Use the table to write an expression that shows how many total baskets the Cavaliers made during the season. Simplify the expression.​

The function that grows at the fastest rate for increasing values of x is f(x) = 4×2ˣ.

We can see this by comparing the growth rates of the three functions for larger and larger values of x.

As x gets larger, the exponential function f(x) grows much faster than the other two functions, which are both polynomial functions.

if we plug in x = 10, we get:

f(10) = 4×2¹⁰ = 4×1024 = 4096

h(10) = 9×10² + 25 = 925

g(10) = 15×10 + 6 = 156

As we can see, f(10) is much larger than h(10) and g(10), indicating that f(x) grows at a much faster rate than the other two functions.

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Answer: Let's start by representing the number of bicycles and scooters using variables.

Let the number of bicycles be 4x, and the number of scooters be 6x (since the ratio of bicycles to scooters is 4:6, which simplifies to 2:3, and we can assign a value of 2 to 4x, so that 6x is equal to 3 times that value, or 6x = 3(4x) = 12x).

The total number of bicycles and scooters is given as 140, so we have:

4x + 6x = 140

Simplifying, we get:

10x = 140

x = 14

So there are 4x = 56 bicycles and 6x = 84 scooters.

We know that 25% of the scooters use electricity, so the number of scooters that use electricity is:

25% of 84 = 0.25 * 84 = 21

We also know that 1/7 of the scooters use petrol. To find out how many scooters that is, we can divide the total number of scooters by 7, and then multiply by 1:

1/7 of 84 = (1/7) * 84 = 12

Therefore, the total number of scooters that use either electricity or petrol is 21 + 12 = 33.

Since there are 84 scooters in total, the remaining scooters must use LPG:

84 - 33 = 51

So, the number of scooters that use LPG is 51.

By determining the total number of scooters from the total given and the ratio, we can then calculate the proportion that use LPG by subtracting the proportion using other fuels from the total. This gives us 51 scooters using LPG out of 84 total scooters.

To find the number of scooters that use LPG, we first need to determine the total number of scooters from the given total and ratio. The ratio of bicycles to scooters is given as 4:6, this sums to 10 parts in total. Thus, each part represents 140 / 10 = 14 vehicles.

As the ratio for scooters is 6, we multiply this by the value of each part to find the total number of scooters, which yields 6 * 14 = 84 scooters.

We are told 25% or 1/4 of the scooters use electricity and 1/7 use petrol. Adding these fractions, 1/4 + 1/7 gives a fraction of 11/28 scooters using either electricity or petrol.

Subtracting this from 1 gives the fraction of scooters using LPG, which is 1 - 11/28 = 17/28.

Multiplying this fraction by the total number of scooters, 17/28 * 84, we find the number of scooters using LPG is 51.

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The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

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Answer:

18m X 6m

Step-by-step explanation:

math i don't know how to explain

Answer:

1, 3 and 4 options are true about the data.

Answer:

A.

C.

D.

Step-by-step explanation:

Study Island says so.

Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

Answer: \(m\angle DE F=90^{\circ}\)

Step-by-step explanation:

The slope of \(DE\) is \(\frac{7-3}{5-4}=4\).

The slope of \(EF\) is \(\frac{3-2}{4-8}=-\frac{1}{4}\).

Thus, \(DE \perp EF\), meaning \(m\angle DE F=90^{\circ}\).

The solutions to the system of equations are x = 2 and 4

From the question, we have the following parameters that can be used in our computation:

f(x) = x - 3

g(x) = 1/(x - 3)

The solution to the system of equations implies that

f(x) = g(x)

So, we have

x - 3 = 1/(x - 3)

Cross multiply the equation

This gives

(x - 3)² = 1

So, we have

x - 3 = ±1

Add 3 to both sides

x = 3 ± 1

So, we have

x = 2 and 4

Hence, the solutions to the system of equations are x = 2 and 4

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The z-score is 0.9 and the proportion of women that are taller than 70 inches tall is 19.38%

From the question, the given parameters about the distribution are

Mean value of the set of data = 65

Standard deviation value of the set of data = 4.5

The actual data value = 70

The z-score

The z-score of the data value is calculated using the following formula

z = (x - mean value)/standard deviation

Substitute the given parameters in the above equation

z = (65 - 4.5)/70

Evaluate

z = 0.864

Approximate

z = 0.9

The proportion of women

The proportion of women that are taller than 70 inches tall is then calculated as:

P(x > 70) = P(z > 0.864)

From the z table of probabilities, we have;

P(x > 70) = 0.19379

Express as percentage

P(x > 70) = 19.379%

Approximate

P(x > 70) = 19.38%

Hence, the proportion is 19.38%

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The amount of force used to pull the cart from 60 N to 90 N, the new acceleration of the cart is, 1.5 m/s²

The definition of force is the pushing or pulling of anything. Push and pull are the result of two things interacting with one another. Stretch and crush are two more phrases that can be used to describe force.

Formula of force,

F = ma

Given that,

A man pulled a cart filled with stones that had a total mass of 60 kg

He increased the amount of force used to pull the cart from 60 N to 90 N

New acceleration of cart = ?

F  = ma

Old acceleration,

60  = 60a

a   =  1 m/s²

New acceleration,

90 = 60a

a   = 90/60

a   =  3/2

a   =  1.5 m/s²

Hence, the new acceleration is 1.5 m/s²

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A.= \($\left( -4,\frac{5\pi}{4}\right)\,\, \left( 4,\frac{-7\pi}{4}\right)\),  B = \($\left( 4,\frac{3\pi}{4}\right)\,\, \left( -4,\frac{-\pi}{4}\right)\),

C=\($\left( -4,\frac{\pi}{4}\right)\,\, \left( 4,\frac{5\pi}{4}\right)\),  D = \($\left( -4,\frac{3\pi}{4}\right)\,\, \left( 4,\frac{7\pi}{4}\right)\)

\($\left( -4,\frac{5\pi}{4}\right) = \left( 4,\frac{5\pi}{4}+\pi = 2\pi + \pi/4\right )\,\,, \left( 4,\frac{-7\pi}{4}\right) =\left( 4,\frac{-7\pi}{4}+2\pi = \pi/4\right)\)

\($\left( 4,\frac{3\pi}{4}\right)\,\, , \,\left( -4,\frac{-\pi}{4}\right) = \left(4,\frac{-\pi}{4}+\pi = 3\pi/4\right)\)

\($\left( -4,\frac{\pi}{4}\right)=\left( 4,\frac{\pi}{4}+\pi = 5\pi/4\right)\,\, ,\,\left( 4,\frac{5\pi}{4}\right)\)

\($\left( -4,\frac{3\pi}{4}\right)=\left ( 4,\frac{3\pi}{4}+\pi = 7\pi/4 \right)\,,\, \left( 4,\frac{7\pi}{4}\right)\)

When \(r\geq 0\) and \(0\leq \theta < 2\pi\), we call the polar coordinates \((r,\theta)\) standard polar coordinates. To convert any given coordinates to standard coordinates 1. if r<0 then replace r with |r| and \(\theta\) with \(\theta + \pi\). 2. Now if \(\theta < 0 \textrm{ or }\theta\geq 2\pi\), we add a suitable multiple of \(2\pi \textrm{ to }\theta\) to bring it inside [0,\(2\pi\)) interval.

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Answer:

There are various sources of accounting information, which are as follows:

1. Financial transactions: The primary source of accounting information is financial transactions such as sales, purchases, payments, receipts, and other financial activities of the business.

2. Accounting records: Accounting records such as journals, ledgers, trial balance, and financial statements are also the sources of accounting information.

3. Bank statements: Bank statements are a primary source of accounting information, as they provide information on bank balances, cash inflows, and outflows.

4. Invoices and bills: Invoices, bills, and receipts provide information on purchases and sales made by the business.

5. Management reports: Internal management reports, such as budgets, variance analysis, and performance reports, provide valuable information on the financial performance of the business.

6. Tax returns: Tax returns provide information on the business's tax obligations and payments.

7. Shareholder reports: Shareholder reports provide information on the financial performance of a company to its shareholders.

Overall, these sources of accounting information provide valuable information on the financial performance of a business, and they play a crucial role in decision-making, performance evaluation, and financial planning.

Answer:7.02

Step-by-step explanation: cause im right

The inequality that represents the value of x is (b)  x > 80

from the question, we have the following parameters that can be used in our computation:

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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Answer:

C

Step-by-step explanation:

If you need the explanation tell me

:D

Answer:

negative correlation

Step-by-step explanation:

his fuel keeps decreasing every time he uses his motorcycle

The length of the missing sides SR and rqare derived to be 5.95 and 3.94 to the nearest hundredth using the sine rule.

The sine rule is a relationship between the size of an angle in a triangle and the opposing side.

Considering the triangle PRS, using the sine rule;

SR/sin53° = RP/sin97°

SR/sin53° = 7.4cm/sin97°

SR = (7.4cm × sin53°)/sin97° {cross multiplication}

SR = 5.9543

For the side length RQ, we consider triangle PQR so that;

RQ/sin26° = 8.5cm/sinR

To get angle R;

angle SRQ = 180 - (26 + 53) {opposite of interior angles of quadrilateral PQRS}

angle SRQ = 101

angle QRP = 101 - angle SRP

angle QRP = 101 - 30 = 71°

RQ/sin26° = 8.5cm/sin71

RQ = (8.5cm × sin26°)/sin71

RQ = 3.9409

Therefore, the length of the missing sides SR and rqare derived to be 5.95 and 3.94 to the nearest hundredth using the sine rule.

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Answer:

1503 years

Step-by-step explanation:

Although the ancient Games were staged in Olympia, Greece, from 776 BC through 393 AD, it took 1503 years for the Olympics to return. The first modern Olympics were held in Athens, Greece, in 1896.

Answer:

Step-by-step explanation:

We can use the formula for the future value of an annuity to determine how much Marcia needs to invest today to meet her retirement goal of $90,000. The formula for the future value of an annuity is:

FV = PMT x [(1 + r/n)^(n*t) - 1] / (r/n)

where:

FV = future value of the annuity

PMT = payment (or deposit) made at the end of each compounding period

r = annual interest rate

n = number of compounding periods per year

t = number of years

In this case, we want to solve for the PMT (the amount Marcia needs to invest today). We know that:

Marcia wants to retire in 15 years (when she is 65), so t = 15

The interest rate is 10% per year, compounded semiannually, so r = 0.10/2 = 0.05 and n = 2

Marcia wants to have $90,000 in her retirement account

Substituting these values into the formula, we get:

$90,000 = PMT x [(1 + 0.05/2)^(2*15) - 1] / (0.05/2)

Simplifying the formula, we get:

PMT = $90,000 / [(1.025)^30 - 1] / 0.025

PMT = $90,000 / 19.7588

PMT = $4,553.39 (rounded to the nearest cent)

Therefore, Marcia needs to invest $4,553.39 today in order to meet her retirement goal of $90,000, assuming an interest rate of 10% per year, compounded semiannually.

The absolute value of the elevation difference between the valley and sea level is 94 feet.

The absolute value of a number is the distance of that number from zero on the number line. It represents the magnitude or size of a quantity without considering its direction. In the given scenario, we are dealing with the elevation difference between a valley and sea level.

The valley is described as being 94 feet below sea level. To find the absolute value of the elevation difference, we need to ignore the negative sign and consider the magnitude of the difference.

In this case, since the valley is below sea level, the elevation difference is negative. However, when we take the absolute value, we disregard the negative sign and focus solely on the numerical value of the difference.

By applying the absolute value to the elevation difference of -94 feet, we remove the negative sign and consider only the magnitude. Thus, the absolute value of -94 is simply 94.

Therefore, the absolute value of the elevation difference between the valley and sea level is 94 feet. It indicates that the valley is 94 feet away from sea level in terms of elevation, regardless of the direction (above or below sea level). The absolute value provides a measure of the magnitude of the difference while disregarding the direction or sign associated with it.

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Answer:

2 and  8

Step-by-step explanation:

multiply the denominator to equal the other fraction and do the same for the denominator

Answer:

y=-1/10x-5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-1/10(x-(-10))

y+4=-1/10(x+10)

y=-1/10x-10/10-4

y=-1/10x-1-4

y=-1/10x-5

Answer:

Step-by-step explanation:

Past: The birds flew away quickly

Present: The geese honk at the passerby

Future: The ducklings will hatch soon

Answer:

[Past] The birds flew away quickly.

[Present] The geese honk at passersby.

[Future] The ducklings will hatch soon.

_______________________________

I can't see the options on the second image.

Answer:

the answer is 8/3

Step-by-step explanation:

-2/3 ÷ 1/-4

-2/3 × -4/1

8/3

mark me as brainliest plyyzzz

Answer:8/3

Step-by-step explanation:rewrite the fraction then multiply the reciprocal calculate

The inverse statement is false.

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The values nearest to these middle elements are 60 and 63 inches.

The dataset is given as:

62 33 50 90 80 50 40 70 50 63 74 53 55 64 60 60 78 70 43 82

Then, we sort the information elements in ascending request

33 40 43 50 50 50 53 55 60 60 62 63 64 70 70 74 78 80 82 90

The length of the dataset is 20.

Thus, the elements at the middle are the tenth and the 11 elements.

From the arranged dataset, these elements are: 60 and 62

Thus, the values nearest to this median are 60 and 63

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