The value of a baseball​ player's rookie card began to increase once the player retired. When he retired in 1997 his card was worth ​$4.51 The value has increased by ​$1.02 each year since then. Express the relationship relating the value of the card y in dollars and the number of years x the player has been in retirement with an equation. Is the relationship between x and y​ proportional? What was the value of the card in ​2008?

Answer:

200 ft^3

Step-by-step explanation:

Volume of rectangular prism equation is

\(V=lwh\)

steps in attachment

The rate of each type of the given apples above would be = organic apple $2.50/pound;regular $2.00/pound. That is option C.

For organic apple;

The quantity of apples sold for $7.50 = 3 pounds.

The amount that is sold for an apple would be = ?.

That is ;

$7.50 = 3 pounds

$x. = 1 pound

make X the subject of formula;

X = 7.50/3

Therefore 1 pound = 7.50/3 = $2.50/pound.

For regular apple;

The rate can be detected from the graph;

1 pound of apple = $2

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The formula for uranium oxide is UO2. This means that there are two oxygen ions attached to one uranium atom.

The unit cell consists of one uranium atom surrounded by 8 oxygen ions. This means that the uranium atom is in a cubic structure and the oxygen ions are located in the 8 holes of the cube. This is known as a body-centered cubic (BCC) structure. The general formula for a uranium oxide is UO2, which means that there are two oxygen ions attached to each uranium atom.

For example, if we consider a unit cell of uranium oxide with a cubic crystal structure, the formula would be UO2. This means that there is a uranium atom in the center surrounded by two oxygen atoms at each of the six corners of the cube. These atoms are covalently bonded to the uranium atoms to form the unit cell structure.

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The number of cards were sold for mother's day is 900 cards.

To calculate a total number using a percentage, first identify the percentage and the total number. Then divide the percentage by 100 to convert it to a decimal fraction. Finally, multiply the total number by the decimal fraction to calculate the total number.

For example, if the percentage is 10% and the total number is 200, first divide 10% by 100 to get 0.1. Then multiply 0.1 by 200 to get 20. The total number is 20.

In another example, if the percentage is 25% and the total number is 500, divide 25% by 100 to get 0.25. Then multiply 0.25 by 500 to get 125. The total number is 125.

It is important to remember that percentages are based on a whole, which is usually 100. Therefore, to use percentages to calculate a total number, it is necessary to first convert the percentage to a decimal fraction by dividing it by 100. Then, multiply the total number by the decimal fraction to calculate the total number.

36 cards is 4% of the total cards sold for Mother's Day.

Total number of cards = 36 / 4%

Total number of cards = 36 x 100/4

Total number of cards = 900 cards.

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The required volume of the sphere is given as 33.49 cubic centimeters.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
Radius of sphere = 2 cm
The volume of the sphere = 4/3πr³
                                 = 4/3 × 3.14 × 2³
                                 = 33.49 cm³

Thus, the required volume of the sphere is given as 33.49 cubic centimeters.

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Answer:

$16.75

Step-by-step explanation:

$134 divided by 8 hours is 16.75 per hour

Answer:

true

Step-by-step explanation:

sorry if i am wrong

a. Integration using parts of ∫(x/√(x+7)) is 2x√(x+7) - 4/3 \((x+7)^{(3/2)}\) + C.

b. Integration using substitution of ∫(x/√(x+7)) is (2/3) \((x+7)^{(3/2)}\) - 7√(x+7) + C.

a) Evaluate ∫(x/√(x+7)) dx using integration by parts:

Let u = x, dv = 1/√(x+7) dx, then du/dx = 1 and v = 2√(x+7)

Using integration by parts formula, we have:

∫(x/√(x+7)) dx = uv - ∫v du/dx dx

= 2x√(x+7) - 2∫√(x+7) dx

Let t = x + 7, then dt/dx = 1 and dx = dt, so the integral becomes:

∫(x/√(x+7)) dx = 2x√(x+7) - 4/3 \((x+7)^{(3/2)}\) + C

where C is the constant of integration.

b) Evaluate ∫(x/√(x+7)) dx using substitution:

Let u = √(x+7), then du/dx = 1/(2√(x+7)) and dx = 2u du

Substituting, we get:

∫(x/√(x+7)) dx = ∫(\(u^2\) - 7) du

= 1/3 \((x+7)^{(3/2)}\) - 7√(x+7) + C

where C is the constant of integration.

c) To verify that the answers in parts (a) and (b) are consistent, we can substitute the expression obtained in part (b) back into the integral in part (a) and simplify:

∫(x/√(x+7)) dx = 2x√(x+7) - 2∫√(x+7) dx

= 2x√(x+7) - 4/3 \((x+7)^{(3/2)}\) + C

Now, substituting the expression obtained in part (b):

= 2x(√(x+7)) - 4/3 \((x+7)^{(3/2)}\) + C

= (2/3) \((x+7)^{(3/2)}\) - 7√(x+7) + C

Thus, the expressions obtained in part (a) and part (b) are consistent and differ only by a constant term.

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Answer:

two

Step-by-step explanation:

Answer:

-7/9

Step-by-step explanation:

the slope of a line between two points is 'rise over run', or the vertical distance between the points divided by the horizontal distance between them.

Finding the change in either direction is done by simply subracting our starting value from our ending value. It does not matter which point you start at, but lets choose (-6,-7) as our starting point, and (-24,7) as our end point.

The 'rise' of this line is 7 - (-7), which equals 14

The 'run' would then be -24 - (-6), which equals -18

Thus the slope is 14/(-18). Reducing this fraction gives us an answer of -7/9.

The actual nominal rate of return is approximately 6.68%. None of the provided answer options exactly match this value, but the closest option is 6.77%.

To calculate the actual nominal rate of return, we use the Fisher equation:

Nominal Rate = (1 + Real Rate) * (1 + Inflation Rate) - 1

Given:

Real Rate = 3.87% (0.0387 as a decimal)

Inflation Rate = 2.75% (0.0275 as a decimal)

Now, let's plug in the values:

Nominal Rate = (1 + 0.0387) * (1 + 0.0275) - 1

Nominal Rate = 1.0387 * 1.0275 - 1

Nominal Rate = 1.0668 - 1

Nominal Rate = 0.0668 or 6.68% (rounded to two decimal places)

So, the actual nominal rate of return is approximately 6.68%. None of the provided answer options exactly match this value, but the closest option is 6.77%.

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the cost of the bike before tax

514.1/106%=$485

Answer:

The value of x is 9

Step-by-step explanation:

The measure of the exterior angle at a vertex of a triangle equals the sum of the measures of the two opposite interior angles to this vertex

In the given figure

∵ ∠DFG is an exterior angle at vertex F

∵ The angles of measures (5x - 7) and 89° are the opposite interior

    angles to the vertex F

∴ m∠DFG = (5x - 7) + 89

∵ m∠DFG = 14x + 1

→ Substitute it in the equation above

∴ 14x + 1 = 5x - 7 + 89

→ Add the like terms in the right side

∵ 14x + 1 = 5x + 82

→ Subtract 1 from both sides

∵ 14x + 1 - 1 = 5x + 82 - 1

∴ 14x = 5x + 81

→ Subtract 5x from both sides

∴ 14x - 5x = 5x - 5x + 81

∴ 9x = 81

→ Divide both sides by 9

∴ x = 9

∴ The value of x is 9

Answer:

The missing value is 41.

Step-by-step explanation:

If r= 3c+5 you plug in the 12, which is c, and the equation becomes r= 3x12+5. 3x12= 36, and 36+5= 41.

Answer:

41

Step-by-step explanation:

because 1=3 so 12=41

hope that helped!

Answer:

no image sorry

Step-by-step explanation:

Answer:

Each red block has an area of     1/18     square unit.

2/3 * 5/6  = 2/3 * 5/6 = 10/18

Step-by-step explanation:

The area of each red rectangle block is 1/12 sq units.

A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees. Hence, it is also called an equiangular quadrilateral. Since, the opposite sides are equal and parallel, in rectangle, therefore, it can also be termed as a parallelogram.

Given that, there is rectangular box, in which there are 24 blocks,

The area of the rectangular box is 2 sq units,

We need to find the area of each block,

We can say,

24 blocks = 2 sq units

1 block = 2/24 = 1/12 units

Since, all the blocks inside the box are identical, therefore, each red block will also have area = 1/12 units

Hence, the area of each red rectangle block is 1/12 sq units.

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Since the directrix is y=-4, use the equation of a parabola that opens up or down.

where vertex is at (h,k) and focus is at (h,k+p)

The vertex is halfway between the directrix and focus. Find the y-coordinate of the vertex using the following

Find the distance from the focus to the vertex.

The distance from the focus to the vertex and from the vertex to the directrix is |p|. Subtract the y-coordinate of the vertex from the y-coordinate of the focus to find p.

Substitute in the known values for the variables into the equation

Simplify

in y=ax^2+bx+c form:

The congruent postulate in which two corresponding angles and non-Included side of the two triangles are congruent is AAS. AAS is an abbreviation of angle angle side postulate.

Triangles are said to be congruent if they are of  identical sides and angles. The three sides of first triangle are exactly equal in measure to the three sides of second triangle. The three angles of first are each the same angle as the second triangle.

Triangles are said to be congruent when all corresponding sides and interior angles are congruent. The triangles will have same shape and size, but the first triangle may be a mirror image of the other triangle.  

The definition of Angle Angle Side Theorem also states that-

If two angles and the non-included side of first triangle are congruent to the corresponding parts of second triangle, then the  triangles are said to be congruent.

Other theorems which triangles follow are Side Angle Side, Side Side Angle, Angle Side Side, Side Side Side, Angle Angle Angle etc.

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The equation r(t) = at, bt - 4.9t^2 represents the trajectory of the object in terms of time. The object shot into the air follows a path described by the equation r(t) = at, bt - 4.9t^2, where t is in seconds and a and b are unknown physical constants.

The equation r(t) = at, bt - 4.9t^2 represents the trajectory of the object in terms of time. The term at represents the horizontal displacement, while bt - 4.9t^2 represents the vertical displacement of the object at time t. The constant a determines the initial horizontal velocity of the object, and b represents the initial vertical velocity.

By analyzing the equation, we can make several observations. The term -4.9t^2 represents the effect of gravity on the vertical displacement, indicating that the object is subject to gravitational acceleration. The coefficients a and b, as physical constants, can be determined by experimental measurements or by using specific information about the object and the conditions of the shot.

However, the given equation provides a mathematical model to describe the path followed by the object shot into the air.

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Let's assume that Mariam gets Rs. x. Then, according to the given information:

Arham gets 2/3 of what Mariam gets, i.e., Arham gets (2/3)x.

Mariam gets 1/4 of what Sarim gets, i.e., Mariam gets (1/4)(500 - x) = (125 - x/4).

Now, we can write the total amount as the sum of individual amounts received by each person:

Arham's share + Mariam's share + Sarim's share = Rs. 500

Substituting the expressions we obtained above for each person's share, we get:

(2/3)x + (125 - x/4) + Sarim's share = 500

Simplifying this equation, we get:

(5/12)x + Sarim's share = 375

We don't have any information about Sarim's share, but we do know that the three shares add up to Rs. 500. Therefore, we can write:

Arham's share + Mariam's share + Sarim's share = Rs. 500

(2/3)x + (125 - x/4) + Sarim's share = 500

Sarim's share = 500 - (2/3)x - (125 - x/4)

Sarim's share = 375 - (5/12)x

Now, we can substitute this expression for Sarim's share back into the equation we obtained earlier:

(5/12)x + Sarim's share = 375

(5/12)x + (375 - (5/12)x) = 375

Solving for x, we get:

x = 100

Therefore, Mariam's share is Rs. 100, Arham's share is (2/3)x = (2/3)(100) = Rs. 66.67 (rounded to two decimal places), and Sarim's share is 500 - 100 - 66.67 = Rs. 333.33 (rounded to two decimal places).

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Answer: n greater than or equal to 96 or n is greater than or less than 318

Step-by-step explanation:

Brainliest plz

Answer:

52%

Step-by-step explanation:

Since the amount of people included in the supposed survey was not included, you would have to multiply the amount of people by .52 (Example; 100×0.52=52 people)

By adding the percentages of red and blue, you get the total of both people who favor those colours. 32+20=52

Answer:nirvana

Step-by-step explanation:

Answer:4/8 are u in pre?

Step-by-step explanation:

To calculate P(A and B), you need to use the formula for the probability of two events occurring together.

The formula is:

P(A and B) = P(A) x P(B | A) Where P(A) is the probability of event A occurring, and P(B | A) is the probability of event B occurring given that event A has already occurred.

1. Determine the probability of event A occurring. This will be your P(A) value.

2. Determine the probability of event B occurring given that event A has already occurred. This will be your P(B | A) value.

3. Multiply P(A) and P(B | A) together to get P(A and B). For example, let's say that event A is rolling a 6 on a six-sided die, and event B is flipping a coin and getting heads. The probability of event A occurring is 1/6, and the probability of event B occurring given that event A has already occurred is 1/2.

So:

P(A and B) = P(A) x P(B | A) P(A and B) = (1/6) x (1/2) P(A and B) = 1/12

So the probability of both events occurring together is 1/12.

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Answer:

224 lbs

Step-by-step explanation:

V = xyz = 10(14)(2) = 280 ft³

280(0.8) = 224

The actual error when the first derivative is approximated using the given formula with h = 0.5 is approximately 0.00237.

To approximate the actual error, we can use the formula:

Actual Error = f'(x) - Approximation

Given that f'(x) = 12h and the approximation is given by 3f(x) - 4f(x-h) + f(x-2h), we can substitute the values:

Approximation = 3f(x) - 4f(x-h) + f(x-2h) = 3(x - 3ln(x)) - 4(x-h - 3ln(x-h)) + (x-2h - 3ln(x-2h))

We need to evaluate this expression at x = 3 and h = 0.5:

Approximation = 3(3 - 3ln(3)) - 4(3-0.5 - 3ln(3-0.5)) + (3-2(0.5) - 3ln(3-2(0.5)))

Simplifying the expression:

Approximation = 3(3 - 3ln(3)) - 4(2.5 - 3ln(2.5)) + (2 - 3ln(2))

Approximation ≈ 0.00475

Now we can calculate the actual error:

Actual Error = f'(x) - Approximation = 12(0.5) - 0.00475

Actual Error ≈ 0.00237

Therefore, the actual error when the first derivative is approximated using the given formula with h = 0.5 is approximately 0.00237.

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-12 will be the value of the variable x.

The given expression is:

-9 = (-6 +x)/2

Simplifying the expression,

-6+x = -18

x = -18 +6

x = -12

Therefore, the value of the variable x will be -12.

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