help it is for calculus

Answer: D

Step-by-step explanation:

Two hundred two =202

The thousands place is the third place=.002

Answer:

D

Step-by-step explanation:

A standard normal random variable probability is 0.0250.

The probability P(Z > 1.96)  found by subtracting the cumulative probability from 1.

Using a standard normal distribution table or calculator, find the cumulative probability corresponding to 1.96, which is approximately 0.9750.

P(Z > 1.96) = 1 - P(Z ≤ 1.96) = 1 - 0.9750 = 0.0250.

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1. We see 5 different terms .

2. 5m

3. 4p

4. 3

5. m , p

6. -2, 4, 5, 3

Answer:

Step-by-step explanation:

1. 5 (-2m, 4p, 5m, -1p, 3)

2. -2m and 5m are like terms.

3. -p and 4p are like terms

4. 3 is the constant

5. The variables are m and p

6. The coefficients are -2, 4, 5, -1

Hope this helps!

The 93% confidence interval for the difference between the commuting times via Path A and Path B is (-0.575, 0.175) minutes.

(a) The 93% confidence interval for the difference between the commuting times via Path A and Path B is calculated to be (-0.575, 0.175) minutes.

To construct the confidence interval, we can use the following formula:

Confidence Interval = (sample mean A - sample mean B) ± (critical value * standard error)

First, let's calculate the sample mean difference and the standard error of the difference:

Sample Mean Difference = sample mean A - sample mean B = 10.4 - 10.2 = 0.2 minutes

Standard Error = sqrt((std dev A^2 / n A) + (std dev B^2 / n B))

Given the data, std dev A = 1.1, n A = 38, std dev B = 0.9, n B = 35.

Plugging in the values:

Standard Error = sqrt((1.1^2 / 38) + (0.9^2 / 35)) ≈ 0.166

Now we need to determine the critical value associated with a 93% confidence level. Since we have a two-tailed test, we divide the significance level (1 - confidence level) by 2 to find the tail area. Looking up this value in the t-distribution table with degrees of freedom (df) = n A + n B - 2 = 38 + 35 - 2 = 71, we find the critical value to be approximately 1.997.

Substituting the values into the confidence interval formula:

Confidence Interval = 0.2 ± (1.997 * 0.166)

Simplifying:

Confidence Interval ≈ (-0.575, 0.175)

Therefore, the 93% confidence interval for the difference between the commuting times via Path A and Path B is (-0.575, 0.175) minutes.

(b) Based on the confidence interval, Ömer cannot claim that Path A is shorter than Path B. The confidence interval contains zero, which means that the difference between the average commuting times of Path A and Path B could be positive (Path B is shorter) or negative (Path A is shorter). Since zero is within the confidence interval, there is not enough evidence to support the claim that Path A is shorter than Path B at a 93% confidence level.

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Deepak can create 456,976 different passwords using letters from the alphabet, a-z. To calculate the total number of different passwords, we multiply the number of options for each position together.

To determine the number of different passwords Deepak can create, we need to consider the number of options for each position in the password. Since the password is four letters long and can have repeated letters, there are 26 options (a-z) for each position.

To calculate the total number of different passwords, we multiply the number of options for each position together. Since each position has the same number of options, we raise 26 to the power of 4.

Mathematically, this can be written as 26⁴ = 456,976.

Therefore, Deepak can create 456,976 different passwords using letters from the alphabet, a-z.

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Answer:

\( \fbox{\bf \red{Negative}}\)

(a) The equation we would use to solve this problem is x = P+L.

(b) The total amount he have in the account before he wrote the check (x) = $750.

In the given question, after writing a $500 check to pay a bill, a student had a balance of $350 in his account.

Student pay a bill (P)=$500

Left amount in his pocket (L)=$350

(a) We have to write the equation we would use to solve this problem.

Let the total amount he have in the account before he wrote the check=x

According to statement:

His balance before writing the check = After writing a check to pay a bill + Left amount in his pocket

x = P+L ……(i)

(b) Now we have to solve our equation his starting balance was $.

Putting the value in the equation:

x = $500+$350

x = $850

So, the total amount he have in the account before he wrote the check (x) = $750.

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Answer:

1) C

Step-by-step explanation:

Step 1)

First we have to plot ↓

2x ≥ y + 2

And that looks like Image 1

Step 2)

Second we have to plot ↓

2x - 5y ≤ 10

and that looks like Image 2

Answer: 0.2 meters

Step-by-step explanation:

The following formula can be used to determine a sound wave's wavelength:

= v/f, where f is the frequency of the sound wave and v is the velocity or speed of sound.

The speed of sound in the air is 340 m/s, and the frequency of the sound wave in this problem is 1,700 Hz. Therefore, by adding these values to the formula, we obtain:

The sound wave's wavelength is therefore 0.2 meters because = v/f = 340/1700.

The equivalent of 0.85 hectogram (hg) is 850 decigram (dg)

The measure is given as:

0.85 hg

As a general rule:

1 hectogram (hg) = 1000 decigram (dg)

So, multiply both sides of the above equation by 0.85

So, we have:

0.85 * 1 hectogram (hg) = 0.85 * 1000 decigram (dg)

Evaluate the product

0.85 hectogram (hg) = 850 decigram (dg)

Hence, the equivalent of 0.85 hectogram (hg) is 850 decigram (dg)

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The solution of the given fraction can be gotten through filling the boxes with the following values respectively;

8/100 + 9/10 = 98/100

A fraction is defined as the representation of a part of a whole value in the form of a numerator and denominator.

The given fraction;

8/100 + 9/10 = ?

Find the lowest common multiple of the denominator = 100.

= 8/100 + 9/10

= 8 + 90/100

= 98/100

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Answer:

9) x = 5

10) x = 4

Step-by-step explanation:

a^2 + b^2 = c^2

9) 6^2 + x^2 = 8^2

  - 36 + x^2 = 64

  -  36            - 36

_______________

           x^2 = 28

Square root them

Squareroot x^2 is x

Square root 28 is 5.29 round is 5

so x = 5

*Correct me if im wrong*

10) 3^2 + x^2 = 5^2

     9 + x^2 = 25

  -  9              - 9

____________________

             x^2= 16

Square root them

square root of x ^2 is x and square root of 16 is 4

so x = 4

To find the Laplace transform ℒ{f(t)} of the function f(t) = (et − e^(-t))^2, we can use Theorem 7.1.1, which states that ℒ{t^n} = n! / s^(n+1), where n is a non-negative integer.

Using this theorem, we can simplify the function as follows:

f(t) = (et − e^(-t))^2

= e^2t - 2e^t * e^(-t) + e^(-2t)

= e^2t - 2 + e^(-2t)

Now, let's apply the Laplace transform:

ℒ{f(t)} = ℒ{e^2t - 2 + e^(-2t)}

Using the linearity property of the Laplace transform, we can compute the transform of each term separately:

ℒ{e^2t} = 1 / (s - 2) (using ℒ{e^at} = 1 / (s - a))

ℒ{-2} = -2 / s (using ℒ{1} = 1 / s)

ℒ{e^(-2t)} = 1 / (s + 2) (using ℒ{e^(-at)} = 1 / (s + a))

Now, combining the individual transforms, we have:

ℒ{f(t)} = 1 / (s - 2) - 2 / s + 1 / (s + 2)

Therefore, the Laplace transform of f(t) is ℒ{f(t)} = 1 / (s - 2) - 2 / s + 1 / (s + 2), expressed as a function of s.

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The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

To solve the quadratic equation 3x^2 - 9x - 12 = 0, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a),

where a, b, and c are the coefficients of the quadratic equation.

In this case, a = 3, b = -9, and c = -12. Substituting these values into the quadratic formula, we have:

x = (-(-9) ± √((-9)^2 - 4 * 3 * (-12))) / (2 * 3)

= (9 ± √(81 + 144)) / 6

= (9 ± √(225)) / 6

= (9 ± 15) / 6.

We have two possible solutions:

For the positive root:

x = (9 + 15) / 6

= 24 / 6

= 4.

For the negative root:

x = (9 - 15) / 6

= -6 / 6

= -1.

The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.

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The tree from which the wood was obtained died 13,729 years ago, considering the exponetial function that models the situation.

The standard definition of an exponential function is given by the equation presented as follows:

\(A(t) = A(0)b^{\frac{t}{n}}\)

The parameters of the exponential function with format above are given as follows:

The half-life of carbon-14 is 5,730 years, hence the parameters b and n have the values given as follows:

b = 0.5, n = 5730.

Then the exponential function for the amount of the substance after t years is given as follows:

\(A(t) = A(0)(0.5)^{\frac{t}{5730}}\)

19% of the substance remained, hence the time is obtained as follows:

\(0.19A(0) = A(0)(0.5)^{\frac{t}{5730}}\)

\((0.5)^{\frac{t}{5730}} = 0.19\)

t = 5730 x log(0.19)/log(0.5)

t = 13,729 years.

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Answer:

x = 6, y =3

Step-by-step explanation:

4x-7y=3

x-7y=-15

Multiply the first equation by -1

-4x+7y=-3

Then add this to the second equation to eliminate y

-4x+7y=-3

x-7y=-15

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

-3x +0y = -18

-3x = -18

Divide by -3

-3x/-3 = -18/-3

x = 6

Now find y

x -7y = -15

6 -7y = -15

Subtract 6 from each side

6-7y-6 = -15-6

-7y = -21

Divide by -7

-7y/-7 = -21/-7

y =3

The height of the cat is solved to be

4 m

This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent

Examining the figure shows that pair of equivalent sides are

distance of the tree and the cat from the mirror

then height of the tree and height of the cat

The solution is worked out taking the proportions

distance of the tree from the mirror / distance of the cat from the mirror

=

height of the tree / height of the cat

plugging in the values

24/6 = 16 / height of the cat

height of the cat  = 16 * 6 / 24

height of the cat  = 4 m

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When one point of the diameter touches the circle at (-3,1) and the other point touches the circle at (3,-7) that is these are endpoints of diameter. Then the radius of this circle is equals to the 5 units.

Radius of a circle is defined as the distance from the center of the circle to any arbitrary point on it's circumference. It is generally represented by symbol 'R' or 'r'. When the diameter of a circle is known, the formula for Radius, R= Diameter/2. We have specified two endpoints, i.e., (-3,1),(3,-7) of a diameter of a circle. Let the radius of circle be 'r '. We have to determine the value of r that is radius of circle. From the above definition we can say that radius is half of length of diameter. So, first we calculate the length of diameter of circle. Using the distance formula, the distance between two points is written as, \(d = \sqrt{(x_2-x_1)²+(y_2-y_1)²}\)

So, the distance between two points (-3,1),(3,-7) is \(d = \sqrt{ ( 3-(-3))²+(-7 -1)²}\)

=> \(d = \sqrt{6²+8²} =\sqrt{ 36 + 64}\)

=> d = 10 units

so, length of diameter of circle is 10 units. Now, by definition of radius, the radius of circle is half of diameter. Thus, the required value of radius, r is 5 units (10/2).

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The points on the graph at which the tangent line is horizontal are:

(-1.414, 4.886) and (1.414, 1.114).

Since the horizontal tangent is parallel to the x-axis, its slope, or derivative, should also have a value of 0 at the tangent point. This is the key concept for finding the point on the graph where the tangent line is horizontal.  

The function is given as:

y = ¹/₃x³ - 2x + 3

The tangents are horizontal where the derivative is zero. The derivative of the given function is:

y' = x² -2

This is zero when:

0 = x² -2

2 = x²

x  = ±√2 . . . x-values where the derivative is zero

The corresponding y-values are:

y = (¹/₃x² - 2x + 3)

 y = (¹/₃(2) - (2(±√2)) + 3

The turning points are (-1.414, 4.886) and (1.414, 1.114).

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Complete question is:

For the function, find the points on the graph at which the tangent line is horizontal. If none exist, state that fact.

y = ¹/₃x³ - 2x + 3

To find the points on the graph at which the tangent line is horizontal, we need to find the x-values where the derivative of the function is equal to zero.

To find the points on the graph at which the tangent line is horizontal, we need to find the x-values where the derivative of the function is equal to zero. The derivative represents the rate of change or slope of the function at any given point.

Let's say we have a function f(x). To find the derivative of f(x), we differentiate the function with respect to x. The resulting derivative function is denoted as f'(x) or dy/dx.

Next, we set the derivative function f'(x) equal to zero and solve for x. The x-values obtained from this equation represent the points on the graph where the tangent line is horizontal.

If there are no solutions to the equation f'(x) = 0, it means there are no points on the graph where the tangent line is horizontal.

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The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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Answer:

B

Step-by-step explanation:

3x + 7y = - 49 → (1)

10x - 7y = - 42 → (2)

adding (1) and (2) term by term will eliminate y

13x + 0 = - 91

13x = - 91 ( divide both sides by 13 )

x = - 7

substitute x = - 7 into either of the 2 equations and solve for y

substituting into (1)

3(- 7) + 7y = - 49

- 21 + 7y = - 49 ( add 21 to both sides )

7y = - 28 ( divide both sides by 7 )

y = - 4

solution is (- 7, - 4 ) → B

Answer:

x = 9/2

Step-by-step explanation:

Answer:

x = \(\frac{9}{2}\)

Step-by-step explanation:

Given

5(2x + 1) = 50 ( divide both sides by 5 )

2x + 1 = 10 ( subtract 1 from both sides )

2x = 9 ( divide both sides by 2 )

x = \(\frac{9}{2}\)

Answer:its a lot of money

Step-by-step explanation:

Answer: it should be B

Answer:

Hey there! The answer to your question is below.

Step-by-step explanation:

The answer would be f(4) = -11, g(x) = 2    x = 0

I attached a picture below, sorry for my bad handwriting.

By xBrainly

Answer:

Step-by-step explanation:

The area of a right triangle is A=(1/2)base*height

A=(1/2)(b)(h)

200ft²=(1/2)(10ft)h

200ft²=5ft(h)

40ft=h

Using Pythagorean Theorem for a right triangle a²+b²=c²

a²+b²=c²

(40ft)²+(10ft)²=c²

1600ft²+100ft²=c²

1700ft²=c²

√(1700ft²)=c

10√17=c

41.231056256=c

41.2≅c

The abbreviation CD stands for "Compact Disc."

A compact disc is a small, portable, round disc that is used for storing and playing back digital audio, video, and other types of data. It was introduced in the early 1980s as a replacement for vinyl records and cassette tapes.

A CD is made up of a polycarbonate plastic layer that is coated with a reflective metal layer and protected by a clear plastic layer. Information is stored on the disc in the form of tiny pits and lands that are read by a laser beam in a CD player or computer CD-ROM drive.

CDs have a storage capacity of up to 700 MB, which allows for around 80 minutes of audio or several hours of compressed video. They are commonly used for storing music albums, software programs, and other types of multimedia content.

In addition to audio CDs, there are also CD-ROMs (read-only memory), CD-Rs (recordable), and CD-RWs (rewritable). CD-ROMs are pre-recorded discs that cannot be modified, while CD-Rs and CD-RWs can be burned or written with data by the user. CD-Rs can only be written once, while CD-RWs can be erased and re-written multiple times.

Overall, the abbreviation CD refers to the Compact Disc, a versatile medium for storing and playing back digital data.

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