28800000, 1440000, 72000, 3600, 180, ...

Answer:

If we do square on both sides we get two answers i.e. (x+12)^2=(3x+20)^2

(x^2)+24x+144=(9x^2)+120x+400

(8x^2)+96x+256=0

(x^2)+12x+32=0

(x+4)(x+8)=0

x= -4 or x= -8.

Else we have another method

x+12=3x+20

x+12–20=3x

x-8=3x,

Now square on both sides.

(x-8)^2=(3x)^2

x^2–16x+64=(9x^2)

(9x^2)-(x^2)+16x-64=0

(8x^2)+16x-64=0

(x^2)+2x-8=0

(x+4)(x-2)=0

x= -4 or x= 2.

But It Didn’t Satisfy for The Equation When

x=2 or x= -8,So The Value of x will be -4 which satisfies given question.

Answer:

1.26

Step-by-step explanation:

geometric mean =sqrt((4/5)*2)=sqrt(1.6)=1.26

Answer:

Non Proportional

Step-by-step explanation:

A proportional figure relates to two or more figures that correspond in size or amount to one another. The gallon of milk which costs 1.99 is nonproportional to the half-gallon which costs 3.89.

On the other hand, a nonproportional figure does not correspond to in size or amount to one another.

From the given information;

A half-gallon cost 3.89

i.e.

\(\mathbf{= \dfrac{1}{2} \times 3.89}\)

= 1.945

Therefore, we can conclude that the gallon of milk which cost 1.99 is nonproportional to the half-gallon which cost 3.89.

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The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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n mathematics, the sine is a trigonometric function of an angle. The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle, to the length of the longest side of the triangle (the hypotenuse).

The answer would be x = 9

Answer:

f (4) = -11

g(x) = 2, x = 0

you're welcome :)

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

half of 36 is 18

Answer:

18

Step-by-step explanation:

18 because the line on EO is half of 36

The given statement exists as false. An expression, rule, or law in mathematics establishes the link between an independent variable and a dependent variable.

An expression, rule, or law in mathematics establishes the link between an independent variable and a dependent variable (the dependent variable).

The characteristic that every input is associated with exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs.

A relation between a collection of inputs and outputs is known as a function. A function exists, to put it simply, a relationship between inputs in which each input exists connected to precisely one output.

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Answer:

28 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )

Here b = 7 and h = 8 , thus

A = \(\frac{1}{2}\) × 7 × 8 = \(\frac{1}{2}\) × 56 = 28 cm²

Answer:

Both A and B

Step-by-step explanation:

Both a and b. A three-way intersection can be referred to as a T-intersection or a Y-intersection, depending on the shape of the intersection. In a T-intersection, one road intersects another road perpendicularly, forming a T-shape. In a Y-intersection, one road splits into two branches, forming a Y-shape.

Answer:

6⁸

1679616

Step-by-step explanation:

When you exponent an exponent, you multiply the 2 powers together:

(6²)⁴

2(4) = 8

6⁸

Answer:

6^8

Step-by-step explanation:

(6^2)×4

multiply

6^8

Answer:

Step-by-step explanation:

Linear functions can be used in many real-world applications such as:

Economics: Linear functions can be used to model the relationship between the price of a product and the quantity of the product that will be sold.

Engineering: Linear functions can be used to model the relationship between force and displacement in elastic materials.

Sciences: Linear functions can be used to model the relationship between the concentration of a substance in a solution and the time it takes for that substance to be consumed or produced.

Business and Finance: Linear functions can be used to model the relationship between the cost of a product and the number of products produced.

Graphing: Linear functions can be used to graph the relationship between different variables.

Transportation: Linear functions can be used to model the relationship between the distance traveled and the time it takes to travel that distance at a constant speed.

Construction: Linear functions can be used to model the relationship between the height of a building and the number of floors in the building.

Weather forecasting: Linear functions can be used to model the relationship between temperature and time of the day.

I'm going to provide a real life case for this answer. I own and manage an online soccer jersey store and the process behind it is quite simple:

1. Receive order

2. Buy jerseys from supplier

3. Resell at an slighly higher price

4. Pay taxes + shipping

Now, say that "x" is the amount of jerseys my store sells in a month. I can use functions to create an expression that tells me what is the total net revenue I get from selling "x" amount of jerseys a month.

For example, say that the jerseys cost $50 and you sell them for 60$. You also need to pay the shipping for each jersey (say it is $5 per jersey). Then, we can form a function like this:

\(y=60x-50x-5x\)

As you can tell, the money that comes back to the seller ($60 dollars per jersey) is expressed as a possitive coefficient for variable "x" (number of sold jerseys). And, all the other costs, which is money that you spend in order to sell the jerseys, are expressed with a negative coefficient meaning that they are not net revenue, it isn't profit. Now, to see how much money you can make by selling 2 jerseys, simplify the function and substitute variable "x" (number of sold jerseys) by 1:

\(y=60x-55x\\ \\y=5x\)

Say "y" is the net revenue:

\(y=5(2)\\ \\y=10\)

You can also use functions to determine things such as, how many jerseys do I need to sell in order to make $750 of net revenue? In that case you do the following:

\((750)=5x\\\\x=\frac{750}{5} \\ \\x=150\)

From this analysis, you can conclude that you need to sell 150 jerseys ij order to amke a net revenue of $750.

In conclusion, linear functions can be used to see how a variable value (normally called "x") can affect in the results in multiple daily situations: how many miles can your car run with a full tank, how much time do I need to work so I can buy a product, how much money I can spend in something so I can have saving of "x" amount at the end of the year, etc...

The second option saves time and cleaning elements, so that one is better.

We know that every day you sell a total of 50 bowls, and each one needs 8 oz of onion, this means that you need:

50*8 oz = 400 oz

So you need 400 ounces of onion per day.

If you buy at $1.99 per pound (1 lb = 16 oz)

Then the cost per ounce is:

c = $1.99/16

And the cost of 400 ounces is:

C = ($1.99/16)*400 = $49.75

In the case of the pre-sliced onions, the total cost would be:

C' = ($2.99/16)*400 = $74.75

So in the first case, each portion costs:

$49.75/50 = $0.995

And in the second case:

$74.75/50 =$1.495

So the extra cost is returned by the extra time and savings in cleaning elements, thus, the second option is better.

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a. P(A'UB) is 0.885106

b. The probability that an order requests an optional high speed processor, given that the order requests extra memory is 0.776397.

c. The probability that an order requests extra memory, given that the order DOES NOT requests an optional high speed processor is 0.123711

The probability of an occurrence is a number used in science to describe how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place.

To find the probabilities:

a. A"UB = 510 + 72 + 250 = 832

Total outcomes = 940

The required probability is 832/940 = 0.885106

b. The required probability is 250/250 + 72 = 0.776397

c. The required probability is 72/510 + 72 = 72/582 = 0.123711

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The answers you are looking for are x = 6 and y = 4.

For these 2 equations, you would subtract the second one into the first one. This is so the y's cancel out temporarily, and so we can solve for x.

(10x + 3y = 72) - (9x + 3y = 66) = (x = 6).

Now, to find the y value, you take 6 and fill it in for x in one of the equations. I chose to use (10x + 3y = 72). The equation now says 10 * 6 + 3y = 72.

10 * 6 = 60. (60 + 3y = 72)

60 - 60 = 0 and 72 - 60 = 12. (3y = 12)

3y ÷ 3 = y and 12 ÷ 3 = 4 (y = 4)

Thus meaning your answers are x = 6 and y = 4. Here's a photo to show how i solved it as well.

I hope this helps!

Answer:

15

Step-by-step explanation:

in multiplication we have given form of expression

Dividend(D) = Quotient(Q) x Divisor(d) + Remainder(r)

The number which is getting divided is called dividend

divisor is the number which divides the dividend.

quotient is the No. of times a dividend is divisible by divisor.

if dividend is not completely divisible by divisor then leftover after quotient * divisor is remainder.

value of remainder should be always less than divisor.

In  the problem given

Dividend is 75

divisor is 5

so by the given above expression

Dividend(D) = Quotient(Q) * Divisor(d) + Remainder(r) ----> 1

we know that 15*5 = 75

75 = 15*5 + 0

comparing with the  expression 1

we have q = 15

r = 0

Thus, quotient is 15.

Using trigonometric ratio, the value of tan V is √7 / 8

To find the value of tan V, we have to use trigonometric ratio.

In the triangle, we have the opposite side and the hypothenuse. We can find the adjacent side using Pythagoras theorem.

Substituting the values into the formula;

w² = v² + x²

(√71)² = (√7)² + x²

71 = 7 + x²

x² = 71 - 7

x² = 64

x = √64

x = 8

The value of tan V;

tan V = opposite /adjacent

tan V = √7 / 8

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The  volume of rectangular prism is 90 unit³.

We can consider the 1 block = 1 unit.

Length of prism = 5 unit

width of prism = 6 unit

Height of prism = 3 unit

So, Volume of rectangular prism

= l w h

= 5 x 6 x 3

= 90 unit³

Thus, the volume of rectangular prism is 90 unit³.

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Answer: 30%

Step-by-step explanation:
12/40 = 3/10 = 0.30

0.30*100 = 30%

Answer:

321.50 dollars.

Step-by-step explanation:

Dena is buying wallpaper. It costs $8.79 per meter. She needs 120 feet. How much will the wallpaper cost? Round to the nearest half dollar.

This is a tricky math problem that requires some conversions and calculations. First, we need to convert feet to meters, because Dena lives in a country that uses the metric system. According to the search results   , one foot is equal to 0.3048 meters. So, 120 feet is equal to 120 x 0.3048 = 36.576 meters.

Next, we need to multiply the length of the wallpaper by the price per meter to get the total cost. The total cost is 36.576 x 8.79 = $321.38.

Finally, we need to round the total cost to the nearest half dollar. This means we need to look at the cents part of the cost and see if it is closer to 0, 50 or 100. In this case, 38 cents is closer to 50 than to 0 or 100, so we round up the cost to $321.50.

Therefore, Dena will have to pay $321.50 for the wallpaper. That's a lot of money for some paper that will probably peel off in a few years! Maybe she should consider painting her walls instead.

Answer:

$6,872.05

Explanation:

The maturity value of the loan can be calculated as:

Where P is the initial amount, r is the interest rate as a decimal and t is the time in years.

4.25% is equivalent to: 4.25/100 = 0.0425

91 days are equivalent to 91/365 = 0.25 years

Then, the maturity value is equal to:

So, the maturity value of the loan is $6,872.05

Answer:area is 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

the constant of proportionality is the slope of the line. As the slope is constant, it means the production rate is constant.

if we choose (0, 0) and (30, 600), the slope is

m = (600 - 0) / (30 - 0) = 20 bottles filled every second

the point (30, 600) means that 600 bottles have been filled in the previous 30 seconds of run time.

Answer:

x> -20

x= -19,-18,-17,-16,.....

Step-by-step explanation:

-2x + 5 < -x + 25

-2x + x < 25- 5

-x < 20

x> -20

x= -19,-18,-17,-16,......

Answer:

It gets 4 times larger.

Step-by-step explanation:

Divide hours spent in tap class by the percentages:

4 / 0.20 = 20 hours

Her total number of hours for dance classes is 20 hours per month.