Pls help I will give you 15 points

marusya05 [52]

Answer:

2:15 pm

Step-by-step explanation:

The time that Theo finishes is the sum of the start time and the duration of the cleaning. The duration is the sum of the cleaning times for each of the rooms and the break time.

__

<h3>sum of minutes</h3>

It is convenient to convert all of the times to minutes, then convert the total back to hours and minutes.

kitchen +lounge +bedroom +bathroom +breaks

= (60 +50) +(55) +(1/2×60) +(35) +(85)

= 110 +55 +30 +35 +85

= 315 . . . . minutes

<h3>minutes and hours</h3>

There are 60 minutes in an hour, so the sum is ...

(315/60) hours = 5 15/60 hours = 5:15 . . . . written as hours : minutes

Then the time Theo finishes is ...

9:00 +5:15 = 14:15 = 2:15 pm

Theo will finish cleaning at 2:15 pm.

_____

<em>Additional comment</em>

On a 24-hour clock, hours after noon are numbered 13, 14, 15, ... to 23 at 11 pm. The 12-hour representation of the pm hours can be found by subtracting 12 from the hour number.

3 0

2 years ago

Find the value of x in the triangle shown below 2 10

OlgaM077 [116]

Answer:

the answer is A

Step-by-step explanation:

the Pythagorean theorem is a squared + b squared = c squared (c always being the hypotenuse and a and b being the legs. 2 (4) squared pus 10 (100) squared=104 then you would use the square root of 104. 104 does not have a whole number square so the answer is $\sqrt{104\\$

5 0

3 years ago

Read 2 more answers

For the function given below, find a formula for the Riemann sum obtained by dividing the interval [0,5] into n equal subinterva

sergij07 [2.7K]

Given

we are given a function

$f(x)=x^2+5$

over the interval [0,5].

Required

we need to find formula for Riemann sum and calculate area under the curve over [0,5].

Explanation

If we divide interval [a,b] into n equal intervals, then each subinterval has width

$\Delta x=\frac{b-a}{n}$

and the endpoints are given by

$a+k.\Delta x,\text{ for }0\leq k\leq n$

For k=0 and k=n, we get

$\begin{gathered} x_0=a+0(\frac{b-a}{n})=a \\ x_n=a+n(\frac{b-a}{n})=b \end{gathered}$

Each rectangle has width and height as

$\Delta x\text{ and }f(x_k)\text{ respectively.}$

we sum the areas of all rectangles then take the limit n tends to infinity to get area under the curve:

$Area=\lim_{n\to\infty}\sum_{k\mathop{=}1}^n\Delta x.f(x_k)$

Here

$f(x)=x^2+5\text{ over the interval \lbrack0,5\rbrack}$ $\Delta x=\frac{5-0}{n}=\frac{5}{n}$ $x_k=0+k.\Delta x=\frac{5k}{n}$ $f(x_k)=f(\frac{5k}{n})=(\frac{5k}{n})^2+5=\frac{25k^2}{n^2}+5$

Now Area=

$\begin{gathered} \lim_{n\to\infty}\sum_{k\mathop{=}1}^n\Delta x.f(x_k)=\lim_{n\to\infty}\sum_{k\mathop{=}1}^n\frac{5}{n}(\frac{25k^2}{n^2}+5) \\ =\lim_{n\to\infty}\sum_{k\mathop{=}1}^n\frac{125k^2}{n^3}+\frac{25}{n} \\ =\lim_{n\to\infty}(\frac{125}{n^3}\sum_{k\mathop{=}1}^nk^2+\frac{25}{n}\sum_{k\mathop{=}1}^n1) \\ =\lim_{n\to\infty}(\frac{125}{n^3}.\frac{1}{6}n(n+1)(2n+1)+\frac{25}{n}n) \\ =\lim_{n\to\infty}(\frac{125(n+1)(2n+1)}{6n^2}+25) \\ =\lim_{n\to\infty}(\frac{125}{6}(1+\frac{1}{n})(2+\frac{1}{n})+25) \\ =\frac{125}{6}\times2+25=66.6 \end{gathered}$

So the required area is 66.6 sq units.

3 0

1 year ago

Three consecutive even integers that add up to -6. What are these integers?

Gekata [30.6K]

Answer:

-1, -2, -3 Are all consecutive

Step-by-step explanation:

-1 + -2 + -3 = -6

7 0

3 years ago

Luke purchased a motorcycle for $8765. It depreciates about 5.3% each yeah. What is the value of the motorcycle after five years

Charra [1.4K]

After 5 years, the value of this motorcycle is $<span>6675.77</span>

8 0

3 years ago

Read 2 more answers