The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. If Shawn knows that the slope of the line is 4 and the line passes through the point (1,8), which equation should be use to find the y-intercept and what is the y-intercept of the line?

Answer:

the answer is 30.975

Step-by-step explanation:

... i haven't learned this so i cannot give you an explanation. sorry but i hope this helps :))

Answer:

the box diagonal is about 41.68

Step-by-step explanation:

yes the bat will fit but not by much

Answer:

R384,480

Step-by-step explanation:

Please note that annual means one year.

With this in mind, we multiply the amount by 12 because twelve months make up a year.

That is 32,040 x 12 = R384,480

Therefore, Mrs.Chauke’s annual income if she earns R32 040 per month is:

By direct multiplication, we will see that Mrs. Chauke's annual income is R384,480

We know that she earns R32,040 per month.

To get the annual income, we need to multiply what she earns each month by the number of months in one year.

We know that in one year there are 12 months, so the annual income is just:

A = R32,040*12 = R384,480

The annual income is  R384,480

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Answer:

n = 0.38 rotation per second

Step-by-step explanation:

The device rotates according to the mathematical equation :

\(n=\dfrac{g^{0.5}}{2\pi r^{0.5}}\) ...(1)

Where n is the rotational speed and is measured in rotations per second (s).

r is radius of the circulator and is measured in meters (m).

We need to find the rotational speed when radius is 1.7 m. Put r = 1.7 m in equation (1).

\(n=\dfrac{(9.8)^{0.5}}{2\pi \times (1.7)^{0.5}}\\\\=0.38\ \text{rotations per second}\)

Hence, the rotational speed is 0.38 rotation per second.

To evaluate where c is the semicircle x^2 y^2=9 with z=5 and x>=0, we need to first understand the properties of a semicircle. A semicircle is a half of a circle, which means it only includes the points on one side of the diameter. In this case, the semicircle is defined by the equation x^2 y^2=9, which is the equation of a circle with radius 3 centered at the origin.

The equation of the circle can be rewritten as y^2=9/x^2, which shows that y is a function of x. Since x>=0, we only need to evaluate the half of the circle where x>0. To find the points on the semicircle where z=5, we substitute z=5 into the equation of the circle and solve for y:

x^2 y^2 = 9
y^2 = 9/x^2
y = ±3/x

Substituting z=5, we get:

5 = z = x^2 y^2 = x^2 (3/x)^2 = 9x^2

Solving for x, we get:
x = ±sqrt(5/9)

Since x>=0, we take x=sqrt(5/9). Substituting this value of x into the equation for y, we get:
y = 3/x = 3/sqrt(5/9) = 3sqrt(9/5) = 3sqrt(5)/sqrt(5) = 3

Therefore, the point on the semicircle where z=5 is (sqrt(5/9), 3, 5).
To assign the result to q10, we simply write:
q10 = (sqrt(5/9), 3, 5)

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The correct answer is Using numerical integration techniques:Approximation using the Trapezoidal Rule (t10) is approximately [2.763211].Approximation using the Midpoint Rule (m10) is approximately [2.079728].Approximation using Simpson's Rule (s10) is approximately [2.094395].

To approximate the values of t10, m10, and s10 for the integral 0 to 8 sin(x) dx, we can use numerical integration techniques, such as the Trapezoidal Rule, Midpoint Rule, and Simpson's Rule.

Trapezoidal Rule (t10):

The Trapezoidal Rule estimates the integral by approximating the area under the curve using trapezoids. The formula for the Trapezoidal Rule is given by:

t10 = (b - a) * [(f(a) + f(b)) / 2 + ∑(f(xi))] / n

where a and b are the limits of integration (0 and 8 in this case), f(x) is the function (sin(x) in this case), xi are the equally spaced points between a and b, and n is the number of intervals.

Using n = 10, we can calculate t10:

t10 ≈ (8 - 0) * [(sin(0) + sin(8)) / 2 + ∑(sin(xi))] / 10

Midpoint Rule (m10):

The Midpoint Rule estimates the integral by approximating the area under the curve using rectangles. The formula for the Midpoint Rule is given by:

m10 = (b - a) * ∑(f(xi + h/2)) / n

where a, b, f(x), xi, and n have the same meanings as in the TrapezoidalRule, and h is the width of each interval (h = (b - a) / n).

Using n = 10, we can calculate m10:

m10 ≈ (8 - 0) * ∑(sin(xi + (8 - 0) / (2 * 10))) / 10

Simpson's Rule (s10):

Simpson's Rule estimates the integral by approximating the area using parabolic arcs. The formula for Simpson's Rule is given by:

s10 = (b - a) * [f(a) + 4 * ∑(f(xi)) + 2 * ∑(f(x2i)) + f(b)] / (3 * n)

where a, b, f(x), xi, and n have the same meanings as in the Trapezoidal Rule, and x2i represents the points with an even index.

Using n = 10, we can calculate s10:

s10 ≈ (8 - 0) * [sin(0) + 4 * ∑(sin(xi)) + 2 * ∑(sin(x2i)) + sin(8)] / (3 * 10)

By evaluating these formulas using numerical methods and rounding the results to six decimal places, you can find the approximations t10, m10, and s10 for the given integral 0 to 8 sin(x) dx.

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Answer:

4.5611 m

Step-by-step explanation:

First we should find the area of the the total circle, which is 12.57, with a radius of 2 m. Next, we need to find the area of the square, which is 8.0089, given that both sides are 2.83 m. Finally, we subtract the square from the total, which is 12.57-8.0089 = 4.5611 m.

Hope this helps!

I’ve attached my table of what I’ve done

Answer:

6,7 x+9

Step-by-step explanation:

\(3( \frac{7}{5} x + 4) - 2( \frac{3}{2} - \frac{5}{4} x) \\ 4.2x + 12 - 3 + 2.5x \\ 6.7x + 9\)

Step-by-step explanation:

let the amount that Krutika gets be x, therefore, gets him the amount that jim get will be x +40

therefore 3/1=x+40/x

hence 3x=x+40

therefore x=40/2

x=20

Step-by-step explanation:

let the amount that Krutika gets be x, therefore, gets him the amount that jim get will be x +40

therefore 3/1=x+40/x

hence 3x=x+40

therefore x=40/2

x=20

Answer:

55.9548

Step-by-step explanation:

35.64 ÷ 2 = 17.82

17.82 × 3.14 = 55.9548

Answer: 111.97

Step-by-step explanation:

Circumference of a circle= 2πr

r= d/2

diameter= 35.64

Therefore circumference= 2*(3.14)*(35.64/2)

= 111.97

We can determine coordinates if point t is between points u and v by checking if u < t < v or v < t < u.

To determine if point t is between points u and v, we need to compare their coordinates. If u < v, then point t is between points u and v if and only if u < t < v. On the other hand, if v < u, then point t is between points u and v if and only if v < t < u.

Whether or not point t is between points u and v depends on the relationship between the coordinates of u and v. If u < v, t must fall between them, and if v < u, t must also fall between them.

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Answer:

I believe it is C.

Step-by-step explanation:

Answer:

\(\frac{47}{9}\)  or  \(5\frac{2}{9}\)

Step-by-step explanation:

Write out expression:

\(-3\frac{1}{9} - (-8\frac{1}{3} )\)

Multiply the whole numbers into the fractions:

\(-\frac{28}{9} -(-\frac{25}{3})\)

Remove parentheses

\(-\frac{28}{9} + \frac{25}{3}\)

Multiply the second fraction by \(\frac{3}{3}\) to reach a common denominator

\(-\frac{28}{9}+\frac{75}{9}\)

Add

\(\frac{47}{9}\)

Simplify into a top-heavy fraction or a mixed fraction (whichever your homework wants)

\(\frac{47}{9}\) or \(5\frac{2}{9}\)

The simplified fraction is 47/9.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

We have  -3 1/9 - (-8 1/3)

Simplifying the above expression

= -28/9 - (-25/3)

= -28/9 + 25/3

= -28/9 + 75/9

= 47/9

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Yes. A leg of a right triangle can indicate the distance that separates two vertical or horizontal points, and the hypotenuse can represent the distance between two non-vertical or non-horizontal points.

We can use this theorem to calculate the distances between two locations on a coordinate grid. Consider the following example using the points:

( 3, 4 ) and ( − 2, 1 )

We can see how to make a right triangle with the hypotenuse as that of the line connecting these two spots. A right angle is formed at the coordinates ( 3, 1), where the vertical line from ( 3, 4 ) and the horizontal line from ( 2, 1 ) intersect.

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Answer:

2.5.8.11.14.17

Step-by-step explanation:

Start from 2 and add 3 every time

Answer:

Step-by-step explanation:

6:1 i think

The sale price of the green beans represents a decrease of 16.67% compared to the original price of the beans.

To find the percent increase or decrease in the price of a can of green beans during the sale, we need to compare the sale price with the original price.

During the sale, the green beans were sold at a rate of 3 cans for $1.25, or approximately 41.67 cents per can:

Sale price per can = $1.25 / 3 = $0.4167 ≈ 41.67 cents

The original price of a can of green beans was 50 cents.

To find the percent increase or decrease in the price, we can use the following formula:

Percent increase or decrease = ((New value - Old value) / Old value) x 100%

Substituting the values, we get:

Percent increase or decrease = ((0.4167 - 0.5) / 0.5) x 100%

Percent increase or decrease = (-0.0833 / 0.5) x 100%

Percent increase or decrease = -16.67%

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For given experiment, the probability of getting a multiple of 3 and 4 is 1/7

In this question we have been given an expreiment of rolling  two number cubes and multiply the numbers.

We need to find the probability of getting a multiple of 3 and 4

If two number cubes are rolled and multiply the numbers, the maximum output of multiplication would be 36

So, the sample space:

n(S) = 21

The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36

And the multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36

The number of outcomes for getting a multiple of 3 and 4 are:

12, 24, 36

n(A) = 3

so, the required probability would be,

p(A) = n(A)/n(S)

p(A) = 3/21

p(A) = 1/7

Therefore, the probability of getting a multiple of 3 and 4 = 1/7

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The probability that either event will occur is 0.83

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

Event A = 18

Event B = 12

Other Events = 6

Using the above as a guide, we have the following:

Total = A + B + C

So, we have

Total = 18 + 12 + 6

Evaluate

Total = 36

So, we have

P(A) = 18/36

P(B) = 12/36

For either events, we have

P(A or B) = 30/36 = 0.83

Hence, the probability that either event will occur is 0.83

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Answer:

17 1/2 miles

Step-by-step explanation:

5 x 3 = 15------->5 x 1/2 = 2 1/2

15 + 2 1/2 =  17 1/2 miles

                 Morgan rides 17 and a half miles.

Answer:

17.5

Step-by-step explanation:

3.5 multiply by 5 and you get your answer of 17.5

Answer:

the area for the entire scale is 8 inches

the area for one of the triangles is 6.2 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of the triangle is:

A = 1/2 * (Base * Height)

A = 1/2 * (b * h)

A = 1/2 * (8 * 6.2)

A = 1/2 * 49.6

A = 24.8

Area of the square is:

A = Base * Height

A = b * h

A = 8 * 6.2

A = 49.6

Answer:

108°

Step-by-step explanation:

The sum of angles on a straight line is 180°

Therefore:

x + 72° = 180°

x = 180° - 72°

x = 108°

Therefore, the value of x is 108°

The correct answer is (b) The average rate of change of temperature is 0 from 2 PM to 4 PM and also from 10 AM to 8 PM.

What is a temperature simple definition?

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The complete question is-

The National Weather Service keeps track of the temperature for a given day in a given city. It also keeps track of this information at certain times during a given day. The following temperatures were recorded on a January day in New York City.Time of Day10 AM12 Noon2 PM4 PM6 PM8 PM10 PMTemperature (F)30353636343028Over which period(s) of time is the average rate of change zero? What, if anything, can you conclude about the actual temperature fluctuation within this period?a.The average rate of change of temperature is 0 from 2 PM to 4 PM; Nothing can be concluded about the actual temperature fluctuation.b.The average rate of change of temperature is 0 from 2 PM to 4 PM and also from 10 AM to 8 PM; Nothing can be concluded about the actual temperature fluctuation.c.The average rate of change of temperature is 0 from 10 AM to 8 PM; Nothing can be concluded about the actual temperature fluctuation.d.The average rate of change of temperature is 0 from 2 PM to 4 PM and also from 10 AM to 8 PM; The conclusion that can be drawn is that the temperature will not change for that time period.