Find the indicated derivative
dt/dx if t = x /8x-3

One factor that affects the slope of the aggregate demand curve is the multiplier effect is a "true" statement.

Aggregate demand would be a macroeconomic term which refers to the total consumption of goods and services in a given period at any price level.

Some key features regarding the aggregate demand curve?

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Answer:

105cm^2

Step-by-step explanation:

5 times 6 = 30

30 div 2 = 15

6 times 15 = 90

90 + 15 = 105

Answer:

A)  The function has a maximum value of 1

Step-by-step explanation:

Since the parabola opens downward, then its maximum would be 1 and its minimum would be -∞

Answer:

$5

Step-by-step explanation:

32-27 = 5

because he was earning 27 per skate board, that function shows him earning 32 per skate board which is an increase of $5.

Answer:

Step-by-step explanation:

Step 1: Identify the coordinates of each vertex. Step 2: Add all the x values from the three vertices coordinates and divide by 3. Step 3: Add all the y values from the three vertices coordinates and divide by 3. Step 4: Determine the centroid coordinate.

Answer:

i give you my best wishes

Step-by-step explanation:

Answer:

You didnt show a map

Step-by-step explanation:

Answer:

-4/5

Step-by-step explanation:

sin theta = opp/ hyp

sin theta = -3 /5

Using the Pythagorean theorem

opp ^2 + adj ^2 = hyp ^2

(-3) ^2 + adj ^2 = 5^2

9+ adj ^2 = 25

adj ^2 = 25 - 9

adj ^2 = 16

Taking the square root of each side

adj = ±4

Since we are in the 3rd quadrant  sin and cos are both negative so adj must be negative

adj = -4

cos theta = adj / hyp

cos theta = -4/5

Answer:

80-5{9-(14-12)}÷5

=80-5{9-2}÷5

=80-5×7÷5

=80-5×1.4

=80-7

=73

The simplified answer is 69.

BODMAS is an acronym and it stands for Bracket, Order, Division, Multiplication, Addition, and Subtraction.

Given:

80-5{9-(14-12)}÷5​

Now, using BODMAS we have

80-5{9-(-2)}/5

Again solving bracket

80-5{9+2}/5

80-5(11)/5

Now, perform division

80 - 11

lastly, addition

69

Hence, the simplified answer is 69

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The graph which shows the velocity of the particle at any time is attached below.

The graph is the rate of change of position of an object with respect to time. Velocity is the speed of an object moving in a definite direction.

Velocity is a vector quantity as it has both magnitude and direction. The velocity of a particle is modeled by the function. It is observed that the given velocity function is a cubic function. The attached graph shows the velocity of the particle at any time.

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Answer: B

Step-by-step explanation:

Keep it simple, Got it right on Edge 2022

After making a $150 deposit in the bank in one year, two years, and three years, Homer will have a total of $689 in the bank in four years, considering the interest rate of 5.6%.

Let's break down the problem step by step. In one year, Homer makes a $150 deposit. After one year, his initial deposit will earn interest at a rate of 5.6%. Therefore, after one year, his account balance will be $150 + ($150 * 0.056) = $158.40.

After two years, Homer makes another $150 deposit. Now, his initial deposit and the first-year balance will both earn interest for the second year. So, after two years, his account balance will be $158.40 + ($158.40 * 0.056) + $150 = $322.46.

Similarly, after three years, Homer makes another $150 deposit. His account balance at the beginning of the third year will be $322.46 + ($322.46 * 0.056) + $150 = $494.62.

Finally, after four years, Homer's account balance will be $494.62 + ($494.62 * 0.056) = $689.35, which rounds down to $689. Therefore, Homer will have $689 in the b in four years, considering the interest rate of 5.6%.

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Answer:

The Answer would be 8.

Step-by-step explanation:

9 x 8 = 72

Answer:

8

Step-by-step explanation:

72/9 = 8

1/2 pounds of peanuts.

To find the equivalent measure in sixteenths, find a number that divided by 16 is equal to 1/2. ( half)

8/16 = 1/2

Answer : 8/16

The difference between one cycle and the period of a sine curve is that the period represents the length of one complete cycle, while one cycle refers to the interval between two consecutive points where the curve starts and ends at the same position and direction.

The period of a sine curve refers to the length of one complete cycle of the curve. In other words, it is the distance between two consecutive points where the curve repeats itself. The period is usually denoted by the symbol T.

On the other hand, one cycle of a sine curve refers to the interval between two consecutive points where the curve starts and ends at the same position and direction. It represents the complete oscillation of the curve from its minimum value to its maximum value and back to its minimum value. One cycle is equivalent to one full revolution or rotation of the sine curve.

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Answer:

d) 5

Step-by-step explanation:

we can observe that the x-value 5 appears twice in the relation. However, in a function or a relation, each x-value should only have one corresponding y-value. Therefore, the repetition of (5, 1) and (5, 2) indicates an inconsistency or ambiguity in the relation. As a result, 5 is not a valid x-value in the domain.

The angle 1 can be named as follows:

∠RST

∠TSR

∠S

There are various ways to name an angles. You can name an angle by its vertex, by the three points of the angle (the middle point must be the vertex), or by a letter or number written within the opening of the angle.

Therefore, let's name the angle 1 indicated on the diagram as follows:

Hence, the different ways to name the angle 1 is as follows:

∠RST or ∠TSR

Or

∠S

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Answer:

Cumulative Frequency:

The sum of all the frequencies for all classes is equal to the number of elements in the given data and that summation is termed as the cumulative frequency which defines the number of entries of that statistical data.

The sum of relative frequencies is also equal to one, since the sum of all fractional parts must equal the whole.

Step-by-step explanation:

The volume of water in the tank before the valve is opened can be found by plugging in t = 0 into the given equation V = 62(151 - t), which gives the initial volume.

To find the volume of water in the tank before the valve is opened, we plug in t = 0 into the given equation: V = 62(151 - t). Substituting t = 0 gives V = 62(151), which simplifies to V = 9338 cubic meters.

To find how long it takes the tank to fully empty, we set V = 0 in the equation V = 62(151 - t) and solve for t. This gives 0 = 62(151 - t), which simplifies to 151 - t = 0. Solving for t gives t = 151 hours.

The equation dv/dt represents the rate at which the volume of water is changing with respect to time. To find the flow rate after 23 hours, we substitute t = 23 into the derivative equation dv/dt. This gives dv/dt = 62.

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Monthly payment before deferral: $345.09. Balance after deferral: $67,901.53. Monthly payment after deferral: $380.57. Monthly payment to pay off debt within 25 years from graduation: $421.63.

To calculate the monthly payment for a student loan, we can use the loan amortization formula.

Monthly payment calculation:

We can use the formula for calculating the monthly payment on an amortizing loan:

PMT = (P * r) / (1 - (1 + r)^(-n))

where PMT is the monthly payment, P is the loan amount, r is the monthly interest rate, and n is the total number of payments.

Given:

P = $62,100 (loan amount)

r = 4.6% per year / 12 months = 0.046/12 (monthly interest rate)

n = 25 years * 12 months = 300 (total number of payments)

Substituting these values into the formula, we can calculate the monthly payment:

PMT = (62,100 * (0.046/12)) / (1 - (1 + (0.046/12))^(-300))

Balance after deferral period:

To calculate the balance after the deferral period of 2 years, we need to calculate the interest accrued during that period and add it to the original loan amount:

Interest accrued during deferral = P * r * deferral period (in years)

New balance = P + Interest accrued during deferral

New monthly payment after deferral period:

To calculate the new monthly payment after the deferral period, we can use the same formula as before, but with the new balance and the remaining number of payments:

New PMT = (New balance * r) / (1 - (1 + r)^(-n))

Monthly payment to pay off the debt within 25 years from graduation:

To calculate the monthly payment to pay off the debt within 25 years from graduation, we need to adjust the remaining number of payments:

Remaining number of payments = 25 years * 12 months - deferral period

Then we can use the same formula as before to calculate the monthly payment.

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Answer:

B

Step-by-step explanation:

locate f(x) = - 1 on the y- axis

Move across horizontally until meeting the graph at (1, - 1 ) with x- coordinate x = 1

Thus x = 1 when f(x) = - 1

The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.

a) (x1)² + (x2)² > 9

This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.

b) x1 + x2 ≤ 10

This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.

c) x1, x2 > 0

This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.

Now, let's analyze the intersection of these constraints:

Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).

To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.

If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).

Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

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Answer: 1/3piex^2

3rd one down

Step-by-step explanation:

I’m not positive sorry if I’m wrong

Based on the hypothesis test, we fail to reject the null hypothesis that the standard deviation of hole diameter is less than or equal to 0.02 mm. Therefore, there is not enough evidence to indicate that the standard deviation of hole diameter exceeds 0.02 mm.

To test whether there is strong evidence to indicate that the standard deviation of hole diameter exceeds 0.02 mm, we can use a hypothesis test.

Let's assume that the hole diameter measurements follow a normal distribution. Then, the null hypothesis is that the standard deviation of the hole diameter, σ, is less than or equal to 0.02 mm

H0: σ ≤ 0.02

The alternative hypothesis is that the standard deviation of the hole diameter is greater than 0.02 mm

Ha: σ > 0.02

We can use a chi-square distribution with n-1 degrees of freedom to test this hypothesis. The test statistic is calculated as

χ2 = (n-1) × s^2 / σ^2

where s is the sample standard deviation, σ is the hypothesized population standard deviation (0.02 mm), and n is the sample size (15).

Plugging in the numbers, we get:

χ2 = (15-1) × 0.016^2 / 0.02^2 ≈ 4.08

The corresponding p-value for this test statistic can be found using a chi-square distribution with 14 degrees of freedom. Using a calculator or statistical software, we find that the p-value is approximately 0.931.

Since the p-value is much greater than the significance level (α = 0.05), we fail to reject the null hypothesis. There is not enough evidence to conclude that the standard deviation of hole diameter exceeds 0.02 mm.

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Answer:

infinitely many solutions

Step-by-step explanation:

12x-10=12x-10

12x=12x

x=x

To answer the question, no, the n-tuple (x,x,x,....x) does not necessarily have to consist of non-negative values.

An n-tuple is a sequence of n elements, and in mathematics, it can refer to a sequence of real numbers, complex numbers, or other types of mathematical objects. In the case of the given set of n-tuples, it specifies that the n-tuple consists of real numbers and that all the elements in the tuple have the same value, which is denoted by x.

The definition of the set only specifies that the elements are real numbers and that they are all equal to each other. Therefore, the elements in the tuple can be positive, negative, or zero.

However, if the context of the problem or application requires the elements to be non-negative, then this restriction should be explicitly stated.

For example, if the n-tuple represents a set of quantities that cannot be negative, such as lengths, areas, or volumes, then it is appropriate to specify that the elements are non-negative real numbers.

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The  sum or a difference of logarithms are: a)= log-1  (b)  log₉11  2) a) log2072  (b)  log10077696  (3) s= 1

The logarithm of a product is the sum of the logarithms of the factors being multiplied, while the logarithm of the ratio or quotient of two numbers is the difference of the logarithms.  To write the sum or difference of logarithms as a single logarithm, one can use the addition rule, the multiplication rule of logarithm, or the third rule of logarithms that deals with exponents.

the given logarithms are

a. log(19/20)

Applying the law of logarithm to get

log(19-20)

= log-1

b. log9(3 x 8)

log₉3 + log₉8

log ₉(3+8)

= log₉11

2 The logarithm that has error include

a. log56 + log37 = log542

The logarithm is wrong

Applying the law of multiplication we have

log(56*37)

= log2072

b. 3 log216 = log2163

This logarithm is wrong because applying the power law of logarithm

log216³ = log10077696

3) S = 10 logl1 - 10logI0

Using the low of logarithm we have

s= log11¹⁰/log10¹⁰

log(11/10)¹⁰⁺¹⁰

log(1.1)⁰

Any number raised to power zero is 1

therefore s= 1

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If the speed of the ball after kicking is 48 feet per second then the ball will return on the ground after 3 seconds.

Given that the speed of the ball after kicking is 48 feet per second and the function that represents the height of the ball is \(-16t^{2} +48t\).

We are required to find the time that the ball took to travel before returning the ground.

We know that speed is the distance a thing covers in a particular time period.

The height of the ball after t seconds is as follows:

h(t)=\(-16t^{2} +48t\)

It is at ground at the instants of t.

Hence,

\(-16t^{2} +48t\)=0

-16t(t-3)=0

We want value of t different of 0, hence :

t-3=0

t=3.

Hence if the speed of the ball after kicking is 48 feet per second then the ball will return on the ground after 3 seconds.

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Answer:

B. t=3

Step-by-step explanation:

i took the test and got it right