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2 years ago

2×(4×2-10)³ How do you simplify powers in this?

Mathematics

2 answers:

Ksivusya [100]2 years ago

5 0

Answer:

Step-by-step explanation:

first work what's in the brackets { 4 x 2 -10}^3

{4 x 2-1000}

4 x -998

Inessa05 [86]2 years ago

5 0

Answer = -16

Explication:

FYI: Use P.E.M.D.A.S
(Parentheses, exponent, multiply or divide, add or subtract)

2(4x2-10)^3
4x2=8
(8 - 10)
2(8-10)^3
8-10=-2
(-2)
2(-2)^3
-2^3=-8
2 (-8)
-16

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54% of 76.8 = ___ estimate

LekaFEV [45]

The answer is: 41.256 (You round it to the number that you're required to round it)

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3 years ago

Ming works as a quality assurance analyst at a bottling factory. She wants to use a one-sample z interval to estimate what propo

Nastasia [14]

Answer:

Sample size is $n=423$

Step-by-step explanation:

Given that,

Margin of error $=4$ %

Confidence level $=90$ %

Suppose, sample proportion $=0.5$

i.e. $\hat{P}=0.5$

We know that,

Margin of error $=2^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }$

∴ $1.64\sqrt{\frac{0.5(0.5)}{n} } \leq 4\%$

$\Rightarrow 1.64\sqrt{\frac{0.25}{n} } \leq 0.04$

$\Rightarrow \frac{0.5}{\sqrt{n} } \leq \frac{0.04}{1.64}$

$\Rightarrow \frac{0.5}{\sqrt{n} } \leq 0.0243$

$\Rightarrow \sqrt{n}\geq \frac{0.5}{0.0243}$

$\Rightarrow \sqrt{n}\geq 20.57$

squaring on both side,

∴ $n=423.1249$

Hence, the sample size is,

$n=423$

Hence, the correct option is $(b).$

7 0

3 years ago

Can someone pls help with this? i’ll give brainliest :)

raketka [301]

Answer:

D (I think)

Step-by-step explanation:

I used a right triangle calculator and that was the answer

Below is the process the calculator did, hope it helps.

$c = \sqrt{a^{2} +b^{2}$

$\sqrt{12^{2} + 9^{2} } = 15$

6 0

2 years ago

Based on the pattern, what are the next two terms of the sequence?<br> 7, 7/4 , 7/16 , 7/64, 7/256

IrinaVladis [17]

Answer:

7/1024 and 7/4096

Step-by-step explanation:

4×4=16

4×16=64

4×64=256

4×256=1024

4×1024=4096

hope this helps!

5 0

3 years ago

Question 10: If the product of all the numbers from 1 to 100 is divisible by 2^n, then what is the maximum possible value for n:

Klio2033 [76]

Answer: D

Step-by-step explanation:

100!=2*3*4*...*100

Counting which numbers are divisible by 2:

2,4,6,8,10,12,14,...,96,98,100 : 50 numbers (100/2=50)

Counting which numbers are divisible by 4=2²:

4,8,12,16,20,...96,100: 25 numbers (100/4=25)

Counting which numbers are divisible by 8=2³:

8,16,24,32,40,...,96: 12 numbers (100/8=12.5 ==> 12)

Counting which numbers are divisible by 16=2⁴:

16,32,48,...,96: 6 numbers (100/16=6.25 ==> 6)

Counting which numbers are divisible by 32=2⁵:

32,64,96 : 3 numbers(100/32=3.125 ==>3)

Counting which numbers are divisible by 64=2⁶:

64 : 1 number (100/64=1.5625 ==>1)

Sum of those numbers= 50+25+12+6+3+1=97

100! is divisible by 2⁹⁷.

Answer D

4 0

2 years ago

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2×(4×2-10)³ How do you simplify powers in this? ​

2×(4×2-10)³ How do you simplify powers in this?