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2 years ago

If Y is directly proportional to the square root of X and Y equals -32 when X equals 400, find Y if X equals 160,000

Mathematics

1 answer:

yan [13]2 years ago

4 0

Answer:

Step-by-step explanation:

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Tobias sent a chain letter to his friends, asking them to forward the letter to more friends. The number of people who receive t

dybincka [34]

Answer:

$P(t)=37\cdot 4^{t/9.1}$

Explanation:

This is an exponential growing: there is a constant growing factor which multiplies the value number of letters sent every week.

The growing factor 4 letters every 9.1 weeks means that every 9.1 weeks the number of letters is multiplied by 4.

Then, if the number of weeks is t, the number of times the number of letters increase is t/9.1.

Then, the exponential function that models the number of people who receive the email t weeks since Tobias initially sent the chain letter, has the form:

$P(t)=Initial\text{ }value\cdot 4^{(t/9.1)}$

Tobias initially sent the chain letter to 37 friends; thus, the initial value is 37, and the complete function is:

$P(t)=37\cdot 4^{t/9.1}$ , where t is the number of weeks since Tobias initially sent the chain letter.

7 0

3 years ago

Ahhh plz help last question!!! 15 points

Archy [21]

Area of triangle = 1/2(4)(4) = 16/2 = 8

if Area of square then A = 4 x 4 = 16

so answer
B. it's one half the area of square of side length 4 units

4 0

3 years ago

Read 2 more answers

Explain how to multiply the following whole numbers 21 x 14

Lesechka [4]

Answer:

$\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}$

________

$\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}$

Step-by-step explanation:

Given

$21\:\times \:14$

Line up the numbers

$\begin{matrix}\space\space&2&1\\ \times \:&1&4\end{matrix}$

Multiply the top number by the bottom number one digit at a time starting with the ones digit left(from right to left right)

Multiply the top number by the bolded digit of the bottom number

$\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}$

Multiply the bold numbers: 1×4=4

$\frac{\begin{matrix}\space\space&2&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}}{\begin{matrix}\space\space&\space\space&4\end{matrix}}$

Multiply the bold numbers: 2×4=8

$\frac{\begin{matrix}\space\space&\textbf{2}&1\\ \times \:&1&\textbf{4}\end{matrix}}{\begin{matrix}\space\space&8&4\end{matrix}}$

Multiply the top number by the bolded digit of the bottom number

$\frac{\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&8&4\end{matrix}}$

Multiply the bold numbers: 1×1=1

$\frac{\begin{matrix}\space\space&\space\space&2&\textbf{1}\\ \space\space&\times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&\space\space&8&4\\ \space\space&\space\space&1&\space\space\end{matrix}}$

Multiply the bold numbers: 2×1=2

$\frac{\begin{matrix}\space\space&\space\space&\textbf{2}&1\\ \space\space&\times \:&\textbf{1}&4\end{matrix}}{\begin{matrix}\space\space&\space\space&8&4\\ \space\space&2&1&\space\space\end{matrix}}$

Add the rows to get the answer. For simplicity, fill in trailing zeros.

$\frac{\begin{matrix}\space\space&\space\space&2&1\\ \space\space&\times \:&1&4\end{matrix}}{\begin{matrix}\space\space&0&8&4\\ \space\space&2&1&0\end{matrix}}$

adding portion

$\begin{matrix}\space\space&0&8&4\\ +&2&1&0\end{matrix}$

Add the digits of the right-most column: 4+0=4

$\frac{\begin{matrix}\space\space&0&8&\textbf{4}\\ +&2&1&\textbf{0}\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{4}\end{matrix}}$

Add the digits of the right-most column: 8+1=9

$\frac{\begin{matrix}\space\space&0&\textbf{8}&4\\ +&2&\textbf{1}&0\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{9}&4\end{matrix}}$

Add the digits of the right-most column: 0+2=2

$\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}$

Therefore,

$\begin{matrix}\space\space&\textbf{2}&\textbf{1}\\ \times \:&1&\textbf{4}\end{matrix}$

________

$\frac{\begin{matrix}\space\space&\textbf{0}&8&4\\ +&\textbf{2}&1&0\end{matrix}}{\begin{matrix}\space\space&\textbf{2}&9&4\end{matrix}}$

6 0

3 years ago

Find the domain of the function f of x equals the cube root of the quantity x plus three, minus one.

kifflom [539]

The domain of the function f of x equals the cube root of the quantity x plus three, minus one would be:

ALL REAL NUMBERS

I hope my answer has come to your help. God bless and have a nice day ahead!

8 0

3 years ago

Read 2 more answers

What’s the solution of x+y=29 and y=4x-11

tia_tia [17]

Answer:

x = 8

y = 21

Step-by-step explanation:

y = 4x − 11

x + y = 29

Solve for x:

x + y = 29

x + 4x − 11 = 29

5x − 11 = 29

5x = 40

x = 8

Solve for y:

y = 4x − 11

y = 4 × 8 − 11

y = 21

6 0

2 years ago