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asambeis [7]
4 years ago
10

Sigma notation and the nth term

Mathematics
1 answer:
Andru [333]4 years ago
6 0
The answer is c. If you substitute k=1, 2, 3 and 4 into 2x5^k, you get 10+50+250+1250.
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The players height is standard deviation above the mean?
Alona [7]

Answer:

Step-by-step explanation:

Z score is the number of standard devations above the mean.

For example if z=1, the data value is 1 st. dev. above the mean.

So, z=1.95, so the player's heigh is 1.95 st. dev. above the mean.

4 0
3 years ago
Which choices are equivalent to the exponential expression below? check all that apply. (2/3)^3
rosijanka [135]

Answer:

B. (2/3) x (2/3) x (2/3)

C. 8/27

D. 2^3 /3^3

Step-by-step explanation:

You need to know the following property

\LARGE \left(\frac{a}{b} \right)^c = \frac{a^c}{b^c}

Exponent also means you're multiplying the same number for an 'n' number of times.

For example, 2^3 = 2 * 2 * 2

we multiply it by itself 3 times since 3 is the exponent.

x^y

x is the base, y is the exponent

we read it as x to the power of y

If the exponent is 2, we say it as x squared

If the exponent is 3, we say it as x cubed

4 0
4 years ago
Which graph shows the solution set of x^2+4x-12/x 0
kupik [55]
As shown in the figure below the answer is the last option:

(-6, 0) \cup (2, +\infty)

The roots of the polynomial in the denominator are:

x_{1}=-6
x_{2}=2

So, the inequality can be written as follows:

\frac{(x-2)(x+6)}{x}\ \textgreater \ 0

From this inequality we can study the signs and get the same conclusion just as shows the graph.



6 0
3 years ago
Read 2 more answers
What are the coordinates of the endpoints of the midsegment for △DEF that is parallel to DE¯¯¯¯¯?
Readme [11.4K]

Answer:

The endpoints of the midsegment for △DEF that is parallel to DE, are (-1,3.5) and (-1,2).

Step-by-step explanation:

If a line connecting the midpoint of two sides and parallel to the third side of the triangle, then it is called a midsegment.

From the given figure it is noticed that the vertices of the triangle are D(1,4), E(1,1) and F(-3,3).

If the midsegment is parallel to DE, then the end points of the midsegment are mid point of DF and EF.

Midpoint formula.

Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Midpoint of DF,

Midpoint=(\frac{1-3}{2},\frac{4+3}{2})

Midpoint=(-1,3.5)

Midpoint of EF,

Midpoint=(\frac{1-3}{2},\frac{1+3}{2})

Midpoint=(-1,2)

Therefore the endpoints of the midsegment for △DEF that is parallel to DE, are (-1,3.5) and (-1,2).

3 0
3 years ago
-2(8) ÷ (-4)<br> What is the answer
olganol [36]

Answer:

The given expression  2(8) ÷ (-4)  = 4

Step-by-step explanation:

Here, the given expression is : -2(8) ÷ (-4)

Now,we also know that a \div b =  a \times \frac{1}{b}

So, here -2(8) \div  (-4) =  -2(8) \times \frac{1}{(-4)}  = \frac{-16}{-4}   = 4

⇒ The given expression  -2(8) ÷ (-4)  = 4

7 0
3 years ago
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