what is the value of x in the figure shown?

The sum of the first 2021 positive even integers is (2021 x 2022). Therefore, Ray's sum exceeds Pat's sum by 2052.

The sum of the first 2021 positive even integers is given by 2+4+6+...+4040. To find this sum, we can use the formula for the sum of an arithmetic series:

S = (n/2)(a + l)

where S is the sum of the series, n is the number of terms, a is the first term, and l is the last term. In this case, n = 2021, a = 2, and l = 4040 (which is the 2021st even integer). So we have:

S = (2021/2)(2 + 4040)

= 2041210

Therefore, Pat's sum is 2041210.

The sum of the first 2022 positive even integers is given by 2+4+6+...+4042. Using the same formula as above, we have:

S = (2022/2)(2 + 4042)

= 2043262

Therefore, Ray's sum is 2043262.

To find by how much Ray's sum exceeds Pat's sum, we can subtract Pat's sum from Ray's sum:

2043262 - 2041210 = 2052

for such more question on integers

https://brainly.com/question/22008756

#SPJ11

Answer:

Step-by-step explanation:

9/100 i believe as you would multiply 3/10 by 3/10 due to the fact the marble is being replaced so the probability of getting a red marble the second time will be more unlikely. If I'm right please thank me or give me brainly. Hope this helps :)

The probability of drawing two red marbles, if the first marble is replaced after it is drawn, is 9/100.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

The probability of drawing a red marble on the first draw is 3/10, since there are 3 red marbles out of a total of 10 marbles.

Since the first marble is replaced before the second draw, the probability of drawing a red marble on the second draw is also 3/10.

To find the probability of drawing two red marbles in a row, we multiply the probabilities of the individual events, since they are independent:

P(drawing two red marbles) = P(red on first draw) × P(red on second draw)

P(drawing two red marbles) = (3/10) × (3/10)

= 9/100

Therefore, the probability of drawing two red marbles, if the first marble is replaced after it is drawn, is 9/100.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ3

Answer:

I’m pretty sure he withdrew $271.48

Step-by-step explanation:

Answer:

The price of T-shirts before the sale = 42 euros

The price of scarves before the sale = -77/2 euros

Step-by-step explanation:

The cost of the items Zina buys from the store initially are;

Two scarves and three T-shirts for 49 euros

The reduction in the price of scarves a week later during sales = 1.5 euros

The reduction in the price of T-shirts a week later during sales = 2 euros

The items Zina bought for 40 euros at the reduced price of the sales opportunity are;

Four scarves and five T-shirts for 40 euros

Let 'x' represent the initial price of a scarf and let 'y' represent the initial price of a T-shirt, we  have;

2·x + 3·y = 49...(1)

4·(x - 1.5) + 5·(y - 2) = 40...(2)

Expanding equation (2) gives;

4·x - 6 + 5·y - 10 = 40

4·x + 5·y = 40 + 6 + 10 = 56

∴ 4·x + 5·y = 56...(3)

By multiplying equation (1) by 2 and subtracting the result from equation (3), we get;

4·x + 5·y - 2 × (2·x + 3·y) = 56 - 2 × 49 = -63

-y = -42

y = 42

The price of T-shirts before the sale = 42 euros

x = (49 - 3 × 42)/2 = -77/2

x = -77/2

The price of scarves before the sale = -77/2 euros

(However, if the had bought the 4 scarves and 5 T-shirts during sales at 70 euros, we get;

The price of T-shirts before the sale = 12 euros

The price of scarves before the sale = 6.5 euros.

The allowable total price for the reduced 4 scarves and 5 T-shirts is between 66 and about 82 for both initial prices to be +ve)

The probability of one success in five trials in the binomial experiment with a success probability of 5 % is 20. 4 %.

The formula for calculating the likelihood of one success in a binomial probability with a 5% chance of success is:

P ( X = 1) = (5 choose 1) x ( 0.05 ) x  (0.95 ) ⁴

Solving for this success would give :

= ( 0.05 ) x  ( 0. 95 ) ⁴

= 0.05 x 0.8145

= 0.040725

Then we multiply both sides to get :

P(X = 1) = 5 x 0.040725

= 0.203625

= 20. 4 %

Find out more on binomial probability at https://brainly.com/question/28941825

#SPJ1

Answer:

Constant

Step-by-step explanation:

Whole numbers are numbers like 1,2,3 and 4.

1.1,2.3 and Pi arent't whole numbers. Fractions like 3/4 and 5/3 aren't whole numbers.

The whole numbers starting from 5 to 7 are:

● 5, 6 and 7

You can see that we have only one whole number between 5 and 7 wich is 6.

So m has only one value (m=6).

=> m is a constant

Answer:

$13.65

Step-by-step explanation:

$3.25 x 4.2 = ?

3 x 4.2 = 12.6

0.25 x 4.2 = 1.05

12.6 + 1.05 = 13.65

$3.25 x 4.2 = 13.65

Answer:

$13.65

Step-by-step explanation:

since each gallon is $3.25 and she put 4.2 gallons of gasoline into the tank, multiply to find your answer.

3.25*4.2=13.65

Answer:

The answer is 3

Step-by-step explanation:

1. The linear function that models his distance from Washington, D.C. as a function of time, in hours, is:

d(t) = 109.5 - 55t.

2. The time it will take him to arrive at a rest stop that is 60.2 miles from Richmond, VA is of: 0.9 hours = 54 minutes.

The slope-intercept representation of a linear function is given by the equation shown as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

In the context of this problem, these parameters are given as follows:

Hence the function is:

d(t) = 109.5 - 55t.

The time it will take him to arrive at a rest stop that is 60.2 miles from Richmond, VA is t when d(t) = 60.2 hence:

60.2 = 109.5 - 55t.

55t = 109.5 - 60.2

t = (109.5 - 60.2)/55

t = 0.9 hours = 54 minutes.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer:

$195

Step-by-step explanation:

40% represents £130

40% : $130

100% : total

To find total:

($130 / 40) x 100 = $325 is the total

If $130 spent:

$325 - $130 = $195 is the amount left

Answer: 5:8

Step-by-step explanation:

Given: Total animals in the pet store = 40

Number of animals that are puppies= 15

Number of animals that are not puppies= 40-  15 = 25

Now , the ratio of A to B = \(\dfrac{A}{B}\) or A : B.

So, the ratio of animals that are not puppies to the total number of animals for sale at the pet store = \(\dfrac{25}{40}\)

Divide numerator and denominator by 5 , we get \(\ \ \ \dfrac{5}{8}\).

Hence, the required ratio = 5:8

Answer:

$46.15

Step-by-step explanation:

$46.15 because 125% of $36.92 is $46.15

Hope this helps!

The unit price of the oranges bought by the three friends is $3.50 per pound.

Lamar bought 2 pounds for $7 , unit price = 7 / 2 = $ 3.5 per pound

Enrico bought 5 pounds for $17.50 , unit price = 17.50 / 5 = $ 3.5 per pound

Anna bought 3 pounds for $10.50 , unit price = 10.5/ 2 = $3.5 per pound

Hence we can see that the unit price rate for the oranges is $3.50 .

The average price of a product is calculated by dividing the total sales income by the number of units sold. Managers must supply "similar" units when a single product is given in many variations, such as different bottle sizes.

By weighting different unit selling prices higher by unit sales mix (%) for each single variant, the determination of average pricing is made practicable. We obtain pricing per statistical unit when we employ a standard rather than a genuine range of sizes and product types.

To learn more about unit price visit:

https://brainly.com/question/16037164

#SPJ9

There can be infinitely many pair of integers that have the difference -12.

Examples:

1. (12),(24)

{12-24}

2. (24), (36)

{24-36}

3. (0),(12)

{0-12}

Answer:

I can't understand

Step-by-step explanation:

I will just try to rewrite your question so someone lese can answer it.

"What is the probability of a chance event, with a probability of 0.05, to happen when compared to a chance event with a probability of 0."

or just what is the probability(how high or low are the chances) of an event with a very low chance of happening when compared to an event that can never happen.

The two possible functions is F(x)= \frac{x^4}{12}+3x^2 and F(x)= \frac{x^4}{12}+3x^2+x.

The derivative of the first derivative of the given function is known as the second order derivative. We can learn about the slope of the tangent at a particular position or the instantaneous rate of change of a function at that point from the first-order derivative at that point.

F”(x)= x^2+6

F’(x)= \int f"(x) dx

       = \int( x^2+6) dx

       = \frac{x^3}{3}+6x+c_1                                  c_1 is the integral constant.

F(x)= \int f\prime(x) dx

      = \int f (\frac{x^3}{3}+6x+c_1) dx

      = \frac{x^4}{12}+3x^2+c_1x+c_2

(i) if c_1=0 , and c_2=0

   F(x)= \frac{x^4}{12}+3x^2

(ii) if c_1=1, and c_2=0

        F(x)= \frac{x^4}{12}+3x^2+x

Therefore the two possible functions is F(x)= \frac{x^4}{12}+3x^2 and F(x)= \frac{x^4}{12}+3x^2+x

To learn more about the second-order derivatives visit

https://brainly.com/question/14415022

#SPJ4

The required value of x is 22 degrees for the given figure.

Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.

As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:

According to the given figure, it can be written as follows:

2x + 24 + 6x - 20 = 180

8x + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Therefore, the required value of x is 22 degrees for the given figure.

Learn more about supplementary angles here:

brainly.com/question/3027144

#SPJ1

The complete question is as follows:

Find the value of x for the below figure.

The approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches is 0.6

To find the approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches, we will first calculate the surface area (SA) and volume (V) of the ball, and then divide the surface area by the volume.

Step 1: Calculate the surface area (SA) using the formula for the surface area of a sphere:

\(SA = 4 πr^2\)
\(SA = 4 π5^2\)
\(SA = 4 π(25)\)
\(SA=100π\)

Step 2: Calculate the volume (V) using the formula for the volume of a sphere:

\(V = \frac{4}{3} π (r)^{3}\)
\(V = \frac{4}{3} π (5)^{3}\)
\(V = \frac{4}{3} π (125)\)
V = 166.67 π cubic inches

Step 3: Calculate the surface-area-to-volume ratio (SA/V)
\(\frac{SA}{V} = \frac{100}{166.67}\)
\(\frac{SA}{V}=\frac{100}{166.67}\)

\(\frac{SA}{V}= 0.6\)

So the approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches is 0.6. The best answer from the choices provided is A.

To know more about "volume of a sphere" refer here:

https://brainly.com/question/30522025#

#SPJ11

Answer:

In a triangle, the side opposite to the largest angle is the longest side, and the side opposite to the smallest angle is the shortest side. In triangle XYZ, the length of side XY is m + 8, the length of side YZ is 2m + 3, and the length of side ZX is m - 3. Since m ≥ 6, we can determine that 2m + 3 is the largest value, m + 8 is the next largest value, and m - 3 is the smallest value. Therefore, side YZ is the longest side and side ZX is the shortest side.

Since side YZ is the longest side, angle X must be the largest angle. Since side ZX is the shortest side, angle Y must be the smallest angle. Therefore, the correct ordering of the angles from smallest to largest is ∠Y < ∠Z < ∠X.

Step-by-step explanation:

The number of total different outcomes are, 7,776.

What is rolling dice?

Every face of a cube known as a dice has a unique number.

By throwing a dice into the air, players can advance in any game by getting a certain number. Typically, this dice or dice has numbers from 1 to 6 written on each face or side of the cube-like shape.

Given:

Discrete 5 dice of different colors are rolled, and the number coming up on each dice is recorded.

Since all the dice are of different colors.

So any combination of the numbers on the dice is unique.

Dice has numbers 1 to 6.

So, for each dice there are 6 possibilities.

Since number coming on a dice is independent to the number coming on the another dice.

So, total different outcomes are = 6 x 6 x 6 x 6 x 6 = 6^5 = 7776.

Hence, the number of total different outcomes are, 7,776.

To know more about rolling dice, click on the link

https://brainly.com/question/1542527

#SPJ4

Since y_1(0) = 1, it satisfies the initial condition. However, y_2(0) = 0 does not satisfy the initial condition, as it should be y(0) = 1. Therefore, only y_1(t) is a solution of the initial value problem.

To verify that both y_1(t) = 1 - t and y_2(t) = -t^2/4 are solutions of the initial value problem, we first need to understand what the problem is. An initial value problem is a differential equation that includes an initial condition. In this case, we can assume that the initial condition is y(0) = 1.
Now, let's substitute both y_1(t) and y_2(t) into the differential equation and see if they satisfy the initial condition. The differential equation is not provided, but assuming it is y'(t) = -t/2, we have:
y_1'(t) = -1
y_2'(t) = -t/2
Substituting y_1(t) and y_2(t) into the differential equation gives:
y_1'(t) = -1

= -t/2 (when t = 2)
y_2'(t) = -t/2

= -t/2 (for all t)
Thus, both y_1(t) and y_2(t) satisfy the differential equation. Now, let's check if they satisfy the initial condition.
y_1(0) = 1 - 0

= 1
y_2(0) = -0^2/4

= 0
In conclusion, y_1(t) = 1 - t is the only solution that satisfies the differential equation and initial condition, while y_2(t) = -t^2/4 is not a solution since it does not satisfy the initial condition.

To know more about initial value visit:

https://brainly.com/question/17613893

#SPJ11

Answer:

x=52

Step-by-step explanation:

160=4+3x

Subtract 4 from both sides

156=3x

Divide 3 from both sides

x=52

Answer:

Step-by-step explanation:

The monthly interest rate is the annual rate (APR) divided by 12.

  19%/12 ≈ 1.5833%

The loan will be paid in fewer than 91 months, because Zach will be paying at least $10 per month on his current balance of $910. The attached spreadsheet shows it will take 73 payments to pay off the loan.

Answer:

117 - 120 < -3

-3 < -3

False no

because it is not above -3

Step-by-step explanation:

Answer: No

Step-by-step explanation:

x = 9

y = 6

13x - 20y < -3?

Substitute the values of x and y

13(9) - 20(6) < - 3?

117 - 120 < -3?

-3 </ -3

-3 = -3

(9, 6) is not a solution

Answer:

3

Step-by-step explanation:

Slope m = (y2 - y1)/(x2 - x1)

m = (13 - 1)/(0 - -4) = 12/4 = 3

Answer:

X intercept = -2.4 or -12/5
y intercept = 1.714 or 12/7

Answer:

23

Step-by-step explanation:

34-29.99=4.01

4.01/17=23

pls give me brainliest

Answer:

It would be 23

Step-by-step explanation:

The maximum of a graph is found on the y axis. Considering the given interval, the point on the y axis is 4. Thus, the maximum of the graph over the interval is 4.

Answer: 1.25

Step-by-step explanation: Divide 1,200 in 7 days and the aswer is 1.25

Given:

Matthew's dad hired him to paint 6 wooden patio chairs for $125.

Time taken by him to paint all of the chairs = 9 hours.

It takes the same amount of time to paint each chair.

To find:

The fraction of an hour does it take Matthew to paint one chair

Solution:

Total time = 9 hours

Total number of chairs = 6

Now, time taken by Matthew to paint one chair is

\(\dfrac{\text{Total time}}{\text{Total number of chairs}}=\dfrac{9}{6}\)

\(\dfrac{\text{Total time}}{\text{Total number of chairs}}=\dfrac{3}{2}\)

Therefore, Mattew takes \(\dfrac{3}{2}\) of an hour to paint one chair.

Thinking with a model: On dividing the total time by total number of chairs we get time taken by Mattew (in hours) to paint one chair. So, the result represents the fraction of an hour taken by Matthew to paint one chair.