Find the volume 1.20m by 5m by 75cm

If u is indirectly proportional to t³ - 3, the value of u when t = 3 is 5.

Proportional relationships are relationships between two variables where their ratios are equivalent.

Given that;

u is indirectly proportional to t³ - 3;

u ∝ 1/( t³ - 3)

u = k/( t³ - 3)

Where k is the proportionality constant.

First, we determine the proportionality constant.

To find k, we can use the initial condition that;

24 = k / (2³- 3)

24 = k / (8 - 3)

24 = k / 5

k = 24 × 5

k = 120

Hence, the equation relating u and t is:

u = k/( t³ - 3)

Plug in k = 120

u = 120/( t³ - 3)

To find u when t = 3, we can substitute t = 3 into the equation:

u = 120/( t³ - 3)

u = 120/( 3³ - 3)

u = 120/( 27 - 3)

u = 120/24

u = 5

Therefore, the value of u is 5.

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The answer is [tex]\(\frac{dy}{dx} = 24x\left( 2x^{2}-1 \right)^{2}-8x\)[/tex]To find [tex]( \frac{d y}{d x} \)[/tex]), let's apply the Chain Rule.

It is the most popular technique for differentiating composite functions, and it involves applying the derivative to the outer function and then to the inner function, multiplied by the derivative of the inner function.

Expression [tex]\(y = u^3 - 2u\) and \(u = 2x^2 - 1\),[/tex] Let us apply the chain rule; [tex]\( \frac{d y}{d x}= \frac{dy}{du}\frac{du}{dx}\)[/tex] , So [tex]\( \frac{d y}{d x}= \left( 3u^{2}-2 \right)\left( 4x \right) \).[/tex]

Put the value of u in the above equation, we have\[tex]( \frac{d y}{d x}= \left( 3\left( 2x^{2}-1 \right)^{2}-2 \right)\left( 4x \right) \)[/tex] , Thus [tex]\(\frac{dy}{dx} = 24x\left( 2x^{2}-1 \right)^{2}-8x\)[/tex] is the answer.

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64,000÷10 to the fourth power is equal to 0.64 × 10⁴

In mathematics, an algebraic expression is a combination of variables, constants, and mathematical operations, such as addition, subtraction, multiplication, and division, that represents a quantity or a relationship between quantities.

To solve this, we need to remember the order of operations, which is parentheses, exponents, multiplication and division (performed left to right), and addition and subtraction (also performed left to right).

First, we need to calculate 10 to the fourth power:

10 to the fourth power means 10 multiplied by itself four times:

10⁴ = 10,000

Now we can substitute that value into the original expression:

64,000 ÷ 10,000 =  0.64 × 10⁴

Therefore, 64,000÷10 to the fourth power is equal to  0.64 × 10⁴

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The correct options are A) Pull two times as many green cubes as blue cubes , B) Pull a blue cube 28 times, and E) Pull a red cube 16 times.

To determine which of the following amounts you would expect to pull, we need to calculate the probabilities of drawing each color cube and then apply that probability to 100 draws.

1. Calculate the total number of cubes in the bag:

Total cubes = 7 blue + 4 red + 14 green = 25 cubes

2. Calculate the probability of drawing each color:

P(blue) = 7/25

P(red) = 4/25

P(green) = 14/25

3. Apply the probabilities to 100 draws:

Blue: 100 × (7/25) = 28

Red: 100 × (4/25) = 16

Green: 100 × (14/25) = 56

Now we can evaluate the given statements:

A) Pull two times as many green cubes as blue cubes

56 green cubes is exactly 2 times 28 blue cubes, so A is correct.

B) Pull a blue cube 28 times

As calculated earlier, you would expect to pull a blue cube 28 times. B is correct.

C) Pull 60 red cubes

The expected number of red cubes is 16, not 60. C is incorrect.

D) Pull more blue cubes than green cubes

You would expect to pull 28 blue cubes and 56 green cubes, so D is incorrect.

E) Pull a red cube 16 times

As calculated earlier, you would expect to pull a red cube 16 times. E is correct.

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Answer:

length of a side is 3

Step-by-step explanation:

if it is a square, the sides are equal. The diagonal will divide the square into 2 isosceles right triangles with diagonal is the hypotenuse

Pythagorean theorem: c^2 = a^2 + b^2

since a = b in isosceles right triangle

c^2 = 2a^2

18 = 2a^2

a^2 = 18/2 = 9

a = √9 = 3

The current drawn by R2 is 3.333A or 3333mA in parallel combination in ohms.

In a parallel combination, the voltage across both resistors is the same. However, the current is divided between the two resistors based on their individual resistances. Using Ohms law (V = IR), we can find the voltage across the resistors:

According to the specific resistances of the resistors in a parallel circuit, the current is distributed among them. More current will flow through the resistor with the lower resistance than the one with the greater resistance. This is due to the fact that the lower resistance provides less resistance to the current flow. In this instance, R1 will draw more current than R2 since it has a lower resistance than R2.

V = IR1 = (10A)(5Ω) = 50V

V = IR2 = (I)(15Ω)

We can find current I by solving this particular equation:

I = V/R2 = (50V)/(15Ω) = 3.33A

Convert this ampere value to milliamps, in which we have to multiply by 1000:

I = 3.33A * 1000 = 3333mA or 3.333A

Current drawn by R2 is 3.333A or 3333mA.

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Therefore , the solution of the given problem of angles comes out to be k can be any number, so θ = 0 + k180 or θ = 180 + k180

A tilt is a form in Euclidean geometry made up of two lines, or conical faces, that divide at the structure's centre and apex. At their junctions, two rays may combine to form an angle. Angle is another outcome of two entities interacting. Dihedral shapes best describe them. A two-dimensional curve can be created by arranging two line beams in various configurations at their ends. The term "angle" was first used in the Latin term "angulus," which is translated as "horn" in English.

Here,

The solution can be factored to begin with:

=> tanθ(tanθ + 3) = 0

Either

=>  tanθ = 0 or tanθ + 3 = 0

will result in the satisfaction of this equation.

When sin = 0, can be any integer multiple of 180 degrees, including zero.

We can find tan by solving for 3 when tan + 3 = 0.

=> tanθ = -3

There are no answers to this problem because there isn't any angle whose tangent is -3.

As a result, the following are the answers to the equation

tan²θ + 3tanθ = 0 :

k can be any number, so θ = 0 + k180 or θ = 180 + k180

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Answer:

223.67

Step-by-step explanation:

The point on the number line that is 1/4 of the way from point 0 to -3 is located at the point 3/4.

What is a number line?

A number line is a straight line that represents the real numbers as points or marks on the line. The numbers increase from left to right, and each point on the line corresponds to a specific number.

To find the point on the number line that is 1/4 of the way from point 0 to -3, we can use the following formula:

point = starting point + fraction of distance * total distance

The starting point is 0, and the total distance is the distance between 0 and -3, which is 3. So the total distance is 3.

Now, we need to find the fraction of the distance that is 1/4 of the total distance. This can be written as:

fraction of distance = 1/4

So the formula becomes:

point = 0 + 1/4 * 3

Simplifying the expression, we get:

point = 3/4

Therefore, the point on the number line that is 1/4 of the way from point 0 to -3 is located at the point 3/4.

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If Jasper and Corey have saved up a total of $78.0 and Jasper has saved 6 dollars more than twice as much as Corey, Corey has saved $24, for a total of $78.

Let's use C to represent the amount of money Corey has saved.

We know that Jasper has saved 6 dollars more than twice as much as Corey, so we can write an equation to represent this relationship:

J = 2C + 6

where J is the amount of money Jasper has saved.

We also know that the total amount of money saved by Jasper and Corey is $78, so we can write another equation to represent this:

J + C = 78

Now we can substitute the first equation into the second equation to get an equation with only one variable:

(2C + 6) + C = 78

Simplifying the equation, we get:

3C + 6 = 78

Subtracting 6 from both sides, we get:

3C = 72

Dividing both sides by 3, we get:

C = 24

Therefore, Corey has saved $24. We can use the first equation to find out how much Jasper has saved:

J = 2C + 6 = 2(24) + 6 = 54

So Jasper has saved $54.

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The sοlutiοn οf the given prοblem οf area cοmes οut tο be the cοmpοsite shape in the picture has a surface area οf 96 square centimetres.

Its tοtal size can be determined by figuring οut hοw much rοοm wοuld be required tο cοmpletely cοver the οutside. The surrοundings have alsο been taken intο cοnsideratiοn when calculating the surface οf a trapezοidal shape. The tοtal measurements οf sοmething are determined by its surface area. Hοw many edges there are between a cubοid's fοur trapezοidal ends indicates hοw much water it can cοntain in its interiοr.

Here,

Let's start by listing each separate surface that cοntributes tο the cοmpοsite shape. There are twο triangles and fοur squares.

We can use the fοllοwing methοd tο determine the area οf each rectangle:

=> Length = 5 centimetre, width = 4 cm, sο area = 5 cm x 4 cm = 20 cm² fοr rectangle 1.

=> Rectangle 2 has a surface area οf 20 cm² because its length is 5 cm and width is 4 centimetres.

=> Rectangle 3 has a 6 centimetre length and a 4 cm width,

=> area =  6 cm x 4 cm, οr 24 cm².

=> Rectangle 4 has a 6 centimetre length and a 4 cm width, sο

=> area =  6 cm x 4 cm, οr 24 cm².

The fοllοwing algοrithm can be used tο determine each triangle's area:

=> area =  (Base × Height) / 2

Area οf Triangle 1 :  (2 cm x 4 cm) / 2 = 4 cm²

Area οf Triangle 2: (2 centimetre x 4 cm) / 2 = 4 cm²

Tοtal Surface Space equals 96 cm² (20 cm², 20 cm², 24 cm², 24 cm², 4 cm², 4 cm²)

Cοnsequently, the cοmpοsite shape in the picture has a surface area οf 96 square centimetres.

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The correct answer is (A): "its sampling distribution is centered exactly at the parameter it estimates."

An estimator is a statistic that is used to estimate an unknown parameter in a population. A point estimator is a single value that is used to estimate the population parameter. The goal of a point estimator is to provide an estimate that is as close to the true value of the parameter as possible.

One way to evaluate the quality of a point estimator is to look at its bias, which is the difference between the expected value of the estimator and the true value of the parameter it is estimating. An estimator is unbiased if its expected value is equal to the true value of the parameter it estimates. In other words, an unbiased estimator is centered exactly at the parameter it estimates.

In the context of the given problem, the sample mean of weekly computer usage time (8.5 hours) is a point estimator for the population mean weekly computer usage time. To evaluate whether this estimator is unbiased, we would need to look at its sampling distribution and check whether its expected value (i.e., the mean of the sampling distribution) is equal to the true population mean.

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As a result, the rectangle is 2x^2y^3 inches long.

The Latin word rectus, which meaning "right" or "straight," is where the "recto" in "rectangle" comes from. A rectangle possesses straight sides due to its right angles. Rectitude, a different term derived from the same root and denoting moral uprightness.

We may employ the following formula to determine the rectangular area:

area = length x width

Since we are aware of the surface and the breadth in this instance, we can determine the length:

area = 24x^3y^5

width = 12xy^2

area = length x width

24x^3y^5 = length x 12xy^2

When we multiply both sides by 12xy^2, we get:

2x^2y^3 = length

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Answer:

ab = -2

Step-by-step explanation:

3ab - 1 = 2ab - 3

(minus 2ab on both sides of the equation)

ab - 1 = -3

(plus one of both sides of the equation)

ab = -2

Answer:

True:)

Step-by-step explanation:

Answer:

l=(60÷w)

Step-by-step explanation:

since area =l×w

thats 60=l×w

l=60÷w

Answer: slope is 1/9

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

i  used a website math-way . its a very accurate response. it usually is at least but you should use it.

A(8) = 9/7A(-5) = -1/3A(3/1) = 2A(-71/1) = -5/36

Function: A(t) = (t+1)/(t-1)For the given function A(t), the following values are to be calculated: A(8), A(-5), A(3/1), and A(-71/1)A(8):We need to substitute t=8 in the function. A(8) = (8+1)/(8-1) = 9/7Therefore, A(8) = 9/7A(-5):We need to substitute t=-5 in the function. A(-5) = (-5+1)/(-5-1) = -1/3Therefore, A(-5) = -1/3A(3/1):We need to substitute t=3/1 in the function. A(3/1) = (3/1+1)/(3/1-1) = (4)/(2/1) = 4*1/2 = 2Therefore, A(3/1) = 2A(-71/1):We need to substitute t=-71/1 in the function. A(-71/1) = (-71/1+1)/(-71/1-1) = (-70/1)/(-72/1) = (-5/36)Therefore, A(-71/1) = -5/36Therefore, the respective answers for the given values of the function A(t) are as follows: A(8) = 9/7A(-5) = -1/3A(3/1) = 2A(-71/1) = -5/36

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Answer:

10[tex]x^{5}[/tex]

Step-by-step explanation:

The list is: 30[tex]x^{7}[/tex], 60[tex]x^{5}[/tex], 110[tex]x^{8}[/tex]

Find the GCF

We see

30, 60, and 110 have the greatest common factor is 10.

[tex]x^{7}[/tex], [tex]x^{5}[/tex], [tex]x^{8}[/tex] have the greatest common factor is [tex]x^{5}[/tex]

So, the greatest common factor for the list of terms is 10 [tex]x^{5}[/tex]

The value of the expression 4x+1/3y² when x = 2 and y = 3 is 1/3

In mathematics, a change of variables is a basic technique used to simplify problems in which the original variables are replaced with functions of other variables. The intent is that when expressed in new variables, the problem may become simpler, or equivalent to a better understood problem.

Finding the value of the expression, we substitute the given values for the variables

(4x+1)/(3y²

when x = 2 and y = 3

4( 2) +1/3(3)²

= 8 + 1/( 3 × 9)

= 9/27

= 1/3

therefore the value of the expression is 1/3

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Answer:

+ 7

Step-by-step explanation:

To find the nth term rule simply we just have to find the difference between the numbers

Difference between numbers

The difference between all our numbers is 7!

Hope this helps, have a lovely day! :)

When the denominator is zero, the divisor is undefined.

In mathematics, division is the process of dividing a quantity into equal pieces or groups. Division reverses the effects of multiplication because it is the inverse operation of multiplication. The amount being divided is referred to as the dividend in division, and the number by which it is being divided is referred to as the divisor. The quotient is the outcome of a division operation.

Explanation:

Left side               Right side

0 ÷ 70 = 0            ⇒ Zero

862 / 0                ⇒ Undefined

97 ÷ 0                  ⇒ Undefined

[tex]\frac{0}{764}[/tex]  = 0                 ⇒ Zero                    

When the denominator is zero, the divisor is undefined.

When the molecule is zero, the divisor is zeros.

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Answer:

(w⁴)⁵

=w⁴*⁵

Answer=w²⁰

Answer:

X AXIS WILL BE ON 4,2 AND Y AXIS WILL BE 4,2 ON BEHALF OF BOTH ANGLES HAVING QUADILATERAL AND THEN APPLY THEOREMS FOR THE EASY SOLUTIONS..

Answer:

21/136

Step-by-step explanation:

The probability of selecting a boy from the class on the first draw is 7 boys out of 17 students total, or 7/17.

After the first boy is selected, there will be 6 boys and 10 girls left in the class.

So the probability of selecting a boy on the second draw, given that a boy was already selected on the first draw, will be 6 boys out of 16 remaining students, or 6/16.

To find the probability that both students selected are boys, we can multiply the probabilities of selecting a boy on the first and second draws:

P(boy and then boy) = P(boy on first draw) x P(boy on second draw | boy on first draw)

P(boy and then boy) = (7/17) x (6/16)

P(boy and then boy) = 21/136

Therefore, the probability of selecting two boys from Mr. Smith's class is 21/136.

Answer:

[tex] \frac{21}{136} [/tex]

Step-by-step explanation:

[tex] \frac{7}{17} \times \frac{6}{16} = \frac{7}{17} \times \frac{3}{8} = \frac{21}{136} [/tex]

The linear function with the greatest slope is at option A.

The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Finding the slope between two separate locations and calculating the slope of a line are related tasks. In general, we require the values of any two separate coordinates of a line in order to determine its slope.

Find the slope for all the function to determine the highest rate:

A. The slope of g(x) is 1, since the change in y is 1 for every 1 unit increase in x.

B. The slope of f is -4/8 or -1/2.

C. The slope of the line passing through (-1, 3) and (2, -3) is (-3 - 3)/(2 - (-1)) = -2/3.

We observe that the slope of linear equation in A is greater.

Hence, the linear function with the greatest slope is at option A.

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The student's test score is 0.76 standard deviations above the mean of the class.

A z-score is a measure of how many standard deviations a data point is from the mean of the data set. It is calculated by subtracting the mean from the data point and dividing by the standard deviation. In this case, the teacher wants to convert the test scores into z-scores relative to the mean and standard deviation of the students in the class.

The formula for calculating a z-score is:

z-score = (data point - mean) / standard deviation

Using the mean and standard deviation provided in the question, the teacher can calculate the z-score for each student's test score by plugging in the values into the formula. For example, if a student scored 150 on the test, their z-score would be:

z-score = (150 - 130) / 26.2
z-score = 0.76

This means that the student's test score is 0.76 standard deviations above the mean of the class. The teacher can use this information to understand how each student's test score compares to the rest of the class.

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The coordinate set that describes the image of rectangle MPAT after the translation of 1 unit right and 2 units up is:

M'(2, 4), P'(2, 5), A'(4, 5), and T'(4, 4).

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for the ordered pairs of the vertices of a figure are defined as follows:

The vertices of the original rectangle are given as follows:

M(1, 2), P(1, 3), A(3, 3), and T(3, 2).

The translation is given as follows:

Hence the equation is:

(x, y) -> (x + 1, y + 2).

Then the coordinates of the vertices are given as follows:

M'(2, 4), P'(2, 5), A'(4, 5), and T'(4, 4).

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Answer:

Step-by-step explanation: