Jason drove 1,080 miles in 20 hours. What was his speed in miles per hour?
Group of answer choices

0.2 miles per hour

54 miles per hour

10 miles per hour

24 miles per hour

Answer:

y-4=1/5(x-7)

Step-by-step explanation:

First, you need to find the slope of the line. From the point (2,3) to the point (7,4), the line rises 1 unit while moving sideways 5. Therefore, the slope of the line is 1/5. Hence, the equation of the line is y-4=1/5(x-7). Hope this helps!

(a)Given differential equation is:d²y/dt² + 6 dy/dt +9y = cos t Where y(0)=1 and y′(0)=2.Let’s take the Laplace transform of both sides of the equation:d²y/dt² + 6 dy/dt +9y = cos tLaplace transform of the above equation is:L{d²y/dt²}+6L{dy/dt}+9L{y}=L{cos t} Where L{y}= Y(s), L{dy/dt}= sY(s)-y(0) and L{d²y/dt²}= s²Y(s) -sy(0)-y'(0) Laplace transform of the given function cos(t) is given by:L{cos t} = s/(s² + 1)

Therefore, the Laplace transform of the given differential equation is:s²Y(s)-sy(0)-y'(0)+6(sY(s)-y(0))+9Y(s)=s/(s²+1)Substituting y(0)=1, y′(0)=2, and solving for Y(s), we get:Y(s) = (s+1)/(s²+4s+8)(b)We have, Y(s) = (s+1)/(s²+4s+8)Let’s factorize the denominator of the above equation by completing the square:s²+4s+8 = (s+2)²+4Therefore,Y(s) = (s+1)/( (s+2)²+4)Let's first use a table of Laplace transforms and take the inverse Laplace transform of Y(s), we get:y(t) = e^{-2t} (cos2t - sin2t) + e^{-2t} + (1/2)cos(t)Therefore, the functions of time that will appear in the solution are e^{-2t}, cos2t, sin2t and cos(t).

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The integral for the mass of a thin wire in the shape of a parabola density is \(\int[-1,1]\int[0,x^2] x^2 y^2 dy dx\)

To find the mass of the thin wire in the shape of a parabola with density function ρ(x, y) = \(x^2 y^2\),

we can set up a double integral over the region that describes the parabola. The mass M is given by the following integral:

M = ∬ρ(x,y) dA

where dA represents the area element in the xy-plane. To set up this integral, we need to first determine the limits of integration for x and y.

The parabola can be described by the equation y =\(x^2\), where x ranges from -1 to 1. Therefore, the limits of integration for x are -1 to 1.

For each value of x, the y-values range from the parabola to the x-axis, which is the region between y = 0 and y = \(x^2\). Therefore, the limits of integration for y are 0 to\(x^2\).

Using these limits of integration, the integral for the mass of the thin wire is:

M = ∫∫ρ(x,y) dA

=\(\int[-1,1]\int[0,x^2] x^2 y^2 dy dx\)

This integral can be evaluated using standard integration techniques.

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-12 and 2

-12×2= -24

-12+2= -10

Answer:

6) 60°

7) 24.25°

8) 28°

Step-by-step explanation:

I’m not 100% sure but hope this helps.

Answer:

6. u = 60

7. 24.25°

8. 28°

Step-by-step explanation:

6. First we know that a triangle is 180 degrees. So we would do 30+90+u=180

120+u=180

-120    -120

u = 60

Answer:

\(\frac{1}{4}\)

Step-by-step explanation:

The multiplicative inverse of 4 is 1/4.

Answer:

1/4

Step-by-step explanation:

Multiplicative inverse is another meaning for reciprocal. The reciprocal of 4 is 1/4

The area of the semicircle is 39.275 square cm

From the question, we have the following parameters that can be used in our computation:

Diameter = 10 cm

Start by calculating the radius of the semicircle

So, we have the following representation

radius = Diameter/2

This gives

radius = 10/2

Evaluate

radius = 5

The area of the semicircle is then calculated as

Area = πr²/2

So, we have

Area = 3.142 * 5²/2

Evaluate

Area = 39.275

Hence, the area is 39.275 square cm

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Step-by-step explanation:

When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side! This is why you must flip the sign whenever you multiply by a negative number.

In the given function, m(h) = 300 * (3/4) * h, the variable h represents the number of hours after the medicine is administered.

To find the value of m(0.5), we substitute h = 0.5 into the function:

m(0.5) = 300 * (3/4) * 0.5

Simplifying the expression:

m(0.5) = 300 * (3/4) * 0.5

= 225 * 0.5

= 112.5

Therefore, m(0.5) represents 112.5 milligrams of the medicine in the patient's body after 0.5 hours since the medicine was administered.

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Answer:

14 ft.

Step-by-step explanation:

First, we will assign variables to each value. If height is h, and base is b, then

1/2bh = 112 and h=b+2.

We will use substitution in this system of equations. first, we will isolate the b in bh/2=112. To do this we will multiply both sides by 2 to isolate the variables, so bh=224. Then, to isolate just one variable, in this case, b, we will divide 224 by h, getting us b=224/h.

Then, we will substitute b for this value in h+2=b, leaving us with h+2=224/h

Then isolate the variable. h will equal either -14 or 16. Because this is a geometric shape, the value of its sides cannot be negative, so it has a height of 16.

Then, plug this into the second equation. If the height is 2 ft more than the base, then the base will be 14 ft.

Answer:

-2

Step-by-step explanation:

The coordinate of a point that divides a line AB in a ratio a:b from A(\(x_1,y_1\)) to B(\(x_2,y_2\)) is given by the formula:

\((x,y)=(\frac{bx_1+ax_2}{a+b} ,\frac{by_1+ay_2}{a+b} )=(\frac{a}{a+b}(x_2-x_1)+x_1 ,\frac{a}{a+b}(y_2-y_1)+y_1 )\)

Given that a line JK, with  Point J is at ( -6, - 2) and point K is at point (8, - 9) into a ratio of 2:5. The x coordinate is given as:

\(x=\frac{2}{2+5} (8-(-6))+(-6)=\frac{2}{7}(14) -6=4-6=-2\)

Line segments can be divided into equal or unequal ratios

The x coordinate of the segment is -2

The coordinates of points J and K are given as:

\(J = (-6,-2)\)

\(K = (8,-9)\)

The ratio is given as:

\(m : n =2 : 5\)

The x-coordinate is then calculated using:

\(x = (\frac{m}{m + n }) (x_2 - x_1) + x_1\)

So, we have:

\(x = (\frac{2}{2 + 5 }) (8 - -6) -6\)

\(x = (\frac{2}{7}) (14) -6\)

Expand

\(x = (2) (2) -6\)

Open bracket

\(x = 4 -6\)

Subtract 6 from 4

\(x = -2\)

Hence, the x coordinate of the segment is -2

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Using it's definition, the probabilities are given as follows:

The probability of an event in an experiment is calculated as the number of desired outcomes in the context of the experiment divided by the number of total outcomes in the context of the experiment.

The total number of bulbs in this problem is given as follows:

6 + 9 + 5 = 20.

Six of them are red, hence the probability of a red bulb is:

p = 6/20 = 0.3 = 30%.

Nine of them are blue, hence the probability of a blue bulb is:

p = 9/20 = 0.45 = 45%.

Five of them are green, hence the probability of a green bulb is:

p = 5/20 = 0.25 = 25%.

The probability of a red or blue bulb is:

p = 0.3 + 0.45 = 0.75.

The probability of a blue or green bulb is:

p = 0.45 + 0.25 = 0.6.

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Answer:

Answer = B.19.25

Step-by-step explanation:

(4x-6)=71

4x=71+6

4x=77

x=77÷4

x=19.25

2 2/3 of a fraction

________________

2 full and 2/3

- Jackson

Answer:

(-3,0)

Step-by-step explanation:

2x-3+0=-6

Answer:

2 : 3

Step-by-step explanation:

\( \huge\frac{ \frac{2}{7} }{ \frac{3}{7} } = \frac{2}{7} \times \frac{7}{3} = \frac{2}{3} = 2 : 3 \\ \)

Answer:

3

Step-by-step explanation:

75/15=

             __3_________

   15    /   75

          -    75

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

                   0

Have a great day

For a triangle with base of 10 inches and altitude of 16 inches, its area will be 80 in² (third option).

Calculation For the Area of the Triangle:

It is given that,

The base of the triangle, B = 10 inches

The altitude from the base of the triangle or height, H = 16 inches

Now, the formula used for finding the area of a triangle is given as follows,

Area, A = (1/2) × B × H

Substituting the given values of B and H in the above formula for area, we get,

A = (1/2) × (10 inches) × (16 inches)

A = 5 × 16 inches²

A = 80 inches²

Thus, the area of the triangle have base 10 inches and altitude 16 inches is 80 square inches.

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Answer:

The term population refers to the total number of organisms/people occupying specific area is known as population.

Number of students interested in only cloud computing: A - 215

Number of students interested in only machine learning: B - 177

Number of students interested in only home/city automation: C - 201

Number of students interested in none of these topics: 368 - (A + B + C - 234)

To determine the number of students interested in only cloud computing, machine learning, home/city automation, and none of these topics, we can use the principle of inclusion-exclusion.

Let's denote:

A = Number of students interested in cloud computing

B = Number of students interested in machine learning

C = Number of students interested in home/city automation

We are given the following information:

A ∩ B = 133 (interested in both cloud computing and machine learning)

A ∩ C = 157 (interested in both cloud computing and home/city automation)

B ∩ C = 119 (interested in both machine learning and home/city automation)

A ∩ B ∩ C = 75 (interested in all three topics)

We can calculate the number of students interested in only cloud computing using the formula:

(A - (A ∩ B) - (A ∩ C) + (A ∩ B ∩ C))

Substituting the given values:

(A - 133 - 157 + 75) = A - 215

Similarly, we can calculate the number of students interested in only machine learning and only home/city automation:

(B - 133 - 119 + 75) = B - 177

(C - 157 - 119 + 75) = C - 201

Finally, to find the number of students interested in none of these topics, we subtract the total number of students interested in any of the topics from the total number of students who responded to the poll:

Total students - (A + B + C - (A ∩ B) - (A ∩ C) - (B ∩ C) + (A ∩ B ∩ C))

Substituting the given values:

368 - (A + B + C - 133 - 157 - 119 + 75) = 368 - (A + B + C - 234)

Now, let's calculate the values:

Number of students interested in only cloud computing: A - 215

Number of students interested in only machine learning: B - 177

Number of students interested in only home/city automation: C - 201

Number of students interested in none of these topics: 368 - (A + B + C - 234)

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Answer:

B

Step-by-step explanation:

B because your a biss

Answer:

3rd one im pretty sure

Step-by-step explanation:

The area of rectangle B is 256 cm²

The area occupied by a rectangle within its boundary is called the area of the rectangle.

Thus, the formula for the area, 'A' of a rectangle whose length and width are 'l' and 'w' respectively is the product

Area of rectangle= length  × width.

It is given that the dimensions of rectangle B are twice times the dimensions of rectangle A.

Let dimensions of rectangle B are l× B.

Area of rectangle is

A= length *  breadth

Area of rectangle A = 128

So, Area of rectangle B

=2( l * B)

= 2l* 2B

=2( l * B)

=2 * 128

= 256 cm²

Hence, the area of rectangle B is 256 cm²

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Answer:

C is not a function but D is

Step-by-step explanation:

For one input, you can only have one output for this to be a function. For table C, the input of 4 has 4 different outputs, so it cannot be a function.

D is a function however, because each input has only one output, even if the output is the same number.

Answer:

1024

Step-by-step explanation:

4x4= 16

8x8= 64

sqrt4 x sqrt8

The square root of 4 is 2.

The square root of 8 is 2.83.

2x2.83=5.66

hope it helps!

To be effective, staff will need to perceive the change agent hired by the home health agency as credible, trustworthy, and capable of bringing positive change to the organization.

The success of any change initiative depends greatly on how the change agent is perceived by the staff. In this case, the expert in financial management needs to be seen as credible and trustworthy, both personally and professionally, by the members of the small community in which the home health agency operates.

Credibility is essential for the staff to have confidence in the change agent's knowledge and expertise in financial management. They need to believe that the expert has the necessary interest and qualifications to accurately evaluate the agency's financial situation and propose an effective plan to reverse the growing expenses and decreasing revenues.

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For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, the process is still "in order," while for the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}, the process might be "out of order."

To determine whether the process is still "in order" or "out of order," we can compare the current sample of output to the known mean and standard deviation of the process.

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}:

Calculate the sample mean by summing up all the values in the sample and dividing by the number of values (n = 10):

Sample mean = (2.038 + 2.054 + 2.053 + 2.055 + 2.059 + 2.059 + 2.009 + 2.042 + 2.053 + 2.047) / 10 = 2.048.

Compare the sample mean to the known process mean (2.050):

The sample mean (2.048) is very close to the process mean (2.050), indicating that the process is still "in order."

Calculate the sample standard deviation using the formula:

Sample standard deviation = sqrt(sum((x - mean)^2) / (n - 1))

Using the formula with the sample values, we find the sample standard deviation to be approximately 0.019 liters.

Compare the sample standard deviation to the known process standard deviation (0.020):

The sample standard deviation (0.019) is very close to the process standard deviation (0.020), further supporting that the process is still "in order."

For the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}:

Calculate the sample mean:

Sample mean = (2.022 + 1.997 + 2.044 + 2.044 + 2.032 + 2.045 + 2.045 + 2.047 + 2.030 + 2.044) / 10 ≈ 2.034

Compare the sample mean to the process mean (2.050):

The sample mean (2.034) is noticeably different from the process mean (2.050), indicating that the process might be "out of order."

Calculate the sample standard deviation:

The sample standard deviation is approximately 0.019 liters.

Compare the sample standard deviation to the process standard deviation (0.020):

The sample standard deviation (0.019) is similar to the process standard deviation (0.020), suggesting that the process is still "in order" in terms of variation.

In summary, for the first sample, the process is still "in order" as both the sample mean and sample standard deviation are close to the known process values.

However, for the second sample, the difference in the sample mean suggests that the process might be "out of order," even though the sample standard deviation remains within an acceptable range.

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Answer:

B

Step-by-step explanation:

if the temp is at 7 then drop seven, the answer is 0

Let individual invest P in account.

The formula for the amount is,

Determine the value of P for A = 10,000, r = 6.4% anf t = 5.

Thus individual invest $7333.2 in account to buy car in five years.

Answer:

11(13)=143

Step-by-step explanation:

i divided 143 with 11 and got 13

your welcome for the help :D