How many solutions does the equation 9 (x - 3) = 9x - 27 have?

Answer:

Step-by-step explanation:

perp. -2

y + 6 = -2(x - 3)

y + 6 = -2x + 6

y = -2x

Answer:

negative 38

Step-by-step explanation:

The requried population increased by approximately 60.53%.

To find the absolute increase, we subtract the initial population from the final population:

Absolute increase = Final population - Initial population

Absolute increase = 6100 - 3800

Absolute increase = 2300

Therefore, the population increased by 2300 people.

To find the relative increase, we first calculate the percent change:

Percent change = (New value - Old value) / Old value x 100%

Percent change = (6100 - 3800) / 3800 x 100%

Percent change = 2300 / 3800 x 100%

Percent change = 60.53%

Therefore, the population increased by approximately 60.53%.

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All you ned to do is move the decimal point backward

That is;

9 150 000 000 000 000 000

9.15 x 10¹⁸

Answer:

10.7

Step-by-step explanation:

Since this is a right triangle, we can use trig functions to calculate the hypotenuse.

We know the opposite side from the angle labeled 59 degrees.

sin 59 = opp side / hypotenuse

sin 59 = 9.2/x

x = 9.2/ sin 59

x = 10.733

The given Mayan number which is : :|| :|| in decimal (base 10) is 42.

The Mayan number system is a base-20 system that uses three symbols: a dot (.), a horizontal bar (|), and a shell-like symbol (:). The symbol for zero is a shell-like symbol (:).

To convert the given Mayan number to decimal (base 10), we need to understand the positional value of each symbol. Each position in the number represents a power of 20, with the rightmost position being 20⁰, the next position to the left being 20¹, and so on.

The Mayan number given, : :|| :||, can be broken down as follows:

The leftmost position has no symbol, which represents a value of 0.

The second position from the left has two shell-like symbols (:), which represents a value of 2x20¹ = 40.

The third position from the left has two horizontal bars (||), which represents a value of 2x20⁰ = 2.

The given Mayan number in decimal (base 10) is 40 + 2 = 42.

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Complete question is:

Convert the following Mayan number to decimal (base 10).

: :|| :||

The linear function for the total cost C is:

A function is an expression, rule, or law that defines a relationship between one variable.

Example:

\(f(\text{x}) = 2\text{x} + 1\)

\(f(1) = 2 + 1 = 3\)

\(f(2) = 2 \times 2 + 1 = 4 + 1 = 5\)

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The total cost for x cubic yards.

\(\bold{C = 28 + 48x}\)

Thus, the function is C = 28 + 48x.

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The sum accumulated by 31st December 2018 is Rs 4,163,060.00

What is future value?

Future value is the accumulated amount that investments would yield in future period when the amounts invested are added with the total interest earned.

Note in this case that Rs500,000  would be invested subsequently for 4 years( 2015-2018 , January 1st of each year)

We can determine the future value of each investment using the future value formula shown below:

FV=PV*(1+r)^N

PV=amount invested

r=interest=10%

N=number of years that an amount is invested(for instance, the amount invested on 1st January 2014 will earn interest in 2014,2015,2016, 2017 and 2018 i.e. for 4 years)

Total FV=1,000,000*(1+10%)^5+500,000*(1+10%)^4+500,000*(1+10%)^3+500,000*(1+10%)^2+500,000*(1+10%)^1

Total FV=Rs 4,163,060.00

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Step-by-step explanation:

there is something severely wrong with the problem definition.

when the Hypotenuse = 9, there is no 30-60-90 triangle with a leg = 6.

and when we are just focusing that this is a right-angled triangle with the Hypotenuse = 9, then 6 cannot be the longer leg.

it is also not clear what the solution is supposed to be. the 2nd leg ? the area ? the perimeter ? the height(s) ? ...

what ?

so, all I can do here is to show you why I said what I said :

30-60-90 triangle with Hypotenuse = 9

then the longer leg is opposite of the 60° angle and therefore sin(60)×9 = 7.794228634...

the shorter leg is opposite of the 30° angle and therefore sin(30)×9 = 0.5×9 = 4.5

a right-angled triangle with Hypotenuse = 9, one leg = 6 gives us per Pythagoras for the other leg

9² = 6² + leg²

81 = 36 + leg²

45 = leg²

leg = sqrt(45) = 6.708203932...

so, you see, as stated above, there is no leg with the length 6 in such a 30-60-90 triangle.

and in a more general right-angled triangle, if one leg = 6, then the other leg is actually longer.

therefore, there is everything wrong with the problem definition.

The value of x for this problem, considering the two secant theorem, is given as follows:

x = 15.

The value of c is obtained applying the two secant segment theorem, which means that the following equation will hold true:

8(8 + 19) = 9(9 + x).

(we add the two parts), with the outer part being the multiplier.

Solving the equation, we have that the value of x is given as follows:

27 x 8 = 9/(9 + x)

9 + x = 3 x 8

9 + x = 24

x = 15.

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To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:

\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)

To simplify this expression, we can expand the square:

\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)

Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)

Next, let's find g(f(x)). We substitute f(x) into the function g(x):

\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)

Hence, g(f(x)) simplifies to 1/x^2.

In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.

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Answer:

When an outline exists.

Step-by-step explanation:

As compared to the range, the interquatile range is somewhat resistant to the outliers. This is because the interquartile range itself is not always affected by the outliers if they lie at both ends of the data sets.

The IQR only describes the range of the middle 50% of the values in a data set, which is calculated as the difference between the 75th and 25th percentile values.

It also helps in the identification of these outliers using mild outliers being those values lower than the 25th quartile minus 1.5×IQR, or those values greater than the 75th quartile plus 1.5×IQR.

First we can find the length of 'a' using law of cosines:

Now we can calculate the area of the triangle using Heron's formula:

Where p is the semiperimeter of the triangle. So we have that:

So the area of the triangle is 222.3 ft².

Answer:

9y+63

Step-by-step explanation:

Answer:

8\sqrt(2)

Step-by-step explanation:

The length of the side d would be 77/18.

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

or

\(\dfrac{a}{b}\)

If triangles DEF and NPQ are similar, then

7/9 = d/ (11/2)

By cross multiply

9d = 7 x 11/2

d = 77/2 ÷ 9

d = 77/18

Thus, The length of the side d would be 77/18.

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Answer:

No photo?

Step-by-step explanation:

Answer:

If you could put a picture that would really be Great!:)

Answer:

A

Step-by-step explanation:

as a negitive 1/2 is closer than 3/4

Answer:

1) 30 pounds is the weight of the bag all together

2) science book is the heaviest book

Step-by-step explanation:

bag=4 pounds

library book=2 pounds

maths book=2×4=8 pounds

science book=8×2=16 pounds

4+2+8+16=30 pounds all together

heaviest book= science book (16 pounds)

Answer:

A

Step-by-step explanation:

Answer:

this is Easy, the answer is A.

Step-by-step explanation:

just count the number of squares which is 3, and then count the number of circles which is 6.

Using basic operations, it is found that you have 12 eggs.

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Answer:

Corresponding

Step-by-step explanation:

They are on the same side which makes them corresponding angles

Answer:

A

Explanation:

Given the expression;

We want to simplify;

Therefore, the given expression can be simplified to;

Assuming supply and demand are linear, the equilibrium price is equal to $252 and the equilibrium quantity is equal to 2,016 items.

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

First of all, we would determine a linear function for both supply and demand by finding the slope using this formula as follows:

\(Slope,\;m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope,\;m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Note: price (p) in dollars would be the output and quantity (q) would be the input.

For supply, the points include the following:

Slope, m = (330 - 180)/(2640 - 1440)

Slope, m = 150/1200

Slope, m = 1/8.

Next, we would find the y-intercept at (1,440, 180):

p = qm + c

180 = 1/8(1440) + c

180 = 180 + c

c = 0.

Therefore, the supply equation is p = q/8.

For demand, the points include the following:

Slope, m = (330 - 180)/(1,470 - 2,520)

Slope, m = 150/-1,050

Slope, m = -1/7.

Next, we would find the y-intercept at (2,520, 180):

p = qm + c

180 = -1/7(2,520) + c

180 = -360 + c

c = 180 + 360.

y-intercept, c = 540.

Therefore, the demand equation is p = -q/7 + 540.

In order to find the equilibrium price and quantity, we would set the supply equal to the demand:

q/8 = -q/7 + 540

Multiplying all through by 56, we have:

7q = -8q + 30,240

15q = 30,240

q = 30,240/15

Equilibrium quantity, q = 2,016 items.

For the equilibrium price, we have:

p = q/8

p = 2,016/8

Equilibrium price, p = $252.

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Answer:

33%

Step-by-step explanation:

Since the probability of rain on Thursday is 67%, the probability of no rain on Thursday is 100% - 67% = 33%.

Answer:

the answer is 4

Step-by-step explanation:

none of the options are right

Answer:

2563

Step-by-step explanation:

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