For a science project, Chase recorded the amount of rainfall for 6 weeks. The line plot shows the amounts of rainfall he recorded. How many inches of rainfall were recorded?

The correct representation of the function is h(x) = 0.08x

What is function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.

Solution:

Given data:

Sales tax is a function of the price of an item.

Let h be the function.

Take x be the price of an item.

Amount of sales tax = 0.08 times price of the item

                                 = 0.08 × x

Amount of sales tax = 0.08x

⇒ h(x) = 0.08x

Hence the function is h(x) = 0.08x.

Option C is the correct answer.

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The variance of a sample or a population cannot be negative. This means that option c, negative, is the correct answer.

Variance is a statistical measure that quantifies the dispersion or spread of data points around the mean. It tells us how much the individual data points deviate from the average. The variance is always a non-negative value because it is calculated by summing the squared differences between each data point and the mean, divided by the total number of data points.
If the variance were negative, it would imply that the sum of the squared differences between each data point and the mean is less than zero. However, this is not possible because squared differences are always positive or zero.
On the other hand, options a, zero, and d, less than 1, are incorrect. The variance can be zero if all the data points in the sample or population are the same, indicating no dispersion. Additionally, the variance can be any positive value, including values less than 1.
To summarize, the variance of a sample or a population cannot be negative, making option c, negative, the correct answer.

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Answer:

Option D.

Step-by-step explanation:

We are given with three function.

Plug in x=-2 in first functionf(x)= 3 so f(-2) = 3Plug in x=-2 in second function.

Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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Microliters (µL) and liters (L) are both units of volume measurement. A microliter is a very small unit of volume, equivalent to one millionth of a liter. To convert microliters to liters, we can use a simple conversion factor.

The conversion factor is based on the fact that one liter is equivalent to one million microliters. Therefore, to convert microliters to liters, we divide the number of microliters by one million. This can be expressed as:

L = µL / 1,000,000

For example, if we have a volume of 500 µL that we want to convert to liters, we can use the formula above as follows:

L = 500 µL / 1,000,000

L = 0.0005 L

Therefore, 500 µL is equivalent to 0.0005 liters.

It is important to keep track of the units when making conversions and to use appropriate significant figures. Additionally, it is worth noting that microliters are often used in situations where very small volumes are involved, such as in medical or laboratory settings, whereas liters are used for larger volumes such as in the context of cooking or liquid measurements.

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The total number of pizzas that are possible between zero and ten toppings is 1024 pizzas.

Combinations in probability theory and other areas of mathematics refer to a sequence of outcomes where the order does not matter.

For example, when you're ordering a pizza, it doesn't matter whether you order it with ham, mushrooms, and olives or olives, mushrooms, and ham.

Total number of pizzas that are possible between zero and ten toppings is calculated as follows;

p = 2¹⁰ = 1024 pizzas

Thus, the total number of pizzas that are possible between zero and ten toppings is 1024 pizzas.

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The probability of drawing a card that is both odd and divisible by 4 from a deck of 16 cards numbered 1 through 16 is 0.

To see why, note that a number that is both odd and divisible by 4 does not exist in the given set of numbers. Every even number in the set is divisible by 2 but not 4, while every multiple of 4 in the set is even and not odd. Therefore, the intersection of the sets of odd and multiples of 4 is the empty set, and the probability of drawing a card that belongs to this set is 0.

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Answer:

x = 12; m<ABC = 76

Step-by-step explanation:

The two angles whose measures are given form a linear pair. Therefore, they are supplementary angles, and their measures add up to 180 degrees.

8x - 20 + 116 - x = 180

7x + 96 = 180

7x = 84

x = 12

The angle with measure 8x - 20 and angle ABC are vertical angles. That means that their measures are equal.

m<ABC = 8x - 20 = 8(12) - 20 = 96 - 20 = 76

Answer: x = 12; m<ABC = 76

Answer:

5 hours 30 min

Step-by-step explanation:

Answer:

672 litres.

Step-by-step explanation:

Convert the measurements to cm:

14 m = 1400 cm

The capacity = 1400 * 8 * 60

= 672,00 cm^3

There are 1000 cm^3 in 1 litre so the answer is

672 litres.

The length of one side of the box is 10 inches.

Suppose that: The side length of the considered cube is L units.

Then, we get the Volume of that cube = L³ cubic units.

The volume of a cube is of the form V =  L³, where L is the side length.

Given that the shipping box has a volume of 1,000 cubic inches.

Here, we know the volume V, but not the measure of length. So, we can plug in the value 1000 for V and solve for L:

1000 =  L³

Cube root both sides:

L = \(\sqrt[3]{1000}\)

Therefore, each side is 10 inches.

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Answer:

no solution

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

175000 km

Step-by-step explanation:

the 1:25000 essentially means that every centimeter represents 25000 kilometers. so the answer is 175000 by multiplying 7 and 25000

Step-by-step explanation:

6x - x² = k

=> x² - 6x + k = 0,

For there to be at least 1 real solution,

The discriminant b² - 4ac must be at least 0.

We have (-6)² - 4(1)(k) >= 0.

Therefore 36 - 4k >= 0, k <= 9.

Hence the largest value of k is 9.

Answer:

9

Step-by-step explanation:

Rearranging, this is the equation x^2 - 6x  = -k. Completing the square, we add 9 to both sides, and x^2 - 6x + 9 = 9 - k. Factoring the left side, we have (x - 3)^2 = 9 - k. In order for this equation to have at least one real solution, the right-hand side must be nonnegative. Thus, we have 9 - k \(\geq\) 0 and k \(\leq\) 9. Thus, the largest possible value of k is 9.

Answer:

2 radians

Step-by-step explanation:

the arc length is calculated as

arc = circumference of circle × fraction of circle

let x be the central angle , then

arc = 2πr × \(\frac{x}{2\pi }\) ( cancel 2π on numerator and denominator )

    = 2r × x

given arc length = 40 , then

2 × 10 × x = 40

20x = 40 ( divide both sides by 20 )

x = 2

the central angle has a measure of 2 radians

Answer:

Its 514.23

Step-by-step explanation:

I just answered this question and I got it correct

Answer:

x₁ = 3,29296875

x₂ = 3,276659786

x₃ = 3,279420685

Step-by-step explanation:

This is a recurrent relationship between xₙ₊₁ and xₙ

To get x₁, write the formula with n=0:

\(x_1 = 3+ \frac{3}{x_0^2}\)

Then fill in what you know, x₀=3.2. This gives you x₁.

Repeat for n=1,... and so forth.

Excel can do this effectively, see picture.

Answer:

∠ 6 = 55°

Step-by-step explanation:

∠ 2 and ∠ 6 are corresponding angles and are congruent , then

∠ 6 = ∠ 2 = 55°

Answer:

$120,000

Step-by-step explanation:

Given that

The price of the new car is $750,000

And, the saving percent is 16%

We need to find out the saving amount for the deposit

SO, the saving amount is

= $750,000 × 16%

= $120,000

We simply multiply these two to each other so that the saving amount could come

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"

By the use of the completing the square method, the maximum height of the path of the water 3 ±√29/4 + 9 m.

What is called distance?

h = -4x² +24x -29

Now we have;

0 = -4x² +24x -29

-4x² +24x -29= 0

x² - 6x = -29/4

(x - 3)² = -29/4 + 3²

(x - 3)² =  -29/4 + 9

x = 3 ±√29/4 + 9 m

Therefore, the maximum height of the path of the water  x = 3 ±√29/4 + 9 m

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Yes, it is True. If we change the constraint quantity to a value outside the range of feasibility for that constraint quantity, the shadow price will change.

The shadow price is the marginal value of the constraint quantity, and it represents the increase in the objective function per unit increase in the constraint quantity. If the constraint quantity is changed to a value outside the range of feasibility, the shadow price will change because the relationship between the objective function and the constraint quantity has changed. The change in shadow price will depend on how the constraint affects the objective function, but it is typically that the shadow price will increase as the constraint becomes more binding.

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The equation is: G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

The formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the graph, we see that:

y-intercept = 15 gallons

Now, the slope is gotten from the formula:

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope = (10 - 5)/(4 - 8)

Slope = -⁵/₄

Thus, equation is:

G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

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Answer:

because 7*3*4 is 88 ft^3

The numerical value of 1.2 × 1.222 is approximately 1.4664.

To calculate the numerical value of 1.2 × 1.222, we multiply the two numbers together. Let's break it down step by step:

Start with the multiplication operation: 1.2 × 1.222.

Multiply the decimal numbers without considering the decimal point. We have 12 × 1222.

Perform the multiplication of the whole numbers: 12 × 1222 = 14,664.

Count the total number of decimal places in both factors. In this case, we have one decimal place in 1.2 and three decimal places in 1.222.

Add the total number of decimal places from both factors. 1 + 3 = 4.

Place the decimal point in the product by counting four places from the right of the final result obtained in step 3.

The final result is 14,664, with the decimal point placed four places from the right, giving us 1.4664. Therefore, the numerical value of 1.2 × 1.222 is approximately 1.4664.

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