A mineral deposit along a strip of length 8 cm has density s(x) = 0.063(8 - *) g/cm for 0 << 8. Calculate the total mass of the deposit. Your answer must include units. M Water flows from the bottom of a storage tank at a rate of r(t) = 200 - 4t liters per minute, where 0

Answer:5/6

Step-by-step explanation:

simplify

Answer:

its gonna be 22.20

Step-by-step explanation:

Because you like to divide the first number and multiply it by the second

Answer:

Dividend=Divisor×Quotient+Remainder

So, Applying it:−

Let q(x),k(x) be quotient when f(x) is divided by x−1 and x−2 respectively

⇒f(x)=(x−1)q(x)+5

∴f(1)=5 ..... (1)

Also,f(x)=(x−2)k(x)+7

∴f(2)=7 ..... (2)

Now, let ax+b be the remainder when f(x) is divided by (x−1)(x−2) and g(x) be the quotient.

f(x)=(x−1)(x−2)g(x)+(ax+b)

Using (1) and (2)

5=a+b ...... (3)

7=2a+b ...... (4)

Solving (3) and (4), we get

a=2 and b=3

∴2x+3 is the remainder when f(x) is divided by (x−1)(x−2).

Answer:

Rs.11,111.11 (2 d.p.)

Step-by-step explanation:

The original price of the mobile is 100% of the price.

Therefore, the price of the mobile after a discount of 10% is 90% of the original price.

Let x be the original price.

If the price of the mobile after the discount is Rs.10000 then:

⇒ 90% of x = Rs.10000

⇒ 0.9x = 10000

⇒ x = 10000 ÷ 0.9

⇒ x = 11111.11  (2 d.p.)

M.P. =Rs 11111.1111

Answer:

Solution Given:

Selling price (S.P.) = Rs 10,000.

Discount =10%

Marked Price (M.P.)=?

we have

M.P. = S.P. + discount% of M.P.

keeping M.P. on same side

M.P. - discount% of M.P=S.P.

substituting value

M.P. - 10% of M.P.= Rs 10,000

taking common M.P.

M.P.(1-10%)=Rs. 10,000

we know that %=1/100

M.P.(1-10/100)=Rs 10,000

(9/10)M.P.= Rs 10,000

M.P.= Rs 10,000*10/9

M.P.=Rs11111.1111

Answer:

6.97674418605

Step-by-step explanation:

thats what i got .-.

Answer:

Step-by-step explanation:

Answer:

B)   x = 8\(\sqrt{3}\) ;  y = 4\(\sqrt{3}\)

Step-by-step explanation:

in a 30-60-90° triangle the sides, respectively, are in the ratio of

1 : \(\sqrt{3}\) : 2

we can find 'x' by creating this proportion:

12/\(\sqrt{3}\) = x/2

cross-multiply to get:

\(\sqrt{3}\)x = 24

x = 24/\(\sqrt{3}\)

we can simplify this by 'rationalizing the denominator' which is to

multiply numerator and denominator by \(\sqrt{3}\) to get:

(24\(\sqrt{3}\))÷3, which is 8\(\sqrt{3}\)

we know that side 'y' is half that of side 'x'

therefore y = 4\(\sqrt{3}\)

a. Angle 4 is an alternate exterior angles to angle 8.

b. Angle 3 is same-side interior angle to angle 2.

c. Angle 1 is corresponding angles to angle 3.

Corresponding angles are located on the same corner and on the same side of a transversal.

For example, in the given image below, angles 1 and 3 are corresponding angles.

Alternate exterior angles are any two exterior angles that lie on two different parallel lines but on alternate sides of the transversal that crosses the two parallel lines.

For example, in the image given, angles 8 and 4 are alternate exterior angles.

Same-side interior angles are interior angles that are located on the same side of the transversal but on different parallel lines that the transversal cuts across.

For example, angles 2 and 3 are same-side interior angles as seen in the given image.

Corresponding angles are located on the same corner and on the same side of a transversal.

For example, in the given image below, angles 1 and 3 are corresponding angles.

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An algebraic expression which models the given context would be written as s + 0.02s = 1.05s.

Price can be define as an amount of money which is primarily set by the seller of a good (product), and it must be paid by a buyer to the seller, so as to enable the acquisition of this good (product).

An algebraic expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Let s represent the price of a pair of shoes.

Therefore, an algebraic expression which models the given context would be written as follows:

s + 0.02s = 1.05s.

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The volume (V) of the solid obtained by rotating the region bounded by the curve y = (6/7)x^2 about the x-axis is V = π[((9/245)b^5) - ((9/245)a^5)].

the volume (V) of the solid obtained by rotating the region bounded by the curve y = (6/7)x^2 about the x-axis is (2/3)π[(13/7) * sqrt(13/7)] cubic units.

To find the volume (V) of the solid obtained by rotating the region bounded by the curve y = (6/7)x^2 about the x-axis, we can use the disk method. Here's a step-by-step explanation:

1. Identify the function: y = (6/7)x^2

2. Determine the limits of integration: Since we are not given specific bounds, let's assume the region is defined between x=a and x=b.

3. Set up the integral for the disk method: V = π∫[f(x)]^2 dx, where f(x) = (6/7)x^2.

4. Substitute the function and limits into the integral: V = π∫[a to b] [(6/7)x^2]^2 dx

5. Simplify the integral: V = π∫[a to b] (36/49)x^4 dx

6. Integrate to x: V = π[(9/245)x^5]∣[a to b]

7. Evaluate the definite integral: V = π[((9/245)b^5) - ((9/245)a^5)] So, the volume (V) of the solid obtained by rotating the region bounded by the curve y = (6/7)x^2 about the x-axis is V = π[((9/245)b^5) - ((9/245)a^5)].

To find the volume V of the solid obtained by rotating the region bounded by the curve y = 13/7 − x2  about the x-axis. Let us consider a region bounded by the curve y = 13/7 − x2 and the x-axis.Let us rotate this region about the x-axis to obtain a solid with a volume.The region bounded by the curve y = 13/7 − x2 and the x-axis is shown below:We need to integrate to find the volume V of the solid obtained by rotating the region bounded by the curve y = 13/7 − x2  about the x-axis. The volume of the solid is given by: V = ∫(π.y2)dx, where y = 13/7 − x2Integrating V, we get: V = π ∫ (13/7 − x2)2 dx Let us evaluate the integralπ ∫ (13/7 − x2)2 dx= π [(13/7) * x - (1/3) * x3] limits from -sqrt(13/7) to +sqrt(13/7))= π [(13/7) * sqrt(13/7) - (1/3) * (13/7)3/2] - π [-(13/7) * sqrt(13/7) - (1/3) * (13/7)3/2]= (2/3)π[(13/7) * sqrt(13/7)] cubic unitsTherefore, the volume of the solid is (2/3)π[(13/7) * sqrt(13/7)] cubic units.

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Find the values at which the rational function is undefined before you can graph it.Any values that would result in a denominator of zero for a function are undefined.

f(x) Equals x in Example 1. (x - 3).

The graph of the function.

From the given graph , the vertical asymptote is at x=2

Lets find out the vertical asymptote of each function

To find out vertical asymptote we set the denominator =0

f(x) = 1/2x

2x = 0

x= 0

The second function has vertical asymptote at x=2

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24-8 (difference) = 16

16/ 2 numbers = 8 is smallest number

8 + 8(difference) = 16 is largest number

The smaller number is 8

Step-by-step explanation:

everything can be found in the picture

The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

Population: The containers of blueberries that are being sent to Stop and Shop.

Sample: The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

Therefore, the 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.

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The probability that the first n coupons which you collect do not form a complete set is (c^n - (c-1)^n) / c^n.

To find the probability that the first n coupons collected do not form a complete set, we need to count the number of ways in which the first n coupons can be collected so that they do not form a complete set and divide it by the total number of ways in which n coupons can be collected, which is c^n.

Let S be the set of all possible complete sets of coupons. The number of ways in which the first n coupons can form a complete set is the number of ways to choose any one of the complete sets in S, multiplied by the number of ways to order the coupons within that set. There are (c choose n) ways to choose n coupons out of c, and for each complete set of n coupons, there are n! ways to order them. Therefore, the number of ways to choose n coupons that form a complete set is (c choose n) * n!.

The total number of ways to choose n coupons out of c is c^n.

So, the probability that the first n coupons collected do not form a complete set is:

P = 1 - [(c choose n) * n! / c^n]

Alternatively, we can count the number of ways in which the first n coupons can be collected so that they do form a complete set. There are (c-1)^n ways to choose n coupons out of c-1 types of coupons, and for each set of n coupons, there is exactly one way to add the missing coupon to form a complete set. Therefore, the number of ways to choose n coupons that form a complete set is c^n - (c-1)^n.

So, the probability that the first n coupons collected do not form a complete set is:

P = (c^n - (c-1)^n) / c^n

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Answer:

G=( 3, 8 )  H= ( 6, 4, )

Step-by-step explanation:

i just looked at the chart. the dots for G and H are connected to little lines at the bottom of the graph and to the side. find out the numbers and write it like your supposed to write it.

Step-by-step explanation:

0.00451

\( = \frac{451}{100000} \)

\( = \frac{4.51}{1000} \)

\( = \frac{4.51}{ {10}^{3} } \)

\( = 4.51 \times {10}^{ - 3} (option \: a)(ans)\)

The required scientific notation  is A. 4.51x10⁻³  is equivalent to 0.00451. It's in scientific notation where 4.51 is between 1 and 10, and -3 is the exponent representing the decimal shift.

In scientific notation, a number is written in the form of "a × 10ⁿ" where "a" is a number between 1 and 10 (including 1 but excluding 10), and "n" is an integer exponent.

The goal is to represent the number in a more compact form using powers of 10.

0.00451

To express this in scientific notation, we need to find "a" and "n" such that "a × 10ⁿ" equals 0.00451.

The option A, 4.51 × 10⁻³ is the correct choice because:

"a" is 4.51, which is between 1 and 10.

"n" is -3, as we are shifting the decimal point three places to the left to convert 0.00451 to 4.51 × 10⁻³.

Therefore, 0.00451 is equivalent to  scientific notation option A. 4.51 × 10⁻³, which is option A.

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In this instance, a sample size of 393 adults who live in homes without landlines and use cell phones would be required.

Picking the number of observations or replicates to include in a statistical sample is known as sample size determination. Any empirical study whose objective is to draw conclusions about a population from a sample must take into account the sample size. In reality, a study's sample size is typically chosen based on the expense, convenience, or time required to collect the data as well as the requirement that the sample size have a high enough statistical power. There could be a variety of sample sizes used in complex studies; for instance, there might be different sample sizes for each stratum in a stratified survey. The intended sample size for a census is equal to the population because the entire population's data is being sought.

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Answer:

20

Step-by-step explanation:

5(x-1)

Replace x with its value.

5(5-1)

Solve parenthesis first.

5(4)

Multiply.( multiply 5 times 4)

20

Answer:

Answer:

Hi i just saw your question about giving away bloxburg money . I was asking for help with money and looking up bloxburg while waiting. Within 5 minutes SNOG deleted not 1 but 2 questions there were nothing wrong with them either. Please can you help me by donating so I can give my sister and I a good bloxburg house?

I kno wu need help but Im sorry for answering it with this but I had to find your latest question to find you PLEASE HELP ME!!! I will find some way to repay you!

Answer:

x=52/15 - 61* 23/15

Step-by-step explanation:

Answer:

decimal form: 10.7 Exact form:107/10

A person's net worth is the difference between a person's assets and liabilities. Therefore, the correct option is C.

Net worth is calculated by subtracting the total amount of a person's liabilities (debts and obligations) from the total value of their assets (everything they own). It represents the value of an individual's assets after all debts and obligations have been paid off. This gives a clear picture of an individual's financial position, as it shows their overall wealth after accounting for any outstanding debts.

A person's liability (option A) represents what they owe to others, while the difference between a person's income and expenses (option B) is their savings or deficit for a given period, and it does not necessarily reflect their overall net worth. The value of a person's home (option D) is just one asset that contributes to their net worth, but it does not account for all of their assets and liabilities.

Hence, the statement which best describes a person's net worth is option C: the difference between a person's assets and a person's liabilities.

Note: The question is incomplete. The complete question probably is: Which of the following best describes a person's net worth? A) a person's liability B) difference between a person's income and a person's expenses C) difference between a person's assets and a person's liabilities D) The value of a person's home.

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The rate of change of the radius is 2.75 ft/min

Given

Rate of sand falling on conical pile = 8 ft³/min

Height of pile = 3 times the radius

Radius = 5.5 ft

We can calculate the rate of change of the radius by using the formula for the volume of a cone.

The volume of a cone is given by V = (1/3)πr²h, where r is the radius of the cone and h is the height of the cone.

We can rewrite this equation as 3V = πr²h.

We know that the height of the pile is always 3 times the radius, so we can substitute h = 3r into the equation and get  3V = 3πr³

We know the volume and the rate of sand falling on the pile, so we can substitute V = 8 ft³/min and solve for r.

3(8 ft³/min) = 3πr³

3πr³ = 24 ft³/min

r³ = 8 ft³/min/3π

r = \((8 ft³/min/3π)^(1/3)\)

Now that we know the radius, we can use the slope formula to calculate the rate of change of the radius.

The slope formula is given by m = (y2 - y1)/(x2 - x1).

In this case, x1 = 5.5 ft, x2 = 5.51 ft, y1 = \((8 ft³/min/3π)^(1/3)\), and y2 = \(((8 + 1) ft³/min/3π)^(1/3)\). So,

\(m = ((( 8 + 1 ) ft³/min/3π)^(1/3) - (8 ft³/min/3π)^(1/3))/ (5.51 ft - 5.5 ft)\)m = 2.75 ft/min

Therefore, the rate of change of the radius is 2.75 ft/min.

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The pool will have approximately 12,555 gallons of water left in it after 12 days.

To find out how many gallons of water will be left in the pool after 12 days, given that it evaporates at a rate of 2% per day and has 16,000 gallons today, follow these steps:

1. Determine the rate of water remaining in the pool each day:

Since the pool loses 2% of water daily, the remaining percentage is 100% - 2% = 98%.

In decimal form, this is 0.98.

2. Calculate the amount of water after 12 days:

To do this, raise the daily remaining water rate (0.98) to the power of the number of days (12):

0.98¹² ≈ 0.7847.

This represents the percentage of water remaining in the pool after 12 days.

3. Multiply the initial water amount (16,000 gallons) by the percentage of water remaining after 12 days (0.7847):

16,000 * 0.7847 ≈ 12,555 gallons.

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a) The amount of water in the pool after 2 hours can be calculated using the equation.

Water in pool = 10L/hour × 2 hours = 20L.

b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.

Solving for Time, we find Time = 8 hours.

c) Part b) is linear.

a) To calculate the amount of water in the pool after 2 hours, we can use the equation:

Water in pool = Water filling rate × Time

Since the pool gets filled up with 10L of water per hour, we can substitute the values:

Water in pool = 10 L/hour × 2 hours = 20L

Therefore, after 2 hours, there will be 20 liters of water in the pool.

b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:

Water in pool = Water filling rate × Time

We want the water in the pool to be 80 liters, so the equation becomes:

80L = 10 L/hour × Time

Dividing both sides by 10 L/hour, we get:

Time = 80L / 10 L/hour = 8 hours

Therefore, it will take 8 hours for the pool to contain 80 liters of water.

c) Part b) is linear.

The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.

Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.

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Step-by-step explanation:

How to solve your problem

(x+5)=x

Solve

1

Subtract

5

from both sides

x+5=x

x+5

2

Simplify

Subtract the numbers

x=x-5

3

Subtract

x

from both sides

x=x-5

Simplify

Combine like terms

Combine like terms

0=-5

Result

0=-5

The input is a contradiction: it has no solutions

Answer:

x=x-5 or 0=-5

Step-by-step explanation:

subtract 5 from both sides

x - 12 = 18 is the the equation that represents ."Twelve less than a number, ×, is 18."

given the number is x

the equation of the given statement

x - 12 = 18

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Answer:

A

Step-by-step explanation:

ok so pretend the 2.00 was just 2 so whats 8 divided by 2? 4 right so if we test that witht he other problems its the same so its A

Hope this helps!!!!     :D

8 students made 4 mistakes or more

Answer:

The expression Barak could use to find the amount he will spend to feed his pet lizards for one day = Number of pets × number of crickets per pet × cost of each crickets

Step-by-step explanation:

Pet lizards = 4

Each lizard eats 5 crickets

4 pet lizards will eat = 4 × 5 crickets

= 20 crickets

A cricket = 12 cents

That is, $0.12

Cost of 20 crickets = 20 × $0.12

= $2

The expression Barak could use to find the amount he will spend to feed his pet lizards for one day

= Number of pets × number of crickets per pet × cost of each crickets

= (4) (5) (0.12)

= $2.4

Answer:

The van arrived back at Town A at 17:18  (5:18 PM)

Step-by-step explanation:

Let x be the distance between Towns A and B.

Lets calculate the distance travelled from the first trip to Town B.  We have the time travelled and the van's intital speed of 35 km/h.  We know that:

Distance(or x)= (Speed)*(Time)

Speed is in units of km/hour, so time must also be in hours.  The time between 7:42 and 8:54 is 72 minutes.  Convert that to hours using the conversion factor (1 h/60 min)

(72 min)*(1 h/60 min) = 1.2 hour

x = (Speed)*(Time)

x = (35 km/h)*(1.2 h)

x = 42 km   [The distance between Towns A and B]

Returning to Town A, the van's speed  decreased by 11 km/h. making the speed 24 km/h for the return trip.  Use the same calculation as above to calcuate the time for travel on the return from B to A:

Distance = (Speed)*(Time)

We now know the disance, 42 km, and the speed, 24 km/h, so we can solve for time:

  Time = (Distance)/(Speed)

  Time =  (42 km)/(24 km/h)

  Time =   1.75 hours or 1 hr and (0.75)*(60 min)

             =    1 hr and 45 min

 The van left at 15:33 or 15 + 33 minutes

Add the return travel time to the leaving time:

   15 hr + 33 minutes

+   1 hr + 45 minutes

   16 hr  + 78 minutes

or 17 hr + 18 minutes

 The van will arrive at 17:18  (5:18 PM)