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Delicious77 [7]
2 years ago
10

Write log(x + 2) = 3 in exponential form. Huh

Mathematics
2 answers:
BartSMP [9]2 years ago
8 0
Use the definition of a logarithm,
logb(x)=y⟹ b^y=x, to convert from the logarithmic form to the exponential form.
Answer: 10^3=x+2
ahrayia [7]2 years ago
5 0
(x + 2) = 3
-2 -2
0 1
x = 1
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Determine if the following infinite series converges or diverges
Mandarinka [93]

Using limits, it is found that the infinite sequence converges, as the limit does not go to infinity.

<h3>How do we verify if a sequence converges of diverges?</h3>

Suppose an infinity sequence defined by:

\sum_{k = 0}^{\infty} f(k)

Then we have to calculate the following limit:

\lim_{k \rightarrow \infty} f(k)

If the <u>limit goes to infinity</u>, the sequence diverges, otherwise it converges.

In this problem, the function that defines the sequence is:

f(k) = \frac{k^3}{k^4 + 10}

Hence the limit is:

\lim_{k \rightarrow \infty} f(k) = \lim_{k \rightarrow \infty} \frac{k^3}{k^4 + 10} = \lim_{k \rightarrow \infty} \frac{k^3}{k^4} = \lim_{k \rightarrow \infty} \frac{1}{k} = \frac{1}{\infty} = 0

Hence, the infinite sequence converges, as the limit does not go to infinity.

More can be learned about convergent sequences at brainly.com/question/6635869

#SPJ1

6 0
2 years ago
Read 2 more answers
P(x) = 2x3 − x2 + 10x; <br><br> a 1/2 <br><br><br><br> b 5<br><br><br> c 0<br><br><br> d 2
Alina [70]

Answer:

a......5

b......275

c.......0

d......32

Step-by-step explanation:

mark me brainlist

8 0
3 years ago
The ratio of boys to girl in a school is 5:7 if there are 600 students, how many girls are there
larisa86 [58]

Answer:

350 girls

Step-by-step explanation:

So,

The secret to solving problems with ratios is to find the value of one unit.

5:7 = 12 units total

To find one unit, divide the total number of students by the total number of units.

600/12 = a

Simplify

50/1 = a

50 = a

The value of each unit is 50.

Now, multiply the units by the numbers in the ratio.

50(5) = b

250 = boys

50(7) = x

350 = x

There are 350 girls.

3 0
2 years ago
Loretta grew 54 watermelons in her garden last year. This year, that number increased by 5/9. Which expression shows the number
Mars2501 [29]

Answer:

54+\frac{5}{9}\times 54

Step-by-step explanation:

We are given that

Loretta grew  watermelons in her garden last year=54

We have to find the expression which shows the number of watermelons Loretta grew this year.

To find the expression which shows the  number of watermelons Loretta grew this year by adding watermelons grew in her garden last year and number of watermelons increased .

According to question

5/9 of 54=\frac{5}{9}\times 54

Therefore, the expression which shows the  number of watermelons Loretta grew this year

=54+\frac{5}{9}\times 54

6 0
2 years ago
Need answer please !!
Misha Larkins [42]

Answer:

Step-by-step explanation:

Least common denominator is 10

there are 10/10 portions in the whole circle

1/2 = 5/10

2/5 = 4/10

10/10 - 5/10 - 4/10 = 1/10

3 0
3 years ago
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