6. If Jeremy has a batting average
of 0.5014
and Alex has a batting average of 0.50098
who has the better average?

The amount of money that Michael needs to earn in order to make at least $ 300 is с. $228.45.

The total amount that Michael has made from his odd jobs is :

= 25 for yard work + babysitting 33. 50 + 20 grade money + house cleaning 65

= $ 143. 50

The amount remaining after spending on the game and movies :

= 143. 50 - 16. 75 - 55. 20

= $ 71. 55

The amount that he needs to earn to get to $ 300 is:

= 300 - 71. 55

= $ 228.45

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The given coordinate point lies in third quadrant which shown in the graph below.

The given coordinate point is [tex](-4\frac{1}{2}, -2)[/tex].

A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.

In the given coordinate point both x-coordinate and y-coordinate are negative.

Hence, the given coordinate point lies in third quadrant which shown in the graph below.

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Answer:

(a) First, we need to find f(9+h) and f(9):

f(9+h) = (9+h)^2 + 3 = 81 + 18h + h^2 + 3 = h^2 + 18h + 84

f(9) = 9^2 + 3 = 84

Now, we can substitute these values into the difference quotient and simplify:

(f(9+h) - f(9))/h = ((h^2 + 18h + 84) - 84)/h = (h^2 + 18h)/h = h + 18

(b) Using the limit definition of the derivative:

f′(9) = lim(h→0) (f(9+h) - f(9))/h = lim(h→0) (h + 18) = 18

(c) The equation of the tangent line to the curve at the point (9,f(9)) is given by:

y - f(9) = f′(9)(x - 9)

Substituting f(9) and f′(9) into this equation, we get:

y - 84 = 18(x - 9)

y = 18x - 54 + 84

y = 18x + 30

The two inequalities have all the solutions larger than 4 in common.

To check this, we just need to solve both inequalities:

The first one is:

-2(c - 4) ≤ -4

-2c + 4 ≤ -4

4 + 4 ≤ 2c

8/2 ≤ c

4 ≤ c

The second one gives:

(1/2)d - 6 > -4

Solving it for d:

(1/2)d > -4 + 6

d > 2*2

d > 4

Then the solutions are:

c ≥ 4

d > 4

The inequalities have almost all the solutions in common, except for c = 4 which is a solution for the first one but not for the second one.

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To compare 62% and 9/20, we can convert 62% to a fraction with a denominator of 20:

62% = 62/100 = 31/50

Now we can compare 31/50 and 9/20:

31/50 = 0.62

9/20 = 0.45

Since 0.62 is greater than 0.45, we can conclude that 62% is greater than 9/20.

The simplified expressions are;

1) 2√5

2) 6x√2

3) 5xk^2√6x

4) 5√1029y^2

Any mathematical expression that uses the square, cube, or higher-order roots of a number or variable is referred to as a radical expression. Variables, coefficients, and operators like addition, subtraction, multiplication, and division can also be included.

Mathematical operations like factoring, reducing the denominator, and employing exponent rules can be used to simplify or alter radical equations.

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Answer:

238 students

Step-by-step explanation:

35%= 0.35

680x0.35= 238

since we know a year is 365 days, so then 54 days is just 54/365 of a year.

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$17100\\ r=rate\to 9.65\%\to \frac{9.65}{100}\dotfill &0.0965\\ t=years\dotfill &\frac{54}{365} \end{cases} \\\\\\ I = (17100)(0.0965)(\frac{54}{365}) \implies I \approx 244.13~\hfill \underset{ \textit{amount owed} }{\stackrel{ 17100+244.13 }{\boxed{\approx 17344.13}}}[/tex]

Answer:To find ordered pairs on the graph of the function, we can substitute different values of x in the given function and calculate the corresponding values of f(x).

Step-by-step explanation:

Here are four examples:

When x = 2, f(x) = 6/(2+1) = 2. So the ordered pair is (2, 2).

When x = -3, f(x) = 6/(-3+1) = -3. So the ordered pair is (-3, -3).

When x = 0, f(x) is undefined because we cannot divide by zero. So there is no ordered pair on the graph for x=0.

When x = 4, f(x) = 6/(4+1) = 6/5. So the ordered pair is (4, 6/5) or (4, 1.2) rounded to one decimal place.

Therefore, four ordered pairs on the graph of the function f(x) = 6/(x+1) are (2, 2), (-3, -3), (4, 1.2), and any value x ≠ 0 would have a corresponding ordered pair.

Violin is the instrument played by least number of friends.

Given: We are given that there are five friends A, B, C, D and E. Any two friends do not play the same number of musical instruments. The only instrument that is common between C and E is Flute. B and C are the only players of violin in the whole group and when D joins them, all three of play Congo. There are only three players of Guitar. The Cymbal is the only common instrument among A, B and E. Congo is the most played instrument. Flute is played by more than 2 people.

To Find: We have to find which instrument is played by the least number of friends.

So, we are given that Violin is played by only 2 friends.

We are given that Flute is played by more than 2 people.

Guitar is played by 3 people.

Cymbal is played by at least 3 people i.e., A, B and E

Congo is played by the greatest number of people.

We can see that every instrument other than Violin is played by more than 2 people whereas Violin is played by only 2 people.

Therefore Violin is the least played instrument.

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The probability that you roll a 3 or a 7 is 1/4.

We have, eight-sided die numbered 1 through 8 on its faces.

Now, the probability to roll 3

= 1/8

and, probability of rolling 7

= 1/8

So, the probability that you roll a 3 or a 7

= 1/8 + 1/8

= 2/8

= 1/4

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After dilatation around T with scale factor k, the coordinates of S are (4 + 3k, -3 + 12k).

Let the scale factor be k. To find the coordinates of S after dilation about point T with scale factor k, use the following formula:

S' = T + k(S - T)

where S' is the image of S after dilation.

Plugging in the values:

S' = (4, -3) + k[(7, 9) - (4, -3)]

S' = (4, -3) + k(3, 12)

S' = (4 + 3k, -3 + 12k)

Therefore, the coordinates of S after dilation about T with scale factor k are (4 + 3k, -3 + 12k).

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Based on the information about the angles, the value of x is 10.

From the information, n - 2 = 43

Solving for n, we get:

n = 45

The polygon has 45 sides.

sum of interior angles = (n - 2) * 180 degrees

sum of interior angles = (45 - 2) * 180 degrees

sum of interior angles = 7560 degrees

Since the polygon is regular, all of its angles have the same measure, which we are told is (17x+2)°. Let's use this to find x:

sum of interior angles = number of angles * measure of one angle

7560 = 45 * (17x+2)

7560 = 765x + 90

7470 = 765x

x = 10

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By taking the difference between the distances, we see that Priya hiked (1 + 1/6) miles more than Diego.

To find this, we just need to take the difference betwee the two distances given.

We know that Priya hiked 1 2/3 miles and Diego hiked 1/2 mile, then the difference is:

D = (1 + 2/3) mi - (1/2) mi

D = (1 + 2/3 - 1/2) mi

D = (1 + 4/6 - 3/6) mi

D = (1 + 1/6) mi

We can see that Priya hiked (1 + 1/6) miles more than Diego.

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The distance farther Priya hike than Diego is 1  1 / 6 miles.

Priya hiked 1  2/3 miles. Diego hiked 1/2 mile. Therefore, let's find how much farther Priya hiked than Diego.

Hence,

Distance hiked by Priya = 1 2 / 3  = 5 / 3 miles

Distance hiked by Diego = 1 / 2 miles

Therefore,

Amount of distance farther Priya hiked than Diego = 5 / 3  - 1 / 2

Amount of distance farther Priya hiked than Diego = 10 - 3 / 6

Amount of distance farther Priya hiked  than Diego= 7 / 6 miles

Amount of distance farther Priya hiked than Diego = 1  1 / 6 miles

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Answer: for this problem the answer wouldn’t be a fraction it’ll be a single number wish is x will equal to 4

Answer:

Step-by-step explanation:

They want you to write an equation using point-slope form.

y-y₁=m (x-x₁)

We can find the slope m from counting  

I counted from the red dot to (-400,-200)  that looks like the next time it hits the grid perfectly

m= rise/run=  400/500          > divide both top and bottom by 100

m= 4/5                                    > reduced  

point( -900, -600)

y-y₁=m (x-x₁)

y-(-600)=4/5(x-(-900))         >simplify negatives

y+600 = 4/5(x+900)            > this is point slope form

You can simplify to y=mx+b  slope-intercept, not sure which form they want.

y+600 = 4/5(x+900)          >distribute

y+600 = 4/5x + 720          >subtract 600 from both sides

y=4/5x + 120

The area of the circle is 12.56 metres squared.

The circle has a diameter of 4 metres. The diameter of a circle is a line that passes through the centre and meets the circumference at opposite ends.  

Therefore, the area of the circle can be found as follows:

area of the circle = πr²

where

Hence,

r = 4 / 2

r = 2 metres

area of the circle =  3.14 × 2²

area of the circle =  3.14 × 4

area of the circle =  12.56 metres squared

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Based on the data, the mean would be the best measure of center to describe a typical value in the data set.

To create a dot plot, we can list the numbers in order and place a dot above the corresponding value on the number line.

20 ••

21 ••

22 •

23 ••••

24 •••••

25 ••

26 ••

27 •

The dot plot shows a relatively symmetric distribution of the data, with the majority of values clustered around the middle. Therefore, the mean would be a good measure of center to describe a typical value of the data set.

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The graph of the new function will be a line that is steeper than the original line and slopes upward from left to right.

Since, A slope of a line is the change in y coordinate with respect to the change in x coordinate.

The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.

Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,

m = change in y/change in x = Δy/Δx

Where “m” is the slope of a line.

The slope of the function y = -3.5x + 12.8 is -3.5. If the slope is changed to 1.5, the graph of the new function will be steeper than the original function.

When the slope of a linear function is positive, the line slopes upward from left to right. When the slope is negative, the line slopes downward from left to right. The greater the absolute value of the slope, the steeper the line.

Since the new slope is positive and greater than 1, the graph of the new function will be a line that is steeper than the original line and slopes upward from left to right.

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Answer:

Let the length of the rectangle be L. Then we can use the formula for the area of a rectangle:

Area = Length x Width

Substituting the given values, we get:

16 1/3 = L x 4 2/3

To solve for L, we can first convert the mixed numbers to improper fractions:

16 1/3 = 49/3

4 2/3 = 14/3

Substituting these values, we get:

49/3 = L x 14/3

To solve for L, we can multiply both sides by the reciprocal of 14/3:

49/3 ÷ 14/3 = L

Simplifying, we get:

L = 49/3 x 3/14

L = 7/1

L = 7

Therefore, the length of the rectangle is 7 inches.

Step-by-step explanation:

The given expression represents the present value of a series of future cash flows discounted at a rate of 6.5% per year.

Each term in the expression represents a cash flow at a specific time in the future, and the denominator in each term represents the discount factor, which reflects the time value of money.

The first term, $250,000 / (1+0.065)^1, represents a cash flow of $250,000 that will be received in one year.

To determine its present value, we divide it by the discount factor (1+0.065)^1, which reflects the fact that the money will be received one year from now and is, therefore, less valuable than money received today.

Similarly, the second term, $37,500 / (1+0.065)², represents a cash flow of $37,500 that will be received in two years.

To determine its present value, we divide it by the discount factor (1+0.065)²,

which reflects the fact that the money will be received two years from now and is, therefore, less valuable than money received today.

This process is repeated for each term in the expression, representing cash flows that will be received in three, four, five, and six years, respectively.

The sum of these present values represents the total present value of the cash flows or the amount that they are worth today if they are discounted at a rate of 6.5% per year.

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The ordered pair that represents the week before is given as follows:

A. (1,7).

The general format of an ordered pair is given as follows:

(x,y).

In which the coordinates are given as follows:

The meaning of each coordinate in this problem is given as follows:

For the current week, the ordered pair is given as follows:

(5,3).

For the previous week, the total number of hours was the same, that is, 5 + 3 = 8, however with x = 1 and y = 8 - 1 = 7, as only one hour was spent on chores.

Thus option A is correct.

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Answer:

Which part of the diagram shows the quantity x? What about 4? What about 17?

b. You must add the boxes together to show that it is 17.

How does the diagram show that x+4 has the same value as 17?

c. The value of the x+4 and 17 is the same because according to the diagram the quantity of x+4 is showing 17, so they have the same value.

Answer:

Mass

Step-by-step explanation:

In science, Mass is defined as the amount od space something takes up or the number of matter something contains. Using those you can find the answer.

Answer:

The correct answer is B.

83,120 can be written as:

(8 × 10^4) + (3 × 10^3) + (1 × 10^3) + (2 × 10^2)

This is equivalent to option B.

The requried, probability that both the first digit in the last digit of the three-digit number is even numbers is 20%.

To count the number of three-digit numbers with distinct digits that can be formed using the digits 1, 2, 3, 5, 8, and 9, we can use the permutation formula:

P(n, r) = n! / (n-r)!

In this case, we have n = 6 (since we have 6 digits to choose from) and r = 3 (since we want to form three-digit numbers). Using the formula, we get:

P(6, 3) = 120

We can choose the first digit in two ways (2 or 8), and we can choose the last digit in three ways (2, 8, or 6). For the middle digit, we have four digits left to choose from (1, 3, 5, or 9), since we cannot repeat digits. Therefore, the number of three-digit numbers with distinct digits that have an even first and last digit is:

2 x 4 x 3 = 24

The total number of three-digit numbers with distinct digits is 120, so the probability that a randomly chosen three-digit number with distinct digits has an even first and last digit is:

24/120 = 0.2 or 20%

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The strategy to solve the problem is to select one stack from the near doubles and count them with the doubles. Hence when the 3rd stack is counted with the first two double, 8+6 = 14. This is an addition problem.

Addition is simply counting items, number, persons, objects together to that you are no longer looking that their individual numeric value but the numeric sum of the collective whole.

Hence, when we count the first doubles we had 8

counting the penultimate stack, we have 6. Counting 8 and 6 together gives us 14.

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Full Question:

See attached image.