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Andrei [34K]
3 years ago
10

What is the quotient of 4 2/3s÷4 1/5

Mathematics
2 answers:
Helga [31]3 years ago
6 0

Answer:

4 \frac{9}{10} s

Step-by-step explanation:

To divide, convert the mixed numbers into improper fractions.

\frac{14}{12}s ÷ \frac{21}{5}

To divide, change it to multiplication and use the reciprocal.

\frac{14}{12}s * \frac{21}{5}  \\\\\frac{14*21}{12*5}s \\\\\frac{294}{60}s \\\\ 4\frac{54}{60}s \\\\4 \frac{9}{10} s

SpyIntel [72]3 years ago
5 0

Is the s suppose to be “s” there?

Use the inverse of the 2 number & multiply.

14 * 5

—— ——-

3 21

70/63

Reduced to 10/9 or 1 1/9

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The population of a certain species of bird in a region after t years can be modeled by the function P(t)= 1620/1+1.15e^-0.042t
natka813 [3]

Answer:

A

Step-by-step explanation:

The function is  \frac{1620}{1+1.15e^{-0.042t}}

To find the maximum population, we need to set t towards infinity to get our answer.

So, we replace time with maximum (\infty). Let's check:

\frac{1620}{1+1.15e^{-0.042t}}\\=\frac{1620}{1+\frac{1.15}{e^{0.042t}}}\\=\frac{1620}{1+\frac{1.15}{e^{0.042(\infty)}}}\\=\frac{1620}{1+\frac{1.15}{\infty}}\\=\frac{1620}{1+0}\\=\frac{1620}{1}\\=1620

The population of birds approaches 1620 as t goes towards infinity. So we can say the max population of the species is 1620.

Correct answer is A

5 0
3 years ago
Read 2 more answers
I need help quick!! its due in 10 mintunes helpp!!!!!
irina1246 [14]

Answer:

b) 10

Step-by-step explanation:

(3×10+46)+14 = 90

<em>Hope this helps!!!!!</em>

8 0
2 years ago
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The perimeter of a patio is 16m what is the area
Darina [25.2K]

Answer:

16m

Step-by-step explanation:

The correct answer is 16m for this question.

Formula: L*W

I know this because 4 goes into 16.

Hope this helps.

3 0
3 years ago
Mr. Smith ordered 27 boxes of baseballs. There were 30 baseballs in each box. How many baseballs did Mr. Smith order?
kirill115 [55]

Answer:

27x30=810

Step-by-step explanation:

4 0
3 years ago
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Let ρ = x3 + xe−x for x ∈ (0, 1), compute the center of mass.
hram777 [196]

The center of mass is mathematically given as

\bar{x}=\left(\frac{44 e-100}{25 e-40}\right)\end{aligned}

<h3>What is the center of mass.?</h3>

Determine the center of mass in one dimension:

Represent the masses at the respective distances.

\begin{|c|c|} Masses \ & \ \ \ \ \ \ \ \ \ \ \ \ \ \ Located at \\\rho=x^{3}+x \cdot e^{-x} & \ \  \ \  x \in(0,1)$ \\\end

We calculate the total mass of the system.

\begin{aligned}m &=\int_{0}^{1} \rho \cdot d x \\& m =\int_{0}^{1}\left(x^{3}+x \cdot e^{-x}\right) \cdot d x \\&m =\left|\frac{x^{4}}{4}-(x+1) e^{-x}\right|_{0}^{1} \\&m =\left(\frac{5}{4}-\frac{2}{e}\right)\end{aligned}

Step 03: Calculate the moment of the system.

\begin{aligned}M &=\int_{0}^{1}(\rho \cdot x) \cdot d x \\& M=\int_{0}^{1}\left(x^{4}+x^{2} \cdot e^{-x}\right) \cdot d x \\&M =\left|\frac{x^{5}}{5}-\left(x^{2}-2 x+2\right) \cdot e^{-x}\right|_{0}^{1} \\&M=\left(\frac{11}{5}-\frac{5}{e}\right)\end{aligned}

we calculate the center of mass.

\begin{aligned}\bar{x} &=\left(\frac{M}{m}\right) \\& \bar{x}=\left\{\left(\frac{\left.11-\frac{5}{5}\right)}{\left(\frac{5}{4}-\frac{2}{e}\right)}\right\}\right.\\& \bar{x}=\left(\frac{11 e-25}{5 e}\right) \cdot\left(\frac{4 e}{5 e-8}\right) \\&\bar{x}=\left(\frac{44 e-100}{25 e-40}\right)\end{aligned}

Read more about the center of mass.

brainly.com/question/27549055

#SPJ1

8 0
2 years ago
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