simply this 3/5-5/8

The ratio of votes for candidate B compared to candidate A is 1.3:1

What is Ratio?

A ratio in mathematics illustrates how many times one number contains another.

If there were a total of 64 votes and 28 votes went to candidate A, then the number of votes for candidate B can be found by subtracting the votes for candidate A from the total number of votes:

64 - 28 = 36

So, candidate B received 36 votes.

To find the ratio of votes for candidate B compared to candidate A, we divide the number of votes for candidate B by the number of votes for candidate A:

36 / 28 = 1.3

Therefore, The ratio of votes for candidate B compared to candidate A is 1.3:1

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The volume of the pyramid is 18.86 cubic meters.

Now, For the volume of a pyramid with a square base, we can use the formula:

Volume = (1/3) x Base Area x Height

Given that;

the area of the base is 6.5 m² and the height of the pyramid is 8.6 m,

Hence, we can substitute these values in the formula to get:

Volume = (1/3) x 6.5 m² x 8.6 m

Volume = 18.86 m³

(rounded to two decimal places)

Therefore, the volume of the pyramid is 18.86 cubic meters.

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Answer:

b < -1

Step-by-step explanation:

Step 1: Write inequality

-3(6b - 1) > 18 - 3b

Step 2: Solve for b

Distribute -3: -18b + 3 > 18 - 3b

Add 18b to both sides: 3 > 18 + 15b

Subtract 18 on both sides: -15 > 15b

Divide both sides by 15: -1 > b

Rewrite: b < -1

The best interpretation of the intercept in the given LSR model is: a student who scored a 0 on the midterm is expected to score a 60 on the final exam.

The intercept in a linear regression model represents the value of the dependent variable (final exam score) when the independent variable (midterm score) is equal to 0. In this case, when the midterm score is 0, the LSR model predicts that the final exam score will be 60.

Therefore, option (a) is the correct interpretation of the intercept. It signifies the baseline expectation for a student who didn't perform on the midterm (scored 0) and the anticipated final exam score they would receive (60).

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Answer:

A single number that estimates the value of an unknown parameter is called a point estimate.

Step-by-step explanation:

Don't see the point (haha) of elaborating

The inequality and number line that shows the solution is x>-7.

Given,

-4x <28

(-4x) (-1) > 28 (-1)

Simplify

4 x>-28

Divide both sides by 4

\(\frac{4 x}{4} > \frac{-28}{4}\)

Simplify

x>-7

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An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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Answer:

J+XKEN

Step-by-step explanation:

Answer:

6 Deceptively Simple Maths Problems That No One Can Solve · The Collatz conjecture · The Beal conjecture · The Inscribed Square problem · Goldbach's conjecture.

Step-by-step explanation:

mark as brain or give a thanks pls and thanks :)

Answer:

Approximately 11.1666666667 rows

Step-by-step explanation:

134/12= 11.1666666667

Answer:

  12 rows

Step-by-step explanation:

  (134 students) / (12 students/row) = 11 2/12 rows

The 6th-graders will need 12 rows of seats. The last row will not be filled.

The energy of each photon in the beam is given by E = hc/λ, where h is Planck's constant, c is the speed of light, and λ is the wavelength. Substituting the values, we get E = (6.626 x 10^-34 J s)(2.998 x 10^8 m/s)/(500 x 10^-9 m) = 3.98 x 10^-19 J.

The intensity of the beam is the rate at which energy is passing through a unit area perpendicular to the direction of propagation of the beam, given by I = P/A, where P is the power and A is the area. The power of the beam is the product of the energy of each photon and the number of photons passing through a unit area per unit time, given by P = nEAv, where n is the concentration of photons, A is the area, v is the speed of the beam, and E is the energy of each photon.

Substituting the values, we get P = (1.7 x 10^13 m^-3)(3.98 x 10^-19 J/photon)(1 m^2/s)(2.998 x 10^8 m/s) = 1.02 W. The area of the beam is not given, so we cannot calculate the intensity directly. However, if we assume a circular beam with a radius of 1 cm (area = πr^2 = π(0.01 m)^2 = 3.14 x 10^-4 m^2), we can calculate the intensity as I = P/A = 1.02 W/3.14 x 10^-4 m^2 = 3.24 x 10^3 W/m^2, which is closest to option E) 3.2 x 10^2 W/m^2 (after rounding to the nearest tenth).

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The median price from the given data is 648,303.

To find the median price from the given data, we need to arrange the prices in ascending order and then locate the middle value. If there is an odd number of data points, the median will be the middle value. If there is an even number of data points, the median will be the average of the two middle values.

Let's arrange the data in ascending order:

181,386,243,922,355,008,406,791,542,820,648,303,782,200,845,053,924,494,1,089,774,1,175,704,1,274,928,1,308,954

There are a total of 13 data points, which is an odd number. So, the median price is the middle value.

The middle value is the 7th value:

Median Price = 648,303

Therefore, the median price from the given data is 648,303.

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Answer:

I think 15% im sorry if this is wrong

Answer:

Step-by-step explanation:

Divide 4588 gallons by 31 days to find the consumption per day:

4588/31 = 148

Next, divide 148 gallons/day by 3 to determine the individual use per day:

148 gallons/day

------------------------ = 49.333    Round this off to 49 gallons/day per person

     3 people

Answer:

angle X is equal to 130 degree

Step-by-step explanation:

angle sum prop in septagin is 900 degree

so 900-770 is 130

Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.

The maximum error made is 0.046875.

a) To find the roots of the function f(x) = x^3 - 5x^2 + 17x + 21 using the Bisection method, we will start with an interval [a, b] such that f(a) and f(b) have opposite signs.

Then, we iteratively divide the interval in half until we reach the desired number of iterations or until we achieve a satisfactory level of accuracy.

Let's start with the interval [1, 4] since f(1) = -6 and f(4) = 49, which have opposite signs.

Iteration 1:

Interval [a1, b1] = [1, 4]

Midpoint c1 = (a1 + b1) / 2 = (1 + 4) / 2 = 2.5

Evaluate f(c1) = f(2.5) = 2.5^3 - 5(2.5)^2 + 17(2.5) + 21 = 2.375

Since f(a1) = -6 and f(c1) = 2.375 have opposite signs, the root lies in the interval [a1, c1].

Iteration 2:

Interval [a2, b2] = [1, 2.5]

Midpoint c2 = (a2 + b2) / 2 = (1 + 2.5) / 2 = 1.75

Evaluate f(c2) = f(1.75) = 1.75^3 - 5(1.75)^2 + 17(1.75) + 21 = -1.2656

Since f(a2) = -6 and f(c2) = -1.2656 have opposite signs, the root lies in the interval [c2, b2].

Iteration 3:

Interval [a3, b3] = [1.75, 2.5]

Midpoint c3 = (a3 + b3) / 2 = (1.75 + 2.5) / 2 = 2.125

Evaluate f(c3) = f(2.125) = 2.125^3 - 5(2.125)^2 + 17(2.125) + 21 = 0.2051

Since f(a3) = -1.2656 and f(c3) = 0.2051 have opposite signs, the root lies in the interval [a3, c3].

Iteration 4:

Interval [a4, b4] = [1.75, 2.125]

Midpoint c4 = (a4 + b4) / 2 = (1.75 + 2.125) / 2 = 1.9375

Evaluate f(c4) = f(1.9375) = 1.9375^3 - 5(1.9375)^2 + 17(1.9375) + 21 = -0.5356

Since f(a4) = -1.2656 and f(c4) = -0.5356 have opposite signs, the root lies in the interval [c4, b4].

Iteration 5:

Interval [a5, b5] = [1.9375, 2.125]

Midpoint c5 = (a5 + b5) / 2 = (1.9375 + 2.125) / 2 = 2.03125

Evaluate f(c5) = f(2.03125) = 2.03125^3 - 5(2.03125)^2 + 17(2.03125) + 21 = -0.1677

Since f(a5) = -0.5356 and f(c5) = -0.1677 have opposite signs, the root lies in the interval [c5, b5].

The maximum error made in the Bisection method can be estimated as half of the width of the final interval [c5, b5]:

Maximum error = (b5 - c5) / 2

Therefore, for the function f(x) = x^3 - 5x^2 + 17x + 21, using five iterations, the maximum error made is (2.125 - 2.03125) / 2 = 0.046875.

b) To find the roots of the function f(x) = 2x - cos(x), you can apply the Bisection method in a similar way, starting with an appropriate interval where f(a) and f(b) have opposite signs.

However, the Bisection method is not guaranteed to converge for all functions, especially when there are rapid oscillations or irregular behavior, as in the case of the cosine function.

In this case, it may be more appropriate to use other root-finding methods like Newton's method or the Secant method.

c) Similarly, for the function f(x) = x^2 - 5x + 6, you can use the Bisection method by selecting an interval where f(a) and f(b) have opposite signs. Apply the method iteratively to find the root and estimate the maximum error as explained in part a).

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The fraction of water Libby drinks is 1 6/8 more liters of water than Jack.

In mathematics, a fraction is represented by a numerical value that designates a portion of an entire. A fraction is a piece or section of a whole, where the whole can be any number, a particular value, or an object. Let's use an example to better comprehend this idea. A pizza cut into 8 equal pieces is depicted in the following diagram. Now, to describe a single portion of the pizza, we may use the notation 1/8, which indicates that, out of 8 equally sized portions, we are speaking of one portion.

Given that, Libby drinks 2 7/8 liters of water.

Coverting the mixed fraction into improper fraction:

2 7/8 = 2(8) + 7/ 8 = 23/8

Jack drinks 1 1/8 liters of water.

Coverting the mixed fraction into improper fraction:

1 1/8 = 8 + 1/8 = 9/8

The difference between is:

D = 23/8 - 9/8 = 14/8

14/8 = 1 6/8

Hence, Libby drinks 1 6/8 more liters of water than Jack.

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Consecutive whole numbers are a sequence of integers that follow each other in order, with a difference of 1 between each number. For example, 1, 2, 3, 4, and 5 are five consecutive whole numbers.

To find the consecutive whole numbers that 37 lies between, we can divide 37 by 2 and round down to the nearest whole number. This gives us 18.5, which means that 37 is closer to the number 38 than it is to the number 36. Therefore, the two consecutive whole numbers that 37 lies between are 36 and 38.

We can visualize this on a number line by placing the number 37 between 36 and 38. To do this, we can use our mouse to drag the number 37 to an approximately correct location on the number line. This helps us see that 37 is closer to 38 than it is to 36, which confirms our answer that 37 lies between the consecutive whole numbers 36 and 38.

In summary, to find the two consecutive whole numbers that 37 lies between, we divide 37 by 2 and round down to get 18.5. This tells us that 37 is closer to 38 than it is to 36, so the two consecutive whole numbers that 37 lies between are 36 and 38. We can confirm this by visualizing it on a number line.

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Step-by-step explanation:

2.

(13y)° and (8x+y)° are supplementary angles on a straight line therefore:

13y+8x+y=180°

14y+8x=180°——equation 1

Again,

(13y)° and (20x+3y)° are corresponding angles therefore are equal so:

13y=20x+3y

13y-3y-20x=0

10y-20x=0——equation 2

Now we find the value of x and y using the system of equations

Thus,we solve :

14y+8x=180°

10y-20x=0

Solving them,x=5 and y=10

3.We use the same approach for this

3(x+y)° and 5x are corresponding angles and are equal therefore:

3x+3y=5x

3x-5x+3y=0

-2x+3y=0——equation 1

Again,(5x)° and (4x-9)° are supplementary angles on a straight line so:

5x+4x-9=180

9x-9=180°

9x=180+9

9x=189°

x=21

Plug in the value of x into equation 1 for y

-2x+3y=0

-2(21)+3y=0

-42+3y=0

3y=42

y=42/3=14

So x is 21 and y is 14

Answer:

θ = 30°

Angle of elevation is 30°

Step-by-step explanation:

Given;

Height of wall w = 10 ft

Length of ramp l = 20 ft

Angle of elevation = θ

Applying trigonometry;

Sinθ = opposite/hypothenuse

Where;

Height of wall w = opposite (it's opposite the angle of elevation)

Length of ramp l = hypothenuse

Sinθ = w/l

θ = arcsine (w/l)

Substituting the values;

θ = arcsine (10/20)

θ = arcsine (0.5)

θ = 30°

Angle of elevation is 30°

Answer:

1/6

Step-by-step explanation:

Rational numbers between two rational numbers:

LCD of 2 and 3 = 6

\(\sf \dfrac{-1}{3}=\dfrac{-1*2}{3*2}=\dfrac{-2}{6}\\\\\dfrac{1}{2}=\dfrac{1*3}{2*3}=\dfrac{3}{6}\)

\(\sf Rational \ number \ between \ \dfrac{-2}{6} \ and \ \dfrac{3}{6} \ is \ \bf \dfrac{1}{6}\)

Yes her plan to construct a square inscribed in a circle is her plan correct.

Let's check if her plan is correct:

In order to construct a square inscribed in a circle,

the following steps should be followed

STEP 1:Draw a circle and its centre, O.

STEP 2:Draw a diameter PQ through the centre of the circle.

STEP 3:Mark the midpoint R of PQ.

STEP 4:Draw a perpendicular bisector of PQ, it should pass through R

STEP 5:It cuts PQ at right angles at R. Label the point where the perpendicular bisector cuts PQ as T.

STEP 6:Connect OT and RT to intersect the circle at points S and U respectively.

Now we have a square INSIDE the circle, where O is the center, and the square's diagonal is the circle's diameter, while the square's sides are the circle's radii.

So, Molly's plan is correct.

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\(250 ft\: \: the \: nearest \: tenth.\)

Step-by-step explanation:

\(d \: = \sqrt{(270 - 90) {}^{2} + (270 - 90) {}^{2} } = \\ 254.55844123 = 250 \: to \: the \: \\ nearest \: tenth.\)

\(where \: the \: first \: base \: hieght \: is \: 90ft, \\ and \: third \: base \: hieght \: is \: 270(i.e \: 3 \times 90),\\

so \: by \: using \: the \: above \: pythagorean \\ \: equation, \: the \: shortest \: distance, d \: is \: 250ft\)

The indefinite integrals represent a family of functions, therefore, they cannot have a value at a specific point. If f(x) is an idenfinide integral, can then find the value of f(4) by plugging in 4 for x and solving for the constant of integration, C.

Indefinite integrals are functions that represent the family of all possible antiderivatives of a given function. Since they represent a family of functions, they do not have a specific value at a point like definite integrals do.

However, we can find the value of an indefinite integral at a specific point by adding a constant of integration, C, to the indefinite integral and then plugging in the specific value for x. For example, if f(x) is an indefinite integral, then f(x) + C is a specific antiderivative of f(x). We can then find the value of f(4) by plugging in 4 for x and solving for the constant of integration, C.

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Answer:

I think that is 0.3

Step-by-step explanation:

3×1=3

3÷10=0.3

Rusty would recognize a capital gain of $187 due to the partial liquidation of Nail Corporation.

To determine the amount and character of the income or gain recognized by Rusty due to the partial liquidation, we need to compare the distribution received to Rusty's stock basis and the fair market value of the shares.

In this case, Nail Corporation distributed $555,440 to Rusty in exchange for 50% of his stock in the company. The fair market value of the shares at the time of the distribution was $212 per share, and Rusty's tax basis in the shares was $50 per share.

First, we calculate the total tax basis in the shares Rusty exchanged:

Tax basis = Number of shares exchanged * Tax basis per share

Tax basis = 50% * Tax basis per share

Tax basis = 50% * $50 = $25

Next, we calculate the gain on the exchange by subtracting the tax basis from the fair market value of the shares:

Gain on exchange = Fair market value of shares - Tax basis

Gain on exchange = $212 - $25 = $187

Since the distribution was made in exchange for Rusty's stock, the gain of $187 recognized by Rusty in the partial liquidation is treated as a capital gain.

Therefore, Rusty would recognize a capital gain of $187 due to the partial liquidation of Nail Corporation.

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The formula for the nth term of this arithmetic sequence having a first term of -17 and a common difference of 5 is aₙ = 5n - 22.

The formula for the nth term of an arithmetic sequence is:

aₙ = a₁ + (n - 1)d

where:

aₙ is the nth term of the sequence

a₁ is the first term of the sequence

d is the common difference

Plugging in the given values, we get:

aₙ = -17 + (n - 1)5

Simplifying this expression gives:

aₙ = -17 + 5n - 5

aₙ = 5n - 22

Therefore, the formula for the nth term of this arithmetic sequence is:

aₙ = 5n - 22

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