A town’s population of children increased from 376 to 421 during the past year.
Which equation shows how to find the percent increase?
A. p=421−376
376
B. p=421−376
421
C. p=376
421−376
D. p=376+421
376

The missing values of the proportion are;

a. 18

b. 19.5

c. 45%

d. 180

The percentage of a number can be defined as the fraction of a number and hundred.

It is represented with the symbol, %.

From the information given, we have that'

1. 6% of 30

This is represented as;

60 /100 × 30

Multiply the values

18

2. 65% of 30

This is represented as

65/100 × 30

Multiply the values

1950/100

19.5

3. 18/40 × 100

Multiply the values

1800/40

45%

4. 81 = 45/100x

cross multiply the values

x = 180

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Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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The equilibrium point is (60, 2400), the consumer surplus at the equilibrium point is $48,000, and the producer surplus at the equilibrium point is $36,000.

(a) The equilibrium point occurs when the quantity demanded by consumers equals the quantity supplied by producers. To find this point, we need to set the demand function equal to the supply function and solve for x.

Demand function: D(x) = 3000 - 10x

Supply function: S(x) = 900 + 25x

Setting D(x) equal to S(x):

3000 - 10x = 900 + 25x

Simplifying the equation:

35x = 2100

x = 60

Therefore, the equilibrium point occurs at x = 60.

(b) Consumer surplus at the equilibrium point can be found by calculating the area between the demand curve and the equilibrium price. Consumer surplus represents the difference between the price consumers are willing to pay and the actual market price.

At the equilibrium point, x = 60. Plugging this value into the demand function:

D(60) = 3000 - 10(60)

D(60) = 3000 - 600

D(60) = 2400

The equilibrium price is $2400 per unit. To find the consumer surplus, we need to calculate the area of the triangle formed between the demand curve and the equilibrium price.

Consumer surplus = (1/2) * (2400 - 900) * 60

Consumer surplus = $48,000

(c) Producer surplus at the equilibrium point represents the difference between the actual market price and the minimum price at which producers are willing to sell their goods.

To find the producer surplus, we need to calculate the area between the supply curve and the equilibrium price.

At the equilibrium point, x = 60. Plugging this value into the supply function:

S(60) = 900 + 25(60)

S(60) = 900 + 1500

S(60) = 2400

The equilibrium price is $2400 per unit. To find the producer surplus, we need to calculate the area of the triangle formed between the supply curve and the equilibrium price.

Producer surplus = (1/2) * (2400 - 900) * 60

Producer surplus = $36,000

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Answer:

-7624928000 is the right answer.

Step-by-step explanation:

(-7624928) × 997 + 7624928 × (-3)

= -7602053216 + (-22874784)

= -7624928000        Ans..

Hope its helpful :-)

If so, please mark me as brainlist :-)

Answer:

Step-by-step explanation:

=(-7624928) * 997 + 7624928 * (-3)

=-7602053216+(-22874784)

=-7624928000

The domain of the quadratic function f(x) = 2x² - 4x + 2 is all real numbers, and the range is the set of real numbers greater than or equal to 1.

The domain of a quadratic function is the set of all possible input values, or x-values, for which the function is defined. In this case, there are no restrictions on the values that x can take since the quadratic function has a degree of 2, which means it is defined for all real numbers. Therefore, the domain of f(x) = 2x² - 4x + 2 is (-∞, +∞), representing all real numbers.

The range of a quadratic function is the set of all possible output values, or y-values, that the function can produce. In this case, we can analyze the graph of the quadratic function to determine its range. The coefficient of the x² term is positive (2), which means the quadratic function opens upward and has a minimum point. Since the leading coefficient is positive and the quadratic term dominates the function, the range of the function will be all real numbers greater than or equal to the y-coordinate of the minimum point.

To find the y-coordinate of the minimum point, we can use the formula x = -b/2a, which gives the x-coordinate of the vertex of a quadratic function in the form f(x) = ax² + bx + c. In our case, a = 2, b = -4, and c = 2. Plugging these values into the formula, we get x = -(-4)/(2*2) = 1. Substituting x = 1 back into the function, we get f(1) = 2(1)² - 4(1) + 2 = 2 - 4 + 2 = 0.

Therefore, the vertex of the quadratic function is (1, 0), and the range of f(x) = 2x² - 4x + 2 is all real numbers greater than or equal to 0. In interval notation, we can represent the range as [0, +∞).

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The extreme values of the function f(x, y) = xy(2y^2 x^4 − y^4) on the circle x^2 + y^2 = 1 are approximately ±0.235

To find the extreme values of the given function f(x, y) = xy(2y^2 x^4 − y^4) on the circle x^2 + y^2 = 1, we can use the method of Lagrange multipliers.

First, we write down the Lagrangian function L(x, y, λ) as follows:

L(x, y, λ) = xy(2y^2 x^4 − y^4) + λ(x^2 + y^2 − 1)

Then, we take the partial derivatives of L with respect to x, y, and λ and set them equal to zero:

∂L/∂x = y(2y^2 x^4 − y^4) + 2λx = 0

∂L/∂y = x(6y^3 x^4 − 4y^3) + 2λy = 0

∂L/∂λ = x^2 + y^2 − 1 = 0

Simplifying the first two equations, we get:

2y^5 x^4 − y^5 + 2λxy = 0

6y^4 x^4 − 4y^4 + 2λxy = 0

Dividing these equations, we obtain:

3x^4 = 2y^2

Substituting this back into the equation x^2 + y^2 = 1, we get:

3x^4 + x^2 = 1

This is a quartic equation in x^2. We can solve it using numerical methods to get the two possible values of x:

x ≈ ±0.681

y ≈ ±0.732

Plugging these values into the equation 3x^4 = 2y^2, we get:

y ≈ ±0.524

Now we can calculate the corresponding values of the function f(x, y) = xy(2y^2 x^4 − y^4):

f(x, y) ≈ ±0.235

Therefore, the extreme values of the function f(x, y) on the circle x^2 + y^2 = 1 are approximately ±0.235, and they are attained at the points (±0.681, ±0.732) and (±0.732, ±0.681).

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73/100

Is 0.73 as a simplified fraction

Answer:

division

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

When you fill your coffee at a gas station, you're supposed to get 8 ounces of coffee with a standard deviation of .7 ounces. A random sample of 50 "8 ounce" coffees is collected and measured and the mean was found to be 7.8 ounces. a) Find a 90% confidence interval. b) Interpret the confidence interval in the context.

Solution:

The confidence = 90% = 0.9, mean (μ) = 7.8 ounces, standard deviation (σ) = 0.7 ounces, sample size (n) = 50

α = 1 - C = 1 - 0.9 = 0.1

α/2 = 0.1 / 2 = 0.05

The z score of α/2 is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.65

The margin of error (E) is given by:

\(E = z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{n} } \\\\E=1.65*\frac{0.7}{\sqrt{50} } =0.16\)

The confidence interval = μ ± E = 7.8 ± 0.16 = (7.64, 7.96)

b) This means that we are 90% confident that any selected coffee has a weight between 7.64 ounce to 7,96 ounce

If a group of test subjects is divided into twelve groups; then four of the groups are chosen at random, the type of sampling used is random sampling.

Random sampling is a statistical procedure that selects a group of subjects from a larger population, and it is done by using a random selection method. Random sampling is the selection of random individuals from the population. It's a subset of statistical sampling techniques that choose a portion of the population for research randomly. Each person in the population has an equal chance of being selected in random sampling.

Let's consider that you are interested in surveying the students of a high school on their preference for school lunch. To do this, you would need to choose a sample of students to survey. Here is how you might use random sampling to do it: Prepare a list of all the students enrolled in the school. Assign a number to each student. For example, if there are 200 students, assign each student a number from 1 to 200.

Use a random number generator to select a subset of numbers. For example, the random number generator might produce the numbers 27, 56, 139, and 187. Select the students whose numbers correspond to the generated numbers. In this case, you would select students number 27, 56, 139, and 187, and then survey them to learn about their lunch preferences.

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When booking a show for a future date, it is normal practice for the booking agent to collect a 50% advance fee when the advances are not given for shows. This is to ensure that the performer is fully committed to performing at the event and to cover any expenses that may be incurred in the process.

The advance fee is usually non-refundable and is paid by the promoter or venue operator to the booking agent. This is to show their commitment to the performer and to demonstrate that they are serious about booking them for the event. The remaining balance is then usually paid on the day of the performance or shortly after.

The booking agent should also ensure that all parties involved in the booking are aware of the terms and conditions and have signed a contract or agreement to confirm their agreement.

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The required, we can conclude that the given series converges by the Alternating Series Test.

The given alternating series is \(\sum((-1)^{k+1})/((k+5)4^k)\) for k = 1 to ∞.

To determine whether this series converges or diverges, we can use the Alternating Series Test.

The Alternating Series Test states that if a series satisfies two conditions: (1) the terms alternate in sign, and (2) the absolute value of the terms decreases as k increases, then the series converges.

In this case, we can see that the terms alternate in sign since we have \((-1)^{k+1}\) in the numerator.

To check the second condition, let's consider the absolute value of the terms: \(|((-1)^{k+1})/((k+5)4^k)|\).

As k increases, the denominator \(((k+5)4^k)\) also increases. This means the absolute value of the terms is decreasing since the numerator remains constant \((-1)^{k+1}\).

However, to determine the convergence or divergence of the series, we need to evaluate the limit of the absolute value of the terms as k approaches infinity.

\(lim (k\rightarrow\infty) |((-1)^{k+1})/((k+5)4^k)| = 0.\)

Since the limit is zero, and the terms alternate in sign and decrease in absolute value as k increases, we can conclude that the given series converges by the Alternating Series Test.

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Answer:

Marrisa plans on studying for 5 hours today!

Step-by-step explanation:

1.5 hours =  (3/10) of X    ...... where X is the "number of hours she plans on studying today" and OF means to multiply....

so..... 1.5 = (3/10)X

then you will solve for X!  

Multiply by 10 on both sides and you get:   15= 3X

then divide by 3 on both sides and you get your answer!   5 = X

Answer: Lightning struck 22.5 times in 6 minutes, of the second storm.

First Storm

7/4= 1.75 strikes per minute

Second Storm

1.75+2=3.75

3.75*6=22.5 strikes in the second storm

Answer

so uh

Step-by-step explanation:

thats how to solve

9514 1404 393

Answer:

  A = 500

  B = 1.04

  49.6 years

Step-by-step explanation:

We assume your 'A' and 'B' refer to parameters in an exponential formula of the form ...

  y = A·B^x

In this form, A is the initial investment value, $500. B is the growth factor, 1+4% = 1.04, assuming interest is compounded annually. We want to find x such that y=$3500.

  3500 = 500·1.04^x . . . . . fill in known values

  7 = 1.04^x . . . . . . . . . . . . . divide by 500

  log(7) = x·log(1.04) . . . . . . take logarithms

  x = log(7)/log(1.04) ≈ 49.61 . . . . divide by the coefficient of x

It will take about 49.6 years for there to be $3500 in Mrs. Williams's account.

Answer:

y=-3x-4

Step-by-step explanation:

i solved it by the two points

Answer:

999,960

Step-by-step explanation:

let x be a multiple of 120

120x ≤ 999,999

999,999 / 120 = 8333.325

8333 ≤ x ≤ 8334

8333(120) = 999,960

8334(1200) = 1,000,080  this is a 7-digit number

Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960

The expression that is not a solution to the equation \(2^t\) = 10 is \(log_{10} 4\). The correct answer is 3.

In order for an expression to be a solution to the equation \(2^t\)= 10, it must yield the value of t that satisfies the equation when substituted into it. Let's evaluate each option to determine which one is not a valid solution:

(1) \(2/1 log 2\): This expression simplifies to log 2, which is not equal to the value of t that satisfies the equation \(2^t\) = 10.

(2) \(log_2\sqrt10\): This expression can be rewritten as \(log_2(10^{(1/2)}).\) By applying the property of logarithms, we can rewrite it as \((1/2)log_2(10)\). Since \(2^(1/2)\) is equal to the square root of 2, this expression simplifies to \((1/2)log_2(2^{(5/2)})\), which is equal to (5/4).

(3)\(log_{10}4\): This expression does not involve the base 2, so it is not a valid solution to the equation \(2^t\) = 10.

(4)\(log_{10} 4\): This expression simplifies to log 4, which is not equal to the value of t that satisfies the equation \(2^t\) = 10.

Therefore, the expression that is not a solution to the equation \(2^t\)= 10 is (3)\(log_{10}4.\)

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Question

Which expression is not a solution to the equation 2^t = 10 ?

(1)  2/1 log 2

(2) log_2\sqrt10

(3) log_104

(4) log_10 4

If at a store 4% of the eggs are cracked and you buy a dozen, then the probability that at least 1 is cracked is 0.916

The probability that the egg is cracked = 4%

= 0.04

The probability that the egg is not cracked = 1 - 0.04

= 0.96

Total number of eggs = 12 eggs

The probability that the one egg is cracked = 12 × 0.04 × (0.96)^11

= 0.306

The probability that 0 eggs are cracked = 1 × 0.04^0 × 0.96^12

= 0.61

The probability that at least 1 egg is cracked = 0.306 + 0.61

= 0.916

Therefore, the probability that at least 1 egg is cracked is 0.916

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The volume of the region S is approximately 17992.337 cubic units.

To find the volume of the region S defined by the portion of the surface z = 100 - x^2 - y^2 above the plane z = 5, we need to set up a triple integral over the region S:

V = ∫∫∫S dV

Since the region S is defined by the condition z > 5, we can rewrite the limits of integration for z as z ranging from 5 to 100 - x^2 - y^2. The limits of integration for x and y are determined by the projection of S onto the xy-plane, which is the circle x^2 + y^2 = 100 - z:

0 ≤ θ ≤ 2π

0 ≤ r ≤ √(100 - z)

Therefore, the triple integral becomes:

V = ∫∫∫S dV

= ∫0^√95 ∫0^2π ∫5^(100-r^2) dz r dθ dr

= ∫0^√95 ∫0^2π (95-r^2) r dθ dr

= ∫0^√95 2π(95r - r^3/3) dr

= π(95^2/2 - 2(95/4)^4/3)

Evaluating this expression, we get:

V ≈ 17992.337 cubic units

Therefore, the volume of the region S is approximately 17992.337 cubic units.

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The statement that In a firm with a multidivisional structure, the object is to try to achieve tight coordination between functions with emphasis on R&D, production, and marketing is false.

In this kind of structure, employees are divided into departments based on the types of products and/or geographic areas. For instance, General Electric has six product divisions: energy, capital, home & business solutions, healthcare, aviation, and transportation.

In contrast to a functional organization, which allows for greater efficiency by having only one department oversee all activities in a certain area, such as marketing, a multidivisional structure requires that a corporation have marketing units within each of its divisions.

It is untrue to say that the goal of a company with a multidivisional structure is to create close coordination between functions, with a focus on R&D, manufacturing, and marketing.

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complete question;

In a firm with a multidivisional structure, the object is to try to achieve tight coordination between functions with emphasis on R&D, production, and marketing. TRUE /FALSE

Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

Answer:

8,500

Step-by-step explanation:

Answer:

8,500

Step-by-step explanation:

Answer:

y ≤ 1/3x - 4

Step-by-step explanation:

it could not be options 3 or 4 because the y-intercept is -4, not +4

I picked a point in the shaded area to see which inequality, the first or the second, would make it true; the point I used was (3, -4)

1st option:  y ≥ 1/3x - 4        Is this true? -4 ≥ 1/3(3)  No, -4 is not GE 1

2nd option: y ≤ 1/3x - 4        Is this true? -4 ≤ 1/3(3)  Yes, -4 is LE 1  

The quadratic function y = -7x² represents the trajectory of one of the water balloons. Since it is a quadratic function, it forms a parabola. The coefficient of x², -7, determines the shape of the parabola.

Since the coefficient is negative, the parabola opens downwards.
The x-axis represents time, and the y-axis represents the height of the water balloon. The vertex of the parabola is the highest point the water balloon reaches before falling back down. To find the vertex, we can use the formula

x = -b/2a.

In this case,

b = 0 and a = -7.

Thus, x = 0.
So, the water balloon reaches its highest point at x = 0.

Plugging this value into the equation, we find that y = 0.

Therefore, the water balloon starts at the ground, reaches its highest point at x = 0, and then falls back down.

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Since the quadratic functions for the two water balloons are identical, the collision happens at all moments. The water balloons collide at every height and time, forming a continuous collision.

The quadratic function \(y = -7x^2\) represents the height (y) of a water balloon at different moments (x). When two water balloons collide, it means their heights are equal at that particular moment. To find when the collision occurs, we can set the two quadratic functions equal to each other:

\(-7x^2 = -7x^2\)

By simplifying and rearranging, we get:

0 = 0

This equation is always true, which means the water balloons collide at every moment. In other words, they collide continuously throughout their trajectory.

In conclusion, since the quadratic functions for the two water balloons are identical, the collision happens at all moments. The water balloons collide at every height and time, forming a continuous collision.

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Step-by-step explanation:

\( \tan(26) = \frac{42}{x} \\0.487732588565 \times x = 42 \\ x = 86.11276134633\)

C.x=86.113

Answer:

C (86.113)

Step-by-step explanation:

First, find the missing angle B. Since angles in a triangle add upp to 180,

180-26-90= 64

Then use the formula a/sina = b/sinb

' a' in the formula is the missing length X and sina is the corresponding(opposite) angle of X which is sin64.

B in the formula would be 42 and sinb is sin26 (the angle).

Substitute all values into the formula,

X/sin64 = 42/ sin26

Shift sin64 to the right side:

X= 42(sin64)/ sin26

X= 86.113

Hope this makes sense:)

Given that v0 = (2, 1, -2), v1 = (-2, 1, 1), and v2 = (1, 2, 2), we can find the orthonormal basis that should be parallel to v0, and w0 and w1 should span the same subspace as v0 and v1.To find the orthonormal basis that should be parallel to v0.

we need to follow these steps:

Let v0 be a vector in Rn with nonzero norm ||v0||, and let V be the subspace of Rn that is perpendicular to v0 (so if y is in V, then y·v0 = 0).

Then, we can construct an orthonormal basis {v1, . . . , vp} for V, and {v0/v0, v1, . . . , vp} will be an orthonormal basis for Rn.

To find {v1, . . . , vp}, we apply Gram-Schmidt to the basis {v0, v1, . . . , vp}.

Specifically, we compute vi' = vi - projv0vi for i = 1, . . . , p.

This ensures that {v1, . . . , vp} are all in V and that {v0/v0, v1, . . . , vp} is an orthonormal basis for Rn that is parallel to v0.

So, in this case, we can take v0 = (2, 1, -2), which has norm ||v0|| = sqrt(2^2 + 1^2 + (-2)^2) = sqrt(9) = 3.

Now, we need to find w0 and w1 that span the same subspace as v0 and v1. Since {v0, v1} is a basis for this subspace, any two linearly independent vectors in this subspace will span the same subspace. So, we can just pick any two such vectors. Let w0 = (2, 1, -2) and w1 = (-2, 5, 1).

We claim that {w0, w1} is linearly independent and spans the same subspace as {v0, v1}.To show that {w0, w1} is linearly independent, suppose that aw0 + bw1 = 0 for some scalars a and b. Then, we have(2a - 2b, a + 5b, -2a + b) = (0, 0, 0).This gives us two equations:2a - 2b = 0a + 5b = 0

Solving for a and b, we geta = 5/7 and b = -2/7.

Since a and b are not both zero, this shows that {w0, w1} is linearly independent.

To show that {w0, w1} spans the same subspace as {v0, v1}, we need to show that every vector in this subspace can be written as a linear combination of w0 and w1. Let (x, y, z) be any vector in this subspace.

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