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2 years ago

D

Mathematics

1 answer:

avanturin [10]2 years ago

5 0

Answer:

Step-by-step explanation:

because i said so

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Can some explain how to do this.

KatRina [158]

We can simplify the expression by using exponent properties, and we will see that the correct option is the fourth option.

<h3>How to simplify the expression?</h3>

Remember the exponent property:

$\frac{a^n}{a^m} = a^{n - m}$

Here we have the expression:

$\frac{83.9*10^{12}*2.87*10^{-3}}{3.76*10^2}$

We can reorder this to get:

$\frac{83.9*10^{12}*2.87*10^{-3}}{3.76*10^2} = \frac{83.9*2.87}{3.76}*\frac{10^{12}*10^{-3}}{10^2}$

The right side can be simplified to:

$\frac{83.9*2.87}{3.76}*\frac{10^{12}*10^{-3}}{10^2} = 64.04*10{12 - 3 - 2} = 64.04*10^{7}$

Now, we can move the decimal point one time to the left and increase the exponent by one, so we get:

$6.404*10^8$

Then we conclude that the correct option is the last one (where I rounded the expression to only 3 values after the decimal point).

If you want to learn more about scientific notation:

brainly.com/question/5756316

#SPJ1

3 0

1 year ago

Use the shell method to find the volume of the solid generated by revolving the regions bounded by the curves and lines about th

Nezavi [6.7K]

The two curves intersect when

$-x^2=6-5x\implies x^2-5x+6=(x-3)(x-2)=0\implies x=2,x=3$

The region bounded by $x=0$ and the two curves "ends" with a vertex where $x=2$ . So over the interval [0, 2], we have $6-5x\ge-x^2$ , so that the volume is

$\displaystyle2\pi\int_0^2x(6-5x+x^2)\,\mathrm dx=\boxed{\frac{16\pi}3}$

That is, each cylindrical shell has a radius of $x$ and height $(6-5x)-(-x^2)=6-5x+x^2$ , and their contribution to the total volume is $2\pi$ times the radius and height.

5 0

3 years ago

I need help with this question please

padilas [110]

Answer:

Value of a is 26 and vaule of b is 12

Step-by-step explanation: May i get brainlesist

3 0

2 years ago

Find the values of the six trigonometric functions for angle θ, when AC = 26 and BC = 24.

mart [117]

Answer:

See below

Step-by-step explanation:

The first step is to find the length of AB. By the Pythagorean Theorem:

$AB=\sqrt{26^2-24^2}=\sqrt{676-576}=\sqrt{100}=10$

Now, you can proceed:

$\sin \theta= \dfrac{24}{26}=\dfrac{12}{13} \\\\\\\cos \theta= \dfrac{10}{26}=\dfrac{5}{13} \\\\\\\tan \theta= \dfrac{24}{10}=\dfrac{12}{5} \\\\\\\csc \theta= \dfrac{13}{12} \\\\\\\sec \theta=\dfrac{13}{5} \\\\\\\cot \theta=\dfrac{5}{12}$

7 0

2 years ago

What is the sum of the numbers 32 and 20 as the product of the GCF and another sum

ohaa [14]

32 + 20

GCF = 4

32/4 = 8
20/4 = 5

(4 * 8) + (4 * 5) =
4(8 + 5) <==

6 0

3 years ago