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2 years ago

Help me please fast and please explainnnnnn

Mathematics

1 answer:

alexira [117]2 years ago

5 0

Answer:

I'm pretty sure it's 1 cup of water

You need 2 cups of pancake mix more than water so if you have 3 cups of pancake mix then you'd need 1 cup of water.

6 cups of mix = 4 cups of water

the cups of the mix is are 2 more cups than the water

3 cups of mix = 1 cup of water

I hope that helps and good luck! :)

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How many models does the following set have? 5,5,5,7,8,12,12,12,150,150,150

Strike441 [17]

<h3>Answer: 3 modes</h3>

The three modes are 5, 12, and 150 since they occur the most times and they tie one another in being the most frequent (each occurring 3 times).

Only the 7 and 8 occur once each, and aren't modes. Everything else is a mode. It's possible to have more than one mode and often we represent this as a set. So we'd say the mode is {5, 12, 150} where the order doesn't matter.

4 0

2 years ago

Futhe Mathematics <img src="https://tex.z-dn.net/?f=%28Cos%20%7B%7D%5E%7B4%7Dt%20-Sin%20%7B%7D%5E%7B4%7Dt%20%29%20%20%5Cdiv%2

Nastasia [14]

Answer:

cos2t/cos²t

Step-by-step explanation:

Here the given trigonometric expression to us is ,

$\longrightarrow \dfrac{cos^4t - sin^4t }{cos^2t }$

We can write the numerator as ,

$\longrightarrow \dfrac{ (cos^2t)^2-(sin^2t)^2}{cos^2t }$

Recall the identity ,

$\longrightarrow (a-b)(a+b)=a^2-b^2$

Using this we have ,

$\longrightarrow \dfrac{(cos^2t + sin^2t)(cos^2t-sin^2t)}{cos^2t}$

Again , as we know that ,

$\longrightarrow sin^2\phi + cos^2\phi = 1$

Therefore we can rewrite it as ,

$\longrightarrow \dfrac{1(cos^2t - sin^2t)}{cos^2t}$

Again using the first identity mentioned above ,

$\longrightarrow \underline{\underline{\dfrac{(cost + sint )(cost - sint)}{cos^2t}}}$

Or else we can also write it using ,

$\longrightarrow cos2\phi = cos^2\phi - sin^2\phi$

Therefore ,

$\longrightarrow \underline{\underline{\dfrac{cos2t}{cos^2t}}}$

And we are done !

$\rule{200}{4}$

Additional info :-

Derivation of cos²x - sin²x = cos2x :-

We can rewrite cos 2x as ,

$\longrightarrow cos(x + x )$

As we know that ,

$\longrightarrow cos(y + z )= cosy.cosz - siny.sinz$

So that ,

$\longrightarrow cos(x+x) = cos(x).cos(x) - sin(x)sin(x)$

On simplifying,

$\longrightarrow cos(x+x) = cos^2x - sin^2x$

Hence,

$\longrightarrow\underline{\underline{cos (2x) = cos^2x - sin^2x }}$

$\rule{200}{4}$

7 0

2 years ago

16 4 12 36 9 27 44 11 complete the pattern

olasank [31]

16, 4, 12, 36, 9, 27, 44, 11, next is 33. 44-11=33

5 0

3 years ago

The population of Preston is 89,000 and is decreasing by 1.8% each year. Write a formula that models the population as a functio

Fiesta28 [93]

Answer:

$P=89,000e^{-.018t}$

Step-by-step explanation:

I used this equation formula and just input the numbers given:

$P=P_{o}e^{rt}$

Where

P= final population

$P_{o}$ = original population

r = rate of growth

t = time

Hope this helps!

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3 years ago

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3 years ago