I BET NO ONE KNOWS THIS How many moles of helium are in 3.5 x 10^22 atoms of helium? _______ mol He

Answer:

X = 40

Step-by-step explanation:

If X = 45 - 5 then X = 40 because 45 - 5 = 40

Answer:

$405.

Step-by-step explanation:

That would be 15% of $2700

= 2700 * 0.15

= $405

The answer is A. y=-3/4x+1/4

The required equation of the line is y = (-3/4)x - 2 which passes through the point (–5, 4). The correct answer would be an option (C).

The slope of a line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Let the required equation of the line would be as:

y - y₁ = m(x - x₁)

Since the line passes through the point (–5, 4) and slope m = -3/4

So substitute the values in the above equation, and we

y - (-5) = (-3/4)(x - 4)

y + 5 = (-3/4)x -  (-3/4)4

y + 5 = (-3/4)x + 3

y = (-3/4)x + 3 - 5

y = (-3/4)x - 2

Thus, the required equation of the line is y = (-3/4)x - 2.

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Answer:(- 1, - 2), (0, 0), (1, 2), (2, 4), (3, 6).

Step-by-step explanation:

An ordered pair is in the form of ( x, y ) that describes a particular location in a coordinate plane where, the first number represents x axis and second represents y axis.

Using the equation y = 2x, some ordered pairs are as follows (- 1, - 2), (0, 0), (1, 2), (2, 4), (3, 6).

Let us find the ordered pairs that satisfies the above equation.

Given that y = 2x

Let's take different values of x and substitute in the given equation to get the values of y.

⇒ y = 2 ( -1) = - 2

⇒ y = 2 ( 0 ) = 0

⇒ y = 2 ( 1 ) = 2

⇒ y = 2 ( 2 ) = 4

⇒ y = 2 ( 3 ) = 6

From the above equation, the ordered pairs we get are (- 1, - 2), (0, 0), (1, 2), (2, 4), (3, 6).

Step-by-step explanation: brainliest?

Step-by-step explanation:

solution

the perimeter of Canadian Flag = l×b

l=2w

l=x, w=y

192=2w+w

Therefore the equation

2w+w=192≈ax+2y=b

a=2

b=192

Answer:

− ( q p 4 − 12 q p 2 + 36 q − p 2 + 6 )

Step-by-step explanation:

Answer:

I believe it is a maximum. So sorry if im wrong

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

The probability of a wheelchair not needing to be serviced for the 16 weeks of the semester is 0.230.

The exponential distribution is a continuous probability distribution that describes the time between two consecutive events that occur randomly and independently of each other. This distribution is useful in the fields of reliability, physics, and finance, among others.

The exponential distribution has a single parameter known as the scale parameter, which is denoted by lambda (λ) and is typically expressed in terms of the mean time between failures.The mean, median, and standard deviation are three of the most common summary statistics used to describe a probability distribution.

The probability of a wheelchair not needing to be serviced for the 16 weeks of the semester can also be calculated using the exponential distribution.

Mean: The mean of the exponential distribution is equal to 1/λ.λ = 1/7 = 0.143

Therefore, the mean is 1/λ = 1/0.143 = 6.993.

Median: The median of the exponential distribution is equal to ln(2)/λ.λ = 1/7 = 0.143

Therefore, the median is ln(2)/λ = ln(2)/0.143 = 4.837.

Standard deviation: The standard deviation of the exponential distribution is equal to 1/λ.λ = 1/7 = 0.143

Therefore, the standard deviation is 1/λ = 1/0.143 = 6.993.

Probability: P(X > 16) = e^(-λx)λ = 1/7 = 0.143X = 16P(X > 16) = e^(-0.143 * 16) = 0.230

Therefore, the probability of a wheelchair not needing to be serviced for the 16 weeks of the semester is 0.230.

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The ordered pair (x, y) that is a solution to the equation -x + 5y = 2 is (0, 2/5).

To find the coordinates of the other endpoint D given that the midpoint of CD is M(2, -1) and one endpoint is C(-3, -3), we can use the midpoint formula:

Midpoint formula:

The coordinates of the midpoint between two points (x₁, y₁) and (x₂, y₂) are given by ((x₁ + x₂) / 2, (y₁ + y₂) / 2).

Using the given information, we can substitute the known values into the midpoint formula and solve for the coordinates of D:

M(2, -1) = ((-3 + x₂) / 2, (-3 + y₂) / 2)

Simplifying the equation:

2 = (-3 + x₂) / 2

-1 = (-3 + y₂) / 2

To solve for x₂:

4 = -3 + x₂

x₂ = -3 + 4

x₂ = 1

To solve for y₂:

-2 = -3 + y₂

y₂ = -3 - 2

y₂ = -5

Therefore, the coordinates of the other endpoint D are D(1, -5).

To find an ordered pair (x, y) that is a solution to the equation -x + 5y = 2, we can choose any value for either x or y and solve for the other variable. Let's choose x = 0:

-0 + 5y = 2

5y = 2

y = 2/5

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The value of z is determined by capital-to-labor ratio and it is greater than 1.

The value of z is determined by the capital-to-labor ratio of each firm, specifically the ratio between the capital used (K) and the labor employed (L). To find the value of z, we need to compare the capital-to-labor ratios of Tom's firm (Kt/Lt) and Dana's firm (Kd/Ld).

Comparing the production functions, we can see that Tom's firm has a capital exponent of 0.7, while Dana's firm has a capital exponent of 0.3. Similarly, Tom's firm has a labor exponent of 0.3, while Dana's firm has a labor exponent of 0.8.

Since the capital exponent in Tom's firm (0.7) is greater than the capital exponent in Dana's firm (0.3), Tom's firm has a larger capital-to-labor ratio. This implies that Tom's firm uses relatively more capital compared to labor in the production process.

Therefore, z, which represents the ratio of Dana's firm's capital-to-labor ratio to Tom's firm's capital-to-labor ratio, will be less than 1. This means that Dana's firm uses relatively less capital compared to labor.

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Answer:

1/12

Step-by-step explanation:

1/2 × 1/3 × 1/2

= 1/12

Answer:

See attachment.  7 and 24 (units not given)

Step-by-step explanation:

The sides of a right triangle will follow the Pythagorean Theorem:

A^2 + B^2 = C^2

We are given some options, so let's start with assuming the hypotenuse, C, is the largest of the numbers and see if we can find two smaller lengths that, when squared, will equal the square of the hypotenuse.

25^2 = 625

The other squares:

4^2    =   16

7^2    =   49

12^2   = 144

24^2  = 576

I quickly note that the 49 and 576 come close (or exactly) to the 625 we need, and the sum of their last digits results in a 5, so add them:

567

49

625

Therefore, the two sides are  7 and 24 (units, such as cm, m, feet, etc,)

If two numbers couldn't be found that meet the criteria, go to the next lowest number for the hypotenuse and repeat the process.

Answer:

The skater has done half of the  potential energy 2750

Step-by-step explanation:

5500 divided by 2 = 2750

Answer:

12

Step-by-step explanation:

these are 2 similar triangles, as due to the construction we have 3 corresponding pairs of equal angles (the 47° angle is a given as equal, then due to the rules of crossing lines the inner angles as S must be equal as opposite angles, and that automatically makes the third angles equal, as the sum of all angles in a triangle must be always 180°).

in similar triangles the length ratio of corresponding sides is the same for all corresponding sides and lengths in these triangles.

so, we can use the sides opposite of the 47° angles to find that ratio :

21/9 = 7/3

and now also the sides 28 and x must have the same ratio :

28/x = 7/3

4/x = 1/3

12/x = 1

x = 12

Answer:

.........2x+3y=19........

there is no smallest positive value of p that satisfies the equation for all values of x ∈ [0, 2π]. The equation cos(psinx) = sin(pcosx) does not have a unique solution within the given interval.

To find the smallest positive value of p that satisfies the equation cos(psinx) = sin(pcosx), we need to analyze the behavior of the cosine and sine functions within the given interval [0, 2π].

First, we note that both the cosine and sine functions oscillate between -1 and 1. The equation implies that the cosine of psinx is equal to the sine of pcosx. In order for this equality to hold true, the arguments of the cosine and sine functions must be equal, or their values must differ by a multiple of 2π.

To find the smallest positive value of p, we consider the smallest possible difference between the arguments of the cosine and sine functions. Since the difference can be expressed as psinx - pcosx = 2πn, where n is an integer, we aim to find the smallest positive p that satisfies this equation.

By analyzing the behavior of the sine and cosine functions, we observe that the smallest possible difference between the arguments occurs when sinx and cosx are both equal to 1, resulting in p - p = 2πn. Simplifying this equation gives 0 = 2πn, which holds true for any value of n.

Therefore, there is no smallest positive value of p that satisfies the equation for all values of x ∈ [0, 2π]. The equation cos(psinx) = sin(pcosx) does not have a unique solution within the given interval.

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The standard deviation for this sample data set is 1.93.

What is deviation ?

Deviation refers to the difference between an individual value or observation and the average or mean value of a set of data. It can also refer to the extent to which a variable or set of data deviates from a standard or expected value.

To calculate the standard deviation for a sample data set, we first need to find the mean (average) of the data. In this case, the mean of the data set {5, 7, 6, 9, 6, 4, 4, 6, 5, 2, 5} is 5.45.

Once we have the mean, we can calculate the variance by taking the average of the squared differences between each data point and the mean. The variance is given by:

(1/n) * Σ(x_i - mean)^2

where n is the number of data points and x_i is the i-th data point.

The variance for this data set is 3.70.

Finally, we take the square root of the variance to get the standard deviation.

So, the standard deviation for this sample data set is 1.93.

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The ordered pair notation for UOS is UOS = {(a, b)} .

To express the relation UOS using ordered pair notation, we need to find all the pairs of elements that are related in both U and S.
Looking at U and S:
U = {(a, 6), (d, a)}
S = {(a, b), (d, d)}
We can see that the only pair that is related in both U and S is (a, b). Therefore, the ordered pair notation for UOS is:
UOS = {(a, b)}
Note that we only include the pair that is related in both U and S, even though there may be other pairs that are related in U or S individually.

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Answer:

C

Step-by-step explanation:

EDGE2021

The value should be used for n, the number of periods over which the loan is repaid in 60 periods.

The value of the monthly payment is given by;

P = PV × i / 1-(1+i)⁻ⁿ

Where,

PV is the present value or the amount of the loan.

i is the interest rate per period and is calculated by dividing the yearly percent rate by 100 and by the number of periods in a year.

n is the total number of periods and is calculated as the product of the number of periods in a year times the number of years.

Therefore,

The value should be used for n, the number of periods over which the loan is repaid;

n = 6 years × 12 months/year = 60 months = 60 periods.

Hence, The value should be used for n, the number of periods over which the loan is repaid in 60 periods.

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Answer:

A. W = 167/77

Step-by-step explanation:

To find the work done by the vector field F over the curve C in the direction of increasing t, we can use the line integral formula:

W = ∫(F · dr)

where F is the vector field, dr is the differential vector along the curve, and the integral is evaluated over the curve C.

Given:

F = (y/z)i + (x/z)j + (x/y)k

C: r(t) = t^9i + t^7j + t^5k, 0 ≤ t ≤ 1

We need to evaluate the dot product F · dr and integrate it over the curve C.

First, we find dr:

dr = dx i + dy j + dz k

Since r(t) = t^9i + t^7j + t^5k, we can differentiate r(t) to find dr:

dr = (9t^8)i + (7t^6)j + (5t^4)k

Now, let's evaluate F · dr:

F · dr = (y/z)(dx) + (x/z)(dy) + (x/y)(dz)

Substituting the components of F and dr:

F · dr = [(y/z)(dx)] + [(x/z)(dy)] + [(x/y)(dz)]

       = [(y/z)(9t^8) + (x/z)(7t^6) + (x/y)(5t^4)] dt

Next, we need to substitute the components of r(t) into the expression for F · dr:

F · dr = [(t^7/t^5)(9t^8) + (t^9/t^5)(7t^6) + (t^9/t^7)(5t^4)] dt

       = (9t^16 + 7t^16 + 5t^16) dt

       = 21t^16 dt

Now, we can integrate W with respect to t over the interval [0, 1]:

W = ∫(0 to 1) 21t^16 dt

   = [21(t^17)/17] (0 to 1)

   = (21/17)(1^17 - 0^17)

   = (21/17)(1 - 0)

   = 21/17

Therefore, the correct answer is:

A. W = 167/77

The work done by the vector field F over the curve C can be found using the line integral formula. Given that F = y/z i + x/z j + x/y k and C is defined by the parameterization r(t) = t⁹i + t⁷j + t⁵k for 0 ≤ t ≤ 1.

To find the work done, we need to evaluate the line integral ∫C F · dr, where F = y/z i + x/z j + x/y k and C is the curve defined by r(t) = t⁹i + t⁷j + t⁵k for 0 ≤ t ≤ 1.

First, we compute the differential of the parameterization: dr = 9t⁸i + 7t⁶j + 5t⁴k dt.

Next, we evaluate the dot product F · dr:

F · dr = (y/z)(9t⁸) + (x/z)(7t⁶) + (x/y)(5t⁴)

= (t⁷/z)(9t⁸) + (t⁹/z)(7t⁶) + (t⁹/t⁷)(5t⁴)

= 9t¹⁶/z + 7t¹⁵/z + 5t⁵

Taking the integral of F · dr over the curve C, we have:

∫C F · dr = ∫₀¹ (9t¹⁶/z + 7t¹⁵/z + 5t⁵) dt

= [((9/17)t¹⁷ + (7/16)t¹⁶ + (5/6)t⁶) / z] from 0 to 1

= (9/17z + 7/16z + 5/6) - 0

= 9/17z + 7/16z + 5/6

Since the value of z is not given, we cannot determine the exact numerical value of the work done. However, it can be concluded that the work done is in the form of (9/17z + 7/16z + 5/6), which does not match any of the given options. Therefore, none of the options A, B, C, or D is correct.

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The characteristics of the horizontal line graph, y = 3 is that it is:

c. parallel to the x-axis

Recall:

The graph of the line, y = 3 is shown in the diagram attached below. From the graph, k is 3 (on the y-axis) and it is parallel to the x-axis.

Therefore, the characteristics of the horizontal line graph, y = 3 is that it is:

c. parallel to the x-axis

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B. Proposition I is false and Proposition II is false.To determine whether Proposition I and Proposition II are true or false,

we need to conduct a hypothesis test to compare the mean immunogenicity level between the placebo and vaccine groups.

Let's define our hypotheses:

Null Hypothesis (H0): The mean immunogenicity level in the vaccine group is not significantly higher than the mean immunogenicity level in the placebo group.

Alternative Hypothesis (Ha): The mean immunogenicity level in the vaccine group is significantly higher than the mean immunogenicity level in the placebo group.

We will use a two-sample t-test to test the hypotheses. Since the sample sizes are relatively small, we assume that the populations are normally distributed.

Based on the given information, we can calculate the sample means and sample standard deviations for the placebo and vaccine groups.

Placebo group:

Sample size (n1) = 8

Sample  ( mean) = (108 + 133 + 134 + 145 + 152 + 155 + 169) / 7 = 140.57

Sample standard deviation (s1) = 20.98

Vaccine group:

Sample size (n2) = 8

Sample mean  = (115 + 162 + 162 + 168 + 170 + 181 + 199 + 207) / 8 = 169.625

Sample standard deviation (s2) = 30.52

Now, we can calculate the test statistic and compare it with the critical values at the 5% and 1% significance levels.

Using a two-sample t-test, the test

statistic is given by:

Substituting the values:

Calculating the test statistic, we find:

t ≈ 1.712

To determine the appropriate decision, we compare the test statistic with the critical values at the 5% and 1% significance levels. The degrees of freedom for this test are calculated using the formula:

Substituting the values, we find:

df ≈ 12.69

Using a t-table or statistical software, we find the critical values for a two-tailed test at the 5% significance level (α = 0.05) and 1% significance level (α = 0.01) with df = 12.69:

For α = 0.05:

Critical value (two-tailed) ≈ ±2.178

For α = 0.01:

Critical value (two-tailed) ≈ ±2.681

Since the calculated test statistic (t = 1.712) falls within the range of -2.178 to 2.178, we fail to reject the null hypothesis at the 5% significance level. Therefore, Proposition I is false.

Similarly, since the calculated test statistic (t = 1.712) falls within the range of -2.681 to 2.681, we also fail to reject the null hypothesis at the 1% significance level. Therefore, Proposition II is also false.

Hence, the correct answer is:

B. Proposition I is false and Proposition II is false.

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Mr. Jackson will roll a 4 between 3 and 7 times, inclusive, out of his 30 rolls of a number cube is 0.332,

P(X=k) = \(C(n,k)\)\(* p^k * (1-p)^{n-k}\)

Where:

P(X=k) is the probability of getting k successes

n is the total number of trials

k is the number of successful trials

p is the probability of success in one trial

(1-p) is the probability of failure in one trial

here, in the question given that

n = 30 (total number of rolls)

k = 3, 4, 5, 6, or 7 (number of times rolling a 4)

p = 1/6 (probability of rolling a 4 on one roll)

Now we can calculate the probability of rolling a 4 between 3 and 7 times:

P(3<=X<=7) = P(X=3) + P(X=4) + P(X=5) + P(X=6) + P(X=7)

now for  each value of k, we get:

\(P(X=3) = C(30,3) * (1/6)^3 * (5/6)^{27} = 0.182\)

\(P(X=4) = C(30,4) * (1/6)^4 * x)5/6)^{26} = 0.106\\P(X=5) = C(30,5) * (1/6)^5 * (5/6)^{25} = 0.035\\P(X=6) = C(30,6) * (1/6)^6 * (5/6)^{24} = 0.008\\P(X=7) = C(30,7) * (1/6)^7 * (5/6)^{23} = 0.001\)

Adding these probabilities , we get:

P(3<=X<=7) = 0.182 + 0.106 + 0.035 + 0.008 + 0.001 = 0.332

Therefore, the probability that Mr. Jackson will roll a 4 between 3 and 7 times, inclusive, out of his 30 rolls of a number cube is 0.332,

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Answer:

$66.70 for 10 sets

Step-by-step explanation:

Multiply the cost of 1 set by the number of sets wanted

$6.67 * 10

66.70 for 10 sets

Answer:

$66.70

Step-by-step explanation:

In order to figure out the cost of 10 sets of napkins, you have to multiply the cost of one set by 10.

Answer:

248

Step-by-step explanation:

Solution for What is 400 percent of 62:

400 percent *62 =

(400:100)*62 =

(400*62):100 =

24800:100 = 248

Now we have: 400 percent of 62 = 248

Question: What is 400 percent of 62?

Percentage solution with steps:

Step 1: Our output value is 62.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$62=100\%.

Step 4: Similarly, x=400\%.

Step 5: This results in a pair of simple equations:

62=100\%(1).

x=400\%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

\frac{62}{x}=\frac{100\%}{400\%}

Step 7: Again, the reciprocal of both sides gives

\frac{x}{62}=\frac{400}{100}

\Rightarrow x=248

Therefore, 400 of 62 is 248

Answer:

248

Step-by-step explanation:

\(\frac{y}{400}: \frac{62}{100}\)

y · 100 = 62 · 400

100y = 24800

100y ÷ 100 = 24800 ÷ 100

y = 248

The cumulative probability of obtaining a sample result will be approximately 0.0001

We have to apply Formula of Binomial Distribution:

P(X ≤ 168) = ΣP(X = i) for i = 0, 1, 2, .., 168, here in a sample of size n, P(X = i) is the probability of getting exactly i success

We assume that company's claim is true, 0.8 is the probability of success for each trial

P(X = i) = (200 choose i)×\(0.8^{i}\) ×\(0.2^{200- i}\)

By using this, we can easily find that cumulative probability is 0.0001

So, the probability is very low, this means that company's claim of an 80% success rate can be incorrect

So, further analysis may be needed to draw some conclusions and results

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Answer:

5 in

Step-by-step explanation:

20 ft-9\(\frac{1}{2}\) in+ 2\(\frac{1}{2}\) in = 21 ft   meaning, Tim has to jump 2\(\frac{1}{2}\) in more inches just to get to 21 ft, then...

He needs to jump an additional    2\(\frac{1}{4}\) + \(\frac{1}{4}\) = 2\(\frac{2}{4}\) = 2\(\frac{1}{2}\) in to break the record.  Note:  he needs to jump at least \(\frac{1}{4}\) in farther than the record because jumps only are measured to the nearest \(\frac{1}{4}\) inch.

Therefore Tim must jump 2\(\frac{1}{2}\) in + 2\(\frac{1}{2}\) in = 5 in farther to break the record.

The function F(g(9))= 179

Given ,Function F (n) = 3n-1

g(n) = n² - 2n-3

g(9)= 9²-2(9)-3

= 81-18-3

g(9) = 60

F(g(9))=F(60)

= 3(60)-1

 = 179

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x.

In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain.

The whole set of values that the function's output can produce is referred to as the range. The set of values that might be a function's outputs is known as the co-domain.

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