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enot [183]
3 years ago
8

Five students received the same text message at 9:00 AM Each of them sent the message to 5 more students at 10:00 AM. Each of th

ose students sent the message to 5 more students at 11:00 AM
Mathematics
1 answer:
hammer [34]3 years ago
8 0

Answer:

Step-by-step explanation:

25

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Using a sheet of graph paper, solve the following system of equations graphically. Be sure to show any work, use a straight edge
madam [21]

Answer:

<h2> (-1,1)</h2>

Step-by-step explanation:

Given system is

\left \{ {{x+y=0} \atop {x-y+2=0}} \right.

If we graph, the solution would be the interception point between these two lines, because each linear equation represents a line. The lines are attached.

In the graph, you can observe that the solution is the point (-1,1), that is x = -1 and y = 1.

Now, if we want to solve this system by another method, we can just sum both equations and solve for <em>x</em>

\left \{ {{x+y=0} \atop {x-y+2=0}} \right.

2x+2=0\\x=\frac{-2}{2}=-1

Then, we replace this value in one equation to find the other value

x+y=0\\-1+y=0\\y=1

Therefore, the solution is (-1,1)

4 0
3 years ago
4x^2 - 9y^6 <br> what patterns can be used ?<br> please and thank you !!!
S_A_V [24]

Answer:

<em>B. (U+V)(U-V)</em>

Step-by-step explanation:

<u>Factoring</u>

The given expression is:

4x^2-9y^6

It should be noted that both terms are perfect squares:

(2x)^2=4x^2

(3y^3)^2=9y^6

Since it's a difference of squares, we need to use the following pattern to factor the required expression:

(U^2-V^2)=(U+V)(U-V)

Thus, the answer is

B. (U+V)(U-V)

3 0
3 years ago
A null hypothesis is being tested. How does the confidence level affect the testing process?
xxTIMURxx [149]
<span>If you have a high confidence level, the chance of rejecting the null hypothesis is rare. If you have a low confidence level, the chance of of rejecting the null hypothesis is nonexistent. If you have a low confidence level, the chance of of rejecting the null hypothesis is rare. If you have a high confidence level, the chance of of rejecting the null hypothesis is high.</span>
5 0
3 years ago
a water tank is draining at a constant rate if after five minutes the tank is drained by 4.5 gallons what is the rate in gallons
vova2212 [387]

Answer:

The rate is 0.9 gallon per minute

Step-by-step explanation:

Here, we have 4.5 gallons drained in 5 minutes but we are interested in calculating the rate per minute

Let the amount drained per minute be x

4.5 gallons = 5 minutes

x gallon = 1 minute

Let’s cross multiply;

x * 5 = 4.5 * 1

5x = 4.5

x = 4.5/5

x = 0.9 gallons

8 0
3 years ago
Rationalize the denominator of the following expression and simplify:
Mama L [17]
To "rationalize the denominator" is another way to say, getting rid of that pesky radical at the bottom.

we'll simply start by multiplying top and bottom by the "conjugate" of the denominator, recall difference of squares, anyhow, let's do so

\bf \cfrac{6+\sqrt{2}}{5-\sqrt{2}}\cdot \cfrac{5+\sqrt{2}}{5+\sqrt{2}}\implies \cfrac{(6+\sqrt{2})(5+\sqrt{2})}{(5-\sqrt{2})(5+\sqrt{2})}\implies \cfrac{(6+\sqrt{2})(5+\sqrt{2})}{5^2-(\sqrt{2})^2}&#10;\\\\\\&#10;\cfrac{30+6\sqrt{2}+5\sqrt{2}+(\sqrt{2})^2}{25-2}\implies \cfrac{30+11\sqrt{2}+2}{23}\implies \cfrac{32+11\sqrt{2}}{23}
4 0
3 years ago
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