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kvasek [131]
3 years ago
7

What is the value of log 16?

Mathematics
1 answer:
Crank3 years ago
7 0

Answer:

1.204119982655924780854955578898‬

Step-by-step explanation:

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In a pile of 55 coins made of nickels and dimes totaling $3.90 how many of each coin are there
tigry1 [53]
There are 5 pennies in a nickel, and 10 pennies in a dime.  Now in $3.90 there are 390 pennies.

n = number of nickels in the pile

d = number of dimes in the pile

we know the pile has 55 coins, therefore whatever "n" and "d" are, we know that n + d = 55.

now, "n" is how many nickel coins are there, how many pennies is it in total?  well, 5 pennies to a nickel, for "n" nickels, will then be 5(n) or 5n.

and "d" is how many dime coins are there, so therefore in "d" coins, there are 10(d) pennies, or 10d.

we also know the total amount of pennies is 390, therefore 5n + 10d = 390.

\bf \begin{cases}
n+d=55\implies \boxed{n}=55-d\\
5n+10d=390\\
-------------\\
5\left(\boxed{55-d}  \right)+10d=390
\end{cases}
\\\\\\
275-5d+10d=390\implies 5d=115\implies d=\cfrac{115}{5}\implies d=23

how many nickel coins are there anyway?  well, n = 55 - d.
8 0
3 years ago
A 10-foot ladder touches the side of a building at a point 8 ft above the ground. At what height would a. 7-foot ladder touch th
Oliga [24]

Answer:

5.6 ft

Step-by-step explanation:

sin a = 8/10

sin a = x/7

8/10 = x/7

x = 8/10 * 7 = 28/5 = 5.6 ft

6 0
3 years ago
In 2012, about 24% of high-school seniors reported binge drinking (defined as five or more drinks in a row in the past two weeks
Artist 52 [7]

Answer: (0.24 - 1.96*0.019, 0.24 + 1.96*0.019)

Step-by-step explanation:

We know that the confidence interval population proportion (p) is given by :-

\hat{p}\pm z*\cdot SE

, where \hat{p} = sample proportion.

z* = Critical value (Two -tailed)

SE = standard error

Given : In 2012, about 24% of high-school seniors reported binge drinking (defined as five or more drinks in a row in the past two weeks), a substantial drop since the late 1990s.

\hat{p}=0.24

SE = 0.019

Significance level =\alpha=1-0.95=0.05

Two-tailed value corresponds for \alpha=0.05 :

z*=1.96   [Using z-table]

Now, the 95% confidence interval for the proportion of high-school seniors in the sample who would report binge drinking will be :-

0.24\pm (1.96)\cdot (0.019)=(0.24-1.96\times 0.019,\ 0.24+1.96\times 0.019)

Hence, the correct answer = (0.24 - 1.96*0.019, 0.24 + 1.96*0.019)

8 0
3 years ago
What the equation of the line that passes through the points (-4, 3) and is parallel to y = ½ x - 7?
Helen [10]

Answer:

y=1/2x + 10

Step-by-step explanation:

since the lines are parallel to each other they have the same gradient which is 1/2.

using the equation y-y1= m(x-x1) we can find the equation of the line

7 0
2 years ago
Ms. Thomas buys 3 pounds of sliced ham to make sandwiches. It takes 1 3 lb of ham for each sandwich. How many ham sandwiches can
cupoosta [38]

Answer:

Option C 9\ sandwiches

Step-by-step explanation:

we know that

using proportion

\frac{1}{(1/3)}\frac{sandwich}{pounds}=\frac{x}{3}\frac{sandwiches}{pounds}\\ \\x=3*3\\ \\x=9\ sandwiches

8 0
3 years ago
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