In the figure below, which term best describes point L?

Answer:

RA

Step-by-step explanation:

Answer:

Angle 2= 45

Angle 3= 45

Angle 4= 135

Angle 5= 135

Angle 6= 45

Angle 7= 45

Angle 8= 135

Answer:

x = 8.9 units

Step-by-step explanation:

We will use the theorem of intersecting tangent and secant segments.

"If secant and tangent are drawn to a circle from an external point, the product of lengths of the secant and its external segment will equal the square of the length of tangent."

8(8 + 2) = x²

x² = 80

x = √80

x = 8.944

x ≈ 8.9 units

Therefore, length of the tangent = 8.9 units

Answer:

12345824.4

Step-by-step explanation:

I'm not really sure. I just did 1240x637x15.63=12345824.4

answer:

53,445.1 gallons of water

Step-by-step explanation:

im not exactly sure but i looked up how to calculate gallons in a container and the website i went to told me to measure the interior length, width, and height which was already done, then it told me to multiply the length by width by height to get the volume of the container then it told me to divide the volume by 231 to get the number of gallons in the container, so 1,240* 637= 789,880* 15.63= 12,345,824.4÷231= 53,445.127272727272727272727272727 which rounded to the nearest tenth is 53,445.1, i honestly hope that this is right and that it helps

Answer:

It will take 18,569.2 years for carbon–14 to decay to 10 percent of its original amount

Step-by-step explanation:

The amount of Carbon-14 after t years is given by the following equation:

[tex]A(t) = A(0)e^{-rt}[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Carbon–14 is a radioactive isotope that decays exponentially at a rate of 0.0124 percent a year.

This means that [tex]r = \frac{0.0124}{100} = 0.000124[/tex]

How many years will it take for carbon–14 to decay to 10 percent of its original amount?

This is t for which:

[tex]A(t) = 0.1A(0)[/tex]

So

[tex]A(t) = A(0)e^{-rt}[/tex]

[tex]0.1A(0) = A(0)e^{-0.000124t}[/tex]

[tex]e^{-0.000124t} = 0.1[/tex]

[tex]\ln{e^{-0.000124t}} = \ln{0.1}[/tex]

[tex]-0.000124t = \ln{0.1}[/tex]

[tex]t = -\frac{\ln{0.1}}{0.000124}[/tex]

[tex]t = 18569.2[/tex]

It will take 18,569.2 years for carbon–14 to decay to 10 percent of its original amount

Answer:

Step-by-step explanation:

Plug x as 2y-15 in the first equation and solve for y.

-5(2y-15)+4y=3

-10y+75+4y=3

-6y+75=3

-6y=-72

y=12

Plug y as 12 in the second equation and solve for x.

x=2(12)-15

x=24-15

x=9

Answer:

1800

Step-by-step explanation:

Hello,

First of all we need to find the prime factorisation of the numbers.

18 = 2 * 3 * 3

40 = 2 * 2 * 2 * 5

75 = 3 * 5 * 5

It means that the LCM should have 5 * 5 , 2 * 2 * 2 and 3 * 3

Then LCM = 3 * 3 * 2 * 2 * 2 * 5 * 5 = 1800

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

1800

Step-by-step explanation:

→ First of all we need to find the prime factorisation of the numbers.

18 = 2 × 3 × 3 or 2 × 3²

40 = 2 × 2 × 2 × 5 or 2³ × 5

75 = 3 × 5 × 5 or 5² × 3

→ Now find the number that appear twice or more and write them down

3 and 3 from 18

2, 2 and 2 from 40

5 and 5 from 75

→ Now multiply all of these numbers together

3 × 3 × 2 × 2 × 2 × 5 × 5 = 3² × 2³ × 5² = 1800

Correct question:

A motorcycle stunt rider jumped across the Snake River. The path of his motorcycle was given

approximately by the function H(t) = - 0.0004.x2 + 2.582 + 700, where H is measured in

feet above the river and is the horizontal distance from his launch ramp.

How high above the river was the launch ramp?

What was the rider's maximum height above the river, and how far was the ramp when he reached maximum height?

Answer:

A) 700 feet ; 4866.7025 feet above the river

3227.5 Feets from the ramp

Step-by-step explanation:

Given the Height function:

H(t) = 0.0004x^2 + 2.582x + 700

H = height in feet above the river

x = horizontal distance from launch ramp.

How high above the river was the launch ramp?

H(t) = - 0.0004x^2 + 2.582x + 700

To find height of launch ramp above the river, we set the horizontal distance to 0, because at this point, the motorcycle stunt rider is on the launch ramp and thus the value of H when x = 0 should give the height of the launch ramp above the river.

At x = 0

Height (H) =

- 0.0004(0)^2 + 2.582(0)+ 700

0 + 0 + 700 = 700 Feets

B) Maximum height abive the river and how far the rider is from the ramp when maximum height is reached :

Taking the derivative of H with respect to x

dH'/dx = 2*-(0.0004)x^(2-1) + 2.582x^(1-1) + 0

dH'/dx = 2*-(0.0004)x^(1) + 2.582x^(0) + 0

dH'/dx = - 0.0008x + 2.582

Set dH'/dx = 0 and find x:

0 = - 0.0008x + 2.582

-2.582 = - 0.0008x

x = 2.582 / 0.0008

x = 3227.5 feets

To get vertical position at x = 0

Height (H) =

- 0.0004(3227.5)^2 + 2.582(3227.5)+ 700

- 4166.7025 + 8333.405 + 700

= 4866.7025 feet

4866.7025 feet above the river

3227.5 Feets from the ramp

Using quadratic function concepts, it is found that:

The height after x seconds is given by the following equation:

[tex]H(x) = -0.0004x^2 + 2.582x + 700[/tex]

Which is a quadratic equation with coefficients [tex]a = -0.0004, b = 2.582, c = 700[/tex]

The height of the ramp is the initial height, which is:

[tex]H(0) = -0.0004(0)^2 + 2.582(0) + 700 = 700[/tex]

Thus, the launch ramp was 700 feet above the river.

The maximum height is the h-value of the vertex, given by:

[tex]h_{MAX} = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]

Then, substituting the coefficients:

[tex]h_{MAX} = -\frac{(2.582)^2 - 4(-0.0004)(700)}{4(-0.0004)} = 4866.7[/tex]

The maximum height is of 4866.7 feet.

The horizontal distance is the x-value of the vertex, given by:

[tex]x_V = -\frac{b}{2a} = -\frac{2.582}{2(-0.0004)} = 3227.5[/tex]

The ramp was 3227.5 feet along when he reached maximum height.

A similar problem is given at https://brainly.com/question/24705734

Answer:

x should equal 1

Step-by-step explanation:

(1*129)-3=126

129-3=126

126=126

Answer:

x=1

Step-by-step explanation:

We can start by adding 3 to both sides to get rid of the -3

That leaves us with 129x=129

It ends up working out really evenly because by dividing both sides by 129, we are left with x=1

Answer:

y = -4

Step-by-step explanation:

4x + 5y = -12 ....eq1

-2x + 3y = -16 ...eq2

From eq1, solve for x:

4x + 5y = -12

4x = -12 - 5y

x = -12 - 5y/4

From eq2, substitute value of x:

-2(-12-5y/4) + 3y = -16

3y - 2 (-5y-12/4) = -16

3y - 2(-5y-12)/4 = -16

12y - 2(-5y - 12) = -16

4*3y - 4*2(-5y-12)/4 = 4*(-16)

12y - 2(-5y-12) = -64

12y + 10y + 24 = -64 (divide both sides by common factor 2)

6y + 5y + 12 = -32

11y = -32 - 12

11y = -44

Divide both sides by 11

11y/11 = -44/11

y = -4

Step-by-step explanation:

a) The Roughly shape of the probability model is bell shaped or symmetric

( normal )

(b) Roughly, guess the center (mean) of the probability model

The mean is 5/10 =0.5

Because the symmetric distribution mean is middle bar and here we see using histogram 5/10 is mean .

(c) Argue that 1.5 is a good guess for the standard deviation of the probability model.

Yes 1.5 is very good guess because then it follow normal distribution it is exactly correct .

Answer:

Length of Shortest Side = 12 inches

Step-by-step explanation:

Length of Shortest Side = L = 3x

Length of Longest Side = W = 5x-4

Condition:

2L+2W = Perimeter

2(3x)+2(5x-4) = 56

6x+10x-8 = 56

16x-8 = 56

Adding 8 to both sides

16x = 56+8

16x = 64

Dividing both sides by 14

=> x = 4

Now,

Length of the Shortest Side = L = 3(4) = 12 inches

Length of the Longest Side = W = 5(4)-4 = 16 inches

Answer:

12 inches

Step-by-step explanation:

The length is the longest side.

The width is the shortest side.

Length : [tex]l=5x-4[/tex]

Width : [tex]w=3x[/tex]

Apply formula for the perimeter of a rectangle.

[tex]P=2l+2w[/tex]

[tex]P=perimeter\\l=length\\w=width[/tex]

Plug in the values.

[tex]56=2(5x-4)+2(3x)[/tex]

[tex]56=10x-8+6x[/tex]

[tex]56=16x-8[/tex]

[tex]64=16x[/tex]

[tex]4=x[/tex]

The shortest side is the width.

[tex]w=3x[/tex]

Plug in the value for x.

[tex]w=3(4)[/tex]

[tex]w=12[/tex]

Answer:

The factors are (4x-1) and (2x+3)

Step-by-step explanation:

The factors of 8x^2 + 10x -3 can be found by grouping terms

8x^2 - 2x  + 12x - 3

2x (4x -1)  + 3(4x-1)

(4x-1)(2x+3)

Answer:

x = -6

Step-by-step explanation:

3(x+4)-1=-7

Add 1 to each side

3(x+4)-1+1=-7+1

3(x+4)=-6  

Divide by 3

3/3(x+4)=-6/3

x+4 = -2

Subtract 4 from each side

x+4-4 = -2-4

x = -6

Answer:

Step-by-step explanation:

[tex]3(x + 4) - 1 = - 7[/tex]

Distribute 3 through the parentheses

[tex]3x + 12 - 1 = - 7[/tex]

Calculate the difference

[tex]3x + 11 = - 7[/tex]

Move constant to R.H.S and change it's sign

[tex]3x = - 7 - 11[/tex]

Calculate

[tex]3x = - 18[/tex]

Divide both sides of the equation by 3

[tex] \frac{3x}{3} = \frac{ - 18}{3} [/tex]

Calculate

[tex]x = - 6[/tex]

hope this helps

Best regards!!

Answer:

Option E

Step-by-step explanation:

y = x /3

let x = 1, 2, 3

y = 0.333, 0.667, 1

y = x/2 + 40

let x = 1, 2, 3

y = 40.5, 41, 41.5

y = x

let x = 1, 2, 3

y = 1, 2, 3

y = 2x + 50

let x = 1, 2, 3

y = 52, 54, 56

y = 3x - 20

let x = 1, 2, 3

y = -17, -14, -11

The standard deviation is the spread of data, the data that is most spread is option E.

Answer:

Step-by-step explanation:

The vertices of the already rotated triangle are:

D '(4, 4)

E '(1, 3)

F '(2, 1)

Answer:

D '(4, 4)

E '(1, 3)

F '(2, 1)

Step-by-step explanation:

Amplitude:4

Equation of Midline: 2

Period of function:3

Function shifted left:0.5

Function shifted up: 2

From the graphed cosine function we are given, we have;

1) Amplitude = 4

2) Equation of midline; m = 2

3) Period of the function = 3π

4) The function shifted 0.5 units left.

5) The function shifted 2 units up.

Read more; https://brainly.com/question/16280305

Answer: [tex]H_0:p=0.29[/tex]

[tex]H_a: p \neq0.29[/tex]

Step-by-step explanation:

A null hypothesis[tex](H_0)[/tex] is a type of statement used in statistics that proposes that there is no difference between particular characteristics of a population whereas the alternative hypothesis[tex](H_a)[/tex] proposes that there is a difference.

Let p be the population proportion of workers got their job through networking.

Given: 29% of workers got their job through networking.

i.e. [tex]H_0:p=0.29[/tex]

A researcher feels this percentage has changed.

i.e. [tex]H_a: p \neq0.29[/tex]

Hence, the required null and alternative hypotheses in symbolic form for this claim:

[tex]H_0:p=0.29[/tex]

[tex]H_a: p \neq0.29[/tex]

Answer:

Reject H0

Age and pressure are related

Step-by-step explanation:

The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. It is not necessary that all null hypothesis will be rejected at 10% level of significance. To determine the criteria for accepting or rejecting a null hypothesis we should also consider p-value. In the given scenario we reject the null hypothesis because job pressure and age are related to each other.

Answer:

false

Step-by-step explanation:

When solving the distance formula it is the distance from one point to another. If you had a rectangle and used the distance formula from each point then you would have a perimeter

Answer:

B. 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

You know that the empty barrel is 1/4 of the full barrel. Find 1/4 of 20 to get 0.25 x 20 = 5

Answer:

16 Years

Step-by-step explanation:

Complete question:

The line graph relating to the question was not attached. However, the line graph has can be found in the attachment below.

Answer:

17,209

Step-by-step explanation:

The line graph provides information about alcohol-related highway fatalities between year 2001 to 2010.

Determine the average number of alcohol-related fatalities from 2001 to 2006. Round to the nearest whole number.

The average number of alcohol related fatalities between 2001 - 2006 can be calculated thus :

From the graph:

Year - - - - - - - - - - Number of fatalities

2001 - - - - - - - - - - 17401

2002 - - - - - - - - -  17525

2003 - - - - - - - - -  17013

2004 - - - - - - - - - 16694

2005 - - - - - - - - - 16885

2006 - - - - - - - - - 17738

To get the average :

Sum of fatalities / number of years

(17401 + 17525 + 17013 + 16694 + 16885 + 17738) / 6

= 103256 / 6

= 17209.333

Average number of alcohol related fatalities is 17,209 (to the nearest whole number)

Answer:

90°

Step-by-step explanation:

Theres a right angke beside x

And Angles on a straight line = 180 so 180-90°= 90°

Answer:

90

Step-by-step explanation:

I looked it up on the internet

Answer:

0.5 seconds and 1.5 seconds.

Step-by-step explanation:

h(t) = -16t^2 + 32t + 2

14 = -16t^2 + 32t + 2

16t^2 - 32t - 2 + 14 = 0

16t^2 - 32t + 12 = 0

8t^2 - 16t + 6 = 0

4t^2 - 8t + 3 = 0

(2x - 3)(2x - 1) = 0

2x - 3 = 0

2x = 3

x = 3/2

x = 1.5

2x - 1 = 0

2x = 1

x = 1/2

x = 0.5

So, the ball was at 14 feet at 0.5 seconds and 1.5 seconds.

Hope this helps!

Answer:

C. 0.0009

Step-by-step explanation:

0.09/100

= 0.0009

Answer:A

Step-by-step explanation:0.09=0.9

Answer:

25

Step-by-step explanation:

We can use the Pythagorean theorem to solve

a^2 + b^2 = c^2

We know the two legs and want to find the hypotenuse

15^2+ 20 ^2 = c^2

225 + 400 = c^2

625 = c^2

Taking the square root of each side

sqrt(625) = c^2

25 = c