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3 years ago

An arithmetic sequence has the explicit formula an = 7n – 17. What is the value of a1?

Mathematics

2 answers:

Pani-rosa [81]3 years ago

6 0

Second part of the answer is A

Talja [164]3 years ago

3 0

A1=7*1 - 17= 7 - 17 = - 10

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Question 11

dem82 [27]

Answer:

There were 49 questions on this Geometry test.

Step-by-step explanation:

You can start by setting up a proportion:

x = total number of questions on Geometry test

$\frac{37}{x}$ = $\frac{75.51}{100}$

Now, to solve for x, cross multiply:

75.51x = 3700

Finally, isolate x and solve:

x = 49.0001324328

This is very close to 49.

3 0

3 years ago

If 25% of a number is 12, what is 75% of that number?

snow_tiger [21]

Answer:

Step-by-step explanation:

$\frac{0.25}{0.75} =\frac{12}{x} \\$

$0.75 *12=9$

$\frac{9}{0.25} =36$

8 0

2 years ago

Jayla starts with a population of 100 amoebas that increases 40% every hour for a number of hours, h. The expression 100(1 + 0.4

Ivanshal [37]

I don't believe your expression is correct as is; it should be <span>100(1 + 0.4)^h.

You have not shared the possible answer choices; please do so.

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5 0

3 years ago

Read 2 more answers

Solve the following 2(x+3)=x-4

USPshnik [31]

2x + 6 = x - 4
x = -10

6 0

2 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20log_%7B2%7D%283x%20%2B%204%29%20%20-%207%20log_%7B4%7D%7Bx%7D%5E%7B2%7D%20%20%2B%20%20log_%

olga2289 [7]

First of all, we need all logarithms to have the same base. So, we use the formula

$\log_a(b)=\dfrac{\log_c(b)}{\log_c(a)}$

To change the second term as follows:

$\log_4(x^2)=\dfrac{\log_2(x^2)}{\log_2(4)}=\dfrac{\log_2(x^2)}{2}$

Finally, using the property

$\log(a^b)=b\log(a)$

we have

$\dfrac{\log_2(x^2)}{2}=\log_2(x)$

So, the equation becomes

$\log_2(3x+4)-7\log_2(x)+\log_2(x)=2 \iff \log_2(3x+4)-6\log_2(x)=2$

We can now use the formula

$\log(a)-\log(b)=\log\left(\dfrac{a}{b}\right)$

to write the equation as

$\log_2(3x+4)-6\log_2(x)=2 \iff \log_2(3x+4)-\log_2(x^6)=2 \iff \log_2\left(\dfrac{3x+4}{x^6}\right)=2$

Now consider both sides as exponents of 2:

$\dfrac{3x+4}{x^6}=4 \iff 4x^6-3x-4=0$

This equation has no "nice" solution, so I guess the problem is as simplifies as it can be

5 0

3 years ago