Sarah has some grapes. She gathers 3 more grapes. She now has 40 grapes.

Riz got $200 for his birthday. He bought several long tennis rackets that cost $45.50 each. After the purchase he has $18 . Writ

Sladkaya [172]

Answer:

he has bought 18 rackets.

Step-by-step explanation

papa loves a big juicy peen inside of him

8 0

2 years ago

Read 2 more answers

HELP ASAP<br> Find E, the midpoint of RD if R (4,-5) and D (2,3)

Arturiano [62]

Answer:

(3, - 1 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( $\frac{x_{1}+x_{2} }{2}$ , $\frac{y_{1}+y_{2} }{2}$ )

here (x₁, y₁ ) = R (4, - 5 ) and (x₂, y₂ ) = D (2, 3 )

midpoint = ( $\frac{4+2}{2}$ , $\frac{-5+3}{2}$ ) = ( $\frac{6}{2}$ , $\frac{-2}{2}$ ) = (3, - 1 )

6 0

1 year ago

You plant a tree that is 42 inches tall. After one year, the tree is 47 inches tall. Which expression describes the percent incr

kolezko [41]

Use cross multiplication. 42 inches is your 100%. your fraction would be 42/100
then, to find by what percent it has increased, since 47 is your new height, and you are trying to find the percentage for that, the fraction will be 47/X.

42 47
----- -----
100 X

(100 * 47) / 42 = X

100 multiplied by 47, then divided by 42, the result is X

your answer should be 111%. Subtract 100 from 111, to get the increased percent.

Answer: 11%

I did this last year, so it may be a little rusty. If im wrong, hopefully someone will correct me, if not, im pretty sure this looks rights. Your methods may also be different. i use cross mulitplication

4 0

3 years ago

Read 2 more answers

What are the steps, in the correct order, to write and solve an equation? Check all that apply *

Hoochie [10]

The correct order is:

1. identify the variable
2. identify the operation
3. write an equation
4. solve the equation
5. check the solution
Good luck.

5 0

3 years ago

Use calculus to find the absolute maximum and minimum values of the function. (round all answers to three decimal places.) f(x)

Allisa [31]

Part A:

Given the function $f(x)=x+2\cos(x)$ , the absolute maximum or minimum occurs when $f'(x)=0$ .

$f'(x)=0 \\ \\ \Rightarrow1-2\sin{x}=0 \\ \\ \Rightarrow2\sin{x}=1 \\ \\ \Rightarrow\sin{x}= \frac{1}{2} \\ \\ \Rightarrow x=\sin^{-1}{\frac{1}{2}}= \frac{\pi}{6}$

Using the second derivative test,

$f''(x)=-2cosx \\ \\ \Rightarrow f''\left( \frac{\pi}{6} \right)=-2\cos{\left( \frac{\pi}{6} \right)}=-1.732$

Since the second derivative gives a negative number, the given function has a maximum point at $x=\frac{\pi}{6}$ .

And the maximum point is given by:

$f\left( \frac{\pi}{6} \right)=\frac{\pi}{6}+2\cos\left( \frac{\pi}{6} \right) \\ \\ =0.5236+2(0.8660)=0.5236+1.732 \\ \\ =\bold{2.256}$

i.e. $\left(\frac{\pi}{6},\ 2.256\right)$

Part B:

Given the function $f(x)=e^{-x}-e^{-2x}$ , the absolute maximum or minimum occurs when $f'(x)=0$ .

$f'(x)=0 \\ \\ \Rightarrow-e^{-x}+2e^{-2x}=0 \\ \\ \Rightarrow2e^{-2x}=e^{-x} \\ \\ \Rightarrow2e^{-x}=1 \\ \\ \Rightarrow e^{-x}=\frac{1}{2} \\ \\ \Rightarrow-x=\ln \frac{1}{2}=-0.6931 \\ \\ \Rightarrow x=0.6931$

Using the second derivative test,

$f''(x)=e^{-x}-4e^{-2x} \\ \\ \Rightarrow f''(0.6931)=e^{-0.6931}-4e^{-2(0.6931)} \\ \\ =0.5-4e^{-1.386}=0.5-4(0.25)=0.5-1 \\ \\ =-0.5$

Since the second derivative gives a negative number, the given function has a maximum point at $x=0.6931$ .

And the maximum point is given by:

$f(0.6931)=e^{-0.6931}-e^{-2(0.6931)} \\ \\ =0.5-e^{-1.386}=0.5-0.25=\bold{0.25}$

i.e. (0.693, 0.25)

3 0

3 years ago