Convert your answer from 3 to meters per second. (HINT) 250,000/3600

Answer:

29.68

Step-by-step explanation:

If you are rounding to the hundredth place, you take the number in the hundredth place and round it. If it is less than five, for example, if you were rounding 29.674 then it would be 29.67 because 4 is not 5 or more. With 29.675 you will round to 29.68. A saying to remember is, five or above, give it a shove.

subtract 5 from both sides -

5x - 7 = -10x + 8

-5 -5

-7 = -15x + 8

subtract 8 from both sides -

-7 = -15x + 8

-8 -8

-15 = -15x

now divide both sides by -15 -

-15/-15 = -15x/-15

The answer: x = 1

(x alone also equals 1)

hope this helps! :)

Answer:

see explanation

Step-by-step explanation:

The solution to the equation

2x² + 3x + 4 = 0

Is where the graph crosses the x- axis ( that is y = 0 )

However, the graph does not intersect the x- axis , therefore the equation has no real solutions.

Answer:

x/12

Step-by-step explanation:

The total number of strings is given by the product of the two values mentioned above: C(13, 4) * 4^3.

To find the number of strings over the alphabet abcde of length 13 that have exactly four 'c's, we need to consider the placement of the 'c' characters. First, we choose the positions for the four 'c's out of the 13 positions, which can be done in (13 choose 4) ways, denoted as C(13, 4). For each choice of positions for the 'c's, we have three remaining positions to fill with the remaining four letters (a, b, d, e). The three positions can be filled in 4^3 ways.

Thus, the total number of strings is given by the product of the two values mentioned above: C(13, 4) * 4^3. Evaluating this expression, we find that the number of strings over the alphabet abcde of length 13 with exactly four 'c's is C(13, 4) * 4^3.

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The probability that it will have distinct even digits is 6/1000.

The first digit can take on 5 values (0,2,4,6,8).

The second digit could take on 4 values (one less than 5 to be unique).

The third digit could take on 3 values (two less than 5 to be unique).

So that makes,

N=5.4.3

N=60

P= 60/1000

P=3/50

So there are 60 unique three digit even numbers.

There are 1000 possible outcomes.

Probability and statistics are two fundamental concepts in mathematics. Probability is about the probability of an event, whereas statistics are about how different techniques are used to process different data.

Probability and statistics allow us to process complex data in a very understandable way.

Probability is one of the most popular topics in statistics. The reason is that this one theory is often used when trying to predict something. For example, figuring out what comes out of a random series of events. For simplicity, probability is also called chance or probability. 

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Answer: Yes, because 4 + 5 > 8

Step-by-step explanation: The sum of 4 + 5 must be more than 8 to be a triangle

Answer:

The answer is A) Yes, because 4 + 5 > 8

Step-by-step explanation:

I got it right loves <3

Answer:

x = 5

Step-by-step explanation:

30 divided by 6 equals x

30/6 = 5

so x = 5

Answer:

X= 5

Step-by-step explanation:

6x=30

or, x=30/6
Therefore, x=5

Answer:

29 years

Step-by-step explanation:

In 29 years the grandson will be 40 and the grandfather will be 80. 80 is twice as much as 40.

Answer: 29 years

Step-by-step explanation: if the grandfather is 51 when the grandson is 11 then the grandfather was 40 when his grandson was born. This mean the grandfather will be 80 when the grandson is 40. 40-11=29

Hi,

\(\frac{x^{a} }{x^{b} } =x^{a-b}\)

a)

\(\frac{x^{7} }{x^{3} }= x^{7-3} = x^{4}\)

b)

\(\frac{y^{5} }{y^{4} } = y^{5-4} = y^{1} = y\)

;)

The real number √21 is an example of an irrational number. (Correct choice: C)

According to number theory, real numbers are formed by the following sets:

Then, by direct inspection we get the following conclusions:

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When training a classifier, the training set is used to learn the conditional probabilities.

The training set is used to learn the conditional probabilities because the training set is used to train the classifier on the patterns and features in the data, which in turn helps the classifier to learn the conditional probabilities of the different classes in the data.

The hold-out set and test set are used to evaluate the performance of the classifier and ensure that it is not overfitting to the training set.

By evaluating the classifier on data that it has not seen before, we can get a more accurate estimate of its true performance and the probability of correctly classifying new data.

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Answer:

the 4th students gets 8 marbles

Step-by-step explanation:

10+20=30+12=42

50-42=8

The limit of the given expression as x approaches 1 is 0.

To evaluate the limit of the given expression as x approaches 1, we can use L'Hopital's rule, which states that if the limit of a quotient of functions is of the form 0/0 or ±∞/±∞, then the limit can be found by taking the derivative of the numerator and denominator and evaluating the new quotient at the same point.

Using L'Hopital's rule on the given expression, we get:

lim x→1 [5x/(x-1) - 5/x] = lim x→1 [(5x^2 - 10x + 5)/(x^2 - x)]

Plugging in x = 1 directly to this expression, we get:

lim x→1 [(5x^2 - 10x + 5)/(x^2 - x)] = (5 - 10 + 5)/(1 - 1) = 0/0

Since the limit is still in an indeterminate form, we can apply L'Hopital's rule once again:

lim x→1 [(5x^2 - 10x + 5)/(x^2 - x)] = lim x→1 [(10x - 10)/(2x - 1)] = 0

Therefore, the limit of the given expression as x approaches 1 is 0.

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Answer:

\(\frac{2t-4}{3}\)

Step-by-step explanation:

\(\frac{2}{3}\)\((t-2)\\\)
=> \((\frac{2}{3} * t ) + (\frac{2}{3} * -2)\)
=> \(\frac{2t}{3} + (-\frac{4}{3})\)
=> \(\frac{2t-4}{3}\)

Hope you understood!!

Answer:

(13.5)/4 = 3.375

step-by-step explanation

The line integral ∫[C] (Pdx + Qdy) over the given curve C consisting of the arc of the parabola y = x² from (0,0) to (1, 1), and the line segment from (1,1) to (0,1) is equal to 2/5.

What is integral?

The value obtained after integrating or adding the terms of a function that is divided into an infinite number of terms is generally referred to as an integral value.

To evaluate the line integral using Green's theorem, we need to find a vector field F = (P, Q) such that ∇ × F = Qₓ - Pᵧ, where Qₓ represents the partial derivative of Q with respect to x, and Pᵧ represents the partial derivative of P with respect to y.

Let's consider F = (P, Q) = (x²y², xy).

Now, let's calculate the partial derivatives:

Qₓ = ∂Q/∂x = ∂(xy)/∂x = y

Pᵧ = ∂P/∂y = ∂(x²y²)/∂y = 2x²y

The curl of F is given by ∇ × F = Qₓ - Pᵧ = y - 2x²y = (1 - 2x²)y.

Now, let's find the line integral using Green's theorem:

∫[C] (Pdx + Qdy) = ∫∫[R] (1 - 2x²)y dA,

where [R] represents the region enclosed by the curve C.

To evaluate the line integral, we need to parameterize the curve C.

The arc of the parabola y = x² from (0, 0) to (1, 1) can be parameterized as r(t) = (t, t²) for t ∈ [0, 1].

The line segment from (1, 1) to (0, 1) can be parameterized as r(t) = (1 - t, 1) for t ∈ [0, 1].

Using these parameterizations, the region R is bounded by the curves r(t) = (t, t²) and r(t) = (1 - t, 1).

Now, let's calculate the line integral:

∫∫[R] (1 - 2x²)y dA = ∫[0,1] ∫[t²,1] (1 - 2t²)y dy dx + ∫[0,1] ∫[0,t²] (1 - 2t²)y dy dx.

Integrating with respect to y first:

∫[0,1] [(1 - 2t²)(1 - t²) - (1 - 2t²)t²] dt.

Simplifying:

∫[0,1] [1 - 3t² + 2t⁴] dt.

Integrating with respect to t:

[t - t³ + (2/5)t⁵]_[0,1] = 1 - 1 + (2/5) = 2/5.

Therefore, the line integral ∫[C] (Pdx + Qdy) over the given curve C consisting of the arc of the parabola y = x² from (0,0) to (1,1), and the line segment from (1,1) to (0,1) is equal to 2/5.

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Answer:

34.84

Step-by-step explanation:

I don't know if this is right or not but basically i just used arc sin(20/35) since we are trying to find the angle not the side length

The function is defines for all (x,y,z) ∈ R³

Hence the domain of this equation is,

D = {(x, y, z) | 9x² + 9y² + z² ≤ 81

The function is bound by sphere.

The set of inputs that a function will accept is known as the domain of the function in mathematics.  (f),  " (f), where f is the function, are other ways to refer to it.

More specifically, the domain of f is X given a function  Xto Yfcolon Xto Y. It should be noted that in contemporary mathematical terminology, a function's domain is a component of its definition rather than a quality.

The function f can be graphed in the Cartesian coordinate system in the particular situation where X and Y are both subsets of  R  In this instance, the graph's x-axis shows the domain as the projection.

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The answer is C. 8 blankets.

To figure this out, first find the volume of the moving box by multiplying the three dimensions: 18 x 18 x 18 = 5832 cubic inches.
Then divide the volume of the box by the volume of one blanket: 5832 / 686 = 8.49.
Since you can't pack a fraction of a blanket, you would be able to pack 8 blankets into the box.
Hi! To determine how many blankets you can fit into the moving box, first, find the volume of the box, and then divide it by the volume of a single blanket.

The volume of a box is calculated as Length x Width x Height. Since it's an 18-inch box, its dimensions are 18x18x18 inches.
Volume of the box = 18 x 18 x 18 = 5832 cubic inches
Now, each blanket occupies 686 cubic inches. To find out how many blankets can fit in the box, divide the volume of the box by the volume of a single blanket:
Number of blankets = 5832 / 686 ≈ 8.5
Since you cannot pack half a blanket, the maximum number of blankets you can fit in the box is 8.

Your answer: C. 8 blankets

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Answer:

The student made no mistake. The solution is correct.

Answer:

The answer is S. The student made no mistake, so the solution is correct.

Step-by-step explanation:

Answer: Stephenie

Step-by-step explanation:

To calculate the future value of David's investment after 8 years:

FV = PV x (1 + r)^n

where FV is the future value, PV is the present value, r is the interest rate, and n is the number of years.

FV = 2000 x (1 + 0.04)^8

FV = 2000 x 1.3605

FV = $2,721

To calculate the future value of Stephenie's investment after 8 years:

FV = PV x (1 + r)^n

FV = 1800 x (1 + 0.05)^8

FV = 1800 x 1.4693

FV = $2,645.46

Therefore, Stephenie's investment will be worth more in 8 years by $75.54.

Answer:

David. Around Rs 78

Step-by-step explanation:

The Formula for compound interest is

A = P [ 1 + (R/100) ] ^ n

where P is the principle amount invested

R is the rate of interest and n is the number of years of investment

A is the accumulated amount after the investment time period

For David,

Amount (A1) = 2000 [ 1+ 0.04 ] ^ 8  =  2737.138

For Stephanie,

Amount (A2) = 1800 [ 1 + 0.05 ] ^ 8  = 2659.419

From this calculation A1 > A2, so the investment of David is more worth

The worth value is A1 - A2 = 77.719 = 78

The intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

To show that a1 ≤ a2 ≤ ... ≤ an ≤ ..., we need to use the fact that the sequence of intervals is nested, meaning that each interval is contained within the next one.

First, we know that I1 contains I2, so every point in I2 is also in I1. That means that a1 ≤ a2 and b1 ≥ b2.

Now consider I2 and I3. Again, every point in I3 is also in I2, so a2 ≤ a3 and b2 ≥ b3.

We can continue this process for all the intervals in the sequence, until we reach In. So we have:

a1 ≤ a2 ≤ ... ≤ an-1 ≤ an

and

b1 ≥ b2 ≥ ... ≥ bn-1 ≥ bn

This shows that the endpoints of the intervals are ordered in the same way.

Given that I₁ ⊇ I₂ ⊇ ... In ⊇ ... is a nested sequence of intervals and In = [an; bn], we can show that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... as follows:

Since the intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

Continuing this pattern for all intervals in the sequence, we can conclude that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... .

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Step-by-step explanation:

Answer attached.

Hope it helps :)

The cοrrect statement is "The greater the value οf the base, the greater the functiοn's rate οf grοwth"

An expοnential functiοn is a mathematical functiοn οf fοrm f(x) = abˣ,

where a and b are cοnstants, and x is the variable.

The base b is a pοsitive cοnstant and is typically greater than 1. The expοnent x represents the degree οf grοwth οr decay οf the functiοn.

Expοnential functiοns are cοmmοnly used tο mοdel grοwth οr decay in variοus real-wοrld phenοmena, such as pοpulatiοn grοwth, cοmpοund interest, radiοactive decay, and the spread οf disease.

When b is greater than 1, the functiοn represents expοnential grοwth. As x increases, the functiοn grοws at an increasing rate.

When b is between 0 and 1, the functiοn represents expοnential decay. As x increases, the functiοn decays at a decreasing rate.

Therefοre,

The cοrrect statement is "The greater the value οf the base, the greater the functiοn's rate οf grοwth".

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Answer:

166,460 doctors registered.

Step-by-step explanation:

32.2% -------- 53,600 female doctors

100% --------          X

X * 32.2% = 100% * 53,600

X = (100% * 53,600) / 32.2%

X = 166,460 doctors

Using paper and pencil, but no calculator, we can find 39453 leaves a remainder of 9 when divided by 12, so does 39453 * 1.

When we divide 39453 by 12,

we get a quotient of 3287 and a remainder of 9 (also known as the modular residue of 39453 modulo 12).

We must now find a natural number k that satisfies the following equation:

9  k mod 12

Given that k is a natural number between 0 and 11, there are only a few possibilities we need to test. Since 9 * 1 = 9 is equivalent to 9 modulo 12,

k = 1 is the solution to the equation.

In order to check our answer, we must perform the following multiplication:

39453 * 1 = 39453

As a result, we've double-checked that our answer is correct.

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The answer is (0,-6)

In step 1 the y intercept should be plotted at (0,-6)