Use the vertical line test to determine if y is a function of x in the given graph.

B. 0.09

The only option less than 0.4 in the options is 0.09

All other options (0.57, 0.7, 0.90, 0.5) are greater than 0.4

The sum of the angles in a quadrilateral is 360 degrees. Let x represent the fouth angle. If the sum of the three angles of the quadrilateral is 310, it means that

310 + x = 360

subtracting 310 from both sides,

310 - 310 + x = 360 - 310

x = 50

the measure of the fourth angle is 50 degrees

We have the following:

The first thing is to calculate the points scored per game, dividing the number of total points by the number of games

From least to greatest it would be like this

Daniela, 20.5 points per game

KC, 19.25 points per game

Hope, 18.91 points per game

EXPLANATION

If the area of a circle with radius r is given by nr^2 and the area of a circle is 16 square units.

So, the radius of the circle is as follows:

Isolating r:

So, the radius is 4 units because in this case, n is equal to 1, so sqrt(1) is zero.

e. voluntary response

The voluntary response sample is made up of participants who choose to participate in the investigations. They do it voluntarily.

Since the readers of the car magazine can choose to respond or not, then, this is considered a voluntary response sample. That is why the answer is E.

Answer:

• Length = 33½ units

• Width = 33½ units

Explanation:

The perimeter of the rectangle = 134

Using the formula for area:

The maximum dimension will occur at the point where the derivative is 0.

The area is maximum when the width and the length are 33½ units.

Solution

For this case we can see that the best answer is:

Low

Since we have overlap just in some values representing a low percentage of all the datasets

For the second case we have the following dataset:

27 28 28 29 29 29 30 30 30 31 31 31 33 34

We have 14 values then we can find the median like this:

Median = (30+30)/2= 30

1) Gathering the data

shadow = height = 12 feet

friend = 5 ft tall and his shadow=2 ft

Let's visualize it:

2) Since we have similar triangles, (congruent angles and proportional legs) then we can write the following proportion:

3) So the height of the electric pole is 35 ft

In ΔSHD & ΔSTD

SH = ST (GIVEN)

SD = SD (COMMON SIDE)

SDH = SDT (= 90°)

HENCE, ΔSHD ≅ ΔSDT (RHS PROPERTY)

1) Two Electricians' charges more per hour

2) Mr Hall should choose ABC electric to save money

ABC Electric's charges :

y = 50x + 75

Two Electricians' charges is shown in the table

To determine which company charges more per hour, let's compare their charages

1) y = 50x + 75

when x = 1 hour

y = 50(1) + 75 = 50 + 75

y = $125

From the table, when x = 1

y = $130

$130 > $125

The charge of Two Electricians' for 1 hour is more than that of ABC Electric's charges

Hence, Two Electricians charges more per hour

2) For 5hours, x = 5

inserting the value for x in ABC electric charges:

y = 50(5) + 75

y = 250 + 75

y = $325

There is no value for x = 5 on the table given

we need to find an equation for it

Equation of line: y = mx + c

Rate of change = slope = change in y/change in x

Using points: (0, 70) and (1, 130)

Rate of change = (130-70)/(1-0) = 60/1

Rate of change = slope = 60

The y-intecept is when x = 0

y-intercept = c = 70

equation for Two Electricians' charges :

y = 60x + 70

when x = 5

y = 60(5) + 70

y = 300 70

y = $370

$370 > $325

ABC electric cost less for 5hrs

Mr Hall should choose ABC electric to save money

Mercedes can walk 0.083913 km per minute

Here, we want to write a proportion and solve it

We want to get the number of kilometers y that mercedes can walk in x minutes

To get the value of y, we simply solve the proportion

Mathematically, the proportion would be;

So, we proceed to divide the number of kilometers walked by the number of minutes

The proportion in this case will be;

So, what this means is that she can walk 0.083913 kilometers in a minutes

So if she walks 0.083913 kilometers in a minute, then, the number of kilometers y, walked in x minutes will be;

The perimeter is the sum of all sides, therefore:

Since the perimeter is 55 units:

Add like terms:

Solve for x:

Answer:

x = 8

Remember that

z =(x - μ)/σ

where

μ=43.8

σ=8.7

x=40

substitute

z=(40-43.8)/8.7

g(x)= 4x + 2x

To find g(-3), we will simply substitute x=-3 into the above

g(-3) = 4(-3) + 2(-3)

= -12 - 6

= -18

Solving for x, we have:

Correlation Formula

Correlation value

Hence the value of r = -0.4 (nearest tenth)

we have a circle first we will calculate the whole area of the circle using the next formula

where r= 13 units

Then we have 54° we need to divide between 360 In order to know the part of the circle we have

so in order to know the area of the sector HJK we will divide the area between 20/3

0.30

Probability is defined as the likelihood or chance that an event will occur. From the given table, we need to determine the probability that an animal chosen at random is a​ dog, given that the treatment was shots​ only,

This is a conditional probability. From the table, you can see that Dogs are on the first row and shots only on the first column.

The required probability value falls in the first row and first column of the table. Hence the probability that an animal chosen at random is a​ dog, given that the treatment was shots​ only, is 0.30

(11-4i).bar(11-4i) = 137

The plot of the system of equations shown in the problem is given below

The solution for the system of equations is the part where the two lines intersect with each other, as shown below

The solution is (2, 4).

Answer: (2, 4)

The number of games won is 3x, while x is the number of games lost.

If x is 2, then we can calculate the value of 3x to be:

The answer is 6.

SU = ST+ TU

45 = 7x+5x-3

Solve for x:

Combine like terms:

45 = 12x-3

Add 3 to both sides of the equation:

45+3 =12x-3+3

48 = 12x

Divide both sides by 12

48/12 =12x/12

4=x

You have the next situation:

As the building and its shadow form a angle of 90º (right angle), you use the Pythagoras theorem:

The measure of x is equal to the square root of hypothenusa squared less the shadow measure squared:

The amount each classroom will receive $1,963

To get the mean of a set of data, the steps are to add all the data and divide by the total number of data.

Then, solve.

The mean is 96.3 grams.

On the other hand, the median of a set of data is the middlemost data once the data has been arranged from lowest to highest or vice versa.

Let's arrange the data first.

Out of the 5 data, the middlemost data would be the third one. Hence, the median is 96.5 grams.

The formula that gives the volume V of a right cylinder with radius r and height h is presented below:

Step 1: Divide both sides by πh

Step 2: Take the square root of both sides.

Step 3: We can multiply both the numerator and denominator by πh to get:

The correct option is the last one.

hello

the question given involves the midpoint of a line

since t is the mid point of the line, we can equate both sides

what this implies is that st is equal to tu

now we solve for x

now we have x = 1

we can substitute x = 1 in both st and tu

in st

in tu

from the calculations above, x = 1, st = 9 and tu = 9

End behavior: You have the leading coefficient (number write in front of the variable with the largest exponent) of +1 and the polynomial degree is odd (3).

Y-intercept: The value of g(x) when it cross the y-axis (when x is 0)

Substitute the x in the equation by 0 and evaluate the function:

To find the zeros:

Equals the function to 0

Factor:

-Factor x²

-Factor -4:

-Factor (x-1):

Write the second factor as a substraction of squares:

Equal each factor to 0 and solve x:

49

1) Since this is a proportional relationship, we can fill in the table noticing the factor of proportionality is the same for every row

3 | 21

5 | 35

7 | 49

9 | 63

2) As we can see the factor is 7. So the number of beads used to make 7 bracelets is 49

Answer

6 feet

Explanation

Note: The conversion rate of inches to feet is given below

1 inches = 0.0833333 foot

Since Scott is 72 inches tall, His height in feet will be