What would the ratio be if you partition a line segment at point?

Answer:

46 total

Step-by-step explanation:

32 on large bus

30% on small bus

32 =70%

100%=32/70 x(100)=46

If Q(t)= C/4t - 1 an equation for Q-¹(t) is y = C + t/4t.

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used.

Given,

Q(t) = C/4t -1

Put a "y" in place of the "Q(t)":

y = C/4t -1

Change the t and y since each (t, y) has a corresponding (y, t) companion.

t = C/4y -1

Distribute t by multiplying into the bracket to find y.

t × 4y -1 = C

t × 4y - t = C

Add both sides of the equation together now.

t × 4y = C +t

4t divided by both sides

y = C + t/4t

If Q(t)= C/4t - 1 an equation for Q-¹(t) is y = C + t/4t.

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Answer:

2x - 6 ≥ 6(x-2) + 8

2x - 6 ≥ 6x - 12 + 8

6x - 2x ≤ - 6 + 4

4x ≤ -2

4x/4 ≤ -2/4

x ≤ -1/2

Interval Notation: (- ∞, -1/2]

The line starts from -1/2 with the arrow going to the left (decreasing). The endpoint or value from where it started, which is -1/2, should be shaded.  The inequality symbol x ≤ -1/2 represents the values at most or maximum -1/2.

Step-by-step explanation:

The number line representing the solution set for the inequality given is option C.

The inequality is 2x - 6 ≥ 6(x-2) + 8,

Solving for x,

2x - 6 ≥ 6(x-2) + 8

2x - 6 ≥ 6x - 12 + 8

6x - 2x ≤ - 6 + 4

4x ≤ -2

4x/4 ≤ -2/4

x ≤ -1/2

Therefore, the Interval Notation is (- ∞, -1/2]

This means that the all the values of x will be less than -1/2 or equal to it,

Therefore, the graph will be, the line starts from -1/2 with the arrow going to the left (decreasing).

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Answer:

500

Step-by-step explanation:

The probability that the driver has no accidents in the next 365 days, but then has at least one accident in the 365-day period that follows this initial 365-day period, is approximately 0.204.

Let X be the time until the next accident for the driver. We know that X is exponentially distributed with a mean of 200 days, which means that its probability density function (PDF) is:

\($f(x) = \frac{1}{200} e^{-\frac{x}{200}} \text{ for } x > 0$\)

We want to calculate the probability that the driver has no accidents in the next 365 days (i.e., from day 0 to day 365), but then has at least one accident in the 365-day period that follows (i.e., from day 366 to day 730). We can express this probability as:

P(no accidents in first 365 days) * P(at least one accident in next 365 days | no accidents in first 365 days)

The probability of having no accidents in the first 365 days is simply the cumulative distribution function (CDF) of X evaluated at x = 365:

\($F(365) = \int_{0}^{365} f(x) dx = 1 - e^{-\frac{365}{200}} \approx 0.451$\)

The probability of having at least one accident in the next 365 days, given that there were no accidents in the first 365 days, can be calculated using the memoryless property of the exponential distribution:

P(at least one accident in next 365 days | no accidents in first 365 days) = P(X < 365) = F(365) ≈ 0.451

Therefore, the probability we are interested in is:

P(no accidents in first 365 days) * P(at least one accident in next 365 days | no accidents in first 365 days)

= 0.451 * 0.451 ≈ 0.204

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Answer:

x = 1

Step-by-step explanation:

Both equations can be set equal to each other since they are both equal to y:

\(x-10=-4x-5\\5x-10=-5\\5x=5\\x=1\)

equate both equations !

x - 10 = -4x - 5

5x - 10 = -5

5x = 5

x = 1

therefore x = 1

The scaling assumptions underlying a question determine which descriptive measure is appropriate.

The descriptive degree can be defined as the sort of measure handling the quantitative information in a mass that famous certain preferred characteristics. The descriptive measure has different types, all depending on the one-of-a-kind characteristics of the statistics. One very critical degree is the correlation coefficient, now and again referred to as Pearson's r. The correlation coefficient measures the diploma of linear association between two variables.

A statistic is a numerical descriptive degree computed from sample information. A parameter is a numerical descriptive measure of a populace. Descriptive facts encompass measures of the count, together with; frequencies and chances, measures of vital tendency including; imply, median, and mode, measures of variability including; trendy deviation, variance, and kurtosis, and measures of role, along with; percentiles and quartiles.

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a. the function V(t) = 5 + 3t represents the volume of water in the tank after t minutes. b. there will be 53 m³ of water in the tank after 16 minutes. c. it will take 37 minutes before the tank holds 116 m³ of water.

(a) Suppose at t = 0, the tank already contains 5 m³ of water. A function giving the volume of water in the tank after t minutes is V(t) = 5 + 3t.

The initial volume of water in the tank is given as 5 m³. Since water is being filled into the tank at a rate of 3 m³ per minute, we can express the volume of water in the tank as a function of time, t, by adding the initial volume of 5 m³ to the rate of change, 3t. Thus, the function V(t) = 5 + 3t represents the volume of water in the tank after t minutes.

(b) To find the volume of water in the tank after 16 minutes, we can substitute t = 16 into the function V(t) = 5 + 3t:

V(16) = 5 + 3(16)

= 5 + 48

= 53 m³

Therefore, there will be 53 m³ of water in the tank after 16 minutes.

(c) To determine how long it will take before the tank holds 116 m³ of water, we need to find the value of t when V(t) = 116:

5 + 3t = 116

Subtracting 5 from both sides:

3t = 111

Dividing both sides by 3:

t = 37

Therefore, it will take 37 minutes before the tank holds 116 m³ of water.

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♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The slope-intercept form :

\(y = mx + b\)

Thus :

\(y = - 4x + \frac{9}{4} \\ \)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

To find f(5), we need to use the fundamental theorem of calculus. Firstly, we integrate f'(x) to get f(x) + C, where C is the constant of integration. Then, we use the given value of f(2) to find the value of C. Finally, we substitute the value of f(x) in the equation to find f(5).

The fundamental theorem of calculus states that the derivative of an integral is the original function. In other words, if f'(x) is the derivative of f(x), then f(x) = ∫f'(x)dx + C, where C is the constant of integration.

In this question, we are given f'(x) = √(1+2x^3) and f(2) = 0.4. Integrating f'(x) with respect to x, we get f(x) = ∫√(1+2x^3)dx + C. To solve this integral, we can use u-substitution with u = 1 + 2x^3. Then, du/dx = 6x^2 and dx = du/6x^2. Substituting these values, we get

f(x) = (1/6)∫u^(1/2)du = (1/9)u^(3/2) + C = (1/9)(1 + 2x^3)^(3/2) + C

Using the given value of f(2) = 0.4, we can solve for C:

f(2) = (1/9)(1 + 2(2)^3)^(3/2) + C = 0.4
C = 0.4 - (1/9)(9) = 0

Finally, substituting C and x = 5 in the equation for f(x), we get

f(5) = (1/9)(1 + 2(5)^3)^(3/2) = 28.605

Therefore, the answer is (B) 28.605.

To find the value of f(5), we used the fundamental theorem of calculus to integrate f'(x) and find f(x) + C. Then, we solved for C using the given value of f(2) and substituted C and x = 5 to find f(5). The final answer is (B) 28.605.

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Answer:

A complex sentence is a sentence with one independent clause and at least one dependent clause. It works best when you need to provide more information to explain or modify your sentence's main point

Step-by-step explanation:

oye mughe pata hai me koi friend banega ka puc rahi thi

Answer:

20

Step-by-step explanation:

\(3(x-9)-(3x+7) \\ \\ =3x-27-3x-7 \\ \\ =20\)

Answer:

I took this test twice and got it wrong both times, the INCORRECT answers that I choose where A and D. So the correct answer has to be B or C.

Step-by-step explanation:

Please like and rate my answer if this was helpful to you! :)

This is the true statement  ΔADB≅ΔBDC

Two triangles are said to be congruent if their corresponding sides and angles are equal.

In Δ ADB,

∠D = 90°

∠B = 90°/2 = 45°

∠A = 180° - 90° - 45° = 45°

So ΔADB is 90-45-45 triangle.

In ΔBDC,

∠ ? = 90°   This is supplementary to Angle D.

∠ B = 90°/2 = 45°

∠ C = 180° - 90° - 45° = 45°

So, ΔBDC is also a 90-45-45 triangle.

Hence,  ΔADB≅ΔBDC

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The question seems to be incomplete, the correct question would be :

Which statement is necessarily true if BD is an altitude to the hypotenuse of right ΔABC?

A.) ΔADB≅ΔBDC

B.) ΔADB~ΔBDC

C.) ABBC=ACBD

D.) ∠BAC≅∠BDC"

Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

The correct answer is D. Standard deviation is a numerical indicator of how widely dispersed possible values are distributed around the mean.

It is a common measure used to assess the variability or spread of a set of data points. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean. The standard deviation is an important statistical tool in many fields, including finance, economics, and engineering.

Standard deviation is a measure of variation or dispersion between values in a set of data. It is a numerical indicator of how widely dispersed possible values are distributed around the mean (or expected value), μ. The lower the standard deviation, the closer the data points tend to be to the mean

Standard deviation is a numerical indicator of how widely dispersed possible values are distributed around the mean. It is a commonly used measure to quantify the amount of variation or dispersion in a set of data values.

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Standard deviation is a statistical measure that quantifies the amount of variability or dispersion in a set of data values.

Number indicating how widely spread out possible values are from the mean. The correct answer is D.

It is calculated as the square root of the variance, which is the average of the squared differences between each data point and the mean. Standard deviation provides information about how closely the data points are clustered around the mean, and a larger standard deviation indicates a greater dispersion or variability of the data points from the mean. In other words, it is a measure of how widely the possible values are distributed around the mean.

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The best summarizes for the result is:

O There is a moderate negative correlation between the variables.

A correlation coefficient measures the strength and direction of the relationship between two variables. The coefficient ranges from -1 to 1, with -1 indicating a perfect negative correlation, 0 indicating no correlation, and 1 indicating a perfect positive correlation.

In this case, the correlation coefficient of -0.524 indicates a moderate negative correlation between the variables. This means that as the value of one variable increases, the value of the other variable decreases, and vice versa. The negative sign indicates that the relationship is negative, and the absolute value of the coefficient (0.524) indicates that the relationship is moderate in strength.

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Answer:

25

Step-by-step explanation:

Given,

Measurement of <1 = x + 10

Measurement of <2 = 4x + 5

Also, said in the question that both these angles are complementary.

Therefore, by the problem,

<1 + <2 = 90°

=> x + 10 + 4x + 5 = 90

=> x + 4x + 10 + 5 = 90

=> 5x + 15 = 90

=> 5x = 90 - 15 = 75

\( = > x = \frac{75}{5} \)

=> x = 15

Now, we have got the value of x so,

Measurement of <1 is

<1 = x + 10 = 15 + 10 = 25 (Ans)

Answer:

Step-by-step explanation:

Part A

\(V=\pi r^2h=\pi *2.5^2*7.5=147.26\\=147in^3\\\)

Part B

\(r=\sqrt{\frac{V}{\pi h} } \\=\sqrt{\frac{75}{\pi *6} } \\=1.99\\=2in\)

The real square roots of 1/100 are ±1/10. To find them, take the square root of both sides of the equation x^2 = 1/100, simplify, and consider the positive values.

To find the real square roots of 1/100, we need to find the values of x that satisfy the equation x^2 = 1/100.

1. Take the square root of both sides of the equation:
√(x^2) = √(1/100)

2. Simplify:
|x| = 1/10

3. Since the square root of a number is always positive, we can conclude that the real square roots of 1/100 are ±1/10.

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Answer: you add 1/6 each time and add the hour until you get 2/3

Step-by-step explanation: 1/6=1 1/3=2 and you keep going

Answer:

You can use the number line to find how many hours it will take the company to build the fence by multiplying whatever number you land on by 6

Step-by-step explanation:

If they build one mile of fence, it took 6 hours to build that much

If they build three miles of fence, it took them 18 hours to build that much

And so on and so forth

Answer:

25:14

Step-by-step explanation:

there are 39 total marbles, and 14 are purple or yellow, so the remaining orange marbles are 25.

(Hope it helps :) )

Answer:

There is an infinite number of solutions.

Step-by-step explanation:

Let's say there is a total of 30 marbles.

The number of pink marbles then is 9.

There are 11 purple marbles.

There are 3 yellow marbles,

9 + 11 + 3 = 23 and 30 - 23 = 7

There are 7 orange marbles.

The ratio of orange to total is 7:30.

Now let's say there is a total of 60 marbles.

The number of pink marbles then is 18, keeping the 9:30 ratio.

There are 11 purple marbles.

There are 3 yellow marbles,

18 + 11 + 3 = 32 and 60 - 32 = 28

There are 28 orange marbles.

The ratio of orange to total is 28:60 = 7:15.

This problem has different answers depending on the total number of marbles, so it cannot be solved for a unique solution.

Answer: Midpoint = 0

Explanation:

The midpoint of segment ED can be calculated as:

Where E and D are the coordinates of E and D respectively.

So, replacing E by 2 and D by -2, we get:

Therefore the midpoint of segment ED is equal to 0.

The man invested 37900 dollars at 6% and 28022 dollars at 10%.

What is the interest?

The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned.

Let x be the amount invested at 6% and y be the amount invested at 10%. We know that:

x + y = total amount invested

0.06x + 0.1y = 9878 (annual interest)

and that y = 2x (because he put twice as much in the lower-yielding account).

Now we can use the second equation to find x:

0.06x + 0.1(2x) = 9878

0.06x + 0.2x = 9878

0.26x = 9878

x = 37900

Now we can use the first equation to find y:

x + y = total amount invested

37900 + y = total amount invested

y = total amount invested - 37900

We know that the annual interest is $9878, so we can substitute that value into the equation:

y = 9878 - 37900

y = -28,022

So the man invested 37900 dollars at 6% and -28022 dollars at 10%. However, the answer to the second value is not a real value as the investment cannot be negative.

Therefore, the man invested 37900 dollars at 6% and 28022 dollars at 10%.

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Answer:

Step-by-step explanation:

The probability of a continuous random variable taking any specific value is always zero, so the statement p(x = 15) = 0.05 is false.

Step-by-step explanation:

Option D

As time increases, the temprature of soup decreases..

hope it helps

The given statement is false because In programming, the break and continue statements serve different purposes and can be used independently or together within nested loops.

The break statement is used to exit the current loop prematurely. When encountered, it terminates the loop and continues with the next statement after the loop. This can be useful when a specific condition is met, and you want to stop the execution of the loop immediately.

The continue statement, on the other hand, is used to skip the current iteration of a loop and move on to the next iteration. It allows you to skip certain iterations based on a specific condition without terminating the entire loop.

Both break and continue statements can be used within nested loops. In such cases, the break statement will exit only the innermost loop it is placed in, while the continue statement will skip to the next iteration of the innermost loop.

By using break and continue strategically within nested loops, you can control the flow of execution based on specific conditions. This flexibility allows you to fine-tune the behavior of your program and optimize its efficiency.

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Note : This is a computer science question

Answer:

43.6 (approximately)

Step-by-step explanation:

Diagonal measures of the screen is,

√(35²+26²)

= √(1901)

= 43.6 (approximately)

Answered by GAUTHMATH

We calculate the dioglonal using the Pythagorean theorem

\(\displaystyle\ C^2=A^2+B^2=> C=\sqrt{A^2+B^2} \ then \\\\C=\sqrt{26^2+35^2} =\sqrt{1225+676} =\sqrt{1901} \approx43.6\\\\Answer : the \:diagonal \:\:length is \:\underline{43.6}\)

f(x) = 0.47x + 0.21(x-1), where x ≤ 3.5

Answer:

2x^2+4x+11

Step-by-step explanation:

Measurements need to be made every \(\frac{1}{2}\)times a month to find an overestimate and an underestimate for the number of pollutants that escaped during the first six months which differ by exactly 1 ton from each other.

Let's assume that measurements are made every 'x' time period. Then, the total number of measurements made in 6 months would be \(6/x\). Let's consider the scenario where an overestimate of the quantity of pollutants is made. In this case, the actual quantity of pollutants would be less than the estimated value. Let's assume the overestimate is 'O' tons.

Similarly, in the scenario where an underestimate is made, let's assume the actual quantity of pollutants is greater than the estimated value by 'U' tons.

Given that the difference between the overestimate and underestimate is 1 ton, we can write:\(O - U = 1\)

Now, we know that the total amount of pollutants that escaped during the first six months is constant. Let's assume the actual value of the quantity of pollutants that escaped during the first six months is 'Q' tons. Then, we can write\(Q = O + U + E\)

Here, E represents the estimation error, which is the difference between the actual quantity of pollutants that escaped and the estimated value. Since the overestimate is greater than the actual value, E is negative. Similarly, since the underestimate is less than the actual value, E is positive.

We can rewrite the above equation as:\(E = Q - O - U\)

Substituting the value of O - U = 1, we get:\(E = Q - (O + U)\)

We need to find the value of 'x' such that the absolute value of E is exactly 1 ton.

Let's assume that the estimated value of Q is equal to the actual value of Q. In this case, we can write:\(Q = 2E\)

Substituting the value of E, we get:\(Q = 2(Q - (O + U))\)

Simplifying this, we get:\(O + U = Q/2\)

Substituting the value of Q = 12 (since we are considering the first 6 months), we get:\(O + U = 6\). Since we know that \(O - U = 1,\) we can solve for O and U to get:

\(O = 3.5U = 2.5\)

Now, substituting the values of O and U, we get:\(E = Q - (O + U) = 6 - (3.5 + 2.5) = 0\)

This implies that the estimated value of Q is equal to the actual value of Q, and there is no estimation error.

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