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3 years ago

List all the possible rational roots of 4x^3+8x^2-x+5=0

Mathematics

1 answer:

RideAnS [48]3 years ago

3 0

The only rational root is -2.336071261738453
The other roots are complex (imaginary).

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A piece of green jade has a mass of 23.401 g.if the sample of jade displaces 50.0 ml of water to 56.5 ml in a 100 ml graduated c

OleMash [197]

we know that

The density is equal to the formula

$Density=\frac{mass}{volume}$

in this problem we have

$mass=23.401\ gr$

Find the volume of a piece of green jade

$Volume=56.5\ ml-50.0\ ml=6.5\ ml$

Substitute the values in the formula of density

$Density=\frac{23.401}{6.5}$

$Density=3.60\frac{gr}{ml}$

therefore

the answer is

$Density=3.60\frac{gr}{ml}$

3 0

3 years ago

Factor x2 – 8x + 15. Which pair of numbers has a product of ac and a sum of b?

Troyanec [42]

-5 and -3 are your numbers.

7 0

3 years ago

Lenore lives in a state where sales tax is 10%. This means you can find the total cost of an item, including tax, by using the e

Aliun [14]

Function is

f(c)=c+0.10c

Put 84.00$

$\\ \tt\hookrightarrow 84.00+0.1(84.00)$

$\\ \tt\hookrightarrow 84.00+8.4$

$\\ \tt\hookrightarrow 92.4$

4 0

2 years ago

Paul deposited $7,976 into a bank account that earns 2 5/8% compound interest annually. Calculate Paul’s interest and total afte

Goshia [24]

Answer:

Paul’s interest and total after 42 months is $757.16 and $8,733.16 respectively.

Step-by-step explanation:

We are given that Paul deposited $7,976 into a bank account that earns $2\frac{5}{8}\%$ compound interest annually.

Let P = Principal sum of money

R = Rate of interest p.a.

T = Time period

A = Amount of money

C.I. = Compound Interest

As, we know that amount formula for compound interest is given by;

$\text{Amount}=\text{Principal}\times (1+ \text{Rate of interest})^{\text{Time}}$

$\text{A}=\text{P}\times (1+ \text{R})^{\text{T}}$

Now, in the question we are given P = $7,976 , R = $2\frac{5}{8}\%$ = $\frac{21}{8} \%$ and T = 42 months.

So, $\text{A}=\text{P}\times (1+ \text{R})^{\text{T}}$

$\text{A}=7,976\times (1+ \frac{21}{8 \times 100} )^{\frac{42}{12} }$

$\text{A}=7,976\times ( \frac{821}{800} )^{\frac{42}{12} }$

A = $8733.16

Hence, the total amount of money after 42 months is $8733.16.

Now, Compound Interest is calculated as;

$\text{Amount}=\text{Principal}+ \text{Compound interest}$

$8,733.16 = $7,976 + C.I.

C.I. = $8,733.16 - $7,976 = $757.16

Therefore, Paul’s interest and total after 42 months is $757.16 and $8,733.16 respectively.

8 0

3 years ago

In ΔOPQ, the measure of ∠Q=90°, PO = 17, QP = 8, and OQ = 15. What ratio represents the tangent of ∠P?

Oduvanchick [21]

Answer:

15/8

Step-by-step explanation:

The formula for tangent of an angle is the ratio of the opposite side length to the adjacent side length in relation to the angle.

In this case,side OQ is opposite to ∠ P and side QP is the adjacent side to ∠ P

tan ∠ P=15/8

8 0

3 years ago