ANSWER THESE 3 TODAY [10 points for each question, and no links outside of brainly links]:
(All Screenshots are in order to the Question its for and please, no questions on why 2 and 3 are all Uppercase I have no idea)
Q1. The table below gives the number of hours spent studying for a Math Exam and the final exam grade. What is the equation for the line of best fit?

A. y = 6.09x + 63.9
B. y = 8x -24
C. Y = 4.5x + 10
D. y = -6.09x + 63.9

Q2. A STUDENT WHO WAITS ON TABLES AT A RESTAURANT RECORDED THE COST OF MEALS AND THE TIP LEFT BY SINGLE DINERS. WHAT IS THE EQUATION OF THE LINE OF BEST FIT?

A. y = x -3
B. y = -0.16x + 0.3
C. y = 0.16x + 0.3
D. y = x - 3

[Question 2 confuses me with A & D because the only difference is an added space in-between the subtraction sign and 3, if you can explain the difference i will be happy and (if i figure out how) will give you an extra 10 points]

Q3. A BASKETBALL IS DROPPED FROM A HEIGHT OF 200 CM. THE TABLE SHOWS HOW HIGH IT BOUNCES ON EACH BOUNCE WHAT IS THE EQUATION FOR THE CURVE OF BEST FIT?

A. \(y = -6x^{2} + 70x + 208\)
B. y = 6x + 208
C. y = 4x - 70
D. \(y = 6x^{2} - 70x + 208\)

[Q3 has no screenshot because there was no graph with it]

Answer:

422

Step-by-step explanation:

Answer:

136

Step-by-step explanation:

35+35+42+12+12 =

70+42+24=

112+24=

136

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer:

a 1 over 25

Step-by-step explanation:

Problem Statement:

     What is the value of  \(\frac{5^{4} }{5 ^{6} }\) ?

To solve this problem, we must familiarize ourselves with the concept of exponents and rules that guides them.

Exponents are used by scientists to report higher orders of a number.

Such large and often recurring expression is usually made up of a base and an exponent value.

The exponent value is the power of the base;   for example, 4³ has 4 as its base and 3 as the exponent.

Several rules guides solving an exponent, to this problem, the most applicable one is :

                            \(\frac{x^{a} }{x^{b} }\)  =  \(x^{(a-b)}\)

                           \(\frac{5^{4} }{5 ^{6} }\)   =  \(5^{4-6}\)  

                                 = \(5^{-2}\)

                                 = \(\frac{1}{25}\)                                  

Therefore the solution is 1 over 25

Answer:

a 1 over 25

Step-by-step explanation:

Barbary later sold 20 sets of plates and 60 sets of pots, bringing her weekend sales over the Fourth of July holiday to $1,080.

A mathematical technique known as the unitary method includes determining the value of a single unit and using that value to determine the value of a specified number of units. The "single rule of three" approach is another name for it. Problems involving proportional relationships between two or more quantities are solved using the unitary approach. By using this method, we can discover the value of any number of units of the same quantity by first determining the value of one unit of the quantity. For instance, we can use the unitary technique to determine the price of 5 pens if we know that 3 pens cost $6.

given

Let's label the quantity of pot sets sold by Barbary "x" and the quantity of dish sets sold "y".

We learn the following from the issue:

The cost of a pot set is $14.

An entire collection of dishes costs $12.

$1,080 was the entire amount of sales.

Another equation can be written because we also know that "People purchased three times as many pots as dishes":

x = 3y

Now, we can change the first equation to use the second equation:

14(3y) + 12y = 1080

Putting this problem simply:

42y + 12y = 1080

54y = 1080

y = 20

Barbary thus sold 20 pieces of dinnerware.

Using the formula x = 3y, we can determine the quantity of pot pairs sold:

x = 3(20) (20)

x = 60

Barbary then sold 60 pot sets.

We can enter our numbers for x and y into the formula 14x + 12y = 1080 to verify our conclusion:

14(60) + 12(20) = 1080 \s 840 + 240 = 1080

1080 = 1080

Since the solution balances, our conclusion is accurate.

Barbary later sold 20 sets of plates and 60 sets of pots, bringing her weekend sales over the Fourth of July holiday to $1,080.

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The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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its 3 shorts

Step-by-step explanation:

11×5= 55 82-55= 27 27÷9= 3

Answer:

Step-by-step explanation:

Given this information, we can set up an equation

\(11x + 9y = 82\), where x is the amount of shirts bought, and y is the amount of shorts bought. Since we know she bough 5 shirts, we can replace x with 5

\(11 (5) + 9y = 82\)   Now, we have to find for y.

Step 1. Simplify

\(55+9y=82\)

Step 2. Subtract 55 from both sides

\(55-55+9y=82-55\\9y=27\)

Step 3. Divide both sides by 9

\(\frac{9y}{9}=\frac{27}{9}\\y=3\)

If y = 3, this means that Jiyoung bought 3 shorts.

Answer:

Expected value of the game is $1.75

Step-by-step explanation:

The probability of getting a head or a tail on flipping a coin is 1/2 and so the probability of winning is 1/2 as we need all heads or all tails . There are 3 fair coins so the expected value of winning is given by =

P(1st coin =x =head)= 1/2

P(2nd coin =x =head)= 1/2

P(3rd coin =x =head)= 1/2

P(1st coin =x =tail)= 1/2

P(2nd coin =x =tail)= 1/2

P(3rd coin =x =tail)= 1/2

E(X= win) = ∑xP(x)=  (1/2)³+(1/2)³= 1/8 + 1/8= 2/8

Expected value of winning the game is $ 7*2/8= 14/8=$ 1.75

$ 1.75- $1= $ 0.75

$ 0.75 (8) = $ 6

This means that for a total of $ 8  he gets $ 6.

Answer:

1/20

Step-by-step explanation:

3 states start with the letter c. This means that there is a 3/50 probability of getting a state starting with c.

There are 5/6 sides of a die that is at most 5. That is a 5/6 probability.

Multiplying this together, we get:

3/50 x 5/6 =

15/300=

1/20

The number of groups of 5/3 are in 1 is 3/5

groups of 5/3 are in 1

= 1 ÷ 5/3

1 ÷ 5/3

= 1 × 3/5

= 3/5

Therefore, the number of groups of 5/3 are in 1 is 3/5

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Answer: No he is not correct the answer is 6 3/8

Step-by-step explanation: so what you have to do is add the 2 numbers you it should look like this(2 3/4+ 3 5/8) then you want to add the 2 and the 3 and add the 3/4 and 5/8 it should look like this (5+11/8) then you want to converse the number to a mixed number it should look like this (5+1+3/8) then you should add the

Answer:

No. Total distance = 6 3/8.

Step-by-step explanation:

\(2\frac{3}{4}+3\frac{5}{8}=\frac{11}{4}+\frac{29}{8}\\\\\)

            \(=\frac{11*2}{4*2}+\frac{29}{8}\\\\=\frac{22}{8}+\frac{29}{8}\\\\=\frac{22+29}{8}\\\\=\frac{51}{8}\\\\=6\frac{3}{8}\)

Answer:

Systematic sampling is used.

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

Every 14th CD.

So systematic sampling is used.

Answer:

Step-by-step explanation:

So to travel 39 miles, you must use 2.6 Liters of fuel.

There are 2 pictures.

1. The equation 4x=7(x-3) is x=7.

2. Given ∠2≅∠4 and ∠2 and ∠3 are supplementary. we have proved ∠1≅∠3.

Given that,

There are 2 pictures.

1st picture is

We have to solve the given equation.

Equation is 4x=7(x-3)------> given

4x=7x-21 ---------> multiplying 7 to x and -3

4x-7x=-21

-3x=-21 --------> taking 7x to right side and subtracting 4x and 7x

x=-21/-3

x=7--------> taking -3 to left we get divided by 21, after division we got 7

Therefore, the equation 4x=7(x-3) is x=7.

2nd picture is

We have to prove the statement.

∠2≅∠4 --------> given

m ∠2=m ∠4 --------> angle congruence postulate

∠2 and ∠3 are supplementary ----------> given

m ∠2+m ∠3=180° ---------> Definition of supplementary angles

∠1 and ∠4 are supplementary ------> ∠2 ≅∠4 and ∠2 and ∠3 are supplementary then ∠2 and ∠1 also supplementary then ∠1 and ∠4 are supplementary.

m ∠1+m ∠4=180° --------> Definition of supplementary

m ∠1+m ∠4=m ∠2+m ∠3 ------> from step 4 we can write

m ∠1+m ∠4=m ∠4+m ∠3 -------> we know ∠2≅∠4

m ∠1=m ∠3 --------> ∠4 is remove from both sides.

∠1≅∠3 --------> definition of midpoint

Therefore, the statement is proved.

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Suppose f(x) is a function of x that is twice differentiable at a stationary point x_0. Then, according to the Second Derivative Test, we have that:

Now, consider the following polynomial function:

the first derivate of this function is:

and the second derivative would be:

Now, to find the critical numbers we set the first derivative equal to 0:

the solutions to this equation are:

To use the Second Derivative Test we evaluate the second derivative of f(x) at the above points (critical numbers):

and

Applying the second derivative test, we have that according to these results, we have that f has a local minimum at x= 7/3 and f has a local maximum at x = 1.

Then, if we evaluate the function f(x) at the above critical points we obtain the coordinates for the maximum and minimum of the given function:

and

we can conclude that the correct answer is:

The maximum is the point:

The minimum is the point:

Answer:

Maths

Step-by-step explanation:

Maths

Maths is a great way to get a job and then she can u me a little more about it and let me know if maths is a good fit for me and I can make it work for you

Answer is:

Step-by-step explanation:

6

The students in 8th class who choose music are 16 in number,

The students in 7th class who choose music are 32 in number

The total who choose world language is 270

The totals who are in 7th grade be 194

The number of students who choose world language in 7th class are 162

Let x be the students in 8th class who choose music

x+108=124

x=124-108

x=16 students

Now  y be the students in 7th class who choose music

16+y=48

y=48-16

y=32

Let z be the total who choose world language

48+z=318

z=318-48

z=270

Now the totals who are in 7th grade be A

124+A=318

A=318-124

A=194

B be the number of students who choose world language in 7th class

Now 32+B=194

B=194-32

B=162

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According to the information we can infer that the parallel line would be AD or CF. Additionally, the perpendicular lines would be CB or FE.

To identify the parallel lines we must look at the figure and find the lines that have the same direction as the line BE and that would never intersect with the segment BE, according to the above, we can infer that the parallel lines would be:

On the other hand, the lines perpendicular to CF would be CB or FE because they make 90° angles with segment CF. Additionally, the face that would be parallel to ABC is DEF.

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Answer:

Step-by-step explanation:

A. when you multiply exponents with a common base you keep the base and add the exponents. In this case you would keep the 6 and add the -5 and 2 so the answer would be:

6^-3 which is not equivalent

B. You can distribute the exponent in to the parenthesis.

(1^5)/(6^2)^5

when you have an exponent to an exponent you mutliply. so the answer would be:

1^5/6^10

1^5 is always going to be 1 so you actually have:

1/6^10

when the exponent is on the bottom you can bring it to the top by making it negative, so the final answer for B is:

6^-10 which is equivalent

C. Same rules as B, multiply an exponent to an exponent.

6^(-5*2) = 6^-10 which is equivalent

D. When you are dividing exponents with a common base you subtract the top and bottom exponents. So in this case you have:

6^(-3-7) = 6^-10 which is equivalent

E. Using the rules from eariler the numerator can be simplified by adding the exponents.

6^5 * 6^-3 = 6^(5-3) = 6^2

which leaves you with:

6^2/6^-8

From there you can either bring the 6^-8 to the numberator to make it positive which simplifies to:

6^2 * 6^8 = 6^(2+8) = 6^10 which is not equivalent

or you can subtract the top and bottom exponents:

6^2/6^-8 = 6^(2-(-8))

the double negative cancels to a positive and you getL

6^(2+8) = 6^10 which is not equivalent

so B, C, and D are equal to 6^-10

Answer:

269.5

Step-by-step explanation:

when you subtract 30 percent from 385 you get 269.5

The slope-intercept form of an equation of a line looks like this:

Where m is the slope and b the y-intercept. Comparing this with our equation:

We can conclude that m=-0.3 and b=43 which means that the answer for the first box in part a is -0.3.

The slope of a linear function tells us how much does y-values increase or decrease when the x-value increases in 1 unit. In our case the x-values represent the years past after 1985 and y the percentage of men smoking cigarettes in a certain city. This means that a slope of -0.3 means that the value of the function (y) decreased by 0.3 per year after 1985. Then the answers for the two boxes in part (b) are decreased and 0.3.

Answer:

\(\displaystyle \frac{dy}{dx} = -40x \sin (5x^2) \cos^3 (5x^2)\)

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           \(\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)\)

Basic Power Rule:

Derivative Rule [Chain Rule]:                                                                                 \(\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)\)

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle y = \cos^4 (5x^2)\)

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

\(\\ \rm\rightarrowtail \dfrac{2}{3}\)

We need. the denominator as 12

So

\(\\ \rm\rightarrowtail \dfrac{2(4)}{3(4)}\)

\(\\ \rm\rightarrowtail \dfrac{8}{12}\)

Answer:

\(\sf \dfrac23=\dfrac{2 \times 4}{3 \times 4}=\dfrac{8}{12}\)

Step-by-step explanation:

To get from 3 to 12, we must multiply 3 by 4 since 3 x 4 = 12

Therefore, multiply both the numerator and denominator by 4:

\(\sf \dfrac23=\dfrac{2 \times 4}{3 \times 4}=\dfrac{8}{12}\)

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

Ten rugby balls are randomly selected from the production line to see if their shape is correct. Over time, the company has found that 89.4% of all their rugby balls have the correct shape. If exactly 6 of the 10 have the right shape, should the company stop the production line?

1)Yes as the probability of six having the correct shape is not unusual

2)NO. as the probability of six having the correct shape is unusual

3)Yes as the probability of six having the correct shape is unusual

4) No. as the probability of six having the correct shape is not unusual

Solution:

If exactly 6 of the 10 have the right shape, it means that the probability of success for the sample is

6/10 = 0.6

Expressing the probability in terms if percentage, it becomes

0.6 × 100 = 60%

Over time, the company has found that 89.4% of all their rugby balls have the correct shape. It means that the probability of success for the population is 89.4%

Comparing both probabilities, the probability of only 6 having the right shape is unusual. Therefore, the correct option is

3)Yes as the probability of six having the correct shape is unusual

The top left graph represents the weight of the radioactive isotope over time.

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for the function in this problem are given as follows:

a = 96, b = 0.5.

Hence the function is given as follows:

\(y = 96(0.5)^x\)

Two points on the graph of the function are given as follows:

(1,48) and (2, 24).

Hence the top left graph represents the weight of the radioactive isotope over time.

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Answer:

Graph W

Step-by-step explanation:

The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.

Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).

The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.

Initial weight: 96 grams

After 1 hour: 96 / 2 = 48 grams

After 2 hours: 48 / 2 = 24 grams

After 3 hours: 24 / 2 = 12 grams

After 4 hours: 12 / 2 = 6 grams

After 5 hours: 6 / 2 = 3 grams

So, the points on the graph would be:

Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.

Answer:

hi

Step-by-step explanation:

put 3 in place of x . its like a peice of cake

Answer:

h(3) = 6

Step-by-step explanation:

Given that,

→ x = 3

Then the value of h(3) will be,

→ h(x) = 3x - 3

→ h(3) = 3(3) - 3

→ h(3) = 9 - 3

→ [ h(3) = 6 ]

Hence, the answer is 6.

Answer:

$16s + $4y = 296

Step-by-step explanation:

Answer:

16x + 4y = 296

Step-by-step explanation:

X = Seats

Y = Snacks

Answer:

Step-by-step explanation:

1) 2^2 + 2^2 = c^2

4 + 4 = c^2

8 = c^2

c = sqrt8

2) 2^2 + 3^2 = c^2

4 + 9 = c^2

13 = c^2

c = sqrt13

3) 10^2 + 4^2 = c^2

100 + 8 = c^2

108 = c^2

c = sqrt108

4) 1^2 + 5^2 = c^2

1 + 25 = c^2

26 = c^2

c = sqrt26

5) 3^2 + 1^2 = c^2

9 + 1 = c^2

10 = c^2

c = sqrt 10

6) 9^2 + 9^2 = c^2

81 + 81 = c^2

162 = c^2

c = sqrt162