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BabaBlast [244]
3 years ago
10

How many 12-inch rulers will be about the same length as a flag

Mathematics
1 answer:
Sladkaya [172]3 years ago
3 0
How long is the flag
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Given logbM=3.2 logbN=-1.5 and logbP=2.4 find the value of logb(m^2N/p)
artcher [175]
The formulas:
\log_a (xy)=\log_a x + \log_a y \\
\log_a (\frac{x}{y})=\log_a x - \log_a y \\
\log_a (x^n)n \log_a x

Expand the expression:
\log_b (\frac{m^2n}{p})=\log_b m^2 + \log_b n - \log_b p= 2 \log_b m+\log_b n - \log_b p

Plug the values into the expression:
\log_b m=3.2 \\ \log_b n=-1.5 \\ \log_b p=2.4 \\ \\
2 \log_b m+\log_b n - \log_b p=2 \times 3.2-1.5-2.4=6.4-3.9=2.5 \\ \\
\boxed{\log_b (\frac{m^2n}{p})=2.5}
3 0
3 years ago
Question 2
notka56 [123]
60° bc 25+35=60, 180-60=20, 180-20=60, 60+60+x=180; x=60
6 0
3 years ago
Read 2 more answers
A weight attached to a spring is at its lowest point, 9 inches below equilibrium, at time t = 0 seconds. when the weight it rele
zhannawk [14.2K]

The equation which models the distance (d) of the weight from its equilibrium after time (t) is equal to d = -9cos(2π/3)t.

<h3>What is the period of a cosine function?</h3>

The period of a cosine function simply means the total length (distance) of the interval of values on the x-axis over which a graph lies and it's repeated.

Since the weight attached is at its lowest point at time (t = 0), therefore, the amplitude of equation will be negative nine (-9)

For the angular velocity at time period (t = 3s), we have:

ω = 2π/T

ω = 2π/3

Mathematically, the standard equation of a cosine function is given by:

y = Acos(ω)t

Substituting the given parameters into the formula, we have;

d = -9cos(2π/3)t.

Read more on cosine function here: brainly.com/question/4599903

6 0
2 years ago
The observation deck of the willis tower in Chicago Illinois is 1353 feet above the ground elevators lift visitors to that level
Paul [167]

Answer: The the speed of elevators is 22.55.

Explanation:

It is given that observation deck of the willis tower in Chicago Illinois is 1353 feet above the ground elevators lift visitors to that level in 60 seconds.

The speed is the change in distance with respect to time.

\text{Average Speed}=\frac{\text{Total Distance}}{\text{Total Time}}

From the given information the total distance is 1353 and the total time is 60 seconds. So by the above formula we get,

\text{Average Speed}=\frac{1353}{60}

\text{Average Speed}=22.55

Therefore, the speed of elevators is 22.55.

8 0
3 years ago
I WILL MARK BRAINLIEST! :3<br> Find the total cost.<br> Purchase price= $2615 Tax rate= 3%
balu736 [363]

Answer:

78.45

Step-by-step explanation:

u know 3 as decimal is 0.03 so u multiply 2,615*0.03 which is 78.45

8 0
3 years ago
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