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soldi70 [24.7K]
3 years ago
6

The position d of bicyclist (measured in kilometres) is a linear function of time t (measured in minutes). At time t= 5 minutes,

the position is d= 7 km. If the bicyclist travels 7 km for every 5 minutes, find the position of the bicyclist for time t= 15 minutes.
Mathematics
1 answer:
satela [25.4K]3 years ago
3 0

Answer:

<h2>               21 km    </h2>

Step-by-step explanation:

If the bicyclist travels 7 km for every 5 minutes then it is directly proportional

5 min        7 km

15 min          x

x=\dfrac{15\cdot7}{5}=3\cdot7=21\,km

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Yall please help me im struggling and i need to pass!!​
marysya [2.9K]

Answer:m is rational and n is irrational

Step-by-step explanation:

4 0
2 years ago
Suppose that y varies directly as the square of x, and that y=567 when x=9. What is y when x=4
Gwar [14]

Answer:

y  = 112

Step-by-step explanation:

If  y varies directly as the square of x

mathematically;

y ∝ x²

y = kx² where 'k' is the constant of proportionality

let u know the value of k for this equation by making k the subject of the formular from y = kx²

divide both sides by x²

k = y / x²

given that  y = 567 x = 9

k = 567/(9)²

k = 567/81

k = 7

now to get the value of  y when x = 4

from the equation conneting x, y,

y = kx²

y = 7 × (4)²

y = 7 × 16

y  = 112

6 0
2 years ago
Translate radical expressions into expressions with rational exponents, and vice versa. Simplify numerical
dmitriy555 [2]

Answer:

a) (\sqrt[n]{x}) the n will be 5 the x will be (-32/243)^2.

b) written the same as a. except the c will replace the n and x will be (2y)^b.

c) the answer will be 0.4^3.

d) the answer would be (st)^v/u.

Hope this helps!

Brainliest?

3 0
3 years ago
Solve for x. enter your answer in interval notation using grouping symbols. x^2+15x&lt;-36
Oliga [24]
X²+15x+36<0

at first solve quadratic equation

D=b²-4ac= 225-4*1*36= 81

x=(-b+/-√D)/2a
x=(-15+/-√81)/2= (-15+/-9)/2
x1=(-15-9)/2=-12
x2=(-15+9)/2=-3

we can write x²+15x+36<0 as (x+12)(x+3)<0

(x+12)(x+3)<0 can be 2 cases, because for product to be negative one factor should be negative , and second factor should be positive
 1 case)      x+12<0, and x+3>0,                                            
                       x<-12, and x>-3
(-∞, -12) and(-3,∞) gives empty set

or second case)  x+12>0 and x+3<0
x>-12 and x<-3
(-12,∞) and (-∞,-3)  they are crossing , so (-12, -3)  is a solution of this inequality


3 0
3 years ago
Answer the question
Alina [70]

Answer:

1,041,958.5, or 104,195 1/2

Step-by-step explanation:

All you have to do is 15787.25 times 66, because 15787.25 is the price for on acre, so 66 acres will be 15787.25 times 66. If you want to put it in fraction form, you can do 15787 1/4 times 66. I hoped you liked this answer!

3 0
2 years ago
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