Evaluate √63− 4√7. i need help asap

Answer:

x=3

Step-by-step explanation:

If y is 15 when x is 5, and y =f(x), then the equation is y=3x. Substitute in 9 for y, and do the algebra, and you will get 3. Hope this helped :D

The value of x is 3 when y = 9.

When two quantities are proportional, it means that they can be expressed as a ratio or a fraction, and this ratio remains constant as the values of the quantities change.

If y varies directly as x, it means that the ratio of y to x remains constant.

We can express this relationship as y = kx, where k is the constant of variation.

To find the value of k, we can use the given information that y = 15 when x = 5:

15 = k . 5

Dividing both sides of the equation by 5, we get:

k = 15/5

k = 3

Now that we have the value of k, we can substitute it into the equation

y = kx to find x when y = 9:

9 = 3x

Dividing both sides of the equation by 3, we get:

x = 9/3

x = 3

Therefore, when y = 9, x = 3.

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Answer:

410 is the outlier.

What is an outlier?

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. In a sense, this definition leaves it up to the analyst (or a consensus process) to decide what will be considered abnormal.

In simpler words, it is the number that is significantly bigger or smaller than the rest of the numbers, and 410 is it.

Step-by-step explanation:

Hope it helps! =D

Answer:

3!

Explanation:

By calling a sunny weather "beautiful" and rainy weather "depressing", you're inserting your own opinion into the question- which makes it biased!

The perimeter of a triangle is the sum of all its sides.

Triangles is a 3×3 cited only going with three angles and three side it is one of the most basic fundamental safe in the geometry and is used in many different area of 10 science triangle are also after used in the architecture art in other area of the designing triangle came in many other different form.

To find the perimeter, we must first calculate the lengths of the sides of the triangle. To do this, we must use the properties of trigonometric functions.

In the first question, cos A =  \(\frac{21}{29}\). Using the law of cosines, we know that \(a^{2}\) = \(b^{2}\) + \(c^{2}\) - 2bc cos A. Thus, the length of side a can be found by substituting the given values and solving for a.

In the second question, sin A = \(\frac{10}{26}\). Using the law of sines, we know that \(\frac{a}{sin A}\) = \(\frac{b}{sin B}\) = \(\frac{c}{sin C}\). Thus, the length of side a can be found by substituting the given values and solving for a.

In the third question, tan A = \(\frac{15}{8}\). Using the law of tangents, we know that \(\frac{a}{tan A}\) = \(\frac{b}{tan B}\) = \(\frac{c}{tan C}\). Thus, the length of side a can be found by substituting the given values and solving for a.

In the fourth question, cos A = \(\frac{12}{37}\). Using the law of cosines, we know that \(a^{2}\) = \(b^{2}\) + \(c^{2}\) - 2bc cos A. Thus, the length of side a can be found by substituting the given values and solving for a.

In the fifth question, tan A = \(\frac{12}{16}\). Using the law of tangents, we know that \(\frac{a}{tan A}\) = \(\frac{b}{tan B}\) = \(\frac{c}{tan C}\). Thus, the length of side a can be found by substituting the given values and solving for a.

Once we have the lengths of all sides, we can then calculate the perimeter of the triangle by simply adding all the side lengths together. Therefore, the perimeter of the triangle can be found by using the properties of trigonometric functions to calculate the lengths of the sides, and then adding all the side lengths together.

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Some information that someone might use to solve problems related to a circle design is the Tangent Arc theorem.

The tangent arc theorem states that if an angle is formed by two secants, one secant, one tangent, or two tangents, and also intersects in a space outside of the circle, then the value obtained will be equal to the difference of the values of the intercepted arcs divided by one and a half.

Also, note that angles outside a circle are those whose vertex or arc is pointed outwards and their sides are either secants or tangents. With this information, it will be possible to solve problems related to tangent lines and arc measures.

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Answer:

Hamburgers and pizza are preferred almost equally.

Step-by-step explanation:

Both numbers are very close to each other

After diving the polynomials, the quotient and remainder is q(x)=-x^2+1 and r(x)=-1 respectively.

What are polynomials?

The word "polynomial" is derived from the Greek words "poly" and "nominal," which combined translate to "many phrases." There is no limit to the number of terms that can exist in a polynomial.

The polynomials are -

a(x)=-x^4

b(x)=x^2+1

Divide a(x) by b(x).

-x^4/x^2+1 = -x^2+1 with remainder as -1.

The quotient is obtained as q(x)=-x^2+1 and the remainder is r(x)=-1.

The given equation is -

a(x)/b(x)=q(x)+[r(x)/b(x)]

Plugging in all the values -

-x^4/x^2+1=-x^2+1+[-1/x^2+1]

[-x^4/x^2+1]-[-1/x^2+1]=-x^2-1

-x^4+1/x^2+1=-x^2-1

-x^4+1=[-x^2+1][x^2+1]

-x^4+1=(-x)^2[x^2+1]+(1)[x^2+1]

-x^4+1=-x^4-x^2+x^2+1

-x^4+1=-x^4-1

So, LHS=RHS is proved using the equation.

Therefore, the quotient is q(x)=-x^2+1 and the remainder is r(x)=-1.

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Answer:

Hi Wdym m=by 100% of will give me 93

Step-by-step explanation:

Answer:

$2.75

Step-by-step explanation:

We know that the random persons total was $5.50. To figure out how much one loaf of bread costs we must first, divide $5.50 by 2. We get 2.75. Then, to double check our answer we multiply that by 3 to get 8.25. We know that Micah' s total was $9.00. 9 minus 8.25 equals 0.75.

That price is very reasonable, for a jug of milk, so we know that $2.75 is the answer.

Hope this helped :)

Answer:

A. 27 sq. units

Step-by-step explanation:

A = 1/2 · b · h

A = 1/2 · 3 · 18

A = 1/2 · 54

A = 27 sq. units

Answer:A-27

Step-by-step explanation:

A=1/2 18*3=27

To find the maximum value of ε > 0 such that |f(x) - 3| < ε whenever 0 < |x - 0| < 8, we can use a graphing utility to analyze the behavior of the function f(x) = x² + 3. The right answer is (b) ε = 1.5, corresponding to option B, 8 = 1.414.

By plotting the graph of f(x) = x² + 3, we can observe that as x approaches 0, the value of f(x) approaches 3. Therefore, the limit of f(x) as x approaches 0 is indeed 3.

Now, we need to find the maximum value of ε such that |f(x) - 3| < ε holds true whenever 0 < |x - 0| < 8. This means that the function f(x) must stay within a distance of ε from the value 3 for all x within a distance of 8 from 0.

Using a graphing utility, we can visually determine that when ε = 1.5, the function f(x) remains within a distance of 1.5 from 3 for all x within a distance of 8 from 0. Therefore, 8 = 1.414 is the maximum value of ε that satisfies the given condition.

Hence, the correct answer is option B, 8 = 1.414.

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The arc measure is 110° and the measures in the quadrilateral are x° is 46° and y° is 163°

We have to find the measure of arc x°

We know that the Arcs can be measured in degrees.

The degree of an arc is equal to the measure of the central arc that creates the arc

The central arc measures 110°

So x° = 110°

The complete measure of the quadrilateral is 360 degrees

As x° is equal to 46°

x° =46°

Now let us find y°

46°+46°+105°+y°=360

y°=360-197

y°=163°

Hence, the arc measure is 110° and the measures in the quadrilateral are x° is 46° and y° is 163°

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Answer:

160 people in total

Step-by-step explanation:

The table shows the starting and ending elevations of a hiking trail. Point on Trail Elevation Starting Point 180 ft below sea level Ending Point 260 ft above sea level How much greater is the elevation of the ending point than the starting point for the trail

To find the eigenvectors, we will need to substitute the eigenvalues into the equation (A-λI)x = 0. To calculate the eigenvectors for each of the eigenvalues, we have;

For λ1 = 4, we have, (A-λ1I)x = 0⎡⎣⎢2-4 0 -20 4 0-2 0 5-4⎤⎦⎥x = 0

The above equation gives us the system of equations, -2x1 - 2x3 = 0x2 = 0-2x1 + x3 = 0

Solving the above equations, we get, x1 = -x3

Therefore, the eigenvector is given by, x1⎡⎣⎢−1
0
1⎤⎦⎥Now, we normalize the eigenvector by dividing it with its magnitude which is √2 and we get, x1⎡⎣⎢−1/√2
0
1/√2⎤⎦⎥For λ2 = 7 - √33,

we have, (A-λ2I)x = 0⎡⎣⎢2-(7-√33) 0 -20 4 0-2 0 5-(7-√33)⎤⎦⎥x = 0

The above equation gives us the system of equations, -1 + (√33-7)x1 - 2x3 = 0x2 = 0-2x1 - (√33-2)x3 = 0

Solving the above equations, we get, x1 = -x3(√33 - 7)x1

= 1

Therefore, the eigenvector is given by, x2⎡⎣⎢1/(√33 - 7)
0
-1/(√33 - 7)⎤⎦⎥For λ3 = 7 + √33,

we have, (A-λ3I)x =

0⎡⎣⎢2-(7+√33) 0 -20 4 0-2 0 5-(7+√33)⎤⎦⎥

x = 0

The above equation gives us the system of equations, -1 - (√33+7)x1 - 2x3

= 0x2

= 0-2x1 - (√33+2)x3

= 0

Solving the above equations, we get, x1 = -x3(-√33 - 7)x1 = 1

Therefore, the eigenvector is given by, x3⎡⎣⎢1/(-√33 - 7)0-1/(-√33 - 7)⎤⎦⎥

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Answer:

Step-by-step explanation:

Answer:

27 : 100

Step-by-step explanation:

Given :

__________ no cold ____ cold _____ total

Vitamin C ___ 41 ________ 15 ______ 56

Zinc _______ 12 _________5 ______ 17

Echinacea __ 21 _________ 6 ______ 27

Total ______ 74 _________ 26 ____ 100

The ratio of people who took Echinacea :

Number of people who took Echinacea : total number of people in the survey

From the TOTAL column:

Number of people who took Echinacea = 27

Total Number of people in survey = 100

Hence, ratio equals :

27 : 100

Answer:

(a) Find the probability that Bob understands Alice correctly.

The probability that Alice will send 1 and Bob will receive it correctly is P, and the probability that she sends a 0 and Bob receives it correctly is 1 – p. Bob will receive the 1 correctly only if the noise is not below -½, and he will receive the 0 correctly only if the is not above ½.  

Therefore, the probability of receiving both messages correctly is:

P = P(Noise ≤ ½) x (1 – p) + P(Noise ≥ -½) x p

Since the probability of the noise is normally distributed, then:

P(Noise ≤ ½)  = P(Noise ≥ -½)  

Therefore,  

P(Noise ≤ ½)  = P(N/σ ≤ ½σ) = ½σ

(b) What happens to the result from (a) if σ is very small? What about if σ is very large? Explain intuitively why the results in these extreme cases make sense.

Think about this case intuitively, if the noise level is very low and σ is low, then the probability of understanding the message correctly is very high. If σ is low, then ½σ will be high. On the other hand, if the noise level is very high and σ is high, then the probability of understanding the message correctly will be much lower (½σ will be low). Bob will probably be guessing if its a 1 or a 0.

Just imagine when you are trying to talk with someone and there is a lot of noise, you will not be able to understand all the words correctly if the noise level is too high.

The required probability is \(P(Bob\ interpreted\ right) = \phi (0.5/ \sigma)\)

It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Let A is the code Alice sent and B is the code Bob received.

We have \(B = A + E\)  where E is the error term with \(N(0,\sigma^2)\)

So, \(B|(A=0)\sim N(0,\sigma^2)\) and \(Y|(A=1)\simN(1,\sigma^2)\)

\(P(Bob\ interpreted\ right)= P(Alice\ sent 0) \times P(Bob\ Received\ 0) + P ( Alice\ sent\ 1) \times P( Bob\ received\ 1)\)

Let the probability that Alice sent 0 be p so \(P(X=0) = p\) and \(P(X=1) = 1-p\)

\(P(Bob\ interpreted\ right)= P (B\le 0.5|A= 0)P(A=0) + P(B > 0.5|B = 1)P(A=1)\)

Let's calculate \(P (B\le 0.5|A = 0); as\ B |(A = 0) \sim N(0, \sigma^2 )\)

So, \(P (B\le 0.5|A = 0)\) will be calculated by \(Z –value = \frac{0.5}{\sigma}\)

So, \(P (B\le 0.5|A = 0) = \phi (0.5/ \sigma)\)

So, \(P(Bob\ interpreted\ right) = p \times \phi (0.5/ \sigma) + (1-p) \times \phi (0.5/ \sigma) \\= \phi (0.5/ \sigma)\)

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I hope this helps ;)

Answer:

i wuv you

Step-by-step explanation:

The answer would be four times.

Step-by-step explanation:

4×1=4

Answer:

825x, X, 36500000x

Evaluate using scientific notation

PLZ let me know if im wrong!!!

Answer:

400 total .... 120 officers

Step-by-step explanation:

.7 X = 280

x=400

Answer:

30% of 280 is 84.

What I did to find the answer was multiply 280 by 3 then divide by 10.

I checked it with a calculator and got the same result being 84.

SSS is the correct response because two triangles are considered to be congruent when all three of their respective sides and all three of their corresponding angles have the same measure.

Triangles that really are precisely the same in size and shape are said to be congruent. The symbol is in the term congruent. Two triangles are said to have been congruent when the three sides as well as three angles of one triangle have the identical dimensions as the three sides as well as three angles of another triangle.

Write the names of the vertices as shown below, starting with triangle DAB and triangle BCD.

AB = CD

DA = BC

The sides BD are identical in both triangles, so,

BD = BD

Since the triangles DAB and BCD have the same three sides, we may infer that they are congruent using the SSS property of a congruent triangle.

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The expression that represents the volume of the cylinder, in cubic units, is:

\($$V = 2\pi x^3$$\)

The expression that represents the volume of a cylinder in cubic units is given by the formula:

\($$V = \pi r^2h$$\)

where \($r$\) is the radius of the base of the cylinder and \($h$\) is the height of the cylinder.

Now, let's consider each option provided:

\(1. $4\pi x^2$\)

This expression only includes the radius, but it does not include the height of the cylinder, so it cannot be the correct answer.

\(2. $2\pi x^3$\)

This expression includes both the radius and the height of the cylinder, but it does not include the squared term for the radius, so it cannot be the correct answer.

\(3. $\pi x^2$\)

This expression includes the squared term for the radius, but it does not include the height of the cylinder, so it cannot be the correct answer.

\(4. $2x$\)

This expression only includes a single variable, which is neither the radius nor the height of the cylinder, so it cannot be the correct answer.

\(5. $2\pi x^3$\)

This expression includes both the squared term for the radius and the height of the cylinder, so it is the correct answer.

Therefore, the expression that represents the volume of the cylinder, in cubic units, is:

\($$V = 2\pi x^3$$\)

This formula can be used to calculate the volume of a cylinder given the value of its radius and height.

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Answer:

4 times because it was 4 feet

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

4 was wrong did a test and the anserwer was 3

Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

The area of the polygon is 25.5 square units

From the figure, we have the following coordinates

A = (-2, 1)

B = (3, 2)

C = (5, -3)

D = (-1, -3)

The area of the polygon is then calculated as:

A = 0.5 * |(x1y2 - x2y1) + (x2y3 - x3y2) + (x3y4 - x4y3) + (x4y1 - x1y4)|

Substitute the known values in the above equation

Area = 0.5 * |(-2 * 2 - 3 * 1) + (3 * -3  - 5 * 2) + (5 * -3  + 1 * -3) + (-1 * 1 + 2 * -3)|

Evaluate the sum of products

Area = 0.5 * |-51|

Remove the absolute bracket

Area = 0.5 * 51

Evaluate the product

Area = 25.5

Hence, the area of the polygon is 25.5 square units

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Answer:

It's 7.5 in khan academy.

Step-by-step explanation:

The probability of 2 customers in the system is 0.1418.

In order to find the probability of 2 customers in the system, the M/M/1 queuing model is to be applied.

M/M/1 model is a single-server queue model that assumes a Poisson arrival pattern and an exponential service pattern.

The service time is exponential and has a mean of 5 minutes.

Let's start calculating the values for the M/M/1 model:

For arrival rate, λ = 7 customers per hour

For service rate, μ = 12 customers per hour

The utilization factor can be determined using the following formula:ρ = λ/μ = 7/12

                                                                                                                               = 0.5833

The probability of 2 customers in the system can be found using the following formula:

P2 = (1 - ρ)(ρ)2= (1 - 0.5833)(0.5833)2

     = 0.1418

Therefore, the probability of 2 customers in the system is option B, i.e., 0.1418.

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Passive genotype-environment correlations occur when individuals are exposed to an environment that is influenced by their genetic makeup through the actions and choices of others.

In the given scenario, Bobby's dad being a banker and having a love for numbers creates an environment that is rich in arithmetic-related activities and discussions. This environment exposes Bobby to numerical concepts, problem-solving, and arithmetic tasks from an early age.

Bobby's genetic predisposition, combined with the supportive environment created by his dad, contributes to the development of his arithmetic skills.

The passive nature of this genotype-environment correlation means that Bobby's genetic traits for numerical aptitude are not actively sought out or selected, but rather, he is born into an environment that aligns with his innate abilities.

Over time, Bobby's exposure to arithmetic-related activities and his natural inclination towards numbers may lead to the development of his arithmetic skills. This passive genotype-environment correlation highlights how individuals' genetic traits and the environment they are raised in can interact to shape their abilities and interests.

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