Find the volume of cuboid which is 9cm multiply 4cm multiply 5cm

Answer:

3a-b

3×4-6 solve by using the rules of BODMAS

12-6

6(ans)

Hope it helps

a. The linear equation that models the temperature T as a function of the number of chirps per minute N is: T(N) = (1/9)N + 60

b. If the crickets are chirping at 155 chirps per minute, the estimated temperature is approximately 77.22 degrees Fahrenheit.

a. Let's first find the slope of the line using the formula:

slope (m) = (y2 - y1) / (x2 - x1)

where (x1, y1) = (117, 73) and (x2, y2) = (180, 80).

slope = (80 - 73) / (180 - 117)

= 7 / 63

= 1/9

Now, let's use the point-slope form of a linear equation:

y - y1 = m(x - x1)

Using the point (117, 73):

T - 73 = (1/9)(N - 117)

Simplifying the equation:

T - 73 = (1/9)N - (1/9)117

T - 73 = (1/9)N - 13

Now, let's rearrange the equation to solve for T:

T = (1/9)N - 13 + 73

T = (1/9)N + 60

Therefore, the linear equation that models the temperature T as a function of the number of chirps per minute N is: T(N) = (1/9)N + 60

(b) If the crickets are chirping at 155 chirps per minute, we can estimate the temperature T using the linear equation we derived.

T(N) = (1/9)N + 60

Substituting N = 155:

T(155) = (1/9)(155) + 60

T(155) = 17.22 + 60

T(155) ≈ 77.22

Therefore, if the crickets are chirping at 155 chirps per minute, the estimated temperature is approximately 77.22 degrees Fahrenheit.

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The given series 9 - 10 + 100/9 - 1000/81 + ... is a geometric series with the first term a = 9 and the common ratio r = -10/9. To check if the series is convergent or divergent, we need to find the absolute value of the common ratio, which is |-10/9| = 10/9 > 1. Since the absolute value of the common ratio is greater than 1, the series is divergent.

Therefore, the series does not have a finite sum. The expression a(-10/9)^2 is not applicable here as the series is not convergent.
In the given geometric series 9 - 10 + 100/9 - 1000/81 + ..., let's first find the common ratio (r). We can do this by dividing a term by its preceding term:

r = (-1000/81) / (100/9) = (-1000/81) * (9/100) = -10/9

Now, let's find the first term (a). We know that the n = 2 term is 100/9, which equals a * r^2:

100/9 = a * (-10/9)^2

Solving for a, we get:

a = (100/9) / (100/81) = 81/9 = 9

Now that we have a = 9 and r = -10/9, we can determine if the series converges or diverges. A geometric series converges if the absolute value of r is less than 1, which is true in this case:

|-10/9| < 1

Since the series converges, we can find its sum using the formula for the sum of an infinite geometric series:

Sum = a / (1 - r) = 9 / (1 - (-10/9)) = 9 / (19/9) = 9 * (9/19) = 81/19

So, the sum of the given geometric series is 81/19.

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The correct statement regarding the congruence is given as follows:

1) Distance is preserved under reflection.

Examples of transformations are given as follows:

Congruent segments are those with the same length, and the dilation is the only transformation that has a loss of congruence.

The diagram is not necessary, as for every reflection the effect will be the same.

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Answer:

The numbers would be 21,23 and 25.

The largest is 25. (If this is what you are asking)

Step-by-step explanation:

The question stated that 3 consecutive odd numbers made up that 69.

Therefore, you can divide the 69 by 3 to determine the range of these numbers.

69/3= 33. So we know the range is 30-35-39 (These are the numbers youd look at to see which consecutive numbers adds up to the 69)

Reason why you divide:

For example, you wouldnt be able to use a number in its 30s or 10s because itd be too high or too low.

Hope it helps.

f(x) = x is a simple linear function with a slope of 1, f(x) = 3 5 6 is a constant function, f(x) = 3-x is a linear function with a negative slope of -1,  f(x) = 1 is a constant function, f(x) = 2 is a constant function

A constant function is a mathematical function whose output value is the same for every input value

From the given parameters, f(x) = x is a simple linear function with a slope of 1, this implies  that for every unit increase in x, the value of y increases by 1.

Also,  f(x) = 3 5 6 is a constant function, where the value of y is always 3 5 6, regardless of the value of x.

In the same way,  f(x) = 3-x is a linear function with a negative slope of -1, which means that for every unit increase in x, the value of y decreases by 1. The fourth function f(x) = 1 is a constant function, where the value of y is always 1, regardless of the value of x.

The domain of the fifth function is 3 0, which means that x can take any value between 3 and 0.

The sixth function f(x) = 2 is a constant function, where the value of y is always 2, regardless of the value of x.

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If star A is closer to us than star B, then Star A's parallax angle is: Larger than that of Star B.

Hence, option (A) is correct choice.

The parallax of a star at a distance of 10 parsecs would be 0.1′′ since parallax is inversely proportional to distance. The parallax of Proxima Centauri, a star in the triple system of Alpha Centauri, is 0.76813′′, indicating that it is 4.24 light-years away from Earth at a distance of 1/0.76813, or 1.302 parsecs.

The apparent shift in an object's location caused by a change in the observer position is known as parallax. This apparent shift is measured (in arc seconds) is reversed to provide the distance from the background stars (in parsecs).

The definition of an object's absolute magnitude is the apparent magnitude the object would have if it were observed at a distance of precisely 10 parsecs (32.6 light-years), without light extinction.

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Answer:

-24, \(\frac{1}{24}\)

Step-by-step explanation:

An opposite number or additive inverse of any number (n) is a number which, if added to n, results in 0. The opposite number for n is written as −n.

For 24, this is -24.

A multiplicative inverse or reciprocal for a number n, is a number which when multiplied by n, their product is 1. To find the multiplicative inverse of a real number, just divide 1 by that number.  The reciprocal for n is written as \(\frac{1}{n}\) or \(n^{-1}\).

For 24, this is \(\frac{1}{24}\).

**This content involves opposite and reciprocal numbers, which you may wish to revise. I'm always happy to help!

Answer: 34

Step-by-step explanation:

Vertical angles are congruent.

Answer:

I think it's 27

Step-by-step explanation:

(4-1)(4-1)(4-1)

(3)(3)(3)

9×3

27

The linear function y = (1/2)x + 1 represents a line that passes through the points (-8, -3), (-4, -1), (0, 1), (2, 2), and (6, 4). The line rises as it moves to the right and intersects the y-axis at (0, 1).

To plot the ordered pairs for the given linear function y = (1/2)x + 1, we will substitute the values from the domain D = {-8, -4, 0, 2, 6} into the equation and calculate the corresponding values for y.

Let's calculate the y-values for each x-value in the domain:

For x = -8:

y = (1/2)(-8) + 1

y = -4 + 1

y = -3

So, the ordered pair is (-8, -3).

For x = -4:

y = (1/2)(-4) + 1

y = -2 + 1

y = -1

The ordered pair is (-4, -1).

For x = 0:

y = (1/2)(0) + 1

y = 0 + 1

y = 1

The ordered pair is (0, 1).

For x = 2:

y = (1/2)(2) + 1

y = 1 + 1

y = 2

The ordered pair is (2, 2).

For x = 6:

y = (1/2)(6) + 1

y = 3 + 1

y = 4

The ordered pair is (6, 4).

Now, let's plot these ordered pairs on a coordinate plane. The x-values will be plotted on the x-axis, and the corresponding y-values will be plotted on the y-axis.

The points to plot are: (-8, -3), (-4, -1), (0, 1), (2, 2), and (6, 4).

After plotting the points, we can connect them with a straight line to represent the linear function y = (1/2)x + 1.

The graph should show a line that starts in the lower left quadrant, rises as it moves to the right, and intersects the y-axis at the point (0, 1).

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If there is no vertical line that intersects the graph in more than one point, then the equation is a function.

In a function, each input produces a unique output. But different inputs may produce the same output.

Therefore, if an equation determines a unique y-value for each value of x, then the equation is said to be a function.

An equation is considered a function if there is a unique output (y) for every input (x). In other words, every x-value produces only one y-value.

If multiple x-values produce the same y-value, then the equation is not a function.

To test whether an equation is a function or not, we can use the vertical line test.

If we can draw a vertical line that intersects the graph in more than one point, then the equation is not a function.

If there is no vertical line that intersects the graph in more than one point, then the equation is a function.

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Answer:

\( f(x) = 72 - 12x \)

Step-by-step explanation:

No. of days of study = 6

Amount of food to use for the 6 days = 72 mm

Given that equal amount of food was used each day, amount used per day = \( \frac{72}{6} = 12 mm \)

This would enable us derive a function for the amount of food remaining f(x), which can be expressed as a function of the number of days that have passed, (x).

Thus, we would have:

\( f(x) = 72 - 12x \)

Let's check if this equation expresses the relation of the function well.

At the end of day 1, if we used, 12mm, we would have 72 - 12 = 60mm of food remaining.

If we replace x in the equation we derived, we would get the same 60mm as the amount of food remaining.

If you try 2, 3, 4, 5 days, you'd get same thing.

At the end of the study, after the 6th day, the food would remain nothing.

Replace 6 for x in the relation function derived, you'd get a value of 0.

The explicit formula for f^-1 is (x-3)^(1/4) and this is obtained by switching the roles of x and y and solving for y in terms of x.

To find the inverse function of f(x)=x^4+3, we need to switch the roles of x and y, and solve for y.
Let y = x^4+3
Subtract 3 from both sides to get:
y - 3 = x^4
Take the fourth root of both sides to isolate x:
(x^4)^(1/4) = (y-3)^(1/4)
Simplify:
x = (y-3)^(1/4)
So the inverse function of f(x) is:
f^-1 (x) = (x-3)^(1/4)
This is the explicit formula for the inverse function of f(x).
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Answer:

multiplication 4(3x-1)

12x-4

The third term in the sequence generated by 5n is 15.

According to the question,

We have the following information:

The sequence is given by the formula 5n.

In this case, n represents the number of the term.

(Note that the sequence generated by this formula can not be a geometric sequence because the common ratio of these terms is not the same.)

So, we have to find the 3rd term of this sequence. Then, we will find the value of this sequence by putting the value of n as 3.

So, we have the following expression:

5*3

15

Hence, the third term in the sequence generated by 5n is 15.

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Answer:

a couple different obes

Step-by-step explanation:

there are five

Answer:

7cm

Step-by-step explanation:

Given scale of the map;

             2cm on map is 45 miles on land

A scale expresses the relationship between map distance and the true is distance;

   2cm on map is 45 miles on land ; or ;

         45miles on land is 2cm on the map

      157.5miles on land will be \(\frac{157.5x2}{45}\) = 7cm

The distance on the map is 7cm

To determine if a misspelled name is repeated throughout a dataset, a data analyst can use the COUNT function. This function counts the number of occurrences of a value in a range of cells.

Alternatively, the data analyst could use the COUNTA function, which counts the number of cells in a range that contain data (including text and numbers, but not empty or blank cells). The COUNTA function would also count the number of occurrences of the misspelled name in the dataset.

What is a dataset, using an example?

A collection of numbers or values pertaining to one subject constitutes a data set. An example of a data set might be each student's test scores for a certain class. The amount of fish that each dolphin eats in an aquarium is a data set.

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Answer:

It depends on which why you are moving so let's say you have to move the 3 units to the right and 1 up, that would be the answer. I can't really give you the exact answer because you didn't say where they are supposed to go.

They should use 6 cup of Noah's measuring cup

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Calculating the number of cup the should use:

Number of cup = Recipe call / Noah's cup

Number of cup = (3/4) / (1/8)

Number of cup = 3*8 / 4*1

Number of cup = 24/4

Number of cup = 6

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Correctly written question:

Melanie and Noah are baking a birthday cake for Francesca. The recipe call for 3/4 measuring cup and Noah has a 1/8 measuring cup. Which cup should they use?

Using the binomial distribution, the probabilities are given as follows:

a) Any spark plug not failing during the flight: 0.9995.

b) None of the two failing during the flight: 0.9990.

c) At least one of the two failing during the flight: 0.0010.

The mass function of the binomial probability distribution is given as follows:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In which the parameters are as follows:

The values of these parameters are given as follows:

p = 1/2000 = 0.0005, n = 2.

Hence the probability that a single spark plug will not fail is given as follows:

1 - 0.0005 = 0.9995.

The probability that none fail is:

P(X = 0) = (0.9995)² = 0.9990.

The probability that at least one fails is given as follows:

1 - 0.9990 = 0.0010.

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Answer:

3 = 14 and 4 = 8

Step-by-step explanation:

The reason as to why this is, is because of the line going down the middle. If you were to open one of the lengths as a door starting from the middle line it would fit perfectly with the top one.

product of two perpendicular line slopes must equals - 1 ;

As you know the coefficient of x is the slope of the line

Thus if we suppose that line has a slope of m , we have :

m × 2 = - 1

m = - 1 / 2

__________________________________

y = ax + b

y = - 1 / 2 x + b

The line passes through the point ( - 2 , - 2 ) thus :

- 2 = - 1 /2 × ( - 2 ) + b

- 2 = 1 + b

b = - 3

__________________________________

y = - 1/2 x - 3

Which mean the option c is the correct answer.

Answer:

y = -1/2(x) - 4

Step-by-step explanation:

\(y=-\frac{1}{2}(x)-4\)

Answer:

If the two random variables are independent, the covariance will be zero. It means they don't have any linear relationship.

Step-by-step explanation:

(2/3)x = 7 + 2

(2/3)x = 9

2x = 9 × 3

x = 27/2

:. x = 13 1/2

Answer:

Below

Step-by-step explanation:

To find the break-even point, we need to determine the point at which the total revenue equals the total cost. Let's call the number of shirts sold "x".

The total cost includes the initial costs of $1,500 and the cost per shirt of $3x, so the total cost is:

y = 1500 + 3x

The total revenue is the price per shirt of $10 multiplied by the number of shirts sold, so the total revenue is:

y = 10x

To find the break-even point, we need to set the total cost equal to the total revenue and solve for x:

1500 + 3x = 10x

Simplifying this equation, we get:

1500 = 7x

Dividing both sides by 7, we get:

x = 214.29

Therefore, Steve needs to sell 215 shirts to break even.So the correct system to find the break-even point is:

y = 1500 + 3x (total cost)

y = 10x (total revenue)

Answer: Hello, I can help!

The probability that Jerry will have to wait for the bus for more than five minutes is 0.3. Therefore, the probability that he will not have to wait for more than five minutes is 0.7 (since the sum of the probabilities of all possible outcomes is 1).

The probability that Jerry does not wait for more than five minutes on any one day is 0.7. The probability that he does not wait for more than five minutes on all 5 days is:

0.7 x 0.7 x 0.7 x 0.7 x 0.7 = 0.16807

Therefore, the probability that Jerry does not wait for more than five minutes all 5 days this week is 0.16807 or about 16.81%.

Step-by-step explanation: rest easy my friend:)

Answer:

To answer this question, we need to use the binomial probability formula:

P(X = k) = nCk * p^k * (1 - p)^(n - k)

where n is the number of trials, k is the number of successes, p is the probability of success, and nCk is the number of combinations of k elements out of n.

In this case, n = 5 (the number of days in a week), k = 5 (the number of days that Jerry does not wait for more than five minutes), and p = 0.7 (the probability that Jerry does not wait for more than five minutes on any given day).

Plugging these values into the formula, we get:

P(X = 5) = 5C5 * 0.7^5 * (1 - 0.7)^(5 - 5)

P(X = 5) = 1 * 0.16807 * 1

P(X = 5) = 0.16807

Therefore, the probability that Jerry does not wait for more than five minutes all 5 days this week is about 16.8%.

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