from 2005 to 2015, a population of lions decreased by 2% annualy. there were 1500 of this population of likns in 2005. how many lions wew left by 2015

Answer:

14.94

Step-by-step explanation:

25/30 = 83.333

.30x83 = 24.9

.60 x 24.9 = 14.94

Answer:50

Step-by-step explanation:

30% to 60% is times 2

So 25 ×2=50

Answer:

In y = 3/2x,     x and y are inversely propotional

In -x = y,      x and y are directly propotional

Step-by-step explanation:

In y = 3/2x, the constant of propotionality is 3/2.

In -x = y, the constant of propotionality is -1.

Answer:

3

Step-by-step explanation:

i believe the rate of change is 3

Answer:

i need help to plz its 75932389 i need help its wrong

Step-by-step explanation:

Part of a financial advisor's job is to allocate money in the best available asset or security (eg: stocks and bonds). So they look at market data and use mathematical models to help judge on where to put money. Their goal is to so called "beat the market", meaning they want to earn the best return compared to other players in the market. Doing so will allow them to "buy low, sell high" which is a common cliche in finance. Though it's a very good rule to follow of course.

The efficient market hypothesis says that whatever the stock price is currently, it reflects everything about that company. In other words, there are no hidden facts that may surprise investors to drastically change the price of the stock. All information is completely transparent. What this means is that anyone can determine where to put their money without the need for a financial advisor.

I don't think demand would be completely wiped out since even if in a 100% transparent environment, people would still prefer to have others manage their money or not want to deal with complicated math formulas. However, demand would be reduced to some degree. In reality, there are always hidden factors that don't fully contribute to the cost of a security, which is why the efficient market hypothesis isn't fully applicable in every situation. So this is likely why financial advisors are in demand and are paid well.

Answer:

32/27

Step-by-step explanation:

The fractional division is draculated as follows:

(a/b) / (c/d) = (a*d) / (b*c)

then:

(8/9) / (3/4) = (8*4) / (9*3) = 32/27

Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

Answer:

1,511 cm²

Step-by-step explanation:

      We will find the surface area, but not include the top.

      This means we will have five sides to calculate for, see attached.     Please note that the area of a rectangle can be found with A = L * W

[1] 19 cm * 10 cm = 190 cm²

[2] 19 cm * 10 cm = 190 cm²

[3] 29 cm * 10 cm = 290 cm²

[4] 29 cm * 10 cm = 290 cm²

[5] 19 cm * 29 cm = 551 cm²

    Add them all together:

190 cm² + 190 cm² + 290 cm² + 290 cm² + 551 cm² = 1,511 cm²

Answer: 132 million

Exponential growth formula: \(P=A e^{rt}\)

[P is final amount, A is initial amount, r is growth rate, x is time intervals]

To find growth rate:

\(112 = 107 e^{r(3)}\)

\(3r= ln(112/107)\)

\(r= ln(112/107)/3 = 0.01522334561\)

Population in 2008:

\(P_{2008}=107 e^{(0.01522334561(14))}\)

\(P_{2008}=132.4169522\)

\(P_{2008}=132\:million \quad (rounded \:to\:nearest\:million)\)

The expression (-3)0 has a value of 0 when evaluated because a number multiplied by 0 gives 0

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

(-3)0

The above statement is a product expression that multiplies the values of -3 and 0

Also, there is no need to check if there are like terms in the expression or not

This is  because we are multiplying the factors

So, we have

(-3)0 = 0

This means that the value of the expression is 0 i.e a number multiplied by 0 gives 0

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Answer:

A would have worked because it is in the correct order.

B is correct as well because the numbers would also equal the same value.

C would also be right because it has the same value as A and B does.

D would not be a way to represent it because if you were to find the equation (use a subsitue value for x,) you would not have gotton the same value as you would have with A, B, and C, if you used the same value for x.

Step-by-step explanation:

SO THEREFORE THE ANSWER IS (D)

The option that is not a correct way to represent the relation ''the second number is 1 less than three times the first number'' algebraically is the option; y = 1 - 3·x

An algebraic equation is a mathematical statement that indicates the equivalence of two algebraic expressions.

The relation ''the second number is 1 less than three times the first number'' can be expressed algebraically as y = 3·x - 1, where x represents the first number and y represents the second number. The equation, y = 3·x - 1 states that the value of y equals three times the value of x minus 1.

A comparison of the options indicates that the first three are equivalent to y = 3·x - 1, while the fourth option is; y = 1 - 3·x

The option that is not a correct way to represent the relation is the option y = 1 - 3·x

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The simplified equation is (π2 / 2) * ∫[0, ∞] (x(2x-1) * e(-x) / (Γ(x) * Γ(1 - x)) DX

a. To prove B(x+1, y) = x * B(x, y), proceed as follows.

Start with B(x+1, y) = [(x+1)! * y!] / ((x+y+2)!) (using the definition of B(x, y)).

Rewrite 1 / (x+1) to (x+y+2 - (y+1)) / (x+y+2) .

Using the formula above, express B(x+1, y) as (x+y+2) / (x+y+2) * [(x+1)! to rewrite. * y!] / ((x+y+2)!) - (y+1) / (x+y+2) * [(x+1)! * y!] / ((x+y+2) !).

Simplify the formula to (x+y+2) / (x+y+2) * B(x, y) - (y+1) / (x+y+2) * B(x, y) increase.

Simplify further to B(x, y) - (y+1) / (x+y+2) * B(x, y).

Note that B(x, y) can be expressed as (x / (x+y+1)) * B(x, y) .

Substitute this formula in the previous step to get,

x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y).

x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y)

= x * B(x, y)

You have now proved B(x+1, y) = x * B(x, y).

b. We wish to prove the identity Γ(2x) = ((2sin(πx))) * Γ(x) * Γ(x + 1/2).

Integrate ∫[0, ∞] (x(2x-1) * Start with dx.

Evaluating this integral using the permutation u = du is obtained.

Simplify the integral to (1/2) * Γ(x + 1/2).

Express sin(πx) as π / (Γ(x) * Γ(1 - x)).

Let the original integral be π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) * e(-x) * (1/sin( πx) Rewrite.)) DX.

Substituting the equations,

The integral, π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) *

We get * (π / (Γ(x) * Γ(1 - x)))) dx.

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Answer:

SSS

Step-by-step explanation:

Answer:

$100.75

Step-by-step explanation:

422.05 - 106.30 - 310.00 + 95.00 = 100.75

Answer:

54

Step-by-step explanation:

46+80=126 and every triangle adds up to 180 so subtract 180 from 126 (180-126=54)

Hope this helped!

Answer:

c)54 degrees

Step-by-step explanation:

A triangle has to be 180 degrees.

46+80=126

180-126=54

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Answer:

Not exactly sure what your asking but 11/3 as a mixed number is 3 2/3

Answer:

3 2/3 is the simplified version of 11/3

Step-by-step explanation:

Answer:

answer is 3.2

Step-by-step explanation:

Simplifying

8[4 + -1a] = 2a

[4 * 8 + -1a * 8] = 2a

[32 + -8a] = 2a

Solving

32 + -8a = 2a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-2a' to each side of the equation.

32 + -8a + -2a = 2a + -2a

Combine like terms: -8a + -2a = -10a

32 + -10a = 2a + -2a

Combine like terms: 2a + -2a = 0

32 + -10a = 0

Add '-32' to each side of the equation.

32 + -32 + -10a = 0 + -32

Combine like terms: 32 + -32 = 0

0 + -10a = 0 + -32

-10a = 0 + -32

Combine like terms: 0 + -32 = -32

-10a = -32

Divide each side by '-10'.

a = 3.2

Simplifying

a = 3.2

Answer:

a = 3.2

Step-by-step explanation:

if the linear equation is: 8 (4-a)=2a the value of a would be 3.2 because

a = 16/5 which equals to 3 1/5 which is the same as 3.2

17,500

Step-by-step explanation:

Answer:

basketball

I hope this is useful

Answer: (C) Basketball

Step-by-step explanation: I took the test and that is the answer.

Answer:

Step-by-step explanation:

Answer:

What are you asking?

Answer:

x3−4x2−11x−6

Stp-by-step explanation:

(1+x)(x2+−5x+−6)

=(1)(x2)+(1)(−5x)+(1)(−6)+(x)(x2)+(x)(−5x)+(x)(−6)

=x2−5x−6+x3−5x2−6x

=x3−4x2−11x−6

Answer:

\(\large \boxed{\sf \ \ x = -\dfrac{\sqrt{33}+1}{4} \ \ or \ \ x = \dfrac{\sqrt{33}-1}{4} \ \ }\)

Step-by-step explanation:

Hello, please find below my work.

\(2x^2+x-4=0\\\\\text{*** divide by 2 both sides ***}\\\\x^2+\dfrac{1}{2}x-2=0\\\\\text{*** complete the square ***}\\\\x^2+\dfrac{1}{2}x-2=(x+\dfrac{1}{4})^2-\dfrac{1^2}{4^2}-2=0\\\\\text{*** simplify ***}\\\\(x+\dfrac{1}{4})^2-\dfrac{1+16*2}{16}=(x+\dfrac{1}{4})^2-\dfrac{33}{16}=0\)

\(\text{*** add } \dfrac{33}{16} \text{ to both sides ***}\\\\(x+\dfrac{1}{4})^2=\dfrac{33}{16}\\\\\text{**** take the root ***}\\\\x+\dfrac{1}{4}=\pm \dfrac{\sqrt{33}}{4}\\\\\text{*** subtract } \dfrac{1}{4} \text{ from both sides ***}\\\\x = -\dfrac{1}{4} -\dfrac{\sqrt{33}}{4} \ \ or \ \ x = -\dfrac{1}{4} +\dfrac{\sqrt{33}}{4}\)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

The expression that can be used to approximate the expression "logax" for all positive numbers a, b, and x, where a=1 and b=1 is:

log1x = 0

If x denotes the width (in feet) of the billboard, find a function in the variable x giving the area of the printed region of the billboard as a function of x is (150/x - 10)(x - 4).

A billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 2-ft margins on the left and right sides.

x = width of the billboard designer

Total Area including margin = 150 ft^2

Height of the billboard = Area/width

Height of the billboard = 150/x

Before the height of the billboard = (150/x - 5 × 2)

Before the height of the billboard = (150/x - 10) ft

The width of the printed region billboard = (x - 2 × 2)

The width of the printed region billboard = (x - 4) ft

The area of the printed region of the billboard = The width of the printed region billboard × The height of the printed region billboard

The area of the printed region of the billboard = (150/x - 10)(x - 4)

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The complete question is:

A billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 2-ft margins on the left and right sides. Furthermore, the billboard should have a total area of 150 ft^2 (including the margins).

If x denotes the width (in feet) of the billboard, find a function in the variable x giving the area of the printed region of the billboard.

Area as a function of x =

Answer:

3xy(y - 2x + 4).

Step-by-step explanation:

3xy2− 6x2y+ 12xy

The greatest common factor of the 3 terms is 3xy.

So, dividing by 3xy, the factors are:

3xy(y - 2x + 4).

Answer:

  √130 > 11.1 > √121 > π²

Step-by-step explanation:

For the purposes of ordering numbers written in different forms, it is often helpful to convert them to the same form.

Given the availability of calculators that display their results in decimal, it is convenient to use one to write these values to an appropriate precision.

  √121 = 11.0

  π² ≈ 9.9

  11.1 = 11.1

  √130 ≈ 11.4

Using the usual method of comparing decimal values, we find the decreasing order to be ...

  11.4 > 11.1 > 11.0 > 9.9

  √130 > 11.1 > √121 > π²

Answer:  x = -3/2

Step-by-step explanation:

Answer:

$5.50

Step-by-step explanation:

Answer:

You would get 4.5 as your answer or 4 1/2

Step-by-step explanation:

You literally just do 18/4

And you get your answer