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3 years ago

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For every 1 litre of water used to make a medicine, 269ml of sucrose and 61ml of saline solution are used. Express the amount of

water, sucrose and saline solution needed as a ratio in its simplest form.

1 answer:

Burka [1]3 years ago

8 0

Answer:

Step-by-step explanation:

1 litre = 1000 ml

water : Sucrose : Saline = 1000 : 269 : 61

This is simplest form. We cannot reduce this as 61 is a prime number and 1000; 269 will not come in 61th table or

We can say 100 ; 269 ; 61 don't have common term

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8) Ryan created a metal containing 68%

JulijaS [17]

Answer:

32%

Step-by-step explanation:

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3 years ago

Write 7/12 as a decimal.

professor190 [17]

7/12 as a decimal is 0.583333333
or 0.59

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2 years ago

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The graph h = −16t^2 + 25t + 5 models the height and time of a ball that was thrown off of a building where h is the height in f

Thepotemich [5.8K]

Answer:

part 1) 0.78 seconds

part 2) 1.74 seconds

Step-by-step explanation:

step 1

At about what time did the ball reach the maximum?

Let

h ----> the height of a ball in feet

t ---> the time in seconds

we have

$h(t)=-16t^{2}+25t+5$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

so

The x-coordinate of the vertex represent the time when the ball reach the maximum

Find the vertex

Convert the equation in vertex form

Factor -16

$h(t)=-16(t^{2}-\frac{25}{16}t)+5$

Complete the square

$h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+5+\frac{625}{64}$

$h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+\frac{945}{64}\\h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+\frac{945}{64}$

Rewrite as perfect squares

$h(t)=-16(t-\frac{25}{32})^{2}+\frac{945}{64}$

The vertex is the point $(\frac{25}{32},\frac{945}{64})$

therefore

The time when the ball reach the maximum is 25/32 sec or 0.78 sec

step 2

At about what time did the ball reach the minimum?

we know that

The ball reach the minimum when the the ball reach the ground (h=0)

For h=0

$0=-16(t-\frac{25}{32})^{2}+\frac{945}{64}$

$16(t-\frac{25}{32})^{2}=\frac{945}{64}$

$(t-\frac{25}{32})^{2}=\frac{945}{1,024}$

square root both sides

$(t-\frac{25}{32})=\pm\frac{\sqrt{945}}{32}$

$t=\pm\frac{\sqrt{945}}{32}+\frac{25}{32}$

the positive value is

$t=\frac{\sqrt{945}}{32}+\frac{25}{32}=1.74\ sec$

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2 years ago

100 points! Mhanifa can you please help? Look at the picture attached. I will mark brainliest!

dimulka [17.4K]

Answer:

1 and 2.

Midpoints calculated, plotted and connected to make the triangle DEF, see the attached.

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3.

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m(FD) = (2 - (-1))/(-2 -(-4)) = 3/2
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4.

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3 years ago

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torisob [31]

Answer

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2 days = 48 hours

3 days = 72 hours

so 60 hours in = to 2.5 days

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2 years ago

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