Jasmine has been working to save money and wants to have an
equation to model the amount of money in her bank account.
She has been depositing $175 a month consistently. She doesn't
remember how much money she deposited initially; however,
on her last statement, she saw that her account has been open
for 10 months and currently has $2,475 in it.
Which equation form do you choose and why?

Hey there!

2(x - 10x^2) - 6(x - 3)

DISTRIBUTE

= 2(x) + 2(10x^2) - 6(x) - 6(-3)

= 2x + 20x^2 - 6x + 18

COMBINE the LIKE TERMS

= 20x^2 - 4x + 18

Therefore, your answer is: 20x^2 - 4x + 18

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

D

Step-by-step explanation:

-20x^2-4x+18

Square root of 4 is not a polynomial. It is a quadratic function. Functions containing other operations like square root is not a polynomial.

A polynomial need not have any square root.  polynomial is a finite sequence form. it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions. Polynomial are sums and differences of polynomial terms. For an expression to be a polynomial term, any variables in the expression must have whole number powers. It should not have any square root, cube root or any negative values. Quadratic function can have square root cube roots and fraction values.

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The likelihood of choosing a blue marble from the pack at first is 6/20, as there are 6 blue marbles out of a add up to 20 marbles. the probability that Emma chooses a blue marble taken after a white marble is 0.063 or around 6.3%.

After one marble has been drawn, there are 19 marbles cleared out within the sack, of which 4 are white. Hence, the likelihood of choosing a white marble after having chosen a blue marble is 4/19.

To discover the likelihood of both occasions happening together (choosing a blue marble to begin with and a white marble moment), we duplicate the probabilities of each occasion:

P(Blue at that point White) = P(Blue) × P(White after Blue)

= (6/20) × (4/19)

= 0.063

thus, the likelihood that Emma chooses a blue marble taken after by a white marble is 0.063 or around 6.3%.

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If in triangle FGH, GF is congruent to GH and B and C are points such that G-H-C and G-F-B, then triangle FBC is congruent to triangle GHC.

Given that GF is congruent to GH, we have triangle FGH where FG is congruent to GH. Additionally, points B and C are located such that G is between H and C, and G is also between F and B.

By the Side-Side-Side (SSS) congruence criterion, if two triangles have corresponding sides of equal length, then the triangles are congruent. In this case, we can observe that triangle FBC has the corresponding sides FB and BC that are congruent to sides FG and GH of triangle FGH, respectively.

Therefore, using the SSS congruence criterion, we can conclude that triangle FBC is congruent to triangle GHC.


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Answer:

42

Step-by-step explanation:

if she is 30 years older than him he is now 42. I'm saying is maybe keep on practicing on a peice of paper you got this.

David's age is 2 years and David's mother's age is 32 years.

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

Let David's age is x years

David's mother's age is x+30 years

After 8 years

David's mother's age will be 4(x+8)

The equation that can be formed is

x+30+8 = 4(x+8)

x+38 = 4x+32

3x =6

x=2

David's age = 2 years

David's mother's age = 30 years.

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The exact value for the tangent of 240° is -0.422618261740699.  The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side of a right triangle.

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side of a right triangle. In order to calculate the tangent of 240°, first, find the ratio of the length of the opposite side to the length of the adjacent side. Then, use a calculator to convert the ratio into a decimal. To do this, simply divide the length of the opposite side by the length of the adjacent side. The decimal that is produced is the exact value for the tangent of 240°. In this case, the value is -0.422618261740699.

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Answer:

a = 1

Step-by-step explanation:

The given equation is:

=> 5x+y = 8

Also,

Point = (x,y) = (a,3)

So, x = a , y = 3

Putting this in the above equation

=> 5(a)+3 = 8

=> 5a = 8-3

=> 5a = 5

Dividing both sides by 5

=> a = 1

Answer:

B 16 Bowls

Step-by-step explanation:

Turn 3 3/4 into a decimal

3.75 times 16 is 60

To find the perimeter of the quadrilateral, we need to add up the lengths of all four sides. The first side is 2/27 in, the second side is 2/12 in (which simplifies to 1/6 in), the third side is V12 in, and the fourth side is 3v3 in.

To add them up, we need to simplify V12 and 3v3. V12 is the same as 2V3, so the third side is actually 2V3 in. 3v3 is the same as 3 times the square root of 3. Adding up all four sides, we get:
2/27 + 1/6 + 2V3 + 3V3
To simplify, we can combine the square roots:
2/27 + 1/6 + 5V3

To add the fractions, we need a common denominator:
4/54 + 9/54 + 270/54
Simplifying, we get:
283/54 in

Therefore, the perimeter of the quadrilateral in simplest form is 283/54 in.
To find the perimeter of the quadrilateral with the given side lengths, simply add all the side lengths together. The given side lengths are 2/27 in., 2/12 in., √12 in., and 3√3 in. Add them together:
Perimeter = (2/27) + (2/12) + (√12) + (3√3)
First, find a common denominator for the fractions:
Perimeter = (4/108) + (18/108) + (√12) + (3√3)

Now, add the fractions:
Perimeter = (22/108) + (√12) + (3√3)
Simplify the fraction:
Perimeter = (11/54) + (√12) + (3√3)
So, the perimeter of the quadrilateral in simplest form is 11/54 + √12 + 3√3 inches.

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Given the following polynomial:

You can follow the steps shown below in order to simplify it:

Step 1. Remember the Signs rules for multiplication:

Then, you can rewrite the expression as following:

Step 2. Now you must add the like terms (Remember that "like terms" are those terms whose variables are exponents are the same). Then, you get:

The answer is:

The predicted division of usage between the automobile mode and the mass transit mode is approximately 50% automobile and 29% mass transit, with the remaining percentage representing other modes or no mode at all.

To apply the logit model to calculate the division of usage between the automobile mode (ak = -0.005) and the mass transit mode (ak = -0.05), we need to first define the model equation:

P(auto) = exp(ak × x) / [1 + exp(ak × x)]

P(mass transit) = 1 / [1 + exp(ak × x)]

where P(auto) is the probability of using the automobile mode, P(mass transit) is the probability of using the mass transit mode, ak is the parameter associated with each mode (ak = -0.005 for automobile and ak = -0.05 for mass transit), and x is a vector of variables that influence mode choice.

To illustrate how to use the logit model, let's say we have two variables that influence mode choice: travel time (in minutes) and cost (in dollars). We can represent these variables as follows:

x = [travel time, cost]

Suppose further that we have the following values for travel time and cost:

Travel time = 30 minutes

Cost = 5 calculate the probability of using the automobile mode as follows:

P(auto) = exp(ak × x) / [1 + exp(ak × x)]

= exp(-0.005 × [30, 5]) / [1 + exp(-0.005 × [30, 5])]

= 0.5008

The probability of using the mass transit mode can be calculated as follows:

P(mass transit) = 1 / [1 + exp(ak × x)]

= 1 / [1 + exp(-0.05 × [30, 5])]

= 0.287

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The logit model can be used to calculate the division of usage between the automobile mode and mass transit mode. The logit model assumes that the probability of choosing a particular mode of transportation depends on the cost and other characteristics of that mode.

The parameter "ak" represents the cost sensitivity of each mode. In this case, the parameter "ak" for the automobile mode is -0.005, meaning that the probability of choosing the automobile mode decreases by 0.5% for every one unit increase in cost. Similarly, the parameter "ak" for the mass transit mode is -0.05, meaning that the probability of choosing the mass transit mode decreases by 5% for every one unit increase in cost. By applying the logit model, we can determine the optimal division of usage between the automobile and mass transit modes based on the cost and other characteristics of each mode.
To apply the logit model for the division of usage between the automobile mode (ak = -0.005) and a mass transit mode (ak = -0.05), follow these steps:

1. Calculate the utility of each mode:
  Utility_Automobile = exp(ak) = exp(-0.005) ≈ 0.995
  Utility_MassTransit = exp(ak) = exp(-0.05) ≈ 0.951

2. Calculate the sum of utilities:
  Sum_Utilities = Utility_Automobile + Utility_MassTransit ≈ 0.995 + 0.951 ≈ 1.946

3. Calculate the probability of choosing each mode:
  Probability_Automobile = Utility_Automobile / Sum_Utilities ≈ 0.995 / 1.946 ≈ 0.511
  Probability_MassTransit = Utility_MassTransit / Sum_Utilities ≈ 0.951 / 1.946 ≈ 0.489

The division of usage between the automobile mode and the mass transit mode is approximately 51.1% for automobiles and 48.9% for mass transit.

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Answer:

She spent $3.65 on the notebook

Step-by-step explanation:

5.76 + 3.42 = $9.18

12.83 - 9.18 = $3.65

The expected value of the winnings from this game is $3.24.

To find the expected value of the winnings, we multiply each payout by its corresponding probability and then sum up the results. Let's calculate it step by step:

Payout ($) Probability Payout x Probability

2 0.64 1.28

4 0.18 0.72

6 0.12 0.72

8 0.04 0.32

10 0.02 0.20

Now, let's sum up the values in the "Payout x Probability" column:

1.28 + 0.72 + 0.72 + 0.32 + 0.20 = 3.24

Therefore, the expected value of the winnings from this game is $3.24.

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Answer:

826131672772214031100614219154556952747400487828020192584

this is the exact answer. thanks for the points!

Answer: -12.38

Step-by-step explanation:  35.87 − 13.75 − 28.50 − 6.00 = -12.38

Answer:

Step-by-step explanation:

Draw a horizontal line from the top corner of the left wall to the right wall. Now you have a rectangle on the bottom 8’x10’ (80 square feet) and a triangle on the top with a height of 5’ and a base of 8’. 1/2 base times height =20. You need to paint 100 sq feet so you need 2 gallons.

Answer:

86

Step-by-step explanation:

Step-by-step explanation:

Perpendicular : means two lines meet at 90°

1) angle B = 90° - 50°

= 40°

2) Angle D = 90° - 30°

= 70°

The total distance traveled by the particle over the time interval [1, 5] is 12 units.

To find the total distance traveled, we need to consider both the magnitude and direction of the velocity function. Since the velocity function given is in meters per second (m/sec), the total distance traveled will be measured in meters.

To calculate the total distance, we need to consider the intervals where the velocity function changes its sign. In this case, the velocity function is linear and increasing, starting at t = 1 with a velocity of 3 m/sec. From t = 1 to t = 3, the particle moves in the positive direction, covering a distance of (3t - 9) × (t - 1) = 12 units. From t = 3 to t = 5, the particle moves in the negative direction with the same magnitude, covering a distance of (-1) × (3t - 9) × (t - 3) = 12 unit

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Answer: 10, 5, and 2

Step-by-step explanation: they're all divisible numbers and could lead up to some sort of possibility of how much candy is in each barrel

Answer:

-x+8y-27

Step-by-step explanation:

-(x-8y+27)

so the sub symbol is kinda just 1 sense there isnt anything else for there

-1(x-8y+27)

now just like group them or smt

-1(x)+(-1)(-8y)+(-1x27)

so yea then tou multiply all of them and then

-x+8y-27

also

- x - = +

+ x + = +

- x + = -

Answer:

A. 25 minutes

Step-by-step explanation:

3ft/min = 75ft/?min

75ft ÷ 3ft = 25min

it will take the beetle 25 minutes to travel 75 feet.

One sample mean t test is used to to check whether the true average is 59k.

Average:

In statistics, average means a mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

Given,

Here we need to find in what test can you use to check whether the true average is 59k.

While we looking into the given question we have identified the following details,

Number of students = 49

True average = 59k

Sample average = 44k

In this given situation, the perfectly suitable test is one sample t test,

Why we used this because of a statistical hypothesis test used to determine whether an unknown population mean is different from a specific value.

Suppose our student center published data that the average starting salary for college graduates is 59k. You randomly sampled 49 college graduates and calculated the sample average salary is 44k.

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Answer:

CA=6x-24 and BD = 2x+8

Find CE

CA=BD => 6x-24=2x+8 => x=8

CE=1/2(CA) or 1/2(BD) => 1/2(6x-24)=12

CE=12

CA=24

BD=24

Step-by-step explanation:

Answer:

a) the common difference is 20

b) \(x_8=115 , x_{12}=195\)

c) the common difference is -13

d) \(a_{12}=52, a_{15}=13\)

Step-by-step explanation:

a) what is the common difference of the sequence xn

Looking at the table, we get x_3=16, x_4=36 and x_5= 56

Deterring the common difference by subtracting x_4 from x_3 we get

36-16 =20

So, the common difference is 20

b) what is x_8? what is x_12

The formula used is: \(x_n=x_1+(n-1)d\)

We know common difference d= 20, we need to find \(x_1\)

Using \(x_3=16\) we can find \(x_1\)

\(x_n=x_1+(n-1)d\\x_3=x_1+(3-1)d\\15=x_1+2(20)\\15=x_1+40\\x_1=15-40\\x_1=-25\)

So, We have \(x_1 = -25\)

Now finding \(x_8\)

\(x_n=x_1+(n-1)d\\x_8=x_1+(8-1)d\\x_8=-25+7(20)\\x_8=-25+140\\x_8=115\)

So, \(\mathbf{x_8=115}\)

Now finding \(x_{12}\)

\(x_n=x_1+(n-1)d\\x_{12}=x_1+(12-1)d\\x_{12}=-25+11(20)\\x_{12}=-25+220\\x_{12}=195\)

So, \(\mathbf{x_{12}=195}\)

c) what is the common difference of the sequence \(a_m\)

Looking at the table, we get a_7=104, a_8=91 and a_9= 78

Deterring the common difference by subtracting a_7 from a_8 we get

91-104 =-13

So, the common difference is -13

d) what is a_12? what is a_15?

The formula used is: \(a_n=a_1+(n-1)d\)

We know common difference d= -13, we need to find \(a_1\)

Using \(a_7=104\) we can find \(x_1\)

\(a_n=a_1+(n-1)d\\a_7=a_1+(7-1)d\\104=a_1+7(-13)\\104=a_1-91\\a_1=104+91\\a_1=195\)

So, We have \(a_1 = 195\)

Now finding \(a_{12}\) , put n=12

\(a_n=a_1+(n-1)d\\a_{12}=a_1+(12-1)d\\a_{12}=195+11(-13)\\a_{12}=195-143\\a_{12}=52\)

So, \(\mathbf{a_{12}=52}\)

Now finding \(a_{15}\) , put n=15

\(a_n=a_1+(n-1)d\\a_{15}=a_1+(15-1)d\\a_{15}=195+14(-13)\\a_{15}=195-182\\a_{15}=13\)

So, \(\mathbf{a_{15}=13}\)

Answer:

m<5

Step-by-step explanation:

Answer:

m < 5

Step-by-step explanation:

The error term is a random variable with an expected value of zero.2. The error term is normally distributed

The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.

The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.

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Answer:

y = 14

Step-by-step explanation:

(2/3)y + 1 = (1/6)y + 8

multiply everuything by 6 to eliminate the fractions

4y + 6 = y + 48

Subtract y from both sides

3y + 6 = 48

subtract 6 from both sides

3y = 42

Divide both sides by 3

y = 14

In this case, the monthly payment for the car loan would be approximately $1,299.13.

To calculate the monthly payment for a bank loan using Excel, you can use the PMT function.

Here's how to do it:

1. Open Excel and create a new spreadsheet.

2. In cell A1, enter the loan amount: -40000 (negative because it's an outgoing payment).

3. In cell A2, enter the annual interest rate: 9%.

4. In cell A3, enter the loan duration in years: 3.

5. In cell A4, enter the formula to calculate the monthly payment: =PMT(A2/12, A3*12, A1).

6. The result in cell A4 will be the monthly payment.

So, in this case, the monthly payment for the car loan would be approximately $1,299.13.

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(A) The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R'  is 1/2

(B) Coordinates of Δ P"Q"R"

P" (-4,0)

Q"(-3,1)

R"(1,-2)

(C) Triangles PQR and P"Q"R" are not congruent.

Given

ΔPQR is transformed into ΔP'Q'R'

Coordinates of P, Q, R are

P (8,0),

Q(6,2)

R(-2,-4)

Coordinates of P'Q'R' are

P′(4, 0)

Q′(3, 1)

R′(−1, −2)

(A) By Distance formula we can find the distance between P Q and P'Q'

Distance formula = \(D = \sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

Where D = Distance between two points

from distance formula we can write that

PQ = \(\sqrt{(6-8)^{2} +(2-0)^{2} } = \sqrt{4+4} =2 \sqrt{2}\)

Similarly

P'Q'= √2

PQ /P'Q' = 2

hence the scale factor of dilation is 1/2 (Compression)

(B )The Coordinates of Reflection about y axis can be written for a point

(x,y) as (-x,y)

So the Coordinated of Δ P"Q"R" can be written as

P" (-4,0)

Q"(-3,1)

R"(1,-2)

(C) ΔPQR  and ΔP"Q"R" are similar triangles but they are not  congruent because their sides  are not equal in size.

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