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Fynjy0 [20]
3 years ago
7

Need help with these ASAP

Mathematics
1 answer:
nasty-shy [4]3 years ago
6 0

Answer:

1. 71

2 5

3. 28

4. 55

5. 74.

Step-by-step explanation:

5. 2(3x + 4) = 4x + 30

6x + 8 = 4x + 30

2x = 22

x = 11.

So m < 2 = 4(11) + 30 = 74.

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A circle is centered at the point (-7,-1) and passes through the point (8, 7). The radius of the circle is ___ units. The point
trapecia [35]

Answer:

(x + 7)2 + (y + 1)2 = r2.

To get we use point (8, 7): (8 + 7)2 + (7 + 1)2 = r2, r2 = 225 + 64 = 289 = 172.

So, equation of circle: (x + 7)2 + (y + 1)2 = 289

Step-by-step explanation:

5 0
3 years ago
Write 22÷5 as a mixed number
pantera1 [17]
The answer would be 4 2/5.
8 0
3 years ago
Read 2 more answers
I feel real d.umb for asking this much of questions but tbh I don’t like algebra, my math teacher doesn't like me and she never
Iteru [2.4K]

Answer:

the first one is x=3

Step-by-step explanation:

4 0
3 years ago
A student solves the following equation for all possible values of x:
bekas [8.4K]
<span><u><em>The correct answer is: </em></u>
C) his solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x.

<u><em>Explanation: </em></u>
<span><u>To solve this rational equation, we cross multiply: </u>
8*(x-4)=2*(x+2).

<u>Using the distributive property, we have </u>
8*x-8*4=2*x+2*2;
8x-32=2x+4.

<u>Subtract 2x from each side: </u>
8x-32-2x=2x+4-2x;
6x-32=4.

<u>Add 32 to each side: </u>
6x-32+32=4+32;
6x=36.

<u>Divide both sides by 6:</u>
</span></span>\frac{6x}{6}<span><span>=</span></span>\frac{36}{6}<span><span>;
x=6.

<u>Extraneous solutions</u> are solutions that come about in the problem but are not valid solutions to the problem; the only values of x that would give this sort of answer are -2 and 4, since these are the two values that would make one of the denominators 0 (we cannot divide by 0).</span></span>
6 0
3 years ago
Read 2 more answers
A frog moves in a sequence of unit steps. Each step is N, S, E or W with equal probability. It starts at the origin. Find the pr
Molodets [167]

The answer is 067.

It takes an even number of steps for the object to reach (2,2), so the number of steps the object may have taken is either 4 or 6 .

If the object took 4 steps, then it must have gone two steps $\mathrm{N}$ and two steps E, in some permutation. There are $\frac{4 !}{2 ! 2 !}=6$ ways for these four steps of occuring, and the probability is $\frac{6}{4^{4}}$.

If the object took 6 steps, then it must have gone two steps N and two steps E, and an additional pair of moves that would cancel out, either N / S or W/E. The sequences N, N, N, E, E, S can be permuted in $\frac{6 !}{3 ! 2 ! 1 !}=60$ ways. However, if the first four steps of the sequence are N, N, E, E in some permutation, it would have already reached the point (2,2) in four moves. There are $\frac{4 !}{2 ! 2 !}$ ways to order those four steps and $2 !$ ways to determine the order of the remaining two steps, for a total of 12 sequences that we have to exclude. This gives $60-12=48$ sequences of steps. There are the same number of sequences for the steps N, N, E, E, E, W, so the probability here is $\frac{2 \times 48}{4^{6}}$.

The total probability is $\frac{6}{4^{4}}+\frac{96}{4^{6}}=\frac{3}{64}$, and $m+n=067$.

What is probability?

  • Probability is synonymous with possibility. It is a mathematical discipline that deals with the occurrence of a random event. The value ranges from zero to one.
  • Probability has been introduced in mathematics to predict the likelihood of occurrences occurring. Probability is defined as the degree to which something is likely to occur.
  • This is the fundamental probability theory, which is also utilized in probability distribution, in which you will learn about the possible results of a random experiment.
  • To determine the likelihood of a particular event occurring, we must first determine the total number of alternative possibilities.

To learn more about probability visit:

brainly.com/question/11234923

#SPJ4

4 0
2 years ago
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