Find the distance between the two points rounding to the nearest tenth (if necessary).
(6,3) and (3,6)

Mark has 20 marbles to sell, and Don has 82 marbles to sell.

To determine the number of marbles each boy has to sell, we can set up a system of equations based on the given information. Let's represent the number of marbles Mark has as "m" and the number of marbles Don has as "d". We know that the total number of marbles is 102, and Don has 2 more than 4 times the number of marbles Mark has. By solving this system of equations, we can find the values for "m" and "d".
Let's set up the equations based on the given information:
1. m + d = 102 (equation representing the total number of marbles)
2. d = 4m + 2 (equation representing Don's number of marbles in terms of Mark's number of marbles)
We can solve this system of equations by substitution or elimination. Let's use substitution:
Substitute equation 2 into equation 1:
m + (4m + 2) = 102
5m + 2 = 102
5m = 100
m = 20
Substitute the value of m back into equation 2 to find d:
d = 4(20) + 2
d = 82
Therefore, Mark has 20 marbles to sell, and Don has 82 marbles to sell.

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(a) The function is cubic. (b) The function is quartic. (c) The function is a sum of two terms.

For each of the following curves, the sketch will include information about general behavior, first derivative, stationary points, y-intercepts, and x-intercepts if the function is easily factorable.General behavior:

Stationary points:

For (a), to find stationary points, we can solve \(f′(x)=0 for x.3x^2−2x−5=0 x ≈ −0.9 and x ≈ 1.7\)

For (b), to find stationary points, we can solve \(f′(x)=0 for x.4x^3−4x=0 x = 0, ±1\)

For (c), to find stationary points, we can solve \(f′(x)=0 for x.16x−4x^3=0 x ≈ −0.9, x ≈ 0, x ≈ 0.9\)

Y-intercept

For (a), the y-intercept is given by f(0) = 0.

For (b), the y-intercept is given by f(0) = 2.

For (c), the y-intercept is given by f(0) = 9.X-intercept:

For (a), the x-intercept is easily factorable and can be found by factoring the equation: \(x(x^2−x−5)=0.\) The roots are: x = 0, x ≈ −1.9, x ≈ 1.9.

For (b), the x-intercept can be found by solving for f(x) = 0. This cannot be easily factorable. The roots are: x ≈ −1.4, x ≈ −0.7, x ≈ 0.7, x ≈ 1.4.

For (c), the x-intercept is easily factorable and can be found by factoring the equation: \((2x−1)(2x+1)(x^2−1)=0.\) The roots are: x = ±1, x ≈ ±0.5.To summarize, sketching the curves of \(f(x)=x^3−x^2−5x, f(x)=x^4−2x^2+2\), and \(f(x)=1+8x^2−x^4\)involve identifying their general behavior, first derivative, stationary points, y-intercepts, and x-intercepts if the function is easily factorable.

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Answer:

y=70x+12

Step-by-step explanation:

y= amount of total money spent

x= amount of hours

Step-by-step explanation:

x = number of rental hours

we have to pay $70 per hour we rent the boat, plus $12 flat for the life jackets. these $12 we have to pay, even if we finally decide to not start the trip and have 0 hours of rental.

the total cost is then the following function

y = f(x) = 70x + 12

Answer:

112

Step-by-step explanation:

The interior angles of triangles always add up to 180 so you first add the two interior angles which are already given to get 68 then after that you subtract it from 180 to get the answer of 112.

Hope this helps :) if it did pleaae mark as branliest...

Answer

1 + 32 + 243 + 1024 + .. + n5

Step-by-step explanation:

Yes, the claim is correct because √16 + π = 4 + π and  4 + π  is an irrational number

Rational numbers are numbers that can be expressed as the ratio of two integers while Irrational numbers cannot be expressed as the ratio of two numbers.

The sum of a rational and an irrational number is always an irrational number.

Example:

Consider a rational number: 4 and an irrational number: 2.7582...

When we add these two numbers, we get,

4 + 2.7582... = 6.7582....

Thus, it is clear that this sum is also an irrational number as the numbers after decimal are non-terminating and non-recurring.

Thus, the correct option is that the claim is correct because √16 + π = 4 + π which is an irrational number

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Answer:

1. P(2 or 4) - 2/3

2. P(multiple of 2) - 1

3. P(multiple of 3) 1/3

4. P(odd prime numbers) 0

Step-by-step explanation:

Good luck lol

P(2 or 4) = 2/3

P( multiple of 2) = 1

P( multiple of 3) = 1/3

P(odd prime numbers) = 0

Probability is the likelihood of an event happening or not.

Analysis:

possible outcome = (2,2,4,4,6,6) = 6

P(2 or 4)

n( 2) = required outcome = (2,2) = 2

P(2) = 2/6 = 1/3

n(4) = (4,4) = 2

P(4) = 2/6 = 1/3

P(2 or 4) = 1/3 + 1/3 = 2/3

n( multiple of 2) = (2,2,4,4,6,6) = 6

P( multiple of 2) = 6/6 = 1

n(multiple of 3) = (6,6) = 2

P(multiple of 3) = 2/6 = 1/3

P(odd prime numbers) = 0

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Answer:

Anything after x determines if it goes up since it's a positive 5 it's 5 units up

Answer:

Negative

Step-by-step explanation:

slope (2) is decreasing which shows signs of negativity

Answer:

A. and C.

Step-by-step explanation:

Identify carefully!

Answer:

slope = \(\frac{3}{4}\)

Step-by-step explanation:

To calculate the slope m use the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 5 ) ← 2 points on the line

m = \(\frac{5-2}{4-0}\) = \(\frac{3}{4}\)

The determinant is nonzero, there is no solution for c1 and c2, and hence y⃗ is not in the plane spanned by v⃗ 1 and v⃗ 2 for any value of h. To determine if y⃗ is in the plane spanned by v⃗ 1 and v⃗ 2, we need to check if y⃗ can be written as a linear combination of v⃗ 1 and v⃗ 2.

That is, we need to solve the system of equations:
c1 * v1 + c2 * v2 = y
where c1 and c2 are constants to be determined.
Substituting in the given values, we get:
c1 * [-1 4] + c2 * [-1 6] = [1 - 10h]
This gives us two equations:
-c1 - c2 = 1
4c1 + 6c2 = -10h + 1
Solving for c1 and c2, we get:
c1 = -2h + 1/3
c2 = -2h - 2/3
For y⃗ to be in the plane spanned by v⃗ 1 and v⃗ 2, the constants c1 and c2 must exist such that the system of equations is satisfied. This means that the determinant of the coefficient matrix must be zero:
|-1 -1|
| 4  6| = -2
Since the determinant is nonzero, there is no solution for c1 and c2, and hence y⃗ is not in the plane spanned by v⃗ 1 and v⃗ 2 for any value of h.

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Answer:

200 minutes

Step-by-step explanation:

In order to find the range, you have to subtract the greatest number to the lowest number. In this case, 400 is the smallest number, and 600 is the greatest number. 600-400 is 200 minutes.

Answer:

sorry i forgoti would just look it up it might be right

Step-by-step explanation:

my last name is henry

Answer:

No solution

5 stars plz!

Step-by-step explanation:

describe y in terms of x, so using the equation 2x+y=5 we can determine:

5-2x=y

now replace y with 5-2x in the other equation

5-2x=-2x+5

take 5 from each side

-2x=-2x

uh-oh... no solution here

(I used the other one to define y and skipped to the part where I had one equation)

2x-2x+5=5

so simplify

5=5

Answer:

No it does not because if you notice, you'd need to be able to have a 5 or higher next to the 5 in 7.539 to be able to round it to 7.6

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

In order for the 5 to be rounded up, the number behind it (3) had to be larger or equal to 5.

Answer:

thats the answer for that -17.5

Answer:

−54.9+(−37.4)

Step-by-step explanation:

A type of statistical hypothesis known as a "null hypothesis" makes the case that a given set of observations does not have any statistical significance.

Using sample data, hypothesis testing is used to determine a hypothesis's credibility. It is represented as H0, and it is sometimes referred to as the "null."

Given; The average thickness and standard deviation of a sample of 50 eyeglass lens samples are 3.05 millimeters and.34 millimeters, respectively.

Such lenses should have a true average thickness of 3.20 mm. Utilizing a =.05

False hypothesis H0: Alternative hypothesis: mu1= mu2 HA: 'mu1' and 'ne'

Sample Size 50 Sample Mean 3.05 Sample Standard Deviation 0.34 Intermediate Calculations Standard Error of the Mean 0.0481 Degrees of Freedom 49 t Test Statistic -3.1196 Two-Tail Test Lower Critical Value -2.0096 Upper Critical Value 2.0096 p-Value 0.0030 Reject the null hypothesis

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Answer:

\(P =5x-260\)

Step-by-step explanation:

Given

\(R = 3x^2 + 4x - 60\) --- Revenue

\(C = 3x^2 - x + 200\) --- Cost

Required

The expression for profit (P)

This is calculated as:

\(P =R - C\)

So, we have:

\(P =3x^2 + 4x - 60 - (3x^2 -x+200)\)

Open bracket

\(P =3x^2 + 4x - 60 - 3x^2 +x-200\)

Collect like terms

\(P =3x^2 - 3x^2+ 4x +x- 60-200\)

\(P =5x-260\)

If the profit is the difference between the revenue and the cost, 5x – 260  expression represents the profit. Correct option is 3.

The profit is calculated by subtracting the cost from the revenue. In mathematical terms, the profit (P) can be represented as:

Profit (P) = Revenue - Cost

Among the given options:

1. 3x - 260

2. 3x + 140

3. 5x - 260

4. 5x + 140

We need an expression where the first term represents the revenue and the second term represents the cost, so that when we subtract the cost from the revenue, we get the profit.

Option 3, 5x - 260, fits this pattern:

- Revenue: 5x

- Cost: 260

When we subtract the cost from the revenue:

Profit (P) = Revenue - Cost = 5x - 260

So, option 3, 5x - 260, is the expression that represents the profit.

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Complete question is:

If the profit is the difference between the revenue and the cost, what expression represents the profit?

1. 3x – 260

2. 3x + 140

3. 5x – 260

4. 5x + 140

Answer: The measure of ∠WRS is 25°.

Step-by-step explanation:

Got it right on edge.

An order of 660 units should be placed at the start of Week 2 to meet the demand requirement of 500 units at the start of Week 5.

We have,

To determine when and how large of an order should be placed to meet the demand requirement of 500 units of Item X at the start of Week 5, we need to consider the lead time and the planned receipts.

Given:

Demand requirement: 500 units at the start of Week 5

Lead time: 3 weeks

Planned receipts: 120 units in Week 1, 120 units in Week 3, and 100 units in Week 4

We can calculate the available inventory at the start of Week 5 by considering the planned receipts and deducting the units used during the lead time:

Available inventory at the start of Week 5

= Planned receipts in Week 1 + Planned receipts in Week 3 + Planned receipts in Week 4 - Units used during the lead time

Available inventory at the start of Week 5 = 120 + 120 + 100 - 500 = -160

The available inventory is negative, indicating a shortage of 160 units at the start of Week 5.

To meet the demand requirement, an order should be placed. Since the lead time is 3 weeks, the order should be placed 3 weeks before the start of Week 5, which is at the start of Week 2.

The order quantity should be the difference between the demand requirement and the available inventory, considering the shortage:

Order quantity = Demand requirement - Available inventory

= 500 - (-160)

= 660 units

Therefore,

An order of 660 units should be placed at the start of Week 2 to meet the demand requirement of 500 units at the start of Week 5.

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The function \(B(t) = 182(1.065)^t\) represents the annual population of bees in a county park, the growth rate is 6.5%.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

From the function \(B(t) = 182(1.065)^t\):

b = 1.065

Growth rate = 1.065 - 1 = 0.065 = 6.5%

The function \(B(t) = 182(1.065)^t\) represents the annual population of bees in a county park, the growth rate is 6.5%.

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Answer: b

Step-by-step explanation: krusty crab pizza is the pizza for you and me

Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

The probability of drawing two orange balls, given that at least one ball is orange, is 1/5.

There are a total of 6 possible outcomes when selecting 2 balls from the urn without replacement: (O,O), (O,B), (B,O), (B,B), (O,B), (B,O).

The event that at least one of the balls selected is orange corresponds to the outcomes (O,O), (O,B), and (B,O). The probability of this event is the sum of the probabilities of the individual outcomes:

P(at least one orange) = P(O,O) + P(O,B) + P(B,O)

To calculate the individual probabilities, we can use the formula for the number of combinations of n items taken k at a time:

C(n,k) = n! / (k! (n-k)!).

The probability of each outcome is the number of ways it can occur divided by the total number of possible outcomes:

P(O,O) = C(2,2) / C(4,2)

= 2! / (2! (2!)) / (4! / (2! (2!)))

= 1/6

P(O,B) = C(2,1) * C(2,1) / C(4,2)

= 2 * 2! / (1! (2!)) / (4! / (2! (2!)))

= 2/6

P(B,O) = P(O,B) = 2/6

So,

P(at least one orange) = 1/6 + 2/6 + 2/6

=> 5/6

And the probability that both balls are orange is:

P(both orange) = P(O,O) = 1/6.

So, the probability of drawing two orange balls, given that at least one ball is orange, is 1/5.

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ALL KITES ARE RECTANGLES

Answer:All kites are rectangles.

Step-by-step explanation: Just did the quiz

Answer:

55

Step-by-step explanation:

So we have the expression:

\(6x-5\)

And we want to find the value when x is 10. So, substitute 10 for x:

\(=6(10)-5\)

Multiply:

\(=60-5\)

Subtract:

\(=55\)

And we're done!

Answer:

B.) \(6^{\frac{1}{2}}\)

Step-by-step explanation:

Use the exponent rule that states \(a^{\frac{1}{m}}=\sqrt[m]{a}\).  For this problem, let

a=6

m=2

So,

\(\sqrt6=6^{\frac{1}{2}}\)

The ratios are equivalent by simplifying is shown below.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

We have first ratio 3:1

and, second 6:2 on simplifying we get 3:1.

and, third 9: 3 on simplifying we get 3:1.

and, Fourth 12:4 on simplifying we get 3:1.

So, all the ratio gave same value on Simplification which shows the ratios are Equivalent.

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