Answer:
Step-by-step explanation:
we know that
The volume of a cylinder (sculpture) is equal to
In this problem we have
----> the radius is half the diameter
substitute the values
The algebraic expression of the situation above is 4x - 100 = 400
<h3>How to form an algebraic expression?</h3>
Let
the amount of ice cream they serve in July = x + 100
the amount of ice cream they serve in June = x
They served twice as many customers in august as they did in June.
Therefore,
the amount of ice cream they serve in August = 2(x)
the amount of ice cream they serve in August = 2x
Therefore,
2x + x + x + 100 = 400
4x - 100 = 400
4x = 500
x = 500 / 4
x = 125
learn more on algebraic expression here:brainly.com/question/13223163
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Answer:The last one
Explanation:
A function has to return a unique value when given an argument. In the last set
} ( – 2 , 1 ) , ( 3 , – 4 ) , ( – 2 , – 6 )}
, the argument -2 is supposed to return both 1 and -6 : this is not possible for a function.
Step-by-step explanation:
the yearly increase of x% assumes is compounding yearly, so let's use that.
![95000=80000\left(1+\frac{~~ \frac{r}{100}~~}{1}\right)^{1\cdot 5}\implies \cfrac{95000}{80000}=\left( 1+\cfrac{r}{100} \right)^5 \\\\\\ \cfrac{19}{16}=\left( 1+\cfrac{r}{100} \right)^5\implies \sqrt[5]{\cfrac{19}{16}}=1+\cfrac{r}{100}\implies \sqrt[5]{\cfrac{19}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[5]{\cfrac{19}{16}}=100+r\implies 100\sqrt[5]{\cfrac{19}{16}}-100=r\implies 3.5\approx r](https://tex.z-dn.net/?f=95000%3D80000%5Cleft%281%2B%5Cfrac%7B~~%20%5Cfrac%7Br%7D%7B100%7D~~%7D%7B1%7D%5Cright%29%5E%7B1%5Ccdot%205%7D%5Cimplies%20%5Ccfrac%7B95000%7D%7B80000%7D%3D%5Cleft%28%201%2B%5Ccfrac%7Br%7D%7B100%7D%20%5Cright%29%5E5%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B19%7D%7B16%7D%3D%5Cleft%28%201%2B%5Ccfrac%7Br%7D%7B100%7D%20%5Cright%29%5E5%5Cimplies%20%5Csqrt%5B5%5D%7B%5Ccfrac%7B19%7D%7B16%7D%7D%3D1%2B%5Ccfrac%7Br%7D%7B100%7D%5Cimplies%20%5Csqrt%5B5%5D%7B%5Ccfrac%7B19%7D%7B16%7D%7D%3D%5Ccfrac%7B100%2Br%7D%7B100%7D%20%5C%5C%5C%5C%5C%5C%20100%5Csqrt%5B5%5D%7B%5Ccfrac%7B19%7D%7B16%7D%7D%3D100%2Br%5Cimplies%20100%5Csqrt%5B5%5D%7B%5Ccfrac%7B19%7D%7B16%7D%7D-100%3Dr%5Cimplies%203.5%5Capprox%20r)
First, find the distance AB by the formula:
If A(0,-7) and B(8,8), then
Dilating polygon ABCD by a scale factor of 2 with the center of dilation at the origin to create polygon A′B′C′D′, you increase the distance AB twice, A'B'=2AB. Thus, A'B'=2·17=34 units.
Answer: AB=17 units, A'B'=34 units.
