Michael plays on his school's basketball team. Last year, he made 98% of hisbaskets. He attempted 200 shots. How is 98% expressed as a fraction?A.В.с.98/20098/5098/10098/1000DIes

Here's the closest answer for your question:

x, n, and y are all variables used for substitution and algebra.

That's the most I could get.

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The largest angle of the triangle is ∠C = 66°

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

Now , the measure of ∠A = measure of ∠B = x

And , the measure of ∠C = measure of ∠A + 9°

Substituting the values in the equation , we get

x + x + ( x + 9 ) = 180

On simplifying the equation , we get

3x + 9 = 180

Subtracting 9 on both sides of the equation , we get

3x = 171

Divide by 3 on both sides of the equation , we get

x = 57°

So , the measure of ∠A = 57°

Now , the measure of ∠C = 57 + 9 = 66°

Hence , the measure of ∠C of triangle is 66°

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In order to find the nonlinear function we are going to graph each one:

The amount remaining after 50 years is approximately 45.5% of the Initial amount, A₀.

The given exponential function represents the amount A(t) (in grams) of cesium-137 remaining after t years:

A(t) = A₀ * (1/2)^(t/30)

We are asked to find the initial amount A₀ and the amount remaining after 50 years.

1. Initial amount:

The initial amount, A₀, is the amount of cesium-137 present at t = 0 years. To find A₀, we substitute t = 0 into the equation:

A(0) = A₀ * (1/2)^(0/30)

A(0) = A₀ * 1

Since anything raised to the power of zero is 1, we have A(0) = A₀ * 1, which simplifies to A(0) = A₀.

Therefore, the initial amount of the sample is A₀.

2. Amount after 50 years:

To find the amount remaining after 50 years, we substitute t = 50 into the equation:

A(50) = A₀ * (1/2)^(50/30)

Now we can calculate the amount using the given formula:

A(50) = A₀ * (1/2)^(5/3)

To round the answer to the nearest gram, we evaluate the expression and round the result to the nearest gram:

A(50) = A₀ * 0.455

A(50) ≈ A₀ * 0.455

Therefore, the amount remaining after 50 years is approximately 45.5% of the initial amount, A₀.

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Answer:

288

Step-by-step explanation:

I’m not 100% sure yho

Answer: 280

Step-by-step explanation:

The products of each pair of numbers are:

1 x 33 = 33

4 x 30 = 120

8 x 26 = 208

14 x 20 = 280

b. To find the pair of numbers that will produce the largest possible product, we need to look for the pair with the closest product to 340 (the square of 17, which is the average of the two numbers).

The pair of numbers with the closest product to 340 is 14 and 20, whose product is 280. Therefore, the pair of numbers that will produce the largest possible product is 14 and 20, and the product is 280.

The number of tongue depressors = 56

The number of Band-Aids = 128

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

Let x be the number of tongue depressors.

Let y be the number of Band-Aids

Convert cents to dollars

1 cent = $0.01

So, 4 cents = 0.01*4 = $0.04

     8 cents = 0.01* = $0.08

The materials are worth $12.48 .

This means, 0.04x+0.08y=12.48......(1)

There are 184 individual packages in total.

This means,  x+y=184.......(2) => x=184-y.....(3)

Substitute (3) in (1),

0.04(184-y)+0.08y=12.48

7.36-0.04y+0.08y=12.48

=> y= 128

(3) => x=184-128=56

So, the number of tongue depressors = 56

     The number of Band-Aids = 128

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Answer:

$22,360

Step-by-step explanation:

Whenever you have a percentage increase, multiply the original value with the percent in decimal form plus one. For example, $21,500 increased by 4% is the equivalent to 21,500 * 1.04. If it decreased by 8%, you would do 21,500 / 1.08.

Answer:

7/8 chance

Step-by-step explanation:

There are 7 numbers that are either even or greater than 2: 2, 3, 4, 5, 6, 7, and 8. There is a 7/8 chance choosing either of those.

Answer:

7/8

Step-by-step explanation:

there are 6 numbers that are greater than 2: 3,4,5,6,7,8

there are 4 even numbers: 2,4,6,8

The correct radical form of b^1/5 is 5^√b.

Square root and nth roots are represented by the symbol "radical," which. a square root is a component of a radical expression, which is an expression.

A number's or an algebraic expression's simplest radical form is referred to as this. When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.

When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.

Explanation:

Convert to radical form using the formula

a^x/n=n^√a^x

5^√b.

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Answer:

New moon

Step-by-step explanation:

Answer:

c-new moon

Step-by-step explanation:

Answer:

The time was actually showing 15:01 so it takes them 20 minutes i think?

Answer:

I think it's 90,6$

Step-by-step explanation:

(10/100)×906

i have d anqhsisgdigiis

Answer:A: x= x+6 (6+x=6x) B: top side= 6x, meaning that (because i measured it) x on the side is 6x too, meaning all sides add up to 6x. hope this is helpful

Step-by-step explanation:

Answer:

a) 4x + 12 = 54

b) Long side = 16.5cm and Short side = 10.5cm

Step-by-step explanation:

→ Perimeter = All of the sides added together so,

x + 6 + x + 6 + x + x = 54

→ Simplify

4x + 12 = 54

→ Minus 12 from both sides to isolate 4x

4x = 42

→ Divide both sides by 4 to isolate x

x = 10.5

Answer:

19683

Step-by-step explanation:

5 stars please

The area of park in terms of scale drawing is 79200 square yards with scale drawing of a rectangular park is 8 inches wide and 11 inches long.

Area of rectangle=Length * width.

Given:

scale length of rectangular park = 11 inch =

scale width of rectangular park = 8 inch

scale length / actual length of park = scale width/ actual width of park

11/330= 8/ actual width of park

1/30 =  8/ actual width of park

actual width of park = 240

So,

Area = length* width

=330*240

= 79200 square yards

Hence, the area of the actual parking is 79200 square yards.

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It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.

Time = Distance / Speed

Time = 389 miles / 65 mph

Time ≈ 5.98 hours

Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.

To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.

Number of gallons = Distance / Mileage

Number of gallons = 389 miles / 29 miles per gallon

Number of gallons ≈ 13.41 gallons

The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.

Cost = Number of gallons * Cost per gallon

Cost ≈ 13.41 gallons * $3.89/gallon

Cost ≈ $52.18

Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

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Answer:

2nd option

Step-by-step explanation:

Repeatedly divide by 2 until the value 1 is reached

32 ÷ 2 = 16

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

2 ÷ 2 = 1 ← finish here

Then

32 = 2 × 2 × 2 × 2 × 2

To find out if Omar made a mistake, we must solve the equation step by step.

Step 1

Step 2

Simplify the final part in step 1

Since, we have gone through all the steps and gotten exactly the same steps and solution as Omar, we can conclude that Omar did not make a mistake.

Answer:

Slope = -5

Step-by-step explanation:

(x,y) ⇒ (13,11), (14,6), (15,1), (16,-4)

Pick any two points:

(x₁, y₁) and (x₂, y₂) ⇒ (15, 1) and (16, -4)

Use the slope formula:

⇒ y₂ - y₁/x₂ - x₁

⇒ -4 - 1/16 - 15

⇒ -5/1 = -5

Thus, the slope is -5.

Answer: y-intercept is 0,4

Step-by-step explanation:

Answer:

I believe its C

Step-by-step explanation:

The x intercept is (5,0) and the y intercept is (0,4)

Here's a video for more help:

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Please erase the spaces

hope i helped! GL!!

Answer:

A) 1 to 2

Step-by-step explanation:

Total number of people: 623

Successes: 216

Failures: 623 - 216 = 407

Ratio of successes to failure = 216/407

Since 216 is approximately half of 407, the ratio is approximately 1/2.

Answer: A) 1 to 2

The results of operations between vectors are, respectively:

Case A: u + w = <- 3, - 1>

Case B: - 6 · v = <6, 6>

Case C: 3 · v - 6 · w = <- 21, - 15>

Case D: 4 · w + 3 · v - 5 · u = <39, 4>

Case E: |w - v| = √(4² + 3²) = 5

In this problem we must determine the operations between vectors, this can be done by following definitions:

Vector addition

v + u = (x, y) + (x', y') = (x + x', y + y')

Scalar multiplication

α · v = α · (x, y) = (α · x, α · y)

Norm of a vector

|u| = √(x² + y²)

Now we proceed to determine the result of each operation:

Case A:

u + w = <- 6, - 3> + <3, 2>

u + w = <- 3, - 1>

Case B:

- 6 · v = - 6 · <- 1, - 1>

- 6 · v = <6, 6>

Case C:

3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>

3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>

3 · v - 6 · w = <- 21, - 15>

Case D:

4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>

4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>

4 · w + 3 · v - 5 · u = <39, 4>

Case E:

|w - v| = |<3, 2> - <- 1, - 1>|

|w - v| = |<4, 3>|

|w - v| = √(4² + 3²) = 5

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The required reverse Euclidean algorithm is the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

Given that (5*x) mod 91 =32.

To solve the modular equation (5*x) mod 91 =32 using reverse Euclidean algorithm is to find the modular inverse of 5 modulo 91.

Consider  (5*x) mod 91 =32.

5x = 32(mod 91)

Apply the Euclidean algorithm to find GCD of 5 and 91 is

91 = 18 * 5 + 1.

Rewrite it in congruence form,

1 = 91 - 18 *5

On simplifying the equation,

1 = 91 (mod 5)

The modular inverse of 5 modulo 91 is 18.

Multiply equation by 18 on both sides,

90x = 576 (mod91)

To obtain the smallest positive  solution,

91:576 = 6 (mod 91)

Divide both sides by the coefficient of x:

x = 6 * 90^(-1).

Apply the Euclidean algorithm,

91 = 1*90 + 1.

Simplify the equation,

1 + 1 mod (90)

The modular inverse of 90 modulo 91 is 1.

Substitute the modular inverse in the given question gives,

x = 6*1(mod 91)

x= 6 (mod91)

Therefore, the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

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Answer:

The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580

Step-by-step explanation:

Correct Option is,

D) Buy, because the expected rate is greater than the required rate.

Now, Based on the information you've provided,

To calculate the required rate of return, we can use the SML formula as;

Required rate of return = risk-free rate + beta x (expected market return - risk-free rate)

Plugging in the numbers, we get:

Required rate of return = 8% + 0.85 x (16% - 8%)

                                   = 14.6%

Since the expected rate of return for Stock S is,

= dividend yield + growth rate

= (1.1 / 22 + 8%),

= 9.4%

which is higher than the required rate of return of 14.6%,

Here, the stock is undervalued and would be a good buy.

Therefore, the answer is, option D) Buy, because the expected rate is greater than the required rate.

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Answer:

29 MILES PER HOUR

Step-by-step explanation:

So what you are asking for is speed.

SPEED = \(\frac{DISTANCE}{TIME}\)

So first lets allocate the figures

Speed = \(\frac{174}{6}\)

Speed = 29 miles per hour ( 29 mph )

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Which number do you add to 3 to get 0

Given the shown Venn diagram

We will find of B'

B' represents the complement of the set B

So, we will select all the elements that are not in the set of B

So, the answer will be: