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2 years ago

Please help me I am stuck

Mathematics

1 answer:

Angelina_Jolie [31]2 years ago

6 0

So the answer to one is simply 132, because all you have to do it replace t with 0.5, and then evaluate.

the answer to the first part of second question is -64/32 or -2 because all you have to do is find the vertex, which is the point of maximum height. the formula for this -b/2a.
the answer to the second part is 160 because to find the height at the vertex just plug the x coordinate of the vertex in and evaluate. this will give you the maximum height

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Amanda, Sarah and Bethany share the cost of a holiday in the ratio 5 : 4 : 3.

sp2606 [1]

Answer:

a. £564

b. £141

Step-by-step explanation:

a. Firstly, we add up the ratios

= 5 + 4 + 3 = 12

Amanda’s share was 5

Let the total amount be £x

Thus; 5/12 * x = 235

5x = 12 * 235

x = 2820/5 = 564

The total cost of the holiday is £564

b. We want to calculate what Bethany paid

That would be 3/12 * 564 = £141

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3 years ago

A collector bought a rare coin for $30. The coin is now valued at $37.50. What is the percent increase in value?

AlladinOne [14]

Answer:

Step-by-step explanation:

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3 years ago

Martha's mom is making party bags for all of her party guests. she has 24 green gumballs and 33 blue gumballs. if she wants to s

Fantom [35]

The. Answer. Is. going. To. Be. 6. Because. There. Are. 24. Gumballs. And. 33. Marbles. And. The. Largest. Number. You. Can. Make. Is. 6

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4 years ago

If the ratio of radius of two spheres is 4:7, the ratio of their volume is?

Kazeer [188]

Answer:

64 : 343

Step-by-step explanation:

First use the radii to find the volume

1) Radius of first sphere is 4 (taken from 4:7 ratio)

Insert it into the equation for volume of a sphere: V=4 /3πr^3

V = (4/3)(π)(4^3)

V = (4/3)(π)(64)

V = 256/3 π

Volume of the first sphere = 256/3 π

2) Radius of the second sphere is 7 (also taken from 4:7 ratio)

Insert it into the equation for volume of a sphere: V=4 /3πr^3

V = (4/3)(π)(7^3)

V = (4/3)(π)(343)

V = 1372/3 π

Volume of the second sphere = 1372/3 π

Next, calculate the ratio by dividing the two numbers

256/3 π ÷ 1372/3 π

Answer should be 64 : 343

The simple way to do this problem is to just cube the numbers:

4:7 becomes 4^3 : 7^3 = 64 : 343

Either way works.

6 0

3 years ago

Identify each expression that represents the slope of a tangent to the curve y=1/x+1 at any point (x,y) .

tankabanditka [31]

Answer:

Slope of a tangent to the curve = $f'(x) = \frac{-1 }{(x+1)^{2} }$

Step-by-step explanation:

Given - y = 1/x+1

To find - Identify each expression that represents the slope of a tangent to the curve y=1/x+1 at any point (x,y) .

Proof -

We know that,

Slope of tangent line = f'(x) = $\lim_{h \to 0} \frac{f(x+h) - f(x)}{h}$

We have,

f(x) = y = $\frac{1}{x+1}$

So,

f(x+h) = $\frac{1}{x+h+1}$

Now,

Slope = f'(x)

And

$f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h} \\= \lim_{h \to 0} \frac{\frac{1}{x+h+1} - \frac{1}{x+1} }{h}\\= \lim_{h \to 0} \frac{x+1 - (x+h+1) }{h(x+1)(x+h+1)}\\= \lim_{h \to 0} \frac{x +1 - x-h-1 }{h(x+1)(x+h+1)}\\= \lim_{h \to 0} \frac{-h }{h(x+1)(x+h+1)}\\= \lim_{h \to 0} \frac{-1 }{(x+1)(x+h+1)}\\= \frac{-1 }{(x+1)(x+0+1)}\\= \frac{-1 }{(x+1)(x+1)}\\= \frac{-1 }{(x+1)^{2} }$

∴ we get

Slope of a tangent to the curve = $f'(x) = \frac{-1 }{(x+1)^{2} }$

6 0

3 years ago