find the y intercept of the line on the graph

By Pythagorean theorem we find that the length of the hypotenuse is [tex]r = \sqrt{2}\cdot l[/tex].

In the image attached we have a right triangle with two legs of same length. The hypotenuse of right triangles can be found by Pythagorean theorem, whose form is:

[tex]r = \sqrt{l^{2}+l^{2}}[/tex]

[tex]r = \sqrt{2}\cdot l[/tex], where l is the length of the legs.

By Pythagorean theorem we find that the length of the hypotenuse is [tex]r = \sqrt{2}\cdot l[/tex].

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Using your own examples, explain why all statements are sentences but not all sentences are statements. Clearly indicate which type of non-statement you have used in each case. (Your response should be between 500 and 600 words).

Answer:

0.285714 -> 0.29

Step-by-step explanation:

The value of c is 5 when we simplify the  logarithmic equation              log(-c) + log8= log (7c-75). This can be obtained using the properties of the logarithm.

Given that,

log(-c) + log8 = log (7c-75)

log (-8c) = log (7c-75)  (∵ log a + log b = log ab)

- 8c = 7c - 75              

(8+7)c = 75

15c = 75

⇒ c = 5

Hence the value of c is 5 when we simplify the  logarithmic equation              log(-c) + log8= log (7c-75).

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Answer:

30000J or 30 KJ

Step-by-step explanation:

Formula for finding Gravitiational Potential Energy or GPE = mgh (or Wh since W = mg)

Given

W = 100N

h = 300m,

GPE = Wh = 100 x 300 = 30000J or 30 KJ

IfIf AD BD, the following relationships that can be proved and why is: D. ΔACD ΔBCD, because of SAS.

The relationship that can be proved is ΔACD ΔBCD, because of SAS.

The reason is that m<CDA=M<CDB=90°

CD=CD

AD=BD

Hence, ΔACD=ΔBCD because of SAS. SAS congruence can tend to be proved when the length of the two side correspond and when  the angle between the two side is equal.

Therefore the correct option is D.

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Answer:

$7128.80

Step-by-step explanation:

First, create an equation.

Use the formula f(t)=P(1+b)^t

Plug in the information.

Time will equal months.

f(12)=5000(1+0.03)^12

Solve.

f(12) = 7128.80

Myron was left with $7128.80.

Hope this helps!

The diagram where angles 1 and 2 form a linear pair is D. A horizontal line has 1 line extending from it. Angles 1 and 2 are formed.

It should be noted that a linear pair simply means angles that are formed when two lines intersect each other at a single point.

In this case, when a horizontal line has 1 line extending from it. Angles 1 and 2 are formed. This depicts a linear pair

In conclusion, the correct option is D.

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Answer:

Khan Academy.

Step-by-step explanation:

You can go on khan academy and search up "percentages and numbers." The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.

Answer: I would go with 3/5, the person who said 7/20 doesn't have any thank you's or ratings besides themselves while 3/5 has thank you's , and confirmation

Step-by-step explanation:

Answer:

y = 27

Step-by-step explanation:

The given are two similar triangles.

We can use the following equation to find the variables:

[tex]\frac{y-3}{32} = \frac{18}{24}[/tex]

Cross multiply fractions

32*18 = 24(y-3)

576 = 24y - 72

add 72 to both sides

648 = 24y

divide both sides by 24

27 = y

Answer: 3/7

Step-by-step explanation:

To get 14 liters of antifreeze solution, add 14 - x liters of the solution

From the question, we are to determine how many liters should be added to the solution

From the given information,

We are to get 14 liters of antifreeze solution,

and

we already have x liters of the solution

To get 14 liters of antifreeze solution, we will add 14 - x liters of the solution

Hence, to get 14 liters of antifreeze solution, add 14 - x liters of the solution

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Yes, the non-violent, civil disobedience tactics used by civil right leaders were effective to a great extent at creating change and ending injustice.

How were the civil disobedience tactics effective?

Martin Luther King, Jr.'s and other civil right leaders' leadership and vision were shaped by their steadfast faith in the efficacy of nonviolence and civil disobedience. Although it permitted civil rights protesters to avoid harsher legal penalties, it also had a deeper significance. America only learned about the effectiveness of nonviolent protest as a result of the work of Martin Luther King, Jr. and his civil disobedience allies.

Civil Disobedience Tactics

The Civil Rights Act of 1964 and the Voting Rights Act of 1965 were primarily made possible thanks to King. The Civil Rights Act outlawed discrimination on the basis of "race, color, religion, or national origin" in the workplace and in public places. African Americans' right to vote is safeguarded by the Voting Rights Act.

Inspired by Gandhi, King and other non-violent leaders, utilized civil disobedience to pressure governments to change. It manifested as widespread, nonviolent defiance of official orders. Civil disobedience is the act of refusing to comply with governmental orders or demands and remaining unaffected by the arrest and punishment that may follow.

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Answer:

d33z3 n0ts divided by ur m0m square root that x10 then divide by your d3pression.

Step-by-step explanation:

gotem

The area bounded by the curve, x-axis and y-axis of the function y = √(x + 3) is 2√3

The curve is given as:

y = √(x + 3)

The area bounded by the curve, x-axis and y-axis is when x = 0 and y = 0

When y = 0, we have:

0 = √(x + 3)

This gives

x = -3

So, we set up the following integral

A = ∫ f(x) d(x) (Interval a to b)

This gives

A = ∫ √(x + 3) d(x) (Interval -3 to 0)

When the above is integrated, we have:

A = 1/3 * [2(x + 3)^(3/2)] (Interval -3 to 0)

Expand

A = 1/3 * [2(0 + 3)^3/2 - 2(-3 + 3)^3/2]

This gives

A = 1/3 * 2(3)^3/2

Apply the law of indices

A = 2(3)^1/2

Rewrite as:

A = 2√3 or 3.46

Hence, the area bounded by the curve, x-axis and y-axis of the function y = √(x + 3) is 2√3

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Answer:

Question 2: 4 1/2

Question 10: $7.24

Step-by-step explanation:

Question 2:

1 1/2/x = 3/9

to solve for x, we need to use 1 1/2/x and multiply it by x:

1 1/2/x * x

then we need to have 3/9 multiplied by x:

3/9 * x

this is equal to 1 1/2 = 3/9 * x

now you need to multiply both sides by the opposite of 3/9 = 9/3

3/2 * 9/3 = 3/9 * 9/3 * x which equals 9/2 = 4 1/2

final answer: 4 1/2

Question 10:

Jeff bought 3 boxes of cereal $2.99 each which comes up to $8.97,

he bought one gallon of milk for $4.98,

and 4 bananas for $0.50 each which in total is $2.00.

total amount spent: 8.97 + 4.98 + 2.00 = $15.95

We know there is a 20% off discount so what we have to do is take 20% off $15.95!

20%= $3.19

15.95 - 3.19 = 12.76

The total is now $12.76. But, Jeff payed with a $20.00 bill. Because of this, he will get $7.24 back. 12.76 + 7.24 = 20

Final answer: $7.24

The calculated probabilities are

Probability = 60/110

= 0.5455

probability = 65/110

= 0.5909

Probability = 30/65

= 0.4615

25/45

= 0.5556

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Answer:

76,200 mm

Step-by-step explanation:

1 meter = 1000 mm, by definition.  Make that a conversion factor:

(1 meter)/(1000 mm), or (1000 mm)/(1 meter).  Both are equal to 1, since 1 meter = 1000 mm.  We can multiply anything by 1, so take the original measurement of length of 76.2 meters, and multiply it by (1000 mm)/(1 meter).

(76.2 meters)*((1000 mm)/(1 meter)) = 76,200 mm.  The meters cancels, leaving just mm, the desired unit.

Answer:

volume = 840 cubic cm

(3.2/100)×840= 26.88 per day

after 4 days = 26.88×4=107.5

answer is 107.5

The volume (in cubic centimeters) after 4 days, given that the initial volume of the ball was 840 cubic centimeters, is 732.5 cubic centimeters

First, we shall determine the volume lost per day. Details below:

Volume lost per day = 3.2% × Initial volume

= 3.2% × 840

= (3.2 / 100) × 840

= 26.88 cubic centimeters

Now, we shall obtain the volume after 4 days. Details below:

Volume after 4 days = Initial volume - Volume lost in 4 days

= 840 - 107.52

= 732.5 cubic centimeters

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Answer:

Step-by-step explanation:

hello :

A) X=In(125)

Here is the completed table:

                                                           Plays a sport      Doesn't play a sport

Plays a musical instrument                  0.46                         0.54

Doesn't play a musical instrument       0.73                          0.27

Relative frequency measures how often a value appears relative to the sum of the total values.

                                                    Plays a sport              Doesn't play a sport

Plays a musical instrument              (6/13)  = 0.46                   (7/13)  = 0.54

Doesn't play a musical instrument       (8/11) 0.73                       (3/11) =0.27

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The volume of the igloo is 523.43 m^3

We know that the volume of a sphere of radius R is:

[tex]V = (4/3)*pi*R^3[/tex]

Where pi = 3.14

Then the volume of a hemisphere is half of that.

In this case, we have a hemisphere with a radius of 6.3m, then the volume will be:

[tex]V = (1/2)*(4/3)*3.14*(6.3m)^3 = 523.43 m^3[/tex]

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It is a good practice for a server or bartender to not take patrons' drink orders too quickly

A bartender a person who prepares or serves alcoholic and some non-alcoholic beverages from behind a bar.

Below are some of the duties or responsibilities of a bartender:

So therefore, it is a good practice for a server or bartender to not take patrons' drink orders too quickly

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1 ) 6

2) 6

3) -2

4) 2

5) -2

6) 2

20 terms on the right side of the given equation [tex]20=20+18+16+...+x[/tex].

The first n terms of the arithmetic sequence are added together to form the sum of the first n terms of AP.

Therefore, we can only evaluate the sum of n terms in a sequence if we are aware of the type of sequence it is. Usually, when calculating the sum of an n-number of terms, we take into account arithmetic progression. The common distinction between each following term and each preceding term remains unchanged throughout this progression. Natural numbers are an illustration of Arithmetic Progression, where the common difference is 1. We must therefore be familiar with the formula in order to calculate the sum of natural numbers.

We can use formula for sum of n terms-

[tex]S = \frac{n}{2}(2a + (n-1)d)[/tex]

where, S- sum of n terms

n- number of terms

a- first term

d- difference between two consecutive terms

Here, S= 20 , a = 20, d= -2

we have to find n,

[tex]S = 20 = \frac{n}{2}(2(20) + (n-1)(-2)) \\20 = \frac{n}{2}(40-(2n-2))\\40 = n(40-2n+2)\\40 = 42n-2n^2\\2n^2 -42n +40 = 0[/tex]

solving this quadratic equation-

[tex]2n^2 -42n +40 = 0\\2n^2 -40n-2n+40=0\\2n(n-20)-2(n-20) = 0\\(2n-2)(n-20)=0[/tex]

when,

[tex]2n-2 = 0\\n=1[/tex]

When,

[tex]n-20=0\\ n=20[/tex]

as we can see that there are more than 1 terms present in the series so answer will be 20 terms.

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Using sampling concepts, it is found that:

a) The best method is: 25 adult residents are randomly selected from the city;

b) The estimate is that 11,536 adults voted in the election.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, the sample will be representative if all adults, no matter if senior or not, homeowners or not are represented, hence the best method is:

25 adult residents are randomly selected from the city;

The estimate of the number of adults that voted is:

14/25 x 20,600 = 11,536.

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Answer,

Leaves from home=22:15hour

get to destination=4:00hour

time taken on a journey,

from time 22:15hour to 24:00hour=2:45hour and,

time is taken form 22:00hour to 4:00hour=4:00hour
So, the total time taken to reach the destination is 2:45+4:00=6:45hour

Answer:

? = 3

Step-by-step explanation:

given a line parallel to a side of the triangle and intersecting the other 2 sides, then it divides those sides proportionally , that is

[tex]\frac{?}{6}[/tex] = [tex]\frac{2}{4}[/tex] ( cross- multiply )

4? = 12 ( divide both sides by 4 )

? = 3

Answer:

3

Step-by-step explanation:

Because the triangles are similar

6/4 = (?+6)/(2+4)

6/4 = (?+6)/6

Cross multiply

36 = 4?+24

4?=12

?=3

Answer:

  ₹168 per hour

Step-by-step explanation:

The hourly rate at which Tamara is paid can be found by dividing her ₹1050 pay by the 6:15 hours that she worked.

We know there are 60 minutes in an hour, so the fraction of an hour represented by 15 minutes is ...

  (15 min)/(60 min/h) = (15/60) h = 1/4 h = 0.25 h

Added to the 6 whole hours Tamara worked, her pay is for 6.25 hours.

The pay per hour is found by dividing pay by hours.

  ₹1050/(6.25 h) = ₹168/h

Tamara's hourly rate of pay is ₹168 per hour.