Drag each statement to the correct location on the table,
Classify each statement based on whether a positive or negative rational number represents it.

Answer:

25%

Step-by-step explanation:

400 divided by 100 = .25 which is 25%

Answer:

the triangle is 10 the rest are 3

Answer:

[1] 8

[2] 10

[3] 8.5

[4] 8

Step-by-step explanation:

[1] What is the mode of the data set?

5,8,8,8,8,9,9,9,10,10

Answer = 8

Explanation: Mode = Appears Most

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[2] How many people were in the sample?

Answer = 10

Explanation:

Each x = 1 person

Hence, it a total of 10 "x" (10 People)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[3] What is the median of the data set?

5,8,8,8,8,9,9,9,10,10

Answer = 8.5

Explanation:

Median = Middle

5,8,8,8,8,9,9,9,10,10

5,8,8,8,8,9,9,9,10,10

8 + 9 = 17/2 = 8.5

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[4]  What is the mean for the data set, to the nearest whole number?

Answer = 8

Explanation:

Mean = Add up all data values to get the sum and Count the number of values in your data set. Divide the sum by the count

5 + 8 + 8 +8 + 8 + 9 + 9 + 9 + 10 + 10 = 84/10=8.4

8.4 Round = 8

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~Lenvy

The fraction represented on the number line is equivalent to 2/6 is 1/3.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

The given fraction is 2/6.

Now we have to find an equivalent fraction to 2/6

Let us divide both numerator and denominator  by the same number 2.

That is, 2÷2/6÷2

= 1/3

Hence, the equivalent fraction is 1/3.

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Answer:

y=5/2x+5

Step-by-step explanation:

Slope intercept form is y=mx+b

m is the slope, and b is the y intercept

FIrst we have to find the slope which is rise/run

Since our points are (-2,0) and (0,5) the equation will be:

5-0/0-(-2)

5/2

The slope is 5/2

Next we have to plug in 5/2 for m:

y=5/2x+b

We know that the y intercept is 5 from the coordinate (0,5)

y=5/2x+5

Answer:

y is  5/2 and x is 5

Step-by-step explanation:

i just know it already x3

some possible equations equivalent to 2x+3y=12 would be:

1)

y=−2x+12/3

written form:

y= negative 2x plus 12 over/divided by 3

2)

y=−2/3x+4

written form:

y= negative 2 over/divided by 3x plus 4

3)

y=4−2/3x

written form:

y= 4 minus 2 over/divided by 3x

4)

y=12−2x/3

written form:

y= 12 minus 2x over/divided by 3

those are all i could think of! Hope this helped :)

If its too complicated comment and ill try to simplify it. remember ITS NEVER WRONG TO ASK QUESTIONS!!!

The equivalent expression for the equation 2x + 3y = 12 are:

x = 6 - 3y/2

y = 4 - 2x/3

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

2x + 3y = 12

We need to find an equivalent expression for this equation.

We can have many forms:

Case 1.

2x + 3y = 12

Subtracting 3y on both sides.

2x + 3y - 3y = 12 - 3y

2x = 12 - 3y

Dividing 2 into both sides.

x = 12/2 - 3y/2

x = 6 - 3y/2

Case 2.

2x + 3y = 12

Subtracting 2x on both sides.

2x + 3y - 2x = 12 - 2x

3y = 12 - 2x

Dividing 3 into both sides.

y = 12/3 - 2x/3

y = 4 - 2x/3

Thus the equivalent expression for the equation 2x + 3y = 12 are:

x = 6 - 3y/2

y = 4 - 2x/3

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The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

5 percent

Step-by-step explanation:

100/40=2.5

2.5*2=5

Answer:

Mark

Step-by-step explanation:

because when x = 0; y = 1

x=1; y=4

and those points are on the solid line graph.

The thought of Mark is correct.

Exponential functions are functions where the independent variable, x is in the exponent.

Given a graph.

It has a solid line and a dotted line.

The given equation is, y = 4ˣ.

In order to find which graph shows the equation, find the points that the graph of the equation will pass through.

When x = 0, y = 4⁰ = 1

Solid graph passes through (0, 1).

Hence Mark is correct.

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Based on the intersecting secants theorem:

a. CG*CE = CH*CD

b. length of DH = 10 in.

When an exterior point is formed by two secant segments to a circle, the product of the length of one secant segment and its external segment will always be equal to the product of the length of the other secant segment and its external segment, according to the intersecting secants theorem.

a. Based on the intersecting secants theorem, the relationship that describes the lengths of the segments formed by the two secants is:

CG*CE = CH*CD

b. Given the following lengths:

CG = 3 in, CH = 2 in, and GE = 5 in

CE = CG + GE = 3 + 5 = 8 in.

CD = CH + DH = 2 + DH

Substitute into CG*CE = CH*CD:

3*8 = 2*(2 + DH)

24 = 4 + 2DH

24 - 4 = 2DH

20 = 2DH

20/2 = DH

DH = 10 in.

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The area of the canvas is 12 square inches and the minimum selling price is (a) $1.30

Here, we have

A rectangular frame that is 3 inches by 4 inches:

This means that

So, we have

Area = Base * Height

So, we have:

Area = 3 * 4

Evaluate

Area = 12

Hence, the area, in square inches, of the canvas is 12 sq inches

Start by calculating the Revenue using

Profit = Revenue - Cost

Where

Profit = 420

Cost = 400 * 0.25 = 100

So, we have

Revenue - 100 = 420

Revenue = 520

For the minimum selling price, we have

Minimum = Revenue/Number of brownies

So, we have

Minimum = 520/400

Evaluate

Minimum = 1.30

Hence, the minimum selling price is $1.30

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Answer:

c

Step-by-step explanation:

100% on edge

9514 1404 393

Answer:

  where P is now

Step-by-step explanation:

Q is 4 units left of P. If Q is translated 4 units right, it will be where P is.

R would be located exactly where P is located now.

Given:

Gross pay is $1150

The social security tax rate is 6.2% and the medicare tax rate is 1.45%

Gross pay dedected is 87.98 dollar.

Answer:

that is correct

Step-by-step explanation:

your welcome

Answer:

-3/5x+6

Step-by-step explanation:

I'm assuming they want it in slope-intercept form, because that's more common. If it's not then I will be wrong. See screenshot for proof.

Answer:don’t know how to answer

Step-by-step explanation: by the looks of it ur just connecting dots there are three dots you have to connect

The solution is:  the rate of change is 3.

Here, we have,

Since the graph of f(x) is translated 1 unit down, we need to decrease the value of f(x) by 1 to find g(x):

g(x) = f(x) - 1

f(x) = 3|x| – 4

so, we get,

g(x) = 3|x| – 4 - 1

      = 3|x| – 5

Now, to calculate the rate of change over the interval 2 <= x <= 5, we can use the formula below:

rate = g(5) - g(2)/ 5-2

so, we get,

rate = 9/3 = 3

Therefore the rate of change is 3.

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The calculated measure of the angle D is (c) 32 degrees

From the question, we have the following parameters that can be used in our computation:

The triangles ABC and DEF

The triangles are similar triangles

This means that the corresponding angles are equal

Given that

A = 32 degrees

And the corresponding angle is D

We have

D = 32 degrees

Hence, the measure of the angle is (c) 32 degrees

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Answer:

A dog needs 4/3 liters of water 2/5 of a day, Therefore

he'll need 4/3 liters for 5/2 day or

4/3 * 5/2 = 20/6 = 10/3 liters or 3 and 1/3 liters per day

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

All sides have to be congruent making option 1 correct

~ LadyBrain

Answer:

$80

Step-by-step explanation:

The shoe is being sold for 75% (100%-25%) of the original price. So in order to calculate the original price, divide the discounted price ($60) by 75%.

60/0.75 = 80

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Algebra / Percent / Percent Problems

From the statement, we know that:

• the chemist is using S = 378 ml of solution,

• a percentage of p = 16.8% = 0.168 of the solution is acid.

We want to know how many ml of acid are in the solution.

The number of ml in the solution that are acid is given by:

63.5 ml of the solution are acid.

Answer: C

Step-by-step explanation:

1. divide 3 by 2 to find out how many pounds of blueberries she picked each day. 3/2 is 1.5

2. multiply 1.5 by 16 to convert to ounces. 1.5x16 is 24.

3. she picked 24 ounces of blueberries each day.

Answer:

a) In the expression 2^4, the exponent 4 represents the number of times the base 2 is multiplied by itself.

b) In the expression 2^4, the base 2 represents the number being multiplied by itself 4 times.

c) The remaining possible sets of answers for the quiz are FTFF, FFTF, FFFT, TFFT, TFTF, TTFF, TFFF (which was given), and FTTT.

d) The number of possible sets of answers for a quiz with 10 true/false questions can be calculated as 2^10, since for each of the 10 questions, there are 2 possible answers (true or false).

2^10 = 1024

Therefore, there are 1024 possible sets of answers for a quiz with 10 true/false questions.

Answer:

D. its a two dimensional object

Answer:

A. It is a polygon

C. It is a one-dimensional object

The shape is a polygon in two dimensions since a polygon must have at least three straight sides.

Answer:

-2

Step-by-step explanation:

We can find the slope for two points

m = ( y2-y1)/(x2-x1)

    = ( 12 - 4)/(-6- -2)

   = 8/( -6+2)

   = 8/-4

   = -2

The  equation of the parabola with the following properties y = (-1/4)(x+3)^2 -1

To find the equation of a parabola, we can use the formula f(x) = ax^2 + bx + c, where a, b and c are congruent vertices.

Alternatively, we can use PF = PM to find the equation of the parabola.

vertex is half way between the focus and directrix

It's a downward opening parabola, general form

y= a(x-h)^2 + k

where (h,k) = vertex= (-3,-1)

plug in another point on the parabola to solve for a which gives

am answer with either x coefficient = -1'/4 or =4 Check the math.

one or the other is right another point is the y intercept = 9a-1

Another point is directly to the right of the focus  (-1, -2)  It's 2 down from the directrix and 2 to the right of the focus, equidistant.   plug that point into y= a(x+3)^2 -1 and solve for "a"  

-2 = a((-1+3)^2 -1

-2 = 4a -1

4a = -

a = -1/4

The parabola is y = (-1/4)(x+3)^2 -1

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To map Figure T to Figure U, we can use the following sequence of transformations:

Translation: Move the figure 10 units to the right and 12 units down.

This will shift all the points in Figure T by the specified distances.

Reflection: Reflect the figure across the vertical axis.

This will reverse the order of the points horizontally.

Translation: Move the figure 5 units to the right and 10 units up.

This will shift all the points in Figure T (which is now reflected) by the specified distances.

The resulting sequence of transformations would be:

Translation (10 units right, 12 units down) -> Reflection (across the vertical axis) -> Translation (5 units right, 10 units up)

Applying these transformations to Figure T should result in Figure U.