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SashulF [63]
3 years ago
10

According to the property √a/√b=√a/b, which choice is equivalent to the quotient below? √35/√7​

Mathematics
1 answer:
Ilya [14]3 years ago
4 0

Answer:

D

Step-by-step explanation:

\frac{\sqrt{35} }{\sqrt{7} } =\frac{\sqrt{5} \times \sqrt{7} }{\sqrt{7} } =\sqrt{5}

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In which situation below would you want to use the Explicit Formula instead of the Recursive Formula?
Luden [163]

9514 1404 393

Answer:

  all of them, possibly excepting the 4th term

Step-by-step explanation:

The recursive formula is good if you have terms near the one of interest. It might be used for the 4th term, but that would require that you compute the three previous terms:

  7, 5, 3, 1 . . . . requires 3 subtractions

It can be about as easy to calculate ...

  a4 = 7 -2(3) = 1 . . . . requires two* subtractions and a multiplication

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However, for the 7th, 11th, and 106th terms, it is impractical to list all previous terms. The explicit formula is a better choice.

A.  a4 = 7 -2(3) = 1

B.  a7 = -1 +10(6) = 59

C.  a106 = 2 +5(105) = 527

D.  a11 = -3 +4(10) = 37

_____

* The explicit formula is ...

  an = a1 +d(n -1)

The operations identified in this formula (in the order required by the Order of Operations) are subtraction, multiplication, and addition. For a negative common difference, that amounts to two subtractions and a multiplication.

For manual evaluation, the work involved in using the recursive or explicit formulas for the 4th term is about the same, if the arithmetic is easily done mentally (as here).

5 0
2 years ago
Please help with this problem. SOLVE FOR X
kolezko [41]
C.6 i think, sorry if it’s wrong but my reasoning was that 50 + 58 = 108 and the interior of a triangle is 180 degrees so then you would subtract 180 - 108 = 72, then i did some guess work plugging in the different answers into the equation and 11 x 6 + 6 = 72 which was the missing angle from before
5 0
3 years ago
Read 2 more answers
Which is the graph of f(x) =4(1/2)^x
Nuetrik [128]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

f(x)=4(\frac{1}{2})^{x}

This is a exponential function of the form

y=a(b)^{x}

where

a is the initial value

b is the base

r is the rate

b=1+r

In this problem we have

a=4 ----> initial value (y-intercept)

b=1/2

so

1+r=1/2

r=1/2-1=-1/2

r=-0.5=-50% ----> is negative because is a decrease rate

using a graphing tool

The graph in the attached figure

6 0
3 years ago
N the Present Value of an Ordinary Annuity formula, what does the n represent?
Vika [28.1K]

Answer:

a........................................................

Step-by-step explanation:

4 0
3 years ago
A carpenter is making doors that are 2058 millimeters tall. If the doors are too long they must be trimmed, and if they are too
k0ka [10]

Answer:

There is no evidence that the doors are too long and need to be trimmed (H₀ is accepted)

Step-by-step explanation:

\bar{X} = 2072\\\mu = 2058\\sample size, n = 6\\\alpha = 0.01\\Standard deviation, s = 27

The null hypothesis, H_o: \mu = 2058

Alternative hypothesis, H_{a}: \mu > 2058

Test statistic is calculated as follows:

Z_{test} = \frac{\bar{X} - \mu}{s/\sqrt{n} } \\Z_{test} = \frac{2072 - 2058}{27/\sqrt{6} } \\Z_{test} =1.27

Find the P-value

P(z > 1.27) = 1 - P(z < 1.27)

P(z > 1.27) = 1 - 0.898

P(z > 1.27) = 0.102

Significance level, α = 0.01

Since P - value(0.102) is greater than α (0.01), the null hypothesis will be accepted.

8 0
3 years ago
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