The kinetic energy T units of a moting body (of constant mass) varies as the square of its speed vm/s. If T = 800 units when v= 20m/s: Calculate V when T= 1800.​

The cutoff point is 717 minutes.

Arrange the data in ascending order.

307, 311, 321, 322, 354, 363, 377, 406, 410, 425, 435, 461, 464, 474, 499, 505, 513, 517, 534, 548

Thus, the value of i is 5.

Here, i is an integer, the 25th percentile is the mean of the data values at the 5th and 6th positions.

The data value in the 5th position is 354 and the data value in the 6th position is 363. Thus, the mean of these two values is,

=358.5

​

The 25th percentile is considered as the first quartile. Hence, the value of the first quartile (Q1 ) is 358.5 minutes.

Find the third quartile (Q3) or 75th percentile.

Consider p=75 and n=20 .

Thus, the value of i is 15.

Here, i is an integer, the 75th percentile is the mean of the data values in positions at the 15th and 16th

The data value in the 15th position is 499 and the data value in the 16th  position is 505. Thus, the mean of these two values is 502.

The 75th percentile is considered as the third quartile. Hence, the value of the third quartile (Q3 ) is 502 minutes.

The interquartile range (IQR) is 143.5

The upper fence is,

Upperfence=502+(1.5∗143.5)

=502+215.25

=717.25

≈717minutes

The cutoff point is 717 minutes.

The phone company decides to use the upper fence as the cutoff point for the number of minutes at which the customer should be contacted. Thus, the cutoff point is 717 minutes.

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i cant see your photo

Step-by-step explanation:

The triangle of given dimensions is isosceles and acute triangle.

Triangle is a shape with three sides and hence three angles. We know that triangles are classified according to the sides and angles. Based on angles, the classification of triangle is acute, obtuse and right triangle.

Based on sides, the classification of triangle is equilateral, isosceles and scalene triangle. Now, if the dimensions will form a triangle or not can be estimated through the formula -

side 1 + side 2> side 3

We see that 17 + 17 > 12

34 > 12

Thus, the triangle will form.

Moreover the two sides are equal hence it will be isosceles triangle. Since two sides are equal thus two angles will also be equal.

Now, if we square the sides and find their sum, it will be greater than square of third side. Hence, it is acute triangle.

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You can use the equation 9d-25=920.

Answer:

Step-by-step explanation:

∠1 and 85 are supplementary

m∠1 = 180 - 85 = 95°

Considering the given figure we have that

< BAC = < CAD         definition of angle bisection

< BAC = < BCA         base angles of isosceles triangle

This refers to when angles are being shared or divided into two equal parts.

In the given problem, line AC is the bisector of < BAC. creating wo equal angles in the process. hence

< BAC = < CAD         definition of angle bisection

Triangle BAC is an isosceles triangle, since the sides BA and BC are equal. the angles are also equal therefore

< BAC = < BCA         base angles of isosceles triangle

Line AC is also a transversal line, connecting the two parallel lines BC and AD. This creates opportunity for alternate angle theorem

< BCA = < CAD        alternate internal angle theorem

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It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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If 24,783 is invested, part at 15% and the rest 9%. If the interest earned from the amount invested at 15% exceeds the interest earned from the amount invested at 9% by $894.09: 51,960 is invested at 15%, and 22,823 is invested at 9%.

Let's x represent the amount invested at 15%

Let the  amount invested at 9% = 24,783 - x.

Interest earned at 15% is 0.15 * x

Interest earned at 9% is 0.09 * (24,783 - x)

We can set up the equation: 0.15x = 0.09 * 24,783 - 0.09x + 894.09

Solving for x:

0.06x = 24,783 * 0.09 + 894.09

0.06x = 2223.47 + 894.09

0.06x = 3117.56

x = 51,960

So,

(24,783 - x)

24,783 - 51,960

= 22,823

Therefore 51,960 is invested at 15%, and 22,823 is invested at 9%.

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Step-by-step explanation:

Centre of circle(h,k)=(1,-4)

radius of the circle(r)=2

Equation of the circle is,

(x-h)^2+(y-k)^2=r^2

(x-1)^2+(y+4)^2=2^2

x^2-2x+1+y^2+8y+16=4

x^2+y^2-2x+8y+13=0 is the req.equation of the circle.

Give brainliest

The graph of U + V + W vectors is attached accordingly.

A vector is a number or phenomena with two distinct properties: magnitude and direction. The word can also refer to a quantity's mathematical or geometrical representation.

From the question,

U = (1,5), iV = (-3, 1) and W = (4, -3)

Thus, U + V + W = (1-3+4, 5+1-3)

= (2, 3)

Hence, the attached graph.

Note that In nature, vectors include velocity, momentum, force, electromagnetic fields, and weight.

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Given statement solution is :- The given expression √(-8 + 6i) does not have a real solution in the form w = a + bi, where a and b are real numbers.

To find the complex number in the form w = a + bi, where a and b are real numbers, we can solve the given expression.

Let's solve √(-8 + 6i) step by step:

First, we can express -8 + 6i in the form a + bi:

-8 + 6i = -8 + 6i + 0i = -8 + 6i + \(0i^2\)

Now, we can take the square root of -8 + 6i:

√(-8 + 6i) = √((-8) + 6i + \(0i^2\))

Since \(i^2\) = -1, we can simplify the expression further:

√(-8 + 6i) = √(-8 - 6 + 6i)

= √(-14 + 6i)

Now, we want to express -14 + 6i in the form a + bi:

-14 + 6i = -14 + 6i + 0i = -14 + 6i +\(0i^2\)

Taking the square root, we have:

√(-14 + 6i) = √((-14) + 6i + \(0i^2\))

Since \(i^2\) = -1, we can simplify the expression further:

√(-14 + 6i) = √(-14 - 6 + 6i)

= √(-20 + 6i)

Now, we want to express -20 + 6i in the form a + bi:

-20 + 6i = -20 + 6i + 0i = -20 + 6i + \(0i^2\)

Taking the square root, we have:

√(-20 + 6i) = √((-20) + 6i + \(0i^2\))

Since \(i^2\) = -1, we can simplify the expression further:

√(-20 + 6i) = √(-20 - 6 + 6i)

= √(-26 + 6i)

Now, we want to express -26 + 6i in the form a + bi:

-26 + 6i = -26 + 6i + 0i = -26 + 6i +\(0i^2\)

Taking the square root, we have:

√(-26 + 6i) = √((-26) + 6i + \(0i^2\))

Since \(i^2\) = -1, we can simplify the expression further:

√(-26 + 6i) = √(-26 - 6 + 6i)

= √(-32 + 6i)

We continue this process until we reach a point where the expression simplifies. However, in this case, we encounter an expression that cannot be simplified further, as the square root of a negative number is not defined in the set of real numbers.

Therefore, the given expression √(-8 + 6i) does not have a real solution in the form w = a + bi, where a and b are real numbers.

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Answer:

A. To form an even number, the last digit must be either 8 or 5, since they are the only even digits in the set. Since a digit can be used at most once, there are two choices for the last digit.

For the first digit, there are four choices (1, 3, 5, or 7), since we cannot use 0 or the last digit.

For the second digit, there are four choices remaining (since one digit has been used), and for the third digit, there are three choices left.

Therefore, the total number of four-digit even numbers that can be formed is: 2 x 4 x 4 x 3 = 96.

B. To form a number less than 3000, the first digit must be 1, 3, or 5. There are three choices for the first digit.

For the second digit, there are four choices remaining (since one digit has been used), and for the third digit, there are three choices left.

For the fourth digit, there are two choices remaining (since we cannot use the first digit).

Therefore, the total number of four-digit numbers less than 3000 that can be formed is: 3 x 4 x 3 x 2 = 72.

Answer:

126

Step-by-step explanation:

9 by 10 is 90

9 by 4 is 36

90+36= 126

Hope this helps <3

The option a is giving the same value according the table. So the option a is correct answer.

In the given question, the table represents some points on the graph of linear function f.

We have to find which function represents f.

(a) f(x)= 32(3x-1)

(b) f(x)= -32(x-3)

(c) f(x)= -2(32x-3)

(d) f(x)= 16(2x-1)

We find the pattern we firstly observe the given table closely.

So from the given table;

f(-2) = -224, f(1) = 64, f(5) = 448, f(10) = 928

To check which option is giving the value of f(x) right according to table, we put the value in each option.

Firstly taking the option a.

f(x)= 32(3x-1)

Now checking the option 1.

Putting x=-2, if the value of f(-2) = -224, then the option is correct.

f(-2)= 32(3(-2)-1)

f(-2)= 32(-6-1)

f(-2)= 32*(-7)

f(-2)= -224 (True)

Now putting x=1 in the same option to cross check, if the value of f(1) = 64, then the option is correct.

f(1)= 32(3(1)-1)

f(1)= 32(3-1)

f(1)= 32(2)

f(1)= 64

Now the option a is giving the same value according the table. So the option a is correct answer.

We find the right answer so we don't check the further option. To check next option you can use the same way.

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Answer:

9000

Step-by-step explanation:

Answer:

Hope you can understand my handwriting though

Answer:

-5/4x + 1/6

Step-by-step explanation:

Got it correct on edge

Answer:

a

Step-by-step explanation:

Answer:

i cant put the picture

Step-by-step explanation:

d. Median=33;Q1=25 the median is represented by the line in between the two boxes. Q1 is represented by the line on the far left of the box in the picture Q1 is marked for quadrent 1 and m is for median

Answer:

(3)(15)

Step-by-step explanation:

75% of 60=60 x 0.75

      =(3)(15)

Answer:C

Step-by-step explanation:

C

Answer:

52.63%

Step-by-step explanation:

The gasoline increased by $1.20. This means it grew by about 52.63% (Double-check to make sure I am correct)

Answer:

x = 9

Step-by-step explanation:

To solve the equation 2x - 7 + 3x = 4x + 2 for x, you can follow these steps:

Combine like terms on both sides of the equation. Add the x terms together and move the constant terms to one side of the equation:

2x + 3x - 4x = 2 + 7

Simplifying the left side: x = 9

Simplify the right side of the equation:

x = 9

Therefore, the solution to the equation is x = 9.

Step-by-step explanation:

Multiplication of fractions is easiest operation. Simply multiple numerator to numerator and denominator to denominator. For example,

\(\frac{x}{y} * \frac{a}{b }= \frac{x*a}{y*b}\)

Addition and subtraction requires that we find a common demoninator.

For example,

\(\frac{6}{4} + \frac{4}{3}\)

The common denominator is 12. So I need to muliply each fraction to get the right denominator. 4*3 = 12.

\(\frac{6}{4}*\frac{3}{3} + \frac{4}{3} \frac{4}{4} = \frac{18}{12}+\frac{16}{12}\)

Then we add the numerators

\(\frac{18+16}{12} = \frac{32}{12}\)

Then we should reduce.

\(\frac{16}{6} = \frac{8}{3}\)

Division is a little trickier because we have to flip-flop the second term and then multiply. For example: \(\frac{1}{10} \div \frac{5}{6} \rightarrow \frac{1}{10} * \frac{6}{5} = \frac{6}{50}\)

Rounded to the nearest dollar, the average daily balance of the credit card for the August 1 through August 31 billing period is $74.

To find the average daily balance of the credit card for the August 1 through August 31 billing period, we need to calculate the sum of the daily balances and divide it by the number of days in the billing period.

Let's calculate the daily balances for each day:

Day 1: Closing Balance = $850

Day 8: Closing Balance = $300

Day 16: Closing Balance = $500

Day 24: Closing Balance = $650

To calculate the daily balances, we need to consider the activities that occurred on each day.

On Day 1, there was no activity recorded, so the closing balance remains at $850.

On Day 8, a payment of $550 was made. Therefore, the closing balance is $850 - $550 = $300.

On Day 16, a purchase of $200 was made. Therefore, the closing balance is $300 + $200 = $500.

On Day 24, a purchase of $150 was made and an adjustment of $4 was applied. Therefore, the closing balance is $500 + $150 - $4 = $650.

Now, let's calculate the average daily balance:

Sum of daily balances = $850 + $300 + $500 + $650 = $2300

Number of days in the billing period = 31

Average daily balance = Sum of daily balances / Number of days = $2300 / 31 ≈ $74.19

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Turner had predicted he would run for 30 yards in the game.

In terms of a number out of 100, a % is a means to express a proportion or a fraction. It is represented by the symbol "%". For example, if 25 out of 100 students in a class are girls, we can say that the percentage of girls in the class is 25%.

To find out how many yards Turner predicted he would run for, we can use the following steps:

Therefore, Turner had predicted he would run for 30 yards in the game.

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Answer:

Hal and Pat, a married couple filing jointly, had the mortgage debt on their principal residence cancelled in 2021. What is the maximum amount of qualified principal residence debt cancellation that they can exclude from their income?

Answer:

0.7703

Step-by-step explanation:

The easiest way to calculate this is to find the probability that none of the cubes show a 2. The probability that a cube doesn't show a 2 is 11/12.

\(\frac{11}{12} * \frac{11}{12} * \frac{11}{12} =\) 0.7703. Now we have to subtract this value from one which gives us 0.2297. Hope this helps

Answer:

The correct answer is 0.2297 (B)

Step-by-step explanation:

I just finished the Unit test review on Edge-The other person is wrong!!!

Answer:

Set your calculator to degree mode.

Please sketch the figure to confirm my answer.

cos(38°) = 320/d

d•cos(38°) = 320

d = 320/cos(38°) = 406.1 feet