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charle [14.2K]
3 years ago
13

Javier is cooling a liquid in a science lab. The liquid starts at 85 degrees, and he cools it 3.5 degrees every minute for 12 mi

nutes. Create a number sentence to model this scenario.
Mathematics
1 answer:
bija089 [108]3 years ago
7 0
85- (3.5*12)

* means times


I think this is correct.
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A bacteria culture begins with eight bacteria which triple in size every week. how many bacteria exist in the culture after four
bija089 [108]
Well, you would have to multiply 8 by whatever factorial of 3, in this case 4 for the number of weeks
The equation is 8 x 3^4 which equals 648

My only thing is that they only triple in SIZE, and not multiply (as in make more of themselves) so technically speaking, there would still be 8 bacteria, just much bigger
3 0
3 years ago
The general term of an arithmetic sequence is tn = 32 + 3n, where n ∈N and n ≥ 1. The sequence is
Debora [2.8K]

Answer:

D) 35, 38, 41, 44, 47, 50,...

Step-by-step explanation:

The general term of an arithmetic sequence is

t_n=32+3n, where n ∈N and n ≥ 1.

When n=1,

t_1=32+3(1)=35

When n=2,

t_2=32+3(2)=38

When n=3,

t_3=32+3(3)=41

When n=4,

t_4=32+3(4)=44

When n=5,

t_5=32+3(5)=47

When n=6,

t_6=32+3(6)=50

Hence the sequence is 35, 38, 41, 44, 47, 50,...

The correct answer is D

4 0
4 years ago
Solve for x: x5 + x4 − 7x3 − 7x2 − 144x − 144 = 0
motikmotik

x^5 + x^4 - 7x^3 - 7x^2 -144x - 144 = 0 \\x^4(x+1)-7x^2(x+1)-144(x+1)=0\\(x^4-7x^2-144)(x+1)=0\\\\x+1=0\Rightarrow x=-1\\\\x^4-7x^2-144=0\\x^4-16x^2+9x^2-144=0\\x^2(x^2-16)+9(x^2-16)=0\\(x^2+9)(x^2-16)=0\\(x^2+9)(x-4)(x+4)=0\\\\x^2+9=0\vee x-4=0 \vee x+4=0\\x=4 \vee x=-4\\\\x\in\{-4,-1,4\}

6 0
3 years ago
Read 2 more answers
Bill $42 , tax 9% , tip 18%
STatiana [176]

Answer:

Tax 3.78 $ and tip 7.56 $

Step-by-step explanation:

42*0.09 = 3.78

42*0.18 = 7.56

8 0
2 years ago
1.what is a sports car average acceleration if it can go from 0m/s to 27m/s in 6.0 seconds?
Flauer [41]

Answer:

1.4.5m/s^2

2.6.25m/s^2

3.15m/s^2

4.0.05m/s^2

Step-by-step explanation:

a=v-u

----

t

27-0

------ = 27/6

6

=4.5m/s^2

u=4.5m/s

v=24.5m/s

t=3.2s

(24.5-4.5)÷3.2

=20/3.2

=6.25m/s^2

v=80m/s

u=50m/s

t=2s

(80-50)÷2

15m/s^2

v=0.80m/s

u=0.50m/s

t=6s

(0.80-0.50)÷6

=0.05m/s^2

5 0
2 years ago
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