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4 years ago

I need help with these problems please

Mathematics

1 answer:

DanielleElmas [232]4 years ago

4 0

Answer:

20=5 because if a =(x+20)° then as my solution b=5

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What are the zeros of the equation -90 =x(x-18)

Charra [1.4K]

Answer:x= 9+3i, 9−3i

4 0

4 years ago

A bacteria colony increases in size at a rate of 4.0565e1.3t bacteria per hour. If the initial population is 54 bacteria, find t

Dovator [93]

Answer:

Population of bacteria four hours later $A=616.5187$ or nearest whole number

$A=616$

Step-by-step explanation:

Given,

Let amount of bacteria four hours later is=A

Rate of increase of bacteria per hour $=\frac{\partial x}{\partial t}=4.0565e^{1.3t}$

Initial population of bacteria is =54

Time 4 hours

Find the population of bacteria 4 hours later

Solution,

$\int_{54}^{A}dx=\int_{0}^{4}4.0565e^{1.3t}dt$

$\left [ x \right ]_{54}^{A}=4.0565/1.3\left [e^{1.3t} \right ]_{0}^{4}$

$A-54=4.0565/1.3\left ( e^{1.3\times 4} -1\right )$

$A-54=562.5187301$

$A=562.5187301+54$

$A=616.5187$

Population of bacteria 4 hours later is $A=616$

8 0

4 years ago

As a maintenance electrician, it takes you 40 minutes to rewire a motor. You have 6 motors to rewire.

bazaltina [42]

Answer:

The maintenance electrician takes 287.555555566667 hours to to rewire all the motors

Step-by-step explanation:

1. Calculate all of the minutes for all the numbers.

It takes you 26.6666667 minutes to rewire 2/3 of a motor.

It takes you 160 minutes to rewire 4 motors.

It takes you 266.666667 to rewire 6 2/3 motors

It takes you 7,200 minutes to rewire 180 motors

It takes you 9,600 minutes to rewire 240 motors

2. Add all of the minutes together.

26.666667 + 160 + 266.666667 + 7,200 + 9,600 = 17253.333334

It takes you 17253.333334 minutes to rewire 431.333333 motors

3. Convert minutes to hours

17253.333334/60 = 287.555555566667

It takes you 287.555555566667 hours to rewire all the motors

7 0

3 years ago

Can you help me with this and explain it plz?

podryga [215]

812

Convert 45% into a decimal
45% = 4.5
Multiply 560 by 4.5
560 • 4.5 = 252
Add 252 to 560
560 + 252 = 812

Hope this helps :)

7 0

3 years ago

Use properties of rational exponents to simplify the expression. Assume that all variables represent positive numbers. Superscri

blsea [12.9K]

Hi, your question was incomplete hence I have attached the complete version of the question below.

Answer:

Step-by-step explanation:

Using the property of the product of the exponents on the base and removing the parentheses,

(125x^9y^6)^(1/3) = (125)^(1/3) * (x^9)^(1/3) * (y^6)^(1/3)

= (125)^(1/3) * (x)^9*(1/3) * (y)^6*(1/3)

= 5 * (x)^3 * (y)^2

= 5 x^3 y^2

hence the required result is 5 x^3 y^2

6 0

3 years ago