Questions posted in Mathematics

Population 1 :784 - 25 t  ( where t stays for the years )Population 2 :817 - 36 t784 - 25 t = 817 - 36 t- 25 t + 36 t = 817 - 78411 t = 33t = 33 : 11t = 3 yearsWe can prove it:784 - 25 * 3 = 784 - 75 = 709817 - 36 * 3 = 817 - 108 = 709709 = 709Answer:The two populations will be the same after 3 years. 

The answer is 1.18 km

Ryan lives 1.54 km from middle school
Marsha lives 2.72 km from middle school

2.72 - 1.54 = 1.18....Marsha lives 1.18 km further 

V(t) = 500 * (2t)/5
after 10 years....t = 10
V(10) = 500 * (2(10))/5 =
             500 * 20/5 =
             10,000/5=
              $ 2000...its worth 2000 bucks

M =  # of math problems

4/5m + 3 = 43
4/5m = 43 - 3
4/5m = 40
m = 40 * 5/4
m = 200/4
m = 50 <===there were 50 math problems

The answer is 107 because for every term the sequence is being added by 15. Therefore 62+15= 77. 77+15=92. 92+15=107, the seventh term is going to be 107

He sold 12 candy bars.
3x + 5y = 76
X + y = 20
2y= 16
Y= 8
X= 20 - 8= 12
Hope this helps.

Let's solve 1st what is under the radical and the denominator

[√(x⁶.y⁴)] /xy² = x³.y²/xy² = x²

but we still have x⁻¹ that is 1/x so x₂.1/x = x (final answer)

1, ___, ____, _____, _____, _____, ____, 29

29-1 = 28
28/7 = 4
1, 5, 9, 13, 17, 21, 25, 29

Answer:

Answer is C

Step-by-step explanation:

You doing summer school too?

I believe it is 23 degrees

Answer: Choice B) 1.5 ft

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Work Shown:

r = common ratio
r = (second term)/(first term)
r = 2.2/2
r = 1.1
Each term is multiplied by 1.1 to get the next term
Eg: 
term 2 = 1.1*(term 1)
term 2 = 1.1*2
term 2 = 2.2

Let x be the value three slots before the value 2
So we have x, x*r, x*r^2, x*r^3 where
x = value in June
x*r = value in July
x*r^2 = value in August
x*r^3 = value in September

We just found that r = 1.1. We also know that the value in September is 2. So this means

x*r^3 = 2
x*(1.1^3) = 2
x*1.331 = 2
x*1.331/1.331 = 2/1.331
x = 1.5026 approximately

This rounds to 1.5

Translation by h (right) and k (up)
g(x)=f(x-h)+k
=f(x-4)^2+2
so h=4, k=2
horizontal translation (to the right) is h=+4, but is shown as -4 for the translation value.

f(x)=log(5x)

We want the curve to pass through (5,-2)

We can move the curve along the plot adding something in the formula. Let’s call that z.

You can put z in different parts of the formula and still find a z value that makes it pass through the point (5,-2). I will choose to put it inside the log:

f(x)=log(5x+z)

f(5)=-2

log(5*5+z)=-2

log(25+z)=-2

10^-2 = 25+z

10^-2 – 25 = z

z=1/100-25 = 1/100-2500/100=-2499/100 = -24.99

Let’s verify:

f(5)= log(5*5-24.99)=-2

So the formula: f(x)=log(5x-24.99) passes through the point (5,-2)

B) $250, $300,$350,$400,$450

The question is asking to choose among the following choices that state the fact about the said data in the tables, and according to the given data, I would say that the answer would be letter A. a flower being pink and a flower being a rose are independent of each other. I hope this would help 

In place of t, or theta, I'm going to utilize x instead. So the equation is -3*cos(x) = 1. Get everything to one side and we have -3*cos(x)-1 = 0

Let f(x) = -3*cos(x)-1. The goal is to find the root of f(x) in the interval [0, 2pi]

I'm using the program GeoGebra to get the task done of finding the roots. In this case, there are 2 roots and they are marked by the points A and B in the attachment shown

A = (1.91, 0)
B = (4.37, 0)

So the two solutions for theta are
theta = 1.91 radians
theta = 4.37 radians

The answer is choice A

The line is RS because R and S are on the line. 

The plane is RSU because we need at least 3 non-collinear points to form a plane. In this case, point U is not on line RS. 

The answer should be 44 square yards. Hope this helps.

The common ratio is -3.

-2 x -3, 6 x -3

Assuming that f(n+1) = f(n) is the full recursive definition, and that there are no typos, then this means that the nth term is equal to the (n+1)th term for any n where n is a positive whole number.

So
f(1) = f(2)
f(2) = f(3)
f(3) = 9

By the transitive property, f(1) = f(3) = 9. Therefore the answer is 9.

If the C2 is referring to C^2 (c squared), then 

C^2 = 6^2 = 6*6 = 36
Note how I replaced the "C" with 6, because C = 6
Squaring a number is the same as multiplying it by itself. 

Once you know the value of C^2, you divide it over the value for d, which is 3

So,
(C^2)/d = (36)/3 = 12

The final answer is 12

In this case since repetition is allowed as well as starting with zero, the number of 4 digits chosen among the 10 (from 0 to 9):
the 1st digit can be selected in 10 ways
the 2ndt digit can be selected in 10 ways
the 3rd digit can be selected in 10 ways
the 4th digit can be selected in 10 ways
 Or 10 x 10 10 x10 = 10⁴ = 10,000 Arrangements

72 square units.
10 x 12= 120
6 x 8 = 48
120 - 48 = 72.
Hope this helps. :)

Ans;  After 83 days i.e. on 84th days

Barb, Shelley, and Darcy are college roommates.

Barb goes to the library every 6 days,

Shelley goes the library every 7 days, and

Darcy goes to the library every 4 days.

If all three of them went to the library today, then the next time that they will all be at the library on the same day will be the LCM of 6,7, and 4 i.e.on 84th day.

Yes u are correct 4 plus 2 equal 6 so u are absolutely correct

The answer is (2x+1)(x-5)

Conjecture:a₁ = 1.2
a₂ = 2.3
a₃ = 3.4
a₄ = 4.5
---------
a(n) = n.(n+1)
a₁₅ =15(15+1)
a₁₅ = 15.16 (answer)

Answer:  y <= -3x + 3

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Explanation: The slope of the boundary line is -3 because we go down 3 over 1 each time we go from point to point. We can use the slope formula to get

m = (y2-y1)/(x2-x1)
m = (-3-3)/(2-0)
m = -6/2
m = -3

The y intercept is 3 because this is the location on the y axis where the graph crosses, so b = 3

Therefore the boundary line equation is y = -3x+3. Note how it's in the form y = mx+b where m = -3 and b = 3

The boundary line is solid. The shading is below the boundary line. So we change the equal sign to a "less than or equal to" sign to get the final answer of y <= -3x+3

I think its 9000(1.045)^5. Hope this helps. That equals $11,215.60, or rounded to the nearest dollar, $11,215.