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3 years ago

Find f(5) for f(x)=1/9(3)^x

Mathematics

1 answer:

ch4aika [34]3 years ago

3 0

Answer: The answer is 27 good luck

Step-by-step explanation:

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Graph the linear equation and identify the x intercept Y= 1/5x + 3

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Answer:

x intercept is (-15,0)

Step-by-step explanation:

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3 years ago

Harry pays $540.00 for one dozen collector edition baseball cards. How much does he pay for each baseball card?

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3 years ago

Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for e

bekas [8.4K]

Answer:

The water she need is $7\frac{7}{8} \ cups.$ and strawberry syrup $11\frac{13}{16}\ cups$ .

Step-by-step explanation:

Given:

Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for every 3/4 cup of syrup.

Now, to find the quantity of water and syrup she need to use.

As given in question ratio so:

Strawberry syrup = 2 1/4 = 9/4.

Water = 3/4.

Total cups of strawberry drink = 15 3/4 = 63/4.

Let the strawberry syrup be $\frac{9}{4} x$ .

And let the water be $\frac{3}{4} x$ .

According to question:

$\frac{9x}{4} + \frac{3x}{4}=\frac{63}{4}$ .

On adding the fractions:

⇒ $\frac{9x+3x}{4} =\frac{63}{4}$

⇒ $\frac{12x}{4} =\frac{63}{4}$

Multiplying both sides by 4 we get:

⇒ $12x=63$

Dividing both sides by 12 we get:

⇒ $x=\frac{63}{12}$

Dividing numerator and denominator by 3 on R.H.S we get:

⇒ $x=\frac{21}{4}$

Now, putting the value of $x$ on ratios:

Strawberry syrup = $\frac{9}{4}\times x=\frac{9}{4}\times\frac{21}{4}$

= $\frac{189}{16}$

= $11\frac{13}{16}\ cups$

Water = $\frac{3}{4}\times x =\frac{3}{4} \times\frac{21}{4}$

= $\frac{63}{8}$

= $7\frac{7}{8} \ cups.$

Therefore, the water she need is $7\frac{7}{8} \ cups.$ and strawberry syrup $11\frac{13}{16}\ cups$ .

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3 years ago

This year Reuben watched 80 movies. He thought that 68 of them were very good. Of the movies he watched, what percentage did he

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He thought that 85% of them were very good.

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2 years ago

Read 2 more answers

Show that y=cos(t)y=cos(t) is a solution to (dydt)2=1−y2(dydt)2=1−y2. Enter your answers below in terms of the independent varia

GrogVix [38]

Answer:

$(\frac{dy}{dt})^2=sin^2t$

Step-by-step explanation:

$y=cost$

DE : $(\frac{dy}{dt})^2=1-y^2$

If y is a solution of given DE then it satisfied the DE.

Differentiate w.r.t t

$\frac{dy}{dt}=-sint$

Using the formula

$\frac{d(cosx)}{dx}=-sinx$

LHS: $(\frac{dy}{dt})^2=(-sint)^2=sin^2t$

RHS

$1-y^2=1-cos^2t=sin^2t$

By using the formula

$sin^2t=1-cos^2t$

LHS=RHs

Hence, y is a solution of given DE

$(\frac{dy}{dt})^2=sin^2t$

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3 years ago