All categories

3 years ago

Reduce 0.1 x squared - 8.1 x + 8 = 0 to2x squared - x + 80 = 0

Mathematics

1 answer:

Yuliya22 [10]3 years ago

7 0

Answer:

x = 8

x = -10

Step-by-step explanation:

You might be interested in

If five books cost 5.25 how much would 3 cost.

nordsb [41]

Step 1: Divide $5.25 by 5
=1.05

Step 2: Multiply 1.05 by 3
= 3.15

Step 3: You're done!

4 0

3 years ago

Let R be the region bounded by the following curves. Let S be the solid generated when R is revolved about the given axis. Ifpo

steposvetlana [31]

The two curves $y=x$ and $y=x^{1/15}$ intersect at $x=0$ and $x=1$ , with $x^{1/15}\ge x$ over $0\le x\le1$ .

Washer method

$\displaystyle\pi\int_0^1\left(\left(x^{1/15}\right)^2-x^2\right)\,\mathrm dx=\pi\int_0^1\left(x^{2/15}-x^2\right)\,\mathrm dx=\pi\left(\frac{15}{17}-\frac13\right)=\boxed{\frac{28\pi}{51}}$

Shell method

We have $y=x^{1/15}\implies x=y^{15}$ . The curves $x=y$ and $x=y^{15}$ intersect at $y=0$ and $y=1$ , with $y\ge y^{15}$ over $0\le y\le1$ .

$\displaystyle2\pi\int_0^1y\left(y-y^{15}\right)\,\mathrm dy=2\pi\int_0^1\left(y^2-y^{16}\right)\,\mathrm dy=2\pi\left(\frac13-\frac1{17}\right)=\boxed{\frac{28\pi}{51}}$

6 0

3 years ago

HELP ASAP PLEASE!!!!!!!!!!!!!!!

TiliK225 [7]

ITS D!! It’s the third option !!

8 0

3 years ago

Find sin 2a and cot 2a:

geniusboy [140]

Answer:

$sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cot(2\alpha ) = \frac{16511}{18720}$

Step-by-step explanation:

$\text{if } cos(\alpha)=\frac{12}{13}\\\text{That must mean we have a triangle with base 12, and hypotenuse 13.}\\\text{Using Pythagoras, we can determine the base of the triangle must be 5.}\\a^2+b^2=c^2 \text{, where c is the hypotenuse and a, b are the two other sides.}\\c^2-b^2=a^2\\\sqrt{c^2-b^2}=a\\\sqrt{13^2-12^2}=\sqrt{169-144}=\sqrt{25}=5\\\text{Therefore, }sin(\alpha) = \frac{5}{12}\\sin(2\alpha)=2sin(\alpha )cos(\alpha)\\\text{(From double angle formulae identities)}\\$

$sin(2\alpha )=2(\frac{5}{12})(\frac{12}{13})=\frac{10}{13}\\cos(2\alpha )=cos^2(\alpha)-sin^2(\alpha)\\cos(2\alpha )=(\frac{12}{13})^2-(\frac{5}{12})^2=\frac{16511}{24336}\\cot(2\alpha)=\frac{cos(2\alpha)}{sin(2\alpha)}=\frac{\frac{16511}{24336}}{\frac{10}{13}}=\frac{16511}{18720}$

8 0

3 years ago

I am looking to decrease my bill by 25%. Can you look at my current plan and tell me what I can remove to achieve this reduction

Gennadij [26K]

Answer: $35

Step-by-step explanation:

From the question, we are informed that the current bill of the person is $140.00 per month and that the person wants to decrease the bill by 25%.

To know the amount that the person needs to deduct, we have to calculate 25% of $140.00. This will be:

= 25% of $140

= 25/100 × $140

= 1/4 × $140

= 0.25 × $140

= $35

The person will need to remove $35. The person will now pay ($140 - $35) = $105 monthly.

6 0

3 years ago

Reduce 0.1 x squared - 8.1 x + 8 = 0 to2x squared - x + 80 = 0​

Reduce 0.1 x squared - 8.1 x + 8 = 0 to2x squared - x + 80 = 0