Find the value of the expression below when x = 3/4 *
4x2 + 8x – 5

Answer:

Step-by-step explanation:

a) Let the side of the larger box be x, then the side of the smaller box is 0.3x.

Their volumes are:

The difference in volumes:

b) The sides are 20 in and 20*0.3 = 6 in

c) The other two boxes with sides x and 0.75x

Sum of the volumes:

Sides of the boxes are 12 in and 12*0.75 = 9 in

The translated triangle is A'B'C', and its vertices are (-3, -1), (-3, -5), and (-1.5, -5). (option b)

To translate the triangle two units to the left, we need to subtract 2 from the x-coordinates of each vertex, while leaving the y-coordinates unchanged. This is because moving the triangle left means we're decreasing its x-values.

So, let's apply this transformation to each point.

The first point, (-1, -1), becomes (-1 - 2, -1), which simplifies to (-3, -1).

The second point, (-1, -5), becomes (-1 - 2, -5), or (-3, -5).

The third point, (0.5, -5), becomes (0.5 - 2, -5), or (-1.5, -5).

These new coordinates give us the vertices of the triangle after it has been translated two units to the left.

Now that we have the new vertices, we can label them A', B', and C' to distinguish them from the original vertices. So, the translated triangle is A'B'C', and its vertices are (-3, -1), (-3, -5), and (-1.5, -5).

This is the second option in the answer choices given.

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Answer:

h>24

Step-by-step explanation:

multiply both sides by 3 to get ride of the denominator:

h>24

The definite integral that represents the area of the region enclosed by the polar curve r = 1 sin θ is ∫[a, b] 1/2 r^2 dθ

To determine the definite integral that represents the area of the region, we integrate the expression 1/2 r^2 with respect to θ over the interval [a, b], where a and b are the limits of the region.

In this case, the polar curve r = 1 sin θ represents a circle with radius 1 centered at the origin. As θ varies from 0 to π, the curve traces half of the circle in the positive direction. To find the area of the region enclosed by this curve, we integrate the expression 1/2 r^2 over this interval.

The expression 1/2 r^2 represents the area of a sector of the circle with radius r and central angle θ. Integrating this expression with respect to θ gives us the total area enclosed by the curve.

By evaluating the definite integral over the interval [a, b], we can find the area of the region enclosed by the polar curve r = 1 sin θ.

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Answer:

Ac_11 = -13

Ac_12 = 44

Ac_13 = 27

Step-by-step explanation:

Plato

The cofactors of each entry in the first row of the matrix are

Ac_11 = -13

Ac_12 = 44

Ac_13 = 27

We have to determine the cofactors of each entry in the first row of the matrix.

A set of numbers is arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix.

Therefore the cofactors of each entry in the first row of the matrix is

Ac_11 = -13

Ac_12 = 44

Ac_13 = 27

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The answer is option d. -1.865, as it is the value that satisfies P(Z ≤ b) = 0.0311. The other options (-1.87, -1.86, -1.8) do not correspond to the given cumulative probability.

In this scenario, P(Z ≤ b) represents the cumulative probability of a standard normal distribution up to the value of b. To find the corresponding value of b, we need to find the z-score that corresponds to a cumulative probability of 0.0311.

By looking up the z-table or using a statistical calculator, we can find that the z-score corresponding to a cumulative probability of 0.0311 is approximately -1.865.

Therefore, the answer is option d. -1.865, as it is the value that satisfies P(Z ≤ b) = 0.0311. The other options (-1.87, -1.86, -1.8) do not correspond to the given cumulative probability.

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Answer:

The answer is 325

Step-by-step explanation:

hope it helps<333

Answer: there were 6 chairs

Step-by-step explanation: 10x + 5 = 65

Answer:

(-00, 00)

Step-by-step explanation:

(-infinity, infinity)

Answer: D) 375

Step-by-step explanation:

    We will find 30% of 1,250 since 30% did not vote. A percent divided by 100 becomes a decimal.

30% / 100 = 0.3

1,250 * 0.3 = 375

      D) 375 students did not vote.

The bottom cutoff for receiving an A grade is 88.16.

A statistical concept known as the empirical rule, often called the 68-95-99.7 rule, asserts that for a normal distribution: Around 68% of the data falls within one standard deviation of the mean.

The data is within two standard deviations of the mean for around 95% of the time. The data is within three standard deviations of the mean for about 99.7% of the time.

To find the bottom cutoff we need to find 5% of the students that score higher.

Using the z-score for 5% distribution we have:

z = 1.645

Formula for converting a z-score to a raw score:

z = (x - μ) / σ

x = z * σ + μ

x = 1.645 * 8 + 75

x = 88.16

Hence, the bottom cutoff for receiving an A grade is 88.16.

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The partial fraction expansion of the given bilateral z-transform expression is to be found. It can be expressed as ???????? (z) = K1 z / (z - ???? ) + K2 z / (z - ???? ). The steps to determine the values of K1 and K2 will be explained.

To find the partial fraction expansion of the given expression, we first factorize the denominator as (z - ???? )(z - ???? ), where ???? and ???? are the roots of the denominator. In this case, the roots are 1/2 and -1/2.

Next, we express the expression as a sum of two fractions, with each fraction having a distinct root in the denominator. The partial fraction expansion can be written as:

???????? (z) = K1 z / (z - 1/2) + K2 z / (z + 1/2)

To determine the values of K1 and K2, we can multiply both sides of the equation by the common denominator (z - 1/2)(z + 1/2) and equate the numerators. This gives us:

z 2 (z 2 - 1/4) = K1 z(z + 1/2) + K2 z(z - 1/2)

Expanding and collecting like terms, we get:

z 2 (z 2 - 1/4) = (K1 + K2)z 2 + (K1/2 - K2/2)z

By comparing the coefficients of like powers of z on both sides, we can determine the values of K1 and K2. Equating the coefficients, we have:

K1 + K2 = 1

K1/2 - K2/2 = -1/4

Solving these equations simultaneously, we can find the values of K1 and K2, which will complete the partial fraction expansion.

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3. Answer:

x=3/2+1/2√21 or x=3/2+-1/2√21

Step-by-step explanation:

For this equation: a=1, b=-3, c=-3

1x2+−3x+−3=0

Step 1: Use quadratic formula with a=1, b=-3, c=-3.

x=−b±√b^2−4ac/2a

x=−(−3)±√(−3)^2−4(1)(−3)/2(1)

x=3±√21/2

x=3/2+1/2√21 or x=3/2+−1/2√21

Answer:

3: x= 3.7912874, x= 0.79128784

4: x= 0.62181997, x= -4.28848664

Step-by-step explanation:

It’s all solve for x what number actually makes the equation true.

The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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Answer:

( D ) , ( 0 , 0 )

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

In a group of 48 pupils, 9 play the flute only. 12 play the piano only. 14 play neither instrument. A student is selected at random. What is the probability the student plays both instruments?

P(F U P) = P(F) + P(P) - P(F n P)

Answer:

population: 2,900,904.279

Step-by-step explanation:

You need to calculate the total area first. The figure is made from 2 smaller figures.

Area for the top figure = 159 x (345 - 276) = 159 x 69 = 10971

Area for the bottom figure = 265 x 276 = 73140

Total are = 10971 + 73140 = 84111 mi^2

so you have 34.489 people/mi^2 =>

34.489 x 84111 = 2,900,904.279 people

Answer:

His total cost is $564.68

Step-by-step explanation:

333.75 + 134.87 + 67.89 = 536.51

536.51 x 0.0525 = 28.17

536.51 + 28.17 = 564.68

Answer:

its B simple

Step-by-step explanation:

right on edg 2021

Step-by-step explanation:

The events A and B are not mutually exclusive; not mutually exclusive (option b).

Explanation:

1st Part: Two events are mutually exclusive if they cannot occur at the same time. In contrast, events are not mutually exclusive if they can occur simultaneously.

2nd Part:

Event A consists of rolling a sum of 8 or rolling a sum that is an even number with a pair of six-sided dice. There are multiple outcomes that satisfy this event, such as (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2). Notice that (4, 4) is an outcome that satisfies both conditions, as it represents rolling a sum of 8 and rolling a sum that is an even number. Therefore, Event A allows for the possibility of outcomes that satisfy both conditions simultaneously.

Event B involves drawing a 3 or drawing an even card from a standard deck of 52 playing cards. There are multiple outcomes that satisfy this event as well. For example, drawing the 3 of hearts satisfies the first condition, while drawing any of the even-numbered cards (2, 4, 6, 8, 10, Jack, Queen, King) satisfies the second condition. It is possible to draw a card that satisfies both conditions, such as the 2 of hearts. Therefore, Event B also allows for the possibility of outcomes that satisfy both conditions simultaneously.

Since both Event A and Event B have outcomes that can satisfy both conditions simultaneously, they are not mutually exclusive. Additionally, since they both have outcomes that satisfy their respective conditions individually, they are also not mutually exclusive in that regard. Therefore, the correct answer is option b: not mutually exclusive; not mutually exclusive.

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Taking example (a) as a reference, the whole number which would make the inequality a true statement is; x > 4.

In example (a), the inequality given is; x + 3 > 7

To solve the inequality given above; we must subtract 3 from both sides of the inequality as follows;

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The steps that should be followed to create a copy of cab are listed below in the correct order. Mark a point X. Use a straightedge to draw a ray with endpoint X.

Place the compass point at X and draw an arc intersecting the ray. Mark the point Y at the intersection. Without changing the setting, place the compass point at Y and draw an arc. Label the point Z where the two arcs intersect.

Use a straightedge to draw XZ. Place the compass point at A. Draw an arc that intersects both rays of ZA. Label the points of intersection B and C. Place the compass point at C and open the compass to the distance between B and C. The above-mentioned steps should be followed in the given order to create a copy of cab.

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The process to create a replication of the cab includes marking a point x, drawing rays, drawing arcs with a compass, and repeating this process with several different points. The steps are done in a sequential, specific order.

To create a copy of the cab, the steps would be rearranged in this order:

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Answer: 30

Step-by-step explanation: So what you do is,

1) Add the 25 to the 8

2) Find the sum

3) Subtract 3 from the sum

4) Done!

I hope this helps!

Best,

Abigail H

8th Grade

Answer:

4.2 is: 1.) between 4 and 5 closer to 4

7/8 is: 3.) between 0 and 1 closer to 1

-9/5 is: 2.) between -1 and -2, closer to -2

Answer:

63 and 17 differ by 46

Answer:

25

Step-by-step explanation:

do 60 and multipy it by 5 then 5/12

and turn it into a proper fraction

Answer:

25

Step-by-step explanation:

60 × \(\frac{5}{12}\) = \(\frac{300}{12}\)= 25

Answer:56

Step-by-step explanation:

Answer:

12.9 cm

Step-by-step explanation:

area of full circle = 2 X 65.8 = 131.6cm².

131.6 = π r² = (3.14r²)

r² = 131.6/3.14 = 41.9108....

r = 6.47.

diameter = 2r = 12.94 = 12.9 cm to nearest tenth

The number of cases per batch that should be produced to minimize cost is: 300 units

The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.

The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.  

Thus:

Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)

Solving gives:

√((2 * 30 * 15000)/10)

= √90000

= 300 units

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Answer:

AB slope is 1/2

CD slope is 1/3

Since the slopes of the lines aren't the same, the lines aren't parallel.

Step-by-step explanation:

Answer:

\(648\sqrt{6}\)π

Step-by-step explanation:

\(\frac{4}{3}\)π(9√6)³

=\(\frac{4}{3}\)π81*6*√6

=(486*\(\frac{4}{3}\))√6π

=648√6π