Oil is spilled onto a kitchen floor. The area covered by the oil at time t is given by the function A, where A(t) is measured in square centimeters and t
is measured in seconds. Which of the following gives the rate at which the area covered by the oil is changing at time t=10?

Answers

Answer 1

Answer:

did you ever fine out the answer to this lol

Step-by-step explanation:

Answer 2

Oil is spilled onto a kitchen floor. The area covered by the oil at time t is given by the function A, where A(t) is measured in square centimeters and t

is measured in seconds. The rate at which the area covered by the oil is changing at time t = 10 is  A'(10).

Given that:

The area covered by the oil at time t = A(t)

To determine the rate at which the area covered by the oil is changing with time, we need to differentiate  A(t) with respect to time t.

By differentiation:

\(\mathbf{\dfrac{dA}{dt} =A'(t)}\)

The rate at which the area covered with oil is changing is t = 10

\(\mathbf{\dfrac{dA}{dt} \Big| _{t=10}=A'(t)\Big|_{t=10}}\)

\(\mathbf{\dfrac{dA}{dt} =A'(10)}\)

Therefore, we can conclude that the rate at which the area covered by the oil is changing at time t=10 is  A'(10).

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Related Questions

What operation do u use to find the cost of a drink and a popcorn for one person? ​

What operation do u use to find the cost of a drink and a popcorn for one person?

Answers

Answer:

Alright let's do this.

First Rewrite the question:

What operation do u use to find the cost of a drink and a popcorn for one person? ​

Ok when solving you need to take Maria's name and only use first letter.

I am just going to show the you how to do the question.

________________________________________________________

P= Popcorn (Cost: $8.00)

D= Drink (Cost: $5.00)

M (Maria) = $8 + $5 = (Answer)

F (Her Friend) = $8 + $5 = (Answer)

A quick way to solve to find the total cost for 2 people.

8 x 2 = 16

5 x 2 = 10

The total cost that Maria has to pay for her and her friend is $26.00.

The operation used is Addition or Multiplication.

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Hope this helps! Have a great day!

Line B passes through points (4, 5) and (2,9). What is the slope of a line parallel to line
B?

Line B passes through points (4, 5) and (2,9). What is the slope of a line parallel to lineB?

Answers

Answer:

M = -2

Step-by-step explanation:

The slope of a line parallel to line B is -2.

To find the slope of a line parallel to line B, we need to determine the slope of line B first.

The slope of a line can be calculated using the formula:

\(slope = (y_2 - y_1) / (x_2 - x_1)\)

Let's use the given points (4, 5) and (2, 9) to calculate the slope of line B:

slope of line B = (9 - 5) / (2 - 4) = 4 / (-2) = -2

Since lines that are parallel have the same slope, the slope of any line parallel to line B will also be -2.

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help me find the volume

help me find the volume

Answers

Answer:

Volume is 9.428 cu.cm

It is asked for nearest tenth so it would be 10 cu.cm

What is the measure of angle Y in this figure

Y=____ degrees

What is the measure of angle Y in this figureY=____ degrees

Answers

Answer:

Y = 163°

Step-by-step explanation:

Y =  163° because vertically opposite angles are equal!

Hope this helps, have a great day. :D

5. discuss the effects on sample size, requirements of changing the desired confidence level, and the acceptable sampling error.

Answers

Changing any of these factors will impact the others. Increasing the sample size generally results in more accurate estimates, while increasing the desired confidence level or decreasing the acceptable sampling error requires a larger sample size.

What is sample size?

Sample size refers to the number of individuals or observations included in a study or experiment. It is a crucial component of research design because it determines how much data can be collected and analyzed, as well as the precision and accuracy of the results.

What is sampling error?

Sampling error is the difference between the results obtained from a sample and the results that would have been obtained if the entire population had been surveyed. It is a measure of the variability between the sample estimate and the true population parameter.

In the given question,

The sample size, desired confidence level, and acceptable sampling error are all interrelated factors in statistical sampling. Changing any of these factors will have an impact on the others.

First, let's define each factor:

Sample size: The number of individuals or items included in a sample.Confidence level: The degree of certainty that the true population parameter falls within the calculated confidence interval.Sampling error: The degree of error or variation between the sample statistic and the true population parameter.

Now, let's discuss the effects of changing each factor:

Sample size: Increasing the sample size generally results in a more accurate estimate of the population parameter. This is because a larger sample size reduces the effect of random variability and increases the precision of the estimate.

Confidence level: Increasing the desired confidence level requires a larger sample size to achieve the same level of precision. This is because a higher level of confidence requires a wider confidence interval, which in turn requires more data points.

Sampling error: Decreasing the acceptable sampling error requires a larger sample size to achieve the same level of precision. This is because a smaller sampling error requires a narrower confidence interval, which in turn requires more data points.

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Please help me fast I am in the middle of a test and I will give a brainleist.

Please help me fast I am in the middle of a test and I will give a brainleist.

Answers

Answer:

okay I believe it's A sorry If I'm wrong

Step-by-step explanation:

Answer:

St^{23}\sec \left(o\right)ndsago+5pts^6c-5b+18.2-2b+c+3

ep-by-step explanation:

sabrina wants to test which brand of popcorn pops the most kernels. she picked a store brand, orville redenbacher, and popsecret. all three bags started with the same number of kernels. she popped each for 3 minutes in the same microwave, and then counted the number of kernels left over. what is her independent variable?

Answers

The independent variable in Sabrina's experiment is the brand of popcorn.

An independent variable is a variable that is manipulated by the experimenter and is expected to cause a change in the dependent variable. In this case, Sabrina wants to see which brand of popcorn pops the most kernels, so she is manipulating the brand of popcorn by testing three different brands: store brand, Orville Redenbacher, and PopSecret. The dependent variable in this experiment is the number of kernels left over after popping for 3 minutes in the same microwave. This variable is expected to change based on the brand of popcorn being tested. By manipulating the independent variable and measuring the resulting changes in the dependent variable, Sabrina can determine which brand of popcorn pops the most kernels.

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SOMEONE PLEASE GIVE STEP BY STEP ILL GIVE BRAINLIEST

SOMEONE PLEASE GIVE STEP BY STEP ILL GIVE BRAINLIEST

Answers

Answer:

18.9 or 23.625

Step-by-step explanation:

Identify the conclusion of the statement.

If 2n-7 > 25, then n > 16

1- 2n-7 > 25
2- n > 16
3- 2n > 32
4- no conclusion can be made

Answers

Answer:

2) n > 16

Step-by-step explanation:

Usually, a statement is written as:

If P, then Q

Where P = hypothesis

Q  =  conclusion.

And our statement is:

if 2n - 7 > 25, then n > 16

(We can easily solve the inequality to get the thing in the right:

2n - 7 > 25

2n > 25 + 7 = 32

n > 32/2 = 16

n > 16 )

then:

P = (2n - 7)

Q = n > 16

Then the conclusion is: n > 16

The correct option is 2) n > 16

What are the 5 properties of a triangle?

Answers

Triangle properties include triangle inequality, angle sum, congruence, exterior angle theorem, and isosceles triangle theorem.

1. Triangle Inequality: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

2. Angle Sum of a Triangle: The sum of the angles of a triangle is always equal to 180°.

3. Congruence of Triangles: If two triangles have all three sides equal, then they are congruent (the same size and shape).

4. Exterior Angle Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it.

5. Isosceles Triangle Theorem: If two sides of a triangle are equal in length, then the angles opposite those sides are also equal in measure.

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The five properties of triangle is listed below.

The term triangle is defined as the polygon with three angle, sides and vertices.

Here we have to list down the properties of triangle.

The basic five properties of triangle are as follows:

1) in geometry, total amount of space inside the triangle is called the area of a triangle. And it is measured by square units.

2) The property of perimeter of a triangle is equal to the sum of all three sides of the triangle.

3) And the another property states that sum of the length of the two sides of a triangle is greater than the length of the third side.

4) according to the angle, the property states that sum of the angles of a triangle is always 180 degrees.

5) If angles of an equilateral triangle are equal and has a measure of 60⁰ each.

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Can someone help me with this math problem?

Can someone help me with this math problem?

Answers

Answer:

Add a dot (Point A) 5 units to the left of point C, a dot (Point B) 7 units below point C, and a final dot (Point D) that is 5 units across from Point B

Step-by-step explanation:

Using the definition of a rectangle (4 right angles)
- Length is usually viewed as left to right

- Width is usually viewed as top to bottom

Can someone help me with this math problem?

Change
the rate to a unit rate.
$20 for 5 Tshirts

Answers

Answer:

I'm confused by the question.

Step-by-step explanation:

The Jones family and the Connor family both bought the same boxed package of sugar cubes at the store, in which the cubes were arranged in 5 layers. After drinking of 61 cups of tea, the Joneses found that they were out of sugar. The Connors' sugar box was enough to last them through 88 cups of tea. Both families put either 2 or 3 pieces of sugar per cup. How many sugar cubes were in the box? SOMEONE PLS HELP

Answers

Answer:

180

Step-by-step explanation:

At the beggining, it says they are stacked in 5 layers which means the number of cubes is divisible by 5.

If the number of cubes equals x:

The least amount of sugar cubes the Jones family could have used is \(61*2\) which equals 122. The most they could've used is \(61*3\) which equals 183.

Based on the information from the Jones family, x is between 122 and 183.

Based on the information from the Connor family, x is between 176 and 264.

Based on the information from both, x is between 176 and 183. The only number that is divisible by 5 between those numbers is 180 cubes.

What is the “run” of the red line?

What is the run of the red line?

Answers

Answer:

2/3 i guess

Step-by-step explanation:

Find all real numbers x such that 3x - 4 < 5 and -8x - 19 < 21

Answers

Answer:

the numbers are -5 and 3

Step-by-step explanation:

First of all, the question is asking you to find the values of x from the given inequalities.

-8x -19<21 and 3x - 4 < 5

group all liked terms, in other words, make x and its coefficient stand alone.

-8x < 21 + 19 and 3x < 5 + 4

-19 became +19 because it crossed the sign <, also -4 became +4 because it crossed the sign <.

so we get

-8x < 40 and 3x < 9

we divide each "x" by its coefficient

\( \frac{ - 8x}{ - 8} < \frac{40}{ - 8} \: and \: \frac{3x}{3} < \frac{9}{3} \)

then we get

x < -5 and x < 3

but x is positive so it's greater than -5 so we get

x > -5 and x < 3

-6x-27=6
give me the answer please .

Answers

Answer:

-5.5

Step-by-step explanation:

-6x - 27 = 6

+ 27 +27

-6x = 33

÷-6 ÷-6

x = - 5.5

I am pretty sure the awnser is -5.5  because -6 Multiplied by -5.5 Is 33. 33 minus 27 is 6

Find the missing angle

Find the missing angle

Answers

Answer:

110 Degrees

Step-by-step explanation:

Every interior triangle equalls 180 degress. So you subtract what you already have from 180.

30+40+x=180

70+x=180

180-70=110

A triangle is always equals to 180 so you have to do:
40+30=70
180-70=110
F=110°

determine whether the function has a minimum or maximum f(x)=-2/3x+5 if x<0 -x if 0 4 -x^2+4x+4 if x>4

Answers

The function has no minimum or maximum

How to determine the minimum or the maximum of the function

The function is given as

f(x) = -2/3x + 5 if x < 0

f(x) = -x^2 + 4x + 5 if x > 4

The above function is a piecewise function

And the type of functions in the piecewise function are

Linear functionQuadratic function

A linear function does not have a minimum or a maximum

This means that the function would have no minimum or maximum

Hence, the minimum or the maximum value of the function does not exist

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need help finding BC.

need help finding BC.

Answers

Answer: what do all the # equal up to then subtract B+A first thenC+A next.then your left over # is the awnser.

Step-by-step explanation:

what do all the # equal up to then subtract B+A first thenC+A next.then your left over # is the awnser.

Question 3 of 5
What is the equation of the line through (2. - 4) and (0,4)?
A. y=-4x - 4
B. y=-4x+4
O C. y= 4x+ 4
O D. y=4x - 4

Answers

A. y=-4x-4 where m=-4 and c=-4 for the equation y=mx+c

Two different numbers are randomly selected from the set {1, 2, 3, 4, 5, 6, 7}. What is the probability that their sum is at least 7

Answers

The probability that the sum of the two randomly selected numbers is at least 7 is 12/21, which simplifies to 4/7 or approximately 0.571.

To find the probability that the sum of two randomly selected numbers from the set {1, 2, 3, 4, 5, 6, 7} is at least 7, we need to count the number of favorable outcomes and divide it by the total number of possible outcomes.

Let's consider the favorable outcomes:

1. Selecting 4 and 3: There are two ways to choose these numbers: (4, 3) and (3, 4).

2. Selecting 5 and 2: There are two ways to choose these numbers: (5, 2) and (2, 5).

3. Selecting 6 and 1: There are two ways to choose these numbers: (6, 1) and (1, 6).

4. Selecting 7 and any number: There are six ways to choose the second number: (7, 1), (7, 2), (7, 3), (7, 4), (7, 5), and (7, 6).

Therefore, the total number of favorable outcomes is 2 + 2 + 2 + 6 = 12.

Now let's consider the total number of possible outcomes:

We are selecting two numbers from a set of seven, which can be done in C(7, 2) ways (7 choose 2). This can be calculated as follows:

C(7, 2) = 7! / (2! * (7-2)!) = 7! / (2! * 5!) = (7 * 6) / (2 * 1) = 21.

So, the total number of possible outcomes is 21.

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f(x) = 2x-1 and g(x)=3x. Find f(g(-3))

Answers

Answer:

0,-1

Step-by-step explanation:

What is 5 tenths -2 tenths?

Answers

Answer:

0.3

Step-by-step explanation:

Answer: it is 0.3

Step-by-step explanation:

ngs
1 in 30 ft
OA. 2.75 in
OB. 5.5 in
OC. 11 in
OD. 8.25 in
1 in = 15 ft
Above are two different models of the same tree. If the model of the tree on the left measures 2.75 in tall, how tall is the model on the
right?

Answers

The requreid right model is 5.5 inches tall. Option B is correct.

We can set up a proportion based on the information given:

1 in on the left model corresponds to 30 ft in real life

1 in on the right model corresponds to 15 ft in real life

Let h be the height of the right model in inches.

Then we have:

2.75/1 = h/15

Cross-multiplying, we get:

1/ h = 2.75 / 15

h = 5.5

Therefore, the right model is 5.5 inches tall. Option B is correct.

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At a wedding there were 40 people from gromms side and 56 people from bride's family at the wedding

find the ratio of the groom's family to the bride's family at the wedding ​

Answers

Answer:

5 : 7

Step-by-step explanation:

groom's side: 40

bride's side: 56

ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7

Answer: 5 : 7

The answer is 96 people in total.

Explanation- 50+56 Is 106. So 106- 10=96.

There is your answer 96.

very fast
Show, by induction, that \( T(n)=10 n^{2}-3 n \quad \) if \( n=1 \)

Answers

Given that \(\(T(n)\) = \(10n^2-3n\)\) if (\(\(n=1\)\)), you have to prove it by induction. So, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if ( n= 1). The given statement is true for all positive integers n

Let's do it below: The base case (n=1) is given as follows: \(T(1)\) =\(10\cdot 1^2-3\cdot 1\\&\)=\(7\end{aligned}$$\). This implies that \(\(T(1)\)\) holds true for the base case.

Now, let's assume that \(\(T(k)=10k^2-3k\)\) holds true for some arbitrary \(\(k\geq 1\).\)

Thus, for n=k+1, T(k+1) = \(10(k+1)^2-3(k+1)\\&\) = \(10(k^2+2k+1)-3k-3\\&\)=\(10k^2+20k+7k+7\\&\) = \(10k^2-3k+20k+7k+7\\&\) = \(T(k)+23k+7\\&\) = \((10k^2-3k)+23k+7\\&\) =  \(10(k+1)^2-3(k+1)\).

Therefore, we have proved that the statement holds true for n=k+1 as well. Hence, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if (n=1). Therefore, the given statement is true for all positive integers n.

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2. Megan's aquarium measures 20 inches long, 14 inches wide, and 18 inches high. How many cubic inches of water would it take to completely fill the aquarium?

Answers

It would take 5040 cubic inches of water to completely fill the aquarium.

We know that the formula for the volume of cuboid :

V = length × width × height

Let us assume that l represents the length of the aquarium, w represent the width and h represents the height.

Here, l = 20 inches

w = 14 inches

and h = 18 inches

Using the formula for the volume of cuboid, the volume of aquarium would be,

V = l × w × h

V = 20 × 14 × 18

V = 5040 cu.in.

Therefore, it would take 5040 cu.in. of water.

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Which of the following statements are correct?

Select only those statements you know to be correct because negative marking is applied within this question (although it is not possible to get a negative mark for the question overall).

a.
Cost machines and cost related to machining are considered to be part of inventory

b.
Ordering costs decrease with respect to lot size

c.
It is good to have fixed interval ordering systems for products that have independent demand

d.
Companies using ABC approach need not use EOQ

e.
Taxes and insurance costs can be considered as carrying costs of inventory

f.
Costs incurred for defective products identified after the products are shipped are classified as internal failure costs

g.
Costs spent to prevent low quality goods in production are classified as cost of reengineering

h.
Costs of repairing faulty products under warranty are limited to external failure costs

i.
Returned goods cannot be classified under internal failure costs

j.
Under EOQ inventory model there is an assumption which states that there is no possibility of inventory stockout to occur

Answers

The correct statements are:

b) Ordering costs decrease with respect to lot size,

c) It is good to have fixed interval ordering systems for products that have independent demand,

e) Taxes and insurance costs can be considered as carrying costs of inventory,

f) Costs incurred for defective products identified after the products are shipped are classified as internal failure costs,

h) Costs of repairing faulty products under warranty are limited to external failure costs, and j) Under EOQ inventory model, there is an assumption which states that there is no possibility of inventory stockout to occur.

b) Ordering costs decrease with respect to lot size: Ordering costs involve the expenses incurred when placing orders for inventory, such as administrative costs, processing fees, and transportation costs.

When the lot size increases, the frequency of placing orders decreases, resulting in lower ordering costs per unit. This is because the fixed costs associated with ordering are spread over a larger quantity of inventory.

c) It is good to have fixed interval ordering systems for products that have independent demand: Fixed interval ordering systems involve placing orders at regular intervals, regardless of the inventory level.

This approach is suitable for products with independent demand, where the demand is unpredictable or sporadic. By setting fixed intervals, the company can ensure a consistent replenishment schedule and avoid stockouts while optimizing inventory levels.

e) Taxes and insurance costs can be considered as carrying costs of inventory: Carrying costs are the expenses associated with holding and storing inventory.

They include costs such as storage fees, insurance premiums, taxes on inventory, and the opportunity cost of tying up capital in inventory. Taxes and insurance costs directly impact the financial burden of inventory holding and are considered as components of carrying costs.

f) Costs incurred for defective products identified after the products are shipped are classified as internal failure costs: Internal failure costs are expenses incurred due to quality issues discovered within the company's operations.

In the context of inventory, costs related to defective products identified after they are shipped, but before reaching the customer, fall under internal failure costs. These costs include rework, scrap, and any necessary corrective actions taken to address the quality problems.

h) Costs of repairing faulty products under warranty are limited to external failure costs: External failure costs are the expenses incurred due to quality issues discovered by customers after the products have been delivered.

When faulty products are repaired under warranty, the costs associated with the repairs are considered external failure costs. This includes the direct costs of repairing or replacing the faulty products and any associated customer service expenses.

j) Under EOQ inventory model, there is an assumption which states that there is no possibility of inventory stockout to occur: The Economic Order Quantity (EOQ) model is a widely used inventory management technique.

It assumes that demand for the product is constant and known with certainty, there are no quantity discounts or price variations, and there is no possibility of stockouts occurring.

The assumption of no stockouts simplifies the calculations and ensures that the optimal order quantity obtained from the model will meet the demand without interruptions.

However, in real-world scenarios, stockouts can occur due to unforeseen factors, variability in demand, or supply chain disruptions.

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What is the surface area,in square centimeters,of the square pyramid

What is the surface area,in square centimeters,of the square pyramid

Answers

Answer:

56 sq cm

Step-by-step explanation:

SA = Area of Base + 1/2·(Perimeter of Base)·(Slant height)

= 4² + 1/2(4x4)(5)

= 16 + 1/2(16)(5)

= 16 + 40

= 56

I need help with this it’s geometry this is my 2nd time asking for help

I need help with this its geometry this is my 2nd time asking for help

Answers

Answer:

The measure of angle WVX is 140°.

Step-by-step explanation:

Let x be the measure of angle WVX.

\( \frac{14}{9} \pi = 2x\)

\( x = \frac{7}{9} \pi( \frac{180}{\pi}) = 140 \: degrees\)

Answer:

angle = arc length/radius
in this case, the arc length is 14/9*\(\pi\) and the radius is 2. Upon multiplying these, you get 140.

so, the answer is 140 degrees.

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