Graph the equation 4x + 3y = −24. What is the slope of the line?

Answer:

Step-by-step explanation:

slope of line through (6,-1) and (11,2) = (-1 - 2)/(6 - 11) = 3/5

slope of line through (5,-7) and (8,-2) = (-7 - (-2))/(8 - 5) = -5/3

product of the slopes = -1, so the lines are perpendicular.

Answer:

The values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Step-by-step explanation:

To find the values of b that satisfy the equation 3(2b + 3)² = 36, we can solve for b by following these steps:

1. Divide both sides of the equation by 3:

  (2b + 3)² = 12

2. Take the square root of both sides:

  √[(2b + 3)²] = √12

  Simplifying further:

  2b + 3 = ±√12

3. Subtract 3 from both sides:

  2b = ±√12 - 3

4. Divide both sides by 2:

  b = (±√12 - 3) / 2

  Simplifying further:

  b = (±√4 * √3 - 3) / 2

  b = (±2√3 - 3) / 2

Therefore, the values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Answer:

6ft

Step-by-step explanation:

12/2 =6 which means its 6 ft, ur welcome

Answer:

6ft

Step-by-step explanation:

***If you found this answer please press the heart button and mark me brainliest, thanks!***

Answer:

It is correct please I do not want yo sound rude can you give me brainliest answer.

Answer:

correct steps

Step-by-step explanation:

if asked to find angles in terms of the ratios, then don't forget to shift sin / cos / tan across the equal sign and change it to arc sin / cos / tan.

Answer:

C and D

Step-by-step explanation:

\(\cos(2x)\\=\cos(x+x)\\=\cos(x)\cos(x)-\sin(x)\sin(x)\\=\cos^2(x)-\sin^2(x)\\=\cos^2(x)-(1-\cos^2(x))\\=2\cos^2(x)-1 \,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option D}\\=2(1-\sin^2(x))-1\\=2-2\sin^2(x)-1\\=1-2\sin^2(x)\,\,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option C}\)

Answer:

$381.29

Step-by-step explanation:

10000(1+.18)5

10000(1.18)5

Amount due $22877.58

since 5 years x 12 months =60 months

monthly payment is 22877.58÷60 = $381.29

Answer:

26 remainder 2

Step-by-step explanation:

5 - 3 =2

2 + 78 = 80

80 ÷ 3

3 can go into 8 twice remaining with 2

2 goes across to 0

3 can go into 20 6 times because 3×6= 18

so 3 into 20 is 6 remainder of 2

answer= 26 remainder of 2

Answer:

\(= 26 \frac{3}{2} \\ \)

Step-by-step explanation:

\(5 - 3 + 78 \div 3 \\ 2 + 78 \div 3 \\ 80 \div 3 \\ = 26 \frac{3}{2} \)

hope this helps you

Answer: The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

Step-by-step explanation:

Answer:

10 dollars

Step-by-step explanation:

5 + 5

The area of this composite figure made from placing a sector of a circle on a triangle is 95.55 square cm

The sector area

The area of the sector is calculated as

Area = x/360 * πr²

Where

r² = 8² + 6²

So, we have

r² = 100

This means that

Area = 82/360 * π * 100

Evaluate

Area = 71.55

The triangle area

This is calculated as

Area = 0.5bh

So, we have

Area = 0.5 * 8 * 6

Evaluate

Area = 24

So, the area of the figure is

Figure = 24 + 71.55

Figure = 95.55

Hence, the area is 95.55

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Answer:

1/36

Step-by-step explanation:

Answer:

1/36

Step-by-step explanation:

just trust me....

trust me

Damien earns $7.25 at his after school job.

To find a linear equation's solution is to solve a linear equation. Here, the techniques for solving the three primary forms of linear equations—linear equations with one variable, linear equations with two variables, and linear equations with three variables—are described.

There are six main methods to solve linear equations. Some methods for determining the solution to linear equations are:

Graphical Approach

Substitution Method Elimination Method

Method of Cross Multiplication

Matrix Method \sDeterminants Method

Let us suppose the after-school job = x.

Let us suppose the weekend job = y.

Given that, he worked 8 hours at his after-school job and 6 hours at his weekend job, earning a total of $118.

8x + 6y = 118.........(1)

He worked 4 hours at his after-school job and 9 hours at his weekend job, earning a total of $119.

4x + 9y = 119.........(2)

Multiply the second equation with 2 and subtract equation 1 from it:

8x + 18y = 238

- (8x + 6y = 118)

12y = 120

y = 10

Substitute the value of y in equation 2:

4x + 9(10) = 119

4x + 90 = 119

4x = 29

x = 7.25

Damien earns $7.25 at his after school job.

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Multiply 50 * 73782626 by hand.

First, we take away the 0 of the 50 and add it to the final result because it's equivalent to multiplying by 10.

We only need to multiply by 5.

1 3 <= carry

73782626

x 5

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

130

Multiply 5*6 = 30. Write 0 and carry 3

Multiply 5*2 = 10. Add carry 3 = 13. Write 3 and carry 1

Multiply 5*6 = 30. Add carry 1 = 31. Write 1 and carry 3

The joint cumulative distribution function Fx1,x2 (u, v) is equal to the joint cdf FX2,X1 (u, v), but X1 and X2 are not necessarily independent. The conditional expectation of X1 and X2 given X1 + X2 are different, and M and Z are dependent.

(a) The joint cumulative distribution function (cdf) Fx,,X2 (u, v) = P(X1 ≤ u, X2 ≤ v) is the same as the joint cdf FX2,X₁ (u, v) = P(X2 ≤ u, X1 ≤ v).

This is true because fX1,X2 (s, t)=fX1,X2 (t, s) for all s, t, which implies that Fx,,X2 (u, v) = P(X1 ≤ u, X2 ≤ v) = P(X2 ≤ u, X1 ≤ v) = FX2,X₁ (u, v).

(b) The two independent random variables are called X1 and X2.

This is false because the joint density fx1,x2 (s, t) does not necessarily imply that X1 and X2 are independent. For two random variables to be independent, the joint density of the two variables must be equal to the product of the marginal densities of the two variables.

(c) The conditional expectation E[X1 X1 + X2] is equal to the conditional expectation E[X2|X1 + X2].

This is false because the conditional expectation of X1 given X1 + X2 is different from the conditional expectation of X2 given X1 + X2.

(d) The random variable M = max{X1, X2} is independent of the indicator random variable Z = 1x₁>X2.

This is false because the random variable M = max{X1, X2} is dependent on the indicator random variable Z = 1x₁>X2. If X1 > X2, then M = X1 and Z = 1, and if X2 > X1, then M = X2 and Z = 0. Therefore, M and Z are dependent.

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The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.

The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.

Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:

y - 3 = 1(x - (-1))

Simplifying:

y - 3 = x + 1

Now, we can rewrite the equation in the standard form:

y = x + 4

Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

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Answer:

\(8n=32\)

Step-by-step explanation:

Muriel's algebraic expression for the phrase "the product of a number and 8" would be 8n, where n represents the number. When n = 4, the value of 8n would be 8 times 4, which is 32. Therefore, the correct expression and value is 8n = 32 when n = 4.

Answer:

8n=32

Step-by-step explanation:

got it right on homework

Answer:

b 18

Step-by-step explanation:

From the given data: the right table arrangement is:  

 \(Actual \ Class\)         \(\text{ Predicted Class 1}\)                \(\text{Predicted Class 0}\)

\(Class \ 1\)                          18                                    11

\(Class \ 0\)                           11                                   60

The True Positive is the number of current customers who were predicted to give references to a free back rub and who actually gave references to a free back rub.  

This number is given by the section in the segment relating to Predicted Class 1 and the line comparing to A\(Class \ 1\)tual Class 1 which is 18.

Answer:

A. build the hasse diagram of A

Step-by-step explanation:

Sana nakatulong

please friend complete your answer

A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).

To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.

The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.

Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.

The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.

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from 0 hr to 2 hr in the graph, the height of the snow after a snowfall is changed 0 to 2 inches of snow,

so this relation between the 0 to 2 hr is a proportional relationship. and the rate of snowfall between these hours is 1 inch of snow per hour.

From 2 to 5 hours the height of the snow is constant, so there is now snowfall in between 2 to 5. so the rate of snowfall is 0 in between 2 to 5 hrs

from 5 to 6 hr,

the height of snow increases proportionally to the time. it means there is a proportional relation between 5 to 6 hr

so the rate of snow 1-inch per hour

Answer: 0.41

Step-by-step explanation:
To find the decimal point of a fraction, divide the numerator (the top half of the fraction) by the denominator (the bottom half of the fraction).

41 over 100 as a decimal point would be 41 divided by 100

Which produces the equivalent decimal, 0.41

P.S this is also how you find the percent of a number. To get the percent, move the decimal point 2 digits over (0.41 to 41.) and then add the percentage sign to the end of the number (41%)

0.41 = 41%

so 41 over 100 is 0.41, and 41 is also 41% of 100 (per cent means per 100)

Best of luck in 5th grade :)

The linear function that predicts the number of calculators sold per week (y) at a price of x dollars is, y = -400x + 46,000

To determine a linear function that predicts the number of calculators sold per week at a certain price, we can use the given information. Let's assign "x" as the price of the calculator and "y" as the number of calculators sold per week.
We have two data points:
At a price of $90, 10,000 calculators are sold per week.
At a price of $85, 12,000 calculators are sold per week.
Using these two points, we can find the slope of the linear function:
Slope (m) = (change in y) / (change in x)
= (12,000 - 10,000) / (85 - 90)
= 2,000 / -5
= -400
Now, let's use one of the data points to find the y-intercept (b):
Using the point (x, y) = (90, 10,000):
y = mx + b
10,000 = -400(90) + b
10,000 = -36,000 + b
b = 46,000
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Since the rabbit from the previous problem started at 10, it would be at 17 units on the number line after the same three jumps.

In Mathematics, a number line is a type of graph with a graduated straight line which comprises both positive and negative numerical values that are placed at equal intervals along its length.

From the previous problem, the total distance covered by the rabbit is given by:

Total distance = 4 units + 2 units + 1 unit

Total distance = 7 units.

Since the second point is at 10 units and the open circle arrow points to the right of the number line, the rabbit would cover 7 more distance from this point:

Total distance = 10 units + 7 units

Total distance = 17 units.

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a.The probability distribution table for the first six attempts is shown below:

X P(X=k)

1 0.44

2 0.56 ×0.44

3 0.56²×0.44

4 0.56³ × 0.44

5 0.56⁴ ×0.44

6 0.56⁵×0.44

b.  the probability is 0.1399.

c. the quarterback can expect to throw about 2.27 passes before completing one.

d. the probability is 0.1865.

e. the probability is 0.7349.

The possibility or chance of an event occurring is measured by probability. The expression is given as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty. Compared to occurrences with a probability closer to 0, those with a probability closer to 1 are more likely to occur.

a. To construct a probability distribution table for the number of passes attempted before the quarterback has a completion, we can use the geometric probability distribution, which is given by:

P(X=k) = \((1-p)^{k-1}\)×p

where X is the number of attempts before the completion, p is the probability of completion on each attempt, and k is the number of attempts.

The probability distribution table for the first six attempts is shown below:

X P(X=k)

1 0.44

2 0.56 ×0.44

3 0.56²×0.44

4 0.56³ × 0.44

5 0.56⁴ ×0.44

6 0.56⁵×0.44

b. The probability that the quarterback throws 3 incomplete passes before he has a completion is given by:

P(X=3) = (1-0.44)³⁻¹× 0.44 × (1-0.44)⁰

= 0.56²×0.44

= 0.1399

Therefore, the probability is 0.1399.

c. The expected number of passes that the quarterback can throw before he completes a pass is given by the formula:

E(X) = 1/p

where p is the probability of completion on each attempt.

In this case, p = 0.44, so the expected number of passes is:

E(X) = 1/0.44

= 2.27

Therefore, the quarterback can expect to throw about 2.27 passes before completing one.

d. The probability that it takes more than 5 attempts before the quarterback completes a pass is given by:

P(X > 5) = 1 - P(X <= 5)

= 1 - [P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)]

= 1 - [0.44 + (0.56 × 0.44) + (0.56² ×0.44) + (0.56³ × 0.44) + (0.56⁴×0.44)]

= 0.1865

Therefore, the probability is 0.1865.

e. If the quarterback throws 8 passes on the opening drive, the probability that he completes at least half of them is given by the binomial probability distribution, which is given by:

P(X ≥ 4) = 1 - P(X < 4)

where X is the number of completed passes and the probability of completion on each attempt is p = 0.44.

Using the binomial probability distribution table or calculator, we can find:

P(X≥4) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]

= 1 - [0.56⁸ + (8× 0.56⁷×0.44) + (28 × 0.56⁶ × 0.44²) + (56× 0.56⁵×0.44³)]

= 0.7349

Therefore, the probability is 0.7349.

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As per the angle sum property, the interior angles that form the triangle is option

B. 60, 60, 60°

C. 40.50,90°

D. 30.60.90*

Angle sum property

Angle sum property states that the sum of all the interior angles of the triangle is equal to 180 degrees.

Given,

Here we have the list of interior angles

A. 45, 45, 45*

B. 60, 60, 60°

C. 40.50,90°

D. 30.60.90*

E. 90,90°, 45°

F. 90, 90, 90°

Now, we have to find in which for these angle will form the tringle.

As per the definition of the angle sum property, the sum of all the interior angle of the triangle is 180°.

Based on these we have to verify each of the given interior angles,

A) 45 + 45 + 45 = 135

B. 60 + 60 + 60 = 180

C. 40 + 50 + 90 = 180

D. 30 + 60 + 90 = 180

E. 90 + 90 + 45 = 225

F. 90 + 90 + 90 = 270

Therefore, based on these values we have identified that the options (B), (C), and (D) forms the triangle.

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Answer:

-1/2y+1/2x

Step-by-step explanation: