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Studentka2010 [4]
3 years ago
11

What is the least common multiple (LCM) of 15 and 45? A. 15 B. 675 C. 45 D. 90

Mathematics
1 answer:
harkovskaia [24]3 years ago
3 0

Answer:

C - 45 is the LCM of 15 & 45

Step-by-step explanation:

Find the multiples:

15, 30, 45, 60

45, 90

They both have 45 in common

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4x2 + 4x - 1, evaluate and fully simplify each of the - For the function f(0) following f(s + h) f(x + h) - f(5) h 10
Andrew [12]

Given the function f(x);

f(x)=-4x^2+4x-1

Evaluating the function f(x+h);

\begin{gathered} f(x+h)=-4(x+h)^2+4(x+h)-1 \\ f(x+h)=-4(x^2+2xh+h^2)^{}+4(x+h)-1 \\ f(x+h)=-4x^2-4h^2-8xh^{}+4x+4h-1 \end{gathered}

So;

f(x+h)=-4x^2-4h^2-8xh^{}+4x+4h-1

Evaluating the second function;

\begin{gathered} \frac{f(x+h)-f(x)}{h}=\frac{-4x^2-4h^2-8xh^{}+4x+4h-1-(-4x^2+4x-1)}{h} \\ \frac{f(x+h)-f(x)}{h}=\frac{-4x^2-4h^2-8xh^{}+4x+4h-1+4x^2-4x+1}{h} \\ \frac{f(x+h)-f(x)}{h}=\frac{-4x^2+4x^2-4h^2-8xh^{}+4x-4x+4h-1+1}{h} \\ \frac{f(x+h)-f(x)}{h}=\frac{-4h^2-8xh^{}+4h}{h} \end{gathered}

simplifying further;

\begin{gathered} \frac{f(x+h)-f(x)}{h}=\frac{-4h^2-8xh^{}+4h}{h}=-4h-8x+4 \\ \frac{f(x+h)-f(x)}{h}=-4h-8x+4 \end{gathered}

Therefore, we have;

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7 0
1 year ago
A colony of 2^120 bacteria occupies a total volume of 1.3*10^15*m^3
finlep [7]
The complete question is 
A colony of  <span>2^120 bacteria occupies a total volume of </span><span>1.3 x 10^15 m^3. The surface area of a planet is approximately 5.42 x 10^14 m^2. </span>
<span>Complete parts​ (a) and​ (b) below. </span>

<span>a) Assume that the bacteria are distributed uniformly over the​ planet's surface. How deep would the bacterial layer​ be? (You can find the approximate depth by dividing the bacteria volume by the​ planet's surface​ area.) </span>
<span>____m </span>

<span>b) Would the bacteria be​ knee-deep, more than​ knee-deep, or less than​ knee-deep? </span>

<span>A. The bacteria would be less than​ knee-deep. </span>
<span>B. The bacteria would be more than​ knee-deep. </span>
<span>C. The bacteria would be​ knee-deep. </span>
<span>D. It depends on the height of the person
</span>
Part a) 
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<span>= (bacteria volume / planet surface area) </span>
<span>= (1.3 x 10^15 m³) / (5.42 x 10^14 m²) </span>
<span>= 2.4 m 
</span>
the answer Part a) is 
2.4 m

Part b) 
No information is given about the height of the 'people' on this planet, and hence we cannot guess at their average knee height. 
<span>2.4 meters is about 7.9 feet. That is obviously above the knee for any human, but. again, the question does not explicitly state that we are talking about Earth and humans
</span>
therefore

the answer part b) is the option
D. It depends on the height of the person
8 0
3 years ago
Estimate the sum <br><br> 1.37 + 0.9
guajiro [1.7K]

1.37 + 0.9\\\\\\=\dfrac{137}{100} + \dfrac{9}{10}\\\\\\=\dfrac{137}{100}+\dfrac{90}{100}\\\\\\=\dfrac{137+90}{100}\\\\\\=\dfrac{227}{100}\\\\\\=2.27

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2 years ago
Pack and ship charges customers 3/4 of a dollar for every 5/8 pound a package weighs. In pounds, how heavy is a package that shi
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$3/4 for 5/8 pound
(x4/3)
$1 for 5/6 pound

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