The table shows Tampa’s average monthly temperature and precipitation for 6 months in 2018.What is the value of r? Round to the nearest hundredth.

The graph which will represent the equation V=3t+9 is the red one in the following image:

Ted can clear a football field in 3 hours, while Jacob can clear it in 2 hours. When they work together, the time it takes to clear the field can be determined by solving the equation 1/3 + 1/2 = 1/t.

Let's consider the equation 1/3 + 1/2 = 1/t, where t represents the number of hours it would take Ted and Jacob to clear the field together. To solve for t, we need to find a common denominator for the fractions on the left-hand side. The least common multiple (LCM) of 3 and 2 is 6.

By multiplying the first fraction by 2/2 and the second fraction by 3/3, we can rewrite the equation as (2/6) + (3/6) = 1/t. This simplifies to 5/6 = 1/t.

To isolate t, we can take the reciprocal of both sides, giving us t/1 = 6/5. Cross-multiplying, we find t = 6/5 = 1.2.

Therefore, it will take Ted and Jacob 1.2 hours (or 1 hour and 12 minutes) to clear the football field together.

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Answer:

b = 4

Step-by-step explanation:

a^2 + b^2 = c^2

a = 3

b = b

c = 5

a^2 + b^2 = c^2

(3)^2 + b^2 = (5)^2

9 + b^2 = 25

b^2 = 25 - 9

b^2 = 16

√b^2 = √16

b = 4

Answer:

im sorry this is confusing

Step-by-step explanation:

Answer:

in one angle there is 90 degres

The recursive rule for the number of acres at the beginning of the nth day in a forest fire that grows by 20% each day and is battled by firefighters who can put out 15 acres per day is given by: A(n) = 1.2 * A(n-1) - 15, where A(n) represents the number of acres at the beginning of the nth day. Using this rule, we can calculate that there are 89.6 acres burning at the beginning of the 8th day.

Explanation: To determine the recursive rule for the number of acres at the beginning of the nth day, we need to consider the given information. The forest fire initially covers 60 acres and grows by 20% each day. This means that the number of acres at the beginning of the next day (n+1) is 1.2 times the number of acres at the beginning of the current day (n). However, the firefighters are able to put out 15 acres of fire per day.

Therefore, to calculate A(n), we start with the initial number of acres, which is 60, and apply the recursive rule. A(n) = 1.2 * A(n-1) - 15. This formula takes into account the growth of the fire by 20% and the reduction of 15 acres due to the firefighters' efforts. By substituting the values, we can calculate the number of acres at the beginning of each day.

To find the number of acres burning at the 8th day, we substitute n = 8 into the recursive rule. A(8) = 1.2 * A(7) - 15. We need to determine A(7) first by substituting n = 7, and so on, until we reach the initial value A(1) = 60. Once we have calculated A(8), we can determine that there are 89.6 acres burning at the beginning of the 8th day

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Answer:

9 degrees Celsius

Step-by-step explanation:

I graphed the function on the graph below to find the maximum of the parabola. The maximum is at (9,200), which means at 9 degrees Celsius, there are 200,000 fish.

The temperature at which there will be maximum number of fishes is given by the point (9, 200), is it is 9 degrees.

Given data:

To find the temperature that will result in the maximum number of fish, determine the x-value (temperature) at the vertex of the quadratic function.

The given function is P(x) = -2(x - 9)² + 200, where P(x) represents the fish population in thousands and x represents the water's temperature.

The general form of a quadratic function is y = a(x - h)² + k, where (h, k) represents the vertex of the parabola.

The vertex form of the function is P(x) = -2(x - 9)² + 200.

Comparing this to the general form, the vertex of the parabola is at the point (9, 200).

Hence, the temperature that will result in the maximum number of fish is 9 degrees (the x-value of the vertex).

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Therefore, the equation x^3 - 15x + c = 0 has at most one root in the interval (-2, 2).

To show that the equation x^3 - 15x + c = 0 has at most one root in the interval (-2, 2), we can use the concept of the Intermediate Value Theorem and Rolle's Theorem.

Let's assume that the equation has two distinct roots, denoted as a and b, in the interval (-2, 2). Without loss of generality, we assume a < b.

Since the function is continuous on the closed interval [-2, 2] and differentiable on the open interval (-2, 2), we can apply Rolle's Theorem. According to Rolle's Theorem, there exists a point c in the open interval (a, b) such that the derivative of the function at c is zero.

Consider the derivative of the function f(x) = x^3 - 15x + c:

f'(x) = 3x^2 - 15

Setting f'(c) = 0, we have:

3c^2 - 15 = 0

c^2 - 5 = 0

c^2 = 5

Taking the square root of both sides, we get:

c = ±√5

Now, let's consider the function values at the endpoints of the interval (-2, 2):

f(-2) = (-2)^3 - 15(-2) + c = -8 + 30 + c = 22 + c

f(2) = (2)^3 - 15(2) + c = 8 - 30 + c = -22 + c

If c = √5, then f(-2) = 22 + √5 and f(2) = -22 + √5.

If c = -√5, then f(-2) = 22 - √5 and f(2) = -22 - √5.

In either case, the function values at the endpoints have different signs. This implies that there exists at least one value, say k, in the interval (-2, 2) such that f(k) = 0, according to the Intermediate Value Theorem.

However, we assumed at the beginning that there are two distinct roots in the interval (-2, 2), denoted as a and b. This contradicts our finding that there is at most one root in the interval. Hence, our assumption of having two distinct roots is false.

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Answer:

AC and DE are parallel to each other, and DE is half the length of AC.

Step-by-step explanation:

Here is the answer from Plato. Hope this helps :)

Answer:

\(8x^{2} - 15y^{2} + xy\)

Step-by-step explanation: If you need an explanation let me know, I'd rather not waste time if you're just going to plug the answer in.

The mean e(t) is 48.393 and the standard deviation sd(t) is approximately 2.850.

To determine the mean e(t) and standard deviation Sd(t) of the relay team's total time in the medley event, we need to calculate the weighted average and standard deviation of each swimmer's time.

The mean e(t) is calculated by adding up the product of each swimmer's time and the corresponding weight (number of strokes) and dividing it by the total weight.

\(e(t) = (49.39 * 2 + 55.67 * 1 + 48.76 * 3 + 45.8 * 4) / (2 + 1 + 3 + 4)\)

Calculating this expression, we get:

\(e(t) = (98.78 + 55.67 + 146.28 + 183.2) / 10\)

\(e(t) = 483.93 / 10\)
\(e(t) = 48.393\)

So, the mean e(t) is 48.393.

To calculate the standard deviation sd(t), we need to find the weighted variance and then take its square root.

First, we calculate the weighted variance by summing up the products of each swimmer's squared time difference from the mean and the corresponding weight, and dividing it by the total weight.

variance(t) = \([(2 * (49.39 - 48.393)^2) + (1 * (55.67 - 48.393)^2) + (3 * (48.76 - 48.393)^2) + (4 * (45.8 - 48.393)^2)] / (2 + 1 + 3 + 4)\)

Calculating this expression, we get:

variance(t) =\([2 * (0.997)^2 + 1 * (7.277)^2 + 3 * (0.367)^2 + 4 * (-2.593)^2] / 10\)
variance(t) =\([2 * 0.994 + 1 * 52.94 + 3 * 0.135 + 4 * 6.713] / 10\)
variance(t) =\((1.988 + 52.94 + 0.405 + 26.852) / 10\)

variance(t) =\(81.185 / 10\)

variance(t) = \(8.119\)

Finally, taking the square root of the variance gives us the standard deviation sd(t):

\(sd(t) = √8.119\)

\(sd(t) ≈ 2.850\)

So, the standard deviation sd(t) is approximately 2.850.

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The algebraic expression for this phrase is 7x - 8, where x is the number.

To explain this expression, we must consider what it means. The phrase "eight less than the product of 7 and a number" means that we are to take the product of 7 and some other number, and then subtract 8 from that product. The product of 7 and any number is written as 7x. So, 7x is the product of 7 and some number, x. We then subtract 8 from that product, so our expression looks like 7x - 8.To illustrate this expression, let's use an example. Let's say that x is equal to 5. The expression 7x - 8 would be equal to 7(5) - 8, which can be calculated as 35 - 8, or 27. This means that the phrase "eight less than the product of 7 and a number" is equal to 27 when the number is equal to 5.To sum up, the phrase "eight less than the product of 7 and a number" is written as an algebraic expression as 7x - 8, where x is the number. This expression means that we should take the product of 7 and some other number, and then subtract 8 from that product. Using an example with x equal to 5, the expression 7x - 8 would be equal to 27.

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Answer:

"sixty-three hundredths of a Kilometer"

Step-by-step explanation:

Decimal measurements are read based on the place of their digits. In this case, Ajay would read this measurement as "sixty-three hundredths of a Kilometer". This is because the final digit of the decimal form measurement is in the "hundredths" position. One more to the right and it would be in the "thousandths" while one more to the left would be the "tenths"

The equation of the line that passes through (2, −6) and is perpendicular to y = 2/3x + 4 is y = -3/2x - 3.

The equation of a line in point slope form is expressed as;

y - y₁ = -1/m(x-x₁)

Given the equation of a line y = 2/3x + 4, the slope is 2/3.

Substitute the slope and the point into the equation to have:

m = 2/3

(x₁, y₁) = (2, -6)

Substitute

y-(-6) = -3/2(x-2)

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

2(y+6) = -3(x-2)

2y + 12 = -3x + 6

2y = -3x  + 6 - 12

2y = -3x - 6

y = -3/2x - 3

This gives the required equation of the line.

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Fingerprinting is a technique used by forensic experts and crime scene investigators to identify individuals based on their unique fingerprints. Fingerprints are unique to each individual and have distinct ridge patterns that are used to identify individuals.

It is an effective way of identifying people because fingerprints remain the same throughout a person's life, unlike other physical characteristics.

When fingerprinting a person who is missing fingers, two notations that should be used on the fingerprint card are "amputation" and "absent." The notations on the fingerprint card should indicate that the fingers are missing due to amputation or absence.

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When fingerprinting a person missing fingers, the two notations that should be used on the fingerprint card are tented arch for a missing middle finger and amputation notation for a completely missing finger.

When fingerprinting a person who is missing fingers, two notations should be used on the fingerprint card:

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answer: m=1

work:

3/2 + 2m = 7/2

3/2 (-3/2) + 2m = 7/2 (-3/2)      subtract 3/2 from both sides

2m = 2

2m/2 = 2/2    divide 2 on both sides

m = 1

Answer:

15

Step-by-step explanation:

the range is the largest number take away the smallest number

56-41=15

The numbers are as follows, going from lowest to highest:

-4.2, -3.5, -2.1, -1.5, -1, -0.5, 0.5, 3.5, 4.8.

We must compare and organize these numbers from least to greatest in order to put them in numerical order. The two smallest figures, which are -4.2 and -3.5, can be used as a starting point. Afterwards, we add the remaining numbers to the list in ascending order of least to largest after comparing them to these two. We arrive at the list above after continuing this approach.

Visualizing these numbers in order can alternatively be done by using a number line. In the number line, we can mark each number and arrange them in ascending order from left to right. We can see from the number line that the least number is -4.2.

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The man’s son. Since the man has no brothers and the father of the man in the photograph is the man’s father’s son, the father of the man in the photograph must be the man. That means that the man in the photograph is the man’s son.

Answer:

16 - 9 = x

i thonk :0

or 16 - 9 = 7

Step-by-step explanation:

Answer:

3,300

Step-by-step explanation:

Answer:

y = 2x-3

Explanation:

By definition, two lines are parallel if they have the same slope.

Given the equation for a line:

Comparing the given line with the slope-intercept form of a line:

Thus, we want to find the equation of the line with the following properties:

• Slope: m = 2

• Point: (x1,y1)=(2,1)

In order to do this, we employ the use of the point-slope form of the equation of the line:

We then simplify:

The equation of the parallel line is y=2x-3.

Answer:

456

Step-by-step explanation:

Answer:

i think its 0.09

Step-by-step explanation:

Answer:

Step-by-step explanation:

The small square extends from x=1 to x=4, so its side length is 4-1 = 3.

The large square extends from x=4 to x=16, so its side length is 16-4 = 12.

The scale factor is ...

  large/small = 12/3 = 4

or

  small/large = 3/12 = 1/4

We don't know which way you're scaling, so choose the factor appropriate to your question.

Answer:

triangle?duh ..........

Answer:

8 : 3

Step-by-step explanation:

chickens: pigs

16             : 6

Divide each side by 2

16/2           : 6/2

8                : 3

The simplified ratio is 8 : 3

Answer:

Step-by-step explanation:

The ratio of chickens to pigs are 16 to 6

We have to simplify the ratio

so,

If 75 grams of ice cream contains 10 grams of fat, then 150 grams of ice cream would contain 20 grams of fat. The amount of fat is directly proportional to the weight of the ice cream.


We can set up a proportion to solve the problem. Let x represent the unknown amount of fat in 150 grams of ice cream. According to the given information, we have the proportion:
10 grams of fat / 75 grams of ice cream = x grams of fat / 150 grams of ice cream
To solve for x, we can cross-multiply and then divide:
10 * 150 = 75 * x
1500 = 75x
X = 1500 / 75 = 20
Therefore, 150 grams of ice cream would contain 20 grams of fat. This is because the ratio of fat to ice cream remains constant, so we can use this proportion to find the missing value.

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Answer:

Median

Step-by-step explanation:

Mean

The sum of all data values divided by the total number of data values.

\(\implies \textsf{Mean}=\dfrac{120+71+80+14+90+117}{6}=82\)

Median

The middle value when all data values are placed in order of size.

If there are an even number of data values, the median is the mean of the middle 2 data values.

Ordered data values:  14, 71, 80, 90, 117, 120

\(\implies \textsf{Median}=\dfrac{80+90}{2}=85\)

Therefore, as 85 > 82, the Median gives James the highest average score.