A manager needs to rent a meeting room. This function can be used to determine
room is rented.
f(1) = 100
f(t)=f(t-1)+20
Use the function to complete the table indicating the cost of renting the room for e
Hours Rented
1
2
3
4
Cost

Answer:

1.

f(0) = -3

f(1) = f(0) + 0.5 = -3 + 0.5 = -2.5

f(2) = f(1) + 0.5 = -2.5 + 0.5 = -2

f(3) = f(2) + 0.5 = -2 + 0.5 = -1.5

f(4) = f(3) + 0.5 = -1.5 + 0.5 = -1

2.

f(n) = 0.5n - 3

This function is linear.

The equation for the line that passes through the given point and is perpendicular to the given line is x - 4y = 3

Given : x - 4y = 8

4y = x- 8

On dividing by 4 we get;

y= x/4 - 2

This is of the form y = mx + c

Thus m in this case on comparing we get m= 1/4

We know the formula of the slope ;

y - y₁ =m ( x - x₁ )

y - 1 = 1/4 ( x- 7)

On cross multiplying we get ;

x- 4y = 3

Thus the equation for the line that passes through the given point and is perpendicular to the given line is x - 4y = 3 .

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Answer:

I believe you have a 25% of spinning an A

Step-by-step explanation:

If there are two possible A's to land on and there are 8 different choices,

2/8 = 1/4 and 1/4 is equal to 25%

So the probability would be "not likely"

Hope this helps! Please have an amazing day! :)

(a) 65 means the car will travel 65 miles in 1 hour .

(b) The car will travel 97.5 miles in 1.5 hours .

(c) The car will take 0.4 hours to travel 26 miles at his speed .

In the question ,

it is given that

the car is traveling down a highway at a constant speed

and the equation representing is d =65*t

Part(a)

On comparing , the given equation with the equation of speed , time and distance

which is , distance = speed × time

on comparing both the equations , we get speed = 65 mph .

hence , 65 means the car will travel 65 miles in 1 hour .

Part(b)

substituting the value t = 1.5 hours in the given equation , we get

d = 65×1.5

= 97.5

hence , The car will travel 97.5 miles in 1.5 hours

Part(c)

Substituting the value of d = 26 miles in the given equation , we get

26 = 65×t

t = 26/65

t = 0.4 hours

hence , It takes the car 0.4 hours to travel 26 miles.

Therefore , (a) 65 means the car will travel 65 miles in 1 hour .

(b) The car will travel 97.5 miles in 1.5 hours .

(c) The car will take 0.4 hours to travel 26 miles at his speed .

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Regarding the scales to plot the points on the table, we have that:

To find the ideal scales, we have to verify which are the extrema values of each variable, that is, the minimum and maximum value of each x and y.

From the table, the minimum and maximum values of X are given as follows:

This is a small range of values, hence the horizontal scale should be of 1.

From the same table, second column, the minimum and maximum values of Y are given as follows:

This is a large range of values, hence an ideal vertical scale is of 200, as then the number of traces would be almost the same as the number of traces of x.

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Since y is directly proportional to x then the value of y is 8

In a proportional relationship, one variable is always equal to the constant value of the other.

It is clear that y increases in proportion to x by applying the direct proportionality formula, y = kx.

Given y is directly proportional to x.

Therefore y = kx

now at x = 20 , y = 16/5

∴16/5 = 20 k

or, k = 16 /100

Now at x = 50 ,

Y = 16 /100 × 50

or, y = 8

Therefore that value of y is 8.

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The total surface area of the triangular prism is 756 meter²

Given,

A triangular prism and its net.

We have to find the surface area of the triangular prism.

First we can consider the right angled triangle.

Height = 9 meter

Base = 12 meter

Hypotenuse = 15 meter

Area of the right angled triangle = (1/2 bh)

Here,

Area = 2 × (1/2 bh) = 2 × (1/2 × 12 × 9) = 2 × 6 × 9 = 108 meter²

Now, area of right rectangle.

Area of rectangle = length × breadth

Here, the breadth of the rectangle is the height of the triangle = 9 meter

Length = 18 meter

Area = length × breadth = 9 × 18 = 162 meter²

Then, area of middle rectangle.

Length = 18 meter

Breadth = 12 meter

Area = length × breadth = 18 × 12 = 216 meter²

Next, area of left rectangle.

Length = 18 meter

Breadth = Hypotenuse of the triangle = 15 meter

Area = length × breadth = 18 × 15 = 270 meter²

Now, lets calculate the total surface area of the triangular prism.

Surface Area of triangular prism = 108 + 162 + 216 + 270 = 756 meter²

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Answer:

y = -x - 7

Step-by-step explanation:

Perpendicular to the slope m = 1 is the slope -1/m = -1.

y = m * (x - Px) + Py

y = -1 * (x - 2) + (-9)

y = -x + 2 - 9

y = -x - 7

Answer:

Step-by-step explanation: I cant do the tree Diagram, however, I will help if you flip a coin (Heads or tails) The chances of it landing on heads will divide by 2 every time its heads or tails again and vise versa .

Answer:

Step-by-step explanation:

1,3        2,6        4,8

I hope it helps, thank you!

Answer:

110

Step-by-step explanation:

To find the measure of the exterior angle we first need to find the value of t.

The sum of interior angles in a triangle is equal to 180° so we can write the following equation:

t + 10 + t + t + 20 = 180 add like terms

3t + 30 = 180 subtract 30 from both sides

3t = 150 divide both sides by 3

t = 50

The exterior angles and the angle represented with t + 20 make a straight line

and they are supplementary angles so their sum is equal to 180

t + 20 = 70 to complete this to 180 we need 110

Answer:

4cm..............................

Step-by-step explanation:

24/6=4

4x6=24

The amount in pounds of sliced ham he can buy is 083 pounds.

It costs $3.50 per pound of sliced ham at the deli and Weylan spent $2.90.

The number of pounds of sliced ham he bought can be calculated as follows:

Hence,

3.50 dollars = 1 pounds of sliced ham

2.90 dollars = ?

cross multiply

amount of pounds he bought = 2.90 × 1 / 3.50

amount of pounds he bought = 2.90 / 3.50

amount of pounds he bought = 0.82857142857

amount of pounds he bought = 0.83 pounds

Therefore, the amount of pounds bought to the nearest hundredth is 0.83 pounds.

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The lottery's anticipated worth is $80.

Given that,

The probability of receiving $125 is 0.25; the likelihood of receiving $100 is 0.3; and the likelihood of receiving $50 is 0.45.

A) EV=125*.2+100*.3+50*.5=$80

The lottery's anticipated worth is $80.

The expected value is obtained by multiplying each result by its likelihood.

The expected value of the lottery is then calculated by adding up all of these.

This is what we have: ;;

125(0.2) + 100(0.3) + 50(0.5) (0.5)

= 25 + 30 + 25 = $80

B) This is the formula for variance is shown in figure :

So, we can calculate the variance as follows:

.2*(125-80)^2+.3*(100-80)^2+.5*(50-80)^2=975

C) A risk-neutral person would pay $80 or less to play the lottery.

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Answer:

Step-by-step explanation:

Expected value of the lottery is $83.75.

Variance of the outcome is 909.6.

A risk-neutral person would pay $83.75 or less to play the lottery.

a) The expected value is obtained by multiplying each result by its likelihood.

The expected value of the lottery is then calculated by adding up all of these.

This is,

125(0.25) + 100(0.3) + 50(0.45)

          = $83.75

b) we can calculate the variance as follows:

Variance=.25*(125-83.75)^2+.3*(100-83.75)^2+.45*(50-80)^2=909.6

c) A risk-neutral person would pay $83.75 or less to play the lottery.

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Answer: a = 2.2

C = 5.1,-5.1

The evaluation of the numbers (-3)^8 and (-3)^9 will be (-3)^17.

Based on the information given, it should be noted that this illustrates that the numbers are raised to power.

In this case, it should be noted that we want to multiply the powers, this illustrates that we gave to add the powers. This will be:

Evaluate (-3)^8 × (-3)^9

Note that 8 + 9 = 17. Therefore,

Evaluate (-3)^8 and (-3)^9

= -3^17.

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Evaluate (-3)^8 × (-3)^9

The radius of the cylinder is 5 m and the height is 0.5 m.

Then, the total surface area is

So, the surface area is

Now, the volume is

So, the volume of the cylinder is 39.27 cubic meters.

Answer:

A= C + 12%C = 1.12C

S=.C -2%C = .98C

A,C and S are the speeds of Alex, Cameron and Sam

400 meter race

how far is Sam from the finish line when Alex crosses the finish line?

distance = speed times time

400 = AT where T=Alex' finish time

400=1.12T

400=CU where U = Cameron's finish time

400=SV where V = Sam's finish time

T<U<V

Alex' finish time is less than Cameron's finish time is less than Sam's finish time

if Cameron runs at 20 meters per second, finishing in 20 seconds

then Sam is about 50 meters from the finish line when Alex finishes

sorry if i´m too late, hope this helps!

Given:

The function is,

Replace x by -x in the given function,

It is observed that, when the x is replace by -x the function end up with exactly opposite of the given function.

Thus, the given function is odd.

Answer:

y-1= -(3/4)(x-8)

Step-by-step explanation:

y -1  =(-3/4)(x-8)

Distribute

y -1= (-3/4)x+6

Get rid of -1 by adding 1 to both sides

y=(-3/4)x+7

Hope this helps :)

Answer:

with what?

Step-by-step explanation:

Answer: 10 cm

Step-by-step explanation: because i am alwauys right about your mom

Answer:

ok wirrudi 123 alf8 434 21 3dis w

$139,450

==========================================================

Explanation:

asset = an item that is either cash or can be turned into cash

liability = something that needs to be paid back (eg: truck loan)

A = total assets

A = (homeValue) + (workEquipment) + (carValue) + (investments)

A = ( $175,742 ) + ($3,365) + ($44,346) + ($61,225)

A = $284,678

B = total liabilities

B = (mortgage)+(credit card balance)+(truck loan)

B = ($76,765)+($2,055)+($66,408)

B = $145,228

C = net worth

C = A - B

C = ($284,678) - ($145,228)

C = $139,450 which points us to choice A as the final answer.

The net worth of the carpenter is $144,633.

Given that, Home value = $175,742, Mortgage = $76,765, Credit card balance = $2,055, Owned work equipment = $3,365 and Car value = $44,346.

Net worth is the value of all the non-financial and financial assets owned by an individual or institution minus the value of all its outstanding liabilities.

Here,

Net worth = Financial assets - Liabilities

= (175,742+3,365+44,346) - (76,765+2,055)

= 223,453 - 78,820

= $144,633

Therefore, the net worth of the carpenter is $144,633.

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Given:

Ratio of ounces of oil to gallons of gasoline = 9 : 11

Gallons of gasoline = 55 gallons

Let's find the ounces of oil.

To find the ounces of oil, we have the equation:

Thus, we have:

Let x represent the ounces of oil.

Cross multiply:

Therefore, there are 45 ounces of oil.

ANSWER:

45 ounces of oil

Let p(x) be the required polynomial.

we are given that p(x) has a zero 1 with multiplicity 2

in other word, this means that (x-1) occurs twice as a factor of p(x).

Expressions with polynomial functions include variables with various degrees, non-zero coefficients, positive exponents (of variables), and constants. A polynomial in "b" of degree 2 is, for instance, f(b) = 4b2 - 6.

Likewise, (x-3) appears as a factor of p(x) once.

we are also given that the degree of p(x) is 3.

So, p(x) can not have more than 3 linear factors.

Altogether,

p(x) = k(x-1)^2  (x-3), where constant k ∈ R - {0}.

We may take k = 1 and get the desired polynomial,

p(x) = ( x-1)^2 ( x-3) = x^3 - 5x^2 +7x -3

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The dimensions of the mold are a length and width of 3 inches and a height of 7 inches.

The volume of a rectangular prism is the space that it contains. We know that the volume of any prism is calculated by multiplying its base area by its height.

Given :

Let's assume that the length and the width of the "box" is x.

It is said that the height is 4 inches greater, so the height is x+4.

The volume of the mold is:

V = (x)(x)(x +4)

V = x²(x +4 ) using the Distributive Property.

V = x³ + 4x²

Since from the question we have Volume = 63 cubic inches

The equation we have is,

63 = x³ + 4x²

Subtracting 63 from both sides of the equation,

x³ + 4x²- 63 = 0

The cubic equation can be written as,

(x−3)(x²+7x+21) = 0

The solution of the quadratic equation (x²+7x+21) is,

x = -b ±√(b² - 4ac) / 2a

a = 1 , b =7 and c = 21

Substituting the values in the formula,

x = -7 ±√(7² - 4(1(21)) / 2(1)

x = -7 ±√-35 / 2

Hence,there are no real solutions to the quadratic equation.

There is only one real solution to the equation x = 3.

Therefore, the length and width of the rectangular prism are 3 inches and the height is x+4 = 3+4 = 7 inches.

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Yes, it is a solution

y = -10x + - 4

The given point: (0, -4)

To know if it is a solution, we need to replace the y and x with the points given.

If the result on the left hand side is the same as the right hand side then, it is a solution

x =0, y = -4

-4 = -10(0) + -4

-4 = 0 + (-4)

Multiplication of same sign gives positive number. Multiplication of opposite signs give negative number.

-4 = 0 - 4

-4 = -4

The left hand side is the same as the right hand side. Hence, it is a solution

Answer:

Yes it is a solution

Step-by-step explanation:

y = -10x + - 4

Point: (0, -4)

The missing reasons are for the given two triangles VXW and VYZ are found.

The missing reasons for the following proof are -

Thus, the missing reasons are for the given two triangles VXW and VYZ are found.

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Answer:

50.126

Step-by-step explanation:

hope this helps

The solution is 50.126

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

100 times my number is 12.6 more than 5000

Let the number be x

100 times the number = 100x

Now, 100x is 12.6 more than 5000

100x = 5000 + 12.6

100x = 5012.6

Divide by 100 on both sides , we get

x = 50.126

Hence , the solution is 50.126

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