62+(3·4)−24
PLS HELP MEEEEEEEE

Answer:

a i think

Step-by-step explanation:

Answer:

Y = -5 + 5

Step-by-step explanation:

You can check the y intercept and it's a negative 5 slope

Step-by-step explanation:

angles in a straight line add ap too 180

form an equation by adding the given degrees and equate to 180

Answer:

1 3/16

Step-by-step explanation:

Answer:

1.1875 or 1 3/16

Step-by-step explanation:

you just put it into a calculator

Answer:

\((0,-5)\)

General Formulas and Concepts:

Pre-Alg

Alg I

Step-by-step explanation:

Step 1: Define

Point (-4, -9)

Point (4, -1)

Step 2: Find midpoint

In linear equation, x = 18 is the value of x in equation .

What is a linear equation example?

6x +4(x - 10) = 140.

6X + 4X - 40 = 140

10X = 140 + 40

10x = 180

  x = 180/10

  x = 18

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The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

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Answer i think is 395 km

Step-by-step explanation:

the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

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Answer:

\(y - 4 = - 3(x - 2)\)

Answer:

a) The maximum Jenna's employer will allow for her contribution is $24,000.

b) The maximum contribution she could make is $22,000.

c) Her employer's maximum contribution amount is $8,640.

Step-by-step explanation:

a) What is the maximum Jenna's employer will allow for her contribution?

The maximum Jenna's employer will allow for her contribution = Jenna's annual salary * Maximum percentage allowed by her employer = $96,000 * 25% = $24,000

b) What is the maximum contribution she could make?

The maximum contribution she could make = The maximum allowable contribution to any 401K for the year in question = $22,000

c) What is her employer's maximum contribution amount?

Her employer's maximum contribution amount = Jenna's annual salary * 9% = $96,000 * 9% = $8,640

Answer:

$8.62

Step-by-step explanation:

15% is practically 0.15, and when you say 15% OF 57.45, the "of" refers to multiplication. This means, 15% of 57.45 is basically 0.15*57.45, or 8.6175. Since we're talking about money, that would be rounded to $8.62

Answer:

$8.62

Step-by-step explanation:

"%" means "divide by 100"

"of" means "times"

15% of $57.45 = 0.15×$57.45 = $8.6175 ≅ $8.62

Therefore, the probability that AT LEAST ONE of them has been vaccinated is 0.98693

If 58% = 58÷100 of the people have been vaccinated, then;

1 - (58/100) = 42% = 42÷100 of the people who have not been vaccinated.

Now:

Probability, P( > 1 ), that at least one of the selected four has been vaccinated is given by;

P( > 1 ) = 1 - P(0)                 -----------(1)

Where;

P(0) = probability that all of the four have not been vaccinated.

P(0) = P(1) x P(2) x P(3) x P(4)×p(5)

Where;

P(1) = Probability that the first out of the four has not been vaccinated

P(2) = Probability that the second out of the four has not been vaccinated

P(3) = Probability that the third out of the four has not been vaccinated

P(4) = Probability that the fourth out of the four has not been vaccinated

P(5)=Probability that the fifth out of the five has not been vaccinated

Remember that 42÷100 of the population has not been vaccinated. Therefore,

P(1) = 42÷100    

P(2) = 42÷100

P(3) = 42÷100

P(4) = 42÷100

P(5)=42÷100

P(0) = (42÷100) x (42÷100) x (42÷100) x (42÷100)×(42÷100)

P(0) = (42÷100)⁵

P(0) = (0.42)⁵

P(0) = 0.013067

Therefore, from equation (1);

P( > 1 ) = 1 -0.013067

P( > 1 ) = 0.98693

Therefore, the probability that AT LEAST ONE of them has been vaccinated is 0.98693

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Step-by-step explanation:

Given

1/5 + 3/4

= ( 4 + 15) / 20

= 19/20

Next question

2/3 + 1/8

= ( 16 + 3) / 24

= 19 / 24

Hope it will help :)❤

Answer:

30

Step-by-step explanation:

40 percent *75

= (40/100)*75

= (40*75)/100

= 3000/100 = 30

Using the calorie count C for a serving of food C =5h + 8f + 5​p, the formula for f is derived to be; f = (C - 5h  - 5​p) / 8

An equation is an expression that shows the relationship between two or more numbers and variables.

WE have been Given data that C =5h + 8f + 5​p

Where C is the calorie count, h is the number of grams of carbohydrate, f is the number of grams of fat and p is the number of grams of protein

Now solving for f in the given equation;

C = 5h + 8f + 5​p

Then f the subject of formula;

C - 5h  - 5​p = + 8f

8f = C - 5h  - 5​p

Now dividing through by 8

f = (C - 5h  - 5​p) / 8

Hence, The number of grams of fat, f, contained in a serving of food is; f = (C - 5h  - 5​p) / 8

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The value of x is 15.5

Two triangles are similar if their corresponding angles are equal and their corresponding sides are within the same ratio (or proportion). Similar triangles will have the same shape, but not necessarily the same size.

To find the value of x, we use Pythagoras theorem to find the other side of the small triangle. represent it by y

y= √18² + 15²

y =√ 324 + 225

y = √ 549

y = 23.43

using similar triangle theorem;

15+x/23.43 = 23.43/18

= 18(15+x) = 23.43×23.43

18(15+x) = 549

15+x = 30.5

x = 30.5-15

x = 15.5

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Howdy! My name is Christian and I’ll try and help you with this question!

Date: 9/28/20 Time:  8:12 pm CST

Answer:

They are equal

Explanation:

2.12 extended is 2.120, therefore both are equal.

Hope this helps you with your question!

Sincerely,

Christian

Answer:

A

Step-by-step explanation:

because all the other ones are facts

Answer:

y equals 2/3 x plus 4 is correct.

The equation y= 1/3x  + 4 represents a linear function.

A linear function is a function that can be represented by a straight line. The equation of a linear function is typically in the form y = mx + b, where m represents the slope and b represents the y-intercept.

1. 2x − 4 = 6 is a linear equation, but it is not a function because it does not isolate y.

2. x = −2" represents a vertical line with a slope of infinity, but it does not have the form y = mx + b.

3. y = 1/2x² represents a quadratic function because it contains x raised to the power of 2.

4. y= 1/3x  + 4 represents a linear function.

Therefore, the equation y= 1/3x  + 4 represents a linear function.

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Answer:

0 is the answer

Step-by-step explanation:

0 the answer is 0

Answer:

Step-by-step explanation:

The line segment joining two points P and Q can be represented by the equation of a straight line in the form y = mx + b, where m is the slope and b is the y-intercept.

To find the equation of the line, we need to find the slope, which can be calculated using the formula:

m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the points P and Q, respectively.

In this case, the coordinates are:

P = (-3, 2) and Q = (5, 7)

So, the slope is:

m = (7 - 2) / (5 - (-3)) = 5 / 8

Next, we can use either of the points to find the y-intercept. Let's use point P:

b = y - mx, where y and x are the y and x coordinate of the point, respectively.

In this case,

b = 2 - m * (-3) = 2 - (5/8) * (-3) = 2 + 15/8 = 89/8

So, the equation of the line joining the points P and Q is:

y = (5/8)x + 89/8

Now, to find the point where the line crosses the y-axis, we need to find the x-coordinate of the point where y = 0.

So, we have:

0 = (5/8)x + 89/8

Solving for x, we get:

x = -(89/8) / (5/8) = -89 / 5

This means that the line crosses the y-axis at the point (-89/5, 0). To find the ratio in which the line segment is divided by the y-axis, we need to find the ratio of the distance from the y-axis to point P to the distance from the y-axis to point Q.

Let's call the point of intersection with the y-axis R. The distances are then:

PR = (3, 2) and QR = (5 - (-89/5), 7)

The ratio of the distances is then:

PR / QR = (3, 2) / (5 - (-89/5), 7) = 3 / (5 + 89/5) = 3 / (94/5) = 15/47

So, the line segment joining the points P and Q is divided by the y-axis in the ratio 15:47.

Answer:

Step-by-step explanation:

In order to find two unknown values, length and width of a rectangle, you must have two independent relations between those values. One relation is given in the problem statement:

  L = 2W -65 . . . . . length is 65 ft less than twice the width

Another relation is given by the formula for the perimeter of a rectangle:

  P = 2(L +W) . . . . with P = 770 given in the problem statement

__

Using the first relation for L, we can substitute into the relation for perimeter to get ...

  770 = 2((2W -65) +W)

  770 = 6W -130 . . . . . . . . simplify

  900 = 6W . . . . . . . . . add 130 to both sides

  150 = W . . . . . . . . divide both sides by 6

  L = 2(150) -65 = 235 . . . . . use the equation for L to find the length

The base is 235 feet long and 150 feet wide.

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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The equation of the line that passes through (4, 3) and (-4, -1) is y = -x/2 + 5. So, correct option is A.

To find the equation of the line that passes through two given points, we use the slope-intercept form of a linear equation, which is:

y = mx + b

where m is the slope of the line and b is the y-intercept.

First, we need to find the slope of the line using the two given points. The formula for finding slope between two points is:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Substituting the given points into the formula, we get:

m = (-1 - 3) / (-4 - 4) = -4/8 = -1/2

Now we know the slope, we can use one of the given points (4, 3) and substitute the slope into the slope-intercept form of the equation and solve for b.

y = mx + b

3 = (-1/2)(4) + b

3 = -2 + b

b = 5

Therefore, the equation of the line that passes through (4, 3) and (-4, -1) is:

y = -x/2 + 5

So, correct option is A.

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Complete question is:

What is the equation of the line that passes through (4, 3) and (-4, -1)?

Choices:

y = -x/2 + 5

y=2x+7

y=x/2 +1

y= -x/2 +7

Answer:

Substitution

Substitution

Elimination

Elimination

Substitution

Elimination

Explanations are given below

Step-by-step explanation:

Hello!

This is because you already have a solution for a variable, y, and you can simply plug in the value of y for the second equation

The same thing as above, you already have the value of y, and you can simply plug it into the second equation.

You should use elimination because you can simply eliminate the variable y by adding the two equations, as they have the same coefficient of 3.

Same as above, simply add the two equations to eliminate x, because they have the same coefficients of 7.

You have the value for y, so simply plug it into the other equation to solve for x.

You have -2x in both equations, and subtracting the equations will eliminate the variable x, and you can then solve for y.

The production of the products are given with the profit that is $1250 per week.

Profit is the term used to describe the monetary gain experienced when the revenue from a business activity outpaces the costs, costs, and taxes incurred to maintain the activity in question.

Production of Product 1 = 50 units per week

Production of Product 2 = 0 units per week

Production of Product 3 = 145 units per week

Production of Product 4 = 10 units per week

A business's profit is the money left over after all costs have been deducted. Any business, whether it be a lemonade stand or a publicly traded multinational corporation, has as its main objective making money. resulting, a business's success is measured by its profitability in all of its forms.

On the bases of analyst, profitability before taxes and other expenses may be more important to them than top-line profitability.

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Answer:

Step-by-step explanation:

The corresponding areas under the curves for y = 2x-x² in the interval [1, 2] and y = x³-6x²+8x in the interval [0, 4] are 2/3 unit² and 0 unit²

Given:

1. y = 2x-x² in the interval [1, 2]

2. y = x³-6x²+8x in the interval [0, 4]

In order to find  the area under the curve for these functions for the given intervals, we will take the integral of the functions and use the intervals as upper and lower limits: Thus:

y = 2x-x² in the interval [1, 2]  will be:

\(\int\limits^2_1 {2x-x^{2} } \, dx = \left[\frac{ 2x^2}{2}-\frac{ x^3}{3}\right]_1^2\)

                   \(= \left[x^{2} -\frac{ x^3}{3}\right]_1^2\)

Substitute the value of the upper and lower limits into x:

               =  [2²- 2³/3] - [1²- 1³/3]

              =   [4 - 8/3] - [ 1 - 1/3]

              =   [4/3] - [2/3]

              = 2/3 unit²

y = x³-6x²+8x in the interval [0, 4] will be:

 \(\int\limits^4_0 {x^{3} -6x^{2} + 8x } \, dx = \left[\frac{ x^4}{4}-\frac{ 6x^3}{3}+\frac{ 8x^2}{2}\right]_0^4\)

                               \(= \left[\frac{ x^4}{4}- 2x^3+4x^2\right]_0^4\)

                              = [4⁴/4 - 2(4)³ + 4(4)²] - [0⁴/4 - 2(0)³ + 4(0)²]

                              =  [ 64 - 128 + 64] - [0 - 0 -0]

                              = 0 unit²

Therefore, the areas under the curves y = 2x-x² in the interval [1, 2]

and y = x³-6x²+8x in the interval [0, 4] are 2/3 unit² and 0 unit² respectively

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Answer:

42.7 mm

Step-by-step explanation:

To the nearest tenth of a mm, 42.67 mm would be 42.7 mm.

After estimate of this value rounded to the nearest tenth of a millimeter,

⇒ 42.67 ≈ 42.7

We have to given that,

According to the United States Golf Association, the diameter of a golf ball should not be less than 42.67 millimeters.

Hence, After estimate of this value rounded to the nearest tenth of a millimeter, we get;

⇒ 42.67

As, 7 is grater than 5, so we can add 1 to the tenth place.

⇒ 42.67 ≈ 42.7

Therefore, After estimate of this value rounded to the nearest tenth of a millimeter,

⇒ 42.67 ≈ 42.7

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