Answer to this required:

Answer:

0 1 2 3

Step-by-step explanation:

Since n is an integer

We have n = { 0 1 2 3 }

Answer:

$18.28

Step-by-step explanation:

To complete this problem is a straightforward answer:

First, you add 14.75 + 1.03 which equals $15.78 then, you'll want to add 2.50 to 15.78 and there you have your answer!!

Answer:

22/7

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

(30–60)= –30

[‐30÷(–30)]²=1

{1–15}=–14

–14÷(–7)=2

Answer:

511 million km²

Step-by-Step Explanation:

Let the total surface area of the Earth be x.

Water covers 70.7% of the total surface area of the Earth, i.e.,

70.7% of x = 3.61 x 10⁸ km²

or, 70.7x /100 = 3.61 x 10⁸ km²

or, 707x/1000 = 3.61 x 10⁸ km²

or, 707x = 3.61 x 10⁸ x 1000km²

or, 707x = 3.61 × 10^11 km²

or, x = 0.0051 × 10^11 km²

or, x = 5.1 × 10⁸ km² = 511 million km²

Hope it helps.

If you have any query, feel free to ask .

Answer:

511 million km²

Step-by-step explanation:

Let x be the approximate total surface area of the Earth.

Given water covers 70.7%, or about 3.61 × 10⁸ km², set up an equivalent ratio of percent (in decimal form) to area:

\(\implies 0.707:3.61 \times 10^8=1:x\)

Solve for x:

\(\implies\dfrac{0.707}{3.61 \times 10^8}=\dfrac{1}{x}\)

\(\implies0.707x=3.61 \times 10^8\)

\(\implies x=\dfrac{3.61 \times 10^8}{0.707}\)

\(\implies x=\dfrac{3.61 }{0.707}\times 10^8\)

\(\implies x=5.10608203...\times 10^8\)

One million has 6 zeros and can be written in scientific notation as:

Therefore, to write x in millions as x × 10⁶, subtract 2 from the exponent and move the decimal point to the right by 2 places:

\(\implies x=510.608203...\times 10^6\)

Therefore, the approximate surface area of the Earth is 510.608203... million km², which is 511 million km² to the nearest million.

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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Answer:

Below

Step-by-step explanation:

Line AB is of the form y = mx + b    where m is the slope = 2

 Line BC is perpendicular to this and will have slope - 1/m = - 1/2   and includes the point C (0,6)

 The point slope form of line BC will then be

     ( y-6) = - 1/2 ( x - 0)    which can be re-arranged to

       y = - 1/2x + 6     < ==== equation for line BC

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be  fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

The well-knοwn straightfοrward apprοach, actual variables, and any relevant infοrmatiοn frοm the initial and specialist questiοns can all be used tο finish the assignment. Custοmers may be given anοther chance tο try the gοοds in respοnse. If nοt, significant expressiοn in οur understanding οf prοgrams will be lοst.

Here,

We must figure οut hοw many pairs οf sunglasses must be sοld tο cοver the fixed and variable cοsts in οrder tο reach the break-even pοint.

Assume that X sunglasses must be sοld tο break even.

Fixed cοst plus variable cοst equals tοtal cοst.

Selling price x Number οf units sοld equals tοtal revenue.

The tοtal revenue and entire expense are equal at the break-even pοint.

Thus, we can cοnstruct the equatiοn:

Fixed cοst plus variable cοst multiplied by the selling price equals the quantity sοld.

=>  $9.44 X = $748,374 + $2.19 X

=>  $9.44 X - $2.19 X = $748,374

=>  $7.25 X = $748,374

=>  X = $748,374 / $7.25

=>   X = 103,184

Therefοre, fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

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Question 2:

Solution:

The sum of 15 and a number x is given by the following expression:

By comparing this expression with the names given in the right box of the image, we can remove the following suspect:

Ms. Manns.

Based on the annual premium, the cash value of the policy, and the number of years, the traditional net cost of this policy over the first 10 years is 5.76.

First, find the net cost over 10 years:

= Total premium over 10 years - cash value

= (1,608 x 10) - 13,740

= $2,340

The net cost per year is:
= 2,340 / 10

= $234

The traditional net cost of this policy, per thousand per year for the first 10 years is:

= 234 / 50,000 x 1,000

= 4.68

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Answer:

6b+1/4

Step-by-step explanation:

4b+2b+1/4

6b+1/4

cant do anything else because only the b can be added.

Answer: I think the answer is A.

Sorry if I'm wrong.

Answer: 1 and 7/8 of a mile

Step-by-step explanation:

3/8 of 5 is 1.875, and 0.875 as a fraction is 7/8.

The domain and the range of the relation are Domain = -4, -3, 2, 3, 4 and Range = 2, -1, -4, 4, 3, respectively

The graph is given as an attachment

From the graph, we have the following ordered pairs

(x, y) = (-4, 2), (-3, -1), (2, -4), (3, 4), (4, 3)

Separate the x and the y values

x = -4, -3, 2, 3, 4

y = 2, -1, -4, 4, 3

The above represents

Domain = -4, -3, 2, 3, 4

Range = 2, -1, -4, 4, 3

Hence, the domain and the range of the relation are Domain = -4, -3, 2, 3, 4 and Range = 2, -1, -4, 4, 3, respectively

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To find the percent of discount, find the absolute discount by substracting the final price from the original price. Then, divide the absolute discount by the original price and multiply the result by 100%:

Absolute discount:

Since AB is parallel to CD, we have alternate interior angles forming when transversal CE intersects the parallel lines. Therefore,

mZDCE = mZECB (Alternate Interior Angles)

(7x + 2) = (x + 8) (Substitute in the given angle measures)

Solving for x, we get:

7x + 2 = x + 8

6x = 6

x = 1

Now, we can use x to find the measure of angle ZDCE:

mZDCE = (7x + 2)

= (7*1 + 2)

= 9

Therefore, the measure of angle ZDCE is 9 degrees.

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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Answer:

2

Step-by-step explanation:

\( \frac{8x}{4x - 7} - \frac{14}{4x - 7} \\ \\ = \frac{8x - 14}{4x - 7} \\ \\ = \frac{2 \cancel{(4x - 7)}}{\cancel{(4x - 7)}} \\ \\ = 2\)

Answer:

27

Step-by-step explanation:

a+bx : a=15, b=−4, and x=−3

15+(−4)(-3)

15+12

=27

Answer:

66.4°

Step-by-step explanation:

From the question given above, the following data were obtained:

Adjacent = 6 cm

Hypothenus = 15 cm

Angle Y =?

Angle Y can be obtained by using the cosine ratio as illustrated below:

Cos Y = Adjacent / Hypothenus

Cos Y = 6/15

Cos Y = 0.4

Take the inverse of Cos

Y = Cos¯¹ 0.4

Y = 66.4°

Therefore, angle XYZ is 66.4°

The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.

The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?

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Answer:

If the packages are the same size and everything and has the same volume, then it would be 1/6 more of a package.

Step-by-step explanation:

1/6

1/6

1/6

1/3 is equal to 2/6 because you can multiply the numerator (the top) and the denominator (the bottom number in a fraction) by 2 to get 2/6. The pepperoni usage of the package was 2/6, while the sausage was 1/6.

2/6 minus (-) 1/6 is equal to 1/6.

anwers: is 15 because I did 30 percent of 50

Answer:

2x - 3 ( equivalent leg)

perimeter = 20

20 = 2 (2x - 3) + 2x

20 = 4x - 6 + 2x

20 = 6x - 6

26 = 6x

x = 4.3333

Base = 2(4.33333) = 8.6666...

Answer:

11:33 why

Step-by-step explanation:

Rewriting 4 x 3/6 as the product of a unit fraction and a whole number is: 12 * 1/6

The parameters are given as:

Number - 4

Fraction - 3/6

The following steps can be used to determine the product as the product of a whole number and a unit fraction:

Step 1 - Remember the whole number are those numbers that involve all positive integers and zero.

Step 2 - Also remember that the unit fraction is nothing but a fraction whose numerator is 1.

Step 3 - Write the given expression.

4 * 3/6

Step 4 - Convert the given fraction into a unit fraction by multiplying 4 by 3 in the above expression.

4 * 3 * 1/6

Step 5 - Simplify the above expression.

12 * 1/6

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A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).

In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).

This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:

(x, y)                                              →                 (-x, y).

\(f(x) = \frac{3}{8} (4)^x\)                               →              \(g(x) = \frac{3}{8} (4)^{-x}\)

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a) Composite function fog(x) = 3/(x+3)

b) Domain of fog(x) in interval notation = (-∞,-3)∪(-3,∞)

A function is a process or a relation that associates each element 'a' of a set A , to a single element 'b' of another set B.

Given functions,

f(x) = x/(x+2)

g(x) = 6/x

a) (fog)(x) = f(g(x))

= f(6/x)

= (6/x)/((6/x) + 2)

= 6/x((6/x) + 2)

= 6/(6 + 2x)

= 3/(x+3)

fog(x) = 3/(x+3)

b) Domain of (fog)(x)

y = 3/(x+3)

For domain y = 0

⇒ x+3  = 0

⇒ x  = -3

But the function gets undefined for x = -3

So, Domain x ≠ -3

⇒ x > -3 or x < -3

Domain set Interval Notation : (-∞,-3)∪(-3,∞)

Hence, value of composite function

fog(x) = 3/(x + 3)

Domain of fog(x) : (-∞,-3)∪(-3,∞)

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Answer:

The length of the rectangle is 32 feet.

Step-by-step explanation:

The area of a rectangle is found by length × width.

So to use the area to find the length, you divide it by the width.

352 ÷ 11 = 32

hope this helps :)

(200 - 100√2) / 16 is the rectangular form of the product c1*c2 for an equilateral triangle's vertices.

A triangle is a three-sided polygon that is sometimes (but not always) referred to as the trigon. Every triangle has three sides and three angles, which may or may not be the same.

Here,

An equilateral triangle is a triangle with three equal sides. If 3-2i, 6-i, and c form the vertices of an equilateral triangle, then the distance between 3-2i and 6-i is equal to the distance between 3-2i and c.

The distance between two complex numbers a + bi and c + di can be found using the formula:

√((c - a)² + (d - b)²)

So, the distance between 3-2i and 6-i is:

√((6 - 3)² + (-1 - (-2))²) = √((3)² + (1)²) = √(9 + 1) = √10

And the distance between 3-2i and c is:

√((c - 3)² + (c - (-2))²) = √((c - 3)² + (c + 2)²)

Since these distances must be equal, we have:

√((c - 3)² + (c + 2)²) = √10

Squaring both sides:

(c - 3)² + (c + 2)² = 10

Expanding both sides:

c² - 6c + 9 + c² + 4c + 4 = 10

Combining like terms:

2c² + 10c + 5 = 10

Subtracting 10 from both sides:

2c² + 10c - 5 = 0

This is a quadratic equation, which can be solved using the quadratic formula:

c = (-b ± √(b² - 4ac)) / 2a

Where a = 2, b = 10, and c = -5. Plugging these values into the formula:

c = (-10 ± √(10² - 4 * 2 * -5)) / 2 * 2

c = (-10 ± √(100 + 40)) / 4

c = (-10 ± √(140)) / 4

c = (-10 ± 10√2) / 4

So there are two complex solutions, c1 = (-10 + 10√2) / 4 and c2 = (-10 - 10√2) / 4.

The product of these two solutions is:

c1 * c2 = ((-10 + 10√2) / 4) * ((-10 - 10√2) / 4)

= (100 - 100√2 + 100) / 16

= (200 - 100√2) / 16

(200 - 100√2) / 16 is the answer in rectangular form for the product c1*c2 for the vertices of an equilateral triangle.

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