please help! show all steps!
3 Differentiate the function g(x) = cos (*)

Answer: See explanation

Step-by-step explanation:

My friends calculation is wrong. 40% of 80 is not 200. It is:

= 40% of 80

= 40/100 × 80

= 0.4 × 80

= 32

He should have represented the missing number by x. Therefore,

40/100 = 80/x

Cross multiply

(40 × x) = (80 × 100)

40x = 8000

x = 8000/40

x = 200

push ups Step-by-step explanation:

Answer:

An urban area would be New York City, a rural area would be a small town in western Kansas.

Step-by-step explanation:

The best box for the cereal to be packaged in is box 1 the dimension is (4, 8, 16) surface area = 448 square units.

We can use the rectangular prism formula to determine the volume of each box. The volume of a box will indicate how much cereal can fit in one box.

For box 1, the volume is 4*8*16 = 512 cubic units.

For box 2, the volume is 2*8*32 = 512 cubic units.

For box 3, the volume is 2*4*64 = 512 cubic units.

Since all the volume is same, we only need to choose based on the surface area. Usually business will choose the lowest square units because it will require less material and can load more packages in the storage warehouse.

Thus, the correct option is the box 1 the dimension is (4, 8, 16) surface area = 448 square units.

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Answer:

I don't know what the question is, but 7.5 miles in 1/4 hour is equal to 30 mph.

The solution is, A and C are not independent.

B and C are not independent either.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

By the multiplication rule, the sampling space has possible outcomes.  

Let's compute P(A), P(B), P(C), P(A∩C), P(B∩C), P(A|C) and P(B|C).

As there are only two outcomes that does not have at least on tail in the first three tosses (H,H,H,H) and (H,H,H,T) then  

P(A) = 14/16 = 7/8

Similarly, as there are only two outcomes that does not have at least on head in the last three tosses (H,T,T,T) and (T,T,T,T) then  

P(A) = 14/16 = 7/8

A∩C and B∩C have 4 possible outcomes (T,H,T,T), (T,H,T,H), (H,H,T,T) and (H,H,T,H), so  

P(A∩C) = P(B∩C) = 4/16 = ¼

P(A) given C and P(B) given C have the following probabilities:  

P(A|C) = P(A∩C)/P(C) = 1

P(B|C) = P(B∩C)/P(C) = 1

Since P(A|C)≠P(A), A and C are not independent

Since P(B|C)≠P(B), B and C are not independent

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For the point 13. we have that the line passes through the points (-1,-2) and (0,1) then the slope is

and the line equation will be:

For the point 14: we have that the line passes through the points (-1,0) and (0,-1) then the sslope is:

and the line equation will be:

For the point 15: the line equation is y=-3 because the y coordinate will be always the same (-3) and the slope of the line will be equal to zero

Answer:

he actual densities of pure, dry, geologic materials vary from 880 kg/m3 for ice (and almost 0 kg/m3 for air) to over 8000 kg/m3 for some rare minerals. Rocks are generally between 1600 kg/m3 (sediments) and 3500 kg/m3 (gabbro).

Step-by-step explanation:

The Answer:

The answer to the equation that Clare gets is:

X1= -3/2 + 7/2i , X2= -3/2 - 7/2i.

The Explanation:

4x^2+12x+58=0

2x^2+6x+29=0

a=2, b=6, c=29

Answer:

Exact Form: \(\frac{17}{6}\)

Decimal Form: 2.83

Mixed Number Form: \(2 and 5/6\)

Step-by-step explanation:

Answer:

\(1\frac{1}{10}\)

Step-by-step explanation:

\(4\frac{1}{3}-2\frac{1}{2}\)

\(4\frac{2}{6} -2\frac{3}{6}=1\frac{5}{6}\)

\(1\frac{5}{6} =\frac{11}{6}\)

\(1\frac{2}{3}=\frac{5}{3}\)

\(\frac{11}{6}\) ÷ \(\frac{5}{3} =\)

\(\frac{11}{6} *\frac{3}{5}=\)

\(\frac{11}{2}*\frac{1}{5} =\)

\(=\frac{11}{10}\)

\(=1\frac{1}{10}\)

Hope this is helpful

Answer:

I does not say.

Step-by-step explanation:

From the given set S, the only integer that makes the inequality m - 5 + 3 false is m = -24.

To determine which integer(s) from the set S: (-24, 2, 20, 35) will make the inequality m - 5 + 3 false, we need to substitute each integer from the set into the inequality and check if the inequality becomes false.

The inequality is:

m - 5 + 3 < 0

Substituting each integer from the set S into the inequality:

For m = -24:

(-24) - 5 + 3 < 0

-26 + 3 < 0

-23 < 0 (True)

For m = 2:

2 - 5 + 3 < 0

0 < 0 (False)

For m = 20:

20 - 5 + 3 < 0

18 < 0 (False)

For m = 35:

35 - 5 + 3 < 0

33 < 0 (False)

From the given set S, the only integer that makes the inequality m - 5 + 3 false is m = -24.

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Answer:

D.

Step-by-step explanation:

Because 36:20 simplified is 9:5.

Answer:

It is D 9:5

Step-by-step explanation:

Beacuse 9x4= 36

and 5x4= 20

so 36:20 or 9:5

The calculated probabilities using the method of Q3 and the table of the standard normal  are: i) P(1 ≤ X ≤ 7) ≈ 0.8185 ii) P(-3 ≤ X ≤ 1) ≈ 0.3108 iii) P(X ≤ 24) ≈ 0.8413

Using the method of Q3 (cumulative distribution function) and the table of the standard normal distribution, we can evaluate the given probabilities. The probabilities involve a normally distributed random variable X with specific mean μ and standard deviation σ. We need to calculate the probabilities P(1 ≤ X ≤ 7), P(-3 ≤ X ≤ 1), and P(X ≤ 24) for the corresponding values of μ and σ.

To evaluate the probabilities, we need to convert the values of X to z-scores using the formula:

z = (X - μ) / σ

i) For P(1 ≤ X ≤ 7) with μ = 3 and σ = 2:

First, we calculate the z-scores:

z1 = (1 - 3) / 2 = -1

z2 = (7 - 3) / 2 = 2

Using the standard normal table, we find the corresponding probabilities for z1 and z2:

P(Z ≤ -1) = 0.1587 (from the table)

P(Z ≤ 2) = 0.9772 (from the table)

Therefore, P(1 ≤ X ≤ 7) ≈ P(-1 ≤ Z ≤ 2) = P(Z ≤ 2) - P(Z ≤ -1) = 0.9772 - 0.1587 = 0.8185

ii) For P(-3 ≤ X ≤ 1) with μ = -1 and σ = 5:

Calculating the z-scores:

z1 = (-3 - (-1)) / 5 = -0.4

z2 = (1 - (-1)) / 5 = 0.4

Using the standard normal table:

P(Z ≤ -0.4) = 0.3446 (from the table)

P(Z ≤ 0.4) = 0.6554 (from the table)

Therefore, P(-3 ≤ X ≤ 1) ≈ P(-0.4 ≤ Z ≤ 0.4) = P(Z ≤ 0.4) - P(Z ≤ -0.4) = 0.6554 - 0.3446 = 0.3108

iii) For P(X ≤ 24) with μ = 19 and σ = 5:

Calculating the z-score:

z = (24 - 19) / 5 = 1

Using the standard normal table:

P(Z ≤ 1) = 0.8413 (from the table)

Therefore, P(X ≤ 24) ≈ P(Z ≤ 1) = 0.8413

In conclusion, the calculated probabilities are:

i) P(1 ≤ X ≤ 7) ≈ 0.8185

ii) P(-3 ≤ X ≤ 1) ≈ 0.3108

iii) P(X ≤ 24) ≈ 0.8413

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The mean of this distribution is 3 and the standard deviation is 1.45 .To find the mean and standard deviation of a distribution, we need to use some standard formulas. For a binomial distribution, the mean is given by:

mean = n * p

where n is the number of trials and p is the probability of success in each trial.

The standard deviation is given by:

standard deviation = sqrt(n * p * (1 - p))

where sqrt() means square root.

So, if we have a random variable with a binomial distribution, we can find its mean and standard deviation using these formulas. For example, if we have a binomial distribution with n = 10 trials and p = 0.3 probability of success, we have:

mean = 10 * 0.3 = 3

standard deviation = sqrt(10 * 0.3 * (1 - 0.3)) = 1.45

Therefore, the mean of this distribution is 3 and the standard deviation is 1.45. We can use the same formulas for any other binomial distribution to find its mean and standard deviation.

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The length of arc FH is approximately 9.42 units when rounded to the nearest hundredth.

To find the length of arc FH in circle G, we need to use the formula:

Arc Length = (Central Angle / 360°) \(\times\) Circumference

First, let's calculate the central angle m/FGH in degrees:

m/FGH = 60°

Next, we need to find the circumference of the circle. We know that the radius of the circle is equal to half the length of FG:

Radius = FG/2 = 18/2 = 9 units

Circumference = 2 \(\times\) π \(\times\) Radius = 2 \(\times\) π \(\times\) 9

Now, let's substitute the values into the formula to calculate the arc length:

Arc Length = (60/360) \(\\\times\) (2 \(\times\) π \(\times\) 9)

Simplifying this expression:

Arc Length = (1/6) \(\times\) (18π) = 3π units

To round the answer to the nearest hundredth, we can substitute the value of π as approximately 3.14:

Arc Length ≈ 3 \(\times\) 3.14 ≈ 9.42 units

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Story:

There is a tank that can fill 4 liters of water. The 2/3 of the tank has been filled with water. How much liters have the tank filled with water?

Solution of story:

We know that:

Multiply both the terms to get the answer.

Solution:

Hence, 2 2/3 liters has been filled with water.

Hoped this helped.

A. person can do 2/3 of work a day how many times can he do that work in 4days?

Solution:-

Just multiply numerator with numerator and denominator with denominator.

\(\\ \tt\hookrightarrow 4\times \dfrac{2}{3}\)

\(\\ \tt\hookrightarrow \dfrac{4(2)}{3}\)

\(\\ \tt\hookrightarrow \dfrac{8}{3}\)

\(\\ \tt\hookrightarrow 2\dfrac{2}{3}\)

It should be noted that it isn't possible for the manufacturer to adjust the confidence interval to take this nonresponse into account.

It should be noted that the confidence interval measures the degree of uncertainty or certainty that is found in a sampling method.

In this case, the confidence interval shows the probability which a parameter will fall between a pair of values.

From the complete question, it's not possible to adjust the confidence interval to compensate for the bias that is inherent in the data collection method.

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Answer:

Step-by-step explanation:

c

Answer:

\(width=12\)

Step-by-step explanation:

The formula for the area of a rectangle:

\(Area=length*width\)

Insert the known values:

\(180=15w\)

Solve for w. Isolate the variable by dividing both sides by 15:

\(\frac{180}{15}=\frac{15w}{15} \\\\12=w\)

w is equal to 12, so the width of the rectangle is 12 cm.

:Done

The solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

To solve the given differential equation (DE), we can use the integrating factor method. The steps are as follows:

1. Multiply both sides of the DE by the integrating factor, which is the exponential of the integral of the coefficient of y. In this case, the coefficient of y is (x + 2), so the integrating factor is e^(∫(x+2)dx) = e^(x^2/2 + 2x).

So, we have: (x + 1) e^(x^2/2 + 2x) dy/dx + (x + 2) e^(x^2/2 + 2x) y = 2x e^(x^2/2 + 2x) e^(-xy)

2. Notice that the left-hand side of the DE is the product of the derivative of y with respect to x and the integrating factor, so we can apply the product rule of differentiation to obtain:

d/dx [ e^(x^2/2 + 2x) y ] = 2x e^(x^2/2 + 2x) e^(-xy)

3. Integrate both sides of the previous equation with respect to x to obtain:

e^(x^2/2 + 2x) y = - e^(-xy) + C

where C is the constant of integration.

4. Solve for y by dividing both sides by the integrating factor:

y = [- e^(-xy) + C] e^(-x^2/2 - 2x)

This is the general solution of the given DE.

Note that the solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

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Answer:

Option B

Step-by-step explanation:

Look at the formulas for better understanding

\(\\ \tt\longmapsto Velocity=\dfrac{Displacement}{Time}\)

\(\\ \tt\longmapsto Spped=\dfrac{Distance}{Time}\)

Both require tim but velocity require displacement and speed requires Distance

The solution to the given initial value problem, obtained using Laplace transforms, is y(x) = 0. This means that the function y(x) is identically zero for all values of x.

To find the solution of the initial value problem using Laplace transforms for the equation d²y/dx² + 9y = 9sin(t)u(t - 3), where y(0) = y'(0) = 0, we can follow these steps:

Take the Laplace transform of the given differential equation.

Applying the Laplace transform to the equation d²y/dx² + 9y = 9sin(t)u(t - 3), we get:

s²Y(s) - sy(0) - y'(0) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Since y(0) = 0 and y'(0) = 0, the Laplace transform simplifies to:

s²Y(s) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Solve for Y(s).

Combining like terms, we have:

Y(s) * (s² + 9) = 9 * (1/s² + 1/(s² + 1))

Multiply through by (s² + 1)(s² + 9) to get rid of the denominators:

Y(s) * (s⁴ + 10s² + 9) = 9 * (s² + 1)

Simplifying further, we have:

Y(s) * (s⁴ + 10s² + 9) = 9s² + 9

Divide both sides by (s⁴ + 10s² + 9) to solve for Y(s):

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9)

Partial fraction decomposition.

To proceed, we need to decompose the right side of the equation using partial fraction decomposition:

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9) = A/(s² + 1) + B/(s² + 9)

Multiplying through by (s⁴ + 10s² + 9), we have:

9s² + 9 = A(s² + 9) + B(s² + 1)

Equating the coefficients of like powers of s, we get:

9 = 9A + B

0 = A + B

Solving these equations, we find:

A = 0

B = 0

Therefore, the decomposition becomes:

Y(s) = 0/(s² + 1) + 0/(s² + 9)

Inverse Laplace transform.

Taking the inverse Laplace transform of the decomposed terms, we find:

L^(-1){Y(s)} = L^(-1){0/(s² + 1)} + L^(-1){0/(s² + 9)}

The inverse Laplace transform of 0/(s² + 1) is 0.

The inverse Laplace transform of 0/(s² + 9) is 0.

Combining these terms, we have:

Y(x) = 0 + 0

Therefore, the solution to the initial value problem is:

y(x) = 0

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The area of the rectangular cake is found as 432 cm².

As per the stated question-

Let the length of the cake be 'L'.

Then, the breadth of the cake be 'B'

L = 3B

Perimeter = 2(L + B)

96 = 2(3B + B)

96 = 8B

B = 96/8

B = 12 cm

L = 12 x 3 = 36 cm

Thus, the area becomes-

Area = Length x breadth

Area = 36 x 12

Area = 432 cm²

Thus, the area of the rectangular cake is found as 432 cm².

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Step-by-step explanation:

n dollars for 12 bicycles.

what is the factor to go from 12 to 30 ?

12×f = 30

f = 30/12 = 5/2

as it will be the same rate, if will cost 5n/2 dollars

Answer:

2823x34

Step-by-step explanation:

plz give brainluest

Answer:

the answer is 10738035.721

Answer:

65+115=180

11x+ 48=180

Step-by-step explanation:

The claim of cooking duck legs at given temperature with mean , standard deviation represents reject the null hypothesis, accept the alternative hypothesis.

Confidence level = 90%

Sample mean maximum temperature x = 182 degrees

Hypothesized population mean μ =175 degrees

Sample standard deviation s = 5 degrees)

Sample size n =12

To test the claim that employee is capable of cooking the duck legs within the required temperature range.

Set up the following hypotheses,

Null hypothesis,

The mean maximum temperature of the duck legs is equal to or greater than 175 degrees (μ ≥ 175).

Alternative hypothesis,

The mean maximum temperature of the duck legs is less than 175 degrees (μ < 175).

Testing whether the mean is less than a specific value (175 degrees), this is a one-tailed test.

To reject or fail to reject the null hypothesis,

Use a one-sample t-test with a significance level of 0.1 .

T-test statistic is ,

t = (x - μ) / (s / √n)

Plugging in the values, we get,

t = (182 - 175) / (5 / √(12))

 = 4.85

The degrees of freedom for this test is n-1 = 11.

Using a t-distribution table ( attached table) ,

Critical value for a one-tailed test with 11 degrees of freedom and a significance level of 0.1.

The critical value is 1.363.

Since the calculated t-value 4.85 is greater than the critical value (1.363).

Reject the null hypothesis at the 90% confidence level.

⇒Sufficient evidence to conclude that the mean maximum temperature of the duck legs cooked by your cook is less than 175 degrees.

Employee is not capable of cooking the duck legs within the required temperature range.

Therefore, for the given situation of confidence level of 90% reject the null hypothesis, accept the alternative hypothesis.

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