simplify the expression. explain when answering please!

Given:

The insect population function is:

[tex]f(x)=10(2)^x[/tex]

Where x is the number of weeks.

To find:

The population after 4 weeks.

Solution:

The population of insect after x weeks is given by:

[tex]f(x)=10(2)^x[/tex]

We need to find the population after 4 weeks.

After substituting [tex]x=4[/tex], we get

[tex]f(4)=10(2)^4[/tex]

[tex]f(4)=10(16)[/tex]

[tex]f(4)=160[/tex]

The population after 4 weeks is 160. Therefore, the correct option is C.

Answer:

24.997

Step-by-step explanation:

Let's start with the easy parts of the perimeter...the flat parts...7 + 7 = 14. We'll add that to the arch shortly.

We need to find the circumference of the whole circle, then divide by 4 to get 1/4 of a circle. (There might be a faster way, but this gets the job done.)

circumference = (2)(pi)(r)

= 2(3.142)(7) = 43.988

Now divide that by 4 for the distance of the arch.

43.988/4 = 10.997

Add that to the flat parts

10.997 + 14 = 24.997

Please let me know if you have any questions.

=- No way

Step-by-step explanation:

Answer:

"490 grams" would be the correct solution.

Step-by-step explanation:

The given values are:

Half time,

T = 35 days

Total time,

t = 105 days

As we know,

⇒ [tex]A=A_o(\frac{1}{2} )^{\frac{t}{T} }[/tex]

On substituting the values, we get

⇒     [tex]=3920\times (\frac{1}{2})^{\frac{105}{35} }[/tex]

⇒     [tex]=3920\times (0.5)^3[/tex]

⇒     [tex]=3920\times 0.125[/tex]

⇒     [tex]=490 \ grams[/tex]

Answer:

B. [tex]y=-\frac{2}{3}x+5[/tex]

Step-by-step explanation:

Equation of a line: y=mx+b (Where m is the slope and b is the y- intercept)

Parallel lines have the same slope.

So that means that the line will have the slope [tex]-\frac{2}{3}[/tex].

So we can write the equation of the line as y= -2/3x+b

Since it goes through the point (3,3) we can plug in 3 for x and y by doing:

[tex]y=-\frac{2}{3} x+b\\3=-\frac{2}{3} (3)+b\\3=-2+b\\b=5[/tex]

Now we know the y intercept (b) we can write the equation of the line.

[tex]y=-\frac{2}{3}x+5[/tex]

The equation of the line would be equal to y= -2/3x + 5

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

The Equation of a line: y=mx+b

Where m is the slope and b is the y- intercept

Since Parallel lines have the same slope.

So we can write the equation of the line as;

y= -2/3x+b

Since it goes through the point (3,3) we can plug in 3 for x and y

y= -2/3x+b

3 = -2 + b

b = 5

Now we know the y intercept (b) we can write the equation of the line.

y= -2/3x + 5

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ok, from what I just reviewed, once you get the equation into the form of y = mx + b, the m is the slope of a line.

So take the first street, Folsom

2y = 4x + 7

y = 2x + 7/2

the slope is 2.

The second street, Divisadero

5y = 2x + 9

y = 2/5x + 9/5

the slope is 2/5.

So whether we're talking about 2/5 of an inch, 2/5 of a foot, or 2/5 of a mile, 2/5 is less than 2, so I would rather go up the less steep road...Divisadero.

Answer: 5 times

Step-by-step explanation:

Your question isn't well written but let me rewrite it based on what I believe that you wrote.

Lauren studies for 3 1/3 hours. She took a break every 2/3 hour. How many breaks did she take?

To solve the question, we have to divide the number if hours used in studying by the interval used in taking a break. This will be:

= 3 1/3 ÷ 2/3

= 10/3 / 2/3

= 10/3 × 3/2

= 5

She took a break 5 times

Answer:

Step-by-step explanation:

Answer:

15/4

Step-by-step explanation:

Answer:

648 sq. in.

Step-by-step explanation:

The ratio of the flag is 1:18 and the question asks for the area of the flag.

To find the actual flag size, you got to multiply the width by 18.

Then you must multiply the length by 18.

A= LxW

A=36 x 18

A= 648 sq. in.

Therefore, the area of the actual flag is 648 sq. in.

Answer:

40m^2

Step-by-step explanation:

Hope it helps!!:)

Answer:

9)

10)

11)

12)

Answer:

Group A has a larger median

Step-by-step explanation:

Group A : 0,1,2,3,3,3,4,4,5,5,7,7,8,9,9

Group B : 0,1,1,1,1,2,2,2,3,3,3,5,,6,6,7,8,8,9,9,9

You cross the first number out then you cross the last number. You continue that pattern until you have one or two digits left. If you have two digits left, you add them then divide by two. That the median. But, if you only have one digit, that number is the median.

Answer: 1.574 × 10-3

Step-by-step explanation:

To convert 0.001574 into scientific notation, follow these steps:

Move the decimal 3 times to right in the number so that the resulting number, m = 1.574, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

n = -3

Write in the scientific notation form, m × 10n

= 1.574 × 10-3

Answer:

0.001574 in scientific notation  is 1.574 × 10^-3

Step-by-step explanation:

All numbers in scientific notation or standard form are written in the form m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.

To convert 0.001574 into scientific notation, follow these steps:

Move the decimal 3 times to right in the number so that the resulting number, m = 1.574, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

n = -3

Write in the scientific notation form, m × 10n

= 1.574 × 10^-3

Therefore, the decimal number 0.001574 written in scientific notation is 1.574 × 10^-3 and it has 4 significant figures.

Hope this helped!!!

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Answer:

decreasing and 0 i just had this question

Step-by-step explanation:

The number of subscribers is decreasing exponentially.

Suppose two dimensions are there, viz X and Y. Some values of X are there as X_1, X_2, ... , X_n and some values of Y are there as Y_1, Y_2, ... , Y_n

List them in title of the rows and left to the columns. There will be n \times k table of values will be formed(excluding titles and totals), such that:

Value(ith row, jth column) = Frequency for intersection of  X_i  and Y_j  (assuming X values are going in rows, and Y values are listed in columns).

Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.

For n = 2, and k = 2, the table would look like:

[tex]\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}[/tex]

where S denotes total of totals, also called total frequency.

n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.

We are given that;

The table

Now,

the number of subscribers to the magazine is decreasing exponentially because it is decreasing by a fixed percentage each year. The base of the exponential function is less than 1, which means that the function is decreasing. The inverse of an exponential function is a logarithmic function, which has the form f(x) = log_a(x), where a is the base of the exponential function. To find the inverse of an exponential function, you need to swap the x and y variables and solve for y using logarithms. For example, if f(x) = 2^x, then f^-1(x) = log_2(x).

Therefore, by the table the answer will be exponentially

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Answer:

x = 7/9 or 0.78 as a decimal

Step-by-step explanation:

have a nice day!! :)

Given:

The expression is:

[tex]2\log_5(5x^3)+\dfrac{1}{3}\log_5(x^2+6)[/tex]

To find:

The single logarithm expression for the given expression.

Solution:

We have,

[tex]2\log_5(5x^3)+\dfrac{1}{3}\log_5(x^2+6)[/tex]

Using properties of the logarithm, we get

[tex]=\log_5(5x^3)^2+\log_5(x^2+6)^{\frac{1}{3}}[/tex]           [tex][\because \log x^n=n\log x][/tex]

[tex]=\log_5(25x^6)+\log_5\sqrt[3]{x^2+6}[/tex]

[tex]=\log_5(25x^6)\sqrt[3]{x^2+6}[/tex]          [tex][\because \log a+\log b=\log (ab)][/tex]

Therefore, the correct option is B.

Answer:

3560.7

Step-by-step explanation:

Answer:

yo mama

Step-by-step explanation:

Answer:

Wat

Step-by-step explanation:

y o u n e e d a s t e p s I s t e r

Answer:

2.5 bottles

Step-by-step explanation:

10 * 500 ml = 5000 ml

5000 ml = 5 l

5/2 = 2.5

2-liter bottles of soda will need 2.5 bottles to fill ten 500 milliliter containers.

A liter is a cubic meter unit of volume which is equal to 1000 cubic centimeters.

1 liter = 1000 milliliters

Ten 500 milliliter containers

10 × 500 ml = 5000 ml

5000 ml = 5 l

2-liter bottles of soda will you need

5/2 = 2.5bottles

Therefore, 2-liter bottles of soda will need 2.5 bottles to fill ten 500 milliliter containers.

Learn more about liter;

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Answer:

Hey mate, here is your answer. Hope it helps you.

Step-by-step explanation:

6x-21 —->

x=21+6

=27

Answer:

x=11°

Step-by-step explanation:

PSRQ is square ⇒ ∠PQR=90°⇒ ∠PQS=45° ⇒ 6x-21=45 ⇒6x=66 ⇒x=11°

Answer: its C

Step-by-step explanation:

HOPE THIS HELPS

Answer:

50% chance

Step-by-step explanation:

Answer: 13

Step-by-step explanation:

Answer:

Step-by-step explanation:

Givens

r = 20 mm

Volume = 16328

h = ?

Formula

V = pi * r^2 * h

Solution

16328 = 3.14 * 20^2 * h

16328 = 3.14 * 400 * h

h = 16328/(3.14 * 400)

h = 16328 / 1256

h = 13

Answer:

251cm

Step-by-step explanation:

Answer:

0.54

Step-by-step explanation:

An integer is a WHOLE number without any fractional parts. Integers can be negative as long as it's a whole number.

Answer: If you draw any vertical line and it intersects more than one point on the relationship, it isn’t a function. The test is called the vertical line test. Hope this helps.

Step-by-step explanation: