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julia-pushkina [17]
2 years ago
15

What is a number in which the digit 7 is worth 70

Mathematics
1 answer:
eduard2 years ago
6 0

Answer:

Tens, 70, 7x10'1

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You wish to prove that three propositions p1, p2, and p3 are equivalent. will it suffice to show that p1 --> p2, p2 --> p3
kompoz [17]

Answer:

It is sufficient to prove that  p_1\implies p_2, p_2\implies p_3, p_3\implies p_1

Step-by-step explanation:

The propositions p_1,p_2,p_3 being equivalent means they should always have the same truth value. If one of them is true, then all of them must be true. And if one of them is false, then all of them must be false.

Suppose we've proven that p_1\implies p_2, p_2\implies p_3, p_3\implies p_1 (call these first, second and third implications).

If p_1 was true, then by the first implication that we proved, it would follow that p_2 is also true. And then by the second implication that we prove it would follow then that p_3 is also true. Therefore the three of them would be true. Notice the reasoning would have been the same if we had started assuming that the one that was true was either p_2~or~p_3. So one of them being true makes all of them be true.

On the other hand, if p_1 was false, then by the third implication that we proved, it would follow that p_3 has to be false (otherwise p_1 would have to be true, which would be a contradiction). And then, since p_3 is false, by the second implication that we proved it would follow that p_2 is false (otherwise p_3 would have to be true, which would be a contradiction). Therefore the three of them would be false. Notice the reasoning would have been the same if we had started assuming that the one that was false was either p_2~or~p_3. So one of them being false makes all of them be false.

So, the three propositions always have the same truth value, and so they're all equivalent.

5 0
2 years ago
And fast plzz<br>will .ark the brainliest <br>​
lakkis [162]

Answer:

\sqrt[6]{2}

Step-by-step explanation:

\sqrt[4]{\sqrt[3]{2^2}} =((2^2)^\frac{1}{3})^\frac{1}{4}\\\\=(2^2)^\frac{1}{12}\\\\=2^\frac{2}{12}\\\\=2^\frac{1}{6}\\\\=\sqrt[6]{2}

4 0
2 years ago
Read 2 more answers
A line passes through the point (–7, 5) and has a slope of 1/2. Which is another point that the line passes through?
Andrej [43]
The answer to this question is (9,13). Here's how:
First thing you need to do is find the equation. You have a coordinate point and the slope. Remember a linear equation or formula is y=mx+b (m= slope and b= y-intercept)

So let's input the slope into the equation:
y=1/2x+b or y=0.5x+b
Notice how there is no b yet? That's because you need to find it. Good thing you have the coordinate points, so replace x and y with it. ( (x,y) = ( -7, 5) )

5=0.5(-7)+b
5= -3.5+b
+3.5 +3.5
b= 8.5
The equation is now y=0.5x+8.5 and with that equation you can now input it in a calculator to find which of the following coordinate points lies on. Or you can just input those points into the calculator. Which I did because I love to show my work. I have a picture of the work included and I really do hope I helped you. If not, message me. I'll be glad you to help you!

7 0
2 years ago
A microscope slide shows 37 red blood cells out of 60 blood cells . How many red blood cells would be expected in a sample of th
JulsSmile [24]

We know that there is a total of 900 cells, and 37 of the samples 60 are red. 900/60 is our unit rate of 15. 37 times 15 is 555. We will see 555 red blood cells in all of the cells.

555 is our answer.

Please forgive any typeos because I did this on my phone.

4 0
3 years ago
Consider the following equation x= r-h/y.Solve the equation for h
Flura [38]

x= r - h/y   subtract r from both sides

x-r = -h/y    multiply each side by -y

-y(x-r) = h

-xy +yr = h

6 0
3 years ago
Read 2 more answers
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