Can someone help me with this pls

Answer:

( 2A - kn) /k = m

Step-by-step explanation:

A = k/2(m+n)

Multiply each side by 2/k

2/k *A =2/k * k/2(m+n)

2A /k = m+n

Subtract n from each side

2A /k - n = m+n -n

2A /k - n = m

Getting a common denominator

2A/k - kn/k = m

( 2A - kn) /k = m

Answer:

Step-by-step explanation:

\(A=\frac{k(m+n)}{2}\\2A=k(m+n)\\\frac{2A}{k} =m+n\\\frac{2A}{k}-n=m\\2A-kn=km\\\frac{(2A-kn)}{k}=m\)

Answer:

c.

Step0-by-step explanation:

you can plug both points into the equations

or you can just write it out using the point slope equation y-y₁=m(x-x₁)  

plug in (5,1)

y₁=1 x₁=5

slope is difference of y/difference of x

m=(7-1)/(4-5)=-6

plug in to  y-y₁=m(x-x₁) and you get

y - 1 = -6(x-5)

The solution to the system of equations are x = -6, y = 2.The correct answer is option C.

To find the solution to the system of equations, we can graph the two equations and determine the point of intersection, if any. The options provided are:

A. No solution

B. x = 13/12, y = -3/4

C. x = -6, y = 2

D. More than 1 solution

First, let's rearrange the equations in slope-intercept form (y = mx + b):

Equation 1: 4y + 12x = 10

4y = -12x + 10

y = (-3x/1) + (5/2)

Equation 2: 2y - 6x = -8

2y = 6x - 8

y = (3x/1) - 4

Now we can graph these equations and look for the point of intersection:

Upon graphing the equations, we find that they intersect at the point (x = -6, y = 2). Thus, the correct answer is C. x = -6, y = 2.

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Answer:35/24

Step-by-step explanation:

7/12 ➗ 2/5

Next step we change divide sign to multiplication,with the numerator and denominator of the right hand fraction inverted

7/12 x 5/2

(7x5)/(12x2)

35/24

The quotient of 7/12 divided by 2/5 is 35/24.

To divide fractions, you need to multiply the first fraction by the reciprocal (or the multiplicative inverse) of the second fraction.

The reciprocal of a fraction is obtained by swapping the numerator and the denominator.

So, to find the quotient of 7/12 divided by 2/5, you multiply 7/12 by the reciprocal of 2/5, which is 5/2.

Here are the steps:

Write down the first fraction: 7/12

Write down the reciprocal of the second fraction: 5/2

Multiply the first fraction by the reciprocal: (7/12) x (5/2)

Multiply the numerators: 7 x 5 = 35

Multiply the denominators: 12 x 2 = 24

Simplify the fraction, if possible: 35/24

Therefore, the quotient of 7/12 divided by 2/5 is 35/24.

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Sam earns $42,900 per year.

And you are asked to find how much he earns every two weeks (which is normally how most workers get paid)

So, we need to recall that there are a total of 52 weeks in a full year.

Then using this, we can find how much he earns per week, simply by dividing $42,900 by 52:

When you do the division, you get 825, which means that every week he earns $825.

Recall now that you are asked what his bi-weekly salary is. That is the salary every two weeks. So we just need to multiply the $825 times two in order to get the final answer:

Sam's biweekly salary is: $1,650

Answer:

180

Step-by-step explanation:

Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188

The value of the composite function (mn)(-3) is 9

The given parameters are:

m(x) = x

n(x) = -3

The composite function is given as

(mn)(x)

The above composite function is calculated as

(mn)(x) = m(x) * n(x)

Substitute -3 for x in the above function

So, the above function becomes

(mn)(-3) = m(-3) * n(-3)

So, the above function becomes

(mn)(-3) = -3 *-3

Evaluate the product in the above equation

So, we have

(mn)(-3) = 9

Hence, the value of the composite function (mn)(-3) is 9

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Complete question

If m(x) = x and n(x) = -3, calculate ( m n ) (x) for x = −3

Answer:

E. 1/3

Step-by-step explanation:

In this sequence, the numbers are descending and are 1/3 of the previous number.

243 / 3 = 81

81 / 3 = 27

9 / 3 = 3

3 / 3 = 1

1 / 3 = 1 / 3 (the next term)

Answer:

50.24 yd²

Step-by-step explanation:

pi r² = (3.14)(4)² = 50.24

The given expression is

Let's multiply

Answer:

21

Step-by-step explanation:

Answer:

Step-by-step explanation:

To convert 10,009 to 17%, turn 17% to decimal and multiply that by 10,009 (10,009 * 0.17), which equals 1,701.53

IF you meant to convert the fraction 10,009/17% (read as "10,009 out of 17 percent, ") then simply convert 17% to a decimal (0.17) and divide 10,009 by 0.17 (10,009/0.17) which is about 58,876.47, for full decimal, use a calculator and do 10,009/0.17

The question is kind of confusing so tell me what you meant

Answer:

y=2x-2

I hope this helps:

Answer:

m<wzx = 71

Step-by-step explanation:

Assuming these are interior angles of a triangle.

The sum of all three interior angles of a triangle is always 180 degrees, therefore:

m<xyz + m<wxz + m<wzx = 180

Substitute our values:

58 + 51 + m<wzx = 180

m<wzx = 180 - 58 - 51

m<wzx = 71

Domain: All real numbers or (-infinity, infinity)

Range: [-8, infinity)

Answer:

50.6

Step-by-step explanation:

Answer:

The least amount he could spend to get his car above half full would be $3.90

Explanation:

Half of 12 is 6 therefore 6.1 is above half.

6.1 minus 5.1 is 1.

If gas is $3.90 per gallon then,

3.90

* 1

is 3.90

Answer:

Probability is 0.831727

Step-by-step explanation:

The probability can be calculated as below

There are multiple scenarios

Scanerio 1

0 occurance & No damage = 1 - 0.2 - 0.03 - 0.001 = 0.769

Scanerio 2

1 occurance & No damage = 0.2 x ( 1 - 0.7 ) = 0.06

Scanerio 3

2 occurance & No damage = 0.03 x ( 1 - 0.7 )^2 = 0.0027

Scanerio 4

3 occurance & No damage = 0.001 x ( 1 - 0.7 )^3 = 0.000027

P(structure will not suffer any damage) = Scanerio 1 + Scanerio 2 + Scanerio 3 + Scanerio 4 = 0.769 + 0.06 + 0.0027 + 0.000027 = 0.831727

If Group 1 trees produce 25 percent more coconuts than Group 2, proportionately, Group 2 trees produce 120 coconuts.

Proportion refers to the two ratios equated to each other.

Proportion shows how much quantity or value is contained in another.

We depict proportions using fractional values, such as fractions, decimals, and percentages.

The number of coconuts produced by Group 1 trees = 150

The percentage by which Group 1 trees produce more than Group 2 = 25%

Let Group 1's production compared to Group 2's = 1.25 (100% + 25%)

Let Group 2's production = 100% = 150/125 x 100

= 120 coconuts

Thus, Group 2 trees would produce 120 coconuts compared to Group 1 trees that produced 150, which was proportionately, 25% more.

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Answer:

slope of perpendicular line = - 2

Step-by-step explanation:

calculate the slope of YZ using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = Y (- 7, - 4 ) and (x₂, y₂ ) = Z (5, 2 )

\(m_{YZ}\) = \(\frac{2-(-4)}{5-(-7)}\) = \(\frac{2+4}{5+7}\) = \(\frac{6}{12}\) = \(\frac{1}{2}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{1}{2} }\) = - 2

The approximate height of the tree is given as follows:

45.6 ft.

The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.

The altitude segment for this problem is given as follows:

14.5 ft.

The bases are given as follows:

5.2 ft and x ft.

Hence the value of x is given as follows:

5.2x = 14.5²

x = 14.5²/5.2

x = 40.4 ft.

Hence the height of the three is given as follows:

5.2 + 40.4 = 45.6 ft.

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The line's slope is \(\frac{1}{2}\) and the distance increases by 1 mile every 2 hours.

What is a good example of a line's slope?

The proportion of the increase in the y-value to the increase in the x-value may also be used to determine slope. For instance: We can get the slope of a line given two locations, P = (0, -1) & Q = (4,1) on the line.

A. Since the line's slope is 2, it follows that the y-variable, which is most likely distance, grows by 2 units for every increment in the x-variable, which is most likely time. The accurate statement is thus: speed is increased by Two miles per hour.

B. Since the line's slope is 2, it follows that the y-variable will drop by 2 units for every unit rise in the x-variable, which is most likely time. The accurate description is thus: speed drops by Two miles per hour.

C. If the line's slope is 1/2, the y-variable will rise by 1/2 unit for every increment in the x-variable, which is probably time. The precise description is that the distance grows by a mile every two hours.

D. If indeed the line's slope is 1/2, the y-variable will drop by 1/2 unit for every unit rise in the x-variable, which is probably time. The precise description is: distance shrinks by a mile every two hours.

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Answer:

No real solutions

Step-by-step explanation:

Discriminant

\(b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0\)

\(\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real solutions}\)

\(\textsf{when }\:b^2-4ac=0 \implies \textsf{one real solution}\)

\(\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real solutions}\)

Given equation:  \(6x^2+6x+3=0\)

\(\implies a=6, \quad b=6, \quad c=3\)

Inputting these values into the discriminant:

\(\implies (6)^2-4(6)(3)=-36 < 0\implies \textsf{no real solutions}\)

Answer:

Annette should plan to spend 2.25 hours walking back.

Step-by-step explanation:

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's assume the distance of the race is D miles.

Annette spends her time running the distance of the race, which takes:

Time running = D / 9 hours

She then walks back the same distance, which we need to find the time for:

Time walking = D / 3 hours

Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:

D / 9 + D / 3 = 3

To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:

D + 3D = 27

Combining like terms:

4D = 27

Dividing both sides of the equation by 4:

D = 6.75

So, the distance of the race is 6.75 miles.

To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:

Time walking = D / 3 = 6.75 / 3 = 2.25 hours

Therefore, Annette should plan to spend 2.25 hours walking back.

The required probability is 3 √7 / 32.

Given, a square with sides of length 4 units and a red-shaded triangle with sides 3 units, 3 units and 4 units. We need to find the probability that a randomly selected point within the square falls in the red-shaded triangle.To find the probability, we need to divide the area of the red-shaded triangle by the area of the square. So, Area of square = 4 × 4 = 16 square units. Area of triangle = 1/2 × base × height.

Using Pythagorean theorem, the height of the triangle is found as: h = √(4² − 3²) = √7

The area of the triangle is: A = 1/2 × base × height= 1/2 × 3 × √7= 3/2 √7 square units. So, the probability that a randomly selected point within the square falls in the red-shaded triangle is:  P = Area of triangle/Area of square= (3/2 √7) / 16= 3 √7 / 32.

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