ASAP!!! if my grade is a 91% and i get a 74% what will my grade be

Check the picture below.

The central angle (in radians ) is 0.8 radians.
What is a cricle ?

A circle is a basic 2D shape measured by its radius. A circle divides the plane into two areas: interior and exterior. Similar to line type. Imagine a line segment bending until the ends connect. Arrange the loops so that they form a perfect circle.

we know that,

arc length = radius *  central angle (in radians)

and central angle (in radians) = arc length / radius

by substituting the given values

arc length = 7.2

radius=9

we get,

central angle (in radians) = 7.2 / 9

=0.8 radians

Hence , the central angle = 0.8 radians

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Answer:

Step-by-step explanation:

2x^2+8x+5x-20=0

2x(x+4) - 5(x+4)=0

(2x-5)(x+4)=0

x=-4 or x=5/2

Answer:

2x³-2x²-3x-14

Hope it helps you

The curve is y = In(sec(x)) and we have to find its length. We are given the range as 0 ≤ x ≤ π/4. So, the formula for the length of the curve is given as:

To solve for the length of the curve of y = In(sec(x)), we use the formula,

`L = ∫[a,b] √[1+(f′(x))^2] dx`.Where, `a = 0` and `b = π/4`. And `f′(x)` is the derivative of `In(sec(x))`.

We know that:`f′(x) = d/dx[In(sec(x))]`

Using the formula of logarithm differentiation, we can write the above equation as:

`f′(x) = d/dx[In(1/cos(x))]`

So,`f′(x) = -d/dx[In(cos(x))]`

Therefore,`f′(x) = -sin(x)/cos(x)`

Substituting the values, we get:

`L = ∫[a,b] √[1+(f′(x))^2] dx`

`L = ∫[0,π/4] √[1+(-sin(x)/cos(x))^2] dx`

`L = ∫[0,π/4] √[(cos^2(x)+sin^2(x))/(cos^2(x))] dx`

`L = ∫[0,π/4] sec(x) dx`

Now, `L = ln(sec(x) + tan(x)) + C` where `C` is a constant.

We calculate the constant by substituting the values of `a = 0` and `b = π/4`:

`L = ln(sec(π/4) + tan(π/4)) - ln(sec(0) + tan(0))`

`L = ln(√2 + 1) - ln(1 + 0)`

`L = ln(√2 + 1)`

Thus, the exact length of the curve is `ln(√2 + 1)` units.

Thus, the exact length of the curve of y = In(sec(x)), 0≤x≤π/4 is `ln(√2 + 1)` units.

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An alpha level of 0.01 indicates a stringent criterion for statistical significance. In most cases, it would lead to the rejection of the null hypothesis.

In statistical hypothesis testing, the null hypothesis represents the absence of a relationship or effect. The alpha level, also known as the significance level, determines the threshold for rejecting the null hypothesis. An alpha level of 0.01 implies that the researcher is willing to accept a 1% chance of making a Type I error, which is the rejection of a true null hypothesis.

When conducting hypothesis testing, if the calculated p-value (the probability of observing the data or more extreme results given that the null hypothesis is true) is less than the alpha level, it is considered statistically significant. In the case of an alpha level of 0.01, if the p-value falls below this threshold, the null hypothesis is rejected. This means that the observed results are unlikely to occur by chance alone and provide sufficient evidence to support the alternative hypothesis, which suggests the presence of a relationship or effect.

However, it's important to note that the appropriateness of an alpha level depends on various factors, such as the field of study, sample size, and the potential consequences of Type I and Type II errors. Researchers need to carefully consider the context and interpret the results accordingly.

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The volume of the steel barrel with the given diameter and depth is 138.474ft³.

Hence, option C) 138.474 cubic feet is the correct answer.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given the data in the question;

Volume of the steel barrel V = ?

We substitute our values into the expression above.

V = π × r² × h

V = 3.14 × (3ft)² × 4.9ft

V = 3.14 × 9ft² × 4.9ft

V = 138.474ft³

The volume of the steel barrel with the given diameter and depth is 138.474ft³.

Hence, option C) 138.474 cubic feet is the correct answer.

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The result for the given normal random variables are as follows;

a. E(3X + 2Y) = 18

b. V(3X + 2Y) = 77

c. P(3X + 2Y < 18) = 0.5

d. P(3X + 2Y < 28) = 0.8729

Any normally distributed random variable having mean = 0 and standard deviation = 1 is referred to as a standard normal random variable. The letter Z will always be used to represent it.

Now, according to the question;

The given normal random variables are;

E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) = 8.

Part a.

Consider E(3X + 2Y)

\(\begin{aligned}E(3 X+2 Y) &=3 E(X)+2 E(Y) \\&=(3) (2)+(2)(6 )\\&=18\end{aligned}\)

Part b.

Consider V(3X + 2Y)

\(\begin{aligned}V(3 X+2 Y) &=3^{2} V(X)+2^{2} V(Y) \\&=(9)(5)+(4)(8) \\&=77\end{aligned}\)

Part c.

Consider P(3X + 2Y < 18)

A normal random variable is also linear combination of two independent normal random variables.

\(3 X+2 Y \sim N(18,77)\)

Thus,

\(P(3 X+2 Y < 18)=0.5\)

Part d.

Consider P(3X + 2Y < 28)

\(Z=\frac{(3 X+2 Y-18)}{\sqrt{77}}\)

\(\begin{aligned} P(3X + 2Y < 28)&=P\left(\frac{3 X+2 Y-18}{\sqrt{77}} < \frac{28-18}{\sqrt{77}}\right) \\&=P(Z < 1.14) \\&=0.8729\end{aligned}\)

Therefore, the values for the given normal random variables are found.

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The correct question is-

X and Y are independent, normal random variables with E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) = 8. Determine the following:

a. E(3X + 2Y)

b. V(3X + 2Y)

c. P(3X + 2Y < 18)

d. P(3X + 2Y < 28)

Answer:

C is the hypothenuse of the Triangle,

Ten is the hypothenuse

Seven is the leg

So do it like this:

\(7^2+b^2=10^2\\\\49 + b^2 = 100\\b^2 = 100-49\\b^2 = 51\\\\b = \sqrt{51}\)

The polynomial from the given problem is; f(x) = (x - 2)(x - 2)(x + i)(x - i)

First of all, we will use the factored form of a polynomial.  Since we are told that the degree of the polynomial is 4, then, there will be four factors written as:

f(x) = a(x - p)(x - q)(x - r)(x - s)

where;

a is a constant

p, q, r, s are the zeros of the polynomial.  

We are given three of the four roots.  Now, a multiplicity of 2 means that the root appears twice, and as such the three roots are 2, 2, and -i.  

Now with real coefficients, we can employ the conjugate root theorem which states that if -i is a root or zero of a polynomial, then +I is also a zero of the polynomial.

Thus, all 4 roots will be: 2, 2, -i, and i.

The polynomial will then be expressed as;

f(x) = a·(x - 2)(x - 2)(x + i)(x - i)

Since we are asked to find any polynomial, then we can choose an value of a except zero.  If we select a = 1, then the polynomial will be;

f(x) = (x - 2)(x - 2)(x + i)(x - i)

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Answer:

f(-1) = 0

f(2) = 16

Step-by-step explanation:

f(-1) = 4(-1) + 4 = 0

f(2) = 4(2) + 8 = 16

If the solutions to the characteristic equation are m1 and m2, the general solution y(x) will have the property that,

y(x) → 0 as x → ∞ in the following cases:

CASE-1:

Both m1 and m2 are negative real numbers. In this case, the general solution will be:

y(x) = C1 * e^(m1 * x) + C2 * e^(m2 * x), and as x → ∞, y(x) → 0 due to the exponential decay of the negative exponents.

CASE-2:

m1 and m2 are complex conjugates with negative real parts. This occurs when the characteristic equation has complex roots with negative real components.

In this case, the general solution will be y(x) = e^(α * x) * (C1 * cos(β * x) + C2 * sin(β * x)),

where α is the negative real part, and β is the imaginary part of the complex conjugates.

As x → ∞, y(x) → 0 because the exponential term (e^(α * x)) decays to zero.

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Answer:

That answer is correct

Step-by-step explanation:

all of the other ones have errors in them, the domain is every dot above below or on the x-axis.

Answer: 45

Because 8*2.25=18 it has to be the same way to calculate below on the same triangle

20*2.25=45

Answer:

The answer is 39 kg

Step-by-step explanation:

We are looking for the weight of box A so we will use the number given to use for Box A.

We also have the total which is 194/4 kg

If we divide 195 by 5 we will get 39 kg

But to check if your answer is correct also divide 195 by 41 and that will give us 4.75 kg

And if you add the two answers up your will get 43.75 kg

Now we need to find the weight of Box B to see if our answer is correct

When you subtract 43.75 from 195 you will get 151.25

When we will add 43.75 to 151.25 you will get 195

So the answer is correct, the answer is 39 Kg

Distance = rate x time

x= rate of slower train

x+22 = rate of faster train

Both trains meet when the sum of the distances is 1160 km.

4x+ 4 (x+22) = 1160

Solve for x:

4x+4x+88 = 1160

8x = 1160-88

8x = 1072

x= 1072/8

x= 134

rate of slower train = 134 km /h

Rate of faster train= x+22 = 134+22 = 156 km/h

The value of x according to the complete task content as given is; 5.

It follows from the complete task content that a right angled triangle is given(in which case one of the angles is a right angle = 90°).

Hence, the required value of x can be determined from the; sum of interior angles of a triangle as follows;

90° + 54° + 7x + 1° = 180°

7x = 180° - 90° - 54° - 1°

Evaluate the right side of the equation;

7x = 35°

Divide both sides by; 7;

x = 35°/7

x = 5.

Ultimately, the value of x according to the task content is; 5.

Remark:

The completed task content is; The measures of the angles of a triangle are shown in the figure below. Solve for x. The figure is a right triangle with the other two interior angles 54° and (7x + 1)°.

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Answer: linear combo of terms involving x & y, with respective numbers determining their contribution to the expression

If ages are normally distributed then using a significance level of 0.05 , we can claim that the population mean is greater than 24.

Given sample mean of 25 years , sample size of 16 ,standard deviation of 2 years.

We have to find whether the population average is greater than 24.

We have to use t test because n is less than 30. It is right tailed.

We have to first form Hypothesis.

\(H_{0}\):μ>24,

\(H_{1}\):μ<24.

t=X-μ/S/\(\sqrt{n}\)

t critical at 5% significance level and degree of freedom=15    (16-1)=1.7531

t=24-25/2/\(\sqrt{16}\)

=-1/0.5

=-2

Because 1.7531 is greater than -2 so we will accept the null hypothesis.

Hence we can say that the average of population is greater than 24.

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Answer:

5 hours

Step-by-step explanation:

You can use a simple equation for this problem, speed times time is distance. s * t = x. In this case, the distance, x, is 320 and the speed, s, is 64. We can move the s from the equation around and get t = x/s. So time = 320/64 which is 5 hours.

the area of section A, which has side lengths of 7 inches each.

To determine the area, we will use the following terms:

Area = Side length × Side length

Area = 7 inches × 7 inches

7 inches × 7 inches = 49 square inches

So, the area of section A is 49 square inches (OA).

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Answer:

The base length of the triangle is 34.5 mm.

34.5×2+5=74.

Step-by-step explanation:

Subtract 5 from 74 then divide 2 from 69 and you will get 34.5.

Answer:

The first answer is 74=2b+5

And the second answer is 34.5

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

The answer is 78 or 87 dear friend its a mystery

Answer:

1 19/42

- 1 1/30

3&4 are both 1 1/7

Step-by-step explanation:

Answer:

5. ∠1.

6. ∠3.

7. ∠1.

8. 180°.

note: wherever there is a ∠ symbol, it means "angle".

Step-by-step explanation:

5. An exterior angle of the triangle is ∠1.

6. The remote interior angles of the triangle to the exterior angle 1 are ∠2 and ∠3.

7. The sum of the measure of angles 2 and 3 is equal to the measure of ∠1.

8. The sum of the measure of angles 1 and 4 is 180°.

note: wherever there is a ∠ symbol, it means "angle".

Answer:

1. \(V =1607.7\ in^3\)

2. \(V = 105mm^3\)

3. \(V = 147yd^3\)

Step-by-step explanation:

Solving (1):

Given

\(Radius, r =8\ in\)

\(Height, h =8\ in\)

Required

Determine the volume

Volume (V) of a cylinder is calculated as thus:

\(V =\pi r^2h\)

\(V =3.14 * 8^2 * 8\)

\(V =1607.7\ in^3\)

Hence, the volume of the cylinder is \(1607.7\ in^3\)

Solving (2):

Given

\(Length, l = 5mm\)

\(Width, B = 7mm\)

\(Height, H = 3mm\)

Required

Determine the volume (V) of the rectangular prism

Volume (V) of a rectangular prism is calculated as thus:

\(V = LBH\)

\(V = 5mm * 7mm * 3mm\)

\(V = 105mm^3\)

Hence, the volume of the prism is \(105mm^3\)

Solving (3):

Given

\(Length, l = 7yd\)

\(Width, B = 7yd\)

\(Height, H = 9yd\)

Required

Determine the volume (V) of the pyramid

Volume (V) of a pyramid is calculated as thus:

\(V = \frac{1}{3} *LBH\)

\(V = \frac{1}{3} * 7yd * 7yd * 9yd\)

\(V = \frac{1}{3} * 441yd^3\)

\(V = 147yd^3\)

Hence, the volume of the pyramid is \(147yd^3\)

Answer:

20.67

Step-by-step explanation:

Solution: B. 1/2

Analysis

We are transforming triangle ABC to DFE. If we see the graph, we can see the measures of each side of the triangle, decrease by half. According to that, it would be 1/2 of the original measure.