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andrey2020 [161]
3 years ago
11

There are (3^2)4 ⋅ 3^0bacteria in a petri dish. What is the total number of bacteria in the dish?

Mathematics
1 answer:
Rufina [12.5K]3 years ago
3 0

Answer 36

Do the parentheses first (3^2)=9

(9)4•1

The 1 is because 3^0 is just 1

9•4 is 36 and 36•1 is 36.

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topjm [15]
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7 0
3 years ago
What’s the value and what makes the x in the equation -6(x+11)+ 2x = 70 true ?
madreJ [45]

Answer:

x=-34

Step-by-step explanation:

isolate the variable by diving each side by the factors that don't contain a variable.

4 0
3 years ago
Read 2 more answers
PLEASE HELP ME FAST!
Elenna [48]

Answer:

From <u>fourth</u> month onwards, the growth rate of f(x) is greater than that of g(x).

Step-by-step explanation:

Given:

The growth rates of both bank accounts are given as:

f(x)=3^x\\g(x)=5x+25

Now, as per question, we need to find the value of 'x' when the value of f(x)>g(x). Or,

3^x>5x+25

Now, we can do this by checking the values of 'x' by hit and trial method.

Let x=1. The inequality becomes:

3^1>5(1)+25\\3>30(False)

Let x=2. The inequality becomes:

3^2>5(2)+25\\9>35(False)

Let x=3. The inequality becomes:

3^3>5(3)+25\\27>40(False)

Let x=4. The inequality becomes:

3^4>5(4)+25\\81>45(True)

Therefore, the value of 'x' for which f(x)>g(x) is 4.

So, from the fourth month onwards, the balance in f(x) becomes greater than g(x).

The graphical solution is shown below to support the same.

From the graph, we can conclude that after the 'x' value equals 3.4, the graph of f(x) lies above of g(x). Hence, f(x)>g(x) for x>3.4

8 0
3 years ago
Find the product.
kherson [118]
<span><span><span>(<span>−<span>320x</span></span>)</span><span>(7)</span></span>16</span><span>=<span>−<span>140

The answer is -140

Hope this helps!
</span></span></span>
6 0
4 years ago
Read 2 more answers
Indicate the equation of the line meeting the given conditions. Please put the equation in standard form. Containing A (1, 3) an
wolverine [178]
A line through two points A, B can be found by the point-slope form of the formula:

(y-ya)=m(x-xa)............(1)
and 
m=(yb-ya)/(xb-xa).......(2)

where A(xa,ya), B(xb,yb) and m is the slope between points A & B.

Substituting
A(xa,ya)=A(1,3)
B(xb,yb)=B(0,2)

From (2)
m=(yb-ya)/(xb-xa)
=(2-3)/(0-1)
=-1/(-1)
=1

Substitute in (1)  : (y-ya)=m(x-xa)
y-3=1(x-1)
Distribute and simplify
y=x-1+3=x+2
or
y=x+2  .................(3a) equation required in slope-intercept form

x-y+2=0...............(3b) equation in standard form
3 0
3 years ago
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