Write an equation of the line that passes through (0,4) and (1,2).

The correct option (a) 2000, is the miles are driven on each tire.

For the stated question-

Miles are driven on each tire = Total distance/number of tires.

Miles are driven on each tire = 10000/5

Miles are driven on each tire = 2000

Thus, the number of miles are driven on each tire is 2000 miles.

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Answer:

38miles/hour

Step-by-step explanation:

Speed = Distance/Time

According to the question:

Time = 0.75hr

Distance = 28.5

Hence,

Speed = 28.5/0.75

= 38 miles/hr

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In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

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Answer:

10

Step-by-step explanation:

18-8=10

Answer:

$100.25

Step-by-step explanation:

To figure this out we can write a really simple equation! to start we're going to identify our variables: in this case we'll make \(T\) for total, \(c\) for the amount of copper, \(a\) for the amount of aluminum, and \(p\) for the amount of plastic. We can then create this equation to represent the sum of the amount of material times the value. This equation will look like this: \(T=1.48c+1.55a +.30p\)

Now that we have an equation written out, we can plug in the amount of each material to get \(T=1.48(50)+1.55(15)+.30(10)\). We can then simplify this by following PEDMAS and multiplying to get \(T=74+23.25+3\) and then all we have left is to add to get \(T=100.25\)

After evaluating the limit we get the answer as 3/5.

Given the expression is : limₓ₋₋₎₀ cos 2x ₋ cos 4x/1-cos2xcos4x

= limₓ₋₋₎₀  cos2x - (2cos²2x ₋ 1)/1-cos2x(2cos²2x - 1)

= limₓ₋₋₎₀  -2cos² + cos2x +1/₋2cos³2x + cos2x + 1

let u =cos2x that is, u → 0

= limu₋₋₎₁  -2u²+u+1/₋2u³+u+1

= limu₋₋₎₁  2u + 1/2u²+2u+1

= 2+1/2×1² + 2 × 1 +1

= 3/2+2+1

= 3/5

hence we get the value as 3/5.

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Answer:

x= 12

Step-by-step explanation:

Hope u understood it

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Answer:

154.1 approximately

Step-by-step explanation:

If the 27% of a number is 57 (let x represent the 73%)

Then to find the 73% we use the following equation

57/x = 27/73 cross multiply expressions

4161 = 27x divide both sides by 27

154.1 = x

The expression for the length of fencing using only two terms is 2(x + y + 2)

From the question, we are to write an expression for the length of the fencing using only two terms

We can write the expression for the length of the fencing using only two terms by factoring out the common factor of 2 from both terms.

The length of the West wall is 2x + 2, and the length of the North wall is 2y. So the total length of fencing required is:

2(2x + 2) + 2(2y)

Simplifying this expression, we can factor out the common factor of 2:

2(x + 1 + y + 1)

= 2(x + y + 2)

Hence, the expression for the length is 2(x + y + 2).

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Answer:

Time spent on volleyball coaching = 3 hours

Time spent on soccer coaching  = 7 hours

Step-by-step explanation:

    a)  Total hours = 10 hours

                 v + s = 10 --------------(I)

                  Twice of volleyball practice = 2*v = 2v

                   1 hour more than '2v' = 2v + a

                       s = 2v + 1 -------------------(II)

b) Solve:

          Substitute s = 2v + 1 in equation (I)

              v + 2v + 1 = 10

Combine like terms,

                         3v + 1 = 10

Subtract 1 from both sides,

                                3v = 10 - 1

                                3v = 9

Divide both sides by 3,

                                   v = 9 ÷ 3

                                   \(\boxed{\bf v = 3}\)

substitute v= 3 in equation (II),

                       s = 2*3 + 1

                          = 6 + 1

                       \(\boxed{\bf s = 7}\)

Time spent on volleyball coaching = 3 hours

Time spent on soccer coaching  = 7 hours

Answer:

option c is the right answer

Step-by-step explanation:

x+8=3x                                                                                                                             or,8=3x-x                                                                                                                                                                                                                                                 or,8=2x                                                                                                                                                                            Therefore,x=4

The 4 possible solutions in the context of the problem are (0, 8), (3, 6), (6, 3), and (9, 2)

Given the equation that models the situation expressed as:

4x + 6y = 48

We are to find 4 possible solutions for x and y. Note that the values of x and y must be integers.

If there are no cars i.e. at when x = 0

4(0) + 6y = 48

0 + 6y = 48

6y = 48

y = 48/6

y = 8

One of the solution is (0, 8)

If there are 3 cars, i.e. at when x = 0

4(3) + 6y = 48

12 + 6y = 48

6y = 48 - 12

y = 36/6

y = 6

The second solution will be (3, 6)

If there are 6 cars, i.e. at when x = 6

4(6) + 6y = 48

24 + 6y = 48

6y = 48 - 24

y = 24/6

y = 4

The third solution will be (6, 3)

If there are 9 cars, i.e. at when x = 9

4(9) + 6y = 48

36 + 6y = 48

6y = 48 - 36

y = 12/6

y = 2

The fourth solution will be (9, 2)

Hence the 4 possible solutions in the context of the problem are (0, 8), (3, 6), (6, 3), and (9, 2)

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The cubic root function h(x) = 2 · ∛(x - 10) + 4 has an x-intercept at x = 2.

In this question we have a cubic root function defined as h(x) = 2 · ∛(x - 10) + 4. The domain for cubic root functions are usually all real numbers as cubic roots can both positive and negative numbers.

The x-intercept of the function is refered to any point of the function that is on the x-axis. First, write the entire expression:

h(x) = 2 · ∛(x - 10) + 4

Second, equalize the equation to zero:

2 · ∛(x - 10) + 4 = 0

Third, clear the variable x:

2 · ∛(x - 10) = - 4

∛(x - 10) = - 2

x - 10 = - 8

x = 2

The x-intercept of the cubic root function h(x) = 2 · ∛(x - 10) + 4 is 2.

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Answer:

Its 2, got it right on exam.

Step-by-step explanation:

Answer:

The nervous system helps the respiratory system by sending messages to the diaphragm to contract, which is essential for breathing. The diaphragm is a muscle that separates the chest cavity from the abdominal cavity and is responsible for inhaling and exhaling. The nervous system sends signals to the diaphragm to contract, causing it to move downward and expand the lungs during inhalation. During exhalation, the diaphragm relaxes and moves upward, pushing air out of the lungs. Therefore, the nervous system plays a critical role in regulating the diaphragm's movements, ensuring proper oxygenation of the blood, and removal of carbon dioxide from the body.

Relative frequency can be defined as the number of times an event occurs divided by the total number of events occurring in a given scenario. The formula is given to be:

where f is the number of times the data occurred and n is the total number of observations.

We have the frequency of the individual groups as shown below:

The total number of observations is 19.

Therefore, the relative frequencies are calculated below:

ANSWER

T

Answer:

X is positive

Y is negative

Step-by-step explanation:

Just take the cos of angle - 60 for X

and also take the sin of angle - 60 for Y

You will find x positive, and y negative

Graphically, the two lines will appear as two distinct lines running parallel to each other, never intersecting.

Mathematical statements known as algebraic rules connect two variables and are expressed as equations. One of the algebraic constants is area = length x width. As a result of a set of factors, you can also develop your own rule.

To solve the system of equations:

3x - 2y = 8

6x - 4y = 12

We can simplify the second equation by dividing both sides by 2:

3x - 2y = 8

3x - 2y = 6

Now we can see that the two equations represent two parallel lines with the same slope (-3/2) and different y-intercepts (4 and 3).

Since the two lines are parallel, they will never intersect and therefore there is no solution to the system of equations.

Graphically, the two lines will appear as two distinct lines running parallel to each other, never intersecting.

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Answer:

3

Step-by-step explanation:

444444444444

The Solution for the given quadratic equation is Cosx = 1 and Cosx = -3 .

In the question ,

it is given that ,

the quadratic equation is cos²x + 2 cosx - 3 = 0 ,

let cosx = a ,

So , the equation becomes , a² + 2a - 3 = 0

writing the factors using the splitting the middle term method ,

we get ,

a² \(+\) 3a -a - 3 = 0

a(a + 3) -1(a \(+\) 3) = 0

(a - 1)(a \(+\) 3) = 0

which means a - 1 = 0      or    a + 3 = 0

a \(=\) 1    or     a \(=\) -3 ,

Substituting a = cosx , we get

cosx \(=\) 1   or cosx \(=\) -3 ,

Therefore , The Solution for the given quadratic equation is Cosx = 1 and Cosx = -3 .

The given question is incomplete , the complete question is

Solve the given quadratic equation for Cosx , cos²x + 2 cosx - 3 = 0 .

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I'm not sure about the answer but I think it's a and b

Answer:

Step-by-step explanation:

From the parallel lines, we know that corresponding angles are congruent, so:

(2y+78) = X

We also know that vertically opposite angles are equal:

X=5y

Substitute for X:

2y+78=5y

Solve:

2x-5x=-78

-3x=-78

x=26

Therefore, the measure of angle WXZ is 26.

The average hours per day spent watching TV among all students at the school. It only mentions a survey conducted on smartphone ownership among 50 students at the school .

To determine the average hours per day spent watching TV among all students, a separate survey or study would need to be conducted.he sample size of 50 is relatively small, so the confidence interval may be wider than if a larger sample was used. The confidence level of 95% means that if 100 independent samples were drawn from the population, 95 of the intervals would contain the true population proportion of smartphone ownership.

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Answer:

Given the equations, I plotted 2 lines.

Line 1               Line 2

 x  |  y                x  |  y  

 0  | 101             0  |  -5

  1  |  101             1  |  -6

Answer:

Step-by-step explanation:

A⊂B

The general form of the equation Kareem can use to represent the data include the following: B. y = ab^x.

Generally speaking, an equation is a linear equation when the first difference between the y-values of an equation are the same. Additionally, an equation is an exponential equation when the common ratio between y-values of an equation are the same.

Furthermore, an equation is a quadratic equation when the second difference between the y-values of an equation are the same.

For the first difference between the y-values, we have:

First difference = 1/4 - 1/8 = 1/8

First difference = 1/2 - 1/4 = 1/4

Therefore, this equation is not a linear equation.

Next, we would determine the common ratio between y-values;

Common ratio = 1/4/(1/8) = 2

Common ratio = 1/2/(1/4) = 2

Therefore, this equation is not an exponential equation with the general form of y = ab^x.

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Answer:

B

Step-by-step explanation:

E, "As I was saying, . . .". The salesperson should use this statement if they wished to ignore the objection.

Option E is the best choice to ignore the objection because it allows the salesperson to redirect the conversation back to their main point without directly addressing the objection. The statement implies that the objection is not important enough to interrupt the flow of the conversation.

Ignoring objections is not always the best approach in sales, but if the salesperson chooses to do so, they should use a statement like option E to redirect the conversation back to their main point.


When a salesperson wants to ignore an objection, they should choose a response that does not address the concern raised and instead redirects the conversation back to the topic they were discussing. Option e does this effectively by not acknowledging the objection and continuing with the original discussion.

To ignore an objection, a salesperson should use a statement like option e, which allows them to refocus the conversation without addressing the concern raised.

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Answer:

RQ = 7.4

Step-by-step explanation:

From the right triangle PQR,

m∠Q = 90°

m∠P = 55°

Hypotenuse PR = 9

By applying sine rule in the given triangle,

Sin(55°) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

0.819152 = \(\frac{\text{RQ}}{\text{PR}}\)

0.819152 = \(\frac{RQ}{9}\)

RQ = 9×0.819152

RQ = 7.37

     ≈ 7.4

Answer:

The value of j is 506

Step-by-step explanation:

j - 263 = 243

j = 243 + 263

j = 506

Thus, The value of j is 506

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