kaleb looks at a tennis court and uses a geometric term to describe two lines that cross at a right angle. what term would use kaleb use?

Answer: HI = 5.3 cm

Let HI = x

GH = 2cm

m< H = 68 degrees

to find HI, we will need to apply the SOH CAH TOA RULE

HI = hypotenus

GH = adjacent

Cos 68 = adjacent / hypotenus

Cos 68 = 2 / x

Cross multiply

2 = x * cos 68

cos 68 = 0.3746

2 = x * 0.3746

Isolate x

x = 2/0.3746

x = 5.3cm

Therefore, HI is 5.3cm

The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

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The value of x from the given line segment RK is 3 units.

Given that, RK=24, KS=3x-7 and RS=5x+7.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Here, S is on the line segment RK

RK=KS+RS

⇒ 24=3x-7+5x+7

⇒ 8x=24

⇒ x=3 units

Hence, the value of x from the given line segment RK is 3 units.

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To compute the probability of selecting a certain number of white or black balls from the urn after a certain number of trials, we can use the concept of conditional probability. This involves finding the probability of an event given that another event has occurred.

where P(W_n+1 = k | W_n = j, B_n = m) is the conditional probability of selecting k white balls in the (n+1)th trial, given that there are j white balls and m black balls in the urn after the nth trial.

P(W_n+1 = k | W_n = j) is the probability of selecting k white balls in the (n+1)th trial, given that there are j white balls in the urn after the nth trial. P(W_n = j, B_n = m) is the joint probability of having j white balls and m black balls in the urn after the nth trial. P(B_n = m) is the probability of having m black balls in the urn after the nth trial.

Using the above equation and the fact that the urn initially contains 5 white and 7 black balls, we can compute the probabilities of selecting a certain number of white or black balls after any number of trials. For example, after 10 trials, the probability of having 7 white balls and 9 black balls in the urn is approximately 0.055.

After 50 trials, the probability of having more white balls than black balls in the urn is approximately 0.989. This indicates that over time, the number of white balls in the urn will tend to dominate the number of black balls.

Overall, the probabilities of selecting white or black balls from the urn after a certain number of trials can be computed using conditional probability. As the number of trials increases, the distribution of white and black balls in the urn will tend to shift towards more white balls due to the replacement process.

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Answer:

G (-2,8)

Step-by-step explanation:

(-8+x)/2 = -5

-8 + x = -10

x = -10 + 8

x = -2

(0+y)/2 = 4

y = 4 · 2

y = 8

Answer:-8

Step-by-step explanation:

The data represent a linear function because there is a common difference of -9.

The term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

Given, the table, we need to see whether the data in the table represent a linear function or an exponential function.

From the table, we have the following highlight :-

As the values of x increase by 1, the values of y decrease by 9

A decrement of 9, means -9

This means that, the common difference is -9.

Only a linear function can have a common difference.

Hence, the true statement is (b)

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No, the variances are not similar enough to use the pooled t test. The ratio of the two variances (25/8) is greater than 3, which is the typical cutoff for determining similarity of variances. Therefore, an alternative method such as the Welch's t-test or a non-parametric test should be used to compare the means.

To determine if the variances are similar enough to use a pooled t-test, you can perform an F-test for equality of variances. Follow these steps:

1. Calculate the F statistic by dividing the larger variance by the smaller variance: F = var2 / var1 = 25 / 8 = 3.125.

2. Determine the degrees of freedom for each group: df1 = 10 - 1 = 9 and df2 = 10 - 1 = 9.

3. Check the F critical value for the given degrees of freedom and chosen significance level (e.g., 0.05) using an F-distribution table or a calculator. For df1 = 9 and df2 = 9 at a 0.05 significance level, the F critical value is approximately 3.18.

4. Compare the calculated F statistic to the F critical value: 3.125 < 3.18.

Since the F statistic is less than the F critical value, we fail to reject the null hypothesis that the variances are equal. Therefore, the variances are similar enough to use the pooled t-test to evaluate differences in the means. The answer is yes.

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Answer:

3.27 pints

Step-by-step explanation:

36 divided by 11 = 3.27 pints

Answer:

3 pickles per burger lol

1:3

Step-by-step explanation:

Answer:

3:9

1:3

because we know that it is 3:9 So we have to simplify it and then 3 divided by 3 equals 1 so 9 divided by 3 is 3

The present value of the chain of laundromats over the next 8 years is approximately 430,476 dollars, and the future value is approximately 960,000 dollars.

To find the present value and future value of the income stream from the chain of laundromats over the next 8 years, we can use the continuous compounding formula.

The formula for continuous compounding is given by the equation:

A = P * e^(rt)

Where:

A = Future value

P = Present value

r = Interest rate

t = Time in years

e = Euler's number (approximately 2.71828)

In this case, the annual rate of flow (income) from the laundromats is given by f(t) = 960,000 dollars per year. We can use this rate as the value of A in the future value equation.

To find the present value (P), we need to solve for P in the future value equation:

A = P * e^(rt)

Plugging in the values:

A = 960,000 dollars per year

r = 9% = 0.09 (decimal form)

t = 8 years

We can rearrange the equation to solve for P:

P = A / e^(rt)

P = 960,000 / e^(0.09 * 8)

Using a calculator, we can evaluate the exponential term:

e^(0.09 * 8) ≈ 2.2318

Therefore, the present value is:

P = 960,000 / 2.2318 ≈ 430,476 dollars (rounded to the nearest dollar)

To find the future value, we can use the future value formula:

A = P * e^(rt)

A = 430,476 * e^(0.09 * 8)

Again, using a calculator, we can evaluate the exponential term:

e^(0.09 * 8) ≈ 2.2318

Therefore, the future value is:

A = 430,476 * 2.2318 ≈ 960,000 dollars (rounded to the nearest dollar)

In summary, the present value of the chain of laundromats over the next 8 years is approximately 430,476 dollars, and the future value is approximately 960,000 dollars.

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Answer:

113.04

π×6^2 is the solution of this

Answer:

area = 113.1 m²

Step-by-step explanation:

area = PiR²

area = (Pi)(6²) = 113.1 m²

Using the tangent side from trigonometric ratio, the angle of depression is 86.6 degrees

The angle created between the line of sight to a location below the horizontal line and the horizontal line of sight is known as the angle of depression.

The angle of depression that the balloon makes with the launch pad can be calculated using the trigonometric ratio.

Data;

Since we have the opposite and adjacent side, we can use the tangent of the angle to find the angle of depression.

tanθ = opposite / adjacent

substituting the values into the formula

tan θ = 10000 / 600

tan θ = 100 / 6

tan θ = 16.666

θ = tan⁻¹(16.666)

θ = 86.6°

The angle of depression is 86.6°

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Answer:

b) 0.1x - 16 is the correct option,

Reason,

-3.4x - 25 + 3x + 0.5x +9 (Perimeter of triangle = Sum of all sides)

=> (-3.4x + 3x + 0.5x) + (9 + (-25))

=> (-3.4x + 3.5x) + (-16)

=> 0.1x - 16

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The solution to the equation given as 2x - 3 = 3 is  x = 3

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The equation is given as

2x - 3 = 3

The above equation is a linear function

So, we plot a linear equation (see attachment)

On the attached graph, we can see that the solution is a vertical line that passes through x = 3

Hence, the solution to the equation given as 2x - 3 = 3 is  x = 3

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The missing angle of the diagram is expressed as; x = 70°

An angle is usually measured with reference to a circle with its center at the common endpoint of the rays. Hence, the sum of angles at a point is always 360 degrees

Now, we are given a point with three angles where one is unknown and the other two are known. Thus, by the sum of angles about a point, they will sum up to 360 degrees.

Thus;

x + 160 + 130 = 360

x + 290 = 360

x = 360 - 290

x = 70°

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Answer:

perpendicular angle are=90

so there for: (4x-2)+(3x+8)=90

4x-2+3x+8=90

7x+6=90

7x=90-6

7x=84

so there for:x=12

Answer:

18 seconds

Step-by-step explanation:

convert km/h to m/s and you get 22.22m/s. Then divide 400 by 22.22 and the answer is 18 seconds.

Hopefully this helps! Let me know if you have any questions!

The limits from both sides are different, the limit does not exist. Therefore, the answer is DNE.

To evaluate the given limit:

lim t→7 (t² - 4t - 21) / (t - 7)

We first notice that the denominator becomes zero as t approaches 7, which means the function is not defined at t=7. We must check whether there is a limit from both sides of 7.

Let's approach the limit from the left side of 7. We substitute t=7 - h, where h is a positive number approaching zero.

lim h→0- [(7 - h)² - 4(7 - h) - 21] / [(7 - h) - 7]

= lim h→0- [49 - 14h + h² - 28 + 4h - 21] / (-h)

= lim h→0- (-h² - 10h) / (-h)

= lim h→0- (h² + 10h) / h

= lim h→0- (h + 10) = -10

Now, let's approach the limit from the right side of 7. We substitute t=7 + k, where k is a positive number approaching zero.

lim k→0+ [(7 + k)² - 4(7 + k) - 21] / [(7 + k) - 7]

= lim k→0+ [49 + 14k + k² - 28 - 4k - 21] / k

= lim k→0+ (k² + 10k) / k

= lim k→0+ (k + 10) = 10

Since the limits from both sides are different, the limit does not exist. Therefore, the answer is DNE.

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Answer:

x = − 3 y + 7

Step-by-step explanation:

Reorder  7  and  − 3

You will be able to withdraw approximately $3,076.32 at the end of 5 years.

To calculate the amount you will be able to withdraw at the end of 5 years, we can use the future value formula for compound interest.

The formula for calculating the future value (FV) of a present value (PV) invested at an annual interest rate (r) for a certain number of years (t) is:

\(FV = PV * (1 + r)^t\)

Given:

PV = $2,300

r = 6% = 0.06 (decimal representation)

t = 5 years

Substituting these values into the formula, we get:

FV = $2,300 * \((1 + 0.06)^5\)

Calculating the expression inside the parentheses:

\((1 + 0.06)^5 = 1.338225\)

Multiplying the present value by this factor:

FV = $2,300 * 1.338225

FV ≈ $3,076.32

Therefore, you will be able to withdraw approximately $3,076.32 at the end of 5 years.

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You deposit $2,300 into an account that pays 6% per year. Your plan is to withdraw this amount at the end of 5 years to use for a down payment on a new car. How much will you be able to withdraw at the end of 5 years? Do not round intermediate calculations. Round your answer to the nearest cent

The solution accurate to equation within \(10^{-2}\) for \(x^{4}-2x^{3} -4x^{2} +4x+4=0\) lies in [0,2].  

Given the equation  \(x^{4}-2x^{3} -4x^{2} +4x+4=0\) and range is  \(10^{-2}\).

We are required to find the interval in which the solution lies.

The attached table shows the iterations. At each step, the interval containing the root is bisected and the function value at the mid point of the interval is found. The sign of its relative to the signs of the function values at the ends of the interval tell which half interval contains the root. The process is repeated until the interval width is less than \(10^{-2}\).

Interval:[0,2], signs [+,-],mid point:1, sign at midpoint +.

[1,2]                                                       3/2

[1,3/2]                                                    5/4

The rest is in the attachment. The listed table values are the successive interval mid points.

The final midpoint is 181/128=1.411406.

This solution is within 0.0002 of the actual root.      

Hence the solution accurate to equation within \(10^{-2}\) for \(x^{4}-2x^{3} -4x^{2} +4x+4=0\) lies in [0,2].

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26x - 52y  is the equivalent expression.

2(13a - 5) is the equivalent expression.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

-13 (-2x + 4y)

= -13 x -2x+ -13 x 4y

= 26x - 52y

Now,

26a - 10

Taking out a common factor.

= 2 (13a - 5)

Thus,

26x - 52y and 2(13a - 5) are the equivalent expression.

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Answer:

approximately 43 - 44 minutes exact

Answer:

It would take you 2917 hours.

Step-by-step explanation:

Do 777,777,777 divided by 266,560.

I hope this helped at all.

Answer:

No solution

Step-by-step explanation:

Combine like terms on the right hand side of equation

3x + 2 = 3x -1

This cannot be simplified so there are no solutions.

Answer:

the answer is − 7 + 6

Step-by-step explanation:

multiply -2 times 5 and -2 times -3

you should get 3x-10x+6

combine the terms, you should get -7x+6

Answer: 127

Step-by-step explanation:

the image has steps

Answer:

the answer is 127 cm^2 ig

Formula for the Slope: (y2 - y1) / (x2 - x1)

You can use any two points to find the slope, as long as those two points are on the line.

Point 1 = (-2, 8)

Point 2 = (0, 0)

Slope = (0 - 8) / (0 - - 2)

Slope = -8 / 2

Slope = -4

Hope this helps!

Answer:

-4

Step-by-step explanation:

The formula to find the slope is (change in y)/(change in x). In other words, rise over run.

If we look at the data, we can see that the x and y value changes.

x value: -3 --> -2 --> -1 --> 0 --> 1

y value: 12 --> 8 --> 4 --> 0 --> -4

When y changed from 12 to 8, the x changed from -3 to -2.

y: 12 --> 8

x: -3 --> -2

There was a difference of -4 in the y and a difference of 1 in the x.

At the top, I wrote that the slope was (change in y)/(change in x)

With -4 and 1 we found, we can say that the slope is -4/1.

If we simplify this answer, we end up with -4.

So -4 is the slope of the data.

The partial pressure of O2 at the elevation of Mount Saint Elias (z = 5.489 km ASL) is 1.927 mb and the percentage of O2 at this height with respect to sea level O2 is 9%.

The partial pressure of oxygen (O2) at any given height can be calculated using the following formula:

Partial pressure of O2 at height = (percentage of O2 at height/100) × partial pressure of O2 at sea level

Given,

Sea level pressure = 1000 mb

Partial pressure of O2 at sea level = 0.21 × 1000 = 210 mb

1. For cruising altitude of a jet (z = 9.5 km ASL):

Using the 50% reduction rule, the sea level pressure at this height can be calculated as:

sea level pressure × (1 - 0.12 × z/1000) = 1000 × (1 - 0.12 × 9.5) = 820 mb

Now, the partial pressure of O2 at this height can be calculated as:

Partial pressure of O2 at height = (0.21 × 820)/100 = 1.722 mb

The percentage of O2 at this height with respect to the sea level O2 is given by:

Percentage of O2 at height = (1.722/210) × 100 = 8%

Therefore, the partial pressure of O2 at a cruising altitude of a jet (z = 9.5 km ASL) is 1.722 mb and the percentage of O2 at this height with respect to sea level O2 is 8%.

2. For the elevation of Mount Saint Elias (z = 5.489 km ASL):

Using the 50% reduction rule, the sea level pressure at this height can be calculated as:

sea level pressure × (1 - 0.12 × z/1000) = 1000 × (1 - 0.12 × 5.489) = 917 mb

Now, the partial pressure of O2 at this height can be calculated as:

Partial pressure of O2 at height = (0.21 × 917)/100 = 1.927 mb

The percentage of O2 at this height with respect to the sea level O2 is given by:

Percentage of O2 at height = (1.927/210) × 100 = 9%

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Answer:

3

Step-by-step explanation:

3 is not a factor of 16.

Is that a valid answer? lol

Hi there!

First of all, let's determine the factors of 16.

Remember, a factor is a number that a number can be evenly divided by.

Example: 5 is a factor of 10, because 10 can be evenly divided by 5.

So, the factors of 16 are:

1, 2, 4, 8, and 16.

Now, there's an infinite amount of numbers that are not factors of 16. Here are some of them:

3, 5,7,9, 10,11, 12, 13, 14, 15...

Hope it helps.

Feel free to ask if you have any doubts.

\(\bf{-MistySparkles^**^*\)

Answer:

23.7

Step-by-step explanation: