A high school teacher grades a math test. She wants to see the numericalgrade of each student. Which item should she use so she can quickly seehow many students got each score? A. Line plot B. None of these C. Frequency table D. Pie chart

Answer: 1/4

Step-by-step explanation:

1/2-1/4=1/4 because 1/4x2=2/4 and 2/4=1/2

Answer: 1/4 mile

Step-by-step explanation: so 1/2  = 2/4. You stop after 1/4, so subtract. You get 1/4, meaning you have to walk 1/4 mile. Also, r u sure you're in college, cuz this problem is pretty easy.

Given the function;

The first derivative of the function is;

At critical points;

Thus, the f(x) at x=-4 is;

Thus, the absolute maxima on the given point is;

The absolute minima on the given points is;

The Area of a rectangle can be calculated by using the formula:

Where A is the area, L is the length and W is the width.

By replacing the given values, your equation will be:

Do the next steps to find the value of y:

Thus, the value of y is 5 ft.

Given data:

The first given equation is x-3y+2z=5.

The second given equation is 2x-4y+3z=8.

Third equation is -2x+4y-2z =-12.

Add second and third equations.

Substitute -4 for z in first and second equations.

The value of x is,

Thus, the value of x is 4, the value of y is -3, and the value of z is -4.

Solution

- The length BP is the half of length BC.

- The Diameter is AD and it divides the chord into two equal parts.

- Thus, BP is half of BC. This means that

Final Answer

BP = 24

The formula for the circumference of a circle given it's radius is :

C = 2πr

Reversely, the formula for the radius given it's circumference is :

r = C/2π

From the given problem, the circumference is 63 inches,

Solve for the radius using π = 3.14

r = 63/(2 x 3.14)

r = 10.03 inches

So the answer is Choice C. 10 inches

It must pay 8% of $2050 which is $2050*8% = $164

The first question

can be rewritten by polynomial division since the quadratic polynomial is not easy to factorize by inspection

The 2nd question

so, it can be solved by inspection.

The 3rd question

can be rewritten by polynomial division since the quadratic polynomial is not easy to factorize by inspection

Finally, 4th question

can be rewritten by polynomial division.

By definition, the standard deviation is

It seems hard so let's do it step by step, first, let's find the mean of the data

Now we have the mean value, let's do each value of the set minus the mean value

Now we have the difference between each element and the mean value, let's do the square of all values

Now we have the square of the difference we sum them

Now we have the sum we must divide by the number of elements, in that case, 5 elements

Now we take the square root of that value to have the standard deviation!

We write it using only one decimal the result would be

With no rounding.

Final answer:

Answer:

Explanation:

First of all, we know that

And knowing the unit circle, we know that the sine takes negative values in 3rd and 4th quadrants. Therefore, from the above value of the angle, If we go π radians counterclockwise, we encounter negative values of sine; hence,

The second value of the angle that yields the above value for sine is found by adding π/2 radians to the angle above (we are now in the 4th quadrant)

Hence, the two values of angles between 0 and 2π are 5π/4 and 7π/4.

1) Solving for y, the following expression

6y -4 = 3y +2 Add 4 to both sides

6y = 3y +2+4

6y = 3y +6 Subtract 3y from both sides

6y -3y = 6

3y = 6 Divide both sides by 3

y= 2

S={2}

2) So the solution for this is y=2

Answer:

2842

Explanation:

The first multiple of 7 =7

The last multiple of 7 before 200 = 196

This problem forms an arithmetic sequence where:

• The first term, a= 7

• The last term, l = 196

To determine the sum, we find first the number of multiples of 7 between 7 and 196.

For a sequence with first and last terms, its sum is:

The sum of all multiples of 7 between 1 to 200 is 2842.

•

A cubic inch is the same an inch to the third power.

If we use our measurement conversion

In our previous equation, we have

Solving this product, we have

Then, this is our answer.

We have the original price P and it will increase a rate r%, we can express is as

As we can see, P is the original price and P*r is what's going to be added to the original price, we can even simplify it to

That's a generic expression to find it, so here we have P = 153 and r = 19% = 0.19, then

The price will be $182.07

the numbers of children we have

6 children group , 9 children group or 10 children group

for equal quantity of peanuts among these groups will be LCM of these groups

so LCM of 6 , 9 , 10 is

6 = 2 x3

9 = 3 x 3

10 = 2 x 5

so, the LCM is 2 x 3 x 3 x 5 = 90

so smallest number of the peanuts will be 90

Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, 1 and the number itself.

For example, if we take the number 30. We know that 30 = 5 × 6, but 6 is not a prime number. The number 6 can further be factorized as 2 × 3, where 2 and 3 are prime numbers. Therefore, the prime factorization of 30 = 2 × 3 × 5, where all the factors are prime numbers.

Let us take another example and solve for its prime factorization

Prime factorization of 72

Hence, the prime factorization of 72 = 2³×3².

Finally,

Using the table to find the equation:

Let x is the number of months, and y is the height of the tree

The general form of the line y = mx + c

where m is the slope and c is the y-intercept

So, at the beginning at x = 0 , y = 600

So,

600 = m * 0 + c

c = 600

When x = 3 , y = 602

so,

602 = 3m + 600

solve to find m

602 - 600 = 3m

3m = 2

m = 2/3

So,

b. What does the slope represent?

The slope represents the rate of growth each month

which mean the tree grow (2/3) inches per month

c. What does the y-intercept represent?

y-intercept represents the first height of the tree

Solution

For this case we can create the following diagram:

For this case we want to find the value of x and we can use the following property:

And solving we got:

Okay, here we have this:

We need to simplify the following expression:

Finally we obtain that the correct answer is the option B.

Explanation

We are given the expression below:

We are required to rewrite the expression without a negative exponent.

This can be achieved thus:

Hence, the answer is a⁴.

We can start answering this having that a rectangle is a parallelogram. The diagonals of a parallelogram bisect each other. Therefore, we have that the sides Q to the point where the diagonals intersect each other of the rectangle is congruent to R to this point. Then, we have two congruent sides.

The angles opposite to these sides are congruent too. They have the same measure. Since we have a triangle, and the sum of the internal angles of a triangle is equal to 180, we can say that:

Then, we have:

Subtracting 50 from both sides of the equation, and then dividing this equation by 2, we have:

Therefore, the measure of angle 2 (m<2) is equal to 65 (degrees) (last option).

The labelled triangle is shown below

The required center is the point where the perpendicular bisectors meet. It is called the circumcenter. We would find it by applying the midpoint method. The midpoint formula is expressed as

midpoint, M(x, y) = (x1 + x2)/2, (y1 + y2)/2

For AB,

x1 = - 4, y1 = 0

x2 = 4, y2 = 0

Midpoint = (- 4 + 4)/2, (0 + 0)/2 = (0, 0)

For AC,

x1 = - 4, y1 = 0

x2 = 0, y2 = 4

Midpoint = (- 4 + 0)/2, (0 + 4)/2 = (- 2, 2)

For BC,

x1 = 4, y1 = 0

x2 = 0, y2 = 4

Midpoint = (4 + 0)/2, (0 + 4)/2 = (2, 2)

We woulf find the slope of AC

Slope, m = (y2 - y1)/(x2 - x1) = (4 - 0)/(0 - - 4) = 4/(0 + 4) = 4/4

m = 1

Slope of the line per

so

now by division, we can write

when we divide by a fraction, we multiply by its reciprocal

To answer this question, we need to remember that a line is parallel to another one if its slopes are the same. A line parallel to y = 3x + 8 must has a slope, m = 3.

Now, to find the parallel line, we can use the point-slope form of the line equation as follows:

1. The point for which the line passes through is (4, 5):

Then, we have:

(4, 5) ---> x1 = 4, y1 = 5

m = 3

Then

Therefore, the equation of the line parallel to y = 3x + 8 that passes through the point (4, 5) is y = 3x - 7.

The fraction for strawberries, apples, and oranges is 12/21, 1/21, and 8/21 respectively.

A fraction depicts a portion of an entire. This entire could be a location or a group of things. The Latin word "fraction," which means "to break," is where the word "fraction" comes from. In mathematics, a fraction is represented by a numerical value that designates a portion of an entire. The numerator displays how many pieces the whole has been divided into. It is positioned at the top of the fraction, beneath the fractional bar is the denominator.

Given,

Number of strawberries = 24

Number of apples = 2

Number of oranges = 16

So, the total number of fruits is given as

= 24 + 2 + 16

= 42

The fraction for strawberries = 24/42

=12/21

The fraction for apples = 2/42

= 1/21

The fraction for oranges = 16/42

=8/21

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Recall the conversion

1 quarts = 4 cup

Given that there is 15 cups, multiply it by the ratior of quarts to cup, making sure that the cup is in the denominator

Therefore, 15 cups is equivalent to 3 and 3/4 quarts.

Given A, the matrix that contains the vertices of a rectangle on the plane, calculate 3A as shown below

Where each column of the 4x2 matrix above represents a vertex of the new rectangle; therefore, the 4 vertices are

Explanation :

• The standard linear function takes the form of y = mx +c

• Since the Pauls profit is given by the formula ,P = 1.05b -151,, The curve of this profit is in line with the slope ,m = 1.05, as comparing with the standard linear fuction.

• Therefore, Paul profit is increasing at a rate of 1.05 dollar per bottle.,

From visual inspection it is clear that the best fitting regression model for this scatterplot is linear.

In the graph we can clearly see that the points form an almost straight line with a negative slope.

Now we know that a straight line has an equation of y = mx + c

The regression equation will be Y = aX + b which is a linear equation.

The mathematical figure known as a scatter plot, also known as a scatter graph, scatter chart, scattergram, a scatter diagram, uses Cartesian coordinates to display values in typically two variables for a set of data.

One more variable can be shown if a points are color, shape, and size coded. The data are represented as a set of points, where each point's position on the horizontal axis is determined by the value of one variable, and its position on the vertical axis by the value of the other variable.

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ANSWER

Yes

EXPLANATION

Your friend is correct.

First he divided both sides by 9: 36 divided by 9 is 4

Then he did the square root, which has two results: one positive and one negative. This gives +2 and -2.

Another way to check the result is to replace it into the equation. If the equation is true, then the result is correct: