I need big help!!, 20 points

ser-zykov [4K]

Answer:

About 5043.58

Step-by-step explanation:

The standard form for an exponential decay after t time is:

$\displaystyle f(t)=a(r)^{t/d}$

Where a is the initial value, r is the rate decay, t is the time that has passed, and d is the amount of time it takes for 1 cycle.

The initial value is 9800. So a = 9800.

The quantity cuts in half. So, r = 1/2.

And it cuts in half every 6 days. For this question, we will convert this to hours. 6 days = 144 hours. So, we can let d = 144, where t will be in hours.

Therefore, our function is:

$\displaystyle f(t)=9800\Big(\frac{1}{2}\Big)^{t/144}$

Where t is the amount of time that has passed, in hours.

Then the quantity left after 138 hours will be:

$\displaystyle f(138)=9800\Big(\frac{1}{2}\Big)^{138/144}\approx 5043.58$

7 0

2 years ago

Answer if u love cats & dogs

eimsori [14]

Answer:

(7, 5.25) lies on the graph.

Step-by-step explanation:

We are given the following values

x = 4, 6, 8, 12 and corresponding y values are:

y = 3, 4.5, 6, 9

Let us consider two points (4, 6) and (6, 4.5) and try to find out the equation of line.

Equation of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given as:

$y=mx+c$

where m is the slope.

(x,y) are the coordinates from where the line passes.

c is the y intercept.

Here,

$x_{1} = 4\\x_{2} = 6\\y_{1} = 3\\y_{2} = 4.5$

Formula for slope is:

$m = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m = \dfrac{4.5-3}{6-4}\\\Rightarrow m = \dfrac{1.5}{2}\\\Rightarrow m = \dfrac{3}{4}$

Now, the equation of line becomes:

$y=\dfrac{3}{4}x+c$

Putting the point (4,3) in the above equation to find c:

$3=\dfrac{3}{4}\times 4+c\\\Rightarrow 3=3+c\\\Rightarrow c =0$

So, final equation of given function is:

$y=\dfrac{3}{4}x$

OR

$4y=3x$

As per the given options, the point (7, 5.25) satisfies the equation.

So correct answer is $(7, 5.25)$ .

6 0

3 years ago

Which of the following is not a congruence transformation? A) a reflection over the axis b) a dilation with scale factor 0.5 c)

Wewaii [24]

It would be c because this isn't transforming it

6 0

3 years ago

Maria works in a factory that produces new cars. She is having trouble with one of the machines. In order to work properly, the

Dovator [93]

Answer:

Maria did her job properly. Both gears are perpendicular.

Step-by-step explanation:

Recall that given vectors a and b, they are perpendicular if and only if $a\cdot b$ =0. If $a=(a_1,a_2),b=(b_1,b_2)$ . Then $a\cdot b = a_1b1_+a_2b_2$ .

IN our case a=(5,-1,2) and b) (1,-3,-4). So,

$a\cdot b = 5\cdot 1 + (-1)\cdot(-3) + 2\cdot(-4) = 5+3-8 =0$

So both gears are perpendicular.

3 0

3 years ago

John Gray bought a basic car for $8,250.00, with options that cost $324.00. There's a 6% sales tax in his state and a combined $

Crank

Cost of the basic car bought by John Gray = $8250
Optional cost incurred after buying = $324
Total cost before tax = 8250 + 324
= $8574
Percentage of sales tax incurred = 6%
Amount of sales tax charged = (6/100) * 8574
= $514.44
License and registration fees paid = $50
John's total cost = 8250 + 324 + 514.44 + 50
= 9138.44 dollars
From the above deduction, it can be easily concluded that the correct option among all the options that are given in the question is the first option or option "A".

6 0

3 years ago