If p is inversely proportional to q and p=-8 then q=2, find p when q=-4

Step-by-step explanation:

GDP per capita =

Total GDP / Total Population

[tex] = \frac{42.29 \times {10}^{9} }{10123540} \\ = 4177.39[/tex]

in dollars.

Note billion = 10^9.

Answer:

The displac ment between t = 1 and t = 4 is 272 feet

Step-by-step explanation:

To get the displacement of the ball, we first need to get the equation for the position of the ball with respect to time.

We can do this by differentiating the velocity equation given:

v(t) = -32t +96

integrating between the limits of t = 1 and t = 4, we have

[tex]s = \int\limits^4_1 {-32t +96} \, dt[/tex]

[tex]s(t) = -32t^2/2 +96t[/tex]

[tex]s =[ -16t^2 +96t] t = 4, t =1[/tex]

where t = 4.

s = 256 + (96) =352 feet

Where t = 1

s = 80

Displacement of the ball = 352 -80 = 272ft

The displac ment between t = 1 and t = 4 is 272 feet

Answer:

12 years

Step-by-step explanation:

Represent the mother's age by m and the son's by 4.  Currently m = 36 years old.

In x years the mother will be three times as old as her son:

mother:  36 + x years old

son:  4 + x years old

The pertinent equation to solve is:

36 + x = 3(4 + x)

Performing the multiplication, we get:

36 + x = 12 + 3x, or

24 = 2x.  Then x = 12.

Check:  In 12 years, will the mother's age be 3 times the son's age?

Does 36 + 12 = 3(4 + 12)?

Does    48      = 48?  YES

The mother will be 3 times as old as her son in 12 years from now.

Answer: 345.977 m^3

Step-by-step explanation:

Answer:

40.86 28.98

Step-by-step explanation:

because if its wrong then it is racist

Step-by-step explanation:

Given that,

The depth of the pool is, h = 5 feet

Volume of the pool, V = 1200 cubic feet

We need to find the possible values for the dimensions of the pool. We know that the volume of a rectangle is given by :

[tex]V=lbh[/tex]

Where

l and b are length and breadth

So,

[tex]lb=\dfrac{V}{h}\\\\lb=\dfrac{1200}{5}\\\\lb=240[/tex]

The first possibillity for dimension is (10×24). Another can be (12×20).

Answer:

I think 96° but not fully sure sorry if wrong

Answer:

0

Step-by-step explanation:

because

k  c  r

10 + (-10)

10 - 10=0

Answer:

☛☚um its 0

Step-by-step explanation:

Answer:

30 is correct answer. ... ...........

Answer:

[tex](x + 3)(x - 5)(x-3)<0[/tex]

Step-by-step explanation:

Given

[tex](x + 3)(x^2 - 8x + 15)<0[/tex]

Required

Complete the factoring

[tex](x + 3)(x^2 - 8x + 15)<0[/tex]

Expand

[tex](x + 3)(x^2 - 3x - 5x+ 15)<0[/tex]

Factorize:

[tex](x + 3)(x(x - 3)-5(x-3))<0[/tex]

Factor out x - 3

[tex](x + 3)(x - 5)(x-3)<0[/tex]

The expression has been completely factored

Answer:

Jim drove the truck 156 miles

Step-by-step explanation:

Represent the number of miles driven with x.

Then the formula for the total rental cost is C(x) = $17.95 + ($0.87/mile)x, and this comes to $153.67.  Solve for x:

$153.67 - $17.95 = ($0.87/mile)x, or

$135.72 = ($0.87/mile)x

Dividing both sides by ($0.87/mile), we get:

x = 156

Jim drove the truck 156 miles

Answer:

Is to place a ' or a prime

ΔA'B'C'

Answer:

One way to name a transformed figure is to place a apostrophe after each letter in the

name of the original figure. For example, a reflection of ΔABC is named ΔA'B'C' (pronounced A prime B prime C prime).

Step-by-step explanation:

Answer:

i think 4 feet tall

Step-by-step explanation:

i think if it is wrong im sorry i tried

Answer:

37.7ft³

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The initial population is 350 so...

P = 350

The total population of birds in the enclosure is expected to increase every year by 5%

so r = 0.05

and time = X

we need to use the equation P(X) = P(1+r)^x

so by plugging in the values we get:

P(x) = 350(1.05)^x

so A is the correct answer

Answer:

Option B

Step-by-step explanation:

Given the corrected equations from the comment:

Y = -1/2x - 1

Y = 1/4x - 4

(I am assuming from the answer choices  that the 1/2 is negative)

Use a graphing tool to graph the given equations.

When graphed, the lines pass the point (4, -3).

See graph below.

Option B should be the correct answer.

Hope this helps.

Answer:

mathematics

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x=2.16/x= -4.16

Step-by-step explanation:

you must use quadratic formula if the solved equation cannot be factorised

Answer:

option 1 is equivalent to 3^2.3^5

Answer:

9x - 5 = 6

9x = 6 + 5

9x = 11 (divide both sides by 9 to get x)

9x/9 = 11/9

x = 1.22222222222

Answer:

x = 17

Step-by-step explanation:

x + 73 = 90

x = 90 - 73

x = 17

Answer:

21

Step-by-step explanation:

Answer:

1) 23^a+b

2) 5^5

3) 11^x-y

4) 2^10

Step-by-step explanation:

if they have the same base numbers then they are pretty easy to combine. multiplication means you add the exponents, and division means you subtract the exponents. for number 2, you would make them the same base by making 25 -> 5^2 and then just add the exponents.

Answer:

The Answer's no i believe

Answer:

I think yes

Step-by-step explanation:

If im wrong i am very sorry!

G for bag A could also be written as 1g

The equation could then be written as 1g - 0.40g, which if you subtract can be solved as 0.60g

The answer is 0.60g

Answer:

I think you need to find the area of bottom part hope this helps im confused two but try that

Answer:

ok queen

Step-by-step explanation:

Answer:

If both parties are over the age of 18, a lawsuit is likely to occur.

Step-by-step explanation:

Ben would likely try and sue Catalina for theft, however she wouldn't be found guilty because of the transfer of property, goods, and or services was entirely legal in this case.