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yawa3891 [41]
3 years ago
12

The graph y=ln(x) is translated 7 units to the left and 4 units upward. The transformed equation is ____.

Mathematics
1 answer:
Ede4ka [16]3 years ago
5 0
When x is replaced by x - h, the graph shifts h units to the right if h is positive and h units to the left if h is negative.
When y is replaced by y - k, the graph shifts k units up if k is positive, and k units down is k is negative.
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The number forty one to the power of negative start fraction two over five end fraction end power can be written in the form sta
Fantom [35]
From the description we can infer that we have the expression: 41^{- \frac{2}{5} }.
Now, to write our expression as a as a root, we are going to apply the law of exponents: x^{-n}= \frac{1}{x^n} first
41^{- \frac{2}{5} }= \frac{1}{41^{ \frac{2}{5} }}

Next, we are going to apply the law about fractional exponents: x^{ \frac{m}{n}}= \sqrt[n]{x^m}
\frac{1}{41^{ \frac{2}{5} }}= \frac{1}{ \sqrt[5]{41^2} }

We can conclude that the value of B is 2.

3 0
3 years ago
How many square feet of outdoor carpet will we need for this hole?
svlad2 [7]

Answer:

9.

Step-by-step explanation:

You would have to find the area of the triangle which is 1/2(bh) which would give you 9. So you would 9 feet of outdoor carpet. Which is actually already given to you as the area inside the triangle.

8 0
3 years ago
Read 2 more answers
Which point on the number line indicates a number that is less than 9.1 and greater than 6.5
Dahasolnce [82]

Answer:


Step-by-step explanation:


8 0
2 years ago
Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to f
BabaBlast [244]

Answer:

153 times

Step-by-step explanation:

We have to flip the coin in order to obtain a 95.8% confidence interval of width of at most .14

Width = 0.14

ME = \frac{width}{2}

ME = \frac{0.14}{2}

ME = 0.07

ME\geq z \times \sqrt{\frac{\widecap{p}(1-\widecap{p})}{n}}

use p = 0.5

z at 95.8% is 1.727(using calculator)

0.07 \geq 1.727 \times \sqrt{\frac{0.5(1-0.5)}{n}}

\frac{0.07}{1.727}\geq sqrt{\frac{0.5(1-0.5)}{n}}

(\frac{0.07}{1.727})^2 \geq \frac{0.5(1-0.5)}{n}

n \geq \frac{0.5(1-0.5)}{(\frac{0.07}{1.727})^2}

n \geq 152.169

So, Option B is true

Hence  we have to flip 153 times the coin in order to obtain a 95.8% confidence interval of width of at most .14 for the probability of flipping a head

6 0
2 years ago
Gary's car travel 30 miles on 1 1/5 gallon of gas. Gary wants to travel 90 miles. How many gallons of gas will his car use?
3241004551 [841]
Gary car will use 18 miles/gallons
7 0
3 years ago
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