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3 years ago

12

Ameer uses \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction of a bottle of shampoo to give each of his dogs a bath.

He has 555 dogs all together.

1 answer:

svet-max [94.6K]3 years ago

7 0

Answer:

138 3/8

Step-by-step explanation:

total shampoo used for 555 dogs = 1/4 x 555 = 138 3/8 bottles

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-7a-3<2a <br> Please solve

rusak2 [61]

Answer:

a>-1/3

Step-by-step explanation:

-7a-2a<3

-9a<3

-a<3/9

a>-3/9

a>-1/3

You switch the sign because your dividing by a negative.

4 0

3 years ago

Read 2 more answers

Fine the next three terms in each geometric sequence<br> 2,-10,50,...

lakkis [162]

Answer:

2, -10, 50, -250, 1250, -6250

Step-by-step explanation:

its times -5 every time

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3 years ago

Futhe Mathematics<br><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 :-

<em>D</em><em>e</em><em>r</em><em>i</em><em>v</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>o</em><em>f</em><em> </em><em>c</em><em>o</em><em>s</em><em>²</em><em>x</em><em> </em><em>-</em><em> </em><em>s</em><em>i</em><em>n</em><em>²</em><em>x</em><em> </em><em>=</em><em> </em><em>c</em><em>o</em><em>s</em><em>2</em><em>x</em><em> </em><em>:</em><em>-</em>

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

3 years ago

The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following. x 1 2 4 8 16 p(x) 0.05 0.10 0.30 0.

ArbitrLikvidat [17]

Answer:

E(x) = 7.05

Step-by-step explanation:

We are given the following information in the question:

x: 1 2 4 8 16

p(x): 0.05 0.10 0.30 0.40 0.15

Formula:

$E(x) = \sum x.p(x)\\= (1)(0.05) + (2)(0.10) + (4)(0.30) + (8)(0.40) + (16)(0.15)\\= 7.05$

Hence, the expectation of the given data is 7.05

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3 years ago

Check whether the given numbers is a solution of the equation or inequality x+9=17;8

Nesterboy [21]

Answer:

It is a solution to the equation

Step-by-step explanation:

We just need to bring the value 9 to the right hand side of the equation

So we have;

x = 17 -9

x = 8

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3 years ago