Find the domain and range. Graph each relation.
1. {(0, 0), (1, -1),(2, -4).(3,-9),(4, -16)}

Answer:

50.28 m²

Step-by-step explanation:

Area of a circle = pi r²

= 22/7 × 4 × 4

= 50.28 m²

Answer:

8/9×7/4×(-5/8)=8/9×(-5/8)×7/4

Step-by-step explanation:

first equation

By applying the distributive property, the equivalent expression to 3v - (7.9w - 9.3) is: 3v - 7.9w + 9.3.

Two expressions are equivalent if they both have equal values when simplified or evaluated.

To apply the distributive property, the term or operation sign outside the parentheses is used to multiply each of the terms that are within the parentheses.

Given the expression, 3v - (7.9w - 9.3)

Apply the distributive property to find an equivalent expression

3v - (7.9w - 9.3) = 3v -(7.9w) - (-9.3)

3v - (7.9w - 9.3) = 3v - 7.9w + 9.3

Therefore, by applying the distributive property, the sign "-" is distributed to get the equivalent expression to 3v - (7.9w - 9.3, which is: 3v - 7.9w + 9.3.

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The expression represented by 21 increased by twice Gail's height is 21 + 2g

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

21 increased by twice Gail's height

Where

g represents Gail's height

So, we have

21 increased by twice Gail's height ⇒ 21 increased by twice g

Twice means 2*

So, we have

21 increased by twice Gail's height ⇒ 21 increased by 2g

increased by means +

So, we have

21 increased by twice Gail's height ⇒ 21 + 2g

Hence, the expression represented by 21 increased by twice Gail's height is 21 + 2g

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The algebraic expression that describes how much Samantha earns after h hours if she makes $14.55 an hour is x = $14.55h, where x is the amount of money she earns and h is the number of hours she works.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question.

If Samantha makes $14.55 an hour, and h is the number of hours she works, then the algebraic expression to demonstrate how much she earns is:

x = $14.55h

where x = amount of money she earns

h = number of hours she works

Another real life situation:

A piggy bank contains $25, and $1.50 is added each day. The algebraic expression to demonstrate how much money the piggy bank contains is:

m = $25 + $1.50(d)

where m = amount the piggy bank contains after d days

d = number of days

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The total length between the two fences is 136 ft, and the total cost is 164.56 dollars.

We have a square garden with a perimeter of 60ft. Then if the sidelength of the square is S, we have that:

60ft = 4*S

S = 60ft/4 = 15ft

We know that the first fence is around the perimeter of the garden, so the length of the first fence is exactly 60ft.

Now, the other fence is 2ft away from the first fence, so it forms a square of sidelength of:

15ft + 2*2ft = 19ft

Then the perimeter of this square is:

P = 4*19ft = 76ft

This means that the length of the second fence is 76 ft.

So the total length of fence is 76ft + 60ft = 136ft

And the cost is $1.21 per ft, then the total cost for the fence is:

C = 136*$1.21 = $164.56

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log (24) is each expression as a single logarithm.

A logarithm is defined simply.

Each of the properties of exponential functions has an analog for

logarithmic functions.

logb(x)+logb(y)= logb(xy)

Use this properties

log 8+log 3  = log ( 8 * 3 )

log 8+log 3  = log (24)

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The correct statement regarding the algebra will be:

A. Leena consumed 1,500 calories at dinner.

B. The equation StartFraction 2 Over 3 EndFraction left-parenthesis x plus 400 plus 350 right-parenthesis equals x.(x + 400 + 350) = x can be used to model the situation.

Calories consumed at dinner = x

x = 2/3 of daily calorie

Hence, the fraction of calories consumed during breakfast and lunch can be calculated thus :

1 - 2/3 = 1/3

Let the total amount of calories consumed per day = c

1/3 × c = 750

c/3 = 750

c = 750 × 2 = 2250 calories

Calories consumed at dinner = (2250 - (750)) = 1500 calories

Therefore, the correct options are A and B.

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The fractions 16/20, 12/15, and 8/10 are equivalent fractions to 4/5.

When writing equivalent fractions, the numerator and denominator should be multiplied or divided by the same number. This is the reason why when these fractions are simplified, they are reduced to the same value.

Let us understand the two ways in which we can make equivalent fractions:

Now, Divide the denominator or numerator by the same number or multiply the denominator and the numerator by the same number.

So, the equivalent fractions for 4/5 are:

(4/5) × (2/2) = (4 × 2) / (5 × 2) = 8/10

(4/5) × (3/3) = (4 × 3) / (5 × 3) = 12/15

(4/5) × (4/4) = (4 × 4) / (5 × 4) = 16/20

After simplifying, 16/20, 12/15, and 8/10 equal 4/5, indicating that they are identical in nature.

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Answer: 1.2 tons

Step-by-step explanation:

Answer:  1,777

Step-by-step explanation:

The result of simplifying each number (32)⁻⁴/₅ using the exponent rules is 1/16

To solve this exercise we have to resolve algebraic operations following the exponent rules.

(32)⁻⁴/₅

Base= 32

Exponent= -4/5

As we have a negative exponent, you have to pass the exponent to the denominator:

1/(32)⁴/₅

As we have a fractional exponent, you must convert the exponent to root:

1/[tex]\sqrt[5]{}[/tex](32)⁴

1/[tex]\sqrt[5]{}[/tex]1048576

1/16

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

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The result of simplifying each number 1000⁴/₃ / 100³/₂ using the exponent rules is: 10

To solve this exercise we have to resolve algebraic operations following the exponent rules.

(1000⁴/₃) / (100³/₂)

Base: 1000 = 10³

Base: 100 = 10²

As 1000 is the same as 10³ and 100 is the same as 10², we get:

(10³)⁴/₃ / (10²)³/₂

Using the power of a power rule that indicates that: the exponent result will be the multiplication of these exponents, we have:

10³*⁴/₃ / 10²*³/₂

10¹²/₃ / 10⁶/₂

10⁴ / 10³

Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:

10⁽⁴⁻³⁾

10

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

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Frequency refers to the number of times an event or a value occurs. A frequency table is a table that lists items and shows the number of times the items occur(C)

The rate of change in gas usage is 34.70 miles per gallon.

The rate of change is the total gallons used for every one mile travelled. To determine the rate of change, divide the miles driven by the gallons used.

Division is the mathematical operation that is used to determine the quotient of a number. It involves grouping a number into equal parts using another number. The sign used to represent division is ÷.

Rate of change = miles driven / gallons used

1041 / 30 = 34.70 miles per gallon

1596. 2 / 46 = 34.70 miles per gallon

1665.6 / 48 = 34.70 miles per gallon

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The measure of variability easiest to compute, but seldom used as the only measure, is the range.

The range is the term that is used to refer to the difference that lies between the highest value and the lowest value in a data set while computing a statistical data.

The measures of variability are 4 in number. These are

Hence we can conclude that The measure of variability easiest to compute, but seldom used as the only measure, is the range.

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The solution to the inequality expression 22 >= -3x + 7 and -3x + 7 >-17 is -5 <= x  < 8

A number line is a  vertical or horizontal line that has endpoints and it is used to represent numbers at a constant interval

The expression is given as

22 >= -3x + 7 and -3x + 7 >-17

The above expression is an inequality expression

As a general rule:

Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal

So, we have

22 >= -3x + 7 and -3x + 7 >-17

Evaluate the like terms

15 >= -3x  and -3x  >-24

Divide through by -3

So, we have

-5 <= x  and x  < 8

Combine the expressions

-5 <= x  < 8

Hence, the solution to the inequality expression 22 >= -3x + 7 and -3x + 7 >-17 is -5 <= x  < 8

See attachment for the number line

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If you have applied for two jobs a and b and the probability that you get an offer for the job a is 0.25 and the probability of being offered job b is 0.20, then the probability that you will be offered both jobs is 0.05.

Probability is a term used in mathematics that is concerned with the numerical illustration of the possibility of an event to take place. Its value is between 0 and 1 where 0 illustrates the impossibility of the event to take place while 1 illustrates the certainty of an event to take place.

As the probability of both the jobs are not dependent on each other, the probability that both jobs will be offered can be calculated by the formula;

P(A∩B) = P(A) × P(B)

Here, P(A∩B) represents the probability of both the events to take place together

As P(A) is equal to 0.25

P(B) is equal to 0.20

P(A∩B) = (0.25)(0.20)

P(A∩B) = 0.05

Therefore, 0.05 is the probability that both jobs will be offered.

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Answer:

x=11

Step-by-step explanation:

3x=2+31

3x=33

divide both sides by the coefficient of x

x=11

The isolated value of h is found to be V/πr²

The three-dimensional solid shape of a cylinder is made up of two parallel bases connected by a curved surface. These bases have the shape of a spherical disc. The axis of the cylinder is a line drawn through the centre or connecting the centres of two circular bases. The density of a cylinder is determined by its volume, which represents how much material may be immersed in it or carried inside of it. The formula πr²h, where r is the radius of the circular base and h is the height of the cylinder, determines the volume of a cylinder. Any substance that can fill the cylinder consistently with liquid or another material may be used as the component.

According to given formulae:

V=πr²h

On dividing both side with πr² we get

⇒V/πr²=πr²h/πr²

(Solving R.H.S)

⇒h=V/πr²

Therefore, the value of h in the given question is V/πr²

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Answer:

52 is the answer to that question

The answer of the given expression is 77 .

We have given an expression 68-5-(13-27)=77

First simplify LHS = 68-5-(13-27)            ...(1)    

According to BODMAS first solve the bracket term .

On solving the bracket term , we get

13 - 27 = - 14

Now put this value in equation (1) , we get

   [tex]LHS = 68-5-(-14) \\LHS=68-5+14\\[/tex]

Now , apply addition and subtraction operation

    [tex]LHS = 63+14\\LHS=77[/tex]

as RHS = 77 = LHS

Hence , the evalution is correct.

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Solution: the number of miles in the taxi ride.= 180 miles

Miles : A unit of length equal to exactly 1.609344 kilometers.

Also equal to 1,760 yards or 5,280 feet.

The average walking speed is 3 miles per hour (so it takes about 20 minutes to walk 1 mile).

The taxi company charged a pick-up fee of $4.60

The taxi company charged $0.50 per mile.

The total fare was $13.60

The total fare = pick-up charged + traveling charged

the number of miles in the taxi ride = m

$13.60= $4.60 +  m x $.50

$13.60-$4.60 = $.50m

9 =.50 m

9 /.50 = m

900/5 = m

180 = m

the number of miles in the taxi ride.= 180 miles

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Answer:

Arrow

Because I used a word calc that took me like 5 mins to find lol

If an angle is acute, then its supplement is an obtuse angle (true).

An acute angle is an angle that has a measurement that is below 90 degrees (right angle).

The measurement of an obtuse angle is less than 180 degrees but more than angle 90 degrees (right angle).

The supplement of an angle is the measure of that angle subtracted from 180 degrees.

For example, if an acute angle measures 30°, therefore:

The complement of 30° = 90 - 30 = 60°. 60° is also an acute angle.

The supplement of 30° = 180 - 30 = 150°. 150° is an obtuse angle.

Therefore, we can conclude that: if an angle is acute, then its supplement is an obtuse angle (true).

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There will be a 6% rise using the 0.9646 multiplier, then a 9% reduction.

Simply said, a multiplier is a factor that increases the basic value of another object. For example, a 2x multiplier would double the initial value. On the other hand, a multiplier of 0.5x would actually cut the basic amount in half. In finance and economics, multipliers come in a wide variety.

Say that Number is 100N.

growth of 6%

= (6/100)100N

= 6N

Number following reduction: 100N + 6N = 106N

9% lessening

= (9/100)106N

=954N/100

= 9.54N

Final result after reduction = 106N - 9.54N

=96.46N

=9646N/100

= 9646 * 100N/100 * 100

= 9646 * 100N/10000

= 0.9646 * 100N

There will be a 6% rise using the 0.9646 multiplier, then a 9% reduction.

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Part A: Expression to represent the total amount of juice left in the jar : (0.25 +0.30 + 0.75) - 0.20

Part B: Simplifying above expression using properties of addition and subtraction gives that total amount of juice left is  1.1 liter.

An expression is a group of terms consisting of numbers and mathematical operators ( +, -,*,/) and "=" is not there.

Given that a  jar contains 0.25 liter of apple juice, 0.30 liter of grape juice, 0.75 liter of pineapple. Melissa then drank 0.20 liter of the mixture.

Therefore, total juice in the jar before Melissa drank it = quantity of (apple juice + grape juice + pineapple juice ) = (0.25+ 0.30+0.75) liters

After Melissa drank 0.20 liter juice left = total  juice before - 0.20

Thus, Expression to represent the total amount of juice left in the jar is: (0.25 +0.30 + 0.75) - 0.20

And it can be solved as (0.25 +0.30 + 0.75) - 0.20 = (0.55+0.75)-0.20

                                                                                   = 1.30-0.20 = 1.1 liter

Thus, after simplifying expression we get that the left juice in the jar is 1.1 liter.

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Answer:

n = (f + w)/b

Step-by-step explanation:

bn - w = f

Rearrange the equation so that the subject is on its own, in the format Ax = B

bn - w + w = f + w

bn = f + w

Isolate the subject, so that it's in the format x = C

bn = f + w

bn/b = (f + w)/b

n = (f + w)/b

The quadratic equation is an equation of the form ax^2 + bx + c =0. Note that the quadratic equation is a polynomial of degree two. This implies that the highest power of x in the quadratic function is power two.

The quadratic formula is given by x = -b ± √b^2- 4ac/2a. The discriminant can be used to obtain the nature of the roots of a quadratic equation. If the roots are real and positive we would have a positive discriminant. If the value of the discriminant is negative then it implies that the roots of the equation are imaginary.

The discriminant can be given as √b^2 - 4ac. The statements that are true about the quadratic formula are;

x = -b/2a gives the line of symmetry

√b^2- 4ac/2a gives the maximum and the minimum points of the quadratic equation

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The numeric values for the function are given as follows:

A. f(a) = 9a - 9.

B. f(a + h) = 9a + 9h - 9.

C. f(a + h) - f(a) = 9h.

D. (f(a + h) - f(a))/h = 9.

To find the numeric value of a function, we replace each instance of the variable by the desired value.

For this problem, the function is given by:

f(x) = 9x - 9.

At x = a, the numeric value is given by:

f(a) = 9(a) - 9 = 9a - 9.

Hence:

f(a) = 9a - 9.

At x = a + h, the numeric value is given by:

f(a + h) = 9(a + h) - 9 = 9a + 9h - 9.

Hence:

f(a + h) = 9a + 9h - 9.

Subtracting these values, we have that:

f(a + h) - f(a) = 9a + 9h - 9 - 9a + 9 = 9h.

Hence:

f(a + h) - f(a) = 9h.

Dividing by h, we have that:

(f(a + h) - f(a))/h = 9h/h = 9.

Hence:

(f(a + h) - f(a))/h = 9.

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