What are composite numbers

Answer:

D. is the Answer

Step-by-step explanation:

Answer: x = 5 2/3 - 3 1/3

Step-by-step explanation:

From the question, we are informed that Shelly has a beaker which contains 5 2/3 fluid ounces of water and that she pours out 3 1/3 fluid ounces of water. The expression that an be used to find the number of fluid ounces of water which remain in the beaker goes thus:

Let's represent the remaining water in the beaker as x.

Since 3 1/3 fluid ounces of water has been poured our from 5 2/3 fluid ounces of water. The expression will be:

x = 5 2/3 - 3 1/3

Answer:

A

Step-by-step explanation:

It's A on edge

True. Marginal cost refers to the additional cost incurred by producing one more unit of output.

Since the production of one more unit requires the use of additional variable factors of production (such as labor or raw materials), marginal cost always reflects the cost of those variable factors. Fixed costs, on the other hand, do not change with changes in output and are not included in marginal cost calculations. Therefore, marginal cost only reflects the change in cost associated with variable factors of production.

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Answer:  6x+4x +13x+6 equal

True. The equation Ax = 0 gives an explicit description of its solution set.

When A is a matrix and x is a vector, the equation Ax = 0 represents a homogeneous system of linear equations. The solution set of this system consists of all vectors x that satisfy the equation and make the left-hand side equal to zero.

The explicit description of the solution set can be obtained by using techniques such as Gaussian elimination or matrix factorizations. These methods allow you to perform row operations on the augmented matrix [A | 0] to obtain the reduced row echelon form. The reduced row echelon form reveals the structure of the solution set by identifying pivot and free variables.

If there are no free variables (all columns of A are pivot columns), then the solution set consists of only the zero vector, x = 0. In this case, the solution set is a singleton set {0}.

If there are one or more free variables, you can express the solutions in terms of those variables. The free variables introduce parameters that allow for infinitely many solutions. The explicit description of the solution set will involve expressing the dependent variables (those corresponding to pivot columns) in terms of the free variables.

In summary, the equation Ax = 0 gives an explicit description of its solution set, either as the singleton set {0} or as a set of vectors expressed in terms of free variables.

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Answer:

x=5 y=3

Step-by-step explanation:

x+y=8 1

x-y=2 2

x+y=8

y=8-x

substitute into 2

x-(8-x)=2

x-8+x=2

2x=10

x=5

substitute x into 1

5+y=8

y=3

5+3=8

5-3=2

Answer:

= 15.866%

Step-by-step explanation:

The class average on a math test was 80.3 and the standard deviation was 5.7.

What percentage of the class scored above a 86?

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 86

μ is the population mean = 80.3

σ is the population standard deviation = 5.7

Hence:

z = 86 - 80.3/5.7

z = 1

Probability value from Z-Table:

P(x<86) = 0.84134

P(x>86) = 1 - P(x<86) = 0.15866

Converting to Percentage

= 0.15866 × 100

= 15.866%

Therefore, the percentage of the class scored above a 86 is 15.866%

b. 6¹⁰ / 7⁶

(6⁵/7³)²

6 × 6 × 6 × 6 × 6 = 7776

7 × 7 × 7 = 343

(7776/343)²

7776²/343²

7776 × 7776 = 60.466.176

343 × 343 = 117.649

6¹⁰/7⁶

6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 × 6 = 60.466.176

7 × 7 × 7 × 7 × 7 × 7 = 117.649

6¹⁰ = 7776²

7⁶ = 343²

= b. 6¹⁰ / 7⁶

The correct sequence of project phases is Definition - Planning  - Performance. The correct answer is B.

This is the typical order of project phases in a traditional project management approach. It starts with the definition phase, where the project's goals, the scope, and the requirements are established.

Then comes the planning phase, where the project plan is developed, including the allocation of resources, scheduling, and budgeting.

Finally, the performance phase begins, during which the project activities are executed, monitored, and controlled to ensure the successful project completion.

Therefore the sequence of project phase is  Definition - Planning  - Performance The correct answer is B.

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Answer:30 degrees

Step-by-step explanation:There are a couple of ways to do this.

This is the straightforward, “follow-your-nose” way. Find a point on each line. (Say, (1,2) on the line with slope 2 and (-1,1) on the line with slope -1. Then the angle in the triangle formed by the origin (0,0) and these other two point is the desired angle. One can find the cosine of angle in the triangle using the Law of Cosines, since the lengths of all of the sides can be found directly from the distance formula and the coordinates of the points. Finally, use arccosine to get from the cosine of the angle to the angle itself.

There is also a “slick” way, which relies on remembering the subtraction formula for tangents. tan(u-v) = [tan(u) - tan(v)] / [tan(u) + tan(v)]. Consider u as the angle between the positive x-axis and the line with slope -1, and v as the angle between the positive x-axis and the line with slope 2. Then the requested angle is u-v. We know tan(u) = -1 and tan(v) = 2, so substituting into the subtraction formula for tangents allows us to find tan(u-v). Finally, use arctangent of that value to find u-v.

Answer:

12 bracelets

Step-by-step explanation:

The estimated number of pets in the town is given as follows:

Between 4750 and 9250.

The estimated number of pets is obtained applying the proportions in the context of the problem.

The average number of pets per household is 2.8 with a margin of error of ±0.9, hence the bounds of the interval are given as follows:

Considering that there are 2500 households, the bounds of the total amounts are given as follows:

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The area οf οnly the frame is apprοximately 50.27 square inches.

The area οf a circle is the amοunt οf surface inside the bοundary οf a circle. It is a measure οf hοw much space the circle takes up in twο-dimensiοnal space. The fοrmula tο calculate the area οf a circle is:

\(A = \pi r^2\)

where A is the area οf the circle and r is the radius οf the circle.

The diameter οf the mirrοr with the frame is 17 inches, and the diameter οf οnly the mirrοr (withοut the frame) is 15 inches.

Therefοre, the width οf the frame is:

17 inches (diameter οf mirrοr with frame) - 15 inches (diameter οf οnly mirrοr) = 2 inches

Sο the radius οf the mirrοr withοut the frame is:

r₁= (15 inches / 2) = 7.5 inches

The area οf the mirrοr withοut the frame is:

A₁= π(7.5)² square inches ≈ 176.71 square inches

The radius οf the mirrοr with the frame is:

r₂= (17 inches / 2) = 8.5 inches

The area οf the mirrοr with the frame is:

A₂= π(8.5)² square inches ≈ 226.98 square inches

The area οf οnly the frame is the difference between these twο areas:

=A₂-A₁

=π(8.5)²- π(7.5)² square inches

≈ 50.27 square inches

Therefοre, the area οf οnly the frame is apprοximately 50.27 square inches.

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Answer:352 square inches

Step-by-step explanation:edge

Answer:

.78q = 58

q = 74.4 = 74 questions

Answer:

see image...

start with Graphing Form: y = a(x-h)²+ k

knowing that h is the x value (negative of it)  of the vertex , and k is the y value of the vertex

Graphing Form Equation: y =  a(x+3)²+32

you are also given that when the x value is 5 the y value has to be 0

0 = a(4)^2 + 32

a has to be - 1/2    

Step-by-step explanation:

Answer:

B 11,250

Step-by-step explanation:

Answer:

11,250

Step-by-step explanation:

Answer:

5x = 15

2x = 6

10x = 30

8x = 24

21x = 63

Step-by-step explanation:

The equations that can give you an answer of 3 are the following

\(3x=9\)

\(6x=18\)

\(11x=33\)

\(10x=30\)

\(7x=21\)

The equations above are one step linear equations

and many many more

Answer: 5.61333333 h

If the length between Garden city to dodge city is 84.2km the answer would be 5.61333333 hours [non-terminating decimal]

Step-by-step explanation:

So ummm, i dunno if the answer is right but yeahh

1h = 15 miles

Distance between GC AND DC = 84.2

84.2 * 15 = 5.6133333

Answer:

22 is A

23 is A

24 is C

25 is B

Step-by-step explanation:

for #22, the equation is 108n = [(n - 2) × 180 degrees]. making that 108n = 180n - 360, then move the 180n to the other side to make 108n - 180n = 360. making that 72n = 360. That makes n = 5.

For #23, the equation would be (n - 2) × 180, n = 7, 7-2 = 5 and then 5 × 180 = 900 degrees.

For #24 the equation is 360/n, n = 5, meaning 360/5 would equal 72 degrees.

For #25, the equation would be 360/n, n = 22.5, meaning 360/22.5 would equal to 16 sides for each exterior angle.

Answer:

33

Step-by-step explanation:

I believe that the question is asking this

4q+25 and not 4(q+25)

so 4(2)=8+25 is 33

So 4 times a number q means 4*q and when q is 2 you will get 8 and when you add that to 25 you get 33

Answer:

Subtraction

Step-by-step explanation:

In general, there are two things you can do with savings:

withdraw or deposit.

Withdraw essentially means to take out money and deposit is converse.

These two processes can be associated with the mathematical operations subtraction and addition respectively.

At t = 0.4, the velocity of the particle is zero. This indicates that the particle is momentarily at rest at this time.

To determine whether there is a time interval during which the particle is not moving, we need to examine the velocity of the particle. The velocity of the particle is the derivative of its position with respect to time.

The given position function is y = 0.20 + 8.0t - 10t^2.

To find the velocity function, we take the derivative of the position function with respect to time (t):

v(t) = d/dt (0.20 + 8.0t - 10t^2)

= 8.0 - 20t

The velocity function v(t) represents the rate of change of the position of the particle with respect to time. If the velocity is zero at any point in time, it means the particle is momentarily at rest.

Setting the velocity function equal to zero, we have:

8.0 - 20t = 0

Solving for t, we find:

20t = 8.0

t = 0.4

So, at t = 0.4, the velocity of the particle is zero. This indicates that the particle is momentarily at rest at this time.

Therefore, there is a time interval during which the particle is not moving, specifically at t = 0.4. Before and after this time point, the particle is in motion either upward or downward along the y-axis.

It's worth noting that we should consider the full domain of the position function (y) to determine if there are any other time intervals during which the particle is not moving. In this case, the given function does not specify any constraints on time, so the time interval t = 0.4 is the only time interval during which the particle is at rest.

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The empirical probability of drawing the cards will be 6 / 55.

The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.

Given that a card is drawn one at a time from a well-shuffled deck of 52 cards. In 13 repetitions of this experiment, 1 king is drawn.

The number of kings in a well-shuffled deck consists of 52 cards which is 4.

The number of ways of drawing consists of 4 kings in 13 repetitions which is ¹³C₄.

In 13 repetitions, 2 kings are drawn by ¹³C₂ ways,

The empirical probability will be calculated as,

P(E) = ¹³C₂ / ¹³C₄

P(E) = [ (13!) / (13-2)! ] ÷ [ (13!) / ( 13-4)!(4!) ]

P(E) = ( 4 x 3 ) / ( 11 x 10)

P(E) = 6 / 55

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Answer:

\( \frac{250(n + 4)}{n} \geqslant 320\)

\( \frac{250n + 1000}{n} \geqslant 320\)

\(250 + \frac{1000}{n} \geqslant 320\)

\( \frac{1000}{n} \geqslant 70\)

\( \frac{n}{1000} \leqslant \frac{1}{70} \)

\(n \leqslant \frac{1000}{70} \)

\(n \leqslant 14\)

The calculated value of the surface area of the cube is 294 mm^2

From the question, we have the following parameters that can be used in our computation:

The cube

The side length of the cube is

Length = 7 mm

The surface area of the cube is calculated as

Surface area = 6 * Length^2

Substitute the known values in the above equation, so, we have the following representation

Surface area = 6 * 7^2

Evaluate

Surface area = 294 mm^2

Hence the surface area is 294 mm^2

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The probability of having at least one dog adopted is 0.6126

It is given that the probability to adopt a dog is 0.1

The adoption of the dog here clearly follows a Binomial distribution

ⁿCₓ  X  pˣ  X  (1 - p)ⁿ⁻ˣ

where,

n = no. os sample

p = probability of success

x = random variable.

Here the success would be the adoption of a dog, We are given here there were 9 visits

Hence,

n = 9

p = 0.1

1 - p = 0.9

we need to find the probability of the adoption of at least one dog

= P(X ≥ 1)

= 1 - P(X = 0)

Hence we get

P(X = 0)

= ⁹C₀  X  0.1⁰  X  0.9⁹

= 0.3874

Hence,

P(X ≥ 1)

= 1 - 0.3874

= 0.6126

Therefore the probability that at least one dog will be adopted is 0.6126

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The total cost to produce 30 bicycles is $11,250.00. The profit on the first 30 bicycles is $1,350.00. The marginal profit on the 31st bicycle is $7.17.

To find the total cost to produce 30 bicycles, we need to calculate the cumulative cost of producing each bicycle up to the 30th bicycle. The marginal cost function C'(q) provides the additional cost of producing one bicycle at a given quantity q.

By integrating C'(q) with respect to q, we can obtain the total cost function C(q).

Given C'(q) = 600/(0.3q) + 5, we can integrate it to find C(q):

C(q) = 600ln(0.3q) + 5q + C1

Since C(q) represents the total cost, we can determine the constant C1 by considering the fixed cost of $2,100 when no bicycles are produced (C(0) = 2,100). By substituting this value into the equation and solving for C1, we find C1 = 1,500.

Therefore, the total cost to produce 30 bicycles (C(30)) is:

C(30) = 600ln(0.3*30) + 5*30 + 1,500 ≈ $11,250.00

To calculate the profit on the first 30 bicycles, we subtract the total cost from the revenue obtained by selling the bicycles. Since each bicycle is sold for $220, the revenue from selling 30 bicycles is 30 * $220 = $6,600. The profit is then:

Profit = Revenue - Total Cost = $6,600 - $11,250.00 ≈ -$4,650.00

The negative profit indicates a loss on the first 30 bicycles.

Finally, to find the marginal profit on the 31st bicycle, we need to calculate the difference between the revenue and the additional cost of producing the 31st bicycle. The marginal profit is given by the difference between the marginal revenue (MR) and the marginal cost (MC) at q = 31.

Since the revenue from selling one bicycle is $220, the marginal revenue is MR = $220. The marginal cost is obtained by evaluating C'(31):

MC(31) = 600/(0.3*31) + 5 ≈ $34.17

Therefore, the marginal profit on the 31st bicycle is:

Marginal Profit = MR - MC = $220 - $34.17 ≈ $185.83 ≈ $185.80

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The sample of size 36 provides the strongest evidence to reject H0 in favor of Ha

B) = 27, S = 4.

An testing whether the population mean (μ) is less than 30 based on a sample of size 36. The test statistic commonly used in this scenario is the t-statistic which follows a t-distribution.

The formula for the t-statistic is

t = (X - μ) / (S / √(n))

where:

X is the sample mean

μ is the hypothesized population mean under H0

S is the sample standard deviation

n is the sample size

A smaller t-statistic value indicates stronger evidence against H0 and in favor of Ha.

calculate the t-statistic for each sample result

A) X= 28, S = 6, n = 36

t = (28 - 30) / (6 / √(36)) = -2 / (6/6) = -2

B) X= 27, S = 4, n = 36

t = (27 - 30) / (4 / √(36)) = -3 / (4/6) = -4.5

C) X = 32, S = 2, n = 36

t = (32 - 30) / (2 / √(36)) = 2 / (2/6) = 6

D) X = 26, S = 9, n = 36

t = (26 - 30) / (9 / √(36)) = -4 / (9/6) = -8/3 ≈ -2.67

Comparing the t-statistics,  that option B) with t = -4.5 gives the strongest evidence against H0. A more negative t-value indicates a larger deviation from the hypothesized mean of 30, which supports the alternative hypothesis that the true mean is less than 30.

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Answer:

Below

Step-by-step explanation:

Slope-y-axis -intercept form is  y = mx + b

y = - 2/5 x + 3     Done.