please help me

find
\( \sin(2x + \frac{5\pi}{4} ) \)
if
\( \tan(x) = \frac{2}{3} \)


​

Answer:

you have to use the formula of a line passing through a point, so: y-y0=m(x-x0)

We also know that m=8, because it is parallel to the line y=(8=m)x -1

so: y-2=8(x+6)

and you solve it, so:

y-2=8x+48

y=8x+48+2

y=8x+50

a) The probability that the actual resistance of the resistor is between 56.5Ω and 57.3Ω can be calculated using the normal distribution with the given mean and standard deviation.

b) The value separating the lowest 15% of actual resistance values from the remaining values can be found by determining the corresponding z-score and using it to calculate the resistance value.

c) To find the probability that the sample mean exceeds 55.75Ω for a sample of 10 resistors, we can use the Central Limit Theorem and the properties of the normal distribution.

d) The probability that at least 450 of the 500 resistors have an actual resistance value less than 56.5Ω can be estimated using the binomial distribution.

a) To find the probability that the actual resistance is between 56.5Ω and 57.3Ω, we calculate the z-scores corresponding to these values and use the standard normal distribution table or a calculator to find the area under the curve between the z-scores.

b) The value separating the lowest 15% of actual resistance values can be determined by finding the z-score that corresponds to a cumulative probability of 15% in the standard normal distribution. This z-score can then be converted back to the resistance value using the given mean and standard deviation.

c) The probability that the sample mean exceeds 55.75Ω for a sample of 10 resistors can be approximated by assuming that the sample mean follows a normal distribution. We calculate the z-score corresponding to the sample mean and use the properties of the normal distribution to find the probability.

d) To estimate the probability that at least 450 of the 500 resistors have an actual resistance value less than 56.5Ω, we can use the binomial distribution. We calculate the probability of having less than 450 resistors with a resistance value less than 56.5Ω and subtract it from 1 to find the complementary probability.

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Step-by-step explanation:

the domain of a function is always the interval or set of all valid input values (usually x, but here t).

the range is the interval or set of all valid result values (usually y or f(x), here h(t)).

as the graph shows, the function works only for values of t starting at 0 (at 0 seconds the object has 0 ft height, it is still on the ground and about to launch).

and it ends at t = 7.

obviously the object hits the ground after 7 seconds again after coming back down. so, the height function does not make any sense for values of t after that.

so, again, the domain is

0 <= t <= 7

The solution to the inequality 5x - 18 > 2(4x - 15) is x < 4.

To solve the inequality 5x - 18 > 2(4x - 15), we can simplify the expression and isolate the variable x.

First, distribute the 2 to the terms inside the parentheses:

5x - 18 > 8x - 30

Next, we want to isolate the x terms on one side of the inequality.

Let's move the 8x term to the left side by subtracting 8x from both sides:

5x - 8x - 18 > -30

Simplifying further, we combine like terms:

-3x - 18 > -30

Now, let's isolate the variable x.

We can start by adding 18 to both sides of the inequality:

-3x - 18 + 18 > -30 + 18

Simplifying further:

-3x > -12

To isolate x, we need to divide both sides of the inequality by -3. However, when we divide by a negative number, we need to flip the inequality sign:

(-3x) / (-3) < (-12) / (-3)

Simplifying gives us:

x < 4.

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Answer:

5 1/7

Step-by-step explanation:

Because we first add the whole numbers 3 and 1 which = 4 wholes.

Then 2 + 6=8/7 so since our nominator is more than our demionater we add another whole so now we have 5 wholes and what is left over?

1 since we took away 7 from 8 which is 1/7 so our answer is 5 wholes and 1/7

Hope this helps have a awesome day:)

\(Hello\) \(There!\)

\(3\frac{2}{7} + 1\frac{6}{7} .\)

\(=\frac{23}{7} +1\frac{6}{7}.\)

\(=\frac{23}{7} +\frac{13}{7} .\)

\(=\frac{36}{7} .\)

\(= 5\frac{1}{7} .\)

ANSWER:

\(5\frac{1}{7}\)

Hopefully, this helps you!!

\(XxEmilychuXx\)

Answer:

-2

Step-by-step explanation:

The constant has only a number and no variable

-2 +6c +3c

-2 is the constant

6 is a coefficient for the variable term

3 is a coefficient for the variable term

-2

How

\(\\ \sf\longmapsto -2+6c+3c\)

\(\\ \sf\longmapsto -2+(6+3)c\)

\(\\ \sf\longmapsto -2+9c\)

\(\\ \sf\longmapsto 9c-2\)

The solution for A'0 is as follows:

A'0 = (βR^(-1/γ) / (1 - R^(-1/γ)))^(1/γ)

We start with the equation (A0 - A0')^(-γ) = βR(RA0')^(-γ). To solve for A'0, we isolate it on one side of the equation.

First, we raise both sides to the power of -1/γ, which gives us (A0 - A0') = (βR(RA0'))^(1/γ).

Next, we rearrange the equation to isolate A'0 by subtracting A0 from both sides, resulting in -A0' = (βR(RA0'))^(1/γ) - A0.

Finally, we multiply both sides by -1, giving us A'0 = -((βR(RA0'))^(1/γ) - A0).

Simplifying further, we get A'0 = (βR^(-1/γ) / (1 - R^(-1/γ)))^(1/γ).

Complete question - Solve for A'0, given the equation (A0 - A0')^(-γ) = βR(RA0')^(-γ),

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The expression for  d=rt in terms of the time is t = d/r; t = 5.

Therefore,

In the equation d=rt

                          t = d/r

when distance is 40 and the rate is 8

                          t = d/r

Replace d with 40 and rate with 8

                          t = 40/8

                          t = 5

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The correct answer is option (A). The answer is metes and bounds.

Given that,

Despite being antiquated, the most adaptable method of defining land, capable of characterizing even the most atypical of parcels, may be summed up as a very exact, compass-directed stroll around a parcel's boundaries.

To find : This approach is frequently known as ?

Metes and bounds are limits of  piece of a land that may be located on its natural features. Metes and bounds markers are frequently employed in a land's "legal description." Legal description, which is recorded with the land's deed, is the geographical description of a piece of land that pinpoints its exact location.

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The probability of selecting an orange marble is 0.33.

Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of times each marble is selected.

Green = 4

Black = 6

Orange = 5

Total number of times all marbles are selected.

= 4 + 6 + 5

= 15

Now,

The probability of selecting an orange marble.

= 5/15

= 1/3

= 0.33

Thus,

The probability of selecting an orange marble is 0.33.

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Answer:Red

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 blue out of 15 chips

Answer:

10.2%

Step-by-step explanation:

The given population of the village in 2017 = 7,500

The given population of the village in 2019 = 8,265

The percentage increase in the population of the village from 2017 to 2019 is given by the following percentage increase formula;

\(Percentage \ increase = 100 \times \dfrac{Final \ value - Initial\ value}{Initial \ value}\)

The final value of the population in 2019 = 8,265

The initial value of the population in 2017 = 7.500

Therefore;

\(Percentage \ increase \ in \ the \ population = 100 \times \dfrac{8,265 - 7,500}{7,500} = 10.2 \%\)

The percentage increase in the population = 10.2%

The probability that an archer hits the bullseye at most three out of five times is 0.8914.

We need to find the probability that the archer hits the bullseye at most three out of five times.

Now we know that the probability of hitting the bullseye is 25%.

Thus, the probability of not hitting the bullseye is 1-0.25 = 0.75

Now the probability of hitting the bullseye at least three out of five times can be obtained by adding the probabilities of hitting the bullseye three, four, or five times.

So, the probability of hitting the bullseye three times is 5C3 (0.25)^3 (0.75)^2 = 0.2637

The probability of hitting the bullseye four times is 5C4 (0.25)^4 (0.75)^1 = 0.0879

The probability of hitting the bullseye five times is 5C5 (0.25)^5 (0.75)^0 = 0.00098

Therefore, the probability of hitting the bullseye at most three out of five times is:

P(at most three out of five times) = P(hitting three times) + P(hitting four times) + P(hitting five times)P(at most three out of five times)

= 0.2637 + 0.0879 + 0.00098P(at most three out of five times) = 0.35258

The required probability is 0.35258, which when rounded to four decimal places, is 0.8914.

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Rn = 1/n^3 * Σ(i^2) from i=1 to n can be expressed as the sum Rn using summation notation

Riemann sum for the area under the curve of the function f(x) = x^2 on the interval (0,1). Right-Riemann sum Rn was 1/n^3(1^2+2^2+3^3+...+n^2).

A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum.

To express the sum Rn using summation notation, you can write it as follows:

Rn = 1/n^3 * Σ(i^2) from i=1 to n

This notation means you're summing the squares of i (i^2) for each value of i from 1 to n, and then multiplying the result by 1/n^3.

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is this correct?

a * b = -70

a + b = -9......a = -9 - b

b(-9 - b) = -70

-b^2 - 9b + 70 = 0

(-b + 5)(b + 14) = 0

-b + 5 = 0

5 = b

b + 14 = 0

b = -14

ur numbers are -14 and 5

-14 * 5 = -70

-14 + 5 = -9

The solution to the given differential equation is y = ln|x^2 + 2|.

To solve the differential equation dy/dx = (2xy)/(x^2 + 2), we can separate the variables and integrate both sides. The steps are as follows:

Rearrange the equation: dy/y = (2x/(x^2 + 2))dx.

Integrate both sides: ∫(1/y)dy = ∫(2x/(x^2 + 2))dx.

Solve the integrals: ln|y| = ln|x^2 + 2| + C, where C is the constant of integration.

Exponentiate both sides: |y| = |x^2 + 2|e^C.

Since e^C is a positive constant, we can replace it with another constant, say k: |y| = k|x^2 + 2|.

Remove the absolute value signs: y = ±k|x^2 + 2|.

We can simplify ±k as a single constant, so y = k|x^2 + 2|.

Apply the initial condition y(2) = 3: 3 = k|(2)^2 + 2|, which gives k = 1/2.

Therefore, the final solution is y = (1/2)|x^2 + 2|, which can be written as y = ln|x^2 + 2|.

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Answer:

254.34 cm²

Step-by-step explanation:

A = πr2 Use the formula.

A = π(9)2 Substitute. Use 9 for r.

A ≈ 3.14 × 92 Substitute. Use 3.14 for π.

A ≈ 3.14 × 81 Evaluate the power.

A ≈ 254.34 Multiply.

The area of the DVD is about 254.34 cm².

The angle of elevation of the sun is decreasing at a rate of  \(0.25 rad/hr\) then the shadow is increasing at the rate = \(100ft/hr\)

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

The angle of elevation of the sun is decreasing at a rate = \(0.25 rad/hr\)

The height of the building = \(400 ft-tall\)

We need to find the rate at which the shadow is increasing

d/dθ = 1/4 rad/hr at θ = π/4  

So,

We can write,

\(\frac{400}{x}\) = tan θ

x = 400/ tan θ

Upon derivation with t

\(\frac{dx}{dt}\) = 400 sec²θ/tan ²θ dθ/dt

at θ = π/4 and dθ/dt  = \(0.25 rad/hr\)

\(\frac{dx}{dt}\) = \(400 (2*3) * 0.25\)

\(\frac{dx}{dt}\) = \(100ft/hr\)

Therefore,  

The angle of elevation of the sun is decreasing at a rate of  \(0.25 rad/hr\) then the shadow is increasing at the rate = \(100ft/hr\)

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Answer:

50 students voted

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

If 50 students voted, or 1/10th of students voted for him, than you can multiply 5 by 10 to get your answer, which equals 50.

Answer:

12x - 73

Step-by-step explanation:

DFE + CFD = 12x + 7

DFE + 90 = 12x + 7

DFE = 12x + 7 - 90

DFE = 12x - 83

therefore

DFE = AFB ( vertically opposite angles are equal)

AFB = 12x - 83

The solution to the system of equations y = 1.5x - 4 and y = -x  is (1.6,-1.6). The correct answer is D.

The solution to the system of equations can be calculate as follows

From the question we can conclude that the equations are :

y = 1.5x - 4

y = -x

to find the value of x and y  we can substitute y = -x in the first equation so it became

-x = 1.5x - 4

-1.5x - x = -4

-2.5x = -4

x = 1.6

after we found the value of x we can find the value of y by Substitute

x = 1.6 in y = -x

y = -1.6

Therefore, the solution to the y = 1.5x - 4 and y = -x  is (1.6,-1.6).

Your question is incomplete but most probably your full question was

What is the solution to the system of equations y = 1.5x – 4 y = –x

a.(–1.6, 1.6)

b.(–1.5, 1.5)

c. (1.5, –1.5)

d. (1.6, –1.6)

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The rate at which the radius of the balloon decreases 49 minutes after the leakage began is 7.8 meters per minute.

To calculate this, we must first find the total amount of helium that has escaped after 49 minutes: 49 minutes x 72π cubic meters per minute = 3,504π cubic meters of helium. Since the balloon began with 4500π cubic meters of helium, the remaining amount is 4500π - 3,504π = 996π cubic meters of helium. The radius of a sphere can be calculated using the formula 4/3 x π x (r)^3 = V, where r is the radius of the balloon and V is the volume.

Substituting in our values, 996π = 4/3 x π x (r)^3. This can be rearranged to find the radius, (996π)^1/3 = r. Finally, the rate of change of the radius can be calculated using the formula d(r)/dt = (dr/dt). Substituting in our values, 7.8 = (dr/dt) = [(996π)^1/3 - (995π)^1/3]/49 minutes. This is the rate at which the radius of the balloon decreases 49 minutes after the leakage began.

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Answer:

2/5

Step-by-step explanation:

add all marbles together: 10 marbles

since only 4 are red, the fraction would be 4/10

4/10 can be simplified to 2/5

Answer:

1/45

Step-by-step explanation:

2/10 * 1/9 = 1/45

2/10= 2 red marbles and 10 marbles in total.

Answer:

A

Step-by-step explanation:

Got this right on edmentum

Answer:

3.5 if the 901589 a whole number but 5 if it is supposed to be seperated

Step-by-step explanation:

Answer:

3.5 if the 901589 a whole number but 5 if it is supposed to be seperated

Step-by-step explanation:

The present value of $3,800 varies: $2,708.48 (9.0% monthly for 5 years), $2,553.08 (6.6% quarterly for 8 years), $3,136.96 (4.38% daily for 4 years), and $3,272.83 (5.7% continuously for 3 years).

a)To calculate the present value when the interest rate is 9.0 percent compounded monthly for five years, we can use the formula for compound interest: PV = FV /\((1 + r/n)^{(n*t)}\), where PV is the present value, FV is the future value, r is the interest rate, n is the number of compounding periods per year, and t is the number of years. Plugging in the values, we get PV = 3800 /\((1 + 0.09/12)^{(12*5)}\) ≈ $2,684.06.

b)For an interest rate of 6.6 percent compounded quarterly for eight years, we can use the same formula. PV = 3800 / \((1 + 0.066/4)^{(4*8)}\) ≈ $2,653.55.

c) When the interest rate is 4.38 percent compounded daily for four years, the formula gives us PV = 3800 / \((1 + 0.0438/365)^{(365*4)}\) ≈ $3,091.41.

d) In the case of continuous compounding at a rate of 5.7 percent for three years, the formula changes to PV = FV / \(e^{(r*t)}\) , where e is the base of the natural logarithm. Therefore, PV = 3800 /\(e^{(0.057*3)}\)≈ $3,244.82.

By applying the appropriate formulas and rounding the calculations to the specified decimal places, we find the present values for each scenario.

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Answer:

$40

Step-by-step explanation:

If the perimeter of the larger farm is 80 yards in a 8:5 ratio, the perimeter of the smaller farm will be 50 yards.

Multiply this value by the cost of 0.50 per yard to get $40.