given the function

\(f\left(x\right)=x^2+2x-8\)

In order to determine the zeros of the function, substitute f(x) = 0

\(x^2+2x-8\:=0\)

Breaking the expression x²+2x-8=0 into groups

\(\:\left(x^2-2x\right)+\left(4x-8\right)=0\)

Factor out x from x²-2x:   x(x-2)

Factor out 4 from 4x-8:   4(x-2)

so

\(x\left(x-2\right)+4\left(x-2\right)=0\)

Factor out common term: x-2

\(\left(x-2\right)\left(x+4\right)=0\)

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

\(x-2=0\quad \mathrm{or}\quad \:x+4=0\)

solving x+2 = 0

x+2 = 0

x = -2

solving x+4=0

x+4 = 0

x = -4

Therefore, the zeros of the function:

\(x=2,\:x=-4\)

The points represent that Wanda should sew 16 small gloves and 2 pairs of large gloves to maximize the profit.

The mathematical expression for inequality states that neither side is equal. In mathematics, inequality occurs when the relationship results in a non-equal comparison between two expressions or numbers. Any of the inequality symbols, such as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), or not equal to (≠), can take the place of the equal sign "=" in this expression.

Given  Wanda sews small and large gloves,

time for small gloves = 45 minutes

time for large gloves = 120 minutes

total time = 16 hours = 960 minutes

let x be the number of small gloves and y be the number of large gloves,

inequality equation is 45x + 90y ≤ 960

and cost of small gloves = $2

cost of large  gloves = $4

total amout = $40

equation 2x + 4y ≤ 40

and the points (16, 2)

the points explain they are the minimum quantity of small and large gloves to maximize the profit the number of small gloves should not be less than 16 and the number of large gloves should not be less than 2.

Hence points (16, 2) explain the values of x and y.

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the complete question is in image.

The amount you will have in 5 years with an initial deposit of $2,500 in an account that pays .51 percent interest compounded quarterly is $2,767.74.

To calculate the interest earned for the next 5 years at a quarterly compounding rate of .51 percent, we use the formula given below;A = P(1 + r/n)^(nt)

where, A is the amount,P is the principal, r is the interest rate in decimal, n is the number of times compounded per year and t is the number of years we will invest in.

Using the formula, we can get the answer. Therefore, the amount you will have in 5 years with an initial deposit of $2,500 in an account that pays .51 percent interest compounded quarterly is $2,767.74.

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Answer:

free points pogchamp

Step-by-step explanation:

She is a time of 1 second 80 feet away from you.

Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.

We have been given that starting from 100 ft away, your friend skates toward you and then passes you. she skates at a constant speed of 20ft/s.

Her distance d from you in feet after t seconds is given by d= |100-20t|.

If she is 80 feet away from you,

d = |100-20t|

Here d = 80 feet

80 = |100-20t|

Substitute the value of d = 80 in the above equation,

100 - 20t = 80

20t = 100 - 80

20t = 20

t = 1 sec

Therefore, she is a time of 1 second 80 feet away from you.

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Answer:

the building would be 32.5 feet tall.

Step-by-step explanation:

Answer:

Step-by-step explanation:

here hope it helps

Answer:

A = (5, 4)

B = (4, 3)

C = (5, 2)

D = (6, 3)

Step-by-step explanation:

Before I do anything, I will write the figure's coordinates for ABCD

A = (2, 3)

B = (1, 2)

C = (2, 1)

D = (3, 2)

Now, a translation means adding and or subtracting the x and y coordinates within the ordered pairs.

3 units right means add 3 units to the value of coordinate x. Coordinate x will always be for any horizontal movement (left and right).

1 unit up means add 1 unit to the value of coordinate y. Coordinate y will always be for any vertical movement (up and down).

Make these adjustments to each ordered pair:

A = (2 + 3, 3 + 1)

A = (5, 4)

B = (1 + 3, 2 + 1)

B = (4, 3)

C = (2 + 3, 1 + 1)

C = (5, 2)

D = (3 + 3, 2 + 1)

D = (6, 3)

Unfortunately I cannot graph the points for you, but if you mark each ordered pair I've given and then connect them together with lines, it will be graphed.

The population proportion is an important concept in survey research and statistical analysis, as it represents the parameter of interest for the population being studied.

The population proportion in this case is the percentage of all students at the large university who are registered voters. The political science student used a sample of 777 students to estimate this proportion, and found that 67% of them were registered voters. However, it's important to note that this sample is not necessarily representative of the entire student population at the university, and there may be some degree of sampling error.

To estimate the population proportion more accurately, the political science student could use statistical techniques such as confidence intervals or hypothesis testing. These methods would help to determine the range of likely values for the population proportion, and to assess whether the observed proportion of 67% is significantly different from what would be expected by chance.

Overall, the population proportion is an important concept in survey research and statistical analysis, as it represents the parameter of interest for the population being studied. By carefully selecting a representative sample and using appropriate statistical methods, researchers can estimate this proportion with a high degree of accuracy and precision.
 

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Answer:

0.44 I think

Step-by-step explanation:

Answer:

0.44

Step-by-step explanation:

The correct answer is Independent groups design.

Given that,

Participants in a study are randomly allocated to one of two groups; one group is run at night, while the other is run during the day. Then, each member of each group is measured twice under the red and blue conditions, respectively.

Independent groups design.

Independent measures style, conjointly called between groups is an experimental style wherever completely different participants are employed in every condition of the experimental variable. This suggests that every condition of the experiment includes a distinct cluster of participants.

Therefore, the correct answer is Independent groups design.

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To show that the wave function y=e^(b(x-vt)) is a solution of the linear wave equation (eq. 16.27), we need to plug the wave function into the equation and see if it satisfies the equation.

The linear wave equation (eq. 16.27) is given by:

∂^2y/∂x^2 = (1/v^2) ∂^2y/∂t^2

Plugging in the wave function y=e^(b(x-vt)) into the equation, we get:

∂^2(e^(b(x-vt)))/∂x^2 = (1/v^2) ∂^2(e^(b(x-vt)))/∂t^2

Taking the second derivative with respect to x, we get:

b^2 e^(b(x-vt)) = (1/v^2) ∂^2(e^(b(x-vt)))/∂t^2

Taking the second derivative with respect to t, we get:

b^2 e^(b(x-vt)) = (1/v^2) b^2 v^2 e^(b(x-vt))

Simplifying, we get:

b^2 e^(b(x-vt)) = b^2 e^(b(x-vt))

This shows that the wave function y=e^(b(x-vt)) satisfies the linear wave equation (eq. 16.27) and is therefore a solution of the equation.

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Slope of the line passing through (-5,-4)  and (-1,3)is 1.75

The slope formula

slope = (y₂ - y₁) / (x₂ - x₁)

Notice that the slope of a line is easily calculated by hand using small, whole number coordinates. The formula becomes increasingly useful as the coordinates take on larger values or decimal values.

The  points belong to an increasing, linear function.

Equation: y = 1.75x + 4.75.

m=7/4=1.75.

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The algebraic representation that shows a dilation that is an enlargement is (5/2 x,5/2 y). (Option D)

A dilation is a type of transformation that changes the size of the shape or object.  It refers to a process of changing an object’s size by decreasing or increasing its dimensions by a scaling factor. A dilation produces an image that has the same shape as the original image but is a different size.

A dilation that results in a larger image is called an enlargement while a dilation that generates a smaller image is called a reduction. A dilation is described using the scale factor and the center of the dilation (which is a fixed point in the plane).

For a scale factor > 1, the image is an enlargement; for a scale factor < 1 and  > 0, the image is a reduction; and for a scale factor = 1, the figure and the image are congruent. Hence, for a point (x,y), algebraic representation that shows a dilation that is an enlargement is (5/2 x,5/2 y) as the scale factor is greater than 1. For the remaining options, the scale factor is between 0 and 1, hence they are reduction.

Note: The question is incomplete. The complete question probably is: Which of the following algebraic representation shows a dilation that is an enlargement? A) (1/3 x,1/3 y) B) (0.1x, 0.1y) C) (5/6 x,5/6 y) D) (5/2 x,5/2 y)

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Answer:

Step-by-step explanation:

Step-by-step explanation:

Probably a cylinder would work best

volume of a cylinder = pi r^2 h

75% of the beads are green in color.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Chase ordered a set of beads

He received 4,000 beads in all.

3,000 of the beads were green.

We need to find the  percentage of the beads were green of 4000.

x/100×4000=3000

40x=3000

Divide both sides by 40

x=75%

Hence, 75% of the beads are green in color.

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The curve that describes the level curve of value c of the surface \(z=x^{2}/4 + y^{2}/25\)  where c < 0 is a hyperbola i.e., the correct option is B.

To find the level curve, we set the surface equation equal to the constant value c:
\(c = x^{2}/4 + y^{2}/25\)
Since c is negative, let's rearrange the equation to isolate the terms with x and y:
\(y^{2}/25 - x^{2}/4 = -c\)
Now, we can rewrite the equation in a more recognizable form by dividing both sides by -c:
\(y^{2}/(25 * -c) - x^{2}/(4 * -c) = 1\)
This equation represents a hyperbola, as it has the general form of the equation for a hyperbola centered at the origin:
\(x^{2}/a^{2} - y^{2}/b^{2} = 1\)
Therefore, the level curve is a hyperbola.

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The absolute value is:

Work/explanation:

First, we will evaluate 2-7.

It evaluates to -5.

Now, let's find the absolute value of -5 by using these rules:

\(\sf{\mid a\mid=a}\)

\(\sf{\mid-a \mid=a}\)

Similarly, the absolute value of -5 is:

\(\sf{\mid-5\mid=5}\)

We can reject the null hypothesis. Thus, the appropriate decision is to "Reject the null hypothesis." Therefore, the correct answer is option B.

Here, we are testing the hypothesis regarding the dining habit of Richmond families at the 0.01 level of significance. The sample size, n = 81Sample mean, $\overline{x}$ = 2.7Sample standard deviation, s = 0.9Null Hypothesis: H0: µ ≥ 3 (the population mean of the dining habit of Richmond families is greater than or equal to 3)Alternative Hypothesis: H1: µ < 3 (the population mean of the dining habit of Richmond families is less than 3)The test statistic is given by: $t =

\frac{\overline{x}-\mu}{\frac{s}{\sqrt{n}}}$Here, we need to find out the critical value from t-distribution table with n-1 degrees of freedom at 0.01 level of significance. We get the critical value, t0.01(80) = -2.54Now, putting the values, we get,$t = \frac{2.7-3}{\frac{0.9}{\sqrt{81}}} = -3$The calculated value of t is less than the critical value of t. Hence, we can reject the null hypothesis. Thus, the appropriate decision is to "Reject the null hypothesis." Therefore, the correct answer is option B.

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Answer:

it is D

Step-by-step explanation: