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Veronika [31]
4 years ago
5

271+425 use rounding or compatible numbers to estimate the sum

Mathematics
1 answer:
Irina-Kira [14]4 years ago
6 0
271 rounded is 300, and 425 rounded is 400, so you could estimate the sum by adding 300 and 400, which equals 700.
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Solve 4^x+2=12 for x using the change of base formula logby=logy/logb
yulyashka [42]

Answer:

x = \frac{1}{log(4)}

Step-by-step explanation:

Here, the given expression is :

4^x+2=12

Now, simplifying the given expression ,we get:

4^x+2=12  \implies  4^x=12 - 2 = 10\\\implies 4^x = 10

Now, using the logarithmic property:

log(b -y)=\frac{log (b)}{log(y)}

log(a^m)  = m log(a)

Now, in the expression 4^x = 10take log on the Both sides, we get:

4^x = 10  \implies  log(  4^x ) = log(10)\\\implies x log(4) = 1

or, x = \frac{1}{log(4)}

8 0
3 years ago
Tell whether the statement is true or false.
kherson [118]
False I think

More than three lines of symmetry
5 0
4 years ago
Read 2 more answers
Carol is single and has an adjusted gross income of $32,785. She claims one exemption of $8200. What is her tax due?
LenKa [72]

Answer

A = 3321

Step-by-step explanation:

The reason for this answer is to get the Taxable income, you go by this equation AGI - (Exemptions + Deductions) since there is no deductions here we leave that part out. Subtract the AGI (32785) - 8200 the Exemption and you get 24585 then if we look on the chart, she is single and she falls under the answer of 3321!

Hope this helps, sorry I am a little late. I just got this answer too. :)

8 0
4 years ago
Four pounds of apples cost 3.88. what is the price per pound
Novay_Z [31]

Answer:

0.97 cents

Step-by-step explanation:

4/3.88=0.97

price per pound=0.97 cents

BRAINLIEST APPRECIATED!

HOPE YOU ARE HAVING A GOOD DAY!

3 0
4 years ago
Your engineering firm is asked to specify the maximum load for the elevators in a new building: Each elevator has mass 490 kg wh
steposvetlana [31]

Answer:

a) m =589.734kg

b) n = 8 people (rounded down)

Step-by-step explanation:

The first step is to calculate the maximum load after safety considerations (T_{max}

Since we know that the maximum tension the cables can withstand is 19500N (or 19.5kN). To calculate (T_{max} we multiply this value by \frac{2}{3} (as per the given safety consideration.

Hence

T_{max} = \frac{2}{3} (19500) \\ T_{max} = 13000N

a) Now to find the maximum load in kgs, we use the following formula

(m_{0} + m)(g + a) = T_{max}

Where

m_{0} = mass of elevator

m = maximum load

g = acceleration due to gravity

a = maximum acceleration of elevator

Inputting the values and solving

m_{0} + m)(g + a) = T_{max}\\ (490 + m)(9.8 + 2.24) = 13000\\ 12.04m = 7100.4\\ m = 589.734kg

Hence the maximum load is m =589.734kg

b) To find the number of people (n) we divide the value of m by 70kg

n = 589.734 / 70

n = 8.42 or 8 people

7 0
3 years ago
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