I forgot how to do it and I need help

Answer:

1.125

Step-by-step explanation:

Answer:

Step-by-step explanation:

To help put this into simpler terms, we can convert 2.5 to 2 4/8,

Now we just subtract

3 5/8-2 4/8=1 1/8

Let me know if you have any questions

The expression can be rewritten by given term as;  3^15

We need to simplify the expression below:

(3^2 x 3^3)^3

Remember that we can add these exponents, so we get:

(9 x 9)^3 = 81^3

Then we can rewrite this as:

531441

Takin the product between the exponents we will get:

(3^5)^3

Thus, the solution is 3^15

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29 years from now, the father will be 49 years old.

Let's start by setting up the given information:

Currently, the father is 20 years old, and the son is 5 years old.

In 10 years, the father will be twice as old as the son.

The father is currently four times as old as the son.

Determine the age of the father and son in 10 years:

In 10 years, the father's age will be 20 + 10 = 30 years.

In 10 years, the son's age will be 5 + 10 = 15 years.

Write equations based on the given information:

The father's age in 10 years will be twice the son's age in 10 years: 30 = 2 × 15.

The father's current age is four times the son's current age: 20 = 4 × 5.

Solve the equations:

From the second equation, we find that the son's current age is 5 years.

Plugging this value into the first equation, we get: 30 = 2 × (5 + 10).

Simplifying further, we have: 30 = 2 × 15, which is true.

Determine the current age of the son in 29 years:

The son's current age is 5 years.

Adding 29 years to the son's current age, we find that the son will be 5 + 29 = 34 years old.

Determine the current age of the father in 29 years:

The father's current age is 20 years.

Adding 29 years to the father's current age, we find that the father will be 20 + 29 = 49 years old.

Therefore, 29 years from now, the father will be 49 years old.

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Check the picture below, so it reaches the maximum height at the vertex, let's check where that is

\(h(t)=64t-16t^2+0 \\\\[-0.35em] ~\dotfill\\\\ \textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+64}t\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 64}{2(-16)}~~~~ ,~~~~ 0-\cfrac{ (64)^2}{4(-16)}\right)\implies \stackrel{maximum~height}{(2~~,~~\stackrel{\downarrow }{64})}\)

Answer:

The difference between: \((5.9 \times 10^6)\: and \:(3.2 \times 10^4)\) is \(\mathbf{5.868 \times 10^6}\)

Step-by-step explanation:

We need to find the difference between: \((5.9 \times 10^6)\: and \:(3.2 \times 10^4)\)

We know that 10⁶ means there are 5 zeros in the expression after 9. So,

\((5.9 \times 10^6)= 59000000\)

We know that 10⁴ means there are 3 zeros in the expression after 2. So,

\((3.2 \times 10^4)= 320000\)

Now we will subtract them to find the difference

\(=5.9\times 10^6 -(3.2 \times 10^4)\\=5900000-32000\\=5868000\)

We can write 5868000 in scientific notation as: \(5.868 \times 10^6\)

So, the difference between: \((5.9 \times 10^6)\: and \:(3.2 \times 10^4)\) is \(\mathbf{5.868 \times 10^6}\)

The function that could be represented by Rebecca’s graph is f(x) =-2(5/4)^x+3

The properties are given as:

For an exponential function to keep decreasing, one or more the following must be true:

For the left end of an exponential function to approach a constant, the following must be true:

The equation that has the above properties is f(x) =-2(5/4)^x+3

Hence, the function that could be represented by Rebecca’s graph is f(x) =-2(5/4)^x+3

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Answer: c. \(P(I \text{ or }\overline{H})\)

Step-by-step explanation:

Notation to show "not an event E" : \(\overline{E}\)

Given:  I = the event that a player in an infielder.

H = the event that a player is a great hitter.

= the event that a player is not a great hitter.

The correct symbol for the probability that a player is an infielder or is not a great hitter : \(P(I \text{ or }\overline{H})\)

hence, the correct option is  c. \(P(I \text{ or }\overline{H})\)

Given

It is an arithmetic progression

Solution

Substitute the given into the equation

The final answer

Option C

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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Floyd needs 33 matches to make a rectangle with a length of 20 matches.

To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.

From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.

Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.

First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.

Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.

Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.

Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.

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Answer:

Oldest to newest:

10^-35, 10 ^-10, 0

Step-by-step explanation:

Scientific notation

To figure out the power of 10 think "how many places do I move the decimal point?"

When the number is 10 or greater the decimal point moves to the left, and the power of 10 is positive.

When the number is smaller than 1 the decimal point moves to the right, so the power of 10 is negative.

The solution to the given inequality is x<2. Therefore, option C is the correct answer.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is |x|+1<3.

Here, subtract 1 on both the sides of an inequality, we get

x<2

Therefore, option C is the correct answer.

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A) The maximum of the periodic function is 1.

B) The minimum of the periodic function is - 3.

C) The equation of the midline of this periodic function is (1 - 3)/2 = - 1.

D) The amplitude of the periodic function is (1 + 3)/2 = 2.

E) the period of the periodic function is 2π/3.

F) We know frequency = 2π/period = 2π/2π/3 = 2π×(3/2π) = 3.

G) The amplitude of the periodic function is 2sin3((πx - π/6)) - 1.

A period is the amount of time between two waves, whereas a periodic function is one whose values recur at regular intervals or periods.

A function f will be periodic with period x, so if we have

f (a + x) = f (a), For every a > 0.

A) The periodic function's maximum value is 1.

B) The periodic function's minimum value is -3.

C) This periodic function's midline's equation is (1 - 3)/2 = - 1.

D) The periodic function's amplitude is (1 + 3)/2 = 2.

E) The periodic function's period is 2π/3.

F) We already know that frequency = 2π/period

= 2π/2π/3 = 2π×(3/2π) = 3.

G) The periodic function is  2sin3((πx - π/6)) - 1.

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Answer:

150 votes

Step-by-step explanation:

If Lucy got 5/6, we can do the following.

(5/6) * 180 = 150

So, Lucy got 150 votes.

Answer:

150

Step-by-step explanation:

We can first divide 180 by 6:

180/6 = 30

Then multiply that by 5:

5 × 30 = 150

Answer:

Step-by-step explanation:

Let the cos be x, then selling price is:

We have the selling price $487.20

Cost price is $464

Answer: No because 1/2 is equal to 6/12 because 1 x6=6 and 2x6 =12 which makes 1/2 equivalent to 6/12 not 7/12

Answer:

no this is false

Step-by-step explanation:

7 is not half of 12

The triangle is not a right triangle according to Pythagorean's theorem.

In Euclidean geometry, Pythagorean's theorem is given by this mathematical expression:

a² + b² = c²

Where:

a, b, and c represents the length of sides of a right-angled triangle.

In order for the segments connecting the given points to form a right-angled triangle, its side lengths must satisfy the Pythagorean's theorem:

a² + b² = c²

10² + (4√19)² = 14²

100 + 304 = 196

404 = 196 (False).

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The correct answer is option b. When the homoskedasticity assumption is violated, The beta parameter estimates are biased while the rest of the OLS assumptions are correct.

When the homoskedasticity assumption is violated, the ordinary least squares (OLS) estimator is still consistent but no longer efficient. This means that the estimates of the regression coefficients (beta parameters) are still unbiased, but they have higher variances and covariances.

In other words, the OLS estimator is no longer the best linear unbiased estimator (BLUE) and it may be biased when the errors are heteroscedastic. Therefore, option b is correct.

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Answer:

A, B, E

Step-by-step explanation:

Notice that A, B, and E all maintain their common ratios, while C and D do not.

The Dividend per Shareholder in 2017 is $20.

As, Dividend per Shareholder = Profit / Number of Shareholders

Since the number of shareholders is assumed to have remained unchanged during the period 2017-2020, we can calculate the dividend per shareholder in 2017 using the profit value for that year.

Based on the given table, the profit for 2017 is $7,000.

Dividend per Shareholder in 2017

7000/x = 15500 / 44.29

7000/x = 349.966

x = 7000/349.966

x= 20.01

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Answer:Step-by-step explanation:

a. Let x = number of months

Amount charged by Francis Lewis Gym = 150 + 10x

Amount charged by Clintonville Gym = 50 + 35x

Set each expression equal to the other to generate an equation to use in finding the number of months for which the cost of membership will be the same at both months

150 + 10x = 50 + 35x

Collect like terms

150 - 50 = -10x + 35x

100 = 25x

Divide both sides by 25

100/25 = x

4 = x

Answer: 4 months

b. Substitute x = 2 into each if the expression of the amount charged by each gym. The one that gives the lowest amount should be the one Mrs. Open should should join.

Amount charged by Francis Lewis Gym = 150 + 10x

= 150 + 10(2)

= 150 + 20

= $170

Amount charged by Clintonville Gym = 50 + 35x

= 50 + 35(2)

= 50 + 70

= $120

She should join the Clintonville Gym if she plans to join a gym for 2 months.

Answer: Clintonville Gym

Answer:

$6.84

Step-by-step explanation:

This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.

Answer:

47.1cm²

Step-by-step explanation:

diameter=15cm

circumference of circle= d×3.14

circumference=15×3.14

circumference=47.1

The positions will be filled in 56,280 ways

There are 11 qualified candidates applying for 7 positions. The order of the positions does not matter. after choosing a position the number of persons drop so we solve as follows

For the position of president

11 combination 1 = 11

For the position of secretary

10 combination 1 = 10

For the position of treasurer

10 combination 1 = 10

For the position of three directors

8 combination 3 = 56 ways

the total number of ways to fill these positions is

11 x 10 x 9 x 56 = 56,280.

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Using trigonometric ratios we calculate the value of the variables as approximately x and y are 5.1 units and 3.1 units respectively .

Trigonometry is the branch of mathematics that is used for solving a right angled triangle if only one data is given.

Let us consider a triangle ABC right angled at B. BC is the base of the triangle and AC is the hypotenuse , therefore AB is the perpendicular.

The various trigonometric ratios used for solving a triangle are :

sin C = AB ÷ AC

cos C = BC ÷ AC

tan C = AB ÷ BC

Now in the given figure we can see that :

In ΔABC , using the trigonometric ratio of sin

sin ∠A = BC ÷ AB

or , sin 51° × AB = BC

or, BC = 10.102...

or, BC ≈ 10.1

Again in Δ BCD ,  using the trigonometric ratio of cos

cos ∠D = CD ÷ BD

or, CD ≈ 5.1

In ΔABC , using the trigonometric ratio of tan

tan ∠A = BC ÷ AC

or, tan 51° = 10.1 ÷ AC

or, AC = 8.178...

or, AC ≈ 8.2

Therefore the value of y is AC-DC = 8.2 - 5.1 = 3.1 units

The values of x and y are 5.1 units and 3.1 units respectively .

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The area of the ENTIRE rectangle would be: Area = Base * Height

I think you can see that the triangle is 1/2 of the rectangle. so the

    The area of the right triangle would be: Area = 1/2 * base * height

if the area of the triangle is 18 square inches, then h = 2(18)/6 = 6 inches.

If the base, b, is 6 inches, and the area, A, is 18 square inches, then the height, h, of the triangle is 6 inches.

Triangle is a three-sided geometric shape that has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.

The area of a right triangle can be found by using the formula A=1/2bh, where b is the base of the triangle and h is the height. In this example, the base, b, is 6 inches. To find the height, h, we can solve the equation for h: h = 2A/b, where A is the area of the triangle.

Therefore, if we know the area of the triangle, A, we can find the height, h, of the triangle by plugging in the values and solving for h. For example, if the area of the triangle is 18 square inches, then h = 2(18)/6 = 6 inches.

The area of a right triangle can be found by using the formula A=1/2bh and plugging in the known values of b and h. In this example, if the base, b, is 6 inches, and the area, A, is 18 square inches, then the height, h, of the triangle is 6 inches.

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The given figure is 743

The place values of each digit are

7 = hundred

4 = ten

2 = unit

Since 4 is on the ten position, we would round it up by 1 if the digit in the unit position is 5 or greater. Since it is less than 5, 4 remains and the 3 would becomes zero. Thus, the answer is

740

Answer:

B) 11/27 ; c.) 5/27; D.) 17/27; E.) 3/13 ; F) 5/9

Step-by-step explanation:

- - - - - <5hrs - - (5 - 10hrs) - - (>10 hrs) - - Total

Male (M) 25 - - - - -- 25 - - - - - 20 - - - - 70

Female (F) 20 - - - - - - 30 - - - - - 15 - - - - 65

Total - - - 45 - - - - - - 55 - - - - - 35 - - - - 135

Probability = (required outcome / Total possible outcomes)

B) probability that a student studied(5 - 10 hours)

P(5 to 10 hours) = n(5 - 10 hours) / n(total) = 55/135 = 11/27

C) Find the probability that a student is a male and spends less than 5 hours studying

P(male and < 5 hours) = n(male ∩> 5 hours) / n(total) = 25/135 = 5/27

D) Find the probability that a student is a female or spends more than 10 hours studying.

P(female) + P(> 10hours) - P(Female ∩ > 10 hours) = 65/135 + 35/135 - 15/135 = 85/135 = 17/27

E.) Find the probability that a student spends more than 10 hours studying given that the student is a female?

n(Female ∩ > 10 hours) / n(Female)

15/65 = 3/13

F) Find the probability that a student is a male given that he spends less than 5 hours studying

n(male ∩ < 5hrs) / n(< 5 hours) = 25/ 45 = 5/9

Given that Line a is parallel to Line b (Line a ║ Line b), the triangle that is similar to ΔJKH is 1. ΔMKN

Similar triangles are triangles that have congruent corresponding angles, and in which all three corresponding sides are proportional.

The given parameter is Line a is parallel to Line b, which gives: a║b

Two triangles are similar if they satisfy the following conditions:

According to alternate angles theorem, the angles ∠JHK in ΔJKH is congruent to the ∠KNM in triangle ΔMKN

Similarly, the angle ∠HJK in ΔJKH is congruent to the ∠KMN in ΔMKN

Therefore, ΔJKH is similar to ΔMKN by Angle-Angle, AA similarity postulate.

The correct option for the triangle similar to ΔJKH is option 1. ΔMKN

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