Answer:the number of black tiles that Todd used is 27
Step-by-step explanation:
Let x represent the number of black tiles that Todd used.
Todd has 21 white tiles and some black tiles to make a mosaic. Each tile has an area of 3 square. It means that the total area of the white tiles is 21 × 3 = 63 cm^2
The total area of the white tiles is x × 3 = 3x cm^2
The mosaic has a total area of 144 Square centimeters. It means that
3x + 63 = 144
3x = 144 - 63 = 81
x = 81/3 = 27
<em>Answer:</em>
<em>n = 1067</em>
<em>Step-by-step explanation:</em>
<em />
<em>Since nothing is known, we would assume that 50% of the computers use the new operating system.
</em>
<em>So, standard error = 0.5/SQRT(n)
</em>
<em>Z-value for a 95% CI = 1.9596
</em>
<em>So, margin of error = 1.9596 x 0.5 / SQRT(n) = 0.03
</em>
<em>So, n = 1067 (approx.)</em>
<em />
<em>This will be your approximate answer : n = 1067</em>
The domain of g(x)= 3x^2 is Real number and it's range is {y∈R / y≥0}
The domain of h(x)= -3x^2 is Real number and it's range is {y∈R / y ≤0}
The domain of a function f(x) is the set of all values for which the function is defined, and the domain of a function is the set of all values that f takes on. The domain and range are defined for a relation and are the sets of all x-coordinates and all y-coordinates of ordered pairs.
The graph of f(x)= x^2 is given
We need to find the domain and range of g(x)=3x^2 and h(x)= -3x^2
The Graph of 3x^2 is different from x^2 in terms of plotting
When ,
x= -2 g(x)=12
x=-1 g(x)=3
x=0 g(x)=0
x=1 g(x)=3
x=2 g(x)=12
The Graph of -3x^2 is different from x^2 in terms of plotting
When ,
x= -2 g(x)=-12
x=-1 g(x)= -3
x=0 g(x)=0
x=1 g(x)= -3
x=2 g(x)=-12
Domain of g(x) is R and it's range is {y∈R / y≥0}
Domain of h(x) is R and it's range is {y∈R / y ≤0}
<u>Learn more about </u><u>domain and range</u><u> here:</u>
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Answer:
1- 10% of -80 is -8.
2- 28 is 4% of 700.
3- 25% of a number is equal to 1/4 or 0.25 of it.
4- 13% of a number is equal to 0.13 of it.
5- 15 is 12.5% of 120.
Step-by-step explanation:
1. 10% of ________- 8
2.28 is 4% of _________
3.25% of ________
4.13% of______
5.15 is 12.5% of _____
To determine the missing numbers in the statements, the following calculations must be performed:
1-
10 = -8
100 = X
100 x -8 / 10 = X
-800 / 10 = X
-80 = X
Therefore, 10% of -80 is -8.
two-
4 = 28
100 = X
100 x 28/4 = X
2800/4 = X
700 = X
Therefore, 28 is 4% of 700.
3-
25% of a number is equal to 1/4 or 0.25 of it.
4-
13% of a number is equal to 0.13 of it.
5-
12.5 = 15
100 = X
100 x 15 / 12.5 = X
1500 / 12.5 = X
120 = X
Therefore, 15 is 12.5% of 120.
On the map, a distance of 20 miles are represented by 1 inch .
So distance of 1 mile is represented by

And therefore, distance of 135 miles are represented by
