Solve the following proportion.
x/-8 = 12/6
A -12 B -14
C -16 D -18

Answer:

18/20

Step-by-step explanation:There are 20 total cards and 2 are brown so answer would be 18/20.

To solve the equation 9k - 7 = 21 - 3k, we can begin by simplifying the equation through combining like terms. The solution to the equation 9k - 7 = 21 - 3k is k = 7/3.

Adding 3k to both sides, we get:

9k - 7 + 3k = 21 - 3k + 3k

Simplifying further:

12k - 7 = 21

Next, we can isolate the variable k by adding 7 to both sides:

12k - 7 + 7 = 21 + 7

Simplifying:

12k = 28

Finally, to solve for k, we divide both sides of the equation by 12:

(12k)/12 = 28/12

Simplifying:

k = 7/3

Therefore, the solution to the equation 9k - 7 = 21 - 3k is k = 7/3.

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The numerator for the given rational expression is 3 + 5k.

In the given rational expression, (3 + 5k) represents the numerator. The numerator is the part of the fraction that is located above the division line or the horizontal bar.

In this case, the expression 3 + 5k is the numerator because it is the sum of 3 and 5k. The term 3 is a constant, and 5k represents the product of 5 and k, which is a variable.

The numerator consists of the terms 3 and 5k, which are combined using addition (+). Therefore, the numerator can be written as 3 + 5k.

To clarify, the numerator is the value that contributes to the overall value of the fraction. In this case, it is the sum of 3 and 5k.

Hence, the correct answer for the numerator of the given rational expression (3 + 5k) / (74/k^2) is 3 + 5k.

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After 5,730 years, 10 grams of carbon-14 would be present.

Scientists often use a process called carbon dating to estimate the age of archaeological finds. The process measures the amount of carbon-14, a: radioactive isotope with a half life of 5,730 years. If a sample of wood from an ancient artifact had 20 grams of carbon-14 initially, the amount remaining, in grams, is given by :

A(t)=20(1/2) ^ (t/5,730)

Substituting t = 5,730 in the given equation, we get:

A(5,730) = 20(1/2)^(5,730/5,730)

Simplifying, we get:

A(5,730) = 20(1/2)^1

A(5,730) = 20(1/2)

A(5,730) = 10

Hence, after 5,730 years, 10 grams of carbon-14 would be present.

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Answer:

3:25 pm

Step-by-step explanation:

How much time do they need for tours

Empire State Building : 1 hour 10 minutes

Central Park                   2 hour 50 minutes

Times Square                1 hour

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

                                      4 hours 60 minutes

but 60 minutes = 1 hour  so subtract 60 minutes and add 1 hour

4 hours 60 minutes

+1        -60

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

5 hours

They need 5 hours for the tours

We have to be at dinner at 8:25 so we need to start 5 hours earlier

8:25

- 5

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

3:25

We can start no later than 3:25 pm

Answer:

3.25

Step-by-step explanation:

First convert into minutes

1 hour = 60 minutes

Empire state building:

60 + 10 = 70

Central park:

60 + 60 + 50 = 170

Times square:

60

Now add all minutes together.

70 + 170 + 60 = 300 minutes.

Convert into hours:

300 / 60 = 5 hours.

8 - 5 = 3

So, Gabby's family can start their tour at 3:25 at most to get to dinner on time.

Hope this helped.

Answer:

87.5 scarves in 5 hours

Step-by-step explanation:

35 divided by 2 is 17.5.

17.5 scarves each hour

17.5 multiplied by 5 is 87.5

Answer: 87.5 scarves

Step-by-step explanation:

5 divided by 2 is 2.5

35x2.5=87.5

Answer:

x-intercept is -8

y-intercept is 8

Step-by-step explanation:

✍️ Simplify the equation by dividing each term by 4

✍️ You have -x + y = 8

✍️ x-intercept is a value of x when y=0

✍️ From the equation -x + y = 8, put y=0 the value of x= -8

✍️Again y-intercept is a value of y when x=0

✍️From the equation -x + y = 8, put x=0 the value of y=8

End of solution

Answer: x intercept 8

y intercept -8

Step-by-step explanation:

got this question and this was the answer trust

Evaluating the function for x=2, F(x)= 8.

What is a linear equation?

Alternatively, a linear equation can be obtained by equating the linear polynomial over the field from which the coefficients are taken to zero.

The solution of such an equation is the value that makes the equation true when the unknowns are substituted.

If there is only one variable, there is only one solution. Often the term linear equation alludes to this special case where the variables are appropriately called unknowns.

With two variables, each solution can be interpreted as the Cartesian coordinates of a point on the Euclidean plane. The solutions of linear equations form lines in the Euclidean plane. Conversely, each line can be viewed as the set of all solutions to linear equations in two variables. This is the origin of the term linear for these types of equations. More generally, the solution of a linear equation in n variables forms a hyperplane (a subspace of dimension n − 1) in the Euclidean space of dimension n.

Therefore, Evaluating the function for x=2, F(x)= 8.

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Answer:

120 pizzas

Step-by-step explanation:

The interval in which the function h(x) = 5x³ - 3x^5 is increasing is given as follows:

(−1,0)∪(0,1).

The function in this problem is defined as follows:

h(x) = 5x³ - 3x^5.

To obtain the intervals for increase of decrease, the critical points of the function need to be obtained, which are the values of x for which the derivative is of zero.

The derivative of the function in this problem is given as follows:

h'(x) = 15x² - 15x^4.

Hence the critical points of the function are given as follows:

15x² - 15x^4 = 0

15x²(1 - x²) = 0.

Hence:

Then the signals of the derivative in each interval is given as follows:

The function is increasing when the derivative is positive, hence the interval is given as follows:

(−1,0)∪(0,1).

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Answer:

14+14 + 4pi= 28 + 4pi

\(\pi\)

Applying exponential properties, we have that the solution to the given expression is:

\(-\frac{125}{343}\)

When a fraction is elevated to the exponent, we apply the exponent to both the numerator and the denominator.

In this problem, we have that:

Negative base with odd exponent, hence the solution is negative and given as follows:

\(-\frac{125}{343}\)

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Using the Well-Ordering Principle (WOP), it can be proven that in every tournament with n players (where n is a natural number), there is at least one top player, defined as someone who either beats every other player or beats someone who beats the other player.

We will prove this statement by contradiction. Assume that there exists a tournament with n players where there is no top player. This means that for each player, there exists either another player who beats them or a chain of players such that each player beats the next one. Now, consider the set S of all players in this tournament. Since S is a non-empty set of natural numbers, it has a least element, let's say k.

Now, player k either beats every other player in the tournament, making them a top player, or there exists a player, let's say player m, who beats player k. In the latter case, we have a chain of players: k, m, p_1, p_2, ..., p_t, where p_1 beats p_2, p_2 beats p_3, and so on until p_t.

However, this contradicts the assumption that there is no top player, as either player k beats every other player (if m does not exist), or player m beats someone who beats the other player (if m exists). Hence, by contradiction, we have shown that in every tournament with n players, there is at least one top player.

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Answer:

linear

Step-by-step explanation:

Answer:

(1) Linear

Step-by-step explanation:

Hence, we can conclude that the value of the length of the rectangular base is 4 meters.

option b is correct.

'A rectangular pyramid is a type of pyramid with the base shaped like a rectangle but the sides are shaped like a triangle. A pyramid usually has triangular sides but with different bases.

According to the given problem,

Volume = 120 cubic meters

Height = 15 m

Width of rectangular base = 6 meter

Let the length be x,

\(v=\frac{lwh}{3}\)

\(120=\frac{x*15*6}{3}\)

360=90x

x=4 meter

Hence, we can conclude that the value of the length of the rectangular base is 4 meters.

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Answer:

16a² - 9

Step-by-step explanation:

This is the product of a sum and a difference and follows the pattern:

(a + b)(a - b) = a² - b²

(4a + 3)(4a - 3) = (4a)² - (3)² = 16a² - 9

Rozwiązanie w załączniku

Answer:

C. 3^9

Step-by-step explanation:

You would simply just add the exponents.

Answer:

3^9

Step-by-step explanation:

5+4=9

Answer:

Answer: Is third one

hope it help you

Thank u

Answer:

D. (∜(2x-8)^4=(-∜(2x+8)^4

Step-by-step explanation:

∜(2x-8)+∜(2x+8)=0        

Rearrange the radical on the left side of the equation

∜(2x-8)=-∜(2x+8)

Raise both sides to the 4 power

(∜(2x-8))^4=(-∜(2x+8))^4

Determine the sign for exponential or radical expressions

(∜(2x-8))^4=(∜(2x+8))^4

Simplify the radical expression

2x-8=(∜(2x+8))^4

Simplify the radical expression

2x-8=2x+8

Rearrange variables to the left side of the equation

2x-2x=8+8

Apply the Inverse Property of Addition

0=8+8

Simplify

0=16

No solution

The step that makes the most sense is D. (∜(2x-8)^4=(-∜(2x+8)^4

To determine the critical value for testing the correlation between number of beers and BAC, we need to use a statistical table for correlation coefficients. With a sample size of greater than 30 and a significance level of .05, the critical value for a two-tailed test is 0.312.

To determine whether the correlation is significant, we need to compare the calculated correlation coefficient (0.894) with the critical value (0.312). Since the calculated correlation coefficient is greater than the critical value, we can reject the null hypothesis that the correlation is not significant at the .05 level. Therefore, the correlation between number of beers and BAC is significant.
In conclusion, the critical value for testing if the correlation is significant at .05 is 0.312, and the correlation between number of beers and BAC is significant (yes).

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It takes Levi's dad 1.67 hours to wash the car by himself.

When Levi and his dad work together, they are able to wash the car in one hour. To find out how long it takes for Levi's dad to wash the car alone, we can use the work rate formula, which is (Work rate of Levi) + (Work rate of Levi's dad) = (Work rate of both together).

Levi takes 2.5 hours to wash the car alone, so his work rate is 1/2.5 = 0.4 cars per hour. We know that when they work together, they can wash one car in one hour, so their combined work rate is 1 car per hour. Let's denote Levi's dad's work rate as "x." We can now set up the equation:

0.4 + x = 1

To solve for x, we simply subtract 0.4 from both sides of the equation:

x = 1 - 0.4
x = 0.6 cars per hour

Now, to find out how long it takes for Levi's dad to wash the car alone, we need to find the reciprocal of his work rate:

1 / 0.6 = 1.67 hours

Therefore, it takes Levi's dad 1.67 hours to wash the car by himself.

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Answer:

-15 - 3 = -18

Rob owes his father 18 dollars.

Step-by-step explanation:

If he borrowed 15 dollars from his dad, then 3 more, he borrowed a total of 15 + 3 dollars. That means he borrowed a total of 18 dollars. When you borrow money, you owe people, and after you spend the borrowed money it's like subtracting money from your 0 dollars. 0 - 18 = -18. He needs to earn 18 more dollars to pay back his father and get a balance of 0 dollars again.

Hope this helps.

Answer:

1600

Step-by-step explanation:

You want to calculate the interest on $8000 at 5% interest per year after 4 year(s).

The formula we'll use for this is the simple interest formula, or:

Where:

P is the principal amount, $8000.00.

r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.

t is the time involved, 4....year(s) time periods.

So, t is 4....year time periods.

To find the simple interest, we multiply 8000 × 0.05 × 4 to get that:

The interest is: $1600.00

Usually now, the interest is added onto the principal to figure some new amount after 4 year(s),

or 8000.00 + 1600.00 = 9600.00. For example:

If you borrowed the $8000.00, you would now owe $9600.00

If you loaned someone $8000.00, you would now be due $9600.00

If owned something, like a $8000.00 bond, it would be worth $9600.00 now.

Answer:

least common multiple is 180

Answer:

I believe the answer is 13.

Step-by-step explanation:

Answer:

\(3,10,29,66,127,218\)

Step-by-step explanation:

\(f(n) = n^3 +2\\\\f(1) = 1^3 +2 = 1+2=3\\\\f(2) =2^3 +2 = 8+2=10\\\\f(3)=3^3 +2 = 27+2 = 29\\\\f(4) = 4^3 +2 = 64 +2 = 66\\\\f(5) = 5^3 +2 = 125+2 = 127\\\\f(6) = 6^3 +2 = 216+2 = 218\)

Answer:

The first three terms is 64, 32, 16

Step-by-step explanation:

Given

Number of participants = 64

Decrement = 1/2

Required

Find the first three terms

To calculate the first three terms, we make use of the following formula;

Current Term = Previous Term - 1/2 * Previous Term

The first term = Initial number of participants

First Term = 64

Second Term = First Term - 1/2 * First Term

Second Term = 64 - 1/2 * 64

Second Term = 64 - 32

Second Term = 32

Third Term = Second Term - 1/2 * Second Term

Third Term = 32 - 1/2 * 32

Third Term = 32 - 16

Third Term = 16

Hence, the first three terms is 64, 32, 16