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2 years ago

Mia crosses a river. Please see attached photo

Mathematics

1 answer:

choli [55]2 years ago

3 0

Answer:

The interval of decrease is 0 ≤ x ≤ 1.25

Step-by-step explanation:

First, we have to find the point where it changes from increasing to decreasing or decreasing to increasing.

The graph shows that there is a decrease before 1.25 h, and it increases after 1.25 h also.

We can further prove that 1.25 is the point of change when we enter 1.25 in place of t in the given equation

d(1.25) = 40|1.25 - 1.25| = 0

We see that the graph is decreasing before 1.25, so the interval will have to end at 1.25.

We also see that there is no increase before 1.25, so we can make the interval begin at 0

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2x+3y=13<br> 4x-y=2<br> solve the simaltaneous equation

nekit [7.7K]

Solve by substitution. We begin by manipulating the second equation (solving for y).

2x+3y=13

4x-y=-2 => -y=-4x-2 => y=4x+2

Now substitute "4x+2" for y into the first equation because y=4x+2.

2x+3y=13 becomes 2x+3(4x+2)=13

Now solve for x.

2x+3(4x+2)=13

2x+12x+6=13

14x=7

x=1/2

Now we can solve for y because we know what x is.

y=4x+2 => y=4(1/2)+2 = y=4

answer: x=1/2, y=4, intersection point (1/2,4)

5 0

3 years ago

Find the surface area of a cylinder with a base diameter of 8ft and a height of 6ft. Write your answer in terms of pi, and be su

Ksju [112]

Given that diameter of the base of the cylinder = 8 ft

Given that height of the cylinder = 6 ft

We have to find the surface area of the cylinder in terms of pi.

So we need to use formula of surface area of the cylinder which is

$Area= 2\pi r(r+h)$

where h= height = 6

r= radius = diameter/2 = 8/2 = 4

Now plug these values into above formula

$Area= 2\pi *4(4+3)$

$Area= 2\pi *4(7)$

$Area= 2\pi *28$

$Area= 56\pi$

Hence final answer is

$Area= 56\pi$ square ft

3 0

4 years ago

Read 2 more answers

Please please help me

Gala2k [10]

Answer:

89.0°

Step-by-step explanation:

The segment from the centre of the circle to the chord is a perpendicular bisector, hence

third side of right triangle = 12.7 ÷ 2 = 6.35

The angle subtended at the centre by arc CD is twice the angle subtended by the right triangle at the centre

The triangle from the centre to C is congruent to the triangle from the centre to D

Calculate the angle (Θ ) in the right triangle using the sine ratio

sinΘ = $\frac{opposite}{hypotenuse}$ = $\frac{6.35}{9.06}$

Θ = $sin^{-1}$ ( $\frac{6.35}{9.06}$ ) ≈ 44.5°

Hence

measure of CD = 2 × Θ = 2 × 44.5 = 89.0°

5 0

4 years ago

What is the interest earned on $620 at a rate of 3% for one year. Please help!

natima [27]

Answer:

$18.6 interest

Step-by-step explanation:

3% of 620=

(3x620)/100=18.6

3 0

3 years ago

If f(x) = 2x - 8 and g(x) = x4, what is (gºf)(5)?

Readme [11.4K]

Answer:

(g°f)x =16 when x = 5

Step-by-step explanation:

It might be easier to understand if you wrote this the other acceptable way.

g(x) = x^4

f(x) = 2x - 8

g(f(x)) means that in g(x) wherever you see and x you put f(x)

g(f(x)) = (f(x) ) ^ 4 Now put in the general value for f(x)

g(2x - 8) = (2x - 8)^4

You really don't want to expand this (although it would give you the right answer eventually).

g(2*5 - 8) = (2 * 5 - 8)^4

g(2*5 - 8) = (10 - 8)^4

g(2*5 - 8) = 2^4

Answer 16

8 0

3 years ago