Which of the following could be a unit of volume?
Meter
Liter
Kilogram
Pound

Order these numbers from least to greatest is 47/11 < 37/8 < 4.93 < 4.935 .

To order the given numbers from least to greatest means in increasing order let's compare them:

The numbers are in increasing order. The first nu mber should be lesser than the second number.

Convert the fraction into decimal we get

37/8 ≈ 4.625

47/11 ≈ 4.2727...

4.93

4.935

From least to greatest, the numbers would be

Smallest number is 4.2727 = 47/11

Largest number is 4.935

4.2727...< 4.625 < 4.93 < 4.935

So can be written as :

47/11 < 37/8 < 4.93 < 4.935

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The question is incomplete the complete question is :

Order these numbers from least to greatest 4. 93, 4.935, 47/11, 37/8

Answer:

true

Step-by-step explanation:

if you rewrite \(sec\left(\frac{\pi }{2}\:-x\right)\) with trigonometric identities:

\(sec\left(\frac{\pi }{2}\:-x\right)\)    \(=\frac{1}{\sin \left(x\right)}\)

\(\frac{1}{\sin \left(x\right)}\)  \(=\csc \left(x\right)\)

so, yes,  \(sec\left(\frac{\pi }{2}\:-x\right)\)  \(=\csc \left(x\right)\)

hope this helps!!

Answer:

6.25 hours

Step-by-step explanation:

pages per hour

pages/hour

90/2.5 = 36

36 pages per hour

225 / 36 = 6.25 hours

Answer:

6.25 hours

Step-by-step explanation:

2 and half hours = 2.5 hours

Proportions:

90 pages  ⇔  2.5 hours

225 pages  ⇔  E hours

E = 225*2.5/90

E = 6.25 hours

6.25 hours = 6 and 1 quarter hours

The value of x in the circle is 5

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

The circle

From the circle, we have the following readings

The distances from the center to the adjacent chords are equal

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

x = 5

Hence, the value of x is 5

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The equation of the given ellipse in the standard form with its center at its origin is 4x² + y² = 4.

We require the lengths of the semi-major axis and the semi-minor axis to find the equation of an ellipse in standard form with the origin as the center. The vertex and co-vertex each represent the ends of the semi-major and semi-minor axes, respectively.

a= semi-major axis

b=semi-minor axis

The semi-major axis's length is 0.5 in this instance since the vertex is at (0.5, 0). The co-vertex is (2, 0), which denotes that the semi-minor axis' length is 2.

An ellipse with its center located  at the origin will have its equation in standard form as:

(x²/a²) + (y²/b²) = 1

Taking the values of a and b  let us  write the equation as:

(x²/(0.5)²) + (y²/2²) = 1

(x²/0.25) + (y²/4) = 1

To get rid of fractions, multiply both sides by 4.

4x²+ y² = 4.

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The possible polynomial functions with x-intercepts at (-2,0), (-3,0), and (5,0) will be one of the second degree (quadratic) polynomials. Thus, the correct answer is: Option (d) 2 possible polynomial functions.

The polynomial functions are functions that consist of terms made up of constants, coefficients, and variables that are combined using the four fundamental mathematical operations: addition, subtraction, multiplication, and division.

Here, we are given three x-intercepts at (-2,0), (-3,0) and (5,0).X-intercepts are also known as zeros or roots of a polynomial function.

When a function intersects with the x-axis, it is said to have an x-intercept.In general, any polynomial function of degree n can have n zeros, which are the values of x for which f(x) = 0. So, as we have three x-intercepts, so there will be 3 zeros of the polynomial function.

Therefore, the possible polynomial functions with x-intercepts at (-2,0), (-3,0), and (5,0) will be one of the second degree (quadratic) polynomials. Thus, the correct answer is: Option (d) 2 possible polynomial functions.

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Answer:

x³ + 3x² + 3x + 2

Step-by-step explanation:

Given

(x + 2)(x² + x + 1)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² + x + 1) + 2(x² + x + 1) ← distribute both parenthesis

= x³ + x² + x + 2x² + 2x + 2 ← collect like terms

= x³ + 3x² + 3x + 2

The root mean square (RMS) speed of gas molecules is directly proportional to the square root of the Kelvin temperature.

Relationship between temperature (T) and the RMS speed (v) is given by:

v ∝ √T

If the Kelvin temperature doubles (2T), we can determine the change in the RMS speed as follows:

v2/v1 = √(2T1) / √T1

Simplifying:

v2/v1 = √2√T1 / √T1

= √2

Therefore, the ratio of the final RMS speed (v2) to the initial RMS speed (v1) is √2. In other words, when the Kelvin temperature of an ideal gas doubles, the RMS speed of the gas molecules increases by a factor of √2 or approximately 1.414.

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The angle measures in triangle RGH are:

\(< RGH = 60\\ < HRG = 99\\ < RHG = 41\\\)

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation.

To solve for the value of x and the angle measures in triangle RGH, we can use the fact that the sum of the angles in any triangle is always 180 degrees.

Therefore, we can set up the equation:

\(< RGH + < HRG + < RHG = 180\)

Substituting the given angle measures, we get:

\((6x+6) + (11x-3) + (5x+1) = 180\\\)

Simplifying the equation, we get:

\(22x + 4 = 180\\x = 8\\\)

Now that we know \(x = 8\\\), we can substitute it back into the angle measures to find their values:

\(< RGH = (6x+6) = 54 + 6 = 60\\ < HRG = (11x-3) = 88 + 11 = 99\\ < RHG = (5x+1) = 41\\\)

Therefore, the angle measures in triangle RGH are:

\(< RGH = 60\ degree\\ < HRG = 99\ degree\\ < RHG = 41\ degree\\\)

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y=kx

Substitute the given x and y values, and solve for k .

30=k⋅6

k=5

The equation is y=5x . Now substitute x=100 and find y .

y=5⋅100y=500

Sorry If It's Wrong. . .

Answer:

A

Step-by-step explanation:

For this question, you want to use y=mx+c, where m is the gradient and c is the y-intercept.

We can see the line passes through (-4, 6) and (-1,2), so we can use those points to work out the gradient.

The formula for gradient is m=\(\frac{y_{2} -y_{1}}{x_{2}-x_{1}}\).  By substituting the values above, you get m=\(\frac{6-2}{-4--1}\), which becomes \(\frac{4}{-3}\) or \(-\frac{4}{3}\).

Since we can't exactly determine the y-intercept from the photo, we can sub it in to what we already know to work it out.

Using the point (-4, 6), y=\(-\frac{4}{3}\)x+c can be written as 6=\(-\frac{4}{3}\)(-4)+c.

This can be expanded to 6=\(\frac{16}{3}\)+c or 6=\(5\frac{1}{3}\)+c.

Subtracting \(-\frac{4}{3}\) from both sides gives c=\(\frac{2}{3}\).

Putting this all back in the question, we get y= \(-\frac{4}{3}\)x+\(-\frac{4}{3}\), or A.

**This question involves writing linear equations, which you may want to revise. I'm always happy to help!

Slope of the line passing through (-5,-4)  and (-1,3)is 1.75

The slope formula

slope = (y₂ - y₁) / (x₂ - x₁)

Notice that the slope of a line is easily calculated by hand using small, whole number coordinates. The formula becomes increasingly useful as the coordinates take on larger values or decimal values.

The  points belong to an increasing, linear function.

Equation: y = 1.75x + 4.75.

m=7/4=1.75.

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Answer:

https://allnswers.com/mathematics/question15119051Step-by-step explanation:

The median of the given list of numbers is 87.

To find the median of a list of numbers, we arrange them in ascending order and identify the middle value.

If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

First, let's arrange the numbers in ascending order:

65.9, 68, 70, 74, 75, 78, 84, 86, 87, 90, 93, 93, 95, 96, 97, 380, 486, 680

There are 17 numbers in the list, which is an odd number. The middle number is the 9th number in the list, which is 87.

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Answer:

devide 1080 by 5 and 2880 by 5 the it will 216 and 576

Answer: 1080 is an. Octagon, 8 sides

180 is a triangle.

2880 is an 18gon 18 sides

Step-by-step explanation:

Divide the sum of the interior angles by 180 and add 2 to the dividend.

1080/180=>6+2=8

180/180 => 1 +2 =3

2880/180=> 16+2= 18

Answer:

otherwise I have no idea what I want and I have been a member at least I don't know if I'm just going well and you had a great

We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:

The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:

Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:

Where (from tables):

Finally, the interval at 98% confidence level is:

The answer to the question is no, there is not convincing evidence of a difference between the population proportions.

Confidence intervals are used to estimate the range of possible values of an unknown population parameter based on a sample. If the confidence interval does not contain 0, it means that the difference between the sample proportions is statistically significant, which suggests that the difference between the population proportions may also be statistically significant. However, to conclude that there is convincing evidence of a difference between the population proportions, it is important to make sure that the conditions for performing the hypothesis test have been met, such as the independence of the sample and the normality of the population.

In this case, it seems that the conditions have not been met, so we cannot use this interval to conclude that there is convincing evidence that the true proportion of men who can identify Egypt on the map is different from the true proportion of women that can identify Egypt on a map.

Therefore, the answer to the question is no, there is no convincing evidence of a difference between the population proportions.

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The answer to the question is no, there is not convincing evidence of a difference between the population proportions.

Confidence intervals are used to estimate the range of possible values of an unknown population parameter based on a sample. If the confidence interval does not contain 0, it means that the difference between the sample proportions is statistically significant, which suggests that the difference between the population proportions may also be statistically significant. However, to conclude that there is convincing evidence of a difference between the population proportions, it is important to make sure that the conditions for performing the hypothesis test have been met, such as the independence of the sample and the normality of the population.

In this case, it seems that the conditions have not been met, so we cannot use this interval to conclude that there is convincing evidence that the true proportion of men who can identify Egypt on the map is different from the true proportion of women that can identify Egypt on a map.

Therefore, the answer to the question is no, there is no convincing evidence of a difference between the population proportions.

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Answer:

This is a classical problem which has delighted calculus students down through the ages.

We first express the volume of the box as a function of x, the side of the square which is cut out of each corner.

The resulting box will have a base which is a square which all of whose sides will have length 12 - 2x. The height of the box will be x. Therefore, the volume will be

V = (12 - 2x)2x

= 144x - 48x2 + 4x3

Step-by-step explanation:

hope this helps

Answer:

1.625 hours

Step-by-step explanation:

The equation is

d = rt  where d is distance  r is rate and t is time

65 = 40 *t

Divide each side by 40

65/40 = t

1.625 hours = time

Answer:

We get the approximate value of [n] as 5.

What is logarithm? What is a mathematical equation and expression?

A quantity representing the power to which a fixed number (the base) must be raised to produce a given number. We can write -

$$$\log_{b}({b^x})=x$$

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.

A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have 31,100 is rounded to the nearest power of 10 and [N] represents a power of 10.

We can write -

We can write -10ⁿ = 31100

We can write -10ⁿ = 3110010ⁿ = 311 x 10²

We can write -10ⁿ = 3110010ⁿ = 311 x 10²10ⁿ ⁻ ² = 311

We can write -10ⁿ = 3110010ⁿ = 311 x 10²10ⁿ ⁻ ² = 311log(10ⁿ ⁻ ²) = log(311)

We can write -10ⁿ = 3110010ⁿ = 311 x 10²10ⁿ ⁻ ² = 311log(10ⁿ ⁻ ²) = log(311)(n - 2) log 10 = log (311)

We can write -10ⁿ = 3110010ⁿ = 311 x 10²10ⁿ ⁻ ² = 311log(10ⁿ ⁻ ²) = log(311)(n - 2) log 10 = log (311)n - 2 = log(311)/log(10)

We can write -10ⁿ = 3110010ⁿ = 311 x 10²10ⁿ ⁻ ² = 311log(10ⁿ ⁻ ²) = log(311)(n - 2) log 10 = log (311)n - 2 = log(311)/log(10)n - 2 = 2.5

We can write -10ⁿ = 3110010ⁿ = 311 x 10²10ⁿ ⁻ ² = 311log(10ⁿ ⁻ ²) = log(311)(n - 2) log 10 = log (311)n - 2 = log(311)/log(10)n - 2 = 2.5n = 4.5

We can write -10ⁿ = 3110010ⁿ = 311 x 10²10ⁿ ⁻ ² = 311log(10ⁿ ⁻ ²) = log(311)(n - 2) log 10 = log (311)n - 2 = log(311)/log(10)n - 2 = 2.5n = 4.5n = 5 (approx.)

We can write -10ⁿ = 3110010ⁿ = 311 x 10²10ⁿ ⁻ ² = 311log(10ⁿ ⁻ ²) = log(311)(n - 2) log 10 = log (311)n - 2 = log(311)/log(10)n - 2 = 2.5n = 4.5n = 5 (approx.)Therefore, we get the approximate value of [n] as 5.

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Answer:

Y'(-5, 5)

Step-by-step explanation:

To find the coordinates of Y' after the translation, we apply the given rule to the coordinates of point Y(-3, 4).

Using the translation rule (x, y) → (x - 2, y + 1), we can substitute the coordinates of Y(-3, 4) into the rule:

x' = x - 2 = -3 - 2 = -5

y' = y + 1 = 4 + 1 = 5

Therefore, the coordinates of Y' are (-5, 5).

The probability of outcome to be a 5 is 1/13. The probability of outcome not be 5 is 12/13. The probability of outcome to be a diamond or a king is 4/13. The probability of the outcomes to be a jack or a queen is 2/13. The probability of The outcome to be a heart and a club is 0 and the probability of the outcomes to be a card greater than 6 and less than 9 is  2/13.

A deck contains a total of 52 cards.

Total outcomes if the selected number of cards is one=52

Case A:

Each suit contain one 5 numbered card. There are four suits. Therefore, The required outcome would be 4.

Probability of an outcome is the ratio of desired outcomes to the total outcomes.

The probability of outcome to be 5, P(A):
P(A)=4/52

P(A)=1/13

Case B:

The total probability of outcomes=52/52=1

The probability of the outcome to be 5=1/13

Therefore, the probability of the outcome not to be 5, P(B):

P(B)=1-(1/13)

P(B)=12/13

Case C:

Each suit carries a king. Therefore, the probability of the outcome to be a king, P(M):

P(M)=4/52

P(M)=1/13

A suit carries 13 cards. Therefore, there will be 13 cards of diamonds.

The probability of the outcome to be a diamond, P(N):

P(N)=13/52

P(N)=1/4

The probability that the outcome is a king of diamonds, P(M\(\cap\)N):

P(M\(\cap\)N)=1/52

Hence, the probability that the outcome is a diamond or a king, P(M\(\cup\)N):

P(M\(\cup\)N)=P(M)+P(N)-P(M\(\cap\)N)

P(M\(\cup\)N)=(1/13)+(1/4)-(1/52)

P(M\(\cup\)N)=16/52

P(M\(\cup\)N)=4/13

Case D:

Each suit carries a Jack. Therefore, the probability of the outcome to be a jack, P(P):

P(P)=4/52

P(P)=1/13

Each suit carries a Queen. Therefore, the probability of the outcome to be a Queen, P(Q):

P(Q)=4/52

P(Q)=1/13

The probability that the outcome is a jack and a queen, P(P\(\cap\)Q):

P(P\(\cap\)Q)=0/52

P(P\(\cap\)Q)=0

Hence, the probability that the outcome is a jack or a queen, P(P\(\cup\)Q):

P(P\(\cup\)Q)=P(P)+P(Q)-P(P\(\cap\)Q)

P(P\(\cup\)Q)=(1/13)+(1/13)-0

P(P\(\cup\)Q)=2/13

Case E:

A card is never a heart and a club. Therefore, the probability of a card to be a heart and a club is 0.

Case F:

The numbers greater than 6 and less than 9 are the numbers between 6 and 9. The numbers between 6 and 9 are 7 and 8.

Each suit carries one 7 numbered card and one 8 numbered card. There is a total of 4 suits.

Therefore the desirable outcomes=8

The probability of the outcome required=8/52

=2/13

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The total number of fishes present in the lake on my 1 is 840.

The given data for the question-

September is equivalent to a percentage of tagged fish in May.

3/42 = 60/x

x = 60 *42 / 3

x = 840

Thus, the total number of fishes present in the lake on my 1 is 840.

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Answer:

did not get the point of the sum

After the sixteenth bounce, the basketball would be nearest which is 0.01 meters.

Height after dropping from a height = 3m

Bounce up rate = 75%

Height in first bounce = 2.25m (3 x 0.75)

Height in second bounce = 1.68m (2.25 x 0.75)

Height in third bounce = 1.26m (1.68 x 0.75)

Height in fourth bounce = 0.70m (0.94 x 0.75)

Height in fifth bounce = 0.525m (0.70 x 0.75)

Height in sixth bounce = 0.39m (0.52 x 0.75)

Height in seventh bounce = 0.29m (0.39 x 0.75)

Height in eighth bounce = 0.21m (0.29 x 0.75)

Height in ninth bounce = 0.15m (0.21 x 0.75)

Height in tenth bounce = 0.11m (0.15 x 0.75)

Height in eleventh bounce = 0.08m (0.11 x 0.75)

Height in twelfth bounce = 0.06m (0.08 x 0.75)

Height in thirteenth bounce = 0.04m (0.06 x 0.75)

Height in fourteenth bounce = 0.03m (0.04 x 0.75)

Height in fifteenth bounce = 0.02m (0.03 x 0.75)

Height in sixteenth bounce = 0.01m (0.02 x 0.75)... so on

After the sixteenth bounce, the basketball would be nearest.

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