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liberstina [14]

3 years ago

5

A resort hotel has 260 guests. On one day, 6 groups of 13 guests leave to shop and 2 groups of 6 guests go sightseeing. Evaluat

e 260−(6×13)−(2×6) to find the number of guests that are left at the hotel.

1 answer:

Studentka2010 [4]3 years ago

5 0

Answer:

170

Step-by-step explanation:

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E^(8x)+e^(-x) find the interval on which f is increasing

saveliy_v [14]

Assuming ya mean
$f(x)=e^{8x}+e^{-x}$
take derivitive
remember dy/dx e^x=e^x
also the chain rule

so
$f'(x)=8e^{8x}+-1e^{-x}$
find where it equals 0
$0=8e^{8x}+-e^{-x}$
$e^{-x}=8e^{8x}$
multiply both sides by e^x
$1=8e^{9x}$
divide both sides by 8
$\frac{1}{8}=e^{9x}$
take ln of both sides
$ln(\frac{1}{8})=ln(e^{9x})$
$ln(\frac{1}{8})=9x$
divide both sides by 9
$\frac{ln(\frac{1}{8})}{9}=x$

x≈-1/5
f'(-1)<0
f'(0)>0

so it is increasing from x to infinity

the interval it is increasing on is $(\frac{ln(\frac{1}{8})}{9}, \infty)$

6 0

3 years ago

State of the triangles in each pair are similar. If so, State how you know they are similar and complete the similarity statemen

Flura [38]

Answer:

D. Similar, AA similarity, ΔSCD

Step-by-step explanation:

CD and RQ are parallel. Therefore, ∠Q and ∠D are corresponding angles, and ∠R and ∠C are also corresponding angles. Corresponding angles are congruent.

Therefore, by AA similarity, ΔSRQ ~ ΔSCD.

8 0

3 years ago

Mrs. Lowndes was building a play house for her grandson.

Vedmedyk [2.9K]

Answer:

21.25ft

Step-by-step explanation:

To solve for this, all you need to do is find a ratio proportional to the given. The given shows the following ratios:

$\dfrac{2in}{5ft}=\dfrac{8.5in}{x}$

All you need to do is solve for x. You can do this by first cross multiplying:

$\dfrac{2in}{5ft}=\dfrac{8.5in}{x}\\\\2in(x)=8.5in(5ft)\\\\2xin=42.5in/ft\\\\Divide\;both\;sides\;by\;2in\\\\\dfrac{2xin}{2in}=\dfrac{42.5in.ft}{2in}\\\\x=21.25ft$

8 0

4 years ago

Please help me the 3^2+8x=10 x=?

Kipish [7]

You have to multiply 3x3 since it says 3^2 then subtract 9 from 10 you get 1. Then you have to diving 8x and 1 and you get 1/8

7 0

3 years ago

Read 2 more answers

Help would be appreciated

Gekata [30.6K]

Answer: Yes

Step-by-step explanation:

x = 3

y = -7

10x + 20y ≥ -3

10 (3) + 20 (-7) ≥ -3

30 + (-140) ≥ -3

30 - 140 ≥ -3

-110 ≥ -3

(3, 7) is a solution

8 0

3 years ago