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valentina_108 [34]
4 years ago
14

15 POINTS

Mathematics
1 answer:
lesya692 [45]4 years ago
6 0

When a system has one answer or in other words, the graphs of the equations intersect one time, the system is called a consistent system of linear equations and therefore the equations are independent.

When a system has no solution meaning, the graphs of the equations don’t interconnect at all, the system is known to be an inconsistent system of linear equations and the equations are independent.

So therefore, the answer is yes.

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Reduce the fraction 512/128 into the simplest form.​
frez [133]

Answer:

Therefore, 512/128 simplified to lowest terms is 4/1.

Step-by-step explanation:

Reduce 512/128 to lowest terms

The simplest form of  

512

128

is  

4

1

.

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 512 and 128 is 128

Divide both the numerator and denominator by the GCD

512 ÷ 128

128 ÷ 128

Reduced fraction:  

4

1

Therefore, 512/128 simplified to lowest terms is 4/1.

4 0
3 years ago
A particular computer takes 11 minutes to download a 33​-minute TV show. How long will it take the computer to download a 2.5​-h
zhenek [66]

First off.. we need to get the units the same.  All in hours,

or all in minutes.  36 minutes = 36/60 hours = 3/5 hours = 0.6 hours.

12 minutes = 12/60 hours = 1/5 hours = 0.2 hours

Set up a proportion:

0.2 is to 0.6 as x is to 22.5

x/22.5 = 0.2/0.6

x = 0.2(22.5)/0.6

x = 7.5 hours


thanx

heyaaaaa

8 0
4 years ago
I need help plz<br> 12<br> 10<br> 8<br> 12.5
kherson [118]

Answer:

8

Step-by-step explanation:

5 0
3 years ago
At what angle does a diffraction grating produce a second-order maximum for light having a first-order maximum at 20.0 degrees?
hichkok12 [17]

Answer:

At 43.2°.

Step-by-step explanation:

To find the angle we need to use the following equation:

d*sin(\theta) = m\lambda

Where:

d: is the separation of the grating

m: is the order of the maximum

λ: is the wavelength

θ: is the angle              

At the first-order maximum (m=1) at 20.0 degrees we have:

\frac{\lambda}{d} = \frac{sin(\theta)}{m} = \frac{sin(20.0)}{1} = 0.342

Now, to produce a second-order maximum (m=2) the angle must be:

sin(\theta) = \frac{\lambda}{d}*m

\theta = arcsin(\frac{\lambda}{d}*m) = arcsin(0.342*2) = 43.2 ^{\circ}

Therefore, the diffraction grating will produce a second-order maximum for the light at 43.2°.    

I hope it helps you!                                                        

6 0
3 years ago
Complete the following statement: f(3)=_____
victus00 [196]
Using this equation, f(3) = 23.

In order to find the value of f(3), we need to take the f(x) equation and put 3 everywhere we see x. Then we follow the order of operations to solve. So, let's start with the original. 

f(x) = 2x^2 + 5sqrt(x - 2) 

Now place 3 in for each x. 

f(3) = 2(3)^2 + 5sqrt(3 - 2)

Now square the 3.

f(3) = 2(9) + 5 sqrt(3 - 2)

Do the subtraction inside of the parenthesis. 

f(3) = 2(9) + 5sqrt(1)

Take the square root

f(3) = 2(9) + 5(1)

Multiply. 

f(3) = 18 + 5

And add. 

f(3) = 23

4 0
3 years ago
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