Solve the rational equation for y.
4/5 + 11/y = 87/40

Answer:

-13x^2 + 6x + 11

Step-by-step explanation:

Just subtract the numbers that are similar (i.e. -5x^2 - 8x^2)

8π is the circumference

Answer:

0

Step-by-step explanation:

Answer:

Your input: find the distance between P=(−3,11)

P

=

(

−

3

,

11

)

and Q=(−6,4)

Q

=

(

−

6

,

4

)

.

The distance between two points is d=(x2−x1)2+(y2−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

d

=

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

.

We have that x1=−3

x

1

=

−

3

, y1=11

y

1

=

11

, x2=−6

x

2

=

−

6

, y2=4

y

2

=

4

.

So, d=(−6−(−3))2+(4−(11))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=58‾‾‾√

d

=

(

−

6

−

(

−

3

)

)

2

+

(

4

−

(

11

)

)

2

=

58

.

Answer: d=58‾‾‾√≈7.61577310586391

d

=

58

≈

7.61577310586391

.

Step-by-step explanation:

Hey! Got this off of someone else ages ago.. hope this helps tho

Answer:

no you cant

Step-by-step explanation:

Answer:

50 minutes

Step-by-step explanation:

so it takes 25 minutes to boil 10 egggs so right now we have to find out the how Long one egg cooks for so it’s 25/10 and the answer is 2.5 and 2.5 times 20 is 50 so it takes 50 mins to cook 20 eggs

Answer:

7.6032,7.63,7.6

Sorry if I am wrong.

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Bisecting a line means to cut it at the middle.

Meaning we can set 3x = 27.

x=9

2x=18

Brainliest Please

False. The frequency polygon and the histogram are two different ways to represent data, and they have distinct characteristics.

A frequency polygon is a line graph that displays the distribution of a quantitative variable. It shows the frequency of each value or class interval on the horizontal axis and the corresponding frequencies on the vertical axis. The points on the graph are connected to form a line, which gives a visual representation of the data distribution.

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The expression to represent your monthly earnings would be 4550x - 400y.

What are the linear equations in two variables?

A linear equation in two variables is one that is written in the form ax + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e. a and b, are not equal to zero. For example, 10x+4y = 3 and -x+5y = 2 are two-variable linear equations.

Let the number of clients signed be 'x' and the number of clients whose business lose for the company be 'y'.

For each client signed company will earn = $4300 + $250

and for every client, y, whose business you lose for the company the penalty would be = $400

So we can prepare the equation for total monthly earning as

Monthly earning = (4300 + 250)x - (400)y

                            = 4550x - 400y.

Hence, the expression to represent your monthly earnings would be

4550x - 400y.

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Answer:

x < 3

Step-by-step explanation:

2/3 x + 8 < 10

2/3 x < 10 - 8

2/3 x < 2

x < 2*3/2

x < 3

The answer choice which represents the quotient of the expression given is; 1/(t+4)².

It follows from the task content that the quotient which is to be evaluated is;

(t+3)/t+4) ÷ (t²+7t +12)

The quotient can therefore be evaluated as follows;

= (t+3)/t+4) ÷ (t+3)(t+4)

= (t+3)/t+4) × 1/(t+3)(t+4)

= 1/(t+4) × 1/(t+4)

= 1/(t+4)².

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Answer:

c

Step-by-step explanation:

c

The probability of finding such people will get closer to 0.61 as the sample gets bigger.

a) This means that if you were to take a large sample of US adults and inquire them about having breakfast, about 61%(i.e. 0.61) will say that they usually have breakfast.

b) It is, for sure, expected that if we take a sample of 100, around 61% of these americans will say that they usually eat breakfast. But if the number will be 61 exactly is not a certainty and it will vary from sample to sample.

The probability of finding such people will get closer to 0.61 as the sample gets bigger.

Explanation has been provided in the answers above due to their descriptive nature.

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The value of x in the equation 316 = 924 is not determined. It is not possible to find a value of x that satisfies the equation since 316 is not equal to 924.

The given equation, 316 = 924, states that the two sides of the equation are equal. However, upon inspection, we can see that 316 is not equal to 924. Therefore, there is no value of x or any other variable that can make this equation true.

In conclusion, the equation 316 = 924 does not have a solution for x since the left-hand side and the right-hand side are not equal.

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The values of the equivalent expressions are 0, -2, 0, 0, 2 and 2 respectively.

To find equivalent expressions, we can use the property of additive inverses, which states that the sum of a number and its additive inverse is always equal to zero. That is:

a + (-a) = 0

We can use this property to rewrite the expressions as follows:

a. 3 + (-3) = 0

b. 3 - 5 = 3 + (-5) = -2

c. 3 + (-3) = 0

d. -3 + 3 = 0

e. -3 + 5 = 2

f. 5 - 3 = 5 + (-3) = 2

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The area of the quarter circle with radius 3ft is \(7.065 ft^2\)

Area of a quarter circle is given by the formula:

\(Area = \frac{\pi r^2}{4}\)

Where r represents the radius of the circle

In the quarter circle shown, the radius, r = 3 feet

π  =  3.14

Substitute π = 3.14 and r = 3 into the formula \(Area = \frac{\pi r^2}{4}\)

\(Area = \frac{3.14 \times 3^2}{4}\\\\Area = \frac{3.14 \times 9}{4}\\\\Area = \frac{28.26}{4}\\\\Area = 7.065 ft^2\)

The area of the quarter circle with radius 3ft is \(7.065 ft^2\)

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The volume of the solid generated is 3π/2 cubic units.

Consider a vertical strip of width dx at a distance x from the y-axis. The strip is at a height y = sinx from the x-axis and has a length of 2πy, as it encompasses the entire circumference of the shell. The radius of the shell is x, since it is at a distance x from the y-axis. The volume of this shell is given by:

dV = 2πyxdx

Integrating this expression from x = π/2 to x = π, we obtain the total volume of the solid:

V = ∫π/2^π 2πyxdx = 2π ∫π/2^π y*sinx dx

Using integration by parts, with u = sinx and dv = dx, we can find that:

∫π/2^π ysinx dx = [-cosxy]π/2^π - ∫π/2^π cosx*y' dx

where y' = dy/dx = cosx. Integrating by parts again, with u = cosx and dv = dx, we get:

∫π/2^π ysinx dx = [-cosxy]π/2^π + [sinxy']π/2^π - ∫π/2^π sinxy'' dx

where y'' = dy'/dx = -sinx. Substituting the expressions for y' and y'' gives:

∫π/2^π ysinx dx = [-cosxsinx + y*cosx]π/2^π + ∫π/2^π sin^2(x) dx

The integral of sin^2(x) can be evaluated as:

∫π/2^π sin^2(x) dx = [x/2 - (1/4)*sin(2x)]π/2^π

Substituting this into the previous equation, we get:

V = 2π [-cosxsinx + ycosx + x/2 - (1/4)*sin(2x)]π/2^π

Evaluating this expression at x = π and x = π/2 and subtracting, we get:

V = 2π [(1/2) + (π/4) + (1/4)*sin(π) - (-1/2) - (π/4) - (1/4)*sin(π/2)]

= 2π [1/2 + π/4 + 1/4]

= 3π/2

Therefore, the volume of the solid generated is 3π/2 cubic units.

To find the volume of the solid generated by revolving the region bounded by the curves y = sinx and y = 0 between x = π/2 and x = π around the x-axis, we can use the method of cylindrical shells.

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Answer:

14200

Step-by-step explanation:

The formula of amount be , A = P + SI = P + {(P × R × T)/100} = 14200

Simple interest exists estimated with the following formula:

S.I. = (P × R × T)/100,

where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually computed as the number of years.

The rate of interest is in percentage r% and exists to be noted as r/100.

Given: P = 6000, T = 10 and R = 12

S.I. = (P × R × T)/100

\($SI = (6000*12*10)/100\)

SI = 7200

A = P + SI

A = 6000 + 7200

A = 14200

Therefore, the amount = 14200.

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Answer:

  x = 4

Step-by-step explanation:

You want the equation of the vertical line through (4, 6).

Slope is the ratio of rise to run for a line. When the "run" is zero, that ratio becomes undefined. The "run" will be zero for any rise when the line is vertical.

The equation of such a line has the form ...

  x = c . . . . . for some constant c

In order for this equation to be satisfied when (x, y) = (4, 6), the value of the constant must match the x-coordinate of the point.

The equation is x = 4.

Answer:

ace

Step-by-step explanation:

Answer:

See attached

Step-by-step explanation:

Solution in the picture

Apply distributive property:

Combine like terms

the pool contains 6,000 liters of water

Answer:

6000

Step-by-step explanation:

There's 0.001 kiloliters in a liter

1kl=1000 liters

Answer:

The width of the garden is 7 feet.

Step-by-step explanation:

If the area is 56 feet, and the length is 8 feet, we can put this into the area equation.

Area = width * length

A = wl

Substitute variables.

56 = 8w

Divide by 8.

7 = w, or w = 7.

The width of the garden is 7 feet.

The Chi-square test is a statistical test used to determine if there is a significant difference between observed and expected frequencies in categorical data. In this example, the test is used to assess whether there is a significant difference in the mean breaking strengths of two types of cables.

The Chi-square test of significance is employed when dealing with categorical or nominal data. It compares the observed frequencies with the frequencies that would be expected if the variables were independent. In this case, the breaking strengths of the two cables are the variables of interest.

To perform the test, the first step is to define the null hypothesis (H0) and the alternative hypothesis (Ha). In this example, H0 assumes that there is no difference in the mean breaking strengths of the two cables, while Ha suggests that there is a difference.

Next, the test statistic, denoted by X2 (chi-square), is calculated using the formula X2 = Σ[(O - E)²/E], where O represents the observed frequencies and E represents the expected frequencies under the assumption of independence.

To determine the expected frequencies, we need to estimate the means and variances of the breaking strengths. Here, x = 1925 and sigma = 40 for the first cable, and x = 1905 and sigma = 30 for the second cable.

Once the test statistic is calculated, it is compared to a critical value from the Chi-square distribution with degrees of freedom equal to (r - 1)(c - 1), where r is the number of rows and c is the number of columns in the contingency table. The significance level of 0.01 determines the critical value.

If the calculated X2 value is greater than the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to indicate a difference in the mean breaking strengths of the two cables. Conversely, if the calculated X2 value is less than or equal to the critical value, we fail to reject the null hypothesis and conclude that there is no significant difference.

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Here

\(\\ \sf\longmapsto PD\cong PC\)

As

P is the midpoint of AC and BD

\(\\ \sf\longmapsto AC=BD\)

\(\\ \sf\longmapsto AP+PC=PD+BP\)

\(\\ \sf\longmapsto AP+PC=PC+PB\)

\(\\ \sf\longmapsto AP=BP\)(Proved)

The scatter plot for the above data is attached accordingly.

The scatter plot for the given data table would show a generally positive linear relationship between the x-values and y-values.

The data points would cluster around a line that slopes upwards from left to right. There may be some variability in the data, but overall, there is a trend of increasing y-values as x-values increase.

Therefore, a line of best fit can be used to approximate the relationship between the variables.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Use the given data set to complete parts? (a) through? (c) below.? (Use alphaequals?0.05.) x 10 8 13 9 11 14 6 4 12 7 5 y 9.14 8.13 8.75 8.77 9.26 8.11 6.13 3.11 9.13 7.27

a. Construct a scatterplot.