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sweet-ann [11.9K]
3 years ago
11

What is the value of the variable -38 = 2b + 25 - (-7b)

Mathematics
1 answer:
ddd [48]3 years ago
4 0
The variable in this equation is b, therefore we have to calculate the value of b.

-38=2b+25-(-7b)
-38=2b+25+7b
2b+7b=-38-25
9b=-63
b=-63/9
b=-7

Answer: the value of the variable is b=-7

We can check it out this answer:
-38=2b+25-(-7b)
-38=2(-7)+25-(-7(-7))
-38=-14+25-49
-38=-38
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Round 637.892 to whole number
Stels [109]

Answer:

638

Step-by-step explanation:

its 638, not 639 because its above 638.5

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3 years ago
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You roll a fair 666-sided die. What is \text{P(roll greater than 4})P(roll greater than 4)P, left parenthesis, r, o, l, l, space
enyata [817]

Answer:

0.5

Step-by-step explanation:

I found this out because I am smart

7 0
3 years ago
the population P (t) of a culture of bacteria is given by P (t) =-1710t +92,000t+10,000, where t is the time in hours since the
Akimi4 [234]

The question might have some mistake since there are 2 multiplier of t. I found a similar question as follows:

The population P(t) of a culture of bacteria is given by P(t) = –1710t^2+ 92,000t + 10,000, where t is the time in hours since the culture was started. Determine the time at which the population is at a maximum. Round to the nearest hour.

Answer:

27 hours

Step-by-step explanation:

Equation of population P(t) = –1710t^2+ 92,000t + 10,000

Find the derivative of the function to find the critical value

dP/dt = -2(1710)t + 92000

         = -3420t + 92000

Find the critical value by equating dP/dt = 0

-3420t + 92000 = 0

92000 = 3420t

t = 92000/3420 = 26.90

Check if it really have max value through 2nd derivative

d(dP)/dt^2 = -3420

2nd derivative is negative, hence it has maximum value

So, the time when it is maximum is 26.9 or 27 hours

5 0
3 years ago
The product of (3 + 2i) and a complex number is (17 + 7i).
Vesna [10]
A+bi is a complex number

(3+2i)(a+bi)=17+7i
remember
i²=-1
so
expand and solve
a is the ral part
bi is the imaginary part
ok so
if Ac+Be=dc+fe where c=c and e=e then A=d and B=f

(3+2i)(a+bi)=17+7i
expand/distribute/FOIL
3a+2ai+3bi+2bi²=17+7i
3a+2bi+2ai+2bi=17+7i
3a-2b+2ai+2bi=17+7i
real parts are 3a-2b
imaginary is 2ai+2bi
so

3a-2b=17 and
2ai+2bi=7i

we need to solve
2nd equation, divide both sides by i
2a+2b=7
multiply by -1 and add to other equation

3a+2b=17
<u>-2a-2b=-7 +</u>
1a+0b=10
a=10

subsitue
2a+2b=7
2(10)+2b=7
20+2b=7
2b=-13
b=-13/2


the complex number is
10-(13/2)i or
10-6.5i
8 0
3 years ago
A large pizza with diameter of 18 in. is cut into 8 equal slices. How long is the crust of one slice of pizza.
Semmy [17]

Answer:

9

Step-by-step explanation:

18/2=9

Oh wait. I am wrong

7 0
3 years ago
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