Jamal has a rare baseball card in his
collection. It is worth $78, and its value
increases by $1.50 every month that the
player is in the league. How much will
this card be worth in one year if the
player is still playing?

Answer:

The answer is, 5² + 12² = AC²

This is the Pythagorean theorem which states that sum of the squares of the two sides of a right angled triangle is equal to the square of the hypotenuse.

base² + height² = hypotenuse² or in this case, 5² + 12² = AC²

Pls mark as brainliest. I really need for no apparent reason. Cheers

Answer:

The equation that can be used to find y, the height of the first bounce, in inches, when the ball is dropped from a height of x inches is y=x/2. This can be determined by analyzing the data in the table:

-When the ball is dropped from a height of 10 inches, the height of the first bounce is 5 inches (y=5).

-When the ball is dropped from a height of 20 inches, the height of the first bounce is 10 inches (y=10).

-When the ball is dropped from a height of 30 inches, the height of the first bounce is 15 inches (y=15).

In all these cases, the height of the first bounce is half the height of the drop, meaning that the equation y=x/2 is the correct one

Answer:

B) y = x/2

Step-by-step explanation:

When the ball is dropped 10 inches, the ball bounces 5 inches

5 = 10/2

When the ball is dropped 20 inches, the ball bounces 10 inches.

10 = 20/2

When the ball is dropped 30 inches, the ball bounces 15 inches.

15 = 30/2

The first steps of the accounting cycle is post journal data to a ledger.The process then involves entering the transaction ,find and evaluate transactions.

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Answer:

B. separate cash and bank card receipts from on account receipts.

Answer:

The building is 36.62 m long.

Step-by-step explanation:

Answer:

Area = 15.6 cm²

Step-by-step explanation:

Area of a rectangle = long * wide

Then:

Area of a rectangle = 6.5 cms * 2.4 cm

Area of a rectangle = 15.6 cm²

Answer: 21 new children have come.

Data :

We simply have to subtract the number of children playing from the number of children who arrived after a while:

[tex]\bf \: 43 - 22 = 21[/tex]

We check:

[tex]\bf \: 22 + 21 = 43[/tex]

Rpt: 21 new children have come.

Address the root of both issues radius  is  3 √ 6 v π ^2 / 2 π.

r is radius and v is volume.

Write the equation as follows:

4/3 ⋅ ( π r 3 ) = v . 4 /3 ⋅ ( π r 3 ) = v

Divide the two sides of the equation by 1 4 3.

1 / 4 . 3 π ( 4 / 3 ⋅ ( π r 3 ) ) = 1 /4 . 3π v

Simplify the issue from both perspectives.

For more steps, tap.

r 3 = 3 v 4 \sπ

To get rid of the exponent on the left side, take the required root from both sides of the equation.

To get rid of the exponent on the left side, take the required root from both sides of the equation. = 3 √ 3 v /4 π

3 3 v 4 should be made simpler.

For more steps, tap.

r = 3 √ 6 v π ^2 / 2π.

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Answer:

a₄ = 0

Step-by-step explanation:

using the recursive rule [tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 2 and a₁ = 6 , then

a₂ = a₁ - 2 = 6 - 2 = 4

a₃ = a₂ - 2 = 4 - 2 = 2

a₄ = a₃ - 2 = 2 - 2 = 0

The solution to the equation 5x + 9y = 561 and 5x + 6y = 276 is x = -58.8, y = 95

An equation is an expression composed of variables and numbers linked together by mathematical operations.

Given the equation:

5x + 9y = 561    (1)

Let us assume the second equation is:

5x + 6y = 276     (2)

To solve using elimination method, subtract equation 2 from 1:

3y = 285

y = 95

Put y = 95 in equation 1:

5x + 9(95) = 561

5x = -284

x = -58.8

The solution is x = -58.8, y = 95

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Answer:

-------------------------------------

We know that the area of a rectangle with same dimensions is twice the area of a triangle.

The shaded area is half the area of the rectangle:

You already divided it to rectangle and triangle.

Area of rectangle:

The triangle have same base, 12 units. It height is 16 - 10 = 6 units.

Its area is:

Area of the small rectangle in the middle:

The shaded area is the difference of the total area and the small rectangle:

In the given table, y = 6x is the function as 6 = (6)1, 12 = (6)2 and 18 = (6)3. Thus, option D is correct.

A function f from domain X to domain Y is written as f: X Y. A function is described as a map that associates each element in the domain with precisely one element in the codomain. In order to determine the value returned by a function given by an argument x, Euler was the first to use the modern representation f(x) (read "f of x). Assume that the function f converts x to Y and y to Y. Then, we can write it as y = f. (x).

A function transformation in mathematics is a function that converts one function or graph into another, typically related function or graph. For instance, when a quadratic graph is translated, the vertex and axis of symmetry are moved, but the overall shape of the parabola remains the same.

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Answer:

6x

Step-by-step explanation:

Combine like terms

Answer:

Easy, A is 4.1

Step-by-step explanation:

I just finished this too

Answer: The inequality that can be used to determine the maximum number of days Alyssa can afford to rent for while staying within her budget is:

43d + 0.1(275) <= 100

Step-by-step explanation: The rental car company charges $43 per day to rent a car and $0.10 for every mile driven.

Alyssa wants to rent a car for d days, and she plans to drive 275 miles.

The cost of renting the car for d days is 43d, and the cost of driving 275 miles is 0.1(275)

To determine the maximum number of days Alyssa can afford to rent for while staying within her budget, we can write the inequality:

43d + 0.1(275) <= 100

This inequality represents the total cost of renting the car and the cost of driving, which should be less than or equal to $100 (Alyssa's budget)

On solving the inequality we can determine the maximum days Alyssa can afford.

Anderson's mistake in solving the rational expression, is he cancelled out variable and numbers without taking them in common.

A rational expression is the ratio of two polynomials. If f is a rational expression, then f can be written in the form p/q where p and q are polynomials.

Given that, Anderson multiplies two rational expressions with the following results.

The given expression is  [tex]\frac{x^{2} -16}{x^{2} -8x+16} . \frac{x+1}{x^{2} +2x+1} = \frac{-1}{-8x(x^{2} +2)}[/tex]

His error is, he cancelled out the variables and numbers without taking them common, we can not cancel variables and numbers if they are in addition or subtraction with other variables and numbers.

Hence, the correct solution is;

[tex]\frac{x^{2} -16}{x^{2} -8x+16} . \frac{x+1}{x^{2} +2x+1}\\\\= \frac{(x+4)(x-4)}{x^{2} -4x-4x+16} . \frac{x+1}{x^{2} +x+x+1} \\= \frac{(x+4)(x-4)}{(x-4)(x-4)} .\frac{x+1}{(x+1)(x+1)} \\=\frac{x+4}{(x-4)(x+1)}[/tex]

Hence, the correct solution is [tex]=\frac{x+4}{(x-4)(x+1)}[/tex]

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Answer:

Step-by-step explanation:

m∠5 + m∠3 = m∠4 is always true, because in a triangle, the sum of all the angles is always 180°.m∠3 + m∠4 + m∠5 = 180° is always true, because in a triangle, the sum of all the angles is always 180°.m∠5 + m∠6 =180° is not always true, since it depends on the specific diagram and the measure of m∠6.

Answer:

52

Step-by-step explanation:

RTQ is 52 because if PTR is a right angle, right angles equal 90 degrees. So if PTQ is 38 degrees, we subtract 38 from 90 to get RTQ. 90-38 equals 52.

Answer:

52 degrees

Step-by-step explanation:

right angle = 90

90-38=52

So RTQ = 52 degrees

Based on the given figure, we refer to angle a as the length of the side opposite to the angle θ, b as the length of the side adjacent to the angle θ and c as the length of the hypotenuse.

A right triangle is composed by two sides, that form a right angle = angle of 90º between them, plus the hypotenuse, which is the segment connecting these two sides.

The angles are classified as adjacent and opposite as follows:

The problem is given by the image presented at the end of the answer.

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the interest the bond paid off is $7507.8125.

What is simple interest?

A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,

The formula for simple interest is:

S = p*t*r/100

where P is the principal amount of money, R is the interest rate as a decimal, T is the time.

a bond that paid 7.75% simple interest earned $3,875 interest.

S = (3875*7.75*25)/100 = $7507.8125

Hence the interest the bond paid off is $7507.8125.

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The perimeter of polygon ABC = 67.4

The perimeter of polygon PQRS = 78.8

The perimeter of a polygon is calculated by adding the lengths of all sides of the polygon together.

The Two-Tangent Theorem states that if two tangents are drawn to a circle from the same external point, then the tangents are congruent (have the same length).

Perimeter of polygon ABC = AB + BC + AC

AB = 10.5 + (23.2 - 11.2) = 22.5 [based on the Two-Tangent Theorem]

BC = 23.2

AC = 10.5 + 11.2 = 21.7

Perimeter of polygon ABC = 22.5 + 23.2 + 21.7 = 67.4

Perimeter of polygon PQRS = PQ + QR + RS + PS

PQ = 25

PS = 21.8

QR = 13 + 4.6 = 17.6

RS = 4.6  + 9.8 = 14.4

Perimeter of polygon PQRS = 25 + 21.8 + 17.6 + 14.4 = 78.8

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Ratio of concentrate and water in 1:1 would be most reliable for this situation. Thus, A is the correct option.

A ratio is a way to compare two or more comparable quantities by writing the numbers with a colon in between each one. The figures must be whole numbers without any units.

You must practise the techniques described here repeatedly until they are automatic in order to master them. After reading this text and/or watching the related video tutorial, you should be able to:

• calculate the ratio of two or more similar quantities, regardless of whether they are expressed in the same units;

• divide a quantity into a number of parts in given ratios;

• use ratios to scale up or scale down a list of ingredients.

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Correct answer:

A customer wants to make screen wash from concentrate and water.

The diagram shows the amount of concentrate she puts into a container.

ml

1000

800

600

400

200

The customer adds water into the container up to the 1000 ml division. Which Ratio of concentrate and water would be most reliable.

A.  1:1

B. 4:5

C. 2:5

D. 1:5

Answer:

total probability (1,1),(1,2),(1,3)(1,4) (1,5)(1,6)

 (2,1) (2,2) (2,3) (2,4) (2,5)(2,6)

(3,1)(3,2)3,3 3,4) (3,5) (3,6)

(4,1) (4,2)(4,3)(4,4)(4,5)(4,6)

(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)

(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)

3/36=1/12

Step-by-step explanation:

The dimensions of the sides of the triangular flower bed are 27ft, 54ft and 52ft.

A triangle is simply a two-dimensional polygon with 3 sides and 3 interior angles.

Given the data in the question;

Let the shortest side b x.

Since a triangle has three side, the perimeter of the triangle will be;

Perimeter = side 1 + side 2 + side 3

Plug in the values and solve for x

133 = x + 2x + x +25

133 = 4x + 25

133 - 25 = 4x

108 = 4x

4x = 108

x = 108/4

x = 27

Therefore, the dimensions of the flower bed are;

Shortest side = x = 27ft

Second side = 2x = 2( 27) = 54 ft.

Third side = x + 25 = 27 + 25 = 52 ft

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The area of a triangle can be calculated if we know the lengths of all three sides of the triangle or the lengths of two sides and the measure of the included angle. In this case, we are given the lengths of two sides of the triangle (7 yards and 9 yards) and the measure of the included angle (49 degrees).

To find the length of the third side we can use the Law of Cosines. Which states that, in a triangle with sides a, b and c, and an angle C opposite to side c, c² = a² + b² - 2ab * cos(C).

In this case, a = 7, b = 9 and C = 49. So, we can calculate the value of c which is the length of the third side. Once we have this value, we can use Heron's formula, which states that the area of the triangle is equal to √(s(s-a)(s-b)(s-c)), where s is the semiperimeter of the triangle (s = (a+b+c)/2).

By using these formulas we can calculate the area of the triangle which is approximately 25.38 square yards.

I hope this helps :)

Answer:

D. 2r2 + 23r > 645

Step-by-step explanation:

The equation "2r^2 + 23r > 645" represents the situation because it states that the number of spaces in the parking lot, represented by the left-hand side of the equation (2r^2 + 23r), is greater than the maximum number of spaces that the parking lot can hold (645). This is consistent with the information given in the problem, which states that the parking lot has been expanded and can now hold more spaces.

The other equations given (A, B, C) do not accurately represent the situation because they do not take into account the expansion of the parking lot and the addition of new rows and spaces.

Answer:

We can use the formula for conditional probability to find the probability that Mark makes both goals:

P(A and B) = P(A) * P(B | A)

We know that:

P(A) = 0.55 (the probability that Mark makes a goal on his first attempt)

P(B | A) = 0.80 (the probability that Mark makes a goal on his second attempt given that he made the first goal)

So:

P(A and B) = 0.55 * 0.80 = 0.44

Therefore, the probability that Mark makes both goals is 0.44.

Answer:

-----------------------------

The numbers that are at least a distance of 3 away from -7 are the numbers 3 units or more away from -7 either side on the number line :

or

This is same as:

Answer:

b) The bond Sandy purchased has a face value of $2500 and a coupon rate of 7%. The coupon rate is the interest rate paid on the bond, which is typically paid semiannually. To find how much interest Sandy will receive semiannually, we can use the formula:

Interest = Face value x Coupon rate / 2

Interest = $2500 x 7% / 2 = $87.50

So Sandy will receive $87.50 in interest semiannually from the bond.

c) The fund Sandy invested in is expected to grow by 3.5% per year. To find how long it will take for the fund to be worth $10,000, we can use the formula:

Future value = Present value x (1 + Interest rate)^Years

We can solve for Years by dividing both sides of the equation by the present value and taking the natural logarithm of both sides:

Years = ln(Future value/Present value) / ln(1 + Interest rate)

Years = ln(10000/5000) / ln(1.035)

Years = 7.19

Therefore, the fund will take about 7.19 years to be worth $10,000.

d) Sandy's gross annual income is $51,350. She is paid biweekly, and 5% of her paycheck is deducted for her 403(b). Her employer matches her deduction, up to 4%. To find how much is deposited into Sandy's 403(b) each payday, we can use the following formula:

Contribution = (Gross pay x Contribution rate) + (Employer match x Employee contribution)

Gross pay = $51,350/26 (for bi-weekly paycheck) = $1977.50

Contribution = ($1977.50 x 5%) + ($1977.50 x 5% x 4%) = $98.87

So, $98.87 is deposited into Sandy's 403(b) each payday.

Answer:

(a)  See attachment.

(b)  12:23

Step-by-step explanation:

A bearing is the angle (in degrees) measured clockwise from north.

To mark the position of J on the given map:

(See attachment).

Given:

Convert 9600 meters into kilometers by dividing by 1000:

⇒ 9600 m = 9600 ÷ 1000 = 9.6 km

[tex]\boxed{\sf Speed=\dfrac{Distance}{Time}}[/tex]

Therefore:

[tex]\sf Time=\dfrac{Distance}{Speed}[/tex]

Substitute the given distance and speed into the formula to calculate the time it took Kendra to walk from K to L:

[tex]\implies \sf Time=\dfrac{9.6\;km}{4.5\;km/h}=2.133333...\;hours[/tex]

Convert 2.133333.. into a mixed number:

[tex]\implies \sf 2.133333...=2\frac{2}{15}\;hours[/tex]

To find the number of minutes in 2/15ths of an hour, multiply 2/15 by 60:

[tex]\implies \sf \dfrac{2}{15} \times 60=\dfrac{120}{15}=8\;minutes[/tex]

Therefore, it took Kendra 2 hours and 8 minutes to walk from K to L.

If Kendra left at 10:15:

[tex]\implies \sf 10:15 + 2\;hours = 12:15[/tex]

[tex]\implies \sf 12:15 + 8\;minutes=12:23[/tex]

Therefore, Kendra arrived at L at 12:23.

Answer:

Ms. Nahar is 7 years old.

Step-by-step explanation:

21/7 =3

Answer:

She is 7 years old if he is 21

Step-by-step explanation:

21/3