Among 200 people, 150 either swim or jog or both. If 85 swim and 60 swim and jog, how many jog? Explain it

It will take Dionne 60 minutes and Elia 70 minutes to fold 210 packing boxes.

To find the unit rate for each person, divide the number of boxes they can fold by the time it takes them to fold them:

Dionne: 175 boxes / 50 minutes = 3.5 boxes/minute

Elia: 120 boxes / 40 minutes = 3 boxes/minute

Next, divide the total number of boxes to be folded (210) by each person's unit rate:

Dionne: 210 boxes / 3.5 boxes/minute = 60 minutes

Elia: 210 boxes / 3 boxes/minute = 70 minutes

So, it will take Dionne 60 minutes and Elia 70 minutes to fold 210 packing boxes.

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Answer:

cindy is 51

Step-by-step explanation:

70 divided by 2 is 45

45+ 6 is 51

Answer:

-17/10

Step-by-step explanation:

you have to find a common denomentaor first wich would be 10

then you have to mutiply -4/5 by 2 which would be -8/10

and then you would do regular subtraction

but since its a negative number your gonna actually add but then the final answer will be negative

-17/10

hope this helps I really suck with fractions

Stephen's net income is $287.78.

Stephen earns $11 per hour at his job and worked for 32 hours. The gross income (income before deduction) is:

gross income = 11 * 32 = $352

Stephen's net income is the money left afer deducting federal income tax, Social Security, and Medicare.

Net income = $352 -  $37.30 -  $21.82 -  $5.10

Net income = $287.78

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Answer:

You can use Protector' but dint have use this method:

Acute. Draw a vertical line connecting the 2 rays of the angle. To determine the number of degrees in an acute angle, connect the 2 rays to form a triangle. Line up the short end of your ruler with the bottom ray, then draw a vertical line intersecting the other ray using the long side of your ruler.

Answer:

Discrete

Step-by-step explanation:

Discrete is the type of variable in which the number of auto accidents reported in a given month q

Discrete data is a count that uses integers and has a finite number of potential values. This sort of information can't be broken down into smaller chunks. Discrete data consists of finite, numeric, countable, and non-negative integers with discrete variables.

As we know that the number of auto accidents that can be reported in a month will be always a whole number, therefore, the number of accidents can be represented as 0, 1, 2,..., 1000, etc.

Thus, the type of variable is the number of auto accidents reported in a given month is Discrete.

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It's difficult to determine the validity of Georgia's conclusion without more information about her sampling method. If Georgia used a random sampling method where each student at Jones Middle School had an equal chance of being selected to participate in the survey, then her conclusion could be considered more valid.

b. To conduct the survey to get the most valid conclusion from the most representative sample, she could use a random sample.

In addition, the sample size and the margin of error of the survey are important factors to consider when evaluating the validity of the conclusion.

Georgia could consider using a random sampling method where each student at Jones Middle School has an equal chance of being selected to participate in the survey. She could also increase the sample size to get a more accurate representation of the entire student population. It would also be important to consider the margin of error and confidence level of the survey to ensure that the results are reliable. Finally, Georgia could also consider stratifying her sample by grade level or other relevant factors to ensure that the sample is representative of the entire student population at Jones Middle School.

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(a) 1. If A, then B: True

2. If B, then A: False

3. A if and only B: False

(a) If a polygon PQRS is a rectangle, it is also a parallelogram, as all rectangles are parallelograms.

Therefore, the statement "If A, then B" is true. However, if a polygon is a parallelogram, it does not necessarily mean it is a rectangle, as parallelograms can have other shapes. Hence, the statement "If B, then A" is false. The statement "A if and only B" is also false since a rectangle is a specific type of parallelogram, but not all parallelograms are rectangles. Therefore, the correct answer is: If A, then B is true, If B, then A is false, and A if and only B is false.

(b) 1. If A, then B: True

2. If B, then A: False

3. A if and only B: False

(b) If Joe is a grandfather, it implies that Joe is male, as being a grandfather is a role that is typically associated with males. Therefore, the statement "If A, then B" is true. However, if Joe is male, it does not necessarily mean he is a grandfather, as being male does not automatically make someone a grandfather. Hence, the statement "If B, then A" is false. The statement "A if and only B" is also false since being a grandfather is not the only condition for Joe to be male. Therefore, the correct answer is: If A, then B is true, If B, then A is false, and A if and only B is false.

(c) 1. If A, then B: True

2. If B, then A: True

3. A if and only B: True

(c) If x is greater than 0 (x > 0), it implies that x squared is also greater than 0 (x^2 > 0). Therefore, the statement "If A, then B" is true. Similarly, if x squared is greater than 0 (x^2 > 0), it implies that x is also greater than 0 (x > 0). Hence, the statement "If B, then A" is also true. Since both statements hold true in both directions, the statement "A if and only B" is true. Therefore, the correct answer is: If A, then B is true, If B, then A is true, and A if and only B is true.

(d) 1. If A, then B: False

2. If B, then A: False

3. A if and only B: False

(d) If x is less than 0 (x < 0), it does not imply that x cubed is less than 0 (x^3 < 0). Therefore, the statement "If A, then B" is false. Similarly, if x cubed is less than 0 (x^3 < 0), it does not imply that x is less than 0 (x < 0). Hence, the statement "If B, then A" is false. Since neither statement holds true in either direction, the statement "A if and only B" is also false. Therefore, the correct answer is: If A, then B is false, If B, then A is false, and A if and only B is false.

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Answer: 15

Step-by-step explanation:

General terms in AP

f, f+d, f+2d, f+3d, ....  , where f= first term and d= common difference.

The given A.P. : 18, a, b, - 3

here, f= 18    

\(f+d= a ...(i)\\\\f+2d = b ...(ii)\\\\f+3d= -3 ...(iii)\\\\\)

Put f= 18 in (iii) ,

\(18+3d=-3\\\\\Rightarrow\ 3d= -3-18\\\\\Rightarrow\ 3d= -21\\\\\Rightarrow\ d=-7\)

Put f= 18 and d= -7 in (i) and (ii) , we get

\(a=18+(-7)=11\\\\b=18+2(-7)\\\\\Rightarrow\ b=18-14\\\\\Rightarrow\ b=4\)

Now, \(a+b= 11+4=15\)

Hence, the correct answer is "15".

Answer:

where t is in hours since midnight and f(t) represents thousands of gallons of water. The amount of treated water at any given time, t, can be modeled by g(t) = 30e^cos(/2)a) Define a new function, a(t), that would represent the amount of untreated water inside the plant, at any given time, t.b) Find a′ (t).c) Determine the critica

Donte did a mistake that 'he did not apply the distributive property correctly for 4(1 3i)' option (A) is correct.

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have an expression:

= 4(1 + 3i) – (8 – 5i)

= 4 + 12i - 8 + 5i  

He did not distribute the subtraction sign correctly for 8 – 5i.

= -4 + 17i

Thus, Donte did a mistake in that 'he did not apply the distributive property correctly for 4(1 3i)' option (A) is correct.

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Answer:

(A) is correct.

Step-by-step explanation:

As for writing an equivalent inequality in terms of m, we can consider the original inequality -m ≥ 4 - m ≥ 4. Since this inequality does not hold true for any value of m, we cannot write an equivalent inequality.

To determine the values that make the inequality -m ≥ 4 - m ≥ 4 true, let's examine the given options:

-9, -5, -4.1

-4, -3.9, -3

-1, 0, 1

3, 3.9, 4

4.1, 5, 9

We need to identify the values that satisfy the inequality -m ≥ 4 - m ≥ 4.

Considering the inequality -m ≥ 4 - m, we can simplify it as follows:

-m ≥ 4 - m

-m + m ≥ 4 - m + m (adding m to both sides)

0 ≥ 4 (simplifying)

Since 0 is not greater than or equal to 4, this inequality is not true for any value of m.

Therefore, there are no values from the given options that satisfy the inequality -m ≥ 4 - m ≥ 4.

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Money market mutual funds provide attractive competition for bank deposits because they offer potentially higher returns and greater flexibility compared to traditional bank savings accounts.

Money market mutual funds invest in short-term, low-risk securities such as Treasury bills, certificates of deposit, and commercial paper, aiming to provide a higher yield than standard savings accounts. These funds typically offer competitive interest rates and may have lower fees compared to traditional banking products. Additionally, money market mutual funds often allow investors to access their funds easily and quickly, providing greater liquidity and flexibility compared to bank deposits. This combination of potentially higher returns, lower fees, and greater flexibility makes money market mutual funds an appealing alternative for individuals seeking to maximize their returns on short-term investments.

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Answer:

60 is the answer got tho

The two angles shown are vertical angles which are the same.

x+10 = 59

Subtract 10 from both sides:

x = 49

Answer:

1. 420 + 14 2.434 3. (7 x 60) + (7 x 2) 4. (60 + 2) 5. 762

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

a)  $324,000

b)  $291,600

c)  $259,200

Step-by-step explanation:

The percentage of the replacement value represents how much of the house will be insured.

a)  100% of 324000 = 1.00 * 324000 = $324,000

b)  90% of 324000 = 0.9 * 324000 = $291,600

c)  80% of 324000 = 0.8 * 324000 = $259,200

Therefore, the solution of the given differential equation using Laplace transform is:\($$f(x) = e^{-x}\cos(x)$$\)

The differential equation given is f'' + 2f' + 2f = 0. We have to find the solution of this differential equation using the Laplace transform.Initial Value ProblemWe have the following Initial Value Problem for the differential equation: f'' + 2f' + 2f = 0 f(0) = 0 f'(0) = 1Laplace Transform of the differential equation

Now, we will calculate the Laplace transform of the second order derivative of f. \($$L(f'') = p^2 F(p) - p f(0) - f'(0)$$\)

On comparing the above equation with the standard form of the Laplace transform, we get\(:$$L^{-1}(F(p)) = e^{-x}\cos(x)$$\)

Therefore, the solution of the given differential equation using Laplace transform is:\($$f(x) = e^{-x}\cos(x)$$\)

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Answer:

x = -3/5

Step-by-step explanation:

4x-3=9x

-9x -9x

-5x-3=0

+3 +3

-5x/-5=3/-5

x = -3/5

Answer:

x=-0.6 or -3/5

Step-by-step explanation:

4x-3=9x

4x-9x=3

-5x=3

-5x/-5=3/-5

x=-3/5

or x= -0.6

An equation for the perpendicular bisector of the line segment whose endpoints are (−4,−1) and (8,-5) is \(y=-\frac{1}{3} x-\frac{7}{3}\)

Find the line \($y=m x+b$\) passing through \($(-4,-1),(8,-5)$\)

Compute the slope \($(-4,-1),(8,-5): \quad m=-\frac{1}{3}$\)

Compute the \($y$\) intercept: \($\quad b=-\frac{7}{3}$\)

Construct the line equation \($y=m x+b$\) where \($m=-\frac{1}{3}$\) and \($b=-\frac{7}{3}$\)

\(y=-\frac{1}{3} x-\frac{7}{3}\)

A perpendicular bisector can be defined as a line that intersects another line segment perpendicularly and divides it into two parts of equal measurement. We can draw a perpendicular bisector using a rule, a compass and a pencil.

Two lines are said to be perpendicular to each other when they intersect each other at 90 degrees or at right angles. And, a bisector is a line that divides a line into two equal halves. Thus, a perpendicular bisector of a line segment AB implies that it intersects AB at 90 degrees and cuts it into two equal halves.

A line segment that bisects another line segment at a 90° angle is known as a perpendicular bisector. In other words, a perpendicular bisector divides a line segment into two equal parts by intersecting it at a 90° angle.

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Answer:

1 1/2

Step-by-step explanation:

The difference quotient for the given function is 9 -2/h.

The difference quotient for the given function can be calculated as:

[f(x+h) - f(x)]/h

= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h

= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h

= (6xh + 3h² - 2h)/h

= (6x + 3h -2)/h

Simplifying the expression further, we get:

(6x + 3h -2)/h = 6 + 3h/h -2/h

= 6 + 3 -2/h

= 9-2/h

Therefore, the difference quotient for the given function is 9 -2/h.

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"Your question is incomplete, probably the complete question/missing part is:"

Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.

f(x)=3x² -2x+5. Simplify your answer as much as possible.

The incorrect statement about mean is half of the numerical values in a data set are greater than the mean and half of the numerical values are less than the mean. (option c).

Let's first assume that our data set has an even number of values. In this case, we can divide the data set into two equal halves, where the first half contains the lowest values and the second half contains the highest values.

For example, consider the data set {2, 4, 6, 8, 10, 12}. We can divide this data set into two halves as follows:

First half: {2, 4, 6}

Second half: {8, 10, 12}

The mean of the entire data set is calculated as:

mean = (2 + 4 + 6 + 8 + 10 + 12) / 6

= 42 / 6

= 7

Now, notice that in this data set, half of the values (i.e., the first half) are less than the mean (7), while the other half (i.e., the second half) are greater than the mean. This is true for any data set with an even number of values.

Based on the example the option (c) is correct.

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Answer:

Step-by-step explanation:

if the container holds 25 lBS, that represents 100%

if there are 12.5 lbs now in the container, that represents 50%

If the area between the function and the -axis on the interval [a, b] is 10 and the function is continuous on and on, then the average value of the function on this interval is between m and M, where m and M are the lower and upper bounds for the function on the interval.

To find the average value of a continuous function on an interval, we need to use the following formula:
Average value = (1 / b-a) * ∫[a,b] f(x) dx
where a and b are the endpoints of the interval, and ∫[a,b] f(x) dx represents the definite integral of the function over the interval.
In this case, we are given that the area between the function and the -axis on the interval [a, b] is 10. This means that ∫[a,b] f(x) dx = 10.
We don't know the values of a and b, but we do know that the function is continuous on and on, which means that it is continuous on the entire interval [a, b]. Therefore, we can assume that the function is integrable on this interval.
To find the average value of the function, we need to know the length of the interval [a, b]. This is given by the difference between the endpoints: b-a.
We don't know the value of b-a, but we do know that the function is continuous on and on, which means that it is bounded on this interval. This means that there exist numbers M and m such that m ≤ f(x) ≤ M for all x in [a, b].
We can use this information to find an upper bound and a lower bound for the average value of the function:
Lower bound = (1 / (b-a)) * ∫[a,b] m dx = m
Upper bound = (1 / (b-a)) * ∫[a,b] M dx = M
Therefore, the average value of the function on the interval [a, b] is between m and M. We cannot determine the exact value of the average value without knowing more information about the function or the interval.
In summary, if the area between the function and the -axis on the interval [a, b] is 10 and the function is continuous on and on, then the average value of the function on this interval is between m and M, where m and M are the lower and upper bounds for the function on the interval. The length of the interval [a, b] and the exact value of the function would be needed to find the exact value of the average value.

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The areas of both parallelograms compare in that: They both have the same area

The coordinates of Parallelogram ABCD are given as:

A(4, 2), B(7, 2), C(4, 6), D(1, 6).

The coordinates of Parallelogram EFGH are:

E(-2, 2), F(-5, 2), G(-6, 6), and H(-3, 6)

The area of a parallelogram is given by the formula:

Area = base * height

So: To do this, we plot ABCD and EFGH on a grid, then we measure the base and the height of both.

For ABCD:

base = 3

height = 4

Area = 3 * 4 = 12 sq.units

For EFGH, we have same thing:

Area = 3 * 4 = 12 sq.units

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Complete question is:

On a coordinate plane, parallelograms A B C D and E F G H are shown. Parallelogram A B C D has points (4, 2), (7, 2), (4, 6), (1, 6). Parallelogram E F G H has points (negative 2, 2), (negative 5, 2), (negative 6, 6), and (negative 3, 6). How do the areas of the parallelograms compare? The area of parallelogram ABCD is 4 square units greater than the area of parallelogram EFGH. The area of parallelogram ABCD is 2 square units greater than the area of parallelogram EFGH. The area of parallelogram ABCD is equal to the area of parallelogram EFGH. The area of parallelogram ABCD is 2 square units less than the area of parallelogram EFGH.

Three circles of radius s are drawn in the first quadrant of the xy-plane.

\($r/s$\\\) =9/1 =9

Set \($s$\) =1 so that we only have to find \($r$\).

Draw the segment between the center of the third circle and the large circle; this has length \($r+1$\). We then draw the radius of the large circle that is perpendicular to the x-axis, and draw the perpendicular from this radius to the center of the third circle.

This gives us a right triangle with legs \($r-3,r-1$\)and hypotenuse \($r+1$.\)

The Pythagorean Theorem yields:

\($(r-3)^2 + (r-1)^2 = (r+1)^2$$r^2 - 10r + 9 = 0$$r = 1, 9$Quite obviously $r > 1$, so $r = 9 \boxed{(D)}$.\)

Three circles of radius s are drawn in the first quadrant of the x y -plane.

\($r/s$\\\) =9/1 =9

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