EASY question will rate brainliest no explanation neccesary

EASY Question Will Rate Brainliest No Explanation Neccesary

Answers

Answer 1

Answer: choice A

Step-by-step explanation:

the shaded parts add up to 4wholes and 1/4

or 17/4=4 1/4

Answer 2
the answer to your question is 4 1/4

Related Questions

Justin and Hayley conducted a mission to a new planet, Planet X, to study arm length. They took a random sample of 100 Planet X residents. Then they calculated a 95% confidence interval for the mean arm length.

Answers

Answer:

The correct answer is I am 95% sure that this interval includes the population mean arm length.

Note: Kindly find an attached image or copy of the complete question to this solution below:

Sources: The complete question was researched from Quizlet and Course hero sites.

Step-by-step explanation:

Solution

From the given question, i will say that I am 95 % confident interval that this interval include the population mean arm length is correct because using sample mean and confidence level we can obtain an interval which gives us the certain level of confidence that population mean is within this interval and here we are 95% confident that population mean is within this interval.

State whether the growth (or decay) is linear or exponential, and answer the associated question.
The value of a house is increasing by $1500 per year. If it is worth $120,000 today, what will it be worth in three
years?​

Answers

Answer:

The growth is linear.

It will be worth $124,500 in three years.

Step-by-step explanation:

The value of a house is increasing by $1500 per year.

Fixed increase, that is, each year the value increases the same. So the growth is linear.

Value after t years:

The equation has the following format:

[tex]V(t) = V(0) + a*t[/tex]

In which V(0) is the current value and a is the yearly increase.

The value of a house is increasing by $1500 per year. It is worth $120,000 today.

Then [tex]V(0) = 120000, a = 1500[/tex]

So

[tex]V(t) = V(0) + a*t[/tex]

[tex]V(t) = 120000 + 1500*t[/tex]

What will it be worth in three years?​

This is V(3).

[tex]V(t) = 120000 + 1500*t[/tex]

[tex]V(3) = 120000 + 1500*3[/tex]

[tex]V(3) = 124500[/tex]

It will be worth $124,500 in three years.

The growth is linear. The worth of the house after 3 years from now will be $124500.

Given information:

The value of a house is increasing by $1500 per year.

It is worth $120000 today.

The value of the house increases at a fixed rate of $1500 per year. So, it is a linear growth function.

Let the worth of the house after t years be V. The given situation can be written in equation form as,

[tex]V=V_0+rt\\V=120000+1500t[/tex]

Above equation represents the worth of house after t years.

So, the worth of the house after 3 years will be calculated as,

[tex]V=120000+1500t\\V(3)=120000+1500\times 3\\V(3)=120000+4500\\V(3)=124500[/tex]

Therefore, the worth of the house after 3 years from now will be $124500.

For more details, refer to the link:

https://brainly.com/question/24972665

What is the next term of this sequence? -5, 5, -6, 6, -7, 7, -8, ..

Answers

Answer:

8

Step-by-step explanation:

There are two series in one

-5, -6, -7, -8, ...

and

5, 6, 7,  and 8 is the next term

if you’re good with set theory and word problems in math 30 please help with questions 42 and 43 !! real answers only !!

Answers

Answer: 42) 2, 3       43) 144

Step-by-step explanation:

42)

1. n(P) = 8 + 5 = 13 (not 8)                           This statement is False.

2. n(Q but not P) = 9                                   This statement is True!

3. n(neither P nor Q) = 2                             This statement is True!

4. n(Q') --> (n (not Q) = 8 + 2 = 10 (not 8)    This statement is False.

5. P ∪ Q = 8 + 9 - 5 = 12 (not 5)                   This statement is False.

43)

Fill in the Venn Diagram as follows (from left to right):

     M only = 55           --> 89 - (17 + 4 + 13) = 55

       M ∩ E = 17           --> 30 - 13 = 17

       E only =  5            --> 46 - (17 + 13 + 11) = 5

       B ∩ M =  4             --> 17 - 13 = 4

M ∩ E ∩ B = 13           --> given

        B ∩ E = 11             --> 24 - 13 = 11

      E only = 35           --> 63 - (13 + 4 + 11) = 35

(M ∪ E ∪ B)' = 4            --> given

         Total = 144

Find the slope of a line perpendicular to the graph of the equation. y = –8

Answers

The answer is easy the answer is -2

Answer:

undefined

Step-by-step explanation:

y = -8 is a horizontal line with a slope of zero

A line that is perpendicular is a vertical line, which has a slope of undefined

QUESTION 23 What does a BER of 10-5 mean? a. there will be no errors during transmission since the BER is so low b. does not mean anything unless associated with a transmission data rate (bit rate) c. there is a probability of one error for every 100,000 bits transmitted d. None of the above

Answers

Answer:

c. there is a probability of one error for every 100,000 bits transmitted

Step-by-step explanation:

What does a BER of 10-5 mean?

a. there will be no errors during transmission since the BER is so low b. does not mean anything unless associated with a transmission data rate (bit rate) c. there is a probability of one error for every 100,000 bits transmitted d. None of the above

BER is an abbreviation for bit error rate.

BER is the percentage of bits with errors divided by the total number of bits that have been transmitted, received or processed over a given time period.

The rate is typically expressed as 10 to the negative power.

BER is the digital equivalent to signal-to-noise ratio in an analog system.

In this case [tex]10^{-5}[/tex]  is the same as writing [tex]1 \times10^{-5}[/tex]  which means there is a probability of 1 error for every 100,000 bits transmitted.

What is the probability that the hand is a two of a kind? A two of a kind has two cards of the same rank (called the pair). Among the remaining three cards, not in the pair, no two have the same rank and none of them have the same rank as the pair. For example, {4♠, 4♦, J♠, K♣, 8♥} is a two of a kind.

Answers

Question:

A 5-card hand is dealt from a perfectly shuffled deck of playing cards.

What is the probability that the hand is a two of a kind?

A two of a kind has two cards of the same rank (called the pair). Among the remaining three cards, not in the pair, no two have the same rank and none of them have the same rank as the pair. For example, {4♠, 4♦, J♠, K♣, 8♥} is a two of a kind.

Answer:

P(two of a kind) = 42.3%

Step-by-step explanation:

The probability that the hand is a two of a kind is given by

P(two of a kind) = No. of ways to produce two of a kind/Total no. of ways to deal 5-hand cards

There are total 52 cards in a standard deck of playing cards.

Total number of ways to deal 5-card hand is given by

Total number of ways = ₅₂C₅

Total number of ways = 2595960

So there are 2595960 different ways of dealing 5-card hands

Now we will find out the number of ways to produce two of a kind.

The number of ways to select the rank of two matching cards is given by

Rank of matching cards = ₁₃C₁ = 13

Since the matching cards must be of same rank.

The number of ways to select the rank of remaining 3 cards is given by

Rank of remaining 3 cards = ₁₂C₃ = 220

Since the remaining ranks are now 12.

The number of ways to select the suits of two matching cards is given by

Suits of two matching cards = ₄C₂ = 6

The number of ways to select the suits of 1st non-matching card is given by

Suits of 1st non-matching card = ₄C₁ = 4

The number of ways to select the suits of 2nd non-matching card is given by

Suits of 2nd non-matching card = ₄C₁ = 4

The number of ways to select the suits of 3rd non-matching card is given by

Suits of 3rd non-matching card = ₄C₁ = 4

Finally, the probability is

P(two of a kind) = No. of ways to produce two of a kind/Total no. of ways to deal 5-hand cards

P(two of a kind) = (₁₃C₁ × ₁₂C₃ × ₄C₂ × ₄C₁ × ₄C₁ × ₄C₁) / ₅₂C₅

P(two of a kind) = (13 × 220 × 6 × 4 × 4 × 4) / 2595960

P(two of a kind) = 1098240/2595960

P(two of a kind) = 0.423

P(two of a kind) = 42.3%

A trip took you 5 hours and you traveled 283.5 miles. If you averaged 49 mph
for the first part of the trip and 60 mph for the 2nd part, how long did you drive
at each rate?

Answers

Answer:

1.5 hr and 3.5 hr

Step-by-step explanation:

Time in the first part= x

Time in the second part= 5 - x

49x+60(5-x)=283.549x+300-60x=283.511x=300-283.511x= 16.5x= 16.5/11x= 1.5 hrand5-x= 5-1.5= 3.5 hr

Assume that in a statistics class the probability of receiving a grade of A equals .30 and the probability of receiving a grade of B equals .30. The probability that a randomly selected student from this class will receive either an A or a B equals.
a. .09
b. .6
c. .9
d. .3

Answers

Answer:

Answer D is correct

Enter the y-coordinate of the solution. Round to the nearest tenth. 5x+2y=7 -2x+6y=9

Answers

Answer:

59/34

Step-by-step explanation:

5x+2y=7

-2x+6y=9

Multiply the top equation by 3:

15x+6y=21

Subtract the second equation from the first:

17x=12

x=12/17

Plug this back into one of the other equations to find y:

5(12/17)+2y=7

60/17+2y=7

2y=59/17

y=59/34

Hope this helps!

Evaluate 3(x - 1) + 2 when x= 5.
O A. 14
OB. 16
O c. 4
O D. 18

Answers

Answer:

A

Step-by-step explanation:

[tex]3(x-1)+2= \\\\3((5)-1)+2= \\\\3(4)+2= \\\\ 12+2=\\\\14[/tex]

Hope this helps!

Answer:

[tex]14[/tex]

Step-by-step explanation:

[tex]3(x - 1) + 2[/tex]

[tex]x= 5[/tex]

[tex]3(5 - 1) + 2[/tex]

[tex]3(4) + 2[/tex]

[tex]12 + 2[/tex]

[tex]=14[/tex]

there are 47 students in the science club. all but 5 of them went on a field trip to the planetarium. what is the total cost if each student who went on the field trip paid $7?

Answers

the total cost would be $294
47-5=42
42*7=294

Answer:

$294

Step-by-step explanation:

First do 47-5=42

Next do 42x7=294

so the total is 294

You have $150 to spend at a store. If you shoes cost $30 and belts cost $25, write an equation that represents the different ways that you could spend a total of $150

Answers

Answer:

you could buy a pair of shoes and a belt still have 95 dollars to spend

what is the solution to linear system x-y=4 and x+y=2

Answers

Answer:

Step-by-step explanation:

x - y = 4

x + y = 2

2x = 6

x = 3

3 + y = 2

y = -1

(3, -1)

Use the Law of Cosines to determine the length of the third side of the triangle.

4.1 cm

350

6.7 cm

a 1 = 4.9cm

b. 1 = 5.3cm

C.

1 = 5.5cm

d. 1 = 4.1cm

Answers

Corrected Question

Given a triangle with two sides 4.1 cm and 6.7cm and an Included angle of [tex]35^\circ[/tex]. Use the Law of Cosines to determine the length of the third side of the triangle.

Answer:

(D) 4.1cm

Step-by-step explanation:

Given a triangle with two sides 4.1 cm and 6.7 cm and an included angle of [tex]35^\circ[/tex].

Using Law of Cosines

[tex]a^2=b^2+c^2-2bc\cos A\\a^2=4.1^2+6.7^2-2*4.1*6.7\cos 35^\circ\\a^2=16.6958\\a=\sqrt{16.6958}\\a=4.09\\a \approx 4.1$ cm[/tex]

The correct option is D.

Dan buys a car for £2100.
It depreciates at a rate of 2.2% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

£472.92

Step-by-step explanation:

£2100(0.78)^6

PLEASE HELP!!! Find the equation of the line passing through the point (6,3) that is perpendicular to the line 4x−5y=−10. Enter your answers below. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12). Solution Step 1: Find the slope of the line 4x−5y=−10. Use a forward slash (i.e. "/") for all fractions (e.g. 1/2 for 12). m= _____ What would the perpendicular slope be? m= _____ Step 2: Use the slope to find the y-intercept of the perpendicular line. b= ____ Step 3: Write the equation of the line that passes through the point (6,3) that is perpendicular to the line 4x−5y=−10 y= ____ x+ Answer

Answers

Perpendicular Lines

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex]

m = slopeb = y-intercept

Perpendicular lines have slopes that are negative reciprocals.

Example: 2 and -1/2Example: 3/4 and -4/3

Solution

We're given:

Perpendicular to [tex]4x-5y=-10[/tex]Passes through (6,3)

1) Determine the slope

Let's first rearrange this equation into slope-intercept form:

[tex]4x-5y=-10\\-5y=-4x-10\\\\y=\dfrac{4}{5}x+2[/tex]

Notice how [tex]\dfrac{4}{5}[/tex] is in the place of m in y = mx + b. This is the slope of the give line.

Since perpendicular lines are negative reciprocals, we know the slope of the other line is [tex]-\dfrac{5}{4}[/tex]. Plug this into y = mx + b:

[tex]y=-\dfrac{5}{4}x+b[/tex]

2) Determine the y-intercept

We're also given that the line passes through (6,3). Plug this point into our equation and solve for b:

[tex]y=-\dfrac{5}{4}x+b\\\\3=-\dfrac{5}{4}(6)+b\\\\b=3+\dfrac{5}{4}(6)\\\\b=\dfrac{21}{2}[/tex]

Plug this back into our original equation:

[tex]y=-\dfrac{5}{4}x+\dfrac{21}{2}[/tex]

Answer

[tex]y=-\dfrac{5}{4}x+\dfrac{21}{2}[/tex]

Given that the area of a rectangle is 36 square cm and its length is 12 cm. Find the
width of the rectangle.

Answers

Answer: Width is 3 cm

Explanation: since the formula for area of a rectangle is length*width= area, plug the numbers in. 12*x=36. So, what times twelve equals 36? 3! You can also view it like this, 36/12, which would also get you three.

Answer:

is 3

Step-by-step explanation:

because to find the area for a ractangle you have to multiply LxW and 12x3=36

A board of directors consists of 10 people, in how many ways can a chief executive officer, director, a treasurer, and a secretary be selected?

Answers

Answer:

The correct answer to the following question will be "5040".

Step-by-step explanation:

Given:

The number of directors,

n = 10

and they select on 4 peoples, then

Number of ways will be:

⇒  [tex]10_{P}_{4}[/tex]

⇒  [tex]\frac{10!}{10-4!}[/tex]

⇒  [tex]\frac{10!}{6!}[/tex]

⇒  [tex]\frac{10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1!}{6\times 5\times 4\times 3\times 2\times 1!}[/tex]

⇒  [tex]5040[/tex]

In a village
The number of houses and the number of flats are in the ratio 9:5
The number of flats and the number of bungalows are in the ratio 10:3
There are 30 bungalows in the village.
How many houses are there in the village?
Note: please make sure your final answer clear by writing ... houses

Answers

there will be 180 houses.

The number of houses are 180, and the number of flats are 100.

It is given that the number of houses and the number of flats ratio is 9:5 the number of flats and the number of bungalows ratio is 10:3.

It is required to find the number of houses in the village if the number of bungalows is 30.

What is a fraction?

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

The ratio of the number of houses and the number of flats:

= 9:5   and

The ratio of the number of flats and the number of bungalows :

=10:3

It means we can write the ratio of the number of houses and the number of flats = 18:10

And the ratio of the number of:

Houses : Flats : Bungalows = 18:10:3

But the number of bungalows are 30.

Then the ratios are:

180:100:30

Thus, the number of houses are 180, and the number of flats are 100.

Learn more about the fraction here:

brainly.com/question/1301963

Adrian is training for a 5K race. She
ran 5.5 miles the first week, 7.25
miles the second week and 10 miles
the third week. On the average, how
many miles did she run per week?
Round to the nearest hundredth.
PLZ HELP PLZ!!!!!

Answers

To get this we divide the total miles she ran for the weeks by the no of weeks she ran.

Total miles =5.5 +7.25+10= 22.25 miles altogether.

no of weeks =3.

Average miles = 22.75 /3=7.583333≅7.58(nearest hundredth)

Please help! Correct answer only, please! Which of the following is one of the cheapest routes to pass through each vertex once starting and ending with Vertex "A" and using the Nearest Neighbor Algorithm. A. ABDCA, $890 B. ACDBA, $900 C. ABCDA, $960 D. None of the Above

Answers

Answer: c) ABCDA, $960

Step-by-step explanation:

The nearest Neighbor Algorithm states to choose the next vertex based only on the weights of the neighbor of that vertex.

Starting at A: Options are B = 220, C = 240, D = 310

Choose B because it has the smallest value.

From B: Options are C = 200, D = 210

Choose C because it has the smallest value.

From C: There is only one option --> D = 230 (we cannot choose A because it was our starting point and we haven't touched every vertex, yet).

From D: We touched all of the vertices so return to the starting point, A = 310

A → B → C → D → A --> 220 + 200 + 230 + 310 = 960

Notice that if we looked at the entire circuit first, this is NOT the optimum path. But this is the result using the Nearest Neighbor Algorithm.

Find the focus and directrix of the parabola y = {(x + 2)2 – 3.

Answers

Answer:

focus: (-2, -2.75)directrix: y = -3.25

Step-by-step explanation:

For focus-to-vertex distance "p", the equation of a parabola with vertex (h, k) can be written as ...

  y = 1/(4p)(x -h)^2 +k

Comparing this to your equation, we see that ...

  1/(4p) = 1

  h = -2

  k = -3

Solving for p, we find ...

  1/(4p) = 1

  1/4 = p . . . . . multiply by p

The parabola opens upward, so this means the focus is 1/4 unit above the vertex, and the directrix is 1/4 unit below the vertex.

focus: (-2, -2.75)directrix: y = -3.25

Answer:

The focus is at (–2,–212) and the directrix is at y = –312.

Step-by-step explanation:

Find the focus and directrix of the parabola y=12(x+2)2−3.

got the answer right in the test.

Write down the 1st term in the sequence given by:t(n) =n^2+4

Answers

Answer:

5

Step-by-step explanation:

t(1) = [tex]1^{2} + 4 = 5[/tex]

Each limit represents the derivative of some function f at some number a. State such an f and a in each case.
lim √9 + h - 3 / h
h-->0

Answers

Answer:

a = 0f(h) = [tex]\frac{\sqrt{9+h} - 3}{h}[/tex]limit of the function is 1/6

Step-by-step explanation:

The general form representing limit of a function is expressed as shown below;

[tex]\lim_{h \to a} f(h)[/tex] where a is the value that h will take and use in the function f(h). It can be expressed in words as limit of function f as h tends to a. Comparing the genaral form of the limit to the limit given in question [tex]\lim_{h \to 0} \frac{\sqrt{9+h} - 3}{h}[/tex], it can be seen that a = 0 and f(h) = [tex]\frac{\sqrt{9+h} - 3}{h}[/tex]

Taking the limit of the function

[tex]\lim_{h \to 0} \frac{\sqrt{9+h} -3}{h}\\= \frac{\sqrt{9+0}-3 }{0}\\= \frac{0}{0}(indeterminate)[/tex]

Applying l'hopital rule

[tex]\lim_{h \to 0} \frac{\frac{d}{dh} (\sqrt{9+h} - 3)} {\frac{d}{dh} (h)}\\= \lim_{h \to 0} \frac{1}{2} (9+h)^{-1/2} /1\\=\frac{1}{2} (9+0)^{-1/2}\\= \frac{1}{2} * \frac{1}{\sqrt{9} } \\= 1/2 * 1/3\\= 1/6[/tex]

(Bonus) A rectangular box has its edges changing length as time passes. At a par-ticular instant, the sides have lengthsa= 150 feet,b= 80 feet, andc= 50 feet.At that instant,ais increasing at 100 feet/sec,bis decreasing 20 feet/sec, andcisincreasing at 5 feet/sec. Determine if the volume of the box is increasing, decreasing,or not changing at all, at that instant.

Answers

Answer:

the volume of the box is increasing

dV = +310,000 ft^3/s

Step-by-step explanation:

Volume of a rectangular box with side a,b and c can be expressed as;

V = abc

The change in volume dV can be expressed as;

dV = d(abc)/da + d(abc)/db + d(abc)/dc

dV = bc.da + ac.db + ab.dc ......1

Given:

a= 150 feet,

b= 80 feet, and

c= 50 feet

ais increasing at 100 feet/sec,bis decreasing 20 feet/sec, andcisincreasing at 5 feet/sec

da = +100 feet/s

db = -20 feet/s

dc = +5 feet/s

Substituting the values into the equation 1;

dV = (80×50×+100) + (150×50×-20) + (150×80×+5)

dV = +400000 - 150000 + 60000 ft^3/s

dV = +310,000 ft^3/s

Since dV is positive, the volume of the box is increasing at that instant.

8. (03.02 MC)
Given the function f(x) = 2(x + 10), find x if f(x) = 24. (1 point)
68
7
17

Answers

Answer:

x=2

Step-by-step explanation:

We know that

f(x)=2(x+10)

and

f(x)=24

Therefore, by substitution, we can set the 2 expressions equal to each other.

2(x+10)=24

Now, we need to solve for x. Perform the opposite of what is being done to the equation, and remember to perform everything to both sides.

2 and x+10 are being multiplied. The opposite of multiplication is division, so divide both sides by 2.

2(x+10)/2=24/2

x+10=24/2

x+10=12

10 is being added to x. The opposite of addition is subtraction. Subtract 10 from both sides.

x+10-10=12-10

x=12-20

x=2

Answer:

x=2

Step-by-step explanation:

....................................................

Which expression can be used to find 45% of 54?

Answers

Answer:

54 · 0.45

Step-by-step explanation:

This expression will give you 45% of 54, since 54 will be multiplied by the decimal equivalent to 45%

Answer:

0.45 · 54

Step-by-step explanation:

In math, 45% is equal to 0.45, because percents are out of a hundre. ’of’ is just another way of putting a multiplicative sign, so it would be 0.45 · 54

In a recent year, the Better Business Bureau settled 75% of complaints they received. You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Suppose your sample size is 113. What is the probability that the sample proportion will be at most 2 percent more than the population proportion

Answers

Answer:

what

Step-by-step explanation:

find the next two terms in this sequence. 5,-5,10,-10,15,?,?

Answers

Answer:

I think the answer is -15

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What are the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2? x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1 (0, 1) (1, 3) (2, 5) (1, 0)? if your answer is correct i will mark you the brainliest G(x) =19.60 + 1.75x what is the value of g (30) ? Yesterday, Pete had 14 shirts. Today, he donated n shirts. Using n, writean expression for the number of shirts Pete has left. Gary Becker's controversial The Economics of Discrimination concludes that Price discrimination has no effect on final profits. Price discrimination benefits monopolies. Labor discrimination in hiring results in more efficient allocations of production. Discrimination in hiring practices has no effect on final profits. Labor discrimination harms firms that practice it due to increased labor costs. Price discrimination harms monopolies, which refutes over two centuries of economic theory. Fill in the blank with the correct conjugation of the verb.Nosotros _________________ (preferir) ir de compras al centro comercial. Write your question here (Keep it simple and clear to get the best answer)if use the spinner 200 times how many pink colour would you get if it has 0.2 Find the radius of a circle that has a circumference of 16 .O r=4O r=8O r= 12O r=16 Chrzan, Inc., manufactures and sells two products: Product E0 and Product N0. Data concerning the expected production of each product and the expected total direct labor-hours (DLHs) required to produce that output appear below: Expected Production Direct Labor-Hours Per Unit Total Direct Labor-Hours Product E0 300 9.0 2,700 Product N0 1,000 8.0 8,000 Total direct labor-hours 10,700 The company is considering adopting an activity-based costing system with the following activity cost pools, activity measures, and expected activity: Estimated Expected Activity Activity Cost Pools Activity Measures Overhead Cost Product E0 Product N0 Total Labor-related DLHs $ 296,390 2,700 8,000 10,700 Production orders orders 55,587 300 400 700 Order size MHs 579,866 5,000 4,700 9,700 $ 931,843 The activity rate for the Order Size activity cost pool under activity-based costing is closest to:_________-.A. $59.78 per MHB. $87.09 per MHC. $44.16 per MHD. $37.05 per MH Two points on a line are (3, 6) and (4, 9). What is the slope of the line? WILL GIVE BRAINIEST!!! Find the sum of the first 200 positive even numbers. What travels faster hot or cold? Mr. Mudd gives each of his children $2000 to invest as part of a friendly family competition. The competition will last 10 years. The rules of the competition are simple. Each child can split up his or her $2000 into as many separate investments as they please. The children are encouraged to do their research on types of investments. The initial investments made may not be changed at any point during the 10 years; no money may be added and no money may be moved. Whichever child has made the most money after 10 years will be awarded an additional $10,000. Child Performance of investments over the course of the competition Albert $1000 earned 1.2% annual interest compounded monthly $500 lost 2% over the course of the 10 years $500 grew compounded continuously at rate of 0.8% annually Marie $1500 earned 1.4% annual interest compounded quarterly $500 gained 4% over the course of 10 years Hans $2000 grew compounded continuously at rate of 0.9% annually Max $1000 decreased in value exponentially at a rate of 0.5% annually $1000 earned 1.8% annual interest compounded biannually (twice a year) 1. What is the balance of Alberts $2000 after 10 years? 2. What is the balance of Maries $2000 after 10 years? 3. What is the balance of Hans $2000 after 10 years? 4. What is the balance of Maxs $2000 after 10 years? 5. Who is $10,000 richer at the end of the competition? Mrs. Olgas credit card charges an interest rate of 19% compounded annually. If her current balance is $250, what will her balance be after 3 years? Why are there ethical issues surrounding end-of-life care?a. because patients have the right to refuse end-of-life careb. because patients do not have the right to make end-of-life decisionsc. because patients have the right to accept life supportd. because sometimes patients cannot make decisions for themselvesyou can choose as many choices as you want. Select the best thesis statement among the options listed below. The Yankee Doodle Restaurant is a great place to eat for several reasons. The Yankee Doodle Restaurant is a great place to eat because the staff is friendly, the food is delicious, and the atmosphere is relaxing. The Yankee Doodle Restaurant is a great place to eat. When narrators tell stories from their own perspective and use the pronouns I, me, and we, which point of view is indicated? A third person limited B third person omniscient C first person Evaluate the sine of angle X for the right triangle below. John and Tau take their toys down to a nearby pond to play. John has a toy boat made from wood. He places the wooden boat on the pond and it floats. Tau, being a cheeky little boy, wants to make Johns wooden boat sink. So he attaches a piece of lead on one end of the string, and ties the other loose end onto Johns boat and gently places the lead into the water. Determine the smallest amount of lead (mass) that will be enough to sink Johns boat, assuming the specific gravity of wood is 0.5 and the density of the pond water is equal to the density of pure water A country commits to decreasing spending for infrastructure in various ways at a rate of 30% per year. At the time of the announcement, the country is spending $12 billion per year. Which graph models the amount of infrastructure spending for future years? The word EVERYONE isO a demonstrativeO a personal pronounO a relative pronounO an indefinite pronounOnone of these