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4 years ago

Use the change of base formula to evaluate log4 20.

1 answer:

5 0

Your calculator probably only evaluates in base 10 (ln is base e but we won't use that today)

so
$log_a(b)=\frac{log_c(b)}{log_c(a)}$
where c is the new base
so if you wanted in base 10
$log_4(20)=\frac{log_{10}(20)}{log_{10}(4)}$
using calculator, that is about 2.16096

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State the most specific name for each figure

Marina86 [1]

Answer:

7. quadrilateral, 8. square, 9. rectangle, 10. rhombus or parallelogram 11. square, 12. square, 13. rhombus or parallelogram, 14. parallelogram or rhombus

8 0

3 years ago

At the start of the month,the value of an investment was $48.45.By the end of the month, the value of the investment changed by

Minchanka [31]

Answer:

34.65$

you just subtract the 13.8$ from the 48.45$

6 0

3 years ago

Read 2 more answers

Find “n" (the number of the term in the sequence)

makkiz [27]

Answer:

n = 200

Step-by-step explanation:

The n th term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 6 and d = 9, thus

$a_{n}$ = 6 + 9(n - 1) = 6 + 9n - 9 = 9n - 3

Now $a_{n}$ = 1797, so

9n - 3 = 1797 ( add 3 to both sides )

9n = 1800 ( divide both sides by 9 )

n = 200

7 0

3 years ago

PLEASE HELP IM CONFUSED! Find what the measurements of angles a-c are and state the reason

nata0808 [166]

Answer:

<a = 90° (180-90 supplementary angle)

<b = 90° (180-90 supplementary angle)

<d = 48° (180-132 supplementary angle)

<e = 132° (opposite angle)

<c = 42° (interior angles of a triangle equal 180. 180-48-90=42)

Step-by-step explanation:

<a = 90° (180-90 supplementary angle)

<b = 90° (180-90 supplementary angle)

<d = 48° (180-132 supplementary angle)

<e = 132° (opposite angle)

<c = 42° (interior angles of a triangle equal 180. 180-48-90=42)

8 0

3 years ago

(10 pts) A relation R is defined on the set Z by "a R b if a - b is divisible by 5" for a, b e Z. Examine if R is an equivalence

9966 [12]

Answer:

Yes

Step-by-step explanation:

Given that a relation R is defined on the set Z by "a R b if a - b is divisible by 5

for a, b in the set of integers.

Reflexive:

We have

for any a, $a-a=0 = 5(0)$

i.e. (a,a) is related. Hence reflexive

ii) Symmetric:

If a-b is divisible by 5, then b-a is also divisible by 5. Hence symmetric

iii) Transitive

If $a-b = 5m and\\ b-c = 5l$

adding we get

$a-c=5(m+l)$

Hence R is transitive

It follows that R is an equivalence relation on Z

3 0

4 years ago