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devlian [24]
3 years ago
11

What is the missing exponent (10^6)^_=10^-18

Mathematics
1 answer:
MaRussiya [10]3 years ago
3 0
Hello, 

You have to know this property:

(x^{a})^b=x^{a*b}\\\\We have:\\\\(10^6)^x=10^{-18}\\\\So:\\ \\ 6*x=-18 \\ x= \frac{-18}{6} \\ \boxed{x=-3}
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Need help solving a math problem 4 1/2 - 5
777dan777 [17]
Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:
−1/2

Decimal Form:
−0.5
7 0
3 years ago
If today is Saturday, what day will it be 70 days from now?
Lerok [7]

Answer:

If today is Saturday, then after 70 days, we will be on a Saturday again.

Step-by-step explanation:

Basically, 70 days = 10 weeks

Which means: 1 week = 7 days

We also know that if we are on a Saturday, then after a week, we will be on a Saturday again. Therefore, if we are on a Saturday, after 10 weeks or 70 days, we will be on a Saturday again.

Hoped this helped.

8 0
3 years ago
Please help I don’t understand number 16
Allisa [31]

Let's go step by step:

a) You are given four couples of x and y values which model the relationship between the number of drinks and their cost. So, the couple (x,y)=(0,0) means that if you buy zero drinks, you spend no money. That makes sense. The next information we have is (x,y) = (2,3), which means that two drinks cost 3 dollars, and so on.

So, you simply need to draw on the grid the four points

(0,0),\ (2,3),\ (4,6),\ (6,9)

b) The domain is the set of inputs. Since we only know the value of the function on four different points (we know the price for 0,2,4 and 6 drinks), the domain is discrete. In fact, a continuous domain must contain an interval (for example, [1,2] is a continuous domain), whereas if you pick a certain number of points (like in this case: we picked 0,2,4 and 6), the domain is discrete.

c) Once the points are drawn on the grid, you can see that they all lie on the same line. To find that line, we will only need two of those points (once two points are fixed, there is only one line passing through them). In general, the equation of the line passing through P = (P_x,P_y) and Q = (Q_x,Q_y) is

\cfrac{x-P_x}{Q_x-P_x} = \cfrac{y-P_y}{Q_y-P_y}

Let's choose, for example, the first two points. The equation is

\cfrac{x-0}{2-0} = \cfrac{y-0}{3-0} \iff \cfrac{x}{2} = \cfrac{y}{3} \iff y=\cfrac{3}{2}x

d) Now that we know the equation of the line, we can compute the cost of any number of drinks: the equation of the line is a function that associates a cost, y, with every possible number of drinks, x.

Of course, some associations will be odd - we can compute the cost of \sqrt{2} drink, but what would it mean?

Anyway, the question about the cost of two drinks seems more than reasonable, so let's see which y value is associate with the particular x value of 2:

y = \cfrac{3}{2} x \implies y = \cfrac{3}{2}\cdot 2 = 3

So, two drinks cost 3 dollars.

3 0
4 years ago
Can any one tell me how to solve this ?? I) (-121) + ______ = 11 II). (-81) ÷ 27 = ______
Vladimir [108]

Answer:

is this the answer

Step-by-step explanation:

I (-121)+...=11

=(-121)+132

=11

II -81/27

=-3

7 0
2 years ago
What is the radical form of each of the given expressions?
earnstyle [38]

Answer:

6^{\frac{1}{5} }=\sqrt[5]{6}

6^{\frac{7}{5} }=\sqrt[5]{6^7}

6^{\frac{1}{6} }=\sqrt[6]{6}

7^{\frac{1}{2} }=\sqrt[2]{7}

7^{\frac{5}{2} }=\sqrt[2]{7^5}

6^{\frac{9}{2} }=\sqrt[2]{6^9}

Step-by-step explanation:

A radical is the root operation for n roots such as square root or cuberoot in the form \sqrt[n]{x}. A fraction exponent x^{m/n} can be converted to the radical form.

6^{\frac{1}{5} }=\sqrt[5]{6}

6^{\frac{7}{5} }=\sqrt[5]{6^7}

6^{\frac{1}{6} }=\sqrt[6]{6}

7^{\frac{1}{2} }=\sqrt[2]{7}

7^{\frac{5}{2} }=\sqrt[2]{7^5}

6^{\frac{9}{2} }=\sqrt[2]{6^9}

7 0
3 years ago
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