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Alla [95]
3 years ago
8

Simplify: 45x^6/9x^4 anyone?

Mathematics
1 answer:
aliina [53]3 years ago
8 0
45x^6/9x^4 = 5x^(6 - 4) = 5x^2
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If Esteban counted the number of steps it took him to school .And he counted 1,138 steps how many steps does he take walking to
Semmy [17]

Answer:

1,138 steps

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Steps counted to school = 1,138

So, we can calculate the steps he take walking to school by using following formula,

Steps take walking to school = Steps he counted to school

So, Steps take walking to school = 1,138 steps

Hence, Esteban take 1,138 steps while walking to school.

7 0
3 years ago
The Pacific halibut fishery has been modeled by the differential equation dy dt = ky 1 − y K where y(t) is the biomass (the tota
Dafna1 [17]

Answer:

a. The biomass weighs 2.30 * 10^7 kg after a year

b. It'll take 2.56 years to get to 4*10^7kg

Step-by-step explanation:

a.

k = 0.78,K = 6E7 kg

Given

dy/dt = ky(1- y/K)

Make ky dt the subject of formula

ky dt = dy/(1-y/K) --- make k dt the subject of formula

k dt = dy/(y(1-y/K))

k dt = K dy / y(K-y)

k dt = ((1/y) + (1/(K-y)))dy ---- integrate both sides

kt + c = ln(y/(K-y))

Ce^(kt) = y/(K-y)

Substitute the values of k and K

Ce^(0.78t) = y/(6*10^7 - y) ----- (1)

Given that y(0) = 2 * 10^7kg

(1) becomes

Ce^(0.78*0) = (2 * 10^7)/(6*10^7 - 2*10^7)

Ce° = (2*10^7)/(4*10^7

C = 2/7

Substitute 2/7 for C in (1)

2/7e^0.78t = y/(6*10^7 - y) ---(2)

We're to find the biomass a year later

So, t = 1

2/7e^0.78 = y/(6*10^7 - y)

0.62 = y/(6*10^7 - y)

y = 0.62(6*10^7 - y)

y = 0.62*6*10^7 - 0.62y

y + 0.62y = 0.62*6*10^7

1.62y = 0.62*6*10^7

1.62y = 3.72 * 10^7

y = 2.30 * 10^7kg.

Hence, the biomass weighs 2.30 * 10^7 kg after a year

b.

Here, we're to calculate the time it'll take the biomass to get to 4*10^7 kg

Substitute 4*10^7 for y in (2)

2/7e^0.78t = 4*10^7/(6*10^7 - 4*10^7)

2/7e^0.78t = 4*10^7/2*10^7

2/7e^0.78t = 2

e^0.78t = (2*7)/2

e^0.78t = 2

t = 2 * 1/0.78

t = 2.56 years

Hence, it'll take 2.56 years to get to 4*10^7kg

8 0
3 years ago
For the graph of any inequality, which points along the ray are solutions to the inequality?
Juliette [100K]

Answer:

The part where the two rays meet is you solution

Step-by-step explanation:when graphing your solution, you are going to have two rays that will cross if there is one solution, that will be the solution. if they never meet, there is no solution to your problem, but if they are on top of each other, there are infinite solutions.

3 0
3 years ago
The slant height of the top is 5 pm and the height of the cylinder is 9m find the distance between P and Q
Mashcka [7]

Answer:The slant height of the top is 5 m, and the height of the cylinder is 9 m. Find the distance between P and Q, to the nearest cm. 0 height of small triangle.

8 0
2 years ago
Find the length of the base of a square pyramid if the volume is 48 cubic inches and has a height of 9 inches.
Nata [24]
The answer to your question, is 4 inches
hope this helps :D
5 0
3 years ago
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