Penguin can swim 68 miles in four hours.
A rate is defined as the ratio which is used to compare two different types of quantities that have different units.
Unit rate defines the ratio of the amount of one quantity with respect to the single unit of the other quantity. Or in other words, the denominator of unit rate will be always 1.
Here we have the unit rate as 17 miles per hour.
Here unit rate is defined in terms of distance covered per time which is actually the speed of penguin.
We have to the distance covered by the penguin in 4 hours.
Rate = Distance / Time
⇒ Distance = Rate × Time
= 17 × 4
= 68 miles
Hence, penguin can swim 68 miles in 4 hours if the rate of swimming is 17 miles per hour.
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Answer:
Step-by-step explanation:
5i ⋅i⋅(−2i)= −
10 ⋅ i2 ⋅ i= − 10 ⋅ (−1) ⋅ i = 10i
Answer:
3
Step-by-step explanation:
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from the table, the ratio of white socks to brown socks is 9.4 select two ratios equilavent to the ratio of white socks to brown socks
Answer:
Step-by-step explanation:
You get the slope right away, just by reading it.
y = 1/4 x + b
To solve for b, you use the point 4,5
5 = 1/4 * 4 + b Substitute 4 for x
5 = 1 + b Subtract 1 from both sides
5-1 = 1-1 + b
b = 4
The line is y = 1/4 x + 4
Answer:
10353
Step-by-step explanation:
The given series is in arithmetic progression since the common difference is same which is 8.
To find the sum of series we can simply apply the formula'
S= n/2( first term + last term)
S is the sum and n is the number of terms
we also need to find the number of terms n
n = (last term- first term)/2 + 1
n= 51
s= 10353
Answer:
Mr. Johnson borrowed the money at an interest rate of 4.25%.
Step-by-step explanation:
We can use the formula for simple interest to solve this problem:
Simple Interest = Principal x Rate x Time
Where:
Principal is the amount borrowed.
Rate is the interest rate (as a decimal).
Time is the length of time the money is borrowed for.
We know that Mr. Johnson borrowed $8000 for 4 years and repaid a total of $10,320. We can use this information to set up an equation:
10,320 = 8000 + 8000 x Rate x 4
Simplifying this equation:
10,320 = 8000 + 32000 x Rate
Dividing both sides by 32000:
Rate = (10,320 - 8000) / (8000 x 4) = 0.0425 or 4.25%
Therefore, Mr. Johnson borrowed the money at an interest rate of 4.25%.
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What is f(x)*g(y)?
The product of two functions f(x)*g(y), when f(x) = tan(x)-2/x and g(x) = x^2+8 is,
When the two or more than two functions are multiplies together. Then the resultant function is called the product of these functions.
Let suppose there is a function f(x) and another function g(x). Then the product of function can be written as,
Let suppose, a function f(x) is
Let another function g(x) is,
Then g(y), will be,
The product of this two function is,
Thus, the product of two functions f(x)*g(y), when f(x) = tan(x)-2/x and g(x) = x^2+8 is,
Learn more about the composite function here;
Answer:
Step-by-step explanation:
(x)*g(y)
=(tanx-2/x)*(y²+8)
=y²tanx+8tanx-2y²/x-16/x