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soldi70 [24.7K]
3 years ago
12

What numbers multiply to make -384 and add to make 8?

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
4 0

Answer:

-16 and 24

Step-by-step explanation:

-16 x 24 = -384

-16 + 24 = 8

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If z is inversely proportional to r, and z= 32 when r=1.5, find r when z=8.
lions [1.4K]
Inversely proportional: z = k/r
k = 32 * 1.5 = 48
Plug that into equation
8 = 48/r
Multiply both sides by r
8r = 48
Divide by 8
r = 6
8 0
3 years ago
A biologist observed a population of bacteria that grew at a rate expressed by the exponential equation
bearhunter [10]

Answer:

<em>It will take 26.34 minutes for the population to reach 5 times its initial value</em>

Step-by-step explanation:

<u>Exponential Growing</u>

The population of bacteria grows at a rate expressed by the equation:

f(t)=256e^{0.06111t}

Where t is in minutes.

We need to know when the population will reach 5 times its initial value. The initial value can be determined by setting t=0:

f(0)=256e^{0.06111\cdot 0}=256\cdot 1=256

Now we find the time when the population is 5*256=1,280. The equation to solve is:

1,280=256e^{0.06111t}

Dividing by 256:

e^{0.06111t}=1,280/256=5

Taking natural logarithms:

ln\left(e^{0.06111t}\right)=ln5

Applying the logarithm properties:

0.06111t=ln5

Solving for t:

t=ln5/0.06111=26.34

It will take 26.34 minutes for the population to reach 5 times its initial value

6 0
4 years ago
One number is 9 more than another number, and the sum of the two numbers is 35.
Effectus [21]
<h2><u>Answer:</u></h2>

One number = x

Other number = 9 + x

Sum of the numbers = 35

Value of the smaller number (x) = ?

9 + x + x = 35 \\ 9 + 2x = 35 \\ 2x = 35 - 9 \\ 2x = 26 \\ x =  \frac{26}{2}  \\ x = 13

<h3>➟ The value of the smaller number is <u>13</u></h3>

7 0
3 years ago
Read 2 more answers
At a coffee shop, the first 100 customers'
Rudiy27

Answer:

so there is a 5% change of or ordering a large cold drink

Step-by-step explanation:

first add the total of all drinks

5+48+22+8+12+5=100

the amount of large drinks that are cold are 5

so there is a 5% change of ordering a large cold drink

8 0
1 year ago
Someone please help I promise I will mark brainlest thank youuuu
aev [14]

Answer:

D. 0.7x+10.8

Step-by-step explanation:

I used desmos calculator and typed in all the equations and this is the only one that was close to the set of dots. I attached a screetshot so you can look for yourself. I hope this helps


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