a - 15 = -33
13 points

Answer:10 wrong

Step-by-step explanation:

I am smart

Hope it helps :)

The maximum quantity that can be reached in a quadratic model can be determined by finding the vertex of the quadratic function. In this case, with coefficients of 117t and -22.9906t^2, the maximum quantity can be calculated.

To find the maximum quantity in a quadratic model, we need to locate the vertex of the quadratic function. The vertex is the point where the quadratic curve reaches its maximum or minimum value. In a quadratic equation of the form ax^2 + bx + c, the x-coordinate of the vertex can be found using the formula x = -b / (2a). In this case, the coefficients of the quadratic model are 117t and -22.9906t^2. Since there is no constant term, we can disregard it in this calculation. By substituting the values into the formula, we find that the x-coordinate of the vertex is -117 / (2 * -22.9906) = 2.5415.

To determine the maximum quantity, we need to substitute this value back into the quadratic equation. However, since the problem statement does not provide the complete quadratic equation or the context for the variable t, we cannot calculate the exact maximum quantity. Therefore, the specific value of the maximum quantity cannot be determined without additional information.

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Answer:

-2 and 3 along the horizontal line

Step-by-step explanation:

There are two axes, plural for axis; the two main lines. The one that runs vertically is the y axis and the one that runs horizontally is the x axis. Now when you see the parabola which is the curve, it meets at three points. The points are -2 , 6, and 3. the ones we are focusing on are the -2 and 3 since they are the numbers/points on the x axis

Answer:

Divide by a common term between the two. A common term between the two  is 10. So, the factored expression is 10(2K+5).

:)

Answer: the statement that is not true is "The line is perpendicular to the y-axis"

I hope this helps

This statement is false because the line 4y = 12 has an undefined slope.

The slope of a line is the difference between the y-coordinate and the x-coordinate. The net change in the y-coordinate is represented by y, and the net change in the x-coordinate is represented by x. Thus, the change in y-coordinate with respect to the change in x-coordinate is given by:

m = y/x = y/x

Where "m" is the line's slope.

A straight line's slope can also be represented by the formula tan ∅ = y/x.

As a result, tan ∅ is the slope of a straight line.

A line's slope, in general, indicates its steepness and direction. The angle of slope of a line between two points (x1,y1) and (x2,y2) can be easily calculated by subtracting the coordinates of the points. The slope is typically denoted by the letter "m."

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The standard error of the mean for a sample of size 8 and population mean 436 is equals to the 36.42.

The standard error of the mean, or usually say standard error, shows how different the population mean from a sample mean. We have a population with population mean, \(\mu\) = 436

Standard deviations for population, \( \sigma\) = 103

Sample size, n = 8

We have to determine the value of standard error of the mean. SEM is calculated simply as dividing the standard deviation by the square root of the sample size, n. Mathematically,

\(SE = \frac{ \sigma}{\sqrt n}\)

Substitues all known values in above formula, \(= \frac{ 103}{\sqrt 8}\)

= 36.42

Hence, required standard error value is 36.42.

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The given expression \(x=V_0_t+at\) is true for:

In the kinematical equation, the acceleration is constant.

So, The option (c) is correct.

Kinematical equations are the set of equations used for the study of objects undergoing translational motion. Using kinematic equations the missing variable can be obtained in the problem. For rotational motion the kinematical equations change according to the rotational dynamics.

The given expression is:

\(x=V_0_t+at\)

This expression matches with the first kinematical equation only when a is the acceleration, t is time, \(V_0_t\) is the initial velocity, and x is the final velocity.

Option (A):

When \(V_0\) is constant, and the acceleration becomes zero. So, the initial and final velocities are the same. Thus, this option is incorrect.

Option (B):

If t is constant, again the velocity remains the same causing some unrealistic expression. So, this option is incorrect.

Option (C):

In the kinematical equation, the acceleration is constant. So, this option is correct.

Option (D):

x is taken as the final velocity. When the final velocity of the object is constant, it does not affect the present state of motion. So, this option is correct.

Option (E):

Let v represent the initial velocity of the object. If it is constant the object has no acceleration. So the entire expression changes. Thus, this is incorrect.

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Complete question is:

Which one of the following statements must be true if the expression

is to be used?

\(x=V_0_t+at\)

A) Both \(V_0\) and t are constant.

B) t is constant.

C) a is constant.

D) x is constant.

E) v is constant.

Step-by-step explanation:

OPQ originally forms a sector, the formula for sector is

\( \frac{x}{360} \pi {r}^{2} \)

where x is the degrees of rotation between the two radii.

We know three sides length and is trying to find an angle between the radii so we can use law of cosines which states that

\(16 = \sqrt{10 {}^{2} + 10 {}^{2} - 2(100) \times \cos(o) } \)

This isn't the standard formula, it's for this problem

\(16 = \sqrt{200 - 200 \times \cos(o) } \)

\(16 = \sqrt{200 - 200 \cos(o) } \)

\(256 = 200 - 200 \cos(o) \)

\(56 = - 200 \cos(o) \)

\( - \frac{7}{25} = \cos(o) \)

\( \cos {}^{ - 1} ( - \frac{7}{25} ) = \cos {}^{ - 1} ( \cos(o) ) \)

\(106.26 = o\)

So we found our angle of rotation, which is 106.26

Now, we do the sector formula.

\( \frac{106.26}{360} (100)\pi\)

\( \frac{10626}{360} \pi\)

is the area of sector.

Now let find the area of triangle, we can use Heron formula,

The area of a triangle is

\( \sqrt{s(s - a)(s - b)(s - c)} \)

where s is the semi-perimeter.

To find s, add all the side lengths up, 10,10,16 and divide it by 2.

Which is

\( \frac{36}{2} = 18\)

\( \sqrt{18(18 - 10)(18 - 10)(18 - 16)} \)

\( \sqrt{18(8)(8)(2)} \)

\( \sqrt{(36)(64)} \)

\(6 \times 8 = 48\)

So our area of the triangle is 48. Now, to find the shaded area subtract the main area,( the sector of the circle) by the area of the triangle so we get

\( \frac{10626}{360} - 48\)

Which is an approximate or

44.73

Answer:

A. Frozen yogurt

Step-by-step explanation:

The frozen yogurt costs less than the frozen custard, even though you get the same amount (3 ounces)

No matter how much money Marco has, he would be able to buy more of the frozen yogurt because it has a cheaper unit rate.

So, the answer is A, frozen yogurt

Answer:

x^2 + 16x - 15 = 0.

Step-by-step explanation:

x^2 + 16x – 11 = 4    Subtract 4 from both sides:

x^2 + 16x - 15 = 0  is one equation with  the same roots.

Also any equation which is a multiple of the above will have the same roots. For example if we multiply by 3:

3x^2 + 48x - 45 = 0.

Answer:

1

Step-by-step explanation:

-4 minus -8 is the same as 8 - 4 which is 4 and 4 divided by 4 is 1.

Answer:

8

Step-by-step explanation:

The probability of getting three aces is  0.0015

The probability of getting exactly one ace is 0.2887.

To solve these probability problems, we can use combinations and the concept of equally likely outcomes.

(a) Probability of getting three aces:

We have four aces in the deck. To choose 3 aces out of 4, we can use combinations: C(4, 3) = 4.

The remaining 2 cards in the hand must be chosen from the remaining 48 non-ace cards. So, we have C(48, 2) = 1,128.

The total number of possible 5-card hands is C(52, 5) = 2,598,960.

Therefore, the probability of getting three aces is:

P(three aces) = (4 * 1,128) / 2,598,960 ≈ 0.0015

(b) Probability of getting exactly one ace:

Similar to part (a), we have C(4, 1) = 4 ways to choose one ace.

The remaining 4 cards in the hand must be chosen from the remaining 48 non-ace cards. So, we have C(48, 4) = 194,580.

The probability of getting exactly one ace is:

P(exactly one ace) = (4 * 194,580) / 2,598,960 ≈ 0.2887

(c) Probability of getting no aces:

There are no aces in the hand. We need to choose all 5 cards from the 48 non-ace cards:

P(no aces) = C(48, 5) / C(52, 5) ≈ 0.6718

(d) Probability of getting at least one ace:

This is the complement of getting no aces. So, we have:

P(at least one ace) = 1 - P(no aces) ≈ 1 - 0.6718 ≈ 0.3282

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V= (4d^2 - 48d + 96) / (-36(d - 1)^2) will be the expression for the volume of the following prism when the dimensions of the prism are given.

The quantity of space a three-dimensional figure occupies is measured by its volume. It is determined by multiplying the object's length, breadth, and height, and is generally symbolized by the letter "V". For example, the volume of a cube with sides of length 3 units is 3 x 3 x 3 = 27 units.

The formula 4/3r3 may be used to determine a sphere's volume, where r is the sphere's radius. The area of the base times the height of the cylinder, or r2h, yields the volume of a cylinder.

It's important to remember that the volume of a three-dimensions figure varies depending on its shape and size.

How to solve?

V = (d - 2/3d - 9) * (4/d - 4) * (2d - 6/2d - 4)

V = (d - 2/3d - 9) * (4/d - 4) * (4d - 24/4d - 16)

V = ((d - 2)/(3d - 9)) * (4/d - 4) * (4d - 24/4d - 16)

V = ((d - 2)/(3d - 9)) * (4/(d - 4)) * (4d - 24/(4d - 16))

V = ((d - 2)/(3d - 9)) * (4/(d - 4)) * (4d - 24/(4d - 16))

= ((d - 2) * 4 * (4d - 24)) / ((3d - 9) * (d - 4) * (4d - 16))

= (4d^2 - 48d + 96) / (12d^2 - 48d^2 + 144d - 36)

= (4d^2 - 48d + 96) / (-36d^2 + 144d - 36)

= (4d^2 - 48d + 96) / (-36(d^2 - 4d + 1))

= (4d^2 - 48d + 96) / (-36(d - 1)(d - 1))

V= (4d^2 - 48d + 96) / (-36(d - 1)^2)

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(a) The conditional probability mass function of X₁ given X₂ = 1 is P(X₁ = 1 | X₂ = 1) = 7/18.

(b) The conditional probability mass function of X₁ given X₂ = 0 is P(X₁ = 1 | X₂ = 0) = 2/18 = 1/9.

(c) Assuming balls are selected with replacement, the conditional probability mass function of X₁ given X₂ = 1 is P(X₁ = 1 | X₂ = 1) = 12/19.

(d) Assuming balls are selected with replacement, the conditional probability mass function of X₁ given X₂ = 0 is P(X₁ = 1 | X₂ = 0) = 7/19.

(a) When the balls are selected without replacement and X₂ is known to be 1 (black), there are 12 black balls left out of 18 remaining balls. Therefore, the probability of X₁ being 1 (black) is 12/18 = 7/18.

(b) When the balls are selected without replacement and X₂ is known to be 0 (white), there are still 7 black balls left out of 18 remaining balls. Therefore, the probability of X₁ being 1 (black) is 7/18.

(c) When the balls are selected with replacement, the probability of selecting a black ball remains constant at 12/19, regardless of the outcome of the second draw. Therefore, P(X₁ = 1 | X₂ = 1) = 12/19.

(d) When the balls are selected with replacement, the probability of selecting a black ball remains constant at 12/19, regardless of the outcome of the second draw. Therefore, P(X₁ = 1 | X₂ = 0) = 12/19.

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Answer:

1021

Step-by-step explanation:

1+1=2 and it needs to add up to 4 so you add in another 2 in the only place left for it to go which is in the tens place because the first and last number have to be the same and 0 has to go in the hundreds place.

Answer:

I'm not sure but I think the answer is >

Step-by-step explanation:

It looks rig but if I were u I wouldn't trust me

i just did the quiz, It's > !

The area of the shaded region is 110.25 square units. To find the area of the shaded region enclosed by the functions y = 2x, y = 4, and y = 25, we need to determine the limits of integration.

First, let's find the x-values where the curves intersect.

Setting y = 2x and y = 4 equal to each other, we have:

2x = 4

x = 2

Setting y = 2x and y = 25 equal to each other, we have:

2x = 25

x = 12.5

Therefore, the limits of integration are x = 2 to x = 12.5.

The area enclosed by the curves can be calculated by integrating the difference between the curves with respect to x. The integral setup is as follows:

\(Area =\int\limits^{12.5}_2 {y_{upper} - y_{lower}} \, dx\)

In this case, y_upper represents the upper curve, which is y = 25, and y_lower represents the lower curve, which is y = 2x.

Therefore, the integral setup becomes:

Area = ∫[from 2 to 12.5] (25 - 2x) dx

To evaluate this integral, we can use the fundamental theorem of calculus.

Area = [25x - x²] evaluated from 2 to 12.5

Area = [25(12.5) - (12.5)²] - [25(2) - (2)²]

Area = [312.5 - 156.25] - [50 - 4]

Area = 156.25 - 46

Area = 110.25

Therefore, the area of the shaded region is 110.25 square units.

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Marlene will have to pay a Total of $131.89 if there is a 9% government tax on bills.

Marlene had a meal at KFC which cost her $110, and there was an additional 10% service charge. We have to determine the total cost of her meal, including the 9% government tax on bills. To find out the total cost of the meal, we'll use the following steps:

Step 1: Calculate the service charge service Charge = 10% of $110Service Charge = (10/100) × $110Service Charge = $11

Step 2: Calculate the subtotal Subtotal = Cost of meal + Service charge Subtotal = $110 + $11Subtotal = $121

Step 3: Calculate the government tax Government Tax = 9% of Subtotal Government Tax = (9/100) × $121Government Tax = $10.89

Step 4: Calculate the total cost Total Cost = Subtotal + Government Tax Total Cost = $121 + $10.89Total Cost = $131.89

Therefore, Marlene will have to pay a total of $131.89 if there is a 9% government tax on bills.

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Answer: All options are correct (assuming that option A is in the form of Y=5). Typing error in the question. But I will clear your concepts on that.

Step-by-step explanation:

Equation of the form (y = c) are the horizontal lines that are passing through the y-intercept 'c' or cutting/passing through the  y-axis at 'c'.

All equations in the option are of the form y = c

option A , (y=5)

option B , (y=1)

option C , (y=1)

option D, (y=5)

All are parallel to X-axis.

For an equation to be parallel to y-axis should have the form x = a (Vertical line passing through x-intercept 'a')

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Answer:

X ≥ 60

Step-by-step explanation:

Is your inequality sentence.

The span of {u, v} represents a plane in three-dimensional space. w is not in the span of {u, v}. the span of {u, v, w} is the entire three-dimensional space.

(a) The span of {u, v} represents a plane in three-dimensional space. Geometrically, this plane can be visualized as a flat surface extending infinitely in all directions. It includes all possible vectors that can be obtained by scaling and adding u and v. Any vector lying on this plane can be expressed as a linear combination of u and v.

(b) To determine if w is in the span of {u, v}, we need to check if w can be expressed as a linear combination of u and v. We can write w as follows:

w = a*u + b*v

Solving the system of equations formed by equating corresponding components, we have:

-2 = 3a - 2b

2 = -a + 2b

6 = -2a - 6b

Solving this system, we find that there are no values of a and b that satisfy all three equations simultaneously. Therefore, w is not in the span of {u, v}.

(c) The span of {u, v, w} is the entire three-dimensional space. To justify this, we consider the matrix A whose columns are u, v, and w:

A = [u v w] = [1 3 -2; -1 1 2; -2 -6 6]

We can row-reduce matrix A to its echelon form:

[1 3 -2; -1 1 2; -2 -6 6] -> [1 3 -2; 0 4 0; 0 0 0]

The echelon form shows that the columns of A are linearly independent, and they span the entire three-dimensional space. Therefore, any vector in three-dimensional space can be expressed as a linear combination of u, v, and w, indicating that the span of {u, v, w} is the entire three-dimensional space.

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Answer:

Good for fred but what is your question??

Step-by-step explanation:

The cost per pound of the dog food is approximately $1.87.

A 15-pound bag of dog food costs $27.99. To find the cost per pound, we divide the total cost by the weight. The cost per pound is approximately $1.87.

To find the cost per pound, we divide the total cost by the weight. In this case, the total cost is $27.99 for a 15-pound bag of dog food. So, we divide $27.99 by 15 pounds:

Cost per pound = $27.99 / 15 pounds ≈ $1.87

Therefore, the cost per pound of the dog food is approximately $1.87.

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The equation of the circle is given as follows:

x² + y² = 2704.

The equation of a circle of center \((x_0, y_0)\) and radius r is given by:

\((x - x_0)^2 + (y - y_0)^2 = r^2\)

The center is the position of the transmitter site, hence it is at the origin.

As stated in the problem, the radius of the circle is given as follows:

r = 52 miles.

Hence the equation of the circle is given as follows:

x² + y² = 52²

x² + y² = 2704.

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Answer:

I'd have to say C

Step-by-step explanation:

The correct option is option B i.e., the total amount George would make if he sells all his cards will be equal to $400 approx.

George estimates that he can make $4.75 per card if he sells baseball cards online. He has total 83 cards.

We have to find out the closest amount George would make if he sells all his cards.

What is the unitary method?

The unitary method is a method in which we find the value of a unit and then the value of the required number of units.

As per the question ;

George estimates that he can make $4.75 per card.

The total no. of cards George have = 83 cards

So ,

The total amount , George would make if he sells all his cards can be calculated by multiplying the total no. of cards to price of each card.

i.e.,

Total amount George will made ;

= 83 × $ 4.75

= $ 394.25

≈ $ 400

Thus , the correct option is option B i.e., the total amount George would make if he sells all his cards will be equal to $400 approx.

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To solve this problem, we need to use the concepts of probabilities, distribution, and events.

(a) The probability of all children being of the same sex is the sum of the probabilities of having all boys and having all girls. Each child has a 50% chance of being a boy or a girl, so the probability of having all boys or all girls is (0.5)^5 = 0.03125. Therefore, the probability of all children being of the same sex is 0.03125 + 0.03125 = 0.0625.

(b) The probability of the first 3 children being boys and the last 2 girls is the product of the probabilities of each child being a boy or a girl, in the specified order. The probability of having a boy on the first child is 0.5, the probability of having a boy on the second child is also 0.5, and the probability of having a boy on the third child is also 0.5. The probability of having a girl on the fourth child is 0.5, and the probability of having a girl on the fifth child is also 0.5. Therefore, the probability of the specified event is (0.5)^5 = 0.03125.

(c) The probability of exactly 3 children being boys can be calculated using the binomial distribution. There are 10 possible ways to choose which 3 out of 5 children are boys, and each of these ways has a probability of (0.5)^3 * (1-0.5)^2 = 0.125. Therefore, the probability of exactly 3 children being boys is 10*0.125 = 1.25.

(d) The probability of the first 2 children being girls and the other 3 being boys is the product of the probabilities of each child being a boy or a girl, in the specified order. The probability of having a girl on the first child is 0.5, the probability of having a girl on the second child is also 0.5. The probability of having a boy on the third child is 0.5, and the probability of having a boy on the fourth child is also 0.5. The probability of having a boy on the fifth child is also 0.5. Therefore, the probability of the specified event is (0.5)^5 = 0.03125.

(e) The probability of at least 1 girl can be calculated by subtracting the probability of having all boys from 1. The probability of having all boys is 0.03125, so the probability of having at least 1 girl is 1-0.03125 = 0.96875. In summary, the probabilities of the specified events are: (a) 0.0625 (b) 0.03125 (c) 1.25 (d) 0.03125 (e) 0.96875

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Answer:

The 13th Amendment to the United States Constitution provides that "Neither slavery nor involuntary servitude, except as a punishment for crime whereof the party shall have been duly convicted, shall exist within the United States, or any place subject to their jurisdiction."

Step-by-step explanation:

The numerator of the z-score test statistic measures the difference between the sample mean and the population mean (or the hypothesized population mean, depending on the context) in terms of the standard error of the mean.

It can use z- test only if the population standard deviation is known (or given) and the sample is large (more than 30 units)

If the mean and standard deviation is known, then the z-score is calculated using the formula.

z = (x - μ) / σ

where x is data;

μ is the mean and σ is the standard deviation.

Thus, the actual distance between a sample mean x and a population mean µ is measured by the numerator of z- score test statistic.

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