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3 years ago

Determine the number of real solutions of the equation. Then solve the equation using square roots

Mathematics

1 answer:

Kaylis [27]3 years ago

8 0

Answer:

x ∉ R

Step-by-step explanation:

x² = - 21

if x² < 0 => x ∉ R

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a company added a new oil tank that holds 350 barrels of oil more than its old oil tank. Together they hold 3650 barrels of oil.

Tcecarenko [31]

Answer:

Capacity of old tank = 1650 barrels.

Capacity of new tank = 2000 barrels.

Explanation:

Let a be the capacity of old tank and b be the capacity of new tank.

A company added a new oil tank that holds 350 barrels of oil more than its old oil tank.

So we have b - a = 350 ----------------------equation 1

Together they hold 3650 barrels of oil

a + b = 3650 ----------------------equation 2

equation 1 + equation 2

2b = 3650 + 350 = 4000

b = 2000 barrels.

Substituting in equation 1

2000 - a = 350

a = 1650 barrels.

Capacity of old tank = 1650 barrels.

Capacity of new tank = 2000 barrels.

4 0

3 years ago

Explain the error a student is asked to find when the value of an investment of $5200 is an account that earns 4.2% annual inter

zloy xaker [14]

We are given the following information

Investment = $5200

Annual interest rate = 4.2% = 0.042

Final amount = $16,500

Number of years = 27.7 years

Number of compoudings = quartely = 4

The student uses the following model

$V(t)=5200(1.014)^{3t}$

The general formula for compound interest is given by

$V(t)=P(1+\frac{r}{n})^{nt}$

As you can see, the number of compoundings is incorrect (3 vs 4)

The interest rate is also incorrect.

Let us substitute the given values into the above formula

$\begin{gathered} V(t)=P(1+\frac{r}{n})^{nt} \\ V(t)=5200(1+\frac{0.042}{4})^{4\cdot27.7} \\ V(t)=5200(1+0.0105)^{110.8} \\ V(t)=5200(1.0105)^{110.8} \\ V(t)=\$16543.5^{} \end{gathered}$

Therefore, the final amount is approximately $16,543.5

5 0

1 year ago

What value of x satisfies

LenaWriter [7]

Answer:

See explanation

Step-by-step explanation:

The given trigonometric equation is $cos(90-x)=-\frac{\sqrt{3} }{3}$ .

We take the inverse cosine of both sides to get:

$90-x=cos^{-1}(-\frac{\sqrt{3} }{3})$

$90-x=125$

$x=125-90$

$x=-35\degree=325\degree$ to the nearest degree

None of the options satisfies the given equation.

But if the question is actually;

$cos(90-x)=-\frac{\sqrt{3} }{2}$

Then;

$90-x=\cos^{-1}(-\frac{\sqrt{3} }{2})$ .

$90-x=210$ .

$x=-120\degree$ .

$x=360-120=240\degree$ .

In this case the answer will be B

5 0

3 years ago

Read 2 more answers

A submarine submerges from the surface of the sea at the rate of 10 m/min. How long will it take to reach 300 m below the sea le

Pavlova-9 [17]

Answer:

answer is 300m/30min

Step-by-step explanation:

300\10=30

5 0

2 years ago

88.47 feet converted into the nearest sixteenth of an inch is

BabaBlast [244]

The answer is 4 feet 3 1/2 inch

3 0

3 years ago

Read 2 more answers