One fourth of a number is added to one fifth of the same number. If the result is 18, find the number

Answer:

40 - f

Step-by-step explanation:

Total pounds of food bought= 40 pounds

Total pounds of food eaten by the dog = f pounds

Total pounds of dog food left = Total pounds of food bought - Total pounds of food eaten by the dog

= 40 - f

Expression that can be used to find the amount of dog food that is left = 40 - f

The first step is to Prepare. Heidi wants to make a 30 pounds of molasses solution. She mixes and solution together. How much mixture does she make?

The absolute maximum value of g(x) over the interval [-1, 5] is -3/4.

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Since it's practical, the variance is expressed as a squared value. The variance serves as a stop along the road to the standard deviation. To compute it, we first find the mean of a distance data distribution, calculate the distance between each data point and the mean, and then use positive for points that are to the right of the mean and negative for points that are to the left of the mean.

We should then have an estimate of the distance from the mean, or "spread," by adding them all together and dividing by the total number of distance data values. The problem is that if we sum up a large number of distance data points to the right and left that are all carrying their respective signs, we always receive zero.

In order to remove the negative signs, we square each number before adding them together, which is a good mathematical technique. It would seem like an easier method to just use the absolute values, however that is not the case. Actually, squaring the data yields a more accurate and helpful result.

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Answer: $13.65 per ticket

Step-by-step explanation:

54.6/4

Answer:

69 degrees

Step-by-step explanation:

1) Find x

The angles measured x degrees and (x-28) degrees have a sum of 180 degrees because straight lines always have a measure of 180 degrees. Knowing this, construct the equation:

\(x+x-28=180\\2x-28=180\)

Add 28 to both sides

\(2x-28+28=180+28\\2x=208\)

Divide both sides by 2

\(\frac{2x}{2}= \frac{208}{2} \\x= 104\)

Therefore, x is equal to 104 degrees.

2) Find the measure of the (x-28) degree angle

Plug x into x-28

\(x-28\\= 104-28\\= 76\)

Therefore, the measure of this angle is 76 degrees.

3) Find y

All the interior angles in any triangle will add up to 180 degrees. Knowing this, we can construct another equation:

\((2y-1)+76+y= 180\)

Open up the parentheses

\(2y-1+76+y= 180\\3y+75= 180\)

Subtract both sides by 75

\(3y+75-75=180-75\\3y=105\)

Divide both sides by 3

\(\frac{3y}{3}= \frac{105}{3} \\y=35\)

Therefore, y is equal to 35 degrees.

4) Find the measure of the (2y-1) degree angle

Plug y into 2y-1

\(2y-1\\= 2(35)=1\\= 70-1\\= 69\)

Therefore, y is equal to 69 degrees.

I hope this helps!

Approximate percent increase in how much the student pays with Optin 2 versus Option is 20%

$540 plus 15% sales tax now.=$515

Pay exactly $120 now and then $58 each month for 9 months=$642

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The actors should be positioned in the original coordinate system at locations A(-5, -4), B(-2, -7), and C(1, -4).

If they move 5 units left and 4 units down from each of the original points, then the following becomes the new coordinates:

A: (-5, -4)

B: (-2, -7)

C: (1, -4)

To graph these new coordinates, draw the new coordinate plane and plot the points:

So for Scene 2, the actors should be positioned at points A(-5, -4), B(-2, -7), and C(1, -4) with respect to the original coordinate system.

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Answer:

x=3

Step-by-step explanation:

Vertical angles are equal so

<A = <B

7x+2 = 4x+11

Subtract 4x from each side

7x+2-4x = 4x+11-4x

3x+2 =11

Subtract 2 from each side

3x+2-2 = 11-2

3x = 9

Divide by 3

3x/3 = 9/3

x=3

Answer:

-33

Step-by-step explanation:

-11 + -11 + -11 = -33

-11 x 3 = -33

Hope this helps you :)

Hey there!

\(-11+-11+-11\)

If you want to solve, multiply -11 by 3 because it is being multiplied 3 times.

\(-11*3=-33\\-33(ANSWER)\)

Hope this helps!

\(\text {-TestedHyperr}\)

This website is helpful hope this helped

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The probability of rolling a red or blue on the fair cube is P = 2/3 = 0.67

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability of rolling a red or blue on the fair cube is P

Now , there are a total of 6 sides on the fair cube, with 2 red sides, 2 blue sides, and 2 green sides.

The probability of rolling a red or blue side can be found by dividing the number of red or blue sides by the total number of sides.

The number of red or blue sides is 2 + 2 = 4, since there are 2 red sides and 2 blue sides.

The total number of sides is 6.

Therefore, the probability of rolling a red or blue side is:

P(red or blue) = (number of red or blue sides) / (total number of sides) = 4/6 = 2/3

So the probability of rolling a red or blue side on the fair cube is 2/3 or approximately 0.67

Hence , the probability is 2/3

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The probability that 3 individuals have conditions caused by outside factors is 0.1496

The proportion of heart failures due to outside factors, p = 11% = 0.11

Sample size, n = 15

The formula for binomial distribution is:

                    P(x) = ⁿCₓ pˣ (1 - p)ⁿ⁻ˣ

Here, x = Number of heart failures.

We are asked to determine the probability that 3 individuals have conditions caused by outside factors

So, here x = 3

                    P(3) = ¹⁵C₃ p³ (1 - p)¹⁵⁻³

                    P(3) = ¹⁵C₃ (0.11)³ (1 - 0.11)¹²

                    P(3) = ¹⁵C₃ (0.11)³ (0.89)¹²

                    P(3) = 455 (0.11)³ (0.89)¹²

                    P(3) = 0.1496

Hence, the probability that 3 individuals have conditions caused by outside factors is 0.1496

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The speed of the particle when it is moving parallel to the y-axis is approximately 17.88 m/s.

When the particle moves parallel to the y-axis, its velocity component in the x-direction is zero. Therefore, we need to find the value of t for which the x-component of the velocity becomes zero.

Given that the x-component of the velocity is (2t - 8), we set it equal to zero and solve for t:

2t - 8 = 0

2t = 8

t = 4

At t = 4 seconds, the particle is moving parallel to the y-axis. To determine the speed of the particle at this instant, we calculate the magnitude of its velocity:

v = √[(2t - 8)^2 + ((2/t^2) - 18)^2]

v = √[(2(4) - 8)^2 + ((2/(4^2)) - 18)^2]

v = √[0^2 + ((2/16) - 18)^2]

v = √[0 + (-17.875)^2]

v ≈ 17.88 m/s

Therefore, the speed of the particle when it is moving parallel to the y-axis is approximately 17.88 m/s.

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Chebyshev's Theorem states that for any distribution, regardless of whether it is skewed or not, the proportion of the observations that fall within k standard deviations of the mean is at least 1 - (1/k²), where k is any positive number greater than one.

So, if we want to find the percentage of observations that fall within k=3.2 standard deviations of the mean, we can use k=3.2 as our value of k. Applying Chebyshev's Theorem, we can say that at least 1 - (1/3.2²) = 0.847 is the proportion of observations that fall within 3.2 standard deviations of the mean. This means that at least approximately 84.7% of their eyeball sizes are within 3.2 standard deviations of the mean.Since this is the minimum percentage, we know that the actual percentage is likely higher, but we cannot say for sure without knowing the exact shape of the distribution. Therefore, we can conclude that at least approximately 84.7% of the animal eyeball sizes are within 3.2 standard deviations of the mean.

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The shape of the distribution of the number of siblings can vary depending on the specific data set.

However, if we are considering the general case, the most common shape of the distribution is likely to be unimodal and skewed to the right.

This means that the majority of individuals are likely to have fewer siblings,

and as the number of siblings increases,

the frequency of individuals with that number decreases.

The distribution may also have a long tail on the right side,

indicating a few individuals with a significantly larger number of siblings.

However, it is important to note that this is just a general observation, and in specific cases,

the distribution may be different.

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Answer:

I did this quickly and don't have the time to check.  Please review carefully.

Length of the side of a square base to provide a volume of 4000 in^3 with the minimum material to construct the entire box. is 6 in.  The dimensions for this box would be (6 in) by (6 in) by 111.1 in.

Step-by-step explanation:

The volume of a square box is given by

Volume(V) = L*W*H,

where L is length, W is width, and H is height.

Since the base is square, W = L, so we can rewrite the volume equation as:

V = L*W*H

V = L*L*H

Volume = L^2H

The area of the box surface is the sum of all the sides:

Top and Bottom:    2*(L*W), or 2 (W^2)

2 Sides:                  2*(W*H), or 2(W^2)

2 other sides:        2*(L*H)  

The total surface area is

  Area = 2*(L*W) + 2*(W*H) +  2*(L*H)

Since W=L, we can rewrite this equation as:

  Area = 2*(L*L) + 2*(L*H) +  2*(L*H)

Total Surface Area = 2L^2 + 4LH

The target volume is 4000 in^3

We know that Volume = L^2H from above.

4000 in^3 = L^2H

we can rewrite this as:

H = 4000/L^2

Substitute this value of H into Total Surface Area = 2L^2 + 4LH

Total Surface Area = 2L^2 + 4L(4000/L^2)

Total Surface Area = 2L^2 + (1000/L)

We want to minimize total surface are, so we can either plot this function and look for the minimum, or we can take the first derivative and set it equal to zero (the first derivative tells us the slope of the line at any point.  We want the point where the slope is zero, where it changes direction).  I will plot the function.

Plot: See attached graph.

I set the above equation to the format:  y = 2x^2 + (1000/x), where y is the total surface area and x is the box length.

I see a minimum at (6.2,230).  This corresponds to a box length of 6.2 in and a surface area of 230 in^2.

For a non-constant member function of class test, the this pointer has type D. const Test * const. The this pointer is a special pointer in C++ that points to the object whose member function is being executed.

It is a hidden parameter that is passed to all non-static member functions. The type of the this pointer depends on the const-ness of the member function and the const-ness of the object on which the member function is being called.
In this case, the member function is non-constant, which means it can modify the object on which it is being called. Therefore, the this pointer is a pointer to a constant object of type Test. This is because the object on which the member function is being called is being treated as constant inside the member function, even though it may not actually be constant.
The const keyword before Test indicates that the object pointed to by the this pointer is constant, and the const keyword after Test indicates that the this pointer itself is constant and cannot be modified. Therefore, the correct answer is D. const Test * const.
In summary, the type of the this pointer for a non-constant member function of class test is a pointer to a constant object of type Test, which is itself a constant pointer that cannot be modified.

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Answer: 75.2

Step-by-step explanation:

Well, if it isn't the most confusing question ever.

First of all, what is P?

I'll assume its the perimeter...

2*(1.2*2)+4*(8.8*2)

Or

2*2.4+4*17.6

75.2

Answer:

Step-by-step explanation:

x / 12 = 3 / 8

x = 3 / 8 x 12

x = 3 / 94

x = 32

32 / 12 = 3 / 8

The length of segment  DE in the given diagonals of the parallelogram is 16.

The length of segment  DE is calculated by applying properties of diagonals of a parallelogram.

The point where the diagonals of a parallelogram intersect divides each diagonal into two equal halves.

Based on this fact, we can set up the following equation and solve for length DE as follows;

BE = AE

x² - 48 = 16

x² = 16 + 48

x² = 64

x = √64

x = 8

The length of segment DE is calculated as follows;

DE = 2x

DE = 2 x 8

DE = 16

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Micah's best long jump is 3 meters long.

In this question we have been given Avi and Micah are teammates on a track and field team.

We need to find the how long is Micah's best long jump.

Let Micah's best long jump is x meters and Avi's  best long jump is y meters.

Avi's best long jump is 3 1/2 meters.

⇒ y = 3 1/2 meters

We write this improper fraction as proper fraction.

3 1/2 = 7/2

Also, Avi's best long jump is 1 1/6 times as long as Micah's.

So, we get an equation

y = (1 1/6) * x

We write improper fraction 1 1/6 as 7/6

So equation becomes,

y = 7/6 * x

Subatitute the value of y

7/2 = 7/6  * x

x = (7/2)/(7/6)

x = 6/2

x = 3 meters

Therefore, Micah's jump is 3 meters long.

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We can use a table that only has 2 rows to solve a problem about a proportional relationship by comparing the variables and looking out for the constant.

What is a proportional relationship?

Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportional relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant.

According to the given question:

If every pair of data values is related in the same way, by multiplying by a factor, then the relationship is proportional. A proportional relationship can be identified by looking at data, an equation, or a graph.

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Answer:

m = 2

Step-by-step explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

We see the y increase by 4 and the x increase by 2, so the slope is

m = 4/2 = 2

So, m = 2

Since L/K is not separable, it is a non-separable extension of K. Therefore, for every prime number p, the extension L/K where L is the splitting field of x^p - a for some a in K is an example of a non-separable extension of a suitable field of characteristic p.

To give an example of a non-separable extension of a suitable field of characteristic p for every prime number p, we need to first understand what a separable extension is. A separable extension of a field K is an extension L/K such that every element of L is a root of a separable polynomial over K. In other words, if an irreducible polynomial over K has multiple roots in L, then the extension L/K is not separable.

Now, let's consider the case of a field of characteristic p. If K is a field of characteristic p, then every element of K satisfies the equation x^p = x. This is known as the Frobenius map, and it has the property that it is an automorphism of K.

So, if we consider the extension L/K where L is the splitting field of the polynomial x^p - a for some a in K, then L/K is not separable. This is because the polynomial x^p - a has p roots in L, namely {a^(1/p), a^(1/p) * ζ, a^(1/p) * ζ^2, ..., a^(1/p) * ζ^(p-1)}, where ζ is a primitive p-th root of unity.

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Answer:

D. The speed of light

Step-by-step explanation:

The speed of light is extremely fast at 299,792,458 m / s. This would be better to look at in scientific notation:

3.00 x 108 m/s.

Answer:

both have equal.............

Answer:

y = 1/4x - 1/2

Step-by-step explanation:

-4y = -x + 2 : Divide both sides by -4

y = 1/4x - 2/4 : Reduce to lowest terms

y = 1/4x - 1/2

Answer:

Step-by-step explanation:

Step 1:

Calculate the Y-intercept:

Calculate the X-intercept:

Calculate the slope:

Solutions: