what does √(19 - 3) to the power of two mean

Solution:

Given that a committee of 4 teachers and 3 students is to be formed from 12 teachers and 35 students, we have

Recall that:

This gives:

Hence, the number of committees that can be formed is

Answer:

y=(slope)*x+(y-intercept)

Step-by-step explanation:

The m is the slope, the b is the y-intercept, & the x and y are just the values.

The slope is equal to rise/run.

The y-intercept is where the line crosses the y axis.

The y axis is vertical and the x axis is horizontal.

Hope this helps! :)

Answer:

A) y = \(\frac{11\sqrt{3} }{2}\), x = 11

Step-by-step explanation:

We can use the 60 degree angle to help us solve this.

Remember: tan(angle) = opposite/adjacent

Using this formula, we get that

tan (60 degrees) = y / (11/2)

This is because y is the side opposite to the 60 degree angle and 11/2 is the side adjacent to the 60 degree angle.

Simplifying this expression, we get that

\(\sqrt{3}\) = y/(11/2)

Multiplying both sides by 11/2, we get

\(\frac{11\sqrt{3} }{2}\) = y

We can now use the pythagorean theorem to help us solve for x

Remember: a² + b² = c²

Since x is the hypotenuse, it is the c value. Therefore, we get:

(11/2)² + (\(\frac{11\sqrt{3} }{2}\))² = x²

Simplifying this, we get

\(\frac{121}{4}\) + \(\frac{121 * 3}{4}\) = x²

Simplifying this some more, we get

484/4 = x²

121 = x²

Taking the square root of both sides, we get that

x = 11

I hope this helps!

Answer:

10-u

Step-by-step explanation:

the variable u can be any number, one that we don't know of.

For the value h = -1, the vector y = [4,-1,-1] is in the plane spanned by v1 and v2.

To determine whether y is in the plane spanned by v1 and v2, we need to check if y can be expressed as a linear combination of v1 and v2.

Let's set up an equation using the vectors v1, v2, and y:

y = av1 + bv2,

where a and b are scalar coefficients to be determined.

Substituting the given values of v1, v2, and y, we have:

[4,-1,h] = a[1,2,-1] + b[-2,-1,1].

Expanding the right side of the equation, we get:

[4,-1,h] = [a,2a,-a] + [-2b,-b,b].

Combining like terms, we obtain:

[4,-1,h] = [a-2b,2a-b,-a+b].

Now, we can set up a system of equations by comparing the corresponding components:

a - 2b = 4,     (1)

2a - b = -1,    (2)

-a + b = h.     (3)

We can solve this system to find the values of a, b, and h.

From equation (2), we can solve for a in terms of b:

2a = b - 1,

a = (b - 1)/2.

Substituting this expression for a into equation (1), we have:

(b - 1)/2 - 2b = 4,

b - 1 - 4b = 8,

-3b = 9,

b = -3.

Substituting the value of b = -3 into equation (2), we find:

2a - (-3) = -1,

2a + 3 = -1,

2a = -4,

a = -2.

Finally, substituting the values of a = -2 and b = -3 into equation (3), we get:

-(-2) + (-3) = h,

2 - 3 = h,

h = -1.

Therefore, for h = -1, the vector y = [4,-1,-1] is in the plane spanned by v1 and v2.

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Answer:

0.61 °C

Step-by-step explanation:

1. You look at all the tenths in the degrees

2.You figure out which one of the tenths fits between -0.8 and -0.1

A student club is designing a trebuchet to launch a pumpkin into projectile motion. The trajectory of the launched pumpkin is predicted to be parabolic, and can be described by the equation y(x). This means that as the pumpkin moves through the air, its path will follow a parabolic shape, which is common in projectile motion scenarios.

Based on the student club's design, they predict that the trajectory of the launched pumpkin will follow a parabolic path. This means that the height of the pumpkin (y) will depend on its horizontal distance from the launch point (x). The equation that describes this relationship is known as the "trajectory equation" or "equation of motion."

The general form of the trajectory equation for projectile motion is:

y(x) = ax^2 + bx + c

where a, b, and c are constants that depend on the initial velocity, angle of launch, and other factors.

To determine the specific values of a, b, and c for the student club's trebuchet, they will need to conduct experiments or simulations to measure the pumpkin's height at different horizontal distances. They can then use this data to fit the trajectory equation to the observed data points.

Once they have the trajectory equation, they can use it to make predictions about the pumpkin's flight path and adjust their design accordingly. For example, if the pumpkin is not landing where they want it to, they can tweak the launch angle, velocity, or other factors to get a better result.

Based on your question, a student club is designing a trebuchet to launch a pumpkin into projectile motion. The trajectory of the launched pumpkin is predicted to be parabolic, and can be described by the equation y(x). This means that as the pumpkin moves through the air, its path will follow a parabolic shape, which is common in projectile motion scenarios.

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Properties of the multiplication

The associative property states that the product of three factors can be grouped in any order and they will produce the same result.

The statement

(3x4)x7 can be written in two equivalent forms by associating another pair of elements:

3x(4x7)

(3x7)x4

Selecting the first form:

(3x4)x7 = 3x(4x7)

Thus the correct choice is:

a. Associative

Answer:

\(1 - p\)

Step-by-step explanation:

Consider the \((\Omega, \mathcal{F}, \mathbb{P})\) where \(\mathcal{F}\) is sigma algebra and \(\mathbb{P}\) is probabilistic measure. Denote \(A \subset \Omega\) where Paul wins. By additivity of measure we know that

\(\mathbb{P}(A) + \mathbb{P}(\Omega \setminus A) = \mathbb{P}(\Omega) = 1\).

So

\(\mathbb{P}(\Omega \setminus A) = 1 - \mathbb{P}(A) = 1 - p\).

But \(\Omega \setminus A\) is exactly the set where Paul does not win. Q.E.D.

The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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Answer:

87 degrees

Step-by-step explanation:

since 37 degrees + angle 1 equals to 124 degrees,  in order to found the measurement of angle 1 you just have to do  124 - 37 which is equal to 87 degrees, so 87 degrees is your answer.

The smallest number of eggs that could have been in the box is 1134

The problem is to find the smallest number of eggs that could have been in the box, given the remainder when taking them out by different numbers. Here are the moves toward tackling it:

Allow n to be the quantity of eggs in the container. Then we have the accompanying arrangement of congruences:

n ≡ 1 (mod 2)

n ≡ 1 (mod 3)

n ≡ 1 (mod 4)

n ≡ 1 (mod 5)

n ≡ 1 (mod 6)

n ≡ 0 (mod 7)

For this problem, we have k = 6 k = 6, a i = {1,1,1,1,1,0} a_i = {1,1,1,1,1,0}, M i = {1260,840,630,504,420,720} M_i = {1260,840,630,504,420,720}, and y i = {−1,−2,−3,-4,-5,-6} y_i = {-1,-2,-3,-4,-5,-6}.

Plugging these values into the formula and simplifying modulo 5040, we get:

n = (−1260 + −1680 + −1890 + −2016 + −2100 + 0) mod 5040

n = (−8946) mod 5040

n = (−3906) mod 5040

n = 1134 mod 5040

Therefore, the smallest number of eggs that could have been in the box is 1134

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So just plug in the numbers (x,y) into the equations.

A) (7.5, -5)

2(7.5) -5 = 10

15 - 5 = 10 yup, this works.

Let's see if it works for other equation.

-2(7.5) + 2(-5) = 5

-15 - 10 = 5 nope, this does not work.

B) (-2.5, -5)

2(-2.5) - 5 = 10

-5 - 5 = 10 nope, doesn't work

Since it doesn't work we don't need to try for other equation.

C) (2.5, 5)

2(2.5) + 5 = 10

5 + 5 = 10 yup, this works.

Now the other equation.

-2(2.5) + 2(5) = 5

-5 + 10 = 5 and this works.

So the solution to this set is answer choice C

The partial derivatives ∂N/∂u, ∂N/∂v, and ∂N/∂w when u=9, v=4, and w=3 are:

\(∂N/∂u = 96\)

\(∂N/∂v = 19\)

\(∂N/∂w = 35\)

To find the indicated partial derivatives, we can use the chain rule of differentiation. Starting with ∂N/∂u, we have:

\(∂N/∂u = (∂N/∂p) \times (∂p/∂u) + (∂N/∂q) \times (∂q/∂u) + (∂N/∂r) \times (∂r/∂u)\)

Substituting the given values for p, q, and r, we get:

\(∂N/∂u = (1 + q) \times 1 + (p + r) \times w + u \times w\)

Using the values of p, q, and r in terms of u, v, and w, we get:

\(∂N/∂u = (1 + v + uw) + (u + vw + w + uv) \times 3 + 9 \times 3\)

Simplifying the expression, we get:

\(∂N/∂u = 60 + 4u + 3v + 12w\)

We can find ∂N/∂v and ∂N/∂w by applying the chain rule of differentiation and using the given values for u, v, and w. Substituting the values, we get:

\(∂N/∂v = 3u + 4 + 3w\)

\(∂N/∂w = 3u + 3v + 2\)

The chain rule allows us to find the partial derivatives of a function with respect to its variables, by breaking down the function into its component parts and differentiating each part separately.

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Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Step-by-step explanation:

You can use this app is call symbols and it's completely free.

Hope this helps

Answer:

a, e, u, o, q, r, s, t, u is the union

The critical-value of test statistic "t" for the given one-tailed hypothesis test with a sample size of 18 and a significance level of α = 0.05 is (c) 1.740.

To find the critical-value of the test-statistic "t" for a one-tailed (upper tail) hypothesis-test with a sample-size of 18 and a significance-level of α = 0.05, we use the given information :

Sample-Size (n) = 18

Significance level (α) = 0.05

Since it is a one-tailed (upper tail) test, we find the critical-value corresponding to a cumulative probability of 1 - α = 1 - 0.05 = 0.95.

The degrees of freedom (df) for a one-sample t-test with a sample size of 18 is calculated as (n - 1) = (18 - 1) = 17.

We know that, a 17 degrees-of-freedom and a cumulative probability of 0.95, the critical value of the test statistic "t" is approximately 1.740.

Therefore, the correct option is (c).

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The given question is incomplete, the complete question is

For a one-tailed (upper tail) hypothesis test with a sample size of 18 and α = 0.05 level of significance, the critical-value of the test statistic "t" is​

(a) ​2.110

(b) ​1.645

(c) ​1.740

(d) ​1.734.

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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Answer: 6.4 hours

Step-by-step explanation:

From the question, we are informed that Vik wrote the equation 470h = 3,008, where,

h = number of hours used by the plane.

To solve for h, goes thus:

470h = 3008

Divide both side by 470

470h/470 = 3008/470

h = 6.4 hours

Therefore, 6.4 hours was used by the plane.

Answer:

y= mx+b

y= 4x+b

-1=4(1)+b

-1=4+b

-4 -4

-5=b

y = 4x -5

Step-by-step explanation:

The measure of the length AD will be 4cm.

What is are of triangle?

The area of a triangle is the region enclosed by its sides. The area of a triangle differs from one triangle to another depending on the length of the sides and the internal angles. Triangle areas are expressed using square measurements like m2, cm2, and in2. One right angle or two perpendicular sides are both acceptable for right triangles. They may also be known as orthogonal triangles, right-perpendicular triangles, or originally rectangular triangles. Trigonometry's foundation is formed by the relationship between the sides and other angles of a right triangle.

2 / 1= AD / 2

AD=4 cm

Hence The measure of the length AD will be 4cm.

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Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

Answer:

(0,1)

Step-by-step explanation:

If you plug in    f(x)=\(\sqrt{x}\)     and     g(x)=\(x^{2}\)     into the calculator, you will find that from 0 to 1 that f(x) is rises above g(x). The parentheses are not [ ] because the question is not asking for greater than or equal to.

Answer:

(0,1)

Step-by-step explanation:

Answer:

49

hope it helps, kaul

thanks

Answer:

49

Step-by-step explanation:

\( { (\sqrt[3]{343} )}^{2} \)

(B.E.D.M.A.S rule) [First within the brackets]

\({ (\sqrt[3]{7 \times 7 \times 7} )}^{2} \)

\( {7}^{2} \)

[Then exponents]

= 49 (Ans)

There will be 12 combination of  different king-queen.

When grouping objects or figuring out how many subgroups can be created from a given collection of objects, combinations are employed. We also employ permutations to calculate the number of possible combinations of unrelated things.

To determine the number of different king-queen combinations, we need to multiply the number of candidates for king by the number of candidates for queen. In this case, there are four candidates for homecoming queen and three candidates for king.

There are 4 candidates for queen and 3 candidates for king, so:

4 x 3 = 12

Therefore, the total number of different king-queen combinations is 4 multiplied by 3, which equals 12. So, there are 12 different king-queen combinations.

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Answer: 30 gallons

Step-by-step explanation:

First translate 2 hours into 120 minutes.  Then multiply 120 * 4 = 480.  Then divide 480/16 = 30