The Terrell Middle School wants to plant a community garden. They plan togrow and harvest vegetables, which will then be sold to raise funds for futuregardening.1. The science teacher, Ms. Maeda, wants the school to start composting.She borrows $392 from a school fund for supplies to make thecompost bins.Part AStudents plan to pay back half the debt now through fundraising,and the rest after the harvest. Write and solve an equation to representthe debt they will repay through fundraising. Use a negative integer toshow debt.

Answer:-1/6

Step-by-step explanation:

Draw a line out in the 2nd quadrant.

Your y=\(\sqrt{35}\)    hypotenuse=6  use pythagorean theorem to solve for x

6² = 35 + x²

x=1

so

cosΘ = -1/6

The true statements are

The value of f(–10) = 82

The graph of the function is a parabola.

The graph contains the point (20, –8).

A parabola is a type of conic section that is formed when a plane intersects a cone in such a way that the angle between the plane and the vertical axis of the cone is equal to the angle between the plane and a generator (a straight line passing through the vertex and the base of the cone).

The resulting shape is a symmetrical, U-shaped curve. The standard form of the parabola is a quadratic function.

Here we have

The quadratic function f(x) = x²/5 – 5x + 12

Now check each option as follows

1. The value of f(–10) = 82

To check this find f(-10) as follows

f(-10) =1/5 (-10)²– 5(-10) + 12 = 20 + 50 + 12 = 82

Hence, The value of f(–10) is equal to  82

2. The graph of the function is a parabola.

As we know the standard equation of a parabola is a quadratic function that is in the form of ax² + bx + c

Hence, the quadratic function represents a parabola

3. The graph of the function opens down.

In the given function f(x) = x²– 5x + 12, the coefficient of the x² term is 1. Since the coefficient of x² is positive, the parabola opens upwards.

Hence, The graph of the function opens down is false

4. The graph contains the point (20, –8).

To check this substitute the point in f(x)

=> –8 = 1/5(20)²– 5(20) + 12

=> –8 = 80 – 100 + 12

=> –8 = –8   [ Which is true ]

Hence, The graph contains the point (20, –8).

5. The graph contains the point (0, 0).

=>  0 = (0)²– 5(0) + 12

=>  0 = 12   [ which is not true ]

Hence, The graph doesn't contain the point (0, 0).

Therefore,

The true statements are

The value of f(–10) = 82

The graph of the function is a parabola.

The graph contains the point (20, –8).

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The x-coordinate of the solution to the given system of equations is -5.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

The system of equations is given as:

-2x - y = 6 (multiply both sides by 3)

8x + 3y = -28 (multiply both sides by 1)

-6x - 3y = 18

8x + 3y = -28

Add the two equations to eliminate y:

2x = -10

Divide both sides by 2 to solve for x:

x = -5

Therefore, the x-coordinate of the solution to the system of equations is -5.

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Input Variable: Height (h), Output Variable: Temperature (T)

Axes: h (km) | 0 | 1 ,  T (°C) | 10 | 10

Slope: 0 (The temperature does not change with increasing height)

The theory used in this question is the ideal gas law, which states that the pressure, volume, and temperature of an ideal gas are directly proportional.

As the dry air moves upward, it expands and the temperature decreases. This is why the temperature at a height of 1 km is 10°C.

Determine the input and output variables:

The input variable is the height (h) and the output variable is the temperature (T).

Draw and label two axes: On the x-axis, label it "h (km)" and on the y-axis, label it "T (°C)".

Plot and label the two points you were given:

Plot a point at (0, 10) and another point at (1, 10).

Determine the slope of the line between your two points:

The slope of the line between the two points is 0, indicating that the temperature does not change with increasing height.

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Answer:

The probability that the selected number is an odd number or a multiple of 3 is 6/9, or 2/3. This is because there are 6 numbers that meet the criteria out of the 9 numbers in the set: 1, 3, 5, 7, 9, and 3.

Answer:

the answer would be A. The triangular prism is larger by 209 square cm

Step-by-step explanation:

The cost of each bag of walnut can be determined following the below steps and each bag of walnut is $1.89

Total receipt= $17.92

4 batches of chocolate chip walnut cookies requires 4 bags each of chocolate chips and walnuts if each batch requires 1 bag each of chocolate chips and walnuts

Cost of chocolate chips = $2.59

Cost of 4 bags of chocolate chips = 4($2.59)

= $10.36

Total cost of 4 bags of walnuts = Total receipt - Cost of 4 bags of chocolate chips

= $17.92 - $10.36

= $7.56

Cost of each bag of walnut= Total cost of 4 bags of walnuts / 4

= $7.56 / 4

= $1.89

Therefore, each bag of walnut cost $1.89

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Answer: Step 1: Divide 17.92 by 4

              Step 2: Subtract 2.59 from 4.48

Step-by-step explanation:

Answer:

−3/2

Step-by-step explanation:

Hope this helps

:D

Michael has around 150 hits.

Michael:

The number of hits he has is therefore:

= Number of bats x Proportion of bats hit

= 450 x 1/3

= 450 /3

= 150 hits

In conclusion, Michael should therefore have around 150 hits.

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The absolute value function as a piecewise function f(x) = |- x² - 8x - 7| is

f(x) = { - (x² + 8x + 7) , x ≤ -7 or x ≥ -1    

        { x² + 8x + 7 , -7 < x < -1

What is meant by absolute value?

Absolute value is a mathematical function that gives the distance of a number from zero on a number line. It is denoted by two vertical bars enclosing the number and always returns a non-negative value.

What is meant by piecewise function?

A piecewise function is a function that is defined by different expressions or rules on different parts or intervals of its domain. The domain is divided into pieces, and each piece has its own expression or rule.

According to the given information

When x² + 8x + 7 ≥ 0, we have:

f(x) = |-(x² + 8x + 7)| = -(x² + 8x + 7)

When x² + 8x + 7 < 0, we have:

f(x) = |x² + 8x + 7| = x² + 8x + 7

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Answer: 0.125

Step-by-step explanation: Divide the 2 by 16, which should give you 0.125. The other answers are 2.5 and 3.

If 16 quarters is equal in value to 2 toonies, then the value in cell A equals 1/8

16  quarters  =  2  toonies

Cell A represents the number of toonies in 1 quarter

There are 2 toonies in 16 quarters

There are x toonies in 1 quarter

That is:

2  toonies   =   16 quarters

x  toonies   =  1 quarter

Cross multiply:

16x    =  2

Divide both sides by 16

\(\frac{16x}{16} = \frac{2}{16}\\\\x = \frac{2}{16}\\\\x = \frac{1}{8}\)

If 16 quarters is equal in value to 2 toonies, then the value in cell A equals 1/8

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The interviewer should provide clear and concise feedback on the candidate's performance in the interview, and ensure that the feedback is related to the job requirements.

In addition, the interviewer should ask relevant questions to get an idea about the interviewee's knowledge, skills, and abilities.Overall, the interviewer should strive to be fair and objective throughout the interview process, to minimize the risk of Unbiased Errors.

An interviewer officer selects a person not suitable for the job, this error is known as Unbaised Error.What is an Unbiased Error?An Unbiased error happens when you make an incorrect judgment regarding the interviewee, which may occur when the interviewer is unable to assess the interviewee objectively.

There are many factors that could contribute to an Unbiased Error, such as the interviewer's opinions and preconceptions, their biases or prejudices, the interviewer's inadequate understanding of the job requirements, or the applicant's inadequate preparation for the interview.In an unbiased interview, the interviewer does not have any preconceived ideas or predetermined judgments about the interviewee's knowledge, skills, or abilities.

The interviewer should be able to provide equal chances for all applicants, regardless of their gender, ethnicity, or any other factors that are not related to the job requirements.The interviewer should also assess the interviewee objectively, with no favoritism or bias.

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Answer:

\( a + b + c = 5 + 6 + 11 = 22 \)

Step-by-step explanation:

Variable "a" and "b" represents distances on the numberline.

Variable "c" is the combined distance of the values of variable "a" and variable "b" on the numberline.

a = length of red line = |5 - 0| = |5| = 5

b = length of blue line = |11 - 5| = |6| = 6

c = length of black line (red+blue) = |11 - 0| = |11| = 11

Therefore:

\( a + b + c = 5 + 6 + 11 = 22 \)

Answer:

answer is 1350

Step-by-step explanation:

I have seen this question before.

Answer:

Monthly loan payment is $400.76 for 60 payments at 7.5%.

Step-by-step explanation:

Answer:

Quadrilateral: 20.5 units

Triangle: 8.6 units

Step-by-step explanation:

Quadrilateral:
We can use the following formula to find the perimeter of a quadrilateral.

Perimeter = AB + BC + CD + DA

where AB, BC, CD, and DA are the lengths of the four sides of the quadrilateral.

In your case, the coordinates of the vertices of the quadrilateral are A(-3,-1), B(-3,3), C(2,3), and D(4,-1).

Using the distance formula, we can find the lengths of the four sides of the quadrilateral as follows:

\(AB = \sqrt{(-3 - (-3))^2 + ((-1) - 3)^2} = \sqrt{16} = 4\)

\(BC = \sqrt{(-3 - 2)^2 + ((3) - 3)^2} = \sqrt{25}= 5\)

\(CD = \sqrt{(2 - 4)^2 + ((3) - (-1))^2} = \sqrt{4+16} = 2\sqrt{5}\)

\(DA = \sqrt{(4 - (-3))^2 + ((-1) - 1)^2} = \sqrt{49} =7\)

Therefore, the perimeter of the quadrilateral is:

Perimeter = AB + BC + CD + DA

= \(4+5+2\sqrt5+7=20.5\) units

Triangle

The perimeter of a triangle is the total length of all three sides of the triangle. To find the perimeter of a triangle, we can use the following formula:

Perimeter = AB + BC + CA

where AB, BC, and CA are the lengths of the three sides of the triangle.

In your case, the coordinates of the vertices of the triangle are

E(-4,1), F(-2,3), and G(-2,4). Using the distance formula, we can find the lengths of the three sides of the triangle as follows:

\(EF = \sqrt{(-4 - (-2))^2 + ((1) - (3))^2} = 2\sqrt{2}\)

\(FG = \sqrt{(-2 - (-2))^2 + ((3) - (4))^2} = 1\)

\(EG = \sqrt{(-4 - (-2))^2 + ((1) - (4))^2} = \sqrt{4 + 9} = \sqrt{13}\)

Therefore, the perimeter of the triangle is:

Perimeter = EF + FG + EG

= 4 + 1 + \(\sqrt{13}\)

=8.6 units

Therefore, the perimeter of the quadrilateral is 20.5 units and the perimeter of the triangle is 8.6 units

Answer:

Radius: 3units

center: (1,-4)

using trigonometric ratio,

Therefore,

Approximately 34.87% of the readers surveyed don't use e-readers.

To find the approximate sample proportion of readers who use e-readers, we divide the number of readers who said they read books on e-readers (1954) by the total number of readers surveyed (3000):

Approximate sample proportion = Number of readers who use e-readers / Total number of readers surveyed

Approximate sample proportion = 1954 / 3000 ≈ 0.6513

To express this as a percentage, we multiply the sample proportion by 100:

Approximate sample proportion as a percentage = 0.6513 × 100

= 65.13%

Therefore, the approximate sample proportion of readers who use e-readers is approximately 65.13%.

This means that approximately 65.13% of the readers surveyed use e-readers.

To determine the percentage of readers who don't use e-readers, we subtract the sample proportion from 100%:

Percentage of readers who don't use e-readers = 100% - 65.13%

= 34.87%

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All the solutions are,

⇒ x = 1/2 (w- v)

⇒ x = (b - 9)/(a - 2)

⇒ x = (4 + w) / (7 - v)

⇒ x = 2 / (v + w)

⇒ x = 7v/(3w - 4)

Given that;

Expressions are,

⇒ 6x + v = 4x + w

⇒ ax + 9 = 2x + b

⇒ 7x - w = vx+4

⇒ 6 - wx = vx + 4

⇒ 3(wx - v) = 4(x + v)

We can simplify as;

⇒ 6x + v = 4x + w

⇒ 6x - 4x = w - v

⇒ 2x = w - v

⇒ x = 1/2 (w- v)

⇒ ax + 9 = 2x + b

⇒ ax - 2x = b - 9

⇒ (a - 2)x = b - 9

⇒ x = (b - 9)/(a - 2)

⇒ 7x - w = vx+4

⇒ 7x - vx = 4 + w

⇒ (7 - v) x = 4 + w

⇒ x = (4 + w) / (7 - v)

⇒ 6 - wx = vx + 4

⇒ vx + wx = 6 - 4

⇒ (v + w)x = 2

⇒ x = 2 / (v + w)

⇒ 3(wx - v) = 4(x + v)

⇒ 3wx - 3v = 4x + 4v

⇒ 3wx - 4x = 7v

⇒ (3w - 4)x = 7v

⇒ x = 7v/(3w - 4)

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Answer:

Slope- y=1/4x-6

Y intercept= (0,-6)

Hope this helps!

Answer:

C

Step-by-step explanation:

The y axis is vertical so you only change the x value.

The coordinate of C after being reflected across the y-axis is (-6, 3) option (C) (-6, 3) is correct.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have a triangle shown on the coordinate plane.

If ABC is reflected across the y-axis,

Then the coordinate of C

From the figure, the coordinate of C is(before reflection)

C = (6, 3)

The rule for transformation if reflected across the y-axis:

(x, y) → (-x, y)

(6, 3) → (-6, 3)

Thus, the coordinate of C after being reflected across the y-axis is (-6, 3) option (C) (-6, 3) is correct.

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Answer:

angle A: 33.005

Angle B: 35.04

Angel C: 111.955

Step-by-step explanation:

look at attached image for more info

Hope it helps! Have a wonderful day

Answer:

A

Step-by-step explanation:

The two numbers that satisfy the given conditions are 61 and 11. Their sum is 72, and their difference is 50.

Let's assume the two numbers as x and y. We can set up a system of equations based on the given information.

From the first statement, "The sum of two numbers is 72," we can write the equation:

x + y = 72

From the second statement, "Their difference is 50," we can write the equation:

x - y = 50

Now we have a system of two equations with two variables. We can solve this system by using the method of substitution or elimination.

Let's solve the system using the method of elimination:

Add the two equations:

(x + y) + (x - y) = 72 + 50

2x = 122

Divide both sides by 2:

x = 61

Now substitute the value of x into one of the original equations, let's use the first equation:

61 + y = 72

Subtract 61 from both sides:

y = 11

Therefore, the two numbers are 61 and 11.

To verify the solution, we can check if the numbers satisfy both conditions:

61 + 11 = 72 (sum condition)

61 - 11 = 50 (difference condition)

Both conditions are satisfied, confirming that the solution is correct.

Hence, the two numbers are 61 and 11.

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Note the complete and correct question is

The sum of two numbers is 72 and their difference is 50. Find the two numbers​ ?

Answer: 16

Step-by-step explanation: You started with 15 , you lose 7 Monday which leaves you with 8 , 2 on Tuesday which leaves you with 6 , 5 on Thursday which leaves you with 1 and then you received 15 on Friday which brings you to 16

The number of mattresses available now is 16.

Given that, On Monday, the delivery truck delivers 15 new mattresses. Number of mattresses sold on Monday=7, number of mattresses sold on Tuesday=2, number of mattresses sold on Wednesday=0, and number of mattresses sold on Thursday=5.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity.

Let number of mattresses do you now have available be x.

Given that, receive a new order Friday morning of 15 mattresses.

So, x=15-(7+2+0+5)+15

=30-14=16

Therefore, the number of mattresses available now is 16.

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