solve as per aastho code provisional only
the previous experts solutions was incorrect do copy from
them
Determine the braking distance for the following situations: (i) a vehicle moving on a positive 3 per cent grade at an initial speed of 50 km/h, final speed 20 km/h; (ii) a vehicle moving on a 3 per c

32 / 4 = 8

When it states that her mom visited x 4 the amount of states as her, divide the amount her mom has visited by 4 and find out how many states Kelly visited.

32 / 4 = 8

So, Kelly has visited 8 states.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

the equation of yours is wrong. the equation would be y=1/3x.

Step-by-step explanation:

here's the graph. hope it helps.

We can solve the given system of equations to find how many grams of fat are in each when two eggs and two pieces of bacon have a total of 22 grams of fat and two eggs and four pieces of bacon have a total of 32 grams of fat.

Step-by-step explanation:

Let's consider that each piece of bacon has "x" grams of fat and each egg has "y" grams of fat.

From the given information, we can form two equations as follows:

Equation 1: 2x + 2y = 22 (when two eggs and two pieces of bacon have a total of 22 grams of fat)

Equation 2: 4x + 2y = 32  (when two eggs and four pieces of bacon have a total of 32 grams of fat)

To solve for "x" and "y", let's perform elimination by multiplying Equation 1 by (-2) and adding it to Equation 2.

-4x - 4y = -44  (multiply Equation 1 by -2)
+ 4x + 2y = 32  (Equation 2)

-2y = -12

y = 6

Substitute the value of "y" in Equation 1 or 2 to solve for "x":

2x + 2y = 22

2x + 2(6) = 22

2x = 10

x = 5

Therefore, each piece of bacon has 5 grams of fat and each egg has 6 grams of fat.

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Answer:

Is it a line? Please give more info

Step-by-step explanation:

None of the given options (1, 2, 3, or 4) is the correct value of a for the given function to be linear. The given function

y = xa − 31 is not a linear function because the power of the variable x is greater than 1. Thus its degree is greater than 1. Linear functions have a degree of 1. So, the correct option is none of the above.

For a function to be linear, it must have a degree of 1, i.e., the highest power of the variable is 1, and the graph of a linear function is a straight line. However, the given function y = xa − 31 has a degree of a because the variable x's power is greater than 1. Hence, the given function is not linear. Instead, the given function is a power function of y = an.

When graphed, a power function can have several shapes depending on the values of a and n. In general, if n is an even number and a > 0, the graph of the function has a shape similar to that of a quadratic function with its vertex at the origin. However, if n is an odd number and a > 0, the function graph increases or decreases without bounds depending on whether a is positive or negative.

The given function y = xa − 31 is not linear because its degree is greater than 1. Therefore, none of the given options

(1, 2, 3, or 4) is the correct value of a for the given function to be linear.

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Part A:

An open circle on a number line represents that the value at that point is not included in the solution set of the inequality.

This means that the boundary point is not a valid solution to the inequality. It is used when the inequality is strict, such as x < 5, where 5 is not included in the solution set.

Part B:

A closed circle on a number line represents that the value at that point is included in the solution set of the inequality.

This means that the boundary point is a valid solution to the inequality. It is used when the inequality is non-strict, such as x ≤ 5, where 5 is included in the solution set.

Part C:

The shading on the number line represents the set of all values that satisfy the inequality.

The shaded region includes all the points that satisfy the inequality, and may extend to either the left or right of the boundary points, depending on the direction of the inequality.

The shading may be above or below the line, depending on whether the inequality involves greater than or less than.

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Answer: (-2, 1)

Step-by-step explanation:

       We will graph the given equations. The point of intersection is the solution to the system of equations. See attached.

       They intersect at the point (-2, 1) giving us an answer of x = -2 and y = 1, but this question asks for the answer as an ordered pair so we leave it as is.

Answer:

Step-by-step explanation:

2

Answer: D. (a+bi) times 1 = (a+bi)

Step-by-step explanation: i just took the test on edge2020

The value of the equation is P ( 4 , 4 ) , where P is the point of intersection of the equations

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be represented as A

Now , the value of A is

4x - 2y = 8  

Adding 2y on both sides of the equation , we get

2y + 8 = 4x

Subtracting 8 on both sides of the equation , we get

2y = 4x - 8   be equation (1)

Now , let the second equation be represented as B

Now , the value of B is

y = ( 3/2 )x - 2

On simplifying the equation , we get

2y = 3x - 4   be equation (2)

Now , subtracting equation (2) from equation (1) , we get

4x - 8 - ( 3x - 4 ) = 0

4x - 8 - 3x + 4 = 0

x - 4 = 0

Adding 4 on both sides of the equation , we get

x = 4

Substitute the value of x = 4 in equation ( 1 ) , we get

2y = 8

y = 4

So , the value of x = 4 and y = 4

The equations are plotted on the graph and the point of intersection is the solution to the equation , P ( 4 , 4 )

Hence , the equations are solved

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Answer: 200

Step-by-step explanation: first we will turn this into an equation

x/5=40, then we need to isolate the variable by multiplying both sides by 5.

x = 200

The fraction \($\frac{9}{12}$\) can be expressed as the sum of the smaller fraction \($\frac{3}{4}$\).

Ryan grew \($\frac{1}{2}$\) feet in a year.

1. To express the fraction \($\frac{9}{12}$\) as a sum of smaller fractions, we can simplify it by dividing both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of \(9\) and \(12\) is \(3\).

So, we can rewrite \($\frac{9}{12}$\) as:

\($\frac{9}{12} = \frac{3 \times 3}{3 \times 4} = \frac{3}{4}$\)

Therefore, the fraction \($\frac{9}{12}$\) can be expressed as the sum of the smaller fraction \($\frac{3}{4}$\).

2. To find how much Ryan grew in a year, we need to calculate the difference between his height this year and his height last year.

Let's convert the mixed fractions to improper fractions for easier computation:

Last year's height: \($4 \frac{3}{4} = \frac{4 \times 4 + 3}{4} = \frac{19}{4}feet\)

This year's height: \($5 \frac{1}{4} = \frac{5 \times 4 + 1}{4} = \frac{21}{4} feet\)

To determine the growth, we subtract last year's height from this year's height:

\($\frac{21}{4} - \frac{19}{4} = \frac{21 - 19}{4} = \frac{2}{4} = \frac{1}{2}feet\)

Therefore, Ryan grew \($\frac{1}{2}$\) feet in a year.

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Answer:

1594

Step-by-step explanation:

Answer:

After 16 months, the total amount paid would be the same for both dealers. This would be $5150.

Step-by-step explanation:

Let x = Number of months

Let y = Amount paid in $

y = 175x + 2350 (Dealer 1)

y = 150x + 2750 (Dealer 2)

175x + 2350 = 150x + 2750 (Make both equal and solve for x)

175x -150x = 2750 -2350

25x = 400

x = 16

After 16 months the total amount would be the same.

Now plug in 16 for x in any equation...

y = 150(16) + 2750

y = 2400 + 2750

y = 5150

Answer:

Step-by-step explanation:

let x = number of months

let dealer A = 2350 + 175x

let dealer B = 2750 + 150x

find:

After how many months would the total amount paid be the same for both dealers? What would that amount be?

dealer A = dealer B

2350 + 175x  = 2750 + 150x

175x - 150x = 2750 - 2350

25x = 400

x = 400/25

x = 16

plugin x=16 back into the equation

let dealer A = 2350 + 175x

                    = 2350 + 175(16)

                    = 5150

let dealer B = 2750 + 150x

                   = 2750 + 150(16)

                   = 5150

therefore,

1. it would take 16 months  pay the same for both dealers

2. the amount would be $5150

The arithmetic mean for the given data is 69.5, obtained by summing the products of midpoints and frequencies and dividing by the total frequency.

To find the arithmetic mean, we need to calculate the sum of all the values in the data set and then divide it by the total number of values. In this case, we have the class frequencies and the midpoints of each class interval. To calculate the sum, we multiply each class frequency by its corresponding midpoint and then add all the values together.

For example, for the first class interval (50-54), the midpoint is 52, and the frequency is 7. So, the contribution of this interval to the sum is 52 * 7 = 364. We do the same calculation for each interval and add them up to get the total sum.

Next, we divide the total sum by the sum of all the frequencies, which in this case is 50. So, the arithmetic mean is 69.5 (total sum divided by the total number of values).

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Area of a circle is pi x r^2

Area of a circle with radius of 2 = 3.14 x 2^2 = 3.14 x 4 = 12.56

A semicircle is 1/2 of a circle so now divide the area of the circle by 2:

12.56/2 = 6.28

answer: 6.28 square units

answer:

sin theta=18/21

sin theta ^-1 (18/21)

=58.9972808661

therefore, angle ? = 59°

Step-by-step explanation:

Number 1

Circumference = 88cm

Circumference = 2πr

2πr = 88

πr = 88/2

πr = 44

22r/7 = 44

22r = (44 × 7)

r = (44 × 7)/22

r = 2 × 7

r = 14cm

Number 2

Length of arc = 44cm

Angle = 45°

L = ∅/360 × 2πr

44 = 45/360 × 2πr

44 = ⅛ × 2πr

44 = ¼ × πr

πr = 44 × 4

22r/7 = (44 × 4)

22r = (44 × 4 × 7)

r = (44 × 4 × 7)/22

r = 2 × 4 × 7

r = 2 × 28

r = 56cm

Perimeter = L + 2r

P = 44cm + 2(56cm)

P = 44cm + 112cm

P = 156cm

Answer:

Step-by-step explanation:

-11

Answer:

x=-3 or x=5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The answer is letter D.

why?

Step-by-step explanation:

Id.k -_-

j0ke

=

2

π

r

=

2

π

3

≈

18.84956

and that's it

HOPE IT HELPS

(FROM CROSS)

Answer:

Top Left

Their the straight line

Confidence interval refers to a statistical measure that helps quantify the amount of uncertainty present in a sample's estimate of a population parameter.

This measure expresses the degree of confidence in the estimated interval that can be calculated from a given set of data. In this scenario, the task is to build a 95% confidence interval for the regression line's slope. The regression analysis output has already been given. According to the output given, the estimated regression model is:y = 25,000 + 9,000 x, where x represents the number of miles the car has been driven and y represents the car's selling price.

The formula to calculate the 95% confidence interval for the slope is:Slope ± t · SE, where Slope is the point estimate for the slope, t represents the critical t-value for a given level of confidence and degrees of freedom, and SE represents the standard error of the estimate. The value of t can be calculated using the degrees of freedom and a t-table. Here, the number of pairs in the sample size is 20, and the model uses two parameters.

Therefore, the degrees of freedom would be 20 - 2 = 18.The critical t-value for a 95% confidence interval and 18 degrees of freedom is 2.101. Using the formula given above, we can calculate the 95% confidence interval for the slope as follows:Slope ± t · SE= 9000 ± (2.101)(700) ≈ 9000 ± 1,467.7 = [7,532.3, 10,467.7]Therefore, the 95% confidence interval for the slope is [7,532.3, 10,467.7]. This means that we are 95% confident that the true value of the slope for this model falls within the interval [7,532.3, 10,467.7].

It implies that the price of the car increases by $7,532.3 to $10,467.7 for each mile driven by the car. In conclusion, a 95% confidence interval has been calculated for the regression line's slope, which indicates that the actual slope of the model lies between the range [7,532.3, 10,467.7].

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Answer:

55 to 70

Step-by-step explanation:

The first quartile is the left-most region of the graph, from 55 to 70.  The second quartile stretches from 70 to 80.

The recurrence relation for the number of ways to form postage of n cents with 4-cent, 6-cent, and 10-cent stamps, with order mattering, is P(n) = P(n-4) + P(n-6) + P(n-10), with initial conditions P(0) = 1 and P(n) = 0 for n < 0.

To form postage of n cents, we can use either a 4-cent stamp, a 6-cent stamp, or a 10-cent stamp.

Therefore, the number of ways to form postage of n cents can be calculated by considering the number of ways to form postage of (n-4) cents, (n-6) cents, and (n-10) cents.

Let P(n) denote the number of ways to form postage of n cents with these stamps.

Then we have:

P(n) = P(n-4) + P(n-6) + P(n-10)

This is a recurrence relation for P(n).

The initial conditions for this recurrence relation are:

P(0) = 1 (There is one way to form postage of 0 cents, by using no stamps.)

P(n) = 0 for n < 0 (There are no ways to form negative postage.)

We can also find P(4), P(6), and P(10) directly:

P(4) = 1 (We can use one 4-cent stamp.)

P(6) = 2 (We can use one 6-cent stamp, or two 4-cent stamps.)

P(10) = 4 (We can use one 10-cent stamp, or one 6-cent stamp and one 4-cent stamp, or two 4-cent stamps and one 2-cent stamp, or four 2-cent stamps.)

Using these initial conditions and the recurrence relation, we can calculate P(n) for any positive integer n.

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The matrix Cc of the linear transformation \(T(x) = b(a(x))\) is:

Cc = [4 12 36 0

2 6 18 0

5 15 45 0

2 6 18 0]

To find the matrix Cc of the linear transformation\(T(x) = b(a(x))\), we need to perform matrix multiplication.

Given:

a = [0 1 3 9]

b = [8 4 5 2]

First, we need to compute the matrix product b(a(x)):

\(a(x) = [0 1 3 9] * [x₁ x₂ x₃ x₄]^T\)

\(= [0x₁ + 1x₂ + 3x₃ + 9x₄]\)

\(b(a(x)) = [8 4 5 2] * [0x₁ + 1x₂ + 3x₃ + 9x₄]^T\)

=\([8*(0x₁ + 1x₂ + 3x₃ + 9x₄) 4*(0x₁ + 1x₂ + 3x₃ + 9x₄)\)

\(5*(0x₁ + 1x₂ + 3x₃ + 9x₄) 2*(0x₁ + 1x₂ + 3x₃ + 9x₄)]\)

Simplifying the expression, we get:

\(b(a(x)) = [4x₂ + 12x₃ + 36x₄ 2x₂ + 6x₃ + 18x₄\)

\(5x₂ + 15x₃ + 45x₄ 2x₂ + 6x₃ + 18x₄]\)

Therefore, the matrix Cc of the linear transformation\(T(x) = b(a(x))\) is:

Cc = [4 12 36 0

2 6 18 0

5 15 45 0

2 6 18 0]

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Answer:

A

Step-by-step explanation:

You have to simplify the brackets in turn.

3 times x^3- 7x+1 = 3x^3- 21x+ 3

then do 3 times x + 4= 3x + 12

you then add them all together, if they have a power add them, if they just have an x add them, and if they are just a number add them.

So it goes to 3x^3- 24x - 9,

this is because 3x^3 cant be added/ subtracted by anything, -24x is made from -21x- 3x, and -9 is made from 3 - + 12, so this means 3 - 12 = -9.

I hope this helps, have a lovely day.

The success rates of the three treatments in preventing cardiac events are approximately 90.91% for the stress management program, 79.41% for the exercise program, and 70% for usual heart care.

a. Two-way table:
| Treatment | Cardiac Events | No Cardiac Events |
|-----------|-----------------|----------------------|
| Stress Management | 3 | 30 |
| Exercise | 7 | 27 |
| Usual Care | 12 | 28 |
b. The success rates of the three treatments in preventing cardiac events can be calculated as the percentage of people in each group who did not experience a cardiac event.
- Stress management: 90.9% success rate (30/33)
- Exercise: 79.4% success rate (27/34)
- Usual care: 70% success rate (28/40)
Therefore, the stress management program had the highest success rate in preventing cardiac events, followed by the exercise program and then usual care.

Stress management and its impact on reducing heart attacks. Let's analyze the study results and create a two-way table, as well as calculate the success rates of the three treatments in preventing cardiac events.
a. Two-way table:
| Treatment          | Cardiac Events | No Cardiac Events | Total |
|--------------------|----------------|-------------------|-------|
| Stress Management  | 3              | 30                | 33    |
| Exercise Program   | 7              | 27                | 34    |
| Usual Heart Care   | 12             | 28                | 40    |
| Total              | 22             | 85                | 107   |
b. Success rates of the three treatments in preventing cardiac events:
1. Stress Management:
Success rate = (No Cardiac Events / Total) * 100
Success rate = (30 / 33) * 100
Success rate ≈ 90.91%
2. Exercise Program:
Success rate = (No Cardiac Events / Total) * 100
Success rate = (27 / 34) * 100
Success rate ≈ 79.41%
3. Usual Heart Care:
Success rate = (No Cardiac Events / Total) * 100
Success rate = (28 / 40) * 100
Success rate = 70%

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