Write an argumentative essay in which you state and defend a claim about whether it is ethical to target uninformed consumers. (MUST BE 150 WORDS)

Answer:

C

Step-by-step explanation:

using the addition formula for sine

sin(A + B) = sinAcosB + cosAsinB

note that [tex]\frac{7\pi }{12}[/tex] = [tex]\frac{\pi }{3}[/tex] + [tex]\frac{\pi }{4}[/tex] , then

sin [tex]\frac{7\pi }{12}[/tex]

= sin([tex]\frac{\pi }{3}[/tex] + [tex]\frac{\pi }{4}[/tex] )

= sin[tex]\frac{\pi }{3}[/tex]cos[tex]\frac{\pi }{4}[/tex] + cos[tex]\frac{\pi }{3}[/tex]sin[tex]\frac{\pi }{4}[/tex]

= ( [tex]\frac{\sqrt{3} }{2}[/tex] × [tex]\frac{\sqrt{2} }{2}[/tex] ) + ([tex]\frac{1}{2}[/tex] × [tex]\frac{\sqrt{2} }{2}[/tex] )

= [tex]\frac{\sqrt{6} }{4}[/tex] + [tex]\frac{\sqrt{2} }{4}[/tex]

= [tex]\frac{\sqrt{2}+\sqrt{6} }{4}[/tex]

Answer:

B. 4^15*5^10

Step-by-step explanation:

First you can take the out-out-outside exponent and "pass it out" to both the numerator and the denominator. When you have a power raised to a power, you MULTIPLY the exponents. See image.

Next you can "fix" a negative exponent by pushing it across the fraction bar. As it passes across the fraction bar, the exponent changes sign. So the -10 exponent on the bottom, becomes a positive 10 exponent on top. See image.

Answer:

48

Step-by-step explanation:

So I attached an image explaining how I solved the problem, but essentially you use the Pythagorean Theorem to define the two other sides, which I named "a" and "b", and then defined them in terms of x, using the Pythagorean Theorem. I finally defined the hypotenuse of the entire triangle which is 36+64 in terms of these two equations. Once that entire thing was set up it was a matter of solving for x, to get 48

Answer:

yes

no

yes

Step-by-step explanation:

sin C = opp/hyp = 9/15 yes

tan B = opp/adj = 12/9 no

tan B = 12/9; B = tan^-1 12/9 = 53.13°

Answer: The answer is D

Step-by-step explanation:

Due to length restrictions, we cannot summarize the results of the three parts about the quadratic equations of the form x² + b · x + c = 0. We kindly invite to check the explanation for further details.

In this question we have several exercises with quadratic equations of the form x² + b · x + c = 0 and, to be more exactly, quadratic equations with the following characteristics:

x² - (r₁ + r₂) · x + r₁ · r₂ = 0      (1)

Please notice that the first grade coefficient is equal to the inverse of the sum of the two roots and the zero grade coefficient is the product of the two coefficients.

Now we proceed to resolve all the points:

Part I

a) (x + 17) · (x + 1) = x² + 18 · x + 18, r₁ = - 17, r₂ = - 1

b) (x + 5) · (x + 4) = x² + 9 · x + 20, r₁ = - 5, r₂ = - 4

c) (x - 11) · (x - 1) = x² - 12 · x + 11, r₁ = 11, r₂ = 1

d) (x - 18) · (x - 2) = x² - 20 · x + 36, r₁ = 18, r₂ = 2

Part II

a) x² - 12 · x + 27

b) (x + 4) · (x + 8)

c) (x - 5) · (x - 7)

d) (x - 4) · (x - 5)

Part III

a) (x - 18) · (x + 3) = x² - 15 · x - 54

b) (x + 18) · (x + 3) = x² + 21 · x + 54

c) (x + 18) · (x - 3) = x² + 15 · x - 54

d) (x - 18) · (x - 3) = x² - 21 · x + 54

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The solutions to the given system of equations are x = 6 and y = -5

From the question, we are to solve the given system of equations

The given system of equation is

4x+5y=-1

-5x-8y=10

Multiply the first equation by 5 and the second equation by 4

5× (4x+5y=-1)

4× (-5x-8y=10)

20x + 25y = -5

-20x - 32y = 40

------------------------

0x + (-7y) = 35

-7y = 35

y = 35/-7

y = -5

Substitute the value of y into the first equation to find x

4x + 5y = -1

4x + 5(-5) = -1

4x -25 = -1

4x = -1 +25

4x = 24

x = 24/4

x = 6

Hence, the solutions to the given system of equations are x = 6 and y = -5

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In quadrant IV, [tex]\sin(A)[/tex] is negative. So

[tex]\sin^2(A) + \cos^2(A) = 1 \implies \sin(A) = -\sqrt{1-\cos^2(A)} = -\dfrac35 = \boxed{-0.6000}[/tex]

Using a trigonometric identity, the cosine of the angle is given as follows:

[tex]\cos{\theta} = \frac{60}{61}[/tex]

It is given by:

[tex]\sin^2{\theta} + \cos^2{\theta} = 1[/tex]

In this problem, the sine is:

[tex]\sin{\theta} = \frac{11}{61}[/tex]

Then:

[tex]\cos^2{\theta} = 1 - \sin^2{\theta}[/tex]

[tex]\cos^2{\theta} = 1 - \left(\frac{11}{61}\right)^2[/tex]

[tex]\cos^2{\theta} = \frac{3600}{3721}[/tex]

[tex]\cos{\theta} = \pm \sqrt{\frac{3600}{3721}}[/tex]

On quadrant I, the cosine is positive, hence:

[tex]\cos{\theta} = \frac{60}{61}[/tex]

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Let the missing number x

So, ATQ

[tex] \frac{3}{14} \times x = 6[/tex]

[tex] \frac{14}{3} \times \frac{3}{14} x = 6 \times \frac{14}{3} [/tex]

[tex] \frac{1}{3} \times 3x = \frac{14}{3} \times 6[/tex]

[tex]x = \frac{14}{3} \times 6[/tex]

[tex]x = 14 \times 2[/tex]

[tex]x = 28[/tex]

Therefore, 3/14 of 28 is 6...

Answer:

28

Step-by-step explanation:

Let the number we are looking for = [tex]x[/tex]

∴ [tex]\frac{3}{14}[/tex] of [tex]x[/tex] is 6

⇒  [tex]\frac{3}{14}[/tex]   ×  [tex]x = 6[/tex]

• Divide both sides of equation by  [tex]\frac{3}{14}[/tex] :

⇒  [tex]x = 6 \div \frac{3}{14}[/tex]

⇒ [tex]x = 28[/tex]

∴ The missing part is 28.

Answer:

x = 753.6 ft

Step-by-step explanation:

One leg is x.

The other leg is given.

The trig function that relates the two legs of a right triangle is the tangent.

tan A = opp/adj

tan 37° = x/1000ft

x = 1000 ft × tan 37°

x = 753.6 ft

Answer: 753.6 feet

Step-by-step explanation:

The angle, theta, is 37 degrees. However, we're not given the length of the hypotenuse in this case. So sine would be x by the hypotenuse and cosine would be 1,000 by the hypotenuse. In this case, we can use tangent, which is sine/cosine. In this case, tan 37 = x/1,000.

Hence,

tan 37 = x/1,000

x = tan 37 * 1000

x is approximately 753.6, rounded to the nearest tenth.

Answer:

a(b+c) = a into b + a*c

So, 79(457+35) = 79*457 + 79*35

Step-by-step explanation:

The area of the circle is 78.5 unit square.

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point.

The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.

The formula for area of circle is;

Area = [tex]\pi[/tex](radius)²

The distance between the two points are calculated by distance formula.

[tex]\begin{aligned}&d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}} \\&d=\text { distance } \\&\left(x_{1}, y_{1}\right)=\text { coordinates of the first point } \\&\left(x_{2}, y_{2}\right)=\text { coordinates of the second point }\end{aligned}[/tex]

Calculation for the area of the circle;

As, the radius of the circle is xy.

The distance between x and y points will be calculated by the distance formula.

x=(0,3)  y=(-3,-1)

[tex]\begin{aligned}&d=\sqrt{\left(-3-0\right)^{2}+\left(-1-3\right)^{2}} \\\end{aligned}[/tex]

[tex]\begin{aligned}&d=\sqrt{\left(-3\right)^{2}+\left(-4\right)^{2}} \\\end{aligned}[/tex]

[tex]\begin{aligned}&d=\sqrt{25} \\\end{aligned}[/tex]

[tex]d=5[/tex]

As, distance between x and y point is 5 units which is the radius of the circle.

Area of circle = [tex]\pi[/tex](radius)²

                      = 3.14×(5)²

                      = 78.5

Therefore, the area of the circle is 78.5 unit square.

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Answer:160ft^3

Step-by-step explanation:

Volume=(bh/2)h

V=(5ftx8ft/2)8ft

V=20x8=160

Volume=160ft^3

HOPE YOU GET IT RIGHT:)!

The total amount of money Levi spent on renting movie and buying candy is $5.75

Total = Amount Levi rented movie + A package of candy

= $3.20 + $2.55

= $5.75

Therefore, the total money spent by Levi is $5.75

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The steps in Mia's method were smaller than in Jenna's, which was an advantage.

The same result will be obtained by adding the products of multiplying the sum of two or more addends by a number as opposed to multiplying each addend separately by the number.

The direct algorithm process suggested in this paper is known as the direct calculation method (DCM), and it can deal with using confinement loss as an incremental step to simulate the effect of moving tunnel face excavation, calculating the stresses and displacements in each step, and drawing the results.

Jenna's technique:

[tex]\begin{aligned}&5(30+4) \\&=(5)(30)+(5)(4) \\&=150+20 \\&=170\end{aligned}[/tex]

Mia's technique:

[tex]\begin{aligned}&5(30+4) \\&=(5)(34) \\&=170\end{aligned}[/tex]

Both used the right approach, albeit in different ways.

One uses the distributive property, whereas the other uses direct calculation.

Consequently, Jenna and Mia came to the same conclusion.

However, Mia's approach has one advantage over Jenna's: it requires fewer steps.

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Answer:

4, 4√3

Step-by-step explanation:

In a 30-60-90 triangle:

The leg opposite of the 30-degree angle is 1/2 of the hypotenuse: 8/2 = 4

The longer leg is √3 times the shorter leg: 4*√3 = 4√3

Check work: 4^2+(4√3)^2 = 8^2 --> 16+48 = 64 --> 64 = 64

Nani could purchase her pineapple from stores A, D, and E.

Given Information

It is given that Nani needs to purchase  8 cups of pineapple.

The unit prices of pineapple at each store is as follows,

Store A : 0.49

Store B : 0.51

Store C : 0.55

Store D : 0.48

Store E : 0.45

Amount that Nani has = $4

Reason Behind Purchasing From Either A, D, or E

Since Nani has amount of $4, she can purchase pineapple only from the stores where the total cost of 8 pineapple cups adds up to less than $4. The purchase of 8 pineapple cups at each store would be given as,

Store A : 0.49(8) = $3.92

Store B : 0.51(8) = $4.08

Store C : 0.55(8) = $4.40

Store D : 0.48(8) = $3.84

Store E : 0.45(8) = $3.60

As it can be seen, Nani can purchase from the store A, D, and E as it falls within her budget of $4.

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Answer:

Federal tax

Step-by-step explanation:

It is used for tax returns, given out by federal govt

Answer:

C. federal Tax.

Step-by-step explanation:

/     \

/      \

Mark and Don have 18  and 92 marbles respectively.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.

Let the number of marbles Mark has be x.

According to the question,

Don has (5x+2) marbles.

Total number of marbles=110

Thus, the required equation is:

x+5x+2=110

6x=108

x=108/6

x=18

Mark has 18 marbles.

Don has (5*18+2)=92 marbles.

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Answer:

0.4 pages per minute

Step-by-step explanation:

40/100 = .4

The median number of computers owned by the 17 students is 2.

A dataset's median represents the midpoint; half of the data points are smaller and half are greater than the median.

Identifying the median: The data points should be arranged from smallest to largest. The median is the middle data point in the list if the number of data points is odd.

The total number of students are 17.

The data can be arranged in the following table

number of students        number of computers

             6                                         1

             3                                         2

             3                                         3

             2                                         4

             3                                         5

Arrange the given frequencies in the increasing order-

1 1 1 1 1 1 2 2 2 3 3 3 4 4 5 5 5

The middle term of the arrange frequencies is 17/2 = 8.5

Median = (8 term + 9 term)/2

            = (2 + 2)/2

            = 2

Therefore, the median number of computers owned by the 17 students is 2.

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The correct question is -

Of the 17 students in a programming class, 6 own 1 computer, 3 own 2 computers, 3 own 3 computers, 2 own 4

computers, and 3 own 5 computers. What is the median number of computers owned by the 17 students?

The value of sample size n in this statement according to a confidence interval is 350.

According to the statement

we have a given that the value of error and population proportion and we have to find the value of sample size.

So, we know that the

confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Here

p represent the real population proportion of interest

ρ represent the estimated proportion for the sample

n is the sample size required (variable of interest)

z represent the critical value for the margin of error

So, The population proportion have the following distribution  

P≈n ( p, ([p (1-p)]/n)^1/2)

Here In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by  α = 1 - 0.95 = 0.05

and α/2 = 0.025 And the critical value would be given by:  

z = 1.96

And on this case we have that ME = ±0.05 and we are interested in order to find the value of n, if we solve n from equation (a) we got the value

n = 0.35(1-0.35) / (0.05/1.96)^2

so, the value becomes

n = 350.

So, The value of sample size n in this statement is 350.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

In a survey, the planning value for the population proportion is p* = 0.35. How large a sample should be taken to provide a 95% confidence interval with a margin of error of 0.05?

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The probability that the number of tested rafts that develop cracks is no more than 3 is .00006.

The true proportion, p for the population is given to 0.12.

Thus, the mean, μ, for the sample = np = 27*0.12 = 3.24.

The sample size, n, given to us is 27.

Thus, the standard deviation, s, for the sample can be calculated using the formula, s = √{p(1 - p)}/n.

s = √{0.12(1 - 0.12)}/27 = √0.003911 = 0.0625389.

We are asked to calculate the probability that the number of tested rafts that develop cracks is no more than 3, that is, we need to calculate P(X ≤3).

P(X ≤ 3)

= P(Z ≤ {(3 - 3.24)/0.0625389) {Using the formula z = (x - μ)/s}

= P(Z ≤ -3.8376114706)

= .00006 {From table}.

Thus, the probability that the number of tested rafts that develop cracks is no more than 3 is .00006.

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Answer:

Let the number be a.

==: a + (5x³-2x²+3x+7) = (7x³+7x-5)

==: a = (7x³+7x-5) - (5x³-2x²+3x+7)

==: a = 7x³ + 7x - 5 - 5x³+ 2x² - 3x - 7

==: a = 2x³ + 2x² + 4x - 12

i guess this is the process if you don't understand i can explain more

A set of vectors {v1,v2,...,vk} is linearly independent if the vector equation x1v1 + x2v2 + .......... + xkvk = 0 has only the trivial solution

x1 = x2 = .... = xk =0. Then the set  {v1,v2,...,vk} is linearly dependent otherwise.

So putting in the formula we get

x1u1 + x2u2 + x3u3 = 0

x1u1 + x2u2 = -x3u3

au1 + bu2 = u3               ∵ (-x1/x3 = a & -x2/x3 = b)

On putting in the values

a(3,-1) + b(4,5) = (-4,7)

(3a+4b,-a+5b) = (-4,7)

On comparing we get

3a + 4b = -4 -(1)

-a + 5b = 7  -(2)

on solving these equations we get

b = 17/19 and a= -48/19

which is non trivial.

Thus the following form linearly dependent sets of vectors.

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Answer: 10

Step-by-step explanation:

If [tex]-5 < x < 5[/tex], then [tex]|x-5|=5-x[/tex] and [tex]|x+5|=x+5[/tex].

So, the expression is equal to 10.

Answer:

x=-2, 2

Step-by-step explanation:

Aighty check this out

[tex]f(x) = \frac{ {x}^{2} + 3x + 6 }{ {x}^{2} - 4 } = = = > \\(x + 2)(x - 2) \\ so \: x = - 2 \: and \: x = 2 \: are \: not \: defined \: \\ and \: are \: the \: candidates [/tex]

if non of the root give out 0/0 both can be the asymptotes:

[tex]f(2) = \frac{{2}^{2} + 3(2) + 6 }{ { - 2}^{2} + 4 } = = = > \\ f(2) = \frac{16}{0} [/tex]

this one is OK

[tex]f( - 2) = \frac{ { - 2}^{2} + 3( - 2) + 6}{ { - 2}^{2} + 4 } = = = > \\ f( - 2) = \frac{4}{0} [/tex]

so is this one

so the asymptotes are x=-2, 2