Is 16/60 and 4/15 equivalent ratio

Answer:

2√2 units.

Step-by-step explanation:

To find the length of the line joining points A(3, 5) and B(1, 3), we can use the distance formula. The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Substituting the coordinates of points A and B into the formula, we have:

d = sqrt((1 - 3)^2 + (3 - 5)^2)

  = sqrt((-2)^2 + (-2)^2)

  = sqrt(4 + 4)

  = sqrt(8)

  = 2sqrt(2)

Therefore, the length of the line joining points A and B is 2√2 units.

The expected profit for the gambler is $4,621

The possible outcomes are:

Then the expected profit is:

P = ($6,500*0.81 + $200*0.08 - $6,000*0.11) = $4,621

The expected profit for the gambler is $4,621

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Answer:

2.3 hours

Step-by-step explanation:

From 3:12 pm to 4:12 pm, one hour passes.

From 4:12 pm to 5:12 pm, another hour passes.

From 5:12 pm to 5:30 pm, there are 18 minutes that pass.

Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.

To convert this to a fraction, we can write:

2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours

So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.

Answer:

Radius is 4.5

Step-by-step explanation:

Radius is always half the diameter.

Step-by-step explanation:

Out of the given options, only √196 is a rational number.

A rational number is a number that can be expressed as the ratio of two integers. In other words, it can be written in the form of p/q where p and q are integers and q is not equal to zero.

√56 cannot be simplified further and has no integer factors that can be canceled out to express it as a ratio of two integers. Therefore, it is an irrational number.

Similarly, √63 and √240 cannot be simplified further and do not have any integer factors that can be canceled out to express them as a ratio of two integers. Therefore, they are also irrational numbers.

On the other hand, √196 simplifies to 14 which is a ratio of two integers (14/1). Hence, it is a rational number.

In summary, only √196 is a rational number out of the given options.

The y-coordinate of -3f(x-1) when x = 0 is -63

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

The table of values

So, we have

-3f(x - 1)

When x = 0, we have

y = -3f(0 - 1)

This gives

y = -3f(-1)

From the table, we have

y = -3 * 21

Evaluate

y = -63

Hence, the y-coordinate is -63

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Answer:

1/2

Step-by-step explanation:

The amplitude is 1/2.

The amplitude of the sin function is 1/2.

We have given the function

f(x) = 1/2sin(2x)

y(x,t)=Asin(kx−ωt+ϕ)

A is the amplitude of the wave.

ω is the wave's angular frequency.

k is the wavenumber

ϕ is the phase of the sine wave

Compare the given equation with the general formula of the sin wave.

Therefore we get,

y(x,t)=f(x)

A=1/2

Therefore the amplitude of the sin function is 1/2.

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Answer:

560 is the answer hope the helps.

Step-by-step explanation:

Answer:

Emanuel made huis mistake in first step and step 1 is incorrect.

Step-by-step explanation:

The given expression is

(\frac{3}{5})(\frac{4}{9})(-\frac{1}{2})(

5

3

)(

9

4

)(−

2

1

)

It can be written as

\frac{3}{5})(\frac{4}{9})(\frac{-1}{2}

5

3

)(

9

4

)(

2

−1

Step 1: (\frac{(3)(4)(-1)}{(5)(9)(2)})(

(5)(9)(2)

(3)(4)(−1)

)

Emanuel used negative sign with both numbers 1 and 2. Therefore the first step of Emanuel is incorrect.

Step 2: \frac{-12}{90}

90

−12

Step 3: \frac{-2}{15}

15

−2

Therefore Emanuel made huis mistake in first step and step 1 is incorrect

Step-by-step explanation:

all the steps are given below

The first error in the fraction simplification happened in the first step.

The fraction expression is given to us as:

(³/₅)(⁴/₉)(-¹/₂)

The first step to take is to separate the numerators and denominators to get:

(3 * 4 * -1)/(5 * 9 * 2)

In the given steps, we see that the 2 at the denominator has the negative sign but the correct way to write it is a positive sign as the numerator carries the negative sign.

Thus, the first error happened in the first step.

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Answer:1760

Step-by-step explanation:

Answer:

-39

hope it will help you

Answer:

25-5 [27+8-12/4]

25-5[27+8-3]

25-5[35-3]

25-5*32

25-160

135

The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:

L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2

The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.

Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:

L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral  be solved.

We can, however, find a general solution. We use the above formula and substitute the limits of integration.

Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

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Answer:

Cddd

Step-by-step explanation:

The linear function is given as follows:

\(y = \sqrt{x} + 4\)

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The y-intercept is of 4, hence the parameter b is given as follows:

b = 4.

The line is inclined to 60° with the positive direction of X-axis, hence the slope m is given as follows:

m = tan(60º)

\(m = \sqrt{3}\)

Thus the function is given as follows:

\(y = \sqrt{x} + 4\)

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The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by

3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.

To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:

x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))

x = (6 ± √(36 - 24)) / 6

x = (6 ± √12) / 6

x = (6 ± 2√3) / 6

x = (3 ± √3) / 3

Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)

So, option a is the correct answer.

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Answer:

20 calories per Cheetos

Step-by-step explanation:

hope it helped

Answer:

Step 1

Step-by-step explanation:

His first error occurred in step 1.

The common denominator of \( \frac{2}{9} \) and \( \frac{1}{5} \) is 45, and not 14.

Common denominator of both fractions, is a number of which both 9 and 5 are its factor. That is, it is a common multiple of 9 and 5.

45 can be divided by 9 without remainder. Also 45 can be divide by 5 without a remainder.

45 would make both fractions common not 14.

The remainder theorem indicates that remainder when the polynomial x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) is 8

The remainder theorem specifies the relationship between the division of a polynomial by a linear factor to the value of the polynomial at a specified point

The remainder when the polynomial expression; x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by x - 1, can be found using the remainder theorem by plugging in x = 1 in the function as follows;

f(1) = 1⁵ - 3 × 1⁴ - 2 × 1³ - 5 × 1² + 5 × 1 + 12 = 8

The remainder when x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) therefore is 8

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The length of side CB to one decimal place is 89.3.

To find the length of side CB in the given triangle, we can use the sine rule. The sine rule states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

In this case, we have the angle C as 53° and the side opposite to it, side CB, as the unknown. Let's denote the length of side CB as x.

According to the sine rule:

sin(C) / x = sin(A) / AB

We know that angle A is 37° and AB is 120 units. Plugging in the values:

sin(53°) / x = sin(37°) / 120

To find x, we can rearrange the equation:

x = (120 * sin(53°)) / sin(37°)

Calculating this expression gives us:

x ≈ 89.32

Rounding this value to one decimal place, the length of side CB is approximately 89.3.

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Answer:

A.

Step-by-step explanation:

I hope it helps

carryonlearning

have a great, good, nice, happy day

Answer:

4 hours.

Step-by-step explanation:

Answer:

your all good

Step-by-step explanation:

great job!

Answer:

13

Step-by-step explanation:

\(\triangle ABC \sim \triangle ADE => \frac{x}{x+10}=\frac{x+3}{x+16}=>x^{2}+16x=x^{2}+13x+30=>3x=30=>x=10\\DE=x+3=>DE=13\)

The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median.

A whisker plot, also known as a box and whisker plot, is a graphical representation of a set of numerical data through their quartiles. The plot consists of a box with whiskers extending from the top and bottom, showing the spread and distribution of the data. The five-number summary, which includes the minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value, is used to create the whisker plot.

Here,

To create a box and whisker plot, we need to find the five-number summary of the data set, which includes:

Minimum value: the smallest value in the data set.

First quartile (Q1): the median of the lower half of the data set.

Median: the middle value in the data set.

Third quartile (Q3): the median of the upper half of the data set.

Maximum value: the largest value in the data set.

First, we need to put the data in order:

10, 12, 14, 15, 16, 18, 22, 24, 25, 28

The minimum value is 10 and the maximum value is 28.

The median is the middle value, which is 18.

To find the first quartile, we need to find the median of the lower half of the data set, which is:

10, 12, 14, 15, 16

The median of this lower half is 14.

To find the third quartile, we need to find the median of the upper half of the data set, which is:

22, 24, 25, 28

The median of this upper half is 24.

So, the five-number summary for this data set is:

Minimum value = 10

First quartile (Q1) = 14

Median = 18

Third quartile (Q3) = 24

Maximum value = 28

Now we can use this information to create the box and whisker plot:

      |          |      

 ----+----+----+----+----

    10   14   18   24   28

The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median. The whiskers extend from the box to the minimum and maximum values in the data set.

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Answer:

The inequalities that are true when x = -8 are:

-2x + 92 = -2 * -8 + 92 = 12 + 92 = 104

-x - 2 > -3, -(-8) - 2 > -3, 8 - 2 > -3, 6 > -3

The other inequalities are not true when x = -8.

Ox + 125 - 4 = (-8)x + 125 - 4 = -8x + 121, which is not a valid inequality as it contains a variable with no value.

3x + 8 > -15, 3 * -8 + 8 > -15, -24 + 8 > -15, -16 > -15, which is not true.

-* + 9 < 12, -* is not a valid mathematical expression and cannot be evaluated.

Regenerate response

Step-by-step explanation:

The inverse of the function is f⁻¹ ( x ) = 5 / ( x - 4 )

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 equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

f ( x ) = ( 5/x ) + 4   be equation (1)

On simplifying the equation , we get

y = ( 5/x ) + 4

Now , replacing x with y , we get

x = ( 5/y ) + 4

On solving for y , we get

5/y = x - 4

y = ( 5 / x - 4 )

Now , the inverse of the function is f⁻¹ ( x ) = 5 / ( x - 4 )

Hence , the equation is f⁻¹ ( x ) = 5 / ( x - 4 )

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Answer: Final Balance is $11,591.87 and the total compound interest is $1,731.87.

Step-by-step explanation: