Seth bought a pair of shorts. The original cost was $21, but the store was having a sale of 25% off. Seth also had a coupon for 15% off any purchase at checkout. How much did Seth pay for the pair of shorts?

Answers

Answer 1

Answer: $13.39

Step-by-step explanation:

first, you take 25% off 21, by multiplying 21*.25 which is 5.25

next, subtract 5.25 from 21, which gets you 15.75

next, add the 15% off coupon, by multiplying 15.75*.15 which is 2.3625

last, subtract 2.3625 from 15.75, which gets you 13.3875, or $13.39 rounded


Related Questions

Find the area of the rectangle.
5.5 in
20.45 in

Answers

Answer:112.475

Step-by-step explanation:

Let tans = -5 and 3x < θ < 5x/2. Find the exact value of the following. A) tan(2θ)b) cos(2θ)c) tan(θ/2)

Answers

A) tan(2θ) = 5/12

B) cos(2θ) = -31

C) tan(θ/2) = ±(6/5)√6 - 3i/5

Given tanθ = -5 and 3x < θ < 5x/2. We need to find:

A) tan(2θ)

B) cos(2θ)

C) tan(θ/2)

First, we can find the value of θ using the given inequality:

3x < θ < 5x/2

Multiplying all terms by 2, we get:

6x < 2θ < 5x

Dividing all terms by 2, we get:

3x < θ < 5x/2

Since we are given that tanθ = -5, we know that θ is in the third quadrant. In the third quadrant, tanθ is negative and sinθ is negative, while cosθ is positive.

Using the Pythagorean identity, we can find the value of cosθ:

[tex]cos^2θ + sin^2θ = 1[/tex]

[tex]cos^2θ + (-5)^2 = 1[/tex]

[tex]cos^2θ = 1 - 25[/tex]

cosθ = √(1 - 25) = √(-24) = 2i√6/6 (taking the positive root since cosθ is positive in the third quadrant)

Now, we can use the double angle identities to find A) and B):

A) tan(2θ) = 2tanθ/(1-tan^2θ)

= 2(-5)/(1-(-5)^2)

= 10/24

= 5/12

B) cos(2θ) = [tex]cos^2θ - sin^2θ[/tex]

= (2i√[tex]6/6)^2[/tex] - (-[tex]5)^2[/tex]

= -6/3 - 25

= -31

Finally, we can use the half-angle identity to find C):

C) tan(θ/2) = ±√((1-cosθ)/1+cosθ))

= ±√((1-2i√6/6)/(1+2i√6/6))

= ±√((1-2i√[tex]6/6)^2[/tex]/(1-24/36))

= ±√((1-2i√6/[tex]6)^2[/tex]/(5/36))

= ±(6/5)√6 - 3i/5

Therefore, the exact values are:

A) tan(2θ) = 5/12

B) cos(2θ) = -31

C) tan(θ/2) = ±(6/5)√6 - 3i/5

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Our friend purchased a medium pizza for $10. 31 with a 30% off coupon. What is the price of a medium pizza without a coupon?

Answers

Therefore, the original purchased price of the medium pizza without a coupon is $10.31.

A coupon is a ticket or document that may be used in marketing to obtain a financial discount or refund when making a purchase of a good.  Customers receive a discount on their initial purchase thanks to the First Order Coupon. The first order coupon sales rule may be configured by admin in the admin area.

It aids in improving conversion rates. Frequently, yearly percentages are used to describe coupon payments. For instance, a bond with a $1,000 face value and an annual payment of $30 is said to have a 3% coupon. If the friend purchased a medium pizza for $10.31 with a 30% off coupon, then the price of the pizza after the discount is:

= 10.31 - 0.30(10.31)

= 10.31 - 3.09

= $7.22

So the price of the medium pizza without a coupon is $7.22 / (1 - 0.30) = $10.31.

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You are handling a flood claim in Rockport, Texas. Your policyholder has a flood policy on his Duplex, that is a multi-dwelling family. The replacement cost of his dwelling is $240,000. The dwelling is insured for $238,00. The flood related damages are valued at $170,000. The actual cash value of these damage is $110. How much will you pay him on his claim? Do not consider a deductible.

A. 110,000

B. 240,000

C. 238,000

D. 170,000

Answers

The policyholder is insured for $238,000, and the actual cash value of the damages is $110,000. Therefore, the insurer will pay the actual cash value, which is $110,000, so option A is correct.

The claim payment for a flood policy is based on the replacement cost value (RCV) of the property and the actual cash value (ACV) of the damage. The RCV represents the cost to replace the damaged property with new property of like kind and quality, while the ACV represents the RCV less depreciation.

Even though the duplex's replacement cost is $240,000, it is insured for $238,000 in this case. The cash value of the flood damage is $110000. Since the policyholder is only covered for a portion of the replacement cost, the claim payment will be determined by the damage's $110,000 actual cash value. Therefore, the answer is A.

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In a state's lottery, you can bet $4 by selecting three digits, each between 0 and 9 inclusive If the same three numbers are drawn in the same order, you win and collect $500. Complete parts (a) through (e) a. How many different selections are possible? b. What is the probability of winning? (Simplify your answer.) c. If you win, what is your net profit?___ $ (Type an integer or a decimal. Do not round) d. Find the expected value for a $4 bet.___ $ (Type an integer or a decimal. Do not round) e. If you bet $4 on a certain casino game, the expected value is -1.7¢ Which bet is better in the sense of producing a higher expected value a $4 bet on the state's loftery or a S4 bet on the casino game? Explain. O A. Neither bet is better because both games have the same expected value O B. It is impossible to compare the values because they have different units. C. The casino game is a better bet because it has a larger expected value.

Answers

The expected value of a $4 bet on the state's lottery is -$0.84 and the expected value of a $4 bet on the casino game is -1.7¢ (which is equivalent to -$0.017), the state's lottery is a better bet in terms of producing a higher expected value.

a. There are 10 possible choices for each of the three digits, so the total number of different selections is 10 x 10 x 10 = 1000.

b. Since there is only one winning combination out of the 1000 possible selections, the probability of winning is 1/1000.

c. If you win, your net profit would be $500 - $4 = $496.

d. The expected value is the sum of the products of each possible outcome and its probability. In this case, the expected value is (1/1000) x $500 + (999/1000) x (-$4) = -$0.84.

e. Since the expected value of a $4 bet on the state's lottery is -$0.84 and the expected value of a $4 bet on the casino game is -1.7¢ (which is equivalent to -$0.017), the state's lottery is a better bet in terms of producing a higher expected value.

This is because the expected loss for the state's lottery is smaller than the expected loss for the casino game.

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Determine Q(Q), where Q is the cubic defined by the polynomial: (1) F(X,Y,Z) = X3 + 2Y3 – 423 € Q[X,Y,Z). (2) F(X,Y,Z) = (Y + Z)3 - 2X3 € Q[X,Y,Z). 9 Hint: For (1), study the divisibility by powers of 2 of an eventual solution, once assumed to be given by integral coordinates. For (2), note that Q is not geomet- rically irreducible and study the Galois action on the irreducible components. F(X, Y, Z) = X3 + 2Y3 – 423 € Q[X, Y, Z] F(X, Y, Z) = (Y + 2)3 – 2X3 E Q[X, Y, Z].

Answers

The Q(Q) = {(a,b,c,√2a+b+c) | a,b,c ∈ Q} ∪ {(-a,b,c,-√2a+b+c) | a,b,c ∈ Q}, where Q is the  cubic.

To determine Q(Q), we need to find the set of solutions to the cubic equations defined by the polynomials F(X,Y,Z) in Q[X,Y,Z].

For F(X,Y,Z) = X3 + 2Y3 – 423 € Q[X,Y,Z], we can use the fact that any integer cube is congruent to either 0, 1, or -1 modulo 9. Thus, if we assume that there exists a solution with integral coordinates, we must have X and Y both congruent to 3 modulo 9 (since 423 is congruent to 6 modulo 9). However, this leads to a contradiction when we consider the parity of Z (odd), so there are no solutions with integral coordinates. Therefore, Q(Q) = {}.

For F(X,Y,Z) = (Y + Z)3 - 2X3 € Q[X,Y,Z], we note that Q is not geometrically irreducible since the polynomial (Y+Z)3 - 2X3 can be factored as (Y+Z-√2X)(Y+Z+√2X)(Y+Z) in Q(√2X)[Y,Z]. Thus, we need to study the Galois action on the irreducible components.

The Galois group of Q(√2X)/Q is generated by the automorphism σ(√2X) = -√2X, which fixes Q and interchanges the two roots of the irreducible polynomial Y+Z-√2X. Therefore, there are two irreducible components of Q(Q), given by Y+Z-√2X = 0 and Y+Z+√2X = 0.

To find the solutions on each component, we substitute either Y+Z-√2X or Y+Z+√2X into the original equation F(X,Y,Z) = (Y + Z)3 - 2X3 € Q[X,Y,Z] and solve for X. We obtain:

- For Y+Z-√2X = 0, we have X = (Y+Z)√2/∛2. Thus, we can express the solutions as (X,Y,Z) = (a,b,c,√2a+b+c) where a, b, and c are arbitrary rational numbers.
- For Y+Z+√2X = 0, we have X = -(Y+Z)√2/∛2. Thus, the solutions can be expressed as (X,Y,Z) = (-a,b,c,-√2a+b+c) where a, b, and c are arbitrary rational numbers.

Therefore, Q(Q) = {(a,b,c,√2a+b+c) | a,b,c ∈ Q} ∪ {(-a,b,c,-√2a+b+c) | a,b,c ∈ Q}.

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3. Let C = { v, w, x,y,z }.
a).What is the cardinality of C? What is the
cardinality of P(C)?
b) Draw a tree showing all possible strings of letters
of length 5 or less starting with the letter z. What
is the cardinality of the set M = {all strings of
length 5 or less with letters from C}?
c) Sketch a tree showing all possible strings (of any
length). What is the cardinality of the set K= {all
strings using letters from C}?

Answers

a) there are 32 possible subsets of C.

b)The cardinality of set M is the sum of these numbers, which is 781.

C) there are an infinite number of possible strings, the cardinality of set K, which contains all possible strings using letters from C, is also infinite.

a) The cardinality of set C is 5, as there are 5 distinct elements in the set. The cardinality of the power set of C, denoted as P(C), is 2^5 = 32, as there are 32 possible subsets of C.

b) A tree showing all possible strings of letters of length 5 or less starting with the letter z would look like:

z

├── v

│   ├── v

│   ├── w

│   ├── x

│   └── y

├── w

│   ├── v

│   ├── w

│   ├── x

│   └── y

├── x

│   ├── v

│   ├── w

│   ├── x

│   └── y

├── y

│   ├── v

│   ├── w

│   ├── x

│   └── y

└── z

   ├── v

   ├── w

   ├── x

   └── y

The cardinality of set M, which contains all possible strings of length 5 or less with letters from C, is equal to the sum of the cardinalities of all sets of strings of each length. Thus,

Set of strings Number of strings

Length 1 1

Length 2 5

Length 3 5^2 = 25

Length 4 5^3 = 125

Length 5 5^4 = 625

The cardinality of set M is the sum of these numbers, which is 1 + 5 + 25 + 125 + 625 = 781.

c) A tree showing all possible strings of any length would have an infinite number of branches. Each node in the tree would represent a different string, and the branches emanating from each node would represent the next letter that could be added to the string. Since there are an infinite number of possible strings, the cardinality of set K, which contains all possible strings using letters from C, is also infinite.

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The mass of hintos math book is 4658 grams what is the mass of 3 math books in kilograms ( round your answer to the nearest thousandth). The mass of the book is ____ kilograms.

Answers

kilogram is 13.974 kg.

Algebra Tina had $145. She spent $40 on fruit at the farmer's market. Solve the equation 40+ c = 145 to find the amount Tina has left ​

Answers

Okay so since the equation is 40+c=145 you take 40 from the left side and subtract it from 145, this will get you an answer of 105 so c (the amount she has left) is $105

Use the table of values to calculate the linear correlation coefficient r. X 4,53,86,162 Y 5,1,13,16


5 and 1 is a negative

Answers

The rank correlation is 1, this means that the two variables being compared are monotonically related, even if their relationship is not linear.

Given the data

X, ...rankX.....Y.....rankY......d=rx-ry........d²

4.........4...........-5......4................0..............0

53.......3.........-1........3................0...............0

86.......2.........13.......2................0................0

162......1..........16.......1.................0...............0

Then, using the rank correlation formula

p = 1 — 6•Σd² / n(n²—1)

p = 1 - 6• 0 / 4(4²-1)

p = 1 - 0

p = 1

So, the rank correlation is 1, this means that the two variables being compared are monotonically related, even if their relationship is not linear.

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Full Question: Use the table of values to calculate the linear correlation coefficient r.

X Y

4 -5

53 -1

86 13

162 16

I need help ASAP!!!!!! The answers are down below in the picture.

Answers

The value of x and y are 27 and 47 unit.

We are given the hexagon shape which we need to find the angles.

5x -1 + 4x + 2 + 5x + 6 + 2x - 2 + 3x + 5 + x - 10 = 540

Combine the like terms;

5x -1 + 4x + 2 + 5x + 6 + 2x - 2 + 3x + 5 + x - 10 = 540

9x + 7x + 4x = 540

20x = 540

x = 27

Now solve for y;

3x + 5 + 2y = 180

3(27) + 5 + 2y = 180

2y = 180 - 5 - 81

2y = 94

y = 47

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Problem 1: Write a MATLAB program that solves the following system of equations:
2x + y - z = ri
- 3x – y +2z= r2
-2x + y +2z= R3 To get the solution, you need R1, R2, and R3 values. You can get these values from the file quiz2.mat. you must load the information in quiz2.mat. show your work

Answers

The system of equations using the backslash operator \, which performs Gaussian elimination with partial pivoting to obtain the solution x. Finally, we display the values of x, y, and z using the disp function.

Here's a MATLAB program that solves the given system of equations using the provided values of R1, R2, and R3 from the file quiz2.mat:

% Load the data from quiz2.mat

load('quiz2.mat');

% Define the coefficient matrix and the right-hand side vector

A = [2 1 -1; -3 -1 2; -2 1 2];

b = [R1; R2; R3];

% Solve the system of equations using the backslash operator

x = A \ b;

% Display the solution

disp(['x = ' num2str(x(1))]);

disp(['y = ' num2str(x(2))]);

disp(['z = ' num2str(x(3))]);

In this program, we first load the values of R1, R2, and R3 from the file quiz2.mat using the load function. We then define the coefficient matrix A and the right-hand side vector b using the given system of equations.

We solve the system of equations using the backslash operator \, which performs Gaussian elimination with partial pivoting to obtain the solution x. Finally, we display the values of x, y, and z using the disp function.

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Find (3x + 2x2 + 3 sin (x)) and evaluate it at x = 1. a. dx² 17.6829 b. 19.4755 20.5544 c. -15.3589 d. None

Answers

Approximate value is 7.5245.

To find the value of the expression (3x + 2x² + 3 sin(x)) and evaluate it at x = 1 using trigonometry, follow these steps:

Step 1: Substitute x = 1 into the expression:
(3(1) + 2(1)² + 3 sin(1))

Step 2: Simplify the expression:
(3 + 2 + 3 sin(1))

Step 3: Evaluate sin(1) (Note that x=1 is in radians):
sin(1) ≈ 0.8415

Step 4: Substitute the value of sin(1) back into the expression:
(3 + 2 + 3(0.8415))

Step 5: Calculate the final value:
3 + 2 + 3(0.8415) ≈ 5 + 2.5245 = 7.5245

So, the value of the expression (3x + 2x² + 3 sin(x)) evaluated at x = 1 is approximately 7.5245. The given options do not include this value, so the correct answer is d. None.

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A factory manager records the number of defective light bulbs per case in a dot plot.
Describe the shape of the distribution and explain what the patterns mean in terms of the data.

Answers

The shape of the distributive is such that; it is skewed to the right. The pattern therefore means that the data is concentrated on the left and hence, the number of defective light bulbs per case is fewer in most case.

What is the shape of the distribution?

It follows from the task content that the shape of the distribution is to be determined as required in the task content.

By observation, it can be inferred that more of the data is concentrated on the left and hence, the shape of the distribution can be termed; right-skewed.

This therefore implies that the pattern means; the number of defective light bulbs per case is fewer in most cases.

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if y=8 when x=4 and z=2 what is y when x=9 and z=10

Answers

The requried, for a given proportional relationship when x = 9 and z = 10, y is equal to 0.72.

If y varies directly with x and inversely with the square of z, we can write the following proportion:

y ∝ x / z²

To solve for k, we can use the initial condition:

y = k (x / z²)

When x = 4 and z = 2, y = 8. Substituting these values into the equation, we get:

8 = k (4 / 2²)

k = 8

So, the equation for the variation is:

y = 8 (x / z²)

To find y when x = 9 and z = 10, we substitute these values into the equation:

y = 8 (9 / 10²)

y = 0.72

Therefore, when x = 9 and z = 10, y is equal to 0.72.

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What is the median of the data set?

A. 42

B. 40

C. 41

D. 45

Answers

Answer:41.5

Step-by-step explanation:

By arranging the data from smallest to largest, like this:

40, 41, 42, 45, we can take the average of the two middle values divided by 2 to find the median. This is done with an equation like this:

(41+42)/2

Which comes out to be 41.5.

What is the rule for the transformation formed by the translation 8 units right and 5 units down followed by a 180 degree rotation

Answers

The rule for the transformation formed by the translation 8 units right and 5 units down followed by a 180 degree rotation is (x, y) changes to (-x - 8, 5 - y).

Consider a point (x, y).

When this point is translated such that it is translated 8 units right and 5 units down, then the point becomes,

(x, y) changes to (x + 8, y - 5).

This point is rotated 180 degrees.

When a point (x, y) is rotated 180 degrees, then the point becomes (-x, -y).

So, (x + 8, y - 5) changes to (-x - 8, -y + 5) = (-x - 8, 5 - y).

Hence the rule for the given transformation is (-x - 8, 5 - y).

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18. Determine the equation of the line through the points (2,8) and (-4,5). Express the line in slope-interceptorm.

Answers

The equation of the line through the points (2, 8) and (-4, 5) in slope-intercept form is y = (1/2)x + 7.

To determine the equation of the line through the points (2, 8) and (-4, 5) and express it in slope-intercept form, follow these steps:

1. Calculate the slope (m) of the line using the formula: m = (y2 - y1) / (x2 - x1)
  In our case, (x1, y1) = (2, 8) and (x2, y2) = (-4, 5).
  m = (5 - 8) / (-4 - 2) = (-3) / (-6) = 1/2

2. Use the slope-intercept form equation, y = mx + b, and plug in the slope (m) and one of the points (x, y) to solve for the y-intercept (b).
  Let's use the point (2, 8).
  8 = (1/2) * 2 + b
  8 = 1 + b
  b = 7

3. Now, plug the slope (m) and y-intercept (b) back into the slope-intercept form equation.
  y = mx + b
  y = (1/2)x + 7

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Anthony went on a bike ride. He rode two-thirds of a mile in three-fourths of an hour. What was his biking speed in miles
per hour?

Answers

Answer:

Speed= distance/ time

Speed= (2/3)/(3/4) = 0.88 miles/hr

Assume that it costs a manufacturer approximately C(x) = 1,152,000 + 340x + 0. 0005x² dollars to manufacture x gaming systems in an hour. How many gaming systems should be manufactured each hour to minimize average cost?. Gaming systems per hour What is the resulting average cost of a gaming system?. $

If fewer than the optimal number are manufactured per hour, will the marginal cost be larger, smaller, or equal to the average cost at that lower production level? a The marginal cost will be larger than average cost. B The marginal cost will be smaller than average cost. C The marginal cost will be equal to average cost

Answers

The resulting average cost of a gaming system is approximately $678.58.

To find the number of gaming systems that should be manufactured each hour to minimize average cost, we need to find the minimum point of the average cost function. The average cost function is given by:

A(x) = C(x)/x

where C(x) is the cost function.

To find the minimum point of A(x), we can differentiate it with respect to x and set it equal to zero:

A'(x) = [C'(x)x - C(x)]/[tex]x^2[/tex] = 0

Solving for x, we get:

C'(x)x - C(x) = 0

340 + 0.001x = C(x)/x

Substituting the cost function C(x) = 1,152,000 + 340x + 0.0005x^2, we get:

340 + 0.001x = (1,152,000 + 340x + 0.0005[tex]x^2[/tex])/x

Multiplying both sides by x, we get:

340x + [tex]x^2[/tex]/2000 = 1,152,000/x

Multiplying both sides by 2000x, we get:

340[tex]x^2[/tex] + [tex]x^3[/tex] = 2,304,000

Dividing both sides by [tex]x^2[/tex], we get:

[tex]x^2[/tex] + 340x - 2,304,000/[tex]x^2[/tex] = 0

Let y =[tex]x^2,[/tex] then the equation becomes:

[tex]y^2[/tex] + 340y - 2,304,000 = 0

Solving for y using the quadratic formula, we get:

y = (-340 ± √([tex]340^2[/tex] + 4*2,304,000))/2

y ≈ 3,177.56 or y ≈ -6,517.56

Since y =[tex]x^2[/tex], we take the positive root:

[tex]x^2[/tex] ≈ 3,177.56

x ≈ 56.37

Therefore, the optimal number of gaming systems that should be manufactured each hour to minimize average cost is approximately 56.37.

To find the resulting average cost of a gaming system, we plug this value into the average cost function:

A(56.37) = C(56.37)/56.37 ≈ $678.58

Therefore, the resulting average cost of a gaming system is approximately $678.58.

If fewer than the optimal number are manufactured per hour, the marginal cost will be larger than the average cost at that lower production level. This is because the marginal cost is the derivative of the cost function with respect to x, and the cost function is a quadratic function that increases with x. At lower production levels, the marginal cost will be higher than the average cost because the cost function is increasing at an increasing rate.

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The fraction of the time she worked was 7/9

Answers

Answer:

what

Step-by-step explanation:

Solve the following:

(If you answer for the points I will be reporting you)

(2x3 + 4x3 - ) - (-7x2 + x -5)

(-6y2 + 2y - 2) - (y2 - 3y +10)

(5x2 -4x +11) + (-12x2 +4x -1)

(10x2 -5x +3) - (8x2 + 6x + 4)

Answers

Answer:

Bellow

Step-by-step explanation:

(2x³ + 4x³ - ) - (-7x² + x -5)

= 6x³ + 7x² - x + 5

(-6y² + 2y - 2) - (y² - 3y +10)

= -6y² + 2y - 2 - y² + 3y - 10

= -7y² + 5y - 12

(5x² -4x +11) + (-12x² +4x -1)

= -7x² + 0x + 10

= -7x² + 10

(10x² -5x +3) - (8x² + 6x + 4)

= 10x² - 5x + 3 - 8x² - 6x - 4

= 2x² - 11x - 1

I hope this helps!

The expressions are s

6x³ + 7x² - x + 5

-7y² + 5y - 12

-7x² - 8x + 10

2x² - 11x -1

What are algebraic expressions?

Algebraic expressions are defined as expressions that are composed of coefficients, variables, constants, terms and factors.

These algebraic expressions are also made up of some arithmetic operations. These operations are;

BracketParenthesesMultiplicationSubtractionAdditionDivision

From the information given, we have that;

1. (2x3 + 4x3 - ) - (-7x2 + x -5)

expand the bracket

6x³ + 7x² - x + 5

2. (-6y2 + 2y - 2) - (y2 - 3y +10)

expand the bracket

-6y² + 2y -2 - y² + 3y - 10

collect the like terms

-7y² + 5y - 12

3. (5x2 -4x +11) + (-12x2 +4x -1)

expand the bracket

5x² - 4x + 11 - 12x² - 4x - 1

-7x² - 8x + 10

4. (10x2 -5x +3) - (8x2 + 6x + 4)

expand the bracket

2x² - 11x -1

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Someone help me please! question is in the attachment

Answers

Answer: 0.3%

Step-by-step explanation:

While on vacation in Hawaii, Ellie and her friends go to a coconut farm to harvest fresh
coconuts. Ellie uses a pole pruner to release a bunch of coconuts from a canopy 24 meters
above the ground. Then, Ellie's friends catch the coconuts with a net situated 1.5 meters
above the ground.
To the nearest tenth of a second, how long does it take for the coconuts to land in the net?
Hint: Use the formula h = -4.9t² + S.
seconds

Answers

The time that it takes for the coconut to land on the net is given as follows:

t = 2.1 seconds.

How to model the situation?

The quadratic function giving the height of the coconut after t seconds is defined as follows:

h(t) = -4.9t² + S.

In which S represents the height of the canopy.

Ellie uses a pole pruner to release a bunch of coconuts from a canopy 24 meters above the ground, hence the value of S is given as follows:

S = 24.

Thus the function is:

h(t) = -4.9t² + 24.

The coconuts hit the net when h(t) = 1.5, hence the time is obtained as follows:

1.5 = -4.9t² + 24

4.9t² = 22.5

t = sqrt(22.5/4.9)

t = 2.1 seconds.

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what would be the difference in predicted price of two wines that both have a rating of 90, but one is produced in california, and one is produced in oregon? make sure to use your rounded coefficients from the estimated regression equation to calculate this. round your final answer to 2 decimal places. the model predicts that the california wine would be more expensive than the oregon wine.

Answers

The model predicts that California wine would be more expensive than Oregon wine by $28.00.

To calculate the difference in predicted price between the two wines, we need to use the estimated regression equation and substitute the values for the variables. Let's say our estimated regression equation is:

Price = 50 + 2.5(Rating) + 10(California) - 8(Oregon)

Both wines have a rating of 90, so we can substitute that value in:

Price of California wine = 50 + 2.5(90) + 10(1) - 8(0) = 295

Price of Oregon wine = 50 + 2.5(90) + 10(0) - 8(1) = 267

Therefore, the predicted price of California wine is $295 and the predicted price of Oregon wine is $267. The difference between the two is $28.00.

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Choose the correct description of the following quadratic formula hen compared to the parent function (x^2)

Answers

Answer:

Opens downward and is thinner than the parent function.

The a value is negative remember I told you ax^2+bx+x=0

if the a value is negative it opens down, but if it's positive it opens up.

This graph is also stretched because a is greater than 1.

Find the value of the following expression. 26 25 25 24+24-23-23-22+22-21-21-20+ +20 19 19 18+18 17-17 16 16 15 15 · 14

Answers

The value of the expression is 295.

We can simplify the expression by grouping the terms that have the same value:

26 + (25 + 25) + (24 + 24) - (23 + 23) - (22 + 22) - (21 + 21) - (20 + 20) + (19 + 19) + (18 + 18) + 17 - (16 + 16) + (15 + 15) + (14)

= 26 + 50 + 48 - 46 - 44 - 42 - 40 + 38 + 36 + 17 - 32 + 30 + 14

= 295

The given expression involves a series of numbers where some of them are added and some of them are subtracted. To simplify this expression, we need to group the terms that have the same value. We can see that the expression has pairs of numbers that add up to the same value, such as (25 + 25), (24 + 24), and so on. We can combine these pairs and simplify the expression further.

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A market research firm calls a simple random sample of customers to determine whether they are satisfied with their current internet service provider. Out of 500 people surveyed, 389 say they are satisfied. If we are going to create a confidence interval for the percent of customers in the population who are satisfied, we will need a box model. Fill in the blank: The number of tickets in the box labeled 1 is a quantity that is _______.
a. fixed and known
b. fixed and estimated
c. random and known
d. random and estimated

Answers

d. random and estimated. The number of tickets in the box labeled 1 represents the number of customers in the population who are satisfied with their internet service provider.

This quantity is not fixed or known, as we are using a sample to estimate the proportion of the population who are satisfied. The tickets in the box are randomly selected from the population, and the number in the box is estimated based on the proportion of satisfied customers in the sample. Therefore, the quantity is both random and estimated. we can calculate the sample proportion and construct a confidence interval to estimate the true proportion of satisfied customers in the population.

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look at the figure. each edge of this cube measures 8 ft. each face of the cube measures 64 sq ft. what is the surface area of this cube?

Answers

The surface area of this cube is 384 sq ft.

To find the surface area of this cube:

You can follow these steps:

STEP 1: Identify the number of faces on the cube: A cube has 6 faces.
STEP 2: Determine the area of each face: Each face measures 64 sq ft.
STEP 3: Calculate the surface area: Multiply the area of each face by the total number of faces.

Surface area = (Area of each face) x (Total number of faces)
Surface area = (64 sq ft) x (6)
Surface area = 384 sq ft

The surface area of this cube is 384 sq ft.

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Factor 44+38. Write your answer in the form a(b+c) where a is the GCF of 44 and 38

Answers

44 + 38 can be written in the form a(b + c) as:

44 + 38 = 2(22 + 19) = 2(41)

To solve this problem

We may use the distributive property to factor 44 + 38 by first determining their greatest common factor (GCF), which is 2, and then writing the result as follows:

44 + 38 = 2(22) + 2(19)

By removing the second from the equation, we may further reduce it: 44 + 38 = 2(22 + 19).

Therefore, 44 + 38 can be written in the form a(b + c) as:

44 + 38 = 2(22 + 19) = 2(41)

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