Water flows back and forth between a small and large tank. When water is moving into a tank the flow rate is positive,
and when water is moving from a tank the flow rate is negative. The large tank begins with 300 gallons of water, and th
small tank begins with 200 gallons of water. After a period of 5 minutes, the large tank has the same amount of water as
the small tank. Which statement describes the flow rate?

Answer:

A

Step-by-step explanation:

you just need to divide $7.65 by 3

Answer: The answer is A

Each box cost $2.55

Step-by-step explanation:

7.65 divided by 3 = to 2.55

Step-by-step explanation:

the solution to a system of functions (lines or any other form of curve) is the point (or points), where they intersect.

in this case : the point (2, 0)

FYI : if there is no intersection, then there is no solution at all (like with parallel lines).

if the curves fully overlap for at least some distance, then we have infinitely many solutions (at least for real numbers). like for identical lines.

Answer:

the answer is 14

Step-by-step explanation:

\(1 \div 2b \times h = 1 \div 2 \times 20 \times b = 140 \: so \: base \: = 14\)

hope this helped

The sum of the bases of a trapezoid using height is 20 cm is 14 cm.

Thus, option (A) is correct.

The formula to calculate the area of a trapezoid is given by:

Area = 1/2 x height x sum of bases

Given that the area is 140 cm² and the height is 20 cm.

Now, rearrange the formula to solve for the sum of the bases:

Sum of bases =  (2 x Area) / (height)

Substitute the given values:

Sum of bases =  (2 x 140) / (20)

                       = 14

So, the sum of the bases is 14 cm.

Thus, option (A) is correct.

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Answer:

225 cubic centimeters

Step-by-step explanation:

Volume = LWH

15*5*3 = 15*15 = 225

Answer:

8:15:30

Step-by-step explanation:

8:15:30 a.m hope I helped ;)

Answer:A=OE+L

Step-by-step explanation:

880000=51000+L

Liabilities=370000

680000=2x

The amount of its equity of 340000 for the second problem

Answer:3,000

Step-by-step explanation:

The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.

Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt),

where:

A is the total value of the loan,

P is the principal amount (initial loan amount),

r is the interest rate (in decimal form),

n is the number of times interest is compounded per year,

and t is the number of years.

Given:

P = $20,000,

r = 9% or 0.09,

n = 4 (quarterly compounding),

t = 10 years.

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/4)^(4*10).

Calculating this value, we find:

A ≈ $45,288.38.

Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.

Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:

n = 12 (monthly compounding).

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/12)^(12*10).

Calculating this value, we find:

A ≈ $45,634.84.

Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.

Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.

For the loan with quarterly compounding:

Total interest = Total value - Principal

Total interest = $45,288.38 - $20,000

Total interest ≈ $25,288.38.

For the loan with monthly compounding:

Total interest = Total value - Principal

Total interest = $45,634.84 - $20,000

Total interest ≈ $25,634.84.

The difference between the total interest accrued on each loan is approximately $346.46.

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Answer:

A. AB = AC because of the definition of an isosceles triangle

B. ∠B = ∠C because corresponding parts of congruent triangles are congruent.

D. BM = CM because of the definition of a midpoint

Step-by-step explanation:

A. An isosceles triangle is a triangle with two equal sides, hence:

AB = AC because of the definition of an isosceles triangle. option A is correct.

D. Since Point M is drawn as the midpoint of BC, hence:

BM = CM because of the definition of a midpoint. Option D is correct.

E. Reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself. hence AM ≈ AM because of reflexive property.

AM ≈ AM because of the Symmetric Property is wrong. Option E is wrong.

C) The side - side - side (SSS) triangle congruence theorem states that if all the sides of two triangles are equal, then they are congruent triangles.

Since BM = CM, AM = AM and AB = AC, hence ΔABM = ΔACM because of the SSS triangle congruence criterion

ΔABM = ΔACM because of the SAS triangle congruence criterion is wrong. Option C is wrong.

D. Corresponding parts of congruent triangles are congruent. hence:

∠B = ∠C because corresponding parts of congruent triangles are congruent. Option B is correct

Answer:

Step-by-step explanation:

the consecutive are 39,40,41 and the smallest here is 39

Hope this helped

Answer:

a

Step-by-step explanation:

Answer:

72.3

Step-by-step explanation:

Given that:

The arithmetic sequence:

\(\sum \limits ^{14}_{k=0} (3 + 0.26k)\)

The first term of the sequence \(a_0\) = 3 since k = 0

i.e (3 + 0.26(0)) = 3

The last term of the sequence \(a_{14}\) = 6.64

i.e (3+ 0.26(14)

= (3 + 3.64)

= 6.64

Total no of terms = 15 i.e from 0 to 14

∴

The partial sum of the arithmetic sequence = \(\dfrac{Total \ no \ of \ terms }{2} \times (a_o+a_{15})}\)

\(=\dfrac{15 }{2} \times (3+6.64)}\)

= 72.3

Answer:

i think probably x = 10

Step-by-step explanation:

sin(60°) = 5√3/x

√3/2 = 5 √3/x

√3 x = 10√3

x = 10

Answer:

t= −121

Step-by-step explanation:

Answer:30.3

Step-by-step explanation:

30.3% is the probability that a data value in a normal distribution is between a z-score of -1.52 and a z-score of -0.34.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

We can use a standard normal distribution table or calculator to find the probability that a data value falls between two given z-scores.

The probability of a data value being between a z-score of -1.52 and a z-score of -0.34 is equal to the area under the standard normal distribution curve between these two z-scores. We can find this area by subtracting the area to the left of -0.34 from the area to the left of -1.52:

P(-1.52 < z < -0.34) = P(z < -0.34) - P(z < -1.52)

Using a standard normal distribution table or calculator, we can find that P(z < -0.34) is approximately 0.3665 and P(z < -1.52) is approximately 0.0643. Therefore, the probability of a data value being between a z-score of -1.52 and a z-score of -0.34 is:

P(-1.52 < z < -0.34) = 0.3665 - 0.0643 = 0.3022

Rounding this answer to the nearest tenth of a percent, we get:

P(-1.52 < z < -0.34) ≈ 30.2%

Therefore, the closest answer choice is B, 30.3%.

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Answer:

yes,

Step-by-step explanation:

Homeomorphic sets :-

Two sets are homeomorphic if define a function f between both sets which is satisfy the following conditions:

\((i)\)  Function f is a bijection (one-to-one and onto),

\((ii)\)  Function f is continuous,

\((iii)\)  Inverse function of f is also continuous.

example:

Let \(f:[0, 2\pi)\rightarrow s^1\)given by \(f(x)=(\cos x, \sin x)\) where \(f(x)\) is a continuous and bijection fuction but inverse of fuction f is discontinuous.

Hence, set  \([0,2\pi)\) and \(s^1\) are not homeomorphic.

The set of side measurements that could be used to form a right triangle is

The problem is solved using the Pythagoras theorem is applicable to right triangle.  

the formula of the theorem is

hypotenuse² = opposite² + adjacent²

the set of sides that adheres to this theorem can form a right triangle

plugging the values as in the problem  6, 8, 10

say side 10 = x

x² = 6² + 8²

x² = 36 + 64

x² = 100

x = √100

x = 10

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Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

Answer:

Step-by-step explanation:

Lets simplify this step by step

5(2x+2)+3x+6

Distribute:

=(5)(2x)+(5)(2)+3x+6

=10x+10+3x+6

Combine Like Terms:

=10x+10+3x+6

=(10x+3x)+(10+6)

=13x+16

13x+16

Based on the plot, the number of practice puzzles per week that members solve if they finish the contest puzzle

in one hour is c 4

The line of best fit for the scatter plot shows that there is a positive correlation between the number of practice puzzles solved per week and the time it takes to solve a contest puzzle. This means that as the number of practice puzzles solved per week increases, the time it takes to solve a contest puzzle decreases.

If a member finishes a contest puzzle in one hour, they are on the line of best fit. This means that they solve approximately 4 practice puzzles per week.

The other options are incorrect. Option a is too high, option b is too low, and option d is not on the line of best fit.

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Answer: so yea its the first one. im not that sure im just like saying what I know

Step-by-step explanation:

The total length of the nylon rope that Jamie will use would be 15.3 feet of nylon rope.

Within this scenario specifically, one side of the right-angled triangle comprises the height of the tent (standing at 6.5-feet), and the other forms as the measure from the center of the tent to where Jaime stakes the ropes stretching outwards in another direction (with a calculated measure of 4-feet). Subsequently, we will refer to the extent of the nylon rope as R.

The Pythagorean theorem formula is:

R ² = 6.5 ² + 4 ²

R ² = 42. ²25 + 16

R ² = 58.25

R = 7. 63 ft

There are two ropes so the length would be :

= 7. 63 + 7. 63

= 15. 3 ft

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Answer:

10

Step-by-step explanation:

5*2 is 10

Answer:

30 minutes is half of an hour

so multiply both 30 and 5 by 2

So for every hour, Jenny hikes 10 kilometers

Answer:

F.o.r.t.n.i.t.e, M.i.n.e.c.r.a.f.t, smash bros, and so on

Step-by-step explanation:

:)

So, 3,280 liters of water flows from the tank between the 14 minute mark and the 34 minute mark.

In mathematics, a function is a rule or relationship that assigns a unique output or value for each input or value in its domain. In other words, a function is a mathematical object that takes an input value and produces a corresponding output value. Functions are commonly denoted by f(x), where x represents the input value, and f(x) represents the corresponding output value.

Here,

To find the amount of water that flows from the tank between the 14 minute mark and the 34 minute mark, we need to find the difference between the amount of water at the 14 minute mark and the amount of water at the 34 minute mark. At the 14 minute mark, t = 14, so we can substitute this value into the equation to get:

R(14) = 8000 - 250(14) + 2(14)²

R(14) = 5,720 liters

At the 34 minute mark, t = 34, so we can substitute this value into the equation to get:

R(34) = 8000 - 250(34) + 2(34)²

R(34) = 2,440 liters

Therefore, the amount of water that flows from the tank between the 14 minute mark and the 34 minute mark is:

R(14) - R(34) = 5,720 - 2,440

R(14) - R(34) = 3,280 liters

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The correct statement is: g(x) is translated up 5 units compared to f(x).

The correct answer is A.

The correct answer is A.

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The motivations for producers and consumers in the black market are largely driven by financial incentives and a desire to avoid legal consequences.

The black market refers to the illegal trade of goods and services that are not permitted by law, such as drugs, counterfeit items, and stolen goods. Producers and consumers in the black market are motivated by a variety of factors, including:

High profits, Producers in the black market can earn higher profits than they would in legal markets due to the lack of regulation and taxes.

Escaping legal consequences: Producers and consumers may participate in the black market to avoid legal consequences, such as fines or imprisonment, for engaging in illegal activities.

Limited availability, Some goods and services are only available on the black market due to legal restrictions or limited supply.

Low prices, Consumers in the black market can often purchase goods and services at lower prices than in legal markets due to the lack of taxes and regulations.

Desire for anonymity, The black market can provide anonymity for both producers and consumers, allowing them to engage in illegal activities without fear of detection or retribution.

However, participating in the black market also comes with significant risks, including the possibility of arrest, fines, and even violence.

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Answer:

35 degrees

Step-by-step explanation:

Proving that Triangle CDA is congruent to triangle CDB below:

Congruent triangles can be defined as triangles that have the same size and shape.

A congruent triangle, corresponding angles are equal also the corresponding sides are equal.

In conclusion, the proof that Triangle CDA is congruent to triangle CDB is given above

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Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.