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valentinak56 [21]
3 years ago
12

The value of the expression 3^-4 • 3^-5 is

Mathematics
1 answer:
attashe74 [19]3 years ago
5 0

Answer:

3^-9

Step-by-step explanation:

3^-4 • 3^-5

We know that a^b * a^c = a^(b+c)

3^-4 • 3^-5 = 3^(-4-5) = 3^ -9

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Your throw your ball into a air from height of 4.2
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4.2m
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3 0
3 years ago
Write a quadratic equation with roots of 3/4 and -4
Vaselesa [24]

A quadratic equation given roots is solved by using the relation

{x}^{2}  - (sum \: of \: roots)x + product \: of \: roots

from the question,

sum of the root will be

\frac{3}{4}  + ( - 4) =  \frac{3}{4}  - 4

=   \frac{3 - 16}{4}

=  \frac{ - 13}{4}

and also, product of the roots will

be

\frac{3}{4}  \times ( - 4) =  - 3

now substituting the sum of roots and product of roots into the equation

{x}^{2}  - ( -  \frac{13}{4} )x - 3

=  {x}^{2}  +  \frac{13}{4} x - 3

as the quadratic equation for the root 3/4 and -4

4 0
3 years ago
To begin a bacteria study, a petri dish had 2800 bacteria cells. Each hour since, the number of cells has increased by 7.2%. Let
Rudiy27
The function that models exponential growth is:

P(t) = P0*(1 + r)^t, where

P0 = P(0) is the initial value of P

r is the growth rate as a decimal

In our case we have:

P(0) = 2800

r = 0.035 or 3.5%

P(t) = 2800*(1 + 0.035)^t

P(t) = 2800*(1.035)^t

The same exponential function written using y and t is:

y = 2800*1.035^t.

Explanation: https://softmath.com/algebra-word-problems/to-begin-a-bacteria-study-a-petri-dish-had-2800-bacteria
7 0
2 years ago
Joe has to take two quizzes tomorrow. He has only enough time to study for one of them. The science quiz has 6 true or false que
finlep [7]

Answer:

C) English

Step-by-step explanation:

I don't really know how to explain it, so I'll show you instead.

For science, there are 6 of 6 correct answers with a 0.5 chance of answering correctly.

So,

0.5 x 0.5 x 0.5 x 0.5 x 0.5 x 0.5 = 0.016

For English, there are 4 of 4 correct answers with a 0.25 chance of answering correctly.

So,

0.25 x 0.25 x 0.25 x 0.25 = 0.004

They will have to study English (0.004) because it is lower than science (0.016).

4 0
2 years ago
Read 2 more answers
Find the 31st term of the following sequence.. . 9, 15, 21, .... . . 186. 189. 195. . . is there an easy way to do this.
Alja [10]
This problem is an example of an arithmetic series.

The common difference of the second term (15) with the first term (9) and the third term (21) with the second term (15) [15-9=6; 21-15=6] is 6.

The formula for solving this is:
An= A1 +(n-1)*d where An is the nth term, A1 is the first term, n is the number of terms and d is the common difference.

An=9+ (31-1)*6 = 189

The answer is 189.
7 0
3 years ago
Read 2 more answers
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