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lesya692 [45]
3 years ago
10

Aro diagrams his river rafting trip, estimating the time it will take him to paddle upstream against the current, and then back

downstream with the current. His campsite destination is 5.2 miles upstream. Determine how fast Aro can paddle and how fast the river water is moving.
Upstream:

Downstream:

Use the fact that d = rt to write the system of equations that represents the scenario. Let x be the speed of Aro’s paddling and let y be the speed of the river.



Upstream:

5.2 = ()



Downstream:

5.2 = ()
Mathematics
2 answers:
worty [1.4K]3 years ago
6 0

Answer: upstream: 5.2= (x-y) 5

Downstream: 5.2= (x+y) 2.5

Step-by-step explanation:

aniked [119]3 years ago
6 0

Answer:

Aro can paddle at a speed of  

5

⇒ 1.56 miles per hour.

 

The river’s speed is  

2.5

⇒ 0.52 miles per hour.

Step-by-step explanation:

i got it wrong so here it is

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zhenek [66]
P(x) = √x


for x = 0 → √0 = 0 and p(0) = 0
for x = 1.44 → √1.44 =1.2  and p(1.44) = 1.2
for x = 2.25 → √2.25 = 1.5 and p(2.25) = 1.5
for x = 3.24 → √3.24 = 1.8 and p(3.24) = 1.8
for x = 4.41 → √4.41=  2.1 and p(4.41) = 2.1
for x = 5.29 → √5.29 = 2.3 and p(5.29) = 2.3

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3 years ago
An angle measures 70° less than the measure of its complementary angle. What is the measure of each angle?
Elina [12.6K]

Answer:

Larger angle: 80 degrees

Smaller angle: 10 degrees

Step-by-step explanation:

complementary angles = two angles that add up to 90 degrees

x = larger angle

x + x - 70 = 90             Add like terms

   2x - 70 = 90                Add 70 on both sides

           2x = 160               Isolate the variable by dividing 2 on both sides

               x = 80

x = larger angle , 80 degrees

x - 70 = smaller angle , 10 degree

<h3><u><em>Hope this helps!!! </em></u></h3><h3><u><em>Please Mark As brainliest!!!</em></u></h3><h3><u><em>Thank You !!!</em></u></h3><h3><u><em>: )</em></u></h3>

<u><em></em></u>

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3 years ago
If you deposit $13,000 at 4.85% simple interest, what would your ending balance be after five years
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Answer:

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Step-by-step explanation:

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3 years ago
In a​ study, researchers wanted to measure the effect of alcohol on the hippocampal​ region, the portion of the brain responsibl
ziro4ka [17]

Answer:

The hippocampus volumes in the alcoholic adolescents are less than the normal volume of 9.02 cm³

Step-by-step explanation:

Let x= the hippocampus volumes in the alcoholic adolescents

We'll conduct a hypothesis test at the 0.01 significance level with

Null hypothesis: x = 9.02 cm³

Alternate hypothesis: x < 9.02 cm³

A sample of 13 alcoholic adolescents gives the parameters

size=N= 13

mean=M= 8.12 cm³

standard deviation= s= 0.8 cm³

According to the sample, with 99% confidence, t statistic for the value X=9.02 can be found using the formula:

t=\frac{X-M}{\frac{s}{\sqrt{N} } } where

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If we put these numbers in the formula:

t=\frac{9.02-8.12}{\frac{0.8}{\sqrt{13} } } =4.056

One tailed critical value for the sample with 12 degrees of freedom (sample size-1) in 99% confidence level is 2.681.

Since t value (4.056) is bigger than the critical value, we fail to reject the alternate hypothesis, therefore reject the null hypothesis and accept alternate hypothesis.

5 0
2 years ago
Add or Subtract to Simplify:<br> (x5 + x3) - (6x - x3 + 6x5)
ziro4ka [17]

Answer:

\boxed{ \bold{   \boxed{ \sf{ - 5 {x}^{5}  + 2 {x}^{3}  - 6x}}}}

Step-by-step explanation:

\sf{( {x}^{5}  +  {x}^{3} ) - (6x -  {x}^{3}  + 6 {x}^{5}) }

When there is a ( - ) in front of an expression in parentheses , change the sign of each term.

Also, remove the parentheses

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Collect like terms

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⇒\sf{ - 5 {x}^{5}  + 2 {x}^{3}  - 6x}

Hope I helped!

Best regards!!

3 0
2 years ago
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