help help help pleaseeeee!!!!!!

D: {-5, -2, 1, 2}

R: {-4, 0, 3}

The relation is a function

Given:

5) Ordered pairs on a coordinate plane

To find:

the domain, range, and the type of relation

To determine the domain and range, we will list the ordered pairs:

(-5, 3), (-2, -4), (1, 0), (2, 3)

The first number in each pair represents the x values (domain), while the 2nd number in each pair represents the y values (range)

The domain: {-5, -2, 1, 2}

The range: {3, -4, 0, 3}

Rearranging and picking one of the repetitions:

The range: {-4, 0, 3}

For a relation to be a function, each input will have only one output.

None of the inputs appears more than once. Hence, each input has only one output. It is a function

To solve the exercise you can use the following properties of exponents and radicals

So, you have

By definition

So

Therefore, the correct answer is b. 1.

Answer:

Explanation:

Here, we want to solve the given inequality for u

What we have to do is to bring like terms together

We bring 8 to the right which causes a sign change

Mathematically, we have that as:

Given

jenny mixed 4kg of mixed nuts containing 16% of peanuts with 12kg of mixed nuts containing 40% of peanuts .

Find

Percent in the new mixture of peanuts

Explanation

we are given 4kg of mixed nuts containing 16% of peanuts

Amount of quantity =

so,

and also 12kg of mixed nuts containing 40% of peanuts .

so,

so,total weight

let total mass pf mixture containing x % peanuts.

so,

Final Answer

Percent in the new mixture of peanuts = 34%

Let m be a glass of milk and s be a snack bar.

3 glasses of milk and 4 snack bars have a total of 80 carbohydrates. So, the expression is,

4 glasses of milk and 3 snack bars have a total of 81 carbs.

The above equation can be rewritten as,

Put equ (3) in (1) to find s.

Now, put 11 for s in equ (1) to find m.

So, there are

Answer:

Domain: [tex](-\infty, \infty)[/tex]

Range: [tex][0, \infty)[/tex]

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

Answer: 6

Step-by-step explanation:

20 (amount of muffins) - 2 (muffins left) = 18 (total in boxes)

18 ÷ 3 = 6

It will be valued less than £1000 after x = -0.8260748 years.

Based on the given conditions, formulate:

6700 × (1 - 28%) = 1000

Calculate the sum or difference:

6700 ×0.72ˣ = 1000

Reduce the greatest common factor on both sides of the equation:

67 × 0.72ˣ = 10

Divide both sides of the equation by the coefficient of variable:

67 × 0.72ˣ / 67 = 10 / 67

Rewrite as fraction:

0.72ˣ = 10 / 67

Convert exponential to logarithm form:

x = log°.₇₂ 10 / 67

Convert decimal to fraction:

x = log°₍₇₂/₁₀₀₎  10 / 67

After simplifying -

get the result:

x = -0.8260748

Hence , After x = -0.8260748 years will it be worth less than £1000.

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In a population of values having a normal distribution with (μ = 62.9) and (σ = 25.8), and we intend to draw a random sample of size (n = 22),

(i) The probability that a single randomly selected value is less than 45.3 [P(X < 45.3) is 0.2476

(ii) The probability that a sample of size (n = 22) is randomly selected with a mean less than 45.3 [P(M < 45.3)] is (0.0007)

As per the question statement, a population of values has a normal distribution with (μ = 62.9) and (σ = 25.8) and we intend to draw a random sample of size (n = 22).

We are required to calculate:

(i) The probability that a single randomly selected value is less than 45.3 [P(X < 45.3)

(ii) The probability that a sample of size (n = 242) is randomly selected less than 45.3 [P(M < 45.3)].

Let us assume that, a random variable "X" follows normal distribution with mean (μ = 62.9), standard deviation (σ = 25.8) and a sample size of (n = 22).

(i) The probability that a single randomly selected value is less than 45.3 [P(X < 45.3) is,

P (X < 45.3) = P[{(X - μ)/σ} < {(45.3 - 62.9)/25.8}]

= [P{Z < (-0.6822)}]

=0.247556247343...[Using Excel Function "NORMSDIST (-0.6822)]

≈ 0.2476

(ii) The probability that a sample of size (n = 22) is randomly selected with a mean less than 45.3 [P(M < 45.3)] is,

P(M < 45.3) = P[{(M - μ)/(σ/√n)} < {(45.3 - 62.9)/25.8/√22)}]

= P[{(M - μ)/(σ/√n)} < {(45.3 - 62.9)/5.5006}]

=P[Z < (-3.19965)]

= (0.000687972836)...[Using Excel Function "NORMSDIST (-1.49)]

≈ 0.0007

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Given data:

The first point on the graph is (0,20,000).

The second point on the graph is (40,0).

The equattion of the line is,

(y-20,000)/(x-0)=(0-20,000)/(40-0)

(y-20,000)/(x)=-500

y-20,000=-500x

y=-500x+20,000

Thus, the equation of the line is y=-500x+20,000

Part a: The equation is y=-500x+3000

Part b: The prediction of sales is 2750 at a price of $6.5

The equation of a line is given by:

y=mx+b

In which

m is the slope, representing the rate of change.

b is the y-intercept, which is the value of y when x = 0.

Part a:

In this problem:

There are two points (6, 3000) and (8, 2000).

The slope is given by: Change in y/Change in x

m = 2000-3000/8-6

m = -500

Thus

y = -500x+b

Point (6,3000) means that when x=6, y=3000, which we use to find b.

3000 = -500(6)+b

3000=-3000+b

b = 6000

So, y = -500x+6000

Part b:

The sales are y when x = 6.5, thus:

y = -500(6.5)+6000

= -3250+6000

The prediction is 2750 sales with a price of $6.50.

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The result of the expression -8w times -w is [tex]8w^{2}[/tex]

The expression is -8w times -w

Expressions is the mathematical statements that have a minimum of two terms containing numbers or variables, connected by an operator in between. The operator maybe addition, subtraction, division or multiplication.

Here the expression is -8w times -w

Here -8w times -w means, we have to multiply the -8w by -w

Therefore the expression is

-8w × -w

We know when we multiply the a negative number by negative number the result will be positive number

-8w × -w = [tex]8w^{2}[/tex]

Hence, the result of the expression -8w times -w is [tex]8w^{2}[/tex]

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The probability of winning is 1/200.

The probability of losing is 199/200.

The gain of winning is

($90 - $6) that is $90 of the winning ticket minus the $6 ticket cost.

The loss of lossing is -$6 that is a player loses $6 for the ticket.

The expected value therefore is calculated as

Therefore, the expected value for a ticket in this lotter is -$5.55 or an average loss of $5.55.

The sets that represents a Pythagorean triple is 33,44,55.

Pythagorean triple is used to find the side of a right angle triangle.

The Pythagoras theorem is represented as follows;

c² = a² + b²

where

Therefore, the Pythagorean triple must follow the principle : c² = a² + b²

Hence,

33² + 44² = 55²

1089 + 1936 = 3025

Therefore,  the Pythagorean triple is 33,44,55.

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Answer:

C. 6 + 6 + 10 + 10 + 15 + 15

Explanation:

The surface area of a rectangular prism can be calculated as:

Surface Area = lw + lw + wh + wh + lh +lh

Where l is the length, w is the width, and h is the height.

So, replacing l by 3, w by 2, and h by 5, we get:

Surface Area = 3(2) + 3(2) + 2(5) + 2(5) + 3(5) + 3(5)

Surface Area = 6 + 6 + 10 + 10 + 15 + 15

Therefore, the expression that can be used to find the surface area is:

Surface Area = 6 + 6 + 10 + 10 + 15 + 15

The answer is 40 + (- 63). Addition is a method of combining items and counting them as a single large group. In mathematics, addition is the process of combining two or more numbers.

In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.

A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Therefore,

         (- 25) + 12 = - 13

        40 + (- 63) = - 23

we get - 13 and -23 ,

-23 is lesser than -13

-23 < -13.

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ANSWER

EXPLANATION

Given;

Convert from polar form to parametric form.

Here;

Answer:

Domain: [tex)(-\infty, \infty)[/tex]

Range: [tex][0, \infty)[/tex]

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

The change after buying the calculators is $204.12

Ms. Wood has a class of 18 students

She wants to spend $20 on each of her students

The total money she can spend can be calculated as follows

= 18 × 20

= 360

She buys the calculators for her students, everything costs $155.88

The money she has left to spend can be calculated as follows

= 360 - 155.88

= 204.12

Hence she has $204.12 left as the change she can spend on her students

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Step 1

Given;

Required; To find the area of the triangle

Step 2

State the area of a triangle

Answer;

Answer:

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 12 on the left side and the dividend 155 on the right side like this:

 1 2 ⟌ 1 5 5

Step 2:

The divisor (12) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

 1 2 ⟌ 1 5 5

Step 3:

Multiply the divisor by the result in the previous step (12 x 0 = 0) and write that answer below the dividend.

       0    

 1 2 ⟌ 1 5 5

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

 1 2 ⟌ 1 5 5

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (5) like this:

       0    

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

Step 6:

The divisor (12) goes into the bottom number (15), 1 time(s). Therefore, put 1 on top:

       0 1  

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

Step 7:

Multiply the divisor by the result in the previous step (12 x 1 = 12) and write that answer at the bottom:

       0 1  

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

       1 2  

Step 8:

Subtract the result in the previous step from the number written above it. (15 - 12 = 3) and write the answer at the bottom.

       0 1  

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

     - 1 2  

         3  

Step 9:

Move down the last digit of the dividend (5) like this:

       0 1  

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

     - 1 2  

         3 5

Step 10:

The divisor (12) goes into the bottom number (35), 2 time(s). Therefore put 2 on top:

       0 1 2

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

     - 1 2  

         3 5

Step 11:

Multiply the divisor by the result in the previous step (12 x 2 = 24) and write the answer at the bottom:

       0 1 2

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

     - 1 2  

         3 5

         2 4

Step 12:

Subtract the result in the previous step from the number written above it. (35 - 24 = 11) and write the answer at the bottom.

       0 1 2

 1 2 ⟌ 1 5 5

     - 0    

       1 5  

     - 1 2  

         3 5

     -   2 4

         1 1

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 155 divided by 12 calculated using Long Division is:12

11 Remainder

It is given that the price of the box increases from R17.99 to R19.99.

It is required to find the inflation rate for the period.

Recall the formula for the Inflation Rate:

Substitute the given prices:

Given the expressions:

these two expressions are not equivalent, since one is thrice a number and the other is a cubic number. We can see this if we write completely each expression:

thus, the expressions are not equivalent

Answer

a) The plotted graph is shown in the Explanation below.

b) a = 12, b = 2

Explanation

n = a(b^m)

Taking the logarithm of both sides

log n = log [a(b^m)]

log n = log a + log (b^m)

log n = log a + m log b

So, to first plot the graph, we know we need to rewrite this equation to match the equation of a straight line. Equation of a straight line is

y = mx + b

where

y = y-coordinate of a point on the line.

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

b = y-intercept of the line.

log n = (log b) m + log a

y = mx + b

y-axis = log n

slope = log b

x-axis = m

intercept = log a

So, we need to plot log n (on the y-axis) against m (on the x-axis)

m | n | log n

1 | 24 | 1.38

2 | 48 | 1.68

3 | 96 | 1.98

4 | 192 | 2.28

5 | 384 | 2.58

The values for log n are then plotted against the corresponding value of m

The image is presented below.

From the graph, we can easily see that

Intercept = 1

To obtain the slope, for a straight line, the slope of the line can be obtained when the coordinates of two points on the line are known. If the coordinates are (x₁, y₁) and (x₂, y₂), the slope is given as

Using the two farthest points,

(x₁, y₁) and (x₂, y₂) = (1, 1.38) and (5, 2.58)

b) Intercept = log a = 1.08

a = log⁻¹ (1.08) = 12

Slope = log b = 0.3

b = log⁻¹ (0.3) = 1.995 = 2

n = 12 (2^m)

We can test this by putting values of m in the expression looking to get n

when m = 1,

n = 12 (2^1)

n = 12 (2) = 24

when m = 5

n = 12 (2^5)

n = 12 (32) = 384

So, our model works!!!

Hope this Helps!!!

The fraction of whole pizza has both pepperoni and green peppers exists 1/2.

A number is stated mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction exists less than the denominator.

Given that:

3/4 of the pizza contains pepperoni

2/3 of the pizza with pepperoni contains green pepper ;

The fraction of the whole pizza that contains both pepperoni and green pepper;

The fraction with pepperoni = 3/4

Fraction of whole with green pepper and pepperoni: 2/3 of 3/4

simplifying the above equation, we get

= 2/3 × 3/4

= (2 × 3) / (3 × 4)

= 6/12 = 1/2

Therefore, the fraction of whole pizza has both pepperoni and green peppers exists 1/2.

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C

1) Writing down the data gathered from that :

lbs number of fishes

18 2

19 1

20 1

26 1

31 3

34 1

2) Examining the steam and plot graphs we can state that the best represents those collected data is the option C

Note how many times those data are enlisted, and you can conclude that. On the left the tens and on the right the units, just like the "key" displays.

3) Hence, the answer is C

The length of the longest side of the metal triangle is 7.8 inches

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Answer: 16.9 feet.

Step-by-step explanation:

The person's shadow is 1.3 times its shadow, which was found by dividing 5.2 by 4. Once we have the proportion, we can multiply the tree's shadow by 1.3 and get 16.9 feet.