What’s the answer 10x^2 +1-x^2

Would appreciate help on this please and thanks

bonufazy [111]

Since it is an isosceles trapezoid;
AB=CD which means;
5y-3=6y-17
get the variables to one side and you get:
-3=y-17
Then add 17 to both sides and
14=y
Therefore y=14 is your answer

8 0

3 years ago

Please answer this question.i would really apreciate it

mart [117]

What is the question?

5 0

3 years ago

A population of bees is decreasing. The population in a particular region this year is 1,250. After 1 year, it is estimated tha

8_murik_8 [283]

To model this situation, we are going to use the decay formula: $A=Pe^{rt}$
where
$A$ is the final pupolation
$P$ is the initial population
$e$ is the Euler's constant
$r$ is the decay rate
$t$ is the time in years

A. We know for our problem that the initial population is 1,250, so $P=1250$ ; we also know that after a year the population is 1000, so $A=1000$ and $t=1$ . Lets replace those values in our formula to find $r$ :
$A=Pe^{rt}$
$1000=1250e^{r}$
$e^{r}= \frac{1000}{1250}$
$e^{r}= \frac{4}{5}$
$ln(e^{r})=ln( \frac{4}{5} )$
$r=ln( \frac{4}{5} )$
$r=-02231$

Now that we have $r$ , we can write a function to model this scenario:
$A(t)=1250e^{-0.2231t}$ .

B. Here we are going to use a graphing utility to graph the function we derived in the previous point. Please check the attached image.

C.
- The function is decreasing
- The function doe snot have a x-intercept
- The function has a y-intercept at (0,1250)
- Since the function is decaying, it will have a maximum at t=0:
$A(0)=1250e^{(-0.2231)(0)$
$A_{0}=1250e^{0}$
$A_{0}=1250$
- Over the interval [0,10], the function will have a minimum at t=10:
$A(10)=1250e^{(-0.2231)(10)$
$A_{10}=134.28$

D. To find the rate of change of the function over the interval [0,10], we are going to use the formula: $m= \frac{A(0)-A(10)}{10-0}$
where
$m$ is the rate of change
$A(10)$ is the function evaluated at 10
$A(0)$ is the function evaluated at 0
We know from previous calculations that $A(10)=134.28$ and $A(0)=1250$ , so lets replace those values in our formula to find $m$ :
$m= \frac{134.28-1250}{10-0}$
$m= \frac{-1115.72}{10}$
$m=-111.572$
We can conclude that the rate of change of the function over the interval [0,10] is -111.572.

7 0

3 years ago

In ΔАВС, m∠ACB = 90°, <br> CD<br> ⊥ <br> AB<br> m∠ACD = 30°, and AC = 6 cm. Find BD

myrzilka [38]

It is 9 because you have a 30,60,90 triangle, and then you can use pythagorean theorem.

3 0

4 years ago

Read 2 more answers

Corn costs 99 cents per pound, and beans cost 45 cents per pound. If Shea buys 24 total pounds of corn and beans, and it costs $

viva [34]

Shea bought 13.5 pounds of corn

c = pounds of corn
b = pounds of beans

Here’s what we know:
c(0.99) + b(0.45) = 18.09
c + b = 24

Solve the second equation for c in terms of b

c = 24-b

Substitute that expression for c in our first equation to get a numerical solution for b:

0.99 (24-b) + 0.45b = 18.09
23.76 - 0.99b + 0.45b = 18.09
-0.54b = -5.67
b = 10.5

Substitute that value to get a numerical value for c:

c = 24 - b
c = 24 - 10.5
c = 13.5

Check the math:

0.99(13.5) + 0.45(10.5) =
13.365 + 4.725 = 18.09

4 0

3 years ago