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Whitepunk [10]
3 years ago
5

Literally anyone HELP

Mathematics
1 answer:
barxatty [35]3 years ago
6 0

Answer:

the answer is the last one, you solve this by comparing the lines from each shape. these shapes are congruent, meaning they're the same, so the like AB on the first shape and EF on the second are the same, and so on if that makes any sense. surely someone else could do a better explanation than me tho

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A coin is tossed, and a standard number cube is rolled. What is the probability that the coin shows heads and the number cube sh
Ainat [17]
So,

Since this is independent probability, the probability of the event above occurring is:
(probability\ of\ heads)(probability\ of\ even\ no.)

First, the probability of landing on heads.
\frac{1}{2}

Now, the probability of rolling an even number.
<u />\frac{3}{6}\ or\  \frac{1}{2}

Plug it into the equation.
\frac{1}{2} * \frac{1}{2} =  \frac{1}{4}

The correct option is C.
7 0
4 years ago
How is the sum expressed in sigma notation? <br> 1/64+1/16+1/4 + 1 + 4
shusha [124]

9514 1404 393

Answer:

  sum = ∑[n=1,5] 4^(n-4)

Step-by-step explanation:

First of all, you need to be able to describe the n-th term.

Here, we  have ...

  term #: 1, 2, 3, 4, 5

  value: 4^-3, 4^-2, 4^-1, 4^0, 4^1

That is, the exponent of 4 is 4 less than the term number. So, the n-th term is 4^(n-4). The sum of the 5 terms shown is then ...

  \displaystyle sum=\sum_{n=1}^5{4^{n-4}}

5 0
3 years ago
Which option lists am expression that is not equivalent to 4^2/3
Vesnalui [34]

remember that

x^{\frac{a}{b}}=\sqrt[b]{x^a}

also x^{-a}=\frac{1}{x^a}

and (a^b)^c=a^{bc}


so

4^{\frac{2}{3}}


first one, that one is clearly not equal since 0.25≠4

2nd one, 0.25=1/4, so 0.25^{\frac{-2}{3}}=(\frac{1}{4})^{\frac{-2}{3}=  \frac{1}{(\frac{1}{4})^{\frac{2}{3}}}=4^{\frac{2}{3}}, which matches

3rd one, \sqrt[3]{16}=\sqrt[3]{4^2}=4^{\frac{3}{2}}, which matches

4th one (\sqrt[3]{4})^2=(4^{\frac{1}{3}})^2=4^{\frac{2}{3}} which matches


answer is 0.25^{\frac{2}{3}}

4 0
3 years ago
If the original function () = 22 − 1 is shifted to the left 3 units to make the
Rom4ik [11]

A horizontal translation is expressed by transforming

f(x)\mapsto f(x+k)

If k is positive, the function is translated to the left. If k is negative, the function is translated to the right.

So, a 3-units left shift is given by k=3. So you have

f(x)=2x^2-1 \implies f(x+3)=2(x+3)^2-1

4 0
3 years ago
A) x = -2<br> B) y =2<br> C) y= -2
LenKa [72]

Answer:

Step-by-step explanation:

This is a positive parabola so it opens upwards. The equation for the directrix of this parabola is y = k - p. k is the second number in the vertex of the parabola which is (0, 0), but we need to solve for p.

The form that the parabola is currently in is

y=a(x-h)^2+k so that means that a=\frac{1}{8}. We can use that to solve for p in the formula

p=\frac{1}{4a} so

p=\frac{1}{4(\frac{1}{8}) } which simplifies to

p=\frac{1}{\frac{1}{2} } which gives us that

p = 2. Now to find the directrix:

y = k - p becomes

y = 0 - 2 so

y = -2, choice A.

6 0
3 years ago
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