50PTS!!!! NEED 5min!!

In 2009 the price of gas was $2.00 and in 2018 the price was $3.00, use this information to answer the following:

1. Give the average rate of change from 2009 to 2018. Label the
answer with a unit rate.

2. Assume the trend from 2009 to 2018 continues, use the average
rate of change from part e to compute the cost of gas in 2025

Answer: Tiffany

Step-by-step explanation: Ramon Ratio 8:2 can be reduced to 1 cup of sugar every 4 cups of water. Tiffany Ration is 9:3 which is reduced to 1 cup of sugar every 3 cups of water.

y = 7²,y + (1/2)x = 9 and 2.3 = y - 5.8x are the linear function thus option (A),(D) and (F) are correct.

A straight line on the coordinate plane is represented by a linear function.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

A linear function is a line in a coordinate plane with a constant slope and can be written in form of y = mx + c.

Thus the degree of x and y will be 1.

For example, y = 7² can be written as, y = 0(x) + 7² so it will be a linear line.

Another y + (1/2)x = 9 and  2.3 = y - 5.8x are can be written as y = mx + c so they will be linear functions.

Hence "the functions y = 7²,y + (1/2)x = 9 and 2.3 = y - 5.8x are the linear function".

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Answer:

Solve the equation for [tex]{y}[/tex].

[tex]y=\frac{5x}{2}[/tex]

Choose any value for [tex]{x}[/tex] that is in the domain to plug into the equation.

Choose [tex]{0}[/tex] to substitute in for [tex]{x}[/tex] to find the ordered pair.

[tex]{(0,0)}[/tex]

Choose [tex]{1}[/tex] to substitute in for [tex]{x}[/tex] to find the ordered pair.

[tex](1,\frac{5}{2})[/tex]

Choose [tex]{2}[/tex] to substitute in for [tex]{x}[/tex] to find the ordered pair.

[tex]{(2,5)}[/tex]

These are three possible solutions to the equation.

[tex]{(0,0),}[/tex] [tex](1,\frac{5}{2} )[/tex], [tex]{(2,5)}[/tex]

The average speed for the entire duration of trip is 52 mph.

The total distance traveled by an object in a given time frame is defined as its average speed. It is computed by dividing the entire distance traveled by the total amount of time spent.

Given,

S1 = 65 mph , T1 = 2.2 hours

S2= 0 mph (during lunch break) , T2 = 45 min = 45 / 60 hour

                                                                              =0.75 hour

S3= 55mph , T3 = 3.8 hours

Therefore, S avg =(S1T1 + S2T2 + S3T3)/(T1 + T2 + T3)

                          =(65×2.2 + 0 ×0.75 + 55×3.8)/(2.2 + 0.75 + 3.8)

                          = 52.148 mph

The average speed for the entire duration of trip is 52 mph.

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The significant figure by multiplying 101 with 52 is 5000.

Here given,

101 x 52

Round 101 to 100 and 52 to 50, then multiply together to get 5000.

Significant Figures: 1

Decimals: 0

The significant notation: 5e+3

Therefore the significant notation is 5000.

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The orientation of ABCD is clockwise, as is the orientation of A'B'C'D'. This means the transformation involves a even number of reflections (may be 0).

Does the order of transformations matter in functions?

Order is not important. According to algebra, y=12f (x3). Our four transformations are (1), (3), (2), and (4); all four are in the x direction. When we combine a stretch and a translation in the same direction, the sequence counts.

The orientation of AB is North, and the orientation of A'B' is West, so a rotation of 90° CCW (or equivalent) is involved. We can find the point of intersection of the perpendicular bisectors of AA' and BB' (at (-1, -1)) to determine a suitable center of rotation.

ABCD can be transformed to A'B'C'D' by ...

rotation 90° CCW about the point (-1, -1)

Rotation by 90° can also be accomplished by reflection across a diagonal line. Since we want the orientation to remain unchanged, we need another reflection to put the figure into its final position. A suitable alternate sequence for mapping ABCD to A'B'C'D' is ...

reflection across the line y=x

reflection across the line x=-1

Complete question: A.) Describe a transformation sequence that will transform quadrilateral ABCD into quadrilateral A’B’C’D’.

b.) There is more than one way to transform quadrilateral ABCD into quadrilateral A’B’C’D’. Describe a second sequence of transformations that will accomplish this goal. Explain what tool you used as an aid in identifying a transformation sequence.

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Answer:

170 is the smallest

745 is the largest

Step-by-step explanation:

It is what it is

Answer:

$6.50

0.05x + 0.01y

Step-by-step explanation:

There are 100 pennies in a dollar. So each penny is 1/100 = $0.01

Each nickel is worth 5 pennies. So there are 20 nickels per dollar and therefore each nickel is worth 20/100 = $0.05

If you have 100 nickels, this works out to 0.05 x 100 = $5.00

If you have 150 pennies this works out to 0.01 x 150 = $1.50

Total value = 5 + 1.50 = $6.50

If you have x nickels and y pennies then that, inn dollar amount, would work out to

0.05x + 0.01y

The probability of reaching into the box and randomly drawing a chip number that is greater than 3150 is 0.3675

In this question we have been given there are 498 identical plastic chips numbered 1 through 498 in a box.

We need to find the probability of reaching into the box and randomly drawing a chip number that is greater than 315

Total number of chips = 498

so, n(S) = 498

Let event A: drawing a chip number that is greater than 315

The number of chips greater than 315:

498 - 315 = 183

So, n(A) = 183

The probability of reaching into the box and randomly drawing a chip number that is greater than 315 using the formula of probability,

p(A) = n(A)/n(S)

p(A) = 183/498

p(A) = 0.3675

Therefore, the required probability is 0.3675

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Answer:

it's c trust me I had the same problem

44 is the proportion of the botched dressing will be olive oil.

Given, Miguel is mixing up a salad dressing. regardless of the number of servings,

the recipe requires that 58 of the finished dressing mix be olive oil, 14 vinegar, and the remainder an even mixture of salt, pepper and sugar. if he accidentally doubles the vinegar and forgets the sugar altogether,

we have to find the proportion of the botched dressing that will be olive oil.

first we will find the amount of the even mixture of salt, pepper and sugar.

as, olive oil + vinegar + even mixture of salt, pepper and sugar = 100

58 + 14 + mixture of salt, pepper and sugar = 100

mixture of salt, pepper and sugar = 100 - 72

mixture of salt, pepper and sugar = 28

if he mixed doubles of the vinegar i.e. 28 then olive oil be,

x + 28 + 28 = 100

x = 100 - 56

x = 44

Hence, 44 is the proportion of the botched dressing will be olive oil.

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i) The random variable is the number of suspicious transmissions reviewed until finding the first blocked one and the random variable is distributed usinng geometric distribution

ii) The expected value of the random variable: 2.5 which means the specialist will review 2.5 suspicious transactions on average before finding the first transmission that will be blocked.

In this question we have been given a fraud detection system identifies suspicious transactions and sends them to a specialist for review. The specialist reviews the transaction, the customer profile, and past history.

Based on past history, the specialist blocks 40 percent of the suspicious transactions.

so, p = 0.40

i. Let X represent the number of suspicious transmissions reviewed until finding the first blocked one.

We will use a geometric distribution to model the first transmission.

ii. We know that according to the geometric model the expected value of the random variable would be.

E(X) = 1/p ,

       = 1/0.4

       = 2.5

This means, the specialist will review 2.5 suspicious transactions on average before finding the first transmission that will be blocked.

Therefore,  i) the random variable: the number of suspicious transmissions reviewed until finding the first blocked one.

ii) the expected value of the random variable: 2.5

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The complete question is:

At a financial institution, a fraud detection system identifies suspicious transactions and sends them to a specialist for review. The specialist reviews the transaction, the customer profile, and past history. If there is sufficient evidence of fraud, the transaction is blocked. Based on past history, the specialist blocks 40 percent of the suspicious transactions. Assume a suspicious transaction is independent of other suspicious transactions.

Suppose the specialist wants to know the number of suspicious transactions that will need to be reviewed until reaching the first transaction that will be blocked.

(i) Define the random variable of interest and state how the variable is distributed.

(ii) Determine the expected value of the random variable and interpret the expected value in context.

The probability is [tex]\frac{2}{5}[/tex] ,that there is at least one diameter of the circle with two adults sitting on opposite ends of the diameter.

What is probability ?

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Have given,

Five adults and five children,

Total seats are available 10

P(an adults apposite of a children) = [tex]\frac{2}{10}[/tex]

P(a children apposite of a children) = [tex]\frac{2}{5}[/tex]

We know that ,

P(True) = 1 - P(Not True)

P(True) = [tex]1 - (\frac{2}{10} + \frac{2}{5} )[/tex]

P(True) =  [tex]\frac{2}{5}[/tex]

The probability is [tex]\frac{2}{5}[/tex] ,that there is at least one diameter of the circle with two adults sitting on opposite ends of the diameter.

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Answer:

Step-by-step explanation:

it is c

The average rate of change of the function at the interval 0 ≤ x ≤ 4 is 11.25

From the question, we have the following parameters that can be used in our computation:

x  0   1   2   3  4   5

y 3   6  12   24 48 96

The interval is given as

0 ≤ x ≤ 4

On the table, we have

x = 0 and y = 3

x = 4 and y = 48

This means that

f(0) = 3 and f(4) = 48

The average rate of change is then calculated as

Average rate of change = [f(4) - f(0)]/[4 - 0]

Substitute the known values in the above equation, so, we have the following representation

Average rate of change = [48 - 3]/[4 - 0]

Evaluate

Average rate of change = 11.25

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The interest earned in 5 years is $1096.

Interest is the fee a business pays a lender (creditor) to borrow money.

Given that, Brendan deposited $3,967 in an account earning 5% interest compounded annually.

A = P(1+r/100)ⁿ

n = 5, r = 5% = 0.05, P = 3967 and a = amount earned

A = 3967(1+0.05)⁵

A = 3967(1.05)⁵

A = 5063

Interest earned = amount - principal

Interest = 5063-3967

Interest = $1096

Hence, Brendan earned $1096 as interest.

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Answer:

$1096.01

Step-by-step explanation:

Answer: 2x+6xy+5y+11

Step-by-step explanation:

The operations between functions are:

a) h(f(3)) = 5

b) (f×g)(4) = -8

c) f(  g(h(0))) -1

The first thing we want to find is a composition, we want to find:

h(f(3))

That means that we need to evaluate h(x) in f(3), look at the graph and you can see that f(3) = -4

Replacing that we get:

h(f(3)) = h(-4)

And on the graph, we can see that h(-4) = 5

then h(f(3)) = 5

b) Now we have the product:

(f×g)(4) = f(4)*g(4)

Again, looking at the graph:

f(4) = -4

g(4) = 2

Then:

(f×g)(4) = f(4)*f(4)

(f×g)(4) = -4*2

(f×g)(4) = -8

c) Finally we have other composition:

f(  g(h(0)))

So we have 2 compositions, first we find:

h(0) = 5

f(  g(h(0))) = f(g(5))

Then:

g(5) = 0

f(  g(5)) = f(0)

Finally, look at the graph and you can see that f(0) = -1

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The complete equation in the slope-intercept form is y = 4x-1.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

So, the equation is,

y - y₁ = m (x - x₁)

And the standard form of the slope-intercept form:

y = mx+b,

where m is the slope and b is the y-intercept.

From the question, we have

m = 4 and coordinates of b is (0, -1).

So, the equation is,

y + 1 = 4 (x - 0)

y +1 = 4x

y = 4x-1

Therefore, the equation is y = 4x-1.

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A Type I error in this scenario would mean that Miley would conclude that the noise impacts the students when in fact it doesn't.

The definitions of Type I errors and Type II errors are presented as follows:

The hypotheses tested in this problem are given as follows:

A Type I error would mean that she rejected a true null hypothesis, meaning that Miley would conclude that the noise impacts the students when in fact it doesn't.

(rejected null hypothesis means that there is enough evidence to conclude that there are differences).

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Using Pythagoras theorem, the length of the ladder is 11 feet

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle xyz, in which we have x² = y² +z²​​. Here, y is the base, z is the altitude (height), and x is the hypotenuse. It is to be noted that the hypotenuse is the longest side of a right-angled triangle.

Data;

Using Pythagoras theorem;

x = 5² + 10²

x = 25 + 100

x = 125

x = √25

x = 11ft

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The inequality which can represent the above scenario is 3 ≤ p  

What is Inequality  ?

In mathematical expressions, inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. The symbols we will use in this instead of equals to are Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs.

≤ - less than or equal to

≥ - greater than or equal to

≠ - Not equal  

Main Body:

Given:  

On the day of the test, the teacher instructed the students to take out at least 3 pencils from their backpacks.

To find:

Determine which inequality represents this scenario.

Let us know about Inequality

In the given scenario,

The teacher asked the to take out at least 3 pencils from their backpacks. which the students can take out 3 pencils or 2 or 1 pencil (which is less than 3) but not greater than 3.  

Therefore,The inequality which can represent the above scenario is 3 ≤ p

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Answer: D. Zero is not a rational number

Step-by-step explanation:

[tex]0=\frac{0}{1}[/tex]. Thus, by definition, zero is rational.

In the graph showing fuel consumption for a car during a test run the correct statement is

The information given in the problem will help to find the equation of the graph in the form

y = mx + c

definition of variable to suit the problem

y = output variable = number of gallons

m = slope

x = input variable = number of miles

c = y intercept

The slope

= (3.5 - 0) / (73.5 - 0)

= 0.05

the y intercept is 0

the equation of the line is y = 0.05x

Only option the last option fits the equation as shown

number of gallons = 0.05 * number of miles

= 0.05 * 84 miles

= 4.2 gallons

= 4 gallons

hence the last option is the correct choice

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Answer:

garden=400/2

=200

4× side = perimeter=200

So,  =200/4

=50 m.

Step-by-step explanation:

Answer:

Length of garden is 50 m.

Step-by-step explanation:

Fence required for 1 time,

→ 400 ÷ 2

→ 200 m

Perimeter of square formula is,

→ P = 4 × L

Now length of the garden will be,

→ P = 4 × L

→ 200 = 4L

→ 4L = 200

→ L = 200/4

→ [ L = 50 m ]

Hence, length of garden is 50 m.

Using the provided points, Applying the substitution of the points in these system of linear equations. The equations which satisfies the points are the required answer. The answer is A) 3x+13y =14 and 6x+11y=-2

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

The set of two or more linear equations containing the same variables is known as a system of linear equations in mathematics. In this case, linear equations are first-order equations, where the maximum power of the variable is 1. One, two, or three variables may be present in a linear equation.

point = (-4,2)

for option A) 3*-4 +13*2 =14

14=14

and 6*-4 + 11*2 = -2

-2 = -2

For other options these equality doesn't holds.

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Answer:

x + .35X - .11(x - .35x)

Step-by-step explanation:

Let x = the original price of the stock.

x + .35x  This is first year

-.11( x + .35x) is the second year

x + .35X - .11(x - .35x)

The picture has the dimension of a rectangle and will have the area of 66.166 in square feet.

We have to convert the length and width to be in same unit, before calculating for the area by multiplying the length by the width, and then convert the result to be in square feet.

1 cm = 0.394 inches

126 cm = 126 × 0.394 inches

126 cm = 49.644 inches

So the picture has length 16 inches and width 49.644 inches

area of picture = 16 inches × 49.644 inches

area of picture = 794.304 square inches

1 inch = 0.0833 feet

794.304 square inches = 794.304 × 0.0833 square feet

794.304 square inches = 66.166 square feet.

In conclusion, the picture has an area of 66.166 square feet.

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