Toshi and owen need to add 4.9 x 10^9 and 4.1 x 10^7. toshi says they must use the expression (490 x 10^7 ) (4.1 x 10^7), but owen says they must use the expression (4.9 x 10^9) (0.041 x 10^9). are neither, one, or both students correct? explain
Answers
Final answer:
When adding numbers in scientific notation, the exponents must be the same. Owen is correct and Toshi is incorrect.
Explanation:
Explanation:
When adding numbers in scientific notation, the exponents must be the same.
Toshi suggests using the expression (490 × 10⁷) + (4.1 × 10⁷), but this is incorrect because the exponents do not match.
Owen suggests using the expression (4.9 × 10⁹) + (0.041 × 10⁹), and this is correct because the exponents are the same.
So, Owen is correct and Toshi is incorrect.
Learn more about scientific notation here:
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Answers
Hello,
Please, see the attached graph.
Thanks.
Answer: :)
Step by Step: :)
a, f(0)
b. f(6)
Show all of your work
Answers
Answer:
a). f(0) = 4
b). f(6) = 8
Step-by-step explanation:
a). When x < 5, piecewise function to be considered,
f(x) = x + 4
Since, x = 0 is less than x = 5
f(0) = 0 + 4
f(0) = 4
b). When 5 ≤ x < 7,
Piecewise function to be considered,
f(x) = 8
Therefore, for x = 6,
f(6) = 8
Answers
We have been given that in a circle an arc length 10 is intercepted by a central angle of 2/3. We are supposed to find the radius of the circle.
We will use arc-length formula to solve our given problem.
, where,
= Arc length,
= Radius,
= Central angle corresponding to arc length.
Upon substituting our given values in arc-length formula, we will get:
Therefore, the radius of the given circle would be 15 units.
Answers
Answer:
Step-by-step explanation:
The sample size n ( total pairs )=36
Pairs having the even sum less than 10 area
(1,3), (3,1), (1,5), (5,1),(3,5),(5,3),
(2,4), (4,2), (2,6),(6,2),
(1,1),(3,3),(2,2),(4,4)
The number of ways to get a sum that is an even number less than 10= 14
The chances of getting a second turn when he rolls the number cubes=
Hence, The chances of getting a second turn when he rolls the number cubes=
First of all, we know that each cube can land in 6 different ways,
so two cubes can land in (6x 6) = 36 different ways.
Now let's check your count. How many ways can you roll a 2, 4, 6, or 8 ?
Cube-A Cube-B
1 1 2
1 3 4
3 1 4
2 2 4
1 5 6
5 1 6
2 4 6
4 2 6
3 3 6
2 6 8
6 2 8
3 5 8
5 3 8
4 4 8
I get 14 ways.
So the probability of success is
(number of successful ways) / (total possible ways) =
(14) / (36) = 7/18 .
Answers
A. ΔZXY≈ΔCAB
B. ΔZXY≈ΔACB
C. ΔZXY≈ΔCBA
D. ΔZXY≈ΔABC
Answers
Answer:
A. ΔZXY≈ΔCAB
Step-by-step explanation:
In the smaller triangle, YZ is the smallest side. In the larger triangle, BC is the smallest side. This means that YZ corresponds to BC.
In the smaller triangle, YX is the "medium sized" side. In the larger triangle, BA is the "medium sized" side. This means that YX corresponds to BA.
In the smaller triangle, ZX is the longest side. In the larger triangle, CA is the longest side. This means that ZX corresponds to CA.
This gives us that Z corresponds to C, X corresponds to A and Y corresponds to B. This gives us the similarity statement
ZXY~CAB
the scale factor is equal to 2
so
CB≈ZY
BA≈YX
CA≈ZX
therefore
Δ ZXY≈ΔCAB
the answer is the option
A. ΔZXY≈ΔCAB