A rectangle has length 62 mm and width 47mm, both correct to the nearest millimetre.

The area of this rectangle is Amm?.

Complete the statement about the value of A.

Answer:

C) 1

Step-by-step explanation:

f(x) = 3x - 4 when x = 3

= 3(3) - 4

= 9 - 4

= 5

g(x) = x^2 when x = 2

= 4

Subtract both values.

5 - 4 = 1

Best of Luck!

Answer:

m< K =60

m< L =90

m< KMI =30

m< LMA =150

Step-by-step explanation:

hope it helps you

have a great day!!!

Answer:

you can make 12 cans of them

The required range for the owner to win the participant's money is given by
g ≤ 76 inches.

In the game of the Height, there is a participant named bobby and the guess maker a booth owner, if the booth owner makes the right guess than  he will get the money of the participant who are participating in the game.

Range, it is the set of the values that come out to an outcome for certain mathematical operation.

As per the condition, the booth owner can guess the height of the participants more than 1 inches of the actual height.
so the range (g) ≤ 76, so the booth owener wins the money

Thus, the required inquility for the condition is given by (g) ≤ 76.

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Procedures that help organize or describe data collected from a sample or a population are called Descriptive statistics.

Hence, option D is correct answer.

Data can be meaningfully and effectively described or summarised using descriptive statistics. For instance, knowing that everyone in our scenario wore blue shoes wouldn't be helpful. It would be helpful to know how evenly distributed their anxiety scores were. Measures of central tendency and measurements of variability make up descriptive statistics (spread).

The mean, median, and mode are measurements of central tendency, while the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness are measures of variability.

In order to emphasise potential correlations between variables and to give basic information about the variables in a dataset, descriptive statistics can be helpful for both of these aims. The three most used descriptive statistics, which represent the following three variables: graphical/illustrative techniques.

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physical sciences 2023

The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.

Given:

Total number of seniors = 200

Number of seniors in the band = 32

Number of seniors in the band or on the honor roll = 64

Let's calculate the probability using these values:

Probability = Number of seniors in both categories / Total number of seniors

Probability = 64 / 200

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:

Probability = (64 ÷ 8) / (200 ÷ 8)

Probability = 8 / 25

Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

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Answer:

0.0555 meter =

55.5 millimeters

Answer:

55.5mm

Step-by-step explanation:

The smallest positive debt that can be paid off using sticker trading is $7$ dollars.

To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.

Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.

The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.

In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.

Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.

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Answer:

Step-by-step explanation:

Simplify negative 2 and 1 over 9 - negative 4 and 1 over 3

Options  

The first option is correct

Answer:

The answer is the first one :) 2 2/9

and i got it right on the quiz :)

Step-by-step explanation:

Hope this helps

Answer:

7.5 cubic yards

Step-by-step explanation:

3* 5/2= 15/2= 7.5 cubic yards

if my answer helps please mark as brainliest.

Example: (2x - 4) x=7 so (2x (x=7) - 4) =18

Answer:

2 2/5

Step-by-step explanation:

Follow these steps to get a mixed number:

Divide 12 by 5. The quotient is 2 and the remainder is 2. The divisor remains 5. 12/5 in mixed fraction is 2 2/5

Hence, 12/5 can be written as a mixed number 2 2/5.

Hi i'm here to help the answer is 78 please mark me brainliest

The formula for this linear function is f(x) = mx + b, where m is the slope (in this example, -350), and b is indeed the y-intercept (750,000 in this case).

An equation expressing the connection between the expressions on either side of a sign. Normally, it has an equal sign and just one variable. such as: 2x - 4 is equal to 2. The variable x is present in the example above.

Workers who complete the computer security course will each receive a reimbursement of $350.

We deduct $350x from of the initial $750,000 to determine how much money will remain inside the education fund once x employee gets the reimbursement.

Thus, f(x) = 750,000 - 350x is the equation again for function that describes that amount of money still in the fund when x employees receive the refund.  

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The gallons after 8 hours will be 3400 gallons.

Expression refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.

Numbers, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations.

In this case, the reactor coolant tank is being filled with coolant at the rate of 400 gallons per hour with t>0 measure in hours.

Therefore, the gallons after 8 hours will be:

= 200 + 400(8)

= 200 + 3200

= 3400 gallons.

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If we restrict the domain of the function to the portion of the graph with a positive slope, the domain of the inverse function will be the range of the original function for values of x greater than 4, and its range will be all real numbers greater than or equal to 4.

The given function f(x) = |x – 4| + 6 is a piecewise function that contains an absolute value. The absolute value function has a V-shaped graph, and the slope of the graph changes at the point where the absolute value function changes sign. In this case, that point is x=4.

If we restrict the domain of f(x) to the portion of the graph with a positive slope, we are essentially considering the piece of the graph to the right of x=4. This means that x is greater than 4, or x>4.

The domain of the inverse function, f⁻¹(x), will be the range of the original function f(x) for values of x greater than 4. This is because the inverse function reflects the original function over the line y=x. So, if we restrict the domain of f(x) to values greater than 4, the reflected section of the graph will be the range of f⁻¹(x).

The range of f(x) is all real numbers greater than or equal to 6 because the absolute value function always produces a positive or zero value and when x is greater than or equal to 4, we add 6 to that value. The range of f⁻¹(x) will be all real numbers greater than or equal to 4, as this is the domain of the reflected section of the graph.

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The biker needs to travel 45 km more to complete his journey.

Given that, a biker traveled 2/5 of the road on the first day, then traveled 5 kilometers less on the next day, which is equal to 3/8 of the road, we need to find how much he need to cover more,

Let the total distance of the road be x,
So,

2x/5 - 5 = 3x/8

2x/5 - 3x/8 = 5

Solving for x,

Multiply by 40 to both sides,

16x-15x = 200

x = 200

Therefore, the total distance of the road is 200 km.

Since, he travelled =

200 (2/5) = 80 km + 200 (3/8) = 75 km = 155 km

Therefore, he needs to travel 200-155 = 45 km more.

Hence, the biker needs to travel 45 km more to complete his journey.

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Answer:

The area of the remaining plastic is given by the difference:

original area- area of all square cutouts.

60 cm- 4x^2

Step-by-step explanation:

bc i got it right on imagine math

In given fractions 8/9 is 1/36 large than 31/36

Finding the larger and smallest fraction in between two or more fractions is known as comparing fractions.

We need to change fractions with unlike denominators into fractions with similar denominators in order to compare them. For this, we will find the denominators' Least Common Multiple (LCM).    

If the denominators are the same then it is easy to compare the fractions.

Here we have

31/36 and 8/9

To find the largest fraction convert both denominators into the same  

Here LCM(36, 9) = 36  

Now multiply both numerator and denominators of fractions with a number to change the denominators  

=> \(\frac{31}{36} \times \frac{1}{1} = \frac{31}{36}\)  

=> \(\frac{8}{9} \times \frac{4}{4} = \frac{32}{36}\)  

From the above calculations given fractions are 31/36 and 32/36

Difference = \(\frac{32}{36} - \frac{31}{36} = \frac{1}{36}\)  

Therefore,

In given fractions 8/9 is 1/36 large than 31/36

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The expression   -2³a⁴b⁻⁵/ 24a⁷b³ × b¹⁰/a⁻²b⁻⁴ with no negative exponents is -a⁵b⁶/3

The given expression is -2³a⁴b⁻⁵/ 24a⁷b³ × b¹⁰/a⁻²b⁻⁴

a and b are the variable in the expression

We have to find the expression without negative exponents

\(\frac{a^m}{a^n}=a^m^-^n\)

-8a⁴b⁻⁵/ 24a⁷b³ × b¹⁰/a⁻²b⁻⁴

-a³/3b⁸  × a²b¹⁴

-a⁵b⁶/3

Hence, the expression with no negative exponents is -a⁵b⁶/3

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Answer:kbef;eohrjkvoubwe

cv bojbDetectives are unsure whether Kendall Postwell will be able to testify at her trial. They say it is a question of competence. What does this MOST likely mean?

A.

Kendall might be determined to be insane and not qualified to testify.

B.

The evidence in Kendall’s case is inconclusive and doesn’t prove anything.

C.

Kendall is an expert witness who has testified many times before.

D.

The police think it will hurt their case if Kendall chooses to testify.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Arc length= \(\frac{interior angle}{360} 2\pi r\)

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

The solution to the system of equations is 6kg of 15 % chromium and 3kg of 18 % stainless steel

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of chromium be x

Let the amount of stainless steel be y

The percentage of amount of chromium = 15 % of x

The percentage of amount of stainless steel = 18 % of y

Now , the amount of mixture = 9 kg

The percentage of amount of mixture = 17 %

So , the equation will be

x + y = 9   be equation (1)

0.15x + 0.18y = 0.17 ( 9 )

On simplifying the equation , we get

15x + 18y = 153  

Divide by 3 on both sides of the equation , we get

5x + 6y = 51   be equation (2)

Multiply equation (1) by 5 , we get

5x + 5y = 45   be equation (3)

Subtracting equation (3) from equation (2) , we get

y = 6 kg

So , the value of x = 3 kg

Hence , the mixture contains 6kg of 15 % chromium and 3kg of 18 % stainless steel

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Answer:

The inverse is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x) = (x+3)^5

Finding the inverse,

\(f(x) = (x+3)^5\\or,\\y = (x+3)^5\)

We replace x with y and vice versa

so,

\(x = (y+3)^5\)

Solving for y,

the the 5th root,

\(\sqrt[5]{x} = y + 3\\y = \sqrt[5]{x} - 3\)

hence the inverse function is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x)=(x+3)×5

Y=5X+15

now

interxchanging x and y we get,

x=5y+15

5y=x-15

y=x-15/5

therefor f~1(x)=x-15/5