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3 years ago

10 points+brainly i need this answered, i need the steps also.

Mathematics

1 answer:

Dovator [93]3 years ago

6 0

a) 5x+30

you can factor out 5

5( x+6)

b) 2x^6 -12x^2

the GCF is 2x^2

2x^2 (x^4 -6)

(remember when factoring out the x^2 from x^6 you subtract the exponents

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Im A All A+ Student How about you? Being Brainlist would be nice

raketka [301]

Answer:

you know it would be nice

Step-by-step explanation:

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3 years ago

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What is 52000-53800=? Show work

solmaris [256]

53800
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4 years ago

the equation shows the radius of the algae,f(d), in mm,after d days: f(d)=7(1.06)^d the radius of the algae was approximately 13

Andrei [34K]

Answer:

$\begin{gathered} A)\text{ }Domain:\text{ \lparen0,11\rparen} \\ B)\text{ the y-intercept represents that in 0 days the diameter of the algae will be 7 mm.} \\ C)\text{ rate of change= 0.64. This means that on average the algae grows 0.64mm per day.} \end{gathered}$

Step-by-step explanation:

If the radius of the algae was approximately 13.29 mm, substitute f(d)=13.29 and solve for d to determine the domain:

$\begin{gathered} 13.29=7\left(1.06\right)^d \\ \frac{13.29}{7}=1.06^d \\ d=\frac{\text{ log\lparen13.29/7\rparen}}{\text{ log\lparen1.06\rparen}} \\ d=11 \\ \text{ Then, the domain:} \\ (0,11) \end{gathered}$

B. The y-intercept is obtained when d=0, hence;

$\begin{gathered} d=0 \\ f(0)=7(1.06)^0 \\ f(0)=7 \end{gathered}$

Therefore, the y-intercept represents that in 0 days the diameter of the algae will be 7 mm.

C. Now, to determine the rate of change of a function, use the following equation:

$\text{ rate of change=}\frac{change\text{ over y}}{change\text{ over x}}$

Then, determine the value of f(4):

$\begin{gathered} f(4)=7(1.06)^4 \\ f(4)=8.83 \end{gathered}$

Hence, the rate of change on that interval of the function:

$\begin{gathered} \text{ rate of change=}\frac{13.29-8.83}{11-4} \\ \text{ rate of change=0.64 } \end{gathered}$

This means that on average the algae grows 0.64mm per day.

8 0

1 year ago

Sound travels along a telephone cable at 1.91 * 10^8 ms^-1 .How long does it take Tetsuo's voice to travel from his office phone

Evgesh-ka [11]

Answer:

1.958 * 10^-5 seconds or 0.00001958 seconds.

Step-by-step explanation:

3740 = 3.74 * 10^3 in scientific notation.

Time = distance / speed.

= 3. 74 * 10^3 / 1.91 * 10^8

= 1.958 * 10^-5 seconds.

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4 years ago

Which equation is correct?

nikdorinn [45]

Answer:

D) arccsc (x) = arcsin (1/x)

Step-by-step explanation:

Here's how you can prove it: Consider a right triangle with hypotenuse 1 and a side length 1/x. If θ is the angle opposite of 1/x, then:

sin θ = 1/x

and

csc θ = x

Solving for θ:

θ = arcsin (1/x)

θ = arccsc (x)

Therefore:

arccsc (x) = arcsin (1/x)

6 0

3 years ago