If a different number in domain of a function have different outputs the function is called?

What we can observe in equality is the commutative property of multiplication.

The answer would be Commutative Property of Multiplication

We know that if l and m are parallel there might be some angles that are equal to others:

Alternate interior angles

The angles closed by a blue circle are alternate interior angles, then they should be equal if l||m.

Vertcial angles

The angles closed by an orange circle are vertical angles, because they are opposite to each other on two crossed lines.

Now, we know two angles of the triangle of the middle:

We know that the addition of all the inner angles of a triangle is 180º. This is:

50º + 55º + xº = 180º

↓

105º + xº = 180º

Now, we can find x:

105º + xº = 180º

↓

xº = 180º - 105º

xº = 75º

The given triangle is a right-angled triangle.

Consider PO is Hypotenuse.

By using the Pythagoras formula, we get

Consider the angle x:

Recall the sine formula

Substitute Opposite side =6 and Hypotenuse=10, we get

Consider the angle y:

Recall the sine formula

Substitute Opposite side =8 and Hypotenuse=10, we get

Hence the required values are

Translating for numbers, we have:

This way, we can make what follows:

Calculating now the amount is needed to complete the 9 miles:

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And from here, the solution with the fractions.

We can start with the sum of what Shelly has biked in the first two days:

This is the amount of mile she has already biked. But we know she needs to complete all the 9 miles in the third day. So, the difference from 9 and the amount she already did is the amount she needs to bike in the third day.

Step 1

Find the value of θ using the inverse sign of all the functions.

A)

B)

C)

the mean score of the test for sample of 39 students is 76.92.

The data is given as:

Number of students       Score of each student       Total score

            07                                       90                              630

             17                                       80                             1360

             11                                        70                               770

            04                                       60                              240

The total number of students = 7 + 17 + 11 + 4

n = 39

Total scores = 630 + 1360 + 770 + 240

T = 3000

Mean score = T / n

M = 3000 / 39

M = 1000 / 13

M = 76.92

Therefore, the mean score of the test for sample of 39 students is 76.92.

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Answer:

The nearest 10,000 is;

Explanation:

We want to round off the given number to the nearest 10,000.

We will find the closest ten thousand to the given number;

Therefore, the nearest 10,000 is;

We will solve as follows:

The expression represented in the text is:

Now, we solve for x:

So, the solution is x >= 27. [Option D]

a) 1400 has 2 significant figures, zeros are no consider as significant figures

b) 1001 has 4 significant figures, zeros in between two nonzero numbers are significant figures

c) 101.2 has 4 significant figures, zeros in between two nonzero numbers are significant figures. Nonzero number are significant figures

d) 2310 has three significant figures. 2,3 and 1 are significant figures.

The ratio wins to losses of each team are:

Then, Leopards and Pirates have the same ratio

The equation that describe's Latrice grade is given by:

g = 5c

g represen

Given:

The triangle ABC is similar to the triangle A'B'C'

So, the corresponding sides are proportions

So, the factor of dilation will be:

so, the answer will be 2/3

The correct extended proportion is:

Since the other two options have some non-correspondant proportions.

To compute the width of the wing, we can use the next proportion

Solving for x,

The airplane wing must be 4.88 meters wide.

She earns overtime pay when she works more than 40 hours in one week . The number of overtime pay she works for the weeks of march 4 can be calculated below

Given:

6,9,2,5,4,10,3,12,2,7,7,8

Required:

To find the variation and standard deviation of the given data set.

Explanation:

Now variation is

The numerator in the above is sum of the square of the given data.

Therefore,

Final Answer:

let the number of quarters = x , and the number of nickels = y

quarter = $0.25 and nickel = $0.05

So, x + y = 58

x = 58 - y

and 0.25 x + 0.05 y = 7.5

so,

0.25 (58 - y) + 0.05 = 7.5

14.5 - 0.25 y + 0.05 y = 7.5

-0.2 y = -7

y = -7/-0.2 = 35

x = 58 - 35 = 23

So, the number of quarters = 23 and the number of nickels = 35

Thus, the point which represent square root of 28 should lie between 5 and 6 which is point B.

Thus, option (B) is correct.

We are given that

Cost of dress per meter = $R

Total cost of dress = $ 3R

Cost of Acessories = $50

We want to find:

Part A

The total amount of money Gifty will need to spend on the dress in terms of R

To find the total amount, we just add up

Let T denotes the total amount of money

Thus, the total amount is $ (3R + 50)

Part B

If Gifty has $4000 to spend on her dress including accessories, what is the maximum value of R?​

We only need to equate T to 4000 and solve for R

Thus, the maximum value of R is $1316.67

EXPLANATION

Let the probability that KSU will win a game be Pr(A), and let the probability that VSU wins be Pr(B). Therefore;

We can then use the conditional probability formula below.

Therefore, the probability that KSU will win given that VSU has already won becomes

Answer: 0.94

1. 5 (3) = 15

2. 4 (8) = 32

3. 6 (3/2) = 9

4. 12 ( ) = ?

Given:

a.) Han spent a total of $221.76, before tax, on bags of chips for the basketball team.

b.) Each bag cost $3.52.

Let's determine the number of bags of chips bought.

Therefore, Han bought 63 bags of chips for the basketball team.

The answer is 63.

The population of bacteria in the culture after 11 hours is 581 using the exponential decay formula.

The total number of people living in a particular area, such as a city or town, region, country, continent, or the entire world, is typically referred to as the population. Governments frequently conduct censuses to estimate the number of residents living within their jurisdiction. A census is a process for gathering, analyzing, compiling, and releasing statistics regarding a population.

A culture of bacteria has an initial population of 220 bacteria, which doubles every eight hours, according to the information provided.

By applying the formula,

P(t)=P₀.[tex]2^{t/d}[/tex]

P(t) is the population at the end of t hours.

P0 is the starting populace.

d is the doubling time, while t is the time in hours.

After 11 hours, we are asked to determine the bacteria population.

First, we will enter the following values in the doubling life formula as substitutes:

P(t)=220([tex]2^{t/8}[/tex])

Now we will substitute t=11 in our formula to find the population of bacteria after 11 hours as follows:

P(11)=220([tex]2^{17/8}[/tex])

P(11)=220([tex]2^{1.4}[/tex])

P(11)=220(2.639015822)

P(11)=580.5834807≈581

P(11)=581

Consequently, after 11 hours, there will be 581 bacteria.

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Answer

Option A is correct.

P(x, y) = (-3.5, 2.3)

Explanation

Mathematically, if a point P(x, y) divides the coordinates R(x₁, y₁) and Q(x₂, y₂) internally in the ratio m:n then point P(x, y) is given as

x = [(mx₂ + nx₁)/(m + n)]

y = [(my₂ + ny₁)/(m + n)]

For this question,

R(x₁, y₁) and Q(x₂, y₂) = R (4, -1) and Q (-5, 3)

m:n = 5:1 (5/6 of a distance divides the two parts of the distance into 5/6 and 1/6, hence, the ratio is 5:1)

x₂ = -5

x₁ = 4

y₂ = 3

y₁ = -1

m = 5

n = 1

x = [(mx₂ + nx₁)/(m + n)]

x = [(5×-5 + 1×4)/(5 + 1)]

x = [(-25 + 4)/(5 + 1)]

x = (-21/6)

x = -3.5

y = [(my₂ + ny₁)/(m + n)]

y = [(5×3 + 1×-1)/(5 + 1)]

y = [(15 - 1)/(5 + 1)]

y = (14/6)

y = 2.3

P(x, y) = (-3.5, 2.3)

Hope this Helps!!!

According to the given image, the table has a flat surface, whcih means the ball would not roll off because there's no slope or inclination. Also, assuming that there's no other forces being applied, the ball should not roll off.

Kindly check below

1) Let's do it in parts.

a) We can find the x-intercepts by using the factor zero property from each factor. Like this:

The best way to find the y-intercept with this factored form is by plugging into that equation x=0

b) Expanding those factors by distributing them (FOIL) we can find this:

So now, let's find the x-coordinate of the vertex V(h,k):

c) The coordinates of the vertex can be found by plugging the x-coordinate into the quadratic function. This way:

d) Finally, we can plot that function by setting a table:

So plotting these points (-2,6),(-1,6), (0,4), (1,0),(2,-6) and opening down the parabola for a is -1 we can plot this:

As a rule , - times - = + and - times + = -

Therefore the correct answer to the question is 2m squared n

SOLUTION

Let one of the numbers be x

Using the statement: The second number is 3 less than twice the first

Then the second number is

Since, the sum of 2 numbers is 75

It follows:

Solve for x

Therefore the first number is 24

The second number is

therefore the numbers are 49 and 26.

Given:

If we let h(x) = 2x + 1 and g(x) = x + 1 and

Required:

How might you verify their statement?

Explanation:

We have h(x) and g(x)

Answer:

Hence, verified the statement.