1. For multiplication and division), we first compare the number of significant figure (let's call it SF later in the problem) that the factors have. The product will have the least numbers between them. So, for the case of 11.55 x 2.5, 11.55 has 4 SF while 2.5 has 2. So we choose the smallest which is 2 for this case. Hence, the answer is B.
2. Using the same rules as mentioned in Item 1, we first compare the number of SF in the numbers give. 975.0321 has 7 SF while 0.0003 has 1 (all zeroes not following a counting number are not significant). We now solve for the quotient and round it off to 1 SF.
(975.0321/0.0003) = 3250107. Rounding it off, we have 3000000 or 3 x 10⁶. Thus, the answer is D.
3. The rules for multiplication still apply even for more than two factors. So, let's first take note of the SF present in each factor as shown below.
0.00147 = 3 SF
8.314 = 4 SF
7.100 = 4 SF (zeroes after a counting number in the decimal place are considered significant)
From this, we can see that the product must round off to 3 SF. Multiplying the three numbers, we have
0.00147 x 8.314 x 7.100 = 0.086773218
So, the product rounded off to 3 SF is 0.0868 or 8.68 x 10⁻². So, the answer must be C<span>.
</span>
Answer:
212.9 years
Step-by-step explanation:
Given that the half-life of cesium-137 is 30 years. Suppose we have a 170 mg sample
P0 = 175
P(30) = 87.5
So we can write equation as
b) After 60 years t = 30
In 30 years it becomes half and hence in 60 years it would become 1/4
i.e. 
mg
c) If P(t) =1, let us find t
212.9
if you pick G you don't have to pick D so I didn't I picked B so that I could pick E and they didn't say any rules about F so I picked G,B,E,F
Answer: H0: p1 ≤ p2, Ha: p1 > p2
Step-by-step explanation:
According to the information obtained, we can say that the hypothesis that determines that the percentages of support votes are different between the two incumbent candidates is as follows
H0: p1 ≤ p2, Ha: p1> p2
where the null hypothesis represents the difference between proportions
The factorization of the expression of 43x³ + 216y³ is
(7x + 6y)(49x² - 42xy + 36y²)
Step-by-step explanation:
The sum of two cubes has two factors:
1. The first factor is ![\sqrt[3]{1st}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1st%7D)
+ ![\sqrt[3]{2nd}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B2nd%7D)
2. The second factor is ( )² - ( ) ( ) + ( )²
Ex: The expression a³ + b³ is the sum of 2 cubes
The factorization of a³ + b³ is (a + b)(a² - ab + b²)
∵ The expression is 343x³ + 216y³
∵ ![\sqrt[3]{343x^{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B343x%5E%7B3%7D%7D)
= 7x
∵ ![\sqrt[3]{216y^{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216y%5E%7B3%7D%7D)
= 6y
∴ The first factor is (7x + 6y)
∵ (7x)² = 49x²
∵ (7x)(6y) = 42xy
∵ (6y)² = 36y²
∴ The second factor is (49x² - 42xy + 36y²)
∴ The factorization of 43x³ + 216y³ is (7x + 6y)(49x² - 42xy + 36y²)
The factorization of the expression of 43x³ + 216y³ is
(7x + 6y)(49x² - 42xy + 36y²)
Learn more:
You can learn more about factors in brainly.com/question/10771256
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