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4 years ago

Suppose z=x2siny, x=1s2+1t2, y=−4st.

Mathematics

1 answer:

Annette [7]4 years ago

8 0

I think the answer is 5

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A fruit punch recipe requires 2 quarts pf orange juice to be mixed for every 5 quarts of apple juice. Max has 9 quarts of orange

Marrrta [24]

Answer:

22.5 quarts

Step-by-step explanation:

Let us find the ratio of orange juice to apple juice. The punch requires 2 quarts of orange juice mixed with 5 quarts of apple juice.

The ratio of orange juice to apple juice is therefore:

2 : 5 or 2/5

Max has 9 quarts of orange juice. By comparing with the ratio, this implies that:

2 / 5 = 9 / x

x = (9 * 5) / 2 = 22.5 quarts

He will need 22.5 quarts of apple juice.

6 0

3 years ago

4. Determine the amount of a $3000 investment at 9%/a compounded monthly for 6 years. [4 marks]

sweet [91]

Answer:

A = $ 5137.65 .

Step-by-step explanation:

Amount = $3000

interest rate = 9 %

= 9/12 = 0.75%

compounded monthly for

time = 6 years.

= 6 × 12 = 72 months.

$A = P(1+\dfrac{r}{100})^t$

$A = 3000\times (1+\dfrac{0.75}{100})^{72}$

A = $ 5137.65

hence, the amount after compounding $3000 at the rate of 9% after 6 years is A = $ 5137.65 .

5 0

4 years ago

Identify the angles that each have a measure of 88

Svetradugi [14.3K]

Answer: 86 and 4

Step-by-step explanation:

Hopefully this is the right answer!

6 0

3 years ago

Read 2 more answers

What is the equation of the following line written in slope-intercept form?

Sever21 [200]

Answer:

Step-by-step explanation:

y=-7x-11

6 0

3 years ago

Read 2 more answers

Question

Kay [80]

Answer:

$f(x)=2(x-2)(x^2+64)$

Step-by-step explanation:

A standard polynomial in factored form is given by:

$f(x)=a(x-p)(x-q)...$

Where p and q are the zeros.

We want to find a third-degree polynomial with zeros x = 2 and x = -8i and equals 320 when x = 4.

First, by the Complex Root Theorem, if x = -8i is a root, then x = 8i must also be a root.

Therefore, we acquire:

$f(x)=a(x-(2))(x-(-8i))(x-(8i))$

Simplify:

$f(x)=a(x-2)(x+8i)(x-8i)$

Expand the second and third factors:

$=(x+8i)x+(x+8i)(-8i)\\\\=(x^2+8ix)+(-8ix-64i^2)\\\\=(x^2)+(8ix-8ix)+(-64i^2)\\\\=x^2-64(-1)\\\\ =x^2+64$

Hence, our function is now:

$f(x)=a(x-2)(x^2+64)$

It equals 320 when x = 4. Therefore:

$320=a(4-2)(4^2+64)$

Solve for a. Evaluate:

$320=(2)(80)a$

So:

$320=160a\Rightarrow a=2$

Our third-degree polynomial equation is:

$f(x)=2(x-2)(x^2+64)$

7 0

3 years ago