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3 years ago

Which set of decimal is in the order from least to greatest

Mathematics

1 answer:

Juliette [100K]3 years ago

6 0

Answer:

What are the numbers?

Step-by-step explanation:

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What is the quotient?

Aleksandr [31]

Answer:

(A) $4X10^{12}$

Step-by-step explanation:

Given the quotient:

$\dfrac{6*10^8}{1.5*10^{-4}}$

To evaluate, we first separate the given expression as follows.

$=\dfrac{6}{1.5}X\dfrac{10^8}{10^{-4}}$

Next, we apply the division law of indices to the powers of 10.

Division Law of Indices: $\frac{a^x}{a^y}=a^{x-y}$

$=4X10^{8-(-4)}\\=4X10^{8+4}\\=4X10^{12}$

Therefore, our quotient is $4X10^{12}$ .

The correct answer is A.

7 0

3 years ago

Find all zeros of the polynomial P(x) = x3 − 2x2 − 3x + 10. Express any non-real roots in the form a + bi.

Strike441 [17]

Answer:

$x = - 2 \: or \: x = 2 - i \: or \: x = 2 + i$

Step-by-step explanation:

The given equation is

$p(x) = {x}^{3} - 2 {x}^{2} - 3x + 10$

We can see that:

$p( - 2) = {( - 2)}^{3} - 2 {( -2) }^{2} - 3( - 2)+ 10$

$p( - 2) = - 8- 8 + 6+ 10 = 0$

This means x=-2 is a zero of p(x).

From the long division in the attachment,

We can rewrite the polynomial as:

${x}^{3} - 2 {x}^{2} - 3x + 10 = (x + 2)( {x}^{2} - 4x + 5)$

We now find solution to the quadratic part:

${x}^{2} - 4x + 5 = 0$

This is given by:

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a}$

We plug in the values to get:

$x = \frac{ - - 4 \pm \sqrt{ {( - 4)}^{2} - 4 \times 1 \times 5} }{2 \times 1}$

$x = \frac{ 4 \pm \sqrt{ 16 - 20} }{2 }$

$x = \frac{ 4 \pm \sqrt{ - 4} }{2 }$

$x = \frac{ 4 \pm2i}{2 } \\ x = 2 \pm \: i \\ x = 2 - i \: or \: x = 2 + i$

Therefore all solutions are:

$x = - 2 \: or \: x = 2 - i \: or \: x = 2 + i$

4 0

4 years ago

How to find anti logarithm of<br>a number in a<br>given base 10

atroni [7]

Answer:

The antilog of any number is just the base raised to that number.So antilog 10(3.5)=10(3.5)=3,162.3.

Step-by-step explanation:

This applies to any base;for example,antilog73=73 =343.

5 0

3 years ago

Answer please? ___ feet per second

Oksanka [162]

Answer: 30 feet per second

========================================

x = diameter, y = speed of water

y varies inversely with respect to x, so, y = k/x for some constant k

If x = 0.6 and y = 5 pair up, then y = k/x turns into 5 = k/0.6 which solves to k = 3 when you multiply both sides by 0.6

So the equation y = k/x turns into y = 3/x

Now plug in the diameter x = 0.1 to find the speed to be...

y = 3/x

y = 3/0.1

y = 30 feet per second

4 0

3 years ago

The olive trees in an orchard produce 3,000 pounds of olives a year. It takes 20 pounds of olives to make 3 liters of olive oil.

AleksAgata [21]

Answer:

450L

Step-by-step explanation:

This is a ratio and proportion problem. First you need to determine the known ratio and the unknown ratio. In this case we have the known ratio:

$\dfrac{20 lbs}{3L}$

The unknown ratio in this case is:

$\dfrac{3,000lbs}{xL}$

So to do this, we just set up the proportion and solve for it:

$\dfrac{20lbs}{3L}=\dfrac{3,000lbs}{xL}\\\\{20lbs}=\dfrac{3L\times3,000lbs}{xL}\\\\{xL}=\dfrac{3L\times3,000lbs}{20lbs}\\\\{xL}=\dfrac{9,000L}{20}\\\\xL = 450L$

7 0

3 years ago

Which set of decimal is in the order from least to greatest​

Which set of decimal is in the order from least to greatest