fill in the table using the function rule y= 6x-3​

Answer:

P = 0.5

Explanation:

The probability can be calculated as the division of the number of students that does not play on sports team by the total number of students.

Taking into account the table, there is a total of 20 students and from those 10 does not play on a sports team. Therefore, the probability is:

P = 10/20 = 0.5

Answer:

your answer is B

Step-by-step explanation:

Germany, Austria-Hungary, Bulgaria, and the Ottoman Empire

The table would look like this;

We are told that Of the 125 students that made the honor roll 64% had cheese pizza.

64% of 125 is 80 students, therefore, 80 students in total had cheese pizza.

Let's fill that in.

We now know that those who had pepperoni pizza are 125 - 80 = 45 in number.

There were 48 students that had cheese pizza and a coke, let's fill that in too, we have.

This means that the number of students that had a cheese and sprite is 80 - 48 = 32 students.

We are also told that 5 more students chose to have a coke than a sprite.

Let the total number that chose coke be x.

Then the total who chose sprite would be x - 5.

But these total must add up to 125.

So;

Therefore, 65 students took coke in total and 60 took sprite, let's fill that in too.

We can now fill in the pepperoni column.

For pepperoni and coke, we subtract 48 from 65 to obtain 17

For pepperoni and sprite, we subtract 32 from 60 to obtain 28

ii. The joint relative frequency of the students who had a sprite and pepperoni pizza.

From the table, the joint relative frequency of those who had a sprite and a pepperoni pizza is

i.e 28/45 or 0.6 of those who had pepperoni pizza, took sprite.

SOLUTION

Given:

Now substitute these given into the expression above:

Simplifying further:

The answer therefore is:

To answer this question, we can take the coordinates (2, 4), and (3, 6) and substitute each of them in the given equation. Then, we can determine which of these ordered pairs is a solution of the equation 7x - 5 = 4y - 6. Then, we have:

1. Case: Ordered pair (2, 4):

This ordered pair is NOT a solution.

2. Case: Ordered pair (3, 6):

This ordered pair is NOT a solution.

Therefore, neither the ordered pair (2, 4) nor (3, 6) are solutions to the given equation (Option D).

The coordinate of the x-intercept and y-intercept will be (-3, 0) and (0, -2), respectively.

A connection between a set of variables results in a linear system when presented on a graph. The variable will have a degree of only one.

The linear equation is given below

- 2x - 3y = 6

For the x-intercept, the value of the y will the zero. Then we have

- 2x - 3(0) = 6

-2x = 6

x = -3

The x-intercept is at (-3, 0).

For the y-intercept, the value of the x will the zero. Then we have

- 2(0) - 3y = 6

-3y = 6

x = -2

The y-intercept is at (0, -2).

Thus, the coordinate of the x-intercept and y-intercept will be (-3, 0) and (0, -2), respectively.

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9.

Alternative interior angles are congruent

Therefore;

5x + 42 = 18x -12

collect like term

5x - 18x = -12 - 42

-13 x = -54

Divide both-side of the equation by -13

x=4.15

Solution

Note: Laws Of Logarithm To Use

From the question, we have

To evaluate, we have

The answer is

The perimeter of a quadrilateral is given by the sum of all the sides.

In order to add mixed numbers, let's rewrite them as a sum of the integer part and the fraction part.

So we have:

Therefore the perimeter is 9 1/3 ft.

The number of batting orders that are possible for the game is 1365 orders.

Combinations are also referred to as selections. Combinations imply the selection of things from a given set of things. In this case, we intend to select the objects.

Combination formula

ⁿCr = n! / ((n – r)! r!

n = the number of items.

r = how many items are taken at a time.

This will be:

15! / 11! (15 - 11)!

= 15! / 11! 4!

= 15 × 14 × 13 × 12 / 4 × 3 × 2

= 1365 orders

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Answer:11

Step-by-step explanation:

Since both drawings are similar and have a scale factor, we can say that all sides keep the same scamle factor, if the scale drawing is in a proportion of 3:1 means that all of its sides is 3 times the real objects sides.

write this as equations

to find the respetive values for a and b we divide the sides by 3

The correct answer is D.

Using the relationship between the dimension of a rectangle and its perimeter, given its perimeter and width, the length is: 20.4 cm.

Recall:

Perimeter of a rectangle (P) = 2(L + W) (relationship between the width, length and perimeter)

Given:

Width (W) = 3.6 cm

Perimeter (P) = 48 cm

Length (L) = ?

Using the relationship between the dimension of a rectangle and its perimeter, the following equation would be derived:

48 = 2(L + 3.6)

Solve for the value of L

48 = 2L + 7.2

Subtract 7.2 from each side

48 - 7.2 = 2L

40.8 = 2L

Divide both sides by 2

20.4 = L

L = 20.4 cm

Therefore, using the relationship between the dimension of a rectangle and its perimeter, given its perimeter and width, the length is: 20.4 cm.

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we know that

The unit rate is equal to

1.2 oz per mile

so

To obtain the number of ounces

multiply the unit rate by the number of miles driven

1.2*(15)=18 oz

step 2

Convert ounces to cups

Remember that

1 oz=0.125 cups

so

18 oz=18*0.125=2.25 cups

therefo

The correct statement is the relationship is proportional because the ratio of the area to the cost is constant.

The first step is to determine if the ratio of the area of the carpet and its cost is proportional. The ratio is proportional, if the ratio is constant for all the areas and costs provided in the question. The ratio can be determined by dividing cost by the area.

Ratio = cost / area

750 / 500 = 1.50

1500 / 1000 = 1.50

2,250 / 1500 = 1.50

3000 / 2000 = 1.50

Since the ratios are constant, the relationship is proportional.

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The correct statement is the relationship is proportional because the ratio of the area to the cost is constant. Is the relationship proportional?The first step is to determine if the ratio of the area of the carpet and its cost is proportional. The ratio is proportional, if the ratio is constant for all the areas and costs provided in the question. The ratio can be determined by dividing cost by the area. Ratio = cost / area 750 / 500 = 1.50 1500 / 1000 = 1.502,250 / 1500 = 1.503000 / 2000 = 1.50 Since the ratios are constant, the relationship is proportional.

For the given equation: x² + y² = 400, the required values of dy/dt and dx/dt are [(-28)/3] and 4 respectively.

What are differentiable functions?
If the derivative f '(a) exists at each point in its domain, then f(x) is said to be differentiable at the point x = a. Given two functions g and h, where y = g(u) and u = h(x). A function is referred to as a composite function if its definition is y = g [h (x)] or goh(x). Therefore, fog is also differentiable and (fog)'(x) = f'(g(x) if g (x) and h (x) are two differentiable functions. g’(x).

Given, the equation for x and y is: x² + y² = 400
Differentiating the equation above with respect to t using chain rule, we have: (2x)(dx/dt) + (2y)(dy/dt) = 0 -(i)
Rearranging (i) for dy/dt, we have: dy/dt = (-x/y)(dx/dt)   - (ii)
Again, rearranging (i) for dx/dt, we have: dx/dt = (-y/x)(dy/dt)   - (iii)
For (a), x = 16, y = 12 and dx/dt = 7, thus dy/dt using (ii) can be written as:
dy/dt = (-x/y)(dx/dt) = (-16/12)*7 = (-4/3)*7 = (-28)/3
For (b), x = 16, y = 12 and dy/dt = -3, thus dx/dt using (iii) can be written as:
dx/dt = (-y/x)(dy/dt) = (-12/16)*(-3) = (4/(-3))*(-3) = 4
Therefore, for the given equation: x² + y² = 400, the required values of dy/dt and dx/dt are [(-28)/3] and 4 respectively.

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We have to calculate the volume of the cone.

The volume of the cone is 1/3 of the area of the base times the height.

As the base has diameter D = 16 yd, we can calculate the area of the base as:

Knowing the height is h = 14 yd, we then can calculate the volume as:

Answer: the volume is 937.81 cubic yards.

Let x represent Mikhail's age.

Since Gabrielle is 8 years older than Mikhail, it means that Gabrielle's age is

x + 8

If the sum of their ages is 104, it means that

x + x + 8 = 104

2x = 104 - 8

2x = 96

x = 96/2

x = 48

Mikhail's age is 48

The inequality given is

Collecting like terms we will have

With the above solution, we can conclude that y=10 is not a solution to the inequality because the values of y are less than 8

Hence, The answer is NO

Answer:

1268000

Step-by-step explanation:

16000x79.25=1268000

From the figure, we have the coordinates of the vertices:

ABC ==> A(2, 1), B(5, 1), C(1, 5)

A'B'C' ==> A'(-2, 1), B'(-5, 1), C(-1, 5)

Let's determine the type of transformation that occured here.

Apply the rules of rotation.

For a rotation acorss the y-axis, only the x-coordinates of the points will change to the opposite. i.e from negative to positive or from positive to negative.

For a rotation across the y-axis, we have:

(x, y) ==> (-x, y)

From the given graph, we can see that the only the x-coordinates changed from positive to negative.

Therefore, the transformation that occured here is the reflection across the y-axis.

ANSWER:

B) Reflection across the y-axis.

Answer: No real solutions

Step-by-step explanation:

[tex]14|x+14|+13=-69\\\\14|x+14|=-82\\\\|x+14|=-82/14[/tex]

Since absolute value is always non-negative, there are no real solutions.

S(8)=3500(1+(.047/4))^32

S(8)=$5086.40 in the account after 8 years.

a)The relative growth rate is .25, or 25%

b)at t=0, the population is 955e^.25(0)=955

c)at t=5; the population is 955*e^.25(5)=955*3.49=3333.28 bacterium.

The equation of a line in the slope intercept form is expressed as

y = mx + c

where

m = slope

c = y intercept

The formula for finding slope is

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

y2 and y1 are the final and initial values of y

x2 and x1 are the final and initial values of x

From the given points ,

x1 = 8, y1 = 4

x2 = - 4, y2 = 9

m = (9 - 4)/(- 4 - 8) = 5/- 12 = - 5/12

Recall, if two lines are perpendicular, it means that the slope of one line is equal to the negative reciprocal of the slope of the other line. The negative reciprocal of - 5/12 is 12/5

Thus, the slope of the perpendicular to line FG is 12/5

(a) To find the area of the kitchen floor, we just have to multiply

(b) To find the number of tiles needed, we have to find the area of each tile, which is

Then, we divide the total area of the kitchen floor by the area of each tile.

Hence, David will need 80 tiles to cover the floor.

the expression of the discount amount is

here x is the price

and the discount is 25%

SOLUTION

We want to perform the following division using synthetic division

This becomes

First we write the problem in a division format as shown below

Next take the following step to perform the division

Now, we have completed the table and we obtained the following coefficients, 1, -1, 1, -1, 4

Note that the first four ( 1, -1, 1, -1) are coefficients of the quotient, while the last one (4) is the coefficient of the remainder.

Hence the quotient is

And the remainder is 4.

Hence

For the given question, let the size of the original field = x

Ninety percent of a large field is cleared for planting

So, the size of the cleared land = 90% of x = 0.9x

50 percent is planted with blueberry plants and 40 percent is planted with strawberry plants.

So, the size of the land planted with blueberry plants and strawberry plants =

The remaining will be = 0.9x - 0.81x = 0.09x

Given: the remaining 360 acres of cleared land is planted with gooseberry plants

so,

divide both sides by (0.09) to find x:

So, the answer will be:

The size of the original field = 4,000 acres

Given: A triangular prism with base 6ft,height of triangle is 8 ft and height of prism is 12ft

Find : the volume of the prism.

Explanation: the volume of the triangular prism is equal to area of the base triangle times height of the prism.

final answer: the volume of the rectangular prism is