6.at what interval does the car reach the the highest acceleration ?

7. what is the highest acceleration of car ?

8. what is the lowest acceleration of the car ?

9. at what time interval did the car attains the lowest acceleration ?

10. base on the given data , how do u describe the motion of the car in the whole trip?

pls answer this thanks​​

The table of values is

X |f(x)

0 | 1

2 | 15

4 | 256

6 | 4096

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

f(x) = 4^x

Next, we set the x values to be some values

say x = 0, 2 4 and 6

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

f(0) = 4^0 = 1

f(2) = 4^2 = 16

f(4) = 4^4 = 256

f(6) = 4^6 = 4096

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Answer:

2p + 5p

=7p

Step-by-step explanation:

To convert tablespoon to grams, you need to know the density of the substance and use a conversion factor to multiply the number of tablespoons by the density in grams per tablespoon.

To convert tablespoon (tbsp) to grams (g), you need to know the density of the substance you are measuring.

For example, 1 tablespoon of water weighs approximately 15 grams. However, the weight of 1 tablespoon of a different substance, such as flour or sugar, would be different because their densities are different.

Therefore, you need to look up the density of the substance you are measuring and use a conversion factor to convert tablespoons to grams. The conversion factor will be the density of the substance measured in grams per tablespoon.

Then, to convert tablespoons to grams, multiply the number of tablespoons by the conversion factor. The result will be the weight of the substance in grams.

Here's an example of how to convert tablespoons to grams using a conversion factor:

Suppose you need to convert 3 tablespoons of sugar to grams. The density of sugar is approximately 12.5 grams per tablespoon. To convert tablespoons to grams, you would multiply the number of tablespoons by the conversion factor (density in grams per tablespoon):

3 tbsp * 12.5 g/tbsp = 37.5 grams

Therefore, 3 tablespoons of sugar is equivalent to 37.5 grams of sugar.

It's important to note that the density of a substance can vary depending on various factors such as temperature, pressure, and moisture content. Therefore, it's important to use a reliable source for the density of the substance you are measuring.

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Answer:

reflection

Step-by-step explanation:

by examination

Answer:

A reflection off the x axis

Step-by-step explanation:

Hope this helps!!!

The answer  is that Kent will likely use an online survey primarily because it offers convenience and efficiency in reaching a larger audience and collecting data in a more organized manner.

Online surveys are also cost-effective and allow for easy customization of questions and analysis of responses. Additionally, they provide anonymity for respondents, which may lead to more honest and accurate feedback.



By utilizing an online survey, Kent can save money on printing and postage costs associated with mailing physical surveys. Additionally, online surveys typically yield faster response times since customers can easily access and complete the survey through their email. Furthermore, online survey platforms often provide built-in data analysis tools, allowing Kent to efficiently analyze the results and gather insights about the quality of service at his cell phone repair shop.

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Complete question :

A total of 46 percent of the voters in a certain city classify themselves as Indepen-dents, whereas 30 percent classify themselves as Liberals and 24 percent say thatthey are Conservatives. In a recent local election, 35 percent of the Independents,62 percent of the Liberals, and 58 percent of the Conservatives voted. A voter ischosen at random. Given that this person voted in the local election what is theprobability that he or she is Given that this person voted in the local election, what is the probability that he or she is (a) an Independent? (b) a Liberal? (c) a Conservative? (d) What fraction of voters participated in the local election?

Answer:

A) 0.331 ; B) 0.383 ; C) 0.286 ; D) 0.4862

Step-by-step explanation:

Given the following :

P(Independent(I)) = 46/100 = 0.46

P(Liberal(L)) = 30/ 100 = 0.3

P(Conservative(C)) = 24 / 100 = 0.24

Election participation (EP) :

P(EP | I) = 35 / 100 = 0.35

P(EP | L) = 62/100 = 0.62

P(EP | C) = 58/100 = 0.58

P(EP) = P(EP | L)*P(L) + P(EP | I)*P(I) + P(EP | C)*P(C)

P(EP) = (0.62*0.3) + (0.35*0.46) + (0.58*0.24)

P(EP) = 0.186 + 0.161 + 0.1392 = 0.4862

A) probability of Independent given that the person participated in election:

P(I Given EP) = [P(EP | I) * P(I)] / P(EP)

= (0.35 * 0.46) / 0.4862

= 0.161 / 0.4862

= 0.331

B) probability of Liberals given that the person participated in election:

P(L Given EP) = [P(EP | L) * P(L)] / P(EP)

= (0.62 * 0.3) / 0.4862

= 0.186 / 0.4862

= 0.383

C.) P(C Given EP) = [P(EP | C) * P(C)] / P(EP)

= (0.58 * 0.24) / 0.4862

= 0.1392 / 0.4862

= 0.286

Answer:

k+4

Step-by-step explanation:

Easton has 'k' trading cards. if you have 4 trading cards more than Easton, then add the 4 to the cards Easton has. Thus (k+4)

The value of the percent increase in the value of W is 50%.

How can I determine the ratio between two quantities?

When the ratio of each of the two quantities' values is equal, the two quantities are said to be proportionate. It comes in two varieties: direct and indirect. The ratio is more than one for direct relations whereas it is less than one for indirect relations.

The relationship provided in the issue can be expressed as,

W ∝ X

X now has a new value when it is increased by 50%:

X + 50% × X

⇒ X + 50/100 × X = 3X/2

Assume that X and W now have values of X1 and W1, respectively.

Consequently, they are related in the following ways:

W ∝ X

⇒ 3/2W ∝ 3/2X

⇒ 3/2W ∝ X₁

W's value is increased by 3/2W - W, which equals 1/2W.

The percentage growth

⇒ (1/2W)/W × 100%  = 50%

Hence, the percent increase is obtained as 50%.

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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:

Original volume = (4/3)π(6^3) = 288π

New volume = (4/3)π(18^3) = 7,776π

7,776π ÷ 28π = 27

When the radius of a sphere is tripled, the volume of the new sphere is 27 times the volume of the old sphere.

The approximate commission at the rate of 7% is $650.82

What is area of triangle?

The area occupied by a triangle is known as area of triangle. The area if computed as 1/2*base*height

We are given the, base of 1500 feet and a height of 600 feet

Hence the area of triangle can be given as

Area= 0.5*1500*600

Area= 450000 ft^2

Now 1 acre costs as 43560 sqft

Hence the area of triangle in acres is

Area in acres = \(\frac{450000}{43560}\)

Area in acres= 10.33

Hence total amount for which the piece of land is sold = 10.33*900

Total amount= $9297

Now we have to find the 7% of this amount

Hence

\(=\frac{9297*7}{100}\\=650.82\)

Hence the amount received as commission is $650.82

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Answer:

5/8

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

............................

Answer:

the answer is the second one

Step-by-step explanation:

hoped I helped:)

The event that, by definition, covers the entire sample space of the experiment is A. The number is even or less than 12.

The sample space in this experiment consists of the numbers {2, 3, 4, 5, 6, 7, 8, 9, 10}. To cover the entire sample space, the event must include all possible outcomes.

Option A states that the number is even or less than 12. Since the set of numbers given only includes integers from 2 to 10, all the numbers in the sample space are less than 12, and half of them (2, 4, 6, 8, 10) are even. Therefore, option A covers the entire sample space. Option B states that the number is not divisible by 5. While this event covers some of the numbers in the sample space (2, 3, 4, 6, 7, 8, 9), it does not include all the numbers, leaving out the number 5. Thus, it does not cover the entire sample space.

Option C states that the number is neither prime nor composite. However, all the numbers in the sample space are either prime (2, 3, 5, 7) or composite (4, 6, 8, 9, 10). Therefore, option C also does not cover the entire sample space. Option D is the same as option C and does not cover the entire sample space.

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Factoring a quadratic in two variables with a leading coefficient of 1 involves finding two binomial factors that, when multiplied, produce the quadratic expression. The factors can be determined by identifying the common factors of the quadratic terms and arranging them appropriately.

To factor a quadratic expression in two variables with a leading coefficient of 1, we need to look for common factors among the terms. The goal is to rewrite the quadratic expression as a product of two binomial factors. For example, if we have the quadratic expression x^2 + 5xy + 6y^2, we can factor it as (x + 2y)(x + 3y) by identifying the common factors and arranging them in the binomial factors.

The process of factoring a quadratic in two variables may involve trial and error, testing different combinations of factors to find the correct factorization. Additionally, factoring methods such as grouping or using the quadratic formula can also be applied depending on the specific quadratic expression.

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Answer:

D. -1.5

Step-by-step explanation:

option c is correct that if the two events are mutually exclusive than they cannot be independent.

As, we know that "mutually exclusive events are those events that do not occur at the same time".

Mutually exclusive events do not share any sample points with each other, so they cannot occur at same time. Thus, if event A and event B are mutually exclusive, they are actually inextricably dependent on each other because A's existence reduces event B's probability to zero and vice-versa.

Therefore, two events with nonzero probabilities cannot be independent and mutually exclusive because if two events are mutually​ exclusive, then when one of them​ occurs, the probability of the other must be zero.

Hence, option c is correct that if the two events are mutually exclusive than they cannot be independent.

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proof:

CD= radius r

OC=OD= radius

OCD is equilateral triangle

∠DCO=∠COD=∠ODC=60  degrees

∠ACB=90  degrees

 (Angle in semicircle)

∠DOC=2∠DBC (half angle)

∠DBC=30  degrees

∠ECB+∠BCA=180  degrees

 (linear pair)

∠ECB=180−90=90  degrees

In △ECB

∠CEB+∠ECB+∠CBE=180  degrees

∠CEB+90+30=180

∠CEB=60  degrees

*This is the full proof and ask me questions in comments if you have anything you don't understand! Also I would appreciate if you give me brainlliest!!

Answer:

Inequality 1: x + y ≤ 1.50

Inequality 2: 4x + 6.5y ≥ 780

So, the possible solution can be x = 20, y = 1.20

(1) The inequalities can be written as:-

Inequality 1: x + y ≤ 1.50

Inequality 2: 4x + 6.5y ≥ 780

(2) The possible solution for the value of x and y can be x = 0.30, y = 1.20.

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

Given that Abigail owns a food truck that sells tacos and burritos. She only has enough supplies to make 130 tacos or burritos. She sells each taco for $3 and each burrito for $6. Abigail must sell no less than $600 worth of tacos and burritos each day.

The inequalities can be written as:-

Inequality 1: x + y ≤ 1.50

Inequality 2: 4x + 6.5y ≥ 780

The two inequalities can be solved as:-

x + y = 1.50 or x= 1.50 - y

4x + 6.5y = 780

4( 1.5 - y ) + 6.5y = 780

6 - 4y + 6.5y = 780

y = 1.20

The value of x will be,

x= 1.50 - y

x= 1.50 - 1.2

x = 0.30

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\((36911.22/500) = 12x ln(1 + r)ln(36911.22/500) = 12x(0.0083333333)ln(36911.22/500) = 0\).0083333333x

Multiply both sides by 1000 and divide both sides by 0.0083333333 to get: x = 35.

Let x be the age of the person. When the person was born, their parents opened an investment account in their name and deposited $500 into the account.

Let A be the value of the investment account when the person is x years old.

The interest rate is 10% compounded monthly. Then, the monthly interest rate is

\(:r = (10/12)/100 = 0.0083333333\)

The account has earned interest for 12 * x months.

Hence, we have:

\(A = 500(1 + r)^(12x)\)

Now, we can solve for x.

A = 36911.22.

Hence:\(36911.22 = 500(1 + r)^(12x)\)

Take the natural logarithm of both sides to solve for x.

\(ln(36911.22/500) = 12x ln(1 + r)ln(36911.22/500) = 12x(0.0083333333)ln(36911.22/500) = 0.0083333333x\)

Multiply both sides by 1000 and divide both sides by 0.0083333333 to get: x = 35.

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Answer:

-4 degrees F

Step-by-step explanation: So the temperature was -12F add 8F that gets you to -4F. It rose 8F.

The composite function fg(x) is a linear function​ by the proof shown below

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

f(x) = 2x - 1

g(x) = -x + 3

The above functions are linear functions

This means that the function fg(x) will also be a linear function​

To prove this, we have

f(g(x)) = 2(g(x)) - 1

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

f(g(x)) = 2(-x + 3) - 1

So, we have

f(g(x)) = -2x - 7

Hence, the function is a linear function

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To find the area of the figure, we need to divide it into rectangles and add up their areas. We can see that the figure is made up of three rectangles:

- One rectangle with sides 2m and 4m, giving an area of 8m².
- One rectangle with sides 3m and 4m, giving an area of 12m².
- One rectangle with sides 2m and 4m, giving an area of 8m².

Adding up these areas, we get:

8m² + 12m² + 8m² = 28m²

Therefore, the area of the figure is 28 square meters.

Note that the fact that the sides meet at right angles is important, because it allows us to divide the figure into rectangles and calculate their areas easily. If the sides did not meet at right angles, the figure might not be able to be divided into rectangles, and we would need a different method to find its area.

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Answer:

50 kg of green tea leaves and 50 kg of assam black tea leaves.

Step-by-step explanation:

Let x kg be the amount of green tea and y kg be the amount of Assam tea.

x+y=100 (1) [mass]

price for 1 kg of assam tea= 7.20/600×1000g

= $12/kg

total cost= 100×10

= $1000

8x+12y= 1000 (2) [cost]

(1)×8: 8x+8y= 800 (3)

(2)-(3): (8x+12y)-(8x+8y)= 1000-800

4y= 200

y= 50 (4)

sub (4) into (1):

x+50= 100

x= 50

The optimal amount of soil that the agricultural compnay should sell to maximize profit is to sell all 60 tons of loam soil and 60 tons of peat soil, for a total profit of $7,500.

The given data for the Agricultural company is as follows:

Loam soil capacity = 60 tons

Peat soil capacity = 90 tons

Selling capacity of soil = 120 tons

Profit of loam soil = $50

Profit for  peat soil = $75

Let us assume that,

Amount of loam soil selling  = x

Amount of peat soil selling = y

As per the given data:

x ≤ 60

y ≤ 90

The total amount of soil sold  =  x + y ≤ 120

The profit for selling one ton of loam soil =  $50

The profit for selling one ton of peat soil = $75.

The total profit can be equated as P = 50x + 75y.

As per the constraints,

x ≤ 60 and y ≤ 90

x + y ≤ 120.

x = 60

y = 60

Therefore we can conclude that the optimal answer is to sell all 60 tons of loam soil and 60 tons of peat soil, for a total profit of $7,500.

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Complete Question

An agriculture company sells two types of soil; loam and peat. The company has 60 tons of loam soil and 90 tons of peat soil. The company expects to sell at most 120 tons of soil. The profit for selling the soils is $50 for loam and $75 for peat.  How much of each soil type should be sold to maximize profit?

The formula for the nth term of the series will be (11+n)*(n+1).

A series in mathematics is essentially the process of adding an infinite number of quantities, one after the other, to a specified starting quantity. A significant component of calculus and its extension, mathematical analysis, is the study of series. The fundamental concepts in mathematics are series and sequence. A series is the total of all elements, whereas a sequence is an ordered group of elements in which repeats of any kind are permitted. One of the typical instances of a series or a sequence is an arithmetic progression.

In this the pattern of the series is

24=12*2

39=13*3

54=14*4

hence The formula for the nth term of the series will be (11+n)*(n+1).

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