90 POINTS!!!!! Given: KLIJ inscr. in k(O),m∠K = 64°, measure of arc LI = 69°, measure of arc IJ = 59°, measure of arc KJ =97°


Find: All angles of KLIJ

Answer:

35

Step-by-step explanation:

Put the numbers in the formula and do the arithmetic.

nCk = n!/(k!(n -k)!)

7C3 = 7!/(3!(7-3)!) = 7·6·5/(3·2·1) = 7·5 = 35

_____

It is convenient to use the largest of the factorials in the denominator to cancel as many factors as you can from the numerator, then cancel factors from the remaining numbers. Here after canceling 4! = 4·3·2·1 from the numerator, we are left with 7·6·5 divided by 3! = 3·2·1 = 6. Obviously, this will cancel the 6 in the numerator product, leaving only 7·5 = 35.

Some graphing and/or scientific calculators will have this function built in.

Answer:

17 ft

Step-by-step explanation:

I don't think you meant to put pi over 3t ... I think you meant to put pi just over 3

Just plug in 5 assuming t is time in hours.  

Evaluate 4 *cos(pi/3 *5)+15

which is  17 ft

The height of tower after 5 hours is 17.68 feet.

The graph of the cosine function looks like this: The domain of the function y=cos(x) is all real numbers (cosine is defined for any angle measure), the range is −1≤y≤1 .

The Cosine function :  f(t) = 4 cos(π/3t) + 15

and,  f(t) = 4 cos(2kπ + π/3t) + 15

where k= 0,1,2,3....

The range of cosine function is : Maximum= +1 and minimum= -1

At t=0,

For maximum, f(t)= 4 x1 +15

   = 19 feet

For minimum, f(t) =  4 x(-1)+15

                            = 11 feet

After , 6 hours ,the tide function is: 6 n=5

                                                          n= 6/5

f(t) = 4 cos ( 2* [tex]\frac{5* \pi}{6}[/tex] + [tex]\frac{\pi}{3*5}[/tex] ) +15

    = 4 cos (26 π/15) + 15

    = 4 cos[tex]312^{0}[/tex] + 15

   = [tex]4 cos 48^{0}+ 15[/tex]

   = 4 x 0.6691 +15

  = 17.68 feet.

Thus, the height of tower after 5 hours is 17.68 feet

Learn more about concept here:

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Answer:

50.24

Step-by-step explanation:

area of a circle =pi r^2

diameter = 2 * radius

radius=8/2=4

area=pi 4^2

=pi 16

=50.26

Answer:

(3.01%, 14.77%)

Step-by-step explanation:

The confidence interval of a proportion is:

CI = p ± SE × CV,

where p is the proportion, SE is the standard error, and CV is the critical value (either a t-score or a z-score).

We already know the proportion: 8/90.  But we need to find the standard error and the critical value.

The standard error is:

SE = √(p (1-p) / n)

SE = √((8/90) * (82/90) / 90)

SE = 0.03

To find the critical value, we must first find the alpha level and the degrees of freedom.

The alpha level for a 95% confidence interval is:

α = (1 - 0.95) / 2 = 0.025

The degrees of freedom is one less than the sample size:

df = n - 1 = 90 - 1 = 89

Since df > 30, we can approximate this with a normal distribution.

If we look up the alpha level in a z score table, we find the z-score is 1.96.  That's our critical value.  CV = 1.96.

Now we can find the confidence interval:

CI = 8/90 ± 0.03 * 1.96

CI = 0.0889 ± 0.0588

CI = (0.0301, 0.1477)

So we are 95% confident that the percent of patients who had their teeth whitened is between 3.01% and 14.77%.

Answer:

Option A

53.5

Step-by-step explanation:

Answer:

The mean is equal to the median, so the data is symmetrical

Step-by-step explanation:

Here is the data.

10 5 8 10 12 6

8 10 15 6 12 18

The given data:   10   5   8   10   12   6   8   10   15   6   12   18

For finding the Mean, we will have to add all numbers together and divide it by total number. i.e sum of terms divided by number of terms  

Mean= 10+5+8+10+12+6+8+10+15+6+12+18  ÷ 12

Mean = 120 ÷ 12 = 10        

For finding the Median, first we need to rearrange the data in ascending order

5   6   6   8   8   10   10   10   12   12   15   18

We can see that the middle values are 10 and 10. So, the median will be the average of those two middle values.

Median = 10+10 ÷ 2

Median = 20 ÷ 2 = 10

From the calculation, we can see that both the median and mean are equal so, the data is symmetrical  

Answer: 0 ≤ t ≤ 40

Step-by-step explanation:

0 and 40 are included in all 3 number lines.

Answer:

The answer is below

Step-by-step explanation:

Answer:

The residual e=2 when x = 5.

Step-by-step explanation:

A scatter plot containing the point (5, 29), it means the observed value at x=5 it 29.

The given regression equation is

[tex]\hat{y}=5x+2[/tex]

Substitute x=5 in the above regression equation, to find the predicted value at x=-5.

[tex]\hat{y}=5(5)+2=25+2=27[/tex]

The formula to find the residual value e is

e = Observed value - Predicted value

[tex]e=29-27[/tex]

[tex]e=2[/tex]

Therefore the residual e=2 when x = 5.

Answer:

  B. a three-quarter circle of radius 18 ft, quarter circles of radii 10 ft and 6 ft

Step-by-step explanation:

A diagram can be a useful aid to answering this question. At one corner of the shed, 8 ft of rope is no longer available, so the quarter circle has a radius of 18-8 = 10 ft. (That side of the shed is 12 ft, so the area is only a quarter circle.)

At the other corner of the shed, 12 ft of rope is no longer available, so the quarter circle has a radius of 18-12 = 6 ft. (That side of the shed is 8 ft, so the area is only a quarter circle.)

In the attached diagram, the 3/4 circle with radius 18 ft is shown red, and the quarter circles are shown in green.

Answer:

$3735

Step-by-step explanation:

The formula for simple interest is I = Prt, where I is the interest earned, P is the initial investment, r is the interest rate in decimal form, and t is the time in years.  We have everything we need to find the interest, which is the amount your investment earned while it sat there for 7 years.  Once we find that interest amount, we will add it to the intial investment to find the total amount after 7 years that your money has grown to.

I = 3000(.035)(7) so

I = 735

3000 + 735 = 3735

Answer:

$3,630

Step-by-step explanation:

You invest $3,000 in an account at 3.5% per year simple interest.

We have to calculate the amount in the account at the beginning of the 7th year. This means we have to calculate the interest for completed 6 years.

Formula for simple interest

A = P(1+rt)

A = Amount after maturity

P = Principal amount ( 3,000)

r = rate of interest in decimal ( 0.035)

t = time in years ( 6 )

Now we put the values in to formula

A = 3,000(1 + 0.035 × 6)

A = 3,000 ( 1 + 0.021 )

A = 3,000 × 1.21

A = $3,630

The amount would be $3,630 at the beginning of the 7th year.

Answer:

I got  65

Step-by-step explanation:

The profit will be given as:

P=$15x−$225  

(where we subtracted the cost of the mower) so that  P=$750

x will be the required number of needed lawns.

We need to solve:

$750=$15x−$225  

rearranging:

x=$750+$225 /  $15  =65  lawns

Define a variable and write an inequality to represent earning a specific profit in a lawn-mowing business.

Define variable:

Let x represent the number of lawns mowed.

Write inequality:

The inequality is 15x - 225 ≥ 750, where 15x is the amount earned, 225 is the cost of the lawnmower, and 750 is the desired profit.

Answer:

Step-by-step explanation:

- 5 + (-3) + 3 is the correct option.

Answer:

-5 + (-3) + 3

Step-by-step explanation:

Answer:

the first function, y = (x + 1)^2, does pass through the points (1, 4), (2, 9), and (3, 16).

Step-by-step explanation:

Note that 4, 9 and 16 are squares of 2, 3 and 4.  So it's likely that the parent function is of the form f(x) = x^2.  Note that f(1) = 1, f(2) = 4, f(3) = 9 and f(4) = 16.

Let's now determine whether these three points satisfy the first given equation, y = (x + 1)^2:  Does 4 = (1 + 1)^2?  Does 4 = 2^2?  YES.

Does 9 = (2 + 1)^2?  Does 9 = 3^2?  YES

Does 16 = (3 + 1)^2?  YES

So the first function, y = (x + 1)^2, does pass through the points (1, 4), (2, 9), and (3, 16).

Final answer:

The detailed answers cover questions related to functions, sequences, equations of lines, slopes, and graphing lines.

Explanation:

Question 1:

The function that passes through the points (1, 4), (2, 9), and (3, 16) is y = (x + 1)^2.

Question 2:

The equation representing the total number of laps swum y in terms of hours x is y(x) = 10x + 1.

Question 3:

The sequence {4, 2, 0, -2, -4, -6, …} is an arithmetic sequence with a common difference of -2.

Question 5:

The slope of the line containing (3, 5) and (2, 7) is m = -2.

Question 6:

For a line passing through (-3, 2) with a slope of 4, the equation of the line is y = 4x + 14.

f(x) = 2(x+8)

replace f(x) with 12 and then solve for x:

12 = 2(x +8)

Use the distributive Property on the right side:

12 = 2x +16

Subtract 16 from each side:

-4 - 2x

Divide both sides by 2:

x = -4 / 2

x = -2

Answer:

−2

Step-by-step explanation:

f(x) = 2(x+8)

f(x) = 12

12 = 2(x+8)

Divide each side by 2

12/2 = 2/2(x+8)

6 = x+8

Subtract 8 from each side

6-8 =x+8-8

-2 = x

Answer:

8 years

Step-by-step explanation:

Answer:

she will be at the company for 8 years.

Step-by-step explanation:

The number of days of vacation for each year = 3

Maryanne is employed up to a maximum of 24 days of vacation time.

We need to find the number of years she will be in the company before she reaches the maximum amount of vacation of time.

The number of years she will be in the company = The number of maximum days of vacation time divided by the number of days of vacation for each year

= [tex]\frac{24}{3}[/tex]

= 8 years

Therefore, she will be at the company for 8 years.

Answer: the coefficient of 13m is 13.

Answer:

The coefficient of 13 m is 13.

Step-by-step explanation:

Consider the provided expression.

[tex]13m[/tex]

Numbers appear with variables are called coefficients.

Alphabets in an expression are called variables.

Numbers appear without variables are called Constant terms.

Here we need to identity the coefficient.

From the above definition we know the number appear with the variables are coefficients.

Since m is variable, thus the number 13 must be the coefficient.

Hence, the coefficient of 13 m is 13.

Answer:

Thehe answer is 75

Step-by-step explanation:

Answer with Step-by-step explanation:

The length of a rectangle is 3 meters more than the width.

If the width is b.

⇒ Length=b+3

The perimeter of the rectangle is 26 meters.

Since, Perimeter=2(Length+width)

⇒ 2(b+3+b)=26

dividing both sides by 2

⇒ b+3+b=13

⇒ 2b=13-3

⇒ 2b=10

dividing both sides by 2

⇒ b=5

⇒ Width=5 meter

and Length=5+3=8 meter

Answer:

see explanation

Step-by-step explanation:

To evaluate the expression for the given values.

Substitute the given values for x into g(x)

a

g(0) = 3(0)² - 4(0) + 3 = 0 - 0 + 3 = 3

b

g(- 1) = 3(- 1)² - 4(- 1) + 3 = 3 + 4 + 3 = 10

c

g(2) = 3(2)² - 4(2) + 3 = 12 - 8 + 3 = 7

d

g(- x) = 3(- x)² - 4(- x) + 3 = 3x² + 4x + 3

e

g(1 - t)

= 3(1 - t)² - 4(1 - t) + 3

= 3(1 - 2t + t²) - 4 + 4t + 3

= 3 - 6t + 3t² - 4 + 4t + 3

= 3t² - 2t + 2

For this case we have that by definition:

[tex](a + b) (c + d)[/tex] is equal to:

[tex]ac + ad + bc + bd[/tex]

Applying the distributive property.

Then, it can be seen that the given binomials were multiplied correctly.

ANswer:

There is no error; the binomials were correctly multiplied together.

Answer:

[tex]\large\boxed{b.\ x=\dfrac{14}{27}\ \text{and}\ c.\ x=2}[/tex]

Step-by-step explanation:

[tex]4|5-5x|=7x+6\\4|-5(x-1)|=7x+6\\4|-5||x-1|=7x+6\\(4)(5)|x-1|=7x+6\\20|x-1|=7x+6\\\\\text{First step:}\\\text{Based on the de}\text{finition of the absolute value}\\\\|x-1|=\left\{\begin{array}{ccc}x-1&\text{for}\ x\geq1\\1-x&\text{for}\ x<1\end{array}\right\\\\\text{Let}\ x<1\to x\in(-\infty,\ 1).\ \text{Then}\ |x-1|=1-x:\\\\20(1-x)=7x+6\qquad\text{use the distributive property}\\20-20x=7x+6\qquad\text{subtract 20 from both sides}\\-20x=7x-14\qquad\text{subtract}\ 7x\ \text{from both sides}\\-27x=-14\qquad\text{divide both sides by (-27)}\\x=\dfrac{14}{27}<1\qquad \bold{:)}[/tex]

[tex]\text{Let}\ x\geq0\to x\in\left<1,\ \infty\right).\ \text{Then}\ |x-1|=x-1:\\\\20(x-1)=7x+6\qquad\text{use the distributive property}\\20x-20=7x+6\qquad\text{add 20 to both sides}\\20x=7x+26\qquad\text{subtract}\ 7x\ \text{from both sides}\\13x=26\qquad\text{divide both sides by 13}\\x=2\geq1\qquad \bold{:)}[/tex]

Answer:

Acute

Step-by-step explanation:

7² + 9² ? 11²

49 + 81 ? 121

130 is greater than 121, so it is an acute triangle

Answer:

Dividend

Step-by-step explanation:

If you take a simple division problem like A = B / C

A is the quotient (result)

B is the dividend

C is the divisor

So, a number by which another number is to be divided is called a dividend, like A in the example above.

If C doesn't divide B in an exact manner (like in the case of 7 / 2), there's a remainder for the operation.

A divisor is a number by which another number, the dividend, is divided. In scientific notation, division involves dividing the coefficients and subtracting the exponents of the divisor from the dividend. Division is fundamentally related to multiplication, as it can be represented by multiplying by a reciprocal.

Answer:

1,800 bricks are needed

Step-by-step explanation:

First convert the Length and width of the sidewalk into inches

Entire Sidewalk: L= 100x12 =1200in and W= 4 x 12 = 48in

Then we know Area = LxW, so we will do this for both the sidewalk and the brick.

Area of sidewalk: 1200 x 48 = 57600

Bricks ( no need to convert since the measurements are already in inches): 8 x 4 = 32

Now we will divide the area of the entire sidewalk by the area of a single brick to find out how many bricks you need to complete the whole sidewalk:

57600/32= 1,800 bricks

Answer:2/3

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

one way we can solve this is by making a tree  using H for heads and T for tails

since it can land H or T, we put them down like this. then we can get H or T again because its a coin, so we put that under each letter. finally we do the same thing again to get 8 possibilities. now we can count how many of them was HHH, which is one

         H              T

         /  \            /   \

       H   T         H   T

      /\     /\        /\    /\

    H T H T     H T H T

    ^      this one

or do 2 x 2 x 2 because there are 2 possibilities each three times

Answer:

4.4, 4.4 : 1, 22 : 5

Step-by-step explanation:

There are many ways to solve this, but I'll do it by finding the ratio between V'T' and VT.

That's easy, we're given the lengths of these two. The ratio would be 8.8/2. 8.8/2 = 4.4, or (8.8*5)/(2*5) = 22/5

put simply, the volume of a rectangular prism is just the product of all its 3 dimensions.

[tex]\bf V=\cfrac{2}{3}\cdot \cfrac{1}{3}\cdot \cfrac{2}{3}\implies V=\cfrac{4}{27}[/tex]

Answer:

1. no like terms

2. x^ 3 − x^ 2 − x + 1

3.x y + x + y + 1

4.x^ 3 + x^ 2 y + x y^ 2 + y^ 3

Lol

Answer:

  8√2

Step-by-step explanation:

The hypotenuse of a right triangle is √2 times the leg length, so you have ...

  [tex]x\sqrt{2}=16[/tex]

Dividing by the coefficient of x gives ...

  [tex]x=\dfrac{16}{\sqrt{2}}=\dfrac{16\sqrt{2}}{\sqrt{2}\cdot\sqrt{2}}=8\sqrt{2}[/tex]

Each leg has length 8√2.

Answer:

[tex]y=\tan x[/tex]

Step-by-step explanation:

The trigonometric function that needs a domain restriction of [tex][-\frac{\pi}{2},\frac{\pi}{2} ][/tex] to make it invertible is [tex]y=\tan x[/tex].

The function [tex]y=\tan x[/tex] will pass the horizontal line test on this interval therefore making it an invertible function on this interval.

This explains why the inverse tangent function, [tex]y=\tan^{-1} x[/tex] has range [tex][-\frac{\pi}{2},\frac{\pi}{2} ][/tex].

Answer:

A) [tex]f(x)=sin x[/tex]

Step-by-step explanation:

I just did the test and this was the correct answer.  

Answer:

  [tex]\text{D.}\quad d=\dfrac{206-8(10)}{7}[/tex]

Step-by-step explanation:

The total length of the space between rungs is the overall length less the width of 8 rungs, so is 206 -8(10). That space is divided into 7 equal parts, as shown by the equation in choice D.

_____

Choice A looks similar, but is not. In that equation, only the term 8(10) is divided by 7. You want the difference to be divided by 7, so must have a grouping symbol of some kind. Choice D uses the division bar to group the terms of the numerator. Parentheses would work, too, as in ...

  d = (206 -8(10))÷7

but without them, the equation is incorrect.