4⁄6 + 2⁄4 + 3⁄5 = answer

Answer:  see attachment

Step-by-step explanation:

In the theater, that have 1,464 seats.

1426 seats are in "regular" sections

38 seats are  "premium" front-row section

The seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient

The division is as follows

1464 / 62

= 23 19/31

The number of seats in the regular section is 23 * 62 = 1426

The remainder will be arranged in premium front row

using equivalent fractions

19 / 31 = 38 / 62

the remainder is 38 and this is the seat for the premium front row section

OR 1464 - 1426 = 38 seats

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The relationship between segments AB and CD is that they are perpendicular because they have slopes that are opposite reciprocals of -5 and 1/5.

Option B is the correct answer.

We have,

For segment AB, the equation of the line is y - 4 = -5(x - 1).

By rearranging this equation to the slope-intercept form (y = mx + b),

we get:

y = -5x + 5 + 4

y = -5x + 9

Comparing this with the general equation, we can see that the slope of segment AB is -5.

For segment CD, the equation of the line is y - 4 = 1/5(x - 5).

Again, rearranging to the slope-intercept form, we get:

y = 1/5 x + 1/5 * 5 + 4

y = 1/5 x + 1 + 4

y = 1/5 x + 5

Comparing this with the general equation, we can see that the slope of segment CD is 1/5.

Now,

The slopes are -5 and 1/5, respectively.

They are perpendicular because they have slopes that are opposite reciprocals of -5 and 1/5.

Therefore,

The relationship between segments AB and CD is that they are perpendicular because they have slopes that are opposite reciprocals of -5 and 1/5.

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The complete question.

Segment AB is on the line y − 4 = −5 (x − 1), and segment CD is on the line y − 4 = 1/5 (x − 5).

Which statement proves the relationship between segments AB and CD?

They are perpendicular because they have slopes that are opposite reciprocals of 5 and −1/5

​They are perpendicular because they have slopes that are opposite reciprocals of -5 and 1/5.

​They are parallel because they have the same slope of 5.

They are parallel because they have the same slope of −1/5.

Step-by-step explanation:

4) lower, greater

5) The precision of the instrument would be 0.1 cm

Answer:

X = 64

Y = 18

Z = 98

Step-by-step explanation:

Angles on a straight line always add up to 180 Degrees

Vertical Opposite Angles are equal to each other

X = 64

Y = 18

Z = 180 - 64 - 18 = 98

Answer:

n = ⅜

Step-by-step explanation:

Answer: n = 1/6

Step-by-step explanation:

2/3n + 1/2 = 3/4

-1/2                -1/2

2/3n = 1/4

multiply both sides by 2/3

n = 1/4 *2/3

n = 2/12

reduce

n = 1/6

Answer:

25%

Step-by-step explanation:

(1/4)x100=0.25x100=25, The tax is 25%

The domain of the function is defined as 0 ≤  x ≤ 4.

option A is the correct answer.

A domain of a function refers to "all the values" that can go into a function without resulting in undefined values.

So the domain of a function is the set of x values, while the range of a function is the set of y values.

From the given statement, the range of the function is defined as;

y = vt

where;

y = 60 mph x 4 hr

y = 240 miles

From the given statement, the domain of the function is defined as;

0 ≤  x ≤ 4

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In this case the answer is very simple.

We must locate the value of the square root on the number line.

Therefore, analyzing the line, the closest value corresponds to the point d.

Answer:

360 more pencils.

45x18=810 large pencils

25x18=450 small pencils

810-450+360

Step-by-step explanation:

       </3 PureBeauty

Answer:

360

Step-by-step explanation:

So we do 45*18 for the large boxes which is 810 and 25*18 for the small boxes which is 450 so now we subtract 450 from 810 which is 360!

To find a plane containing the point (-5, 6, -6) and the line defined by parametric equations x(t) = 7 - 5t, y(t) = 3 - 6t, and z(t) = -6 - 6t, we can use the point-normal form of the equation of a plane.

The equation of a plane in point-normal form is given by Ax + By + Cz + D = 0, where (A, B, C) is the normal vector to the plane, and (x, y, z) are the coordinates of a point on the plane. We can determine the normal vector by taking the cross product of two direction vectors in the plane.

The direction vector of the line can be obtained by taking the coefficients of t in the parametric equations, which gives us (-5, -6, -6). We can choose any two non-parallel direction vectors in the plane, for example, (1, 0, 0) and (0, 1, 0). Taking the cross product of these two vectors, we get the normal vector (0, 0, -1).

Now, we can substitute the values of the point (-5, 6, -6) and the normal vector (0, 0, -1) into the point-normal form equation. This gives us 0*(-5) + 0*6 + (-1)*(-6) + D = 0, which simplifies to D = -6. Thus, the equation of the plane containing the point (-5, 6, -6) and the given line is 0*x + 0*y - z - 6 = 0, or simply -z - 6 = 0.

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The total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards.

Total distance if Pete walks from A to B to C:

= 15 + 25 = 40 yards

As we know in the triangle the sum of the two sides is greater than the third side.

25 + 15 > AC

40 > AC

or

AC < 40

The direct distance from A to C is more than 10(25-15) yards.

The inequality w < 30 represents the distance, w, that Pete might save by taking the direct path.

Thus, the total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30

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The complete question is :

Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C?How far would Pete walk if he went from A to B to C ........... yards

The direct distance from A to C is more than yards.

The inequality w < represents the distance, w, that Pete might save by taking the direct path.

The probability that exactly 17 people out of 100 will have a tree allergy if the prevalence of the allergy in the general population is 0.17 is 0.1056.

The probability of a single person having the allergy is 0.17. The probability of 17 people out of 100 having the allergy can be calculated using the binomial distribution. The binomial distribution is a probability distribution that describes the number of successes in a fixed number of trials, where each trial has a known probability of success.

In this case, the number of trials is 100 and the probability of success is 0.17. The probability of exactly 17 successes is given by the following formula:

P(X=k) = n! / (k!(n-k)!) * p^k * (1-p)^(n-k)

where:

* X is the number of successes

* n is the number of trials

* k is the number of successes we want to calculate the probability of

* p is the probability of success

* (n!) is the factorial of n

* (k!) is the factorial of k

* (n-k)! is the factorial of n-k

Plugging in the values for n, k, and p, we get the following probability:

P(X=17) = 100! / (17!(100-17)!) * 0.17^17 * (1-0.17)^(100-17)

≈ 0.1056

This means that there is a 10.56% chance that exactly 17 people out of 100 will have a tree allergy if the prevalence of the allergy in the general population is 0.17.

It is important to note that this is just a probability. It is possible that more or fewer than 17 people will have the allergy, but the probability of this happening is very low.

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The probability that exactly 17 people out of 100 will have a tree allergy if the prevalence of the allergy in the general population is 0.17 is 0.1056.

The probability of a single person having the allergy is 0.17. The probability of 17 people out of 100 having the allergy can be calculated using the binomial distribution. The binomial distribution is a probability distribution that describes the number of successes in a fixed number of trials, where each trial has a known probability of success.

In this case, the number of trials is 100 and the probability of success is 0.17. The probability of exactly 17 successes is given by the following formula:

P(X=k) = n! / (k!(n-k)!) * p^k * (1-p)^(n-k)

where:

* X is the number of successes

* n is the number of trials

* k is the number of successes we want to calculate the probability of

* p is the probability of success

* (n!) is the factorial of n

* (k!) is the factorial of k

* (n-k)! is the factorial of n-k

Plugging in the values for n, k, and p, we get the following probability:

P(X=17) = 100! / (17!(100-17)!) * 0.17^17 * (1-0.17)^(100-17)

≈ 0.1056

This means that there is a 10.56% chance that exactly 17 people out of 100 will have a tree allergy if the prevalence of the allergy in the general population is 0.17.

This means that there is a 10.56% chance that exactly 17 people out of 100 will have a tree allergy if the prevalence of the allergy in the general population is 0.17.

It is important to note that this is just a probability. It is possible that more or fewer than 17 people will have the allergy, but the probability of this happening is very low.

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The shapes from the cross section are square, parallelogram, trapezium, kite, triangle and rectangle.

It is important to note that the cross section of a cube is a square.

From the cross section visible from the figure, we have the shapes;

Thus, the shapes from the cross section are square, parallelogram, trapezium, kite, triangle and rectangle.

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Answer:

40 apples

Step-by-step explanation:

If 2 apples is 1/5 of a gram of fat, then 5*2 (or 10) apples will have a total of 1 gram of fat. Therefore, 4*5*2 (or 40) apples will have a total of 4 grams of fat.

Sorry I didn't get to you guys in time. Hopefully this answer helps students in the future.

Answer: Multiplying both sides of the original equation by 100 gives the same

the solution as follows;

100 × (2.3·p - 10.1) = 100 × (6.5·p - 4 - 0.01·p)

230·p - 1010 = 650·p - 400 - p

Step-by-step explanation:

To check the if a table represents a linear function we have to find the rate of change between the first two ordered pairs can be compared to the rate of change between the first and last ordered pairs to see if they are the same.

Well, a straight line is proportional to a linear function (on a graph). And the answers to the numbers can't be the same. If the X input is 5, for instance, and the Y output is 7, then Another non-linear X input of 5 and Y output of 8 follows.

The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

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Answer:

Step-by-step explanation: 123 but the answer could be infinite

Answer:

Step-by-step explanation: Could be infinite

The probability that a student participates in clubs, the student is a girl, is approximately 0.588.

Let's define:

G:

The circumstance a pupil is a female.

C:

The activity in a student engages with clubs.

In the event G, 17 students are female, 11 students are club members, and 10 students are female and club members in the event G and C.

Calculate P(C|G), or the probability of event C provided that event G has occurred, to determine if a student joins clubs given that she is a girl.

Using the conditional probability formula, we have:

P(C and G) / P(G) = P(C|G)

P(C and G) = 10/32 because 10 students are both ladies and take part in clubs (events G and C).

Additionally, according to event G, there are 17 girls in the class.P(G) = 17/32.

The probability that a student participates in clubs, given that the student is a girl, is:P

(C|G) = (10/32) / (17/32)

= 10/17

≈ 0.588

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The domain of the function is positive integers. The function () = 200 + 16 represents the daily cost of production in a factory, where x is the number of complete products manufactured.

Since the production of products cannot be negative or fractional, the domain of the function is restricted to non-negative integers.

Therefore, the domain of the function is the set of positive integers:

{1, 2, 3, 4, ...}

Any value outside this set would not make sense in the context of the problem, as a fraction or a negative number of products cannot be produced.

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Answer:

600

Step-by-step explanation:

There are 1287 different ways to arrange five different oranges and 12 different apples so that no two oranges are next to each other.

For the data given in the question-

There are 12 identical apples and five distinct oranges.

Arrange them such that no two oranges are side by side.

The separator method, which uses the apples as separators, was used to solve this puzzle.

_1_1_1_1_1_1_1_1_1_1_1_1_

Due to the fact that there are currently 13 empty spots,

Number of ways = ¹³C₅

¹³C₅ = 1287 ways.

Thus, there are 1287 different ways to arrange five different oranges and 12 different apples so that no two oranges are next to each other.

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The general solution of the given higher-order differential equation is y(x) = A * e^(-x/2) * cos((x/√2)) + B * e^(-x/2) * sin((x/√2)).

To find the general solution of the given higher-order differential equation, first, let's rewrite the equation in a more standard form:
16y'''' + 16y'' + 4y = 0
Now, we'll solve this fourth-order linear homogeneous differential equation using the characteristic equation method.
1. Write the characteristic equation:
16r^4 + 16r^2 + 4 = 0
2. Divide the equation by 4 to simplify:
4r^4 + 4r^2 + 1 = 0
3. Apply a substitution: let t = r^2, then the equation becomes:
4t^2 + 4t + 1 = 0
4. Solve the quadratic equation for t using the quadratic formula:
t = (-B ± √(B^2 - 4AC)) / 2A
t = (-4 ± √(4^2 - 4(4)(1))) / (2 * 4)
t = (-4 ± √(16 - 16)) / 8
t = -4/8 = -1/2
5. Substitute back r^2 for t:
r^2 = -1/2
6. Solve for r:
r = ±√(-1/2)
r = ±(1/√2)i
7. Since the roots are complex conjugates, the general solution can be written as:
y(x) = A * e^(-x/2) * cos((x/√2)) + B * e^(-x/2) * sin((x/√2))
where A and B are arbitrary constants determined by the initial conditions of the problem.

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The most appropriate method for creating an estimate of the percent of district residents who support the building of a new middle school would be  v. A one-sample z-interval for a population proportion.

In this case, the superintendent wants to estimate the proportion (percentage) of district residents who support the building of a new middle school. To achieve this, a random sample of district residents can be selected, and the proportion of residents in the sample who support the new middle school can be calculated.

Since the sample size is relatively large (as it is a large school district), the sampling distribution can be assumed to follow a normal distribution. Therefore, a one-sample z-interval for a population proportion is suitable for estimating the proportion of district residents who support the new middle school.

Using this method, a confidence interval can be constructed around the sample proportion, providing an estimate of the true proportion of district residents who support the new middle school, along with a measure of uncertainty.

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Answer:

77 feet

Step-by-step explanation:

The probability of drawing a red card, placing it back in the deck, and drawing another red card is 1/4.

According to the given question.

Total number of cards in a deck is 52.

As we know that total number of red cards in a well shuffled deck is 26.

Since, Eric first draws a red card, places it back in the deck, shuffles the deck, and then draws another card. Which means there is a replacement of cards.

So, the probability of drawing the first card is red = 26/52 = 1/2

And the probability of drawing the another card is red = 26/52 = 1/2

Therefore,

The probability of drawing a red card, placing it back in the deck, and drawing another red card

= 1/2  × 1/2

= 1/4

Hence, the probability of drawing a red card, placing it back in the deck, and drawing another red card is 1/4.

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Answer:

\(< -0.902, 0.431 >\)

Step-by-step explanation:

The unit vector of any vector is the vector that has the same direction as the given vector, but simply with a magnitude of 1. Therefore, if we can find the magnitude of the vector at hand, and then multiply \(\frac{1}{||v||}\), where ||v|| is the magnitude of the vector, then we can find the unit vector.

Remember the magnitude of the vector is nothing but the pythagorean theorem essentially, so it would be \(\sqrt{(-6.9)^{2} +(3.3)^{2} } ,\) which will be \(\sqrt{58.5}\). Now let us multiply the vector by 1 over this value, and rationalize to make your math teacher happy.\(< -6.9, 3.3 > * \frac{1}{\sqrt{58.5}} = < \frac{-6.9\sqrt{58.5} }{58.5} , \frac{3.3\sqrt{58.5}}{58.5} >\)

You can put those values into your calculator to approximate and get

\(< -0.902, 0.431 >\)

You can always check the answer by finding the magnitude of this vector, and see that it is equal to 1.

Hope this helps

The correct formula for the revenue generated by the item is Revenue = 200p - 5p^2.

The revenue generated by the item can be calculated by multiplying the price (p) by the unit sales (200 - 5p). Therefore, the correct formula for the revenue generated by the item is:

Revenue = Price x Unit Sales
Revenue = p(200 - 5p)
Revenue = 200p - 5p^2

The revenue generated by the item is a quadratic function of the price (p). To find the maximum revenue, we need to differentiate the function with respect to p and set it equal to zero:

dRevenue/dp = 200 - 10p = 0
10p = 200
p = 20

Therefore, the maximum revenue is generated when the price of the item is $20. Substituting p = 20 in the revenue formula, we get:

Revenue = 200(20) - 5(20^2) = $2000

Hence, the correct formula for the revenue generated by the item is Revenue = 200p - 5p^2, and the maximum revenue is achieved when the price of the item is $20, generating a revenue of $2000.

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