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Tcecarenko [31]
3 years ago
13

Can someone please help me i have an exam rn

Mathematics
1 answer:
N76 [4]3 years ago
3 0
2 x (1/2)(11.25)(6) = 67.5
12.75 x 24 = 306
11.25 x 24 = 270
6 x 24 = 144

add all sums together

= 787.5 m^2
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How is a variable defined
Free_Kalibri [48]

Answer: a variable is a symbol or letter, such as "x" or "y," that represents a value

Step-by-step explanation: a variable is a symbol or letter, such as "x" or "y," that represents a value

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3 years ago
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A population of beetles is growing according to a linear growth model. The initial population (week 0) is
Airida [17]

Answer:

<em>P=7.75t+13</em>

<em>t = 19 weeks</em>

Step-by-step explanation:

<u>Linear Modeling</u>

Some situations can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict future behaviors.

The linear function can be expressed in the slope-intercept format:

y = mx + b

Another equation of the line can be used when two points are given.

The equation of a line passing through points (x1,y1) and (x2,y2) can be written as follows:

\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

The population of beetles is a situation where we must apply linear modeling. Two points are given. For time t=0, the population is P=13. The point is (0,13). For time t=8, P=75. The point is (8,75).

Find the equation of the line:

\displaystyle P-P_1=\frac{P_2-P_1}{t_2-t_1}(t-t_1)

\displaystyle P-13=\frac{75-13}{8-0}(t-0)

\displaystyle P-13=\frac{62}{8}t

\displaystyle P-13=7.75t

The explicit formula is:

P = 7.75t + 13

Now we find when the beetle population is 161:

161 = 7.75t + 13

161 - 13 = 7.75t

7.75t = 148

t = 148/7.75

t = 19 weeks

7 0
3 years ago
A company launches 4 new products. The market price, in dollars, of the 4 products after a different number of years, x, is show
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The given functions appear to be ...

f(x)=4x\\g(x)=2^x\\h(x)=x^2+12\\j(x)=x^3

Of these, the exponential function g(x) will eventually exceed all others. That is the price of product 2, so ...

... The price of Product 2 will eventually exceed all others.

8 0
3 years ago
All of the following are equivalent except<br> (4)<br> 4+ y<br> 4. y<br> 4 у
wolverine [178]

plzzz brainliest

Answer:

the answer is b. 4+y

Step-by-step explanation:

all the other options are just expressing 4 in different ways

5 0
3 years ago
Read 2 more answers
Katie has been withdrawing the same amount of money from her savings account every month. The table below shows the amount of mo
pochemuha
<h3>Answer:  Choice B)  $790</h3>

==============================================================

Explanation:

x = number of months

y = account balance

The first column of the table has (x,y) = (8,470) to mean that on month 8, her balance was $470

Then we have (10, 390) meaning x = 10 and y = 39. As x increased by 2, y dropped by 470-390 = 80 dollars. She withdrew $80 over the course of two months. Therefore, she is withdrawing 80/2 = 40 dollars a month. This is the slope value. It represents the rate of change. We could use the slope formula to find the same result.

Let m = -40 be the slope. It's negative to indicate the value of y goes down as x goes up, or vice versa.

With m = -40, x = 8 and y = 470, we can find the y intercept b like so

y = mx+b

470 = -40*8+b

470 = -320+b

470+320 = b

790 = b

b = 790 is the y intercept, and it represents the initial account balance before Katie started withdrawing money.

In other words, it represents the starting amount of money she has.

-------------------------

As a slight alternative, we could use the point slope form to find the y intercept

y - y1 = m(x - x1)

y - 470 = -40(x - 8)

y = -40(x-8) + 470

y = -40x + 320 + 470

y = -40x + 790

You don't have to use (x,y) = (8,470). You can use any column you want from the table of values. The value of m will be m = -40 the whole time however.

-------------------------

As a way to check to see if we have the correct equation, try plugging in various values of x to see if you get the proper y values as outputs as shown in the table.

For instance, if we tried x = 10, then,

y = -40x + 790

y = -40*10 + 790

y = -400+790

y = 390

That confirms column 2. I'll let you verify the other columns.

8 0
3 years ago
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