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chubhunter [2.5K]
3 years ago
10

How do you figure out proofs​

Mathematics
1 answer:
Monica [59]3 years ago
6 0

Answer:

By giving reasons to the statements

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There are currently 12 frogs in a large) pond. The frog population grows exponentially, tripling every 8 days.
maksim [4K]

Answer:

24 days till 240 frogs in the pond

40 days till 1800

Step-by-step explanation:

4 0
3 years ago
Find the area of the trapezoid.
Aliun [14]
The area equation is A=\frac{a+b}{2} *h

the trapezoid is actually on its side
so a=10.2
b=12.2
h=12.6

A=\frac{10.2+12.2}{2} *12.6\\
=\frac{22.4}{2} *12.6\\
=11.2*12.6\\
=141.12\\
3 0
3 years ago
Find the equation of the line which passes through the point (7,2) and is perpendicular to y=5x-2
MariettaO [177]

Answer:

\displaystyle y=-\frac{1}{5}x+\frac{17}{5}

Step-by-step explanation:

<u>Equation of a line</u>

A line can be represented by an equation of the form

y=mx+b

Where x is the independent variable, m is the slope of the line, b is the y-intercept and y is the dependent variable.

We need to find the equation of the line passing through the point (7,2) and is perpendicular to the line y=5x-2.

Two lines with slopes m1 and m2 are perpendicular if:

m_1.m_2=-1

The given line has a slope m1=5, thus the slope of our required line is:

\displaystyle m_2=-\frac{1}{m_1}=-\frac{1}{5}

The equation of the line now can be expressed as:

\displaystyle y=-\frac{1}{5}x+b

We need to find the value of b, which can be done by using the point (7,2):

\displaystyle 2=-\frac{1}{5}*7+b

Operating:

\displaystyle 2=-\frac{7}{5}+b

Multiplying by 5:

10=-7+5b

Operating:

10+7=5b

Solving for b:

\displaystyle b=\frac{17}{5}

The equation of the line is:

\boxed{\displaystyle y=-\frac{1}{5}x+\frac{17}{5}}

7 0
3 years ago
Zack wants a new skateboard that costs $98. He has a coupon for 20% off the original price. The sales tax is 6%, what is the fin
svet-max [94.6K]

The final cost of skateboard will be $83.10

Step-by-step explanation:

Given,

Cost of skateboard = $98

Coupon = 20% off

Amount of discount = 20% of cost of skateboard

Amount\ of\ discount=\frac{20}{100}*98\\\\Amount\ of\ discount=\frac{1960}{100}\\\\Amount\ of\ discount=\$19.6

Cost of skateboard after discount = Cost of skateboard - Amount of discount

Cost of skateboard after discount = 98 - 19.6 = $78.4

Sales tax = 6%

Sales tax amount = 6% of discounted price

Sales\ tax\ amount=\frac{6}{100}*78.4\\\\Sales\ tax\ amount=\frac{470.4}{100}\\\\Sales\ tax\ amount=\$4.70

Final cost of skateboard = Discounted price + Sales tax

Final cost of skateboard = 78.40+4.70 = $83.10

The final cost of skateboard will be $83.10

Keywords: sales tax, addition

Learn more about addition at:

  • brainly.com/question/9533500
  • brainly.com/question/9527632

#LearnwithBrainly

7 0
3 years ago
A study of one thousand teens found that the number of hours they spend on social networking sites each week is normally distrib
Svetradugi [14.3K]

Given:

Sample Mean <span>= 30<span>
Sample size </span><span><span><span>= 1000</span></span><span>
</span></span></span>Population Standard deviation or <span><span><span>σ<span>=2</span></span><span>
</span></span>Confidence interval </span><span>= 95%</span>

to compute for the confidence interval

Population Mean or <span>μ<span><span>= sample mean ± (</span>z×<span>SE</span>)</span></span>

<span><span>where:</span></span>

<span><span>SE</span>→</span> Standard Error

<span><span>SE</span>=<span>σ<span>√n</span>= 30</span></span>√1000=0.9486

Critical Value of z for 95% confidence interval <span>=1.96</span>

<span>μ<span>=30±<span>(1.96×0.9486)</span></span><span>
</span></span><span>μ<span>=30±1.8594</span></span>

Upper Limit

<span>μ <span>= 30 + 1.8594 = 31.8594</span></span>

Lower Limit

<span>μ <span>= 30 − 1.8594 = <span>28.1406</span></span></span>

<span><span><span>
</span></span></span>

<span><span><span>answer: 28.1406<u<31.8594</span></span></span>

3 0
3 years ago
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