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We are to find the number of terms in the AP that has a sum greater than 250

The number of teams in the AP which has a sum greater than 250 is at least 11 terms

First term, a = 3

second term, a + d = 8

so

common difference, d = 8-3

= 5

let

n = number of terms in the AP

The sum of n terms is 250

Sum = n/2{2a + (n - 1)d}

250 = n/2{2*3 + (n-1)5 }

250 = n/2{6 + 5n - 5}

250 = n/2(1 + 5n)

500 = n + 5n²

5n² + n - 500 = 0

Solve quadratically using formula

n = -b ± √b² - 4ac / 2a

= -1 ± √1² - 4(5)(-500) / 2(5)

= -1 ± √1 - (-10000) / 10

= -1 ± √1 + 10000 / 10

= -1 ± √10001 / 10

= -1 + √10001 / 10 or -1 - √10001 / 10

= -1/10 + √10001/10

or

-1/10 - √10001 / 20

= 9.9005 or -10.1005

The value of n must be positive and a whole value

Therefore,

n = 9.9005

Approximately, n = 10

The number of teams in the AP which has a sum greater than 250 is at least 11 terms

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Answer:

\(A= \frac{18769}{4 \pi}\)

Step-by-step explanation:

The formula for the circumference of a circle is \(C=2\pi r\), where C is the circumference and r is the radius. The formula for the area of a circle is \(A=\pi r^2\), where A is the area and r is the radius. To find the area, we need to find the radius.

Since we know the circumference but not the radius, we set up the circumference formula with r as the unknown: \(137=2\pi x\). We divide \(2 \pi\\\) into both sides to get the radius: \(x=\frac{137}{2 \pi}\). (We leave pi, as it is asking in terms of pi).

Now, we plug the radius into the formula for area: \(A= \pi (\frac{137}{2 \pi})^2\). First, we double the radius:  \(A= \pi \frac{18769}{4 \pi ^2}\) and then we simplify the right side of the equation again by multiplying: \(A= \frac{18769 \pi }{4 \pi ^2}\). Then, we cancel out pi on both sides to finally get the area: \(A= \frac{18769}{4 \pi}\).

Answer:

Step-by-step explanation:

To find it we will divide the miles from hours

= 110 ÷ 2 = 55

165 ÷ 3 = 55

220 ÷ 4 = 55

The answer is 55

Answer:

3. 76 Balls and 27 Bats

4. you try this

5. you try this

Step-by-step explanation:

Each problem follows the same approach to solve.

Setup 2 equations, one showing the total number and the other showing the total costs.

I'll work out problem 3 and you should be able to do the other two

L=the number of balls

T=the number of bats

equation 1:

L+T=100

equation 2:

L(4.50) + T(20.00) = 822

solve for T in equation 1:

T= 100-L

now substitute T in equation 2:

L(4.5) + 20(100-L) = 822.0

solve for L:

L= -1178/-15.5=76

T=100-76=24

I'll let you know if problems 4 and 5 are correct

Answer:

A negative correlation means one variable decreases as the other increases.

Answer:

91.125

Step-by-step explanation:

Each term is multiplied by 1.5 to get the next term.

12,18,27,40.5, 60.75, 91.125

Hope that helped!!! k

Answer:

91.125

Step-by-step explanation:

We know that this is a geometric sequence. By definition, this means that each subsequent term divided by the previous one is a common ratio r.

Here, divide 18 by 12 to get:

18/12 = 3/2 = 1.5

Divide 27 by 18 to check if it's also 1.5:

27/18 = 3/2 = 1.5

Indeed, the common ratio is 1.5. Now, we simply multiply 27 by 1.5 to get the 4th term:

27 * 1.5 = 40.5

Multiply 40.5 by 1.5 to get the 5th term:

40.5 * 1.5 = 60.75

Finally, multiply 60.75 by 1.5 to get the 6th term:

60.75 * 1.5 = 91.125

Our answer is thus 91.125.

~ an aesthetics lover

The mean thickness of each paper sheet is 0.0095 inch with a variance of 0.00003225. Approximately 45.45% of the sheets are less than 0.0095 inch thick, and 40% have a thickness greater than 0.0123 inch.

Mean and variance for thickness of each paper sheet

Since the thickness of each paper sheet is uniformly distributed between 0.004 and 0.015 inch, the mean thickness is the average of the minimum and maximum values

Mean = (0.004 + 0.015) / 2 = 0.0095 inch

The variance of a uniform distribution is given by

Variance = (b - a)^2 / 12

where a and b are the minimum and maximum values of the distribution, respectively. Substituting the values, we get

Variance = (0.015 - 0.004)^2 / 12 = 0.00003225

Therefore, the mean thickness of each paper sheet is 0.0095 inch, and the variance is 0.00003225.

Proportion of paper sheets which are less than 0.0095 inch thick

Since the thickness of each paper sheet is uniformly distributed between 0.004 and 0.015 inch, we can find the proportion of sheets that are less than 0.0095 inch by finding the area under the density function of the uniform distribution between 0.004 and 0.0095.

The density function of a uniform distribution is given by

f(x) = 1 / (b - a)

where a and b are the minimum and maximum values of the distribution, respectively. Substituting the values, we get

f(x) = 1 / (0.015 - 0.004) = 1/0.011

The area under the density function between 0.004 and 0.0095 gives the proportion of paper sheets that are less than 0.0095 inch thick:

Proportion = ∫(0.004 to 0.0095) f(x) dx = [x / (b - a)](0.0095 - 0.004) = 0.4545

Therefore, approximately 45.45% of the paper sheets are less than 0.0095 inch thick.

Thickness exceeded by 40 percent of the paper sheets

To find the thickness exceeded by 40% of the paper sheets, we need to find the value of x for which 40% of the area under the density function lies to the right of x.

Since the density function is uniform, the area to the right of x is given by

Area = (b - x) / (b - a)

We want to find the value of x for which this area is equal to 0.4. Substituting the values, we get

0.4 = (0.015 - x) / (0.015 - 0.004)

Solving for x, we get

x = 0.0123

Therefore, 40% of the paper sheets have a thickness greater than 0.0123 inch.

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The probability of selecting an orange marble is 0.33.

Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of times each marble is selected.

Green = 4

Black = 6

Orange = 5

Total number of times all marbles are selected.

= 4 + 6 + 5

= 15

Now,

The probability of selecting an orange marble.

= 5/15

= 1/3

= 0.33

Thus,

The probability of selecting an orange marble is 0.33.

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The solution to the given expression would be 3x - 24 I believe.

Hope this helps!

The $1314^\text{th}$ digit past the decimal point is 2.

To find the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$, we can use long division to compute the decimal expansion of the fraction.

The long division of $\frac{5}{14}$ is as follows:

```

0.35    <-- Quotient

-----

14 | 5.00

   4.2    <-- Subtract: 5 - (14 * 0.3)

   -----

     80   <-- Bring down the 0

     70    <-- Subtract: 80 - (14 * 5)

     -----

     100   <-- Bring down the 0

      98    <-- Subtract: 100 - (14 * 7)

      -----

       20   <-- Bring down the 0

       14    <-- Subtract: 20 - (14 * 1)

       -----

        60   <-- Bring down the 0

        56    <-- Subtract: 60 - (14 * 4)

        -----

         40   <-- Bring down the 0

         28    <-- Subtract: 40 - (14 * 2)

         -----

         120   <-- Bring down the 0

         112    <-- Subtract: 120 - (14 * 8)

         -----

           80   <-- Bring down the 0

           70    <-- Subtract: 80 - (14 * 5)

           -----

           ...

```

We can see that the decimal expansion of $\frac{5}{14}$ is a repeating decimal pattern with a repeating block of digits 285714. Therefore, the $1314^\text{th}$ digit past the decimal point is the same as the $1314 \mod 6 = 0^\text{th}$ digit in the repeating block.

Since $1314 \mod 6 = 0$, the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$ is the first digit of the repeating block, which is 2.

So, the $1314^\text{th}$ digit past the decimal point is 2.

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The system of linear equations that can be used to determine the number of pieces of each kind of fruit in the crate are a + b = 72 and a = o + 8

Option B is correct.

Let the number of oranges be "o"

Let the number of apples be "a"

If each crate contains a total of 72 pieces of fruit, hence;

a + b = 72

Suppose that a crate has 8 more apples than oranges, then;

a = o + 8

This shows that the system of linear equations that can be used to determine the number of pieces of each kind of fruit in the crate are a + b = 72 and a = o + 8

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Answer:

Answer to number 2. is 30 minutes.

Step-by-step explanation:

Each smaller box horizontally represents 10 minutes. There included three boxes where he covered no distance.

Best Regards!

In linear equation,3 whole pizzas should they order .

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

total people = 4

Each person always eats 3/4 of a cheese pizza.

   3/4 + 3/4 + 3/4 + 3/4  

= 3 + 3 + 3 + 3 /4

= 12/4

= 3

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Answer: here are my answers.

Step-by-step explanation: Here are some brief answers to your questions:

1. The appearance of God is a matter of personal belief and varies across different religions and cultures.

2. This question is still debated by scientists and philosophers, and there is no clear answer. It is thought that the egg came first, as the evolution of birds and egg-laying animals predates the existence of chickens.

3. Views on what happens after death also vary across different religions and cultures. Some believe in an afterlife, while others do not.

4. Black holes are extremely dense regions in space where gravity is so strong that nothing, not even light, can escape.

5. Water is wet because it has a high surface tension, which allows it to adhere to other surfaces and create a thin film of water.

6. People die due to a variety of factors, including disease, injury, and aging.

7. The origin of the world is a complex question that has been studied by scientists, philosophers, and theologians for centuries. The most widely accepted scientific theory is the Big Bang theory, which suggests that the universe began with a massive explosion approximately 13.8 billion years ago.

8. Babies are formed through the fertilization of an egg by sperm, which occurs during sexual intercourse.

9. The sea is salty due to the presence of dissolved salts and minerals, which come from the weathering of rocks and volcanic activity.

10. The moon is sometimes visible during the day because its orbit around the Earth causes it to appear in different parts of the sky at different times.

11. The internet is a global network of interconnected computers and servers that communicate with each other using standardized protocols.

12. The sky appears blue because of the scattering of sunlight by the gases and particles in the Earth's atmosphere.

13. Wind is caused by differences in air pressure, which are created by variations in temperature, humidity, and other factors.

14. A leap year is a year that contains an extra day (February 29) to keep the calendar year synchronized with the astronomical year, which is approximately 365.25 days long.

15. The Earth spins on its axis due to the conservation of angular momentum from the formation of the solar system.

16. Blood is red because it contains hemoglobin, a protein that binds to oxygen and gives blood its characteristic color.

17. Infinity is a mathematical concept that represents a quantity that is larger than any finite number.

18. The Earth has a diameter of approximately 12,742 kilometers (7,918 miles) and a circumference of approximately 40,075 kilometers (24,901 miles).

19. The sky appears to be above us because the Earth's gravitational field holds the atmosphere in place around the planet.

20. Cutting onions releases a gas called syn-propanethial-S-oxide, which irritates the eyes and causes them to produce tears.

21. Planes fly by generating lift from their wings, which is created by the flow of air over the curved surface of the wing.

22. Telephones work by converting sound waves into electrical signals, which are transmitted over a network of wires or wireless connections.

23. Television works by transmitting images and sound over electromagnetic waves, which are received by a receiver and displayed on a screen.

24. Whether a person is right or left-handed is determined by the dominant hemisphere of their brain.

25. Electricity is a form of energy caused by the movement of electrons through a conductor.

26. Clouds float because they are made up of tiny water droplets or ice crystals that are lighter than the surrounding air.

27. Cars work by converting the energy stored in fuel into motion through a series of processes, including combustion, transmission, and propulsion.

28. The sun and moon appear to stay in the sky due to their position relative to the Earth's rotation and orbit.

29. The color of a person's eyes is determined by the amount and type of pigments in the iris.

30. Lightning is caused by the buildup and discharge of electrical energy in the atmosphere, typically between a cloud and the ground or between two clouds.

Answer:

It can

Step-by-step explanation:

For example, the GCF of 44 and 22 is 22.

Answer: 6x

Step-by-step explanation:

so consider x as the number,

twice of x= 2x

2x tripled= 2x*3

               = (2*3)x

               = 6x

Answer:

true

Step-by-step explanation:

if you rewrite \(sec\left(\frac{\pi }{2}\:-x\right)\) with trigonometric identities:

\(sec\left(\frac{\pi }{2}\:-x\right)\)    \(=\frac{1}{\sin \left(x\right)}\)

\(\frac{1}{\sin \left(x\right)}\)  \(=\csc \left(x\right)\)

so, yes,  \(sec\left(\frac{\pi }{2}\:-x\right)\)  \(=\csc \left(x\right)\)

hope this helps!!

We can use the F-test to determine the overall significance of the relationship between the number of books students referred to and the number of lectures they attended, and their final grade on the course.

To conduct the F-test, we need to calculate the F-statistic, which is the ratio of the variance between the groups (books and lectures) to the variance within the groups.

Using the data given, we calculate the F-statistic as F = 7.35. This value is compared to the critical value for F at the 0.05 level of significance, which is 3.86. Since the F-statistic is greater than the critical value, we can conclude that there is a significant relationship between the number of books students referred to, the number of lectures they attended, and their final grade on the course.

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Its speed of Rachel would be 30 meters per second.

Given that,

Stunt driver Rachel is trying to get out of a building that is going to blow up.

Here, the equation is,

\(d = - 38t + 220\)

Where, variable d models Rachel's distance from her exit (in meters) t seconds after the cameras began recording the stunt.

Now, Velocity is the rate at which a distance changes over time.

\(d = - 38t + 220\)

\(\dfrac{d(d)}{dt} = - 38\)

Hence, Speed is the magnitude of velocity.

\(|- 38| = 38\)

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Answer: 3 1/3

Step-by-step explanation:

Answer:

the top one is 30 the second one is 60.22 the third one is 66.7 the forth one is 59.8

The total momentum between the objects during the collision is 210 kgm/s

Momentum is the product of the mass of an object and its velocity.

Since two objects are in motion towards each other. The first has a mass of 10 kg and a velocity of 7 m/s. The second object has a mass of 10 kg and a velocity of 14 m/s, from the law of conservation of momentum, the total momentum during the collision is the sum of their momenta.

So, the total momentum P = p + p' where

So, P = mv + m'v'

Given that

Substituting the values of the variables into the equation for total momentum, we have

P = mv + m'v'

P = 10 kg × 7 m/s + 10 kg × 14 m/s

P = 70 kgm/s + 140 kgm/s

P = 210 kgm/s

So, the total momemtum is 210 kgm/s

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Answer:

6.5 gallons

Step-by-step explanation:

if u see we have to divided 13 by 2 to see how much each bowl will have

13/2= 6.5 gallons

The probability of picking a red counter is therefore; 8/25.

Since the ratio of red to green is 2 :3 and there are 24 green counters, it follows that the number of red counters is;

x = (2/3)× 24 = 16 red.

The total of red and green is; 16 +24 = 40 which constitutes 80% of the total counters.

The total number of counters is therefore; 40/0.8 = 50 counters.

The probability of picking a red counter is therefore; 16/50 = 8/25.

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The measure of the inscribed angle is equal to 90 degrees

The inscribed angle theorem mentions that the angle inscribed inside a circle is always half the measure of the central angle or the intercepted arc that shares the endpoints of the inscribed angle's sides. In a circle, the angle formed by two chords with the common endpoints of a circle is called an inscribed angle and the common endpoint is considered as the vertex of the angle.

In this problem, the side length of the square is 5 which forms 90 degrees to all the other sides.

The measure of the circumscribed angle is 90 degree

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Answer:

the answer is B

Step-by-step explanation:

because it is

Answer:

1, 8/7

Step-by-step explanation:

\(f \circ g=\frac{1}{\frac{1}{x-1}-7}\)

We know the domain excludes the values that make the denominator of a fraction equal 0.

From this, we know that:

\(x-1 \neq 0 \implies \boxed{x \neq 1} \\ \\ \frac{1}{x-1}-7 \neq 0 \\ \\ \frac{1}{x-1} \neq 7 \\ \\ 1 \neq 7x-7 \\ \\ 8 \neq 7x \\ \\ \boxed{x \neq 8/7} \\ \\ \therefore a=1, b=8/7\)

(a) To find AB, perform matrix multiplication of matrices A and B.

(b)  It is not possible to find BA because the number of columns in matrix A does not match the number of rows in matrix B.

(e)  To find the determinant of matrix A, evaluate the determinant using the provided matrix.

4. To find 3A + 2B, perform scalar multiplication and matrix addition using matrices A and B.

(a)Matrix A:

A = |1 -13|

      |0   6|

      |9   2|

Matrix B:

B = |6 -5|

      |10  1|

Performing matrix multiplication:

AB = |(1 * 6) + (-13 * 10)  (1 * -5) + (-13 * 1)|

       |(0 * 6) + (6 * 10)     (0 * -5) + (6 * 1)|

       |(9 * 6) + (2 * 10)     (9 * -5) + (2 * -7)|

Simplifying the multiplication:

AB = |-124 -18|

       | 60   -5|

       | 76  -53|

Therefore, AB = |-124 -18|

                       | 60   -5|

                       | 76  -53|

(b)Matrix A has 2 columns and matrix B has 3 rows. For matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix. Since the dimensions do not match (2 columns vs. 3 rows), we cannot find the product BA.

(e)Matrix A:

A = |0 -1|

      |6  2|

      |5 -1|

Using the formula for a 2x2 matrix determinant:

det(A) = (0 * 2) - (-1 * 6)

            = 0 + 6

            = 6

Therefore, the determinant of matrix A, det(A), is 6.

4.Matrix A:

A = |0 -1|

      |6  2|

      |5 -1|

Matrix B:

B = |0 -3|

      |0 -7|

      |5 -1|

Performing scalar multiplication and matrix addition:

3A = |3 * 0  3 * -1| = |0  -3|

        |3 * 6  3 * 2|     |18   6|

        |3 * 5  3 * -1|     |15  -3|

2B = |2 * 0  2 * -3| = |0  -6|

        |2 * 0  2 * -7|     |0 -14|

        |2 * 5  2 * -1|     |10  -2|

Adding 3A and 2B:

3A + 2B = |0  -3| + |0  -6| = |0  -9|

              |18   6|     |0 -14|     |18 -8|

              |15  -3|     |10  -2|     |25  -5|

Therefore, 3A + 2B = |0  -9|

                            |18 -8|

                            |25  -5|

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Not enough information is provided to determine the x-coordinate.

To determine the x-coordinate of the first car location at 8:30 PM, we need more information about the specific context or scenario. The x-coordinate is typically used to represent the horizontal position of an object on a coordinate plane. Without knowing the initial position or any information about the movement or velocity of the car, it is not possible to determine the exact x-coordinate at a specific time.

If additional details are provided, such as the initial position of the car or any information related to its movement, we can use that information to calculate the x-coordinate at 8:30 PM. However, without any specific context or given data, it is not possible to provide a meaningful answer to this question.

Therefore, without further information, it is not possible to determine the x-coordinate of the first car location at 8:30 PM.

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