Select the correct symbol to compare the expressions below.
14 x 2
Choose...
x2

Answer: Completely Randomized

Step-by-step explanation:

effect of one primary factor rather than many different variables

As per the question the retailer wants to study the return policy that can increase the buying behavior and selects a random sample of 2000.

Hence the option D is correct.

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The electric field is the derivative of the electric potential with respect to position. So we can find the electric field by finding the derivative of V(y) with respect to y.

What does a math function mean?

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variablevariable).

dV/dy = 8y - 3

So, at position y=6, the electric field is E = dV/dy = 8*6 - 3 = 45

Therefore, the magnitude of the electric field at position (2,6) is 45 N/C.

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Answer:

i dont really know im only in 7th grade but if i did you would be the first one id answer to :D

Step-by-step explanation:

The inequality that represents the situation is x + y ≥ 80 , It has been plotted and attached with the answer.

An Inequality is a mathematical statement used to relate two algebraic expression using an inequality operator.

It is given that

Malia needs to spend at least 80 hours in swim practice this month.

Her events are backstroke and freestyle.

Let x represents time given for practising backstroke.

Let y represents time given for practising freestyle.

Then as asked the inequality that represents the situation is

x + y ≥ 80

This inequality has been plotted and attached with the answer.

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5 ounces per week x 12 weeks = 60 ounces

1 pound = 16 ounces

60 / 16 = 3 pounds 12 ounces

3 pounds 12 ounces + 8 pounds 3 ounces = 11 pounds 15 ounces

answer: 11 pounds 15 ounces

The point at (60, 55) represents an item with an original price of $60 that is now being sold at a sale price of $55.

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

We are given that;

The point at (60, 55)

Now,

This means that customers who enter the special discount code can save $5 on this particular item.

In general, the point (x, y) on the graph represents an item with an original price of x dollars that is being sold at a sale price of y dollars. The graph is showing how the sale price of items changes as the original price increases.

Therefore, by the graph the answer will be $60 and $55.

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Answer: No

To check if (-5,6) is a solution to the equation y=-7, we need to substitute -5 for x and 6 for y in the equation.

If the equation is true, then the ordered pair is a solution to the equation.

If we put (-5,6) into y=-7, we get 6=-7, which is not true.

So, (-5,6) is not a solution to the equation y=-7.

The outcomes that are contained in the events are

1 - P(X) = 4/5 and 1 - P(X) is the same as P(Not X)

From the question, we have the following parameters that can be used in our computation:

X = gray colours

Given that

gray colours = 3 and 10

We have

X = 3 and 10

Not X =1, 2, 4, 5, 6, 7, 8

The probability is then calculated as

P(X) = 2/10 = 1/5

For P(Not X), we have

P(Not X) = 1 - 1/5 = 4/5

In (a), we have

P(Not X) = 1 - 1/5 = 4/5

This means that

P(Not X) = 1 - P(X)

So, the solution is

1 - P(X) = 4/5

Using the above (a) and (b) as a guide, we have the following:

1 - P(X) is the same as P(Not X)

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Answer:

tan(θ)= dn/de

θ=arctan(dn/de)

Step-by-step explanation:

Answer:what do u need help on

Step-by-step explanation:

Answer:

it’s 4

Step-by-step explanation:

The equation of the hyperbola is \(\frac{(x-2)^2}{16}+ \frac{y^2}{9}=1\).

Given,

slopes of asymptotes=±\(\frac{3}{4}\)

From given graph,

it is observed that the vertices of hyperbola are (-2,0) and(6,0).

In general the equation of asymptote can be written as y=±\(\frac{b}{a}\)x

on comparing a=4 and b=3

As the vertices and foci are on line parallel to x-axis, the standard form of equation will be \(\frac{(x-h)^2}{a^2}+ \frac{(y-k)^2}{b^2}=1\)

Where, (h,k) is the centre of hyperbola

find the mid point of the two vertices to determine (h,k)

\((h,k)=(\frac{x1+x2}{2},\frac{y1+y2}{2})\\\\(h,k)=(\frac{-2+6}{2},\frac{0+0}{2})\\\\(h,k)=(2,0)\)

Equation will be

\(\frac{(x-2)^2}{4^2}+ \frac{(y-0)^2}{3^2}=1\\\\\frac{(x-2)^2}{16}+ \frac{y^2}{9}=1\)

Thus, the standard form of equation of the hyperbola is \(\frac{(x-2)^2}{16}+ \frac{y^2}{9}=1\).

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Answer:

BD = 16, ∠ BAD = 45°

Step-by-step explanation:

Given that Δ ABC and Δ BAD are congruent, then corresponding sides and corresponding angles are congruent, then

BD = AC = 16

and

∠ BAD = ∠ ABC = 45°

Answer:

BD=16, <BAD=45⁰

the triangle is congruent to triangle BAD is SAS

Answer:

Step-by-step explanation:

First, you could factor 2 out of the whole thing.  The result would be 2(x^2-4x-45). Now we find the factors of 45 which are 1, 45, 5, 9, 15, 3. We have to find the pair that adds up to 4, and multiply to get 45. After some guess and check, we can find that 5 and 9 are those numbers. Now we have to get the right signs. Since the result is a negative number for -8k, and -90, the number that is a negative must be less than the other negative. -9<-5, so the answer would be 2(x-9)(x+5)

The representation that is most appropriate for displaying and describing what is happening to the amount of hot chocolate over time is a Line Plot

A line plot, or dot plot/strip plot, is a simple visual method of displaying data that shows the spread of values on a horizontal scale. A frequent application of it is to graphically display the occurrence or spread of a solitary factor.

A line plot generally displays individual data points as a small dot or short line segment along a specific axis, usually the horizontal axis. The location of the dot or line segment indicates the numerical value of the data point. Usually, the up and down axis showcases the frequency or the number of times a particular value occurs.

With this type of Table, the top is always X and the bottom is always Y.

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Answer:

50 minutes

Step-by-step explanation:

2gal×4 qt in a gallon= 8 qt

8qt× 2pt in a qt= 16pt

16pt÷6 pt= 2.66

2.66×30= 80 min

80min-30min= 50 minutes

3/4 = 12/y

3/4 * y = 12

.25 * y = 12

y = 3

Hope this helps! :)

The zeros and the multiplicities are

from the question, we have the following parameters that can be used in our computation:

f(x) = (x + 6)³(x - 11)²(x - 6)(x + 5)³

The power of each factor are the multiplicities

So, we have

Zero(s) of multiplicity one:

x - 6 = 0

Zero(s) of multiplicity two:

x - 11 = 0

Zero(s) of multiplicity three:

x + 6 = 0 and x + 5 = 0

When evaluated, we have

Zero(s) of multiplicity one:

x = 6

Zero(s) of multiplicity two:

x = 11

Zero(s) of multiplicity three:

x = -6 and x = -5

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Answer:

i think 6 5/8

Step-by-step explanation:

So distribute

-2*-4+-2*1/2=7 1/2

1/4*-4+1/4*1/2=-7/8

7 4/8 - 7/8 is 6 5/8

Answer:

A. (0,4)

B. ( 0,-3)

C (-1,1)

Step-by-step explanation:

Answer:

x = 33

Step-by-step explanation:

4x - 14  = x + 85

3x = 99

x = 99/3

x = 33

Answer:

110

Step-by-step explanation:

The median is the middle line of the box

The median is 110

Answer:

the other person is correct!

Step-by-step explanation:

Answer:

Yes she is correct because the angle 4 is is add together with its consecutive interior angle 5 will be supplementary which will equal 180 degrees and the interior angle 10 is supplementary with the exterior angle 9  which means added together they equal 180 degrees angle 10 is and obtuse and angle 9 is acute. therefore she is correct.

Answer:

Amy is probably wrong

Step-by-step explanation:

Suppose \(f(x) =8^{3x\) and \(g(x) =8^{4x\), function operations that are correct include the following:

A. (f + g)(x) = \(8^{3x} + 8^{4x}\)

B. (f × g)(x) = \(8^{7x}\)

C. (f - g)(x) = \(8^{3x} - 8^{4x}\)

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

By applying the division and multiplication law of exponents for powers of the same base to the functions, we have the following:

(f × g)(x) = \(8^{3x+ 4x}=8^{7x}\)

(f ÷ g)(x) = \(8^{3x- 4x}=8^{-x}\)

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Answer:

4/9 * 7 =3.11111111

Step-by-step explanation:

4/9 * 7 =3.11111111

Answer:

7 times 4/9

Step-by-step explanation:

Its simple lol

Answer:

8.5 years

Step-by-step explanation:

It will take 102 more payments

8.5 years

Interest will be $26,239

It would take approximately 15 years to pay back the loan of 95000 which is compounding monthly and the rate of interest is 6%.

Compound interest is basically the interest which is calculated on the primcipal with addition to aggregate interest. The formula of sum after compounding is as under:

S=P\((1+r/n)^{nt}\) in which P is principal amount, r is rate per annum, n is number of times of compounding and t is time period.

We have been given that the amount of loan is $95000, installment is $1200 , rate of interest is 6% and it is compounded monthly.

First of all we have to find the effective rate=6%/12=0.005.

The future value of 95000 at a rate of 6% compunded monthly should be equal to the amount of all installments. So,

95000\((1+0.005)^{12n}\)=12*1200*n

95000\(1.005^{12n}\)=14400n

\(1.005^{12n}\)=14400n/95000

\(1.005^{12n}\)=0.1515n

We have to make graph of this to find the value of n which after graphing will come approx 15.

Hence it would take 15 years to pay back loan amount.

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The amount of water that must be pumped into the tank to eliminate 50% of the salt is x = V/â (50% of initial s).

The amount of water that must be pumped into the tank to eliminate 50% of the salt can be calculated using the differential equation dsdx=âsV, where s is the amount of salt, x is the amount of water pumped in, and V is the volume of the solution which is 10,000 gallons in this case. This equation can be rearranged to give x=V/âs. To eliminate 50% of the salt, we can set s equal to 50% of its initial value and calculate the corresponding x value. Therefore, the amount of water that must be pumped into the tank to eliminate 50% of the salt is x = V/â (50% of initial s).

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Answer:

(a) \(y = \frac{4}{x^2}\)

(b) \(x = \frac{2}{5}\)

Step-by-step explanation:

Given

Variation: Inverse proportional.

This is represented as:

\(y\ \alpha\ \frac{1}{x^2}\)

See attachment for table

Solving (a):

First convert variation to equation

\(y = k\frac{1}{x^2}\)

From the table:

\((x,y) = (1,4)\)

So, we have:

\(4 = k * \frac{1}{1^2}\)

\(4 = k * \frac{1}{1}\)

\(4 = k * 1\)

\(4 = k\)

\(k = 4\)

Substitute 4 for k in \(y = k\frac{1}{x^2}\)

\(y = 4 * \frac{1}{x^2}\)

\(y = \frac{4}{x^2}\)

Solving (b): x when y = 25.

Substitute 25 for y in \(y = \frac{4}{x^2}\)

\(25 = \frac{4}{x^2}\)

Cross Multiply

\(25 * x^2 = 4\)

Divide through by 25

\(x^2 = \frac{4}{25}\)

Take positive square roots of both sides

\(x = \sqrt{\frac{4}{25}\)

\(x = \frac{2}{5}\)

A functiοn fοr the percentage is P = 25cοs(π/14t) + 25.

In the case οf a functiοn frοm οne set tο the οther, each element οf X receives exactly οne element οf Y. The functiοn's dοmain and cοdοmain are respectively referred tο as the sets X and Y as a whοle. Functiοns were first used tο describe the idealized relatiοnship between twο varying quantities.

Here, we have

Given:

Tο find the percentage οf the full mοοn, we can write an equatiοn in the fοrm P = Acοs(Bt) + C

After 14 days, the percentage οf the mοοn is zerο

A = (max-min)/2 = 50/2 = 25

The periοd = 28 days

P = Acοs(BT = t) + c

B = 2π/periοd = 2π/28 = π/14

c = min + A = 0 + 25 = 25

We get,

P = 25cοs(π/14t) + 25,

Here, p is the percentage οf the mοοn visible cοmpared tο the previοus full mοοn.

Hence, a functiοn fοr the percentage is P = 25cοs(π/14t) + 25.

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Answer:

the probability that the two committees have at least one member in common is approximately 0.3622.

Step-by-step explanation:

To find the probability that two committees have at least one member in common, we can use the complement rule, which states that the probability of an event happening is 1 minus the probability of the event not happening.

Let A be the event that the two committees have no members in common. To calculate the probability of A, we can first find the number of ways to choose three people out of 20 without any overlap, and then use this to find the total number of ways to choose two committees of three people each without any overlap:

Number of ways to choose 3 people out of 20 without overlap:

C(20,3) = (201918)/(321) = 1140

Number of ways to choose 3 people out of 20 with overlap:

C(20,3) - C(2,1)C(17,2) = 1140 - 2(2*136) = 680

The first term is the total number of ways to choose 3 people out of 20, and the second term is the number of ways to choose 3 people out of 20 such that one particular person is included. We multiply by 2 because there are two committees.

The total number of ways to choose two committees of three people each without any overlap is:

C(20,3) * C(17,3) = (1140*680) = 775200

Therefore, the probability that the two committees have no members in common is:

P(A) = 775200 / (C(20,3)*C(17,3)) = 0.6378

So the probability that the two committees have at least one member in common is:

P(at least one member in common) = 1 - P(A) = 1 - 0.6378 = 0.3622

Therefore, the probability that the two committees have at least one member in common is approximately 0.3622.