Multiply 125.5 miles by 1.61 to get total kilometers:
125.5 x 1.61 = 202.055 kilometers total.
Divide 150 minutes by 60 to get total hours:
150/ 60 = 2.5 hours.
Now Divide total kilometers by total hours to get kilometers per hour:
202.055 kilometers / 2.5 hours = 80.822 kilometers per hour.
Round the answer as needed.
Answer:
80.822 km/hour
Step-by-step explanation:
A train travels in 150 minutes = 125.5 miles.
First we will convert 125.5 miles to kilometers
1 mile = 1.61 kilometers
125.5 miles = 125.5 × 1.61
= 202.055 kilometers
1 hour = 60 minutes
150 minutes =
= 2.5 hours
Hence the train travels 202.055 kilometers in 2.5 hours.
Therefore, The speed of the train in one hour =
= 80.822 km/hour
The trains speed is 80.822 km/hour.
Answer:
The value of t is 21
Step-by-step explanation:
Given :One third of a number t is equal to 7
To Find : Find the value of t
Solution :
Number = t
One third of a number =
Now we are given that One third of a number t is equal to 7
So,
Hence the number is 21
g(x) is shifted 3 units to the right and 1 unit down.
g(x) is shifted 3 units to the right and reflected over the x-axis.
g(x) is shifted 3 units to the left and reflected over the x-axis.
The difference between the functions f(x) and g(x) is the addition of a
constant to the value of x and changing the sign of the output.
The graph of g(x) compared to f(x) is g(x) is shifted 3 units to the left and
reflected over the x-axis.
Reason:
The addition of a positive constant term to the input variable of a function,
shifts the graph to the left of the graph of the parent function.
Please find attached the image of the graph of f(x), which is g(x) shifted to
the left by 3 units.
Changing the sign of the output value from positive to negative;
When the output value of a function is changed from positive to negative,
and vice versa, it is equivalent to a reflection across the x-axis.
Therefore, the function g(x) is a reflection across the x-axis.
Therefore;
g(x) is shifted 3 units to the left and reflected over the x-axis.
Learn more here:
Answer:
g(x) is shifted 3 units to the left and reflected over the x-axis.
Step-by-step explanation:
Given the Parent function:
And the other
Since the g(x) function is multiplied by -(1) and added to 3 units, then the curve is translated 3 units left and reflected over the x-axis, as the graph below shows.
The negative parameter "a" reflects over the x-axis. And the independent parameters, being added to the parent one translate the curve.
The two square roots of 4 are 2 and -2.
The factor of a number that, when multiplied by itself, yields the original number is known as the square root of the number. Special exponents include squares and square roots. Think about the number 9. When the number 3 is multiplied by itself, the result is 9. This can be expressed as either 3² or 3 × 3.
Given:
The number is 4,
Factorize the number as shown below,
4 = 2 × 2
Calculate the value of the square root of 4 as shown below,
√4 = √(2 × 2)
√4 = ±2
√4 = 2 or -2
Check as:
-2 × -2 = 4
2 × 2 = 4
Thus, the square root of 4 is 2 and -2.
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Whenever you take the square root of a number you get a negative and a positive result: √ 4 = ± 2 or { − 2 , 2 } − 2 ⋅ − 2 = 4 and 2 × 2 = 4
To represent the relationship between the set number and the number of sit-ups, you can use a simple verbal description: "The number of sit-ups in each set is half of the number in the previous set". The relationship between the set number and the number of sit-ups can be represented as a geometric sequence, where each set has half the number of sit-ups as the previous set. This can be calculated using the formula for a geometric sequence.
To represent the relationship between the set number and the number of sit-ups that Calvin and Mike do, you can use a mathematical expression or formula. In this case, the number of sit-ups in each set decreases by half compared to the previous set. You can express this relationship using an exponential decay formula:
Where:
represents the number of sit-ups in the nth set.
is the initial number of sit-ups in the first set (which is 64 in this case).
represents the reduction factor, as each subsequent set has half as many sit-ups.
n is the set number.
Using this formula, you can easily calculate the number of sit-ups in any set. For example, to find the number of sit-ups in the 4th set (n = 4), you would substitute n = 4 into the formula:
So, in the 4th set, Calvin and Mike do 8 sit-ups. This formula allows you to determine the number of sit-ups for any set without manually calculating each time.
Learn more about Geometric Sequence here:
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Answer:
64/2=32 32/2=16 16/2=8 8/2=4 4/2=2 2/2=1
Step-by-step explanation:
if you were to use a in and out chart you can you can set the in as the starting amount (64) and make the out/formula ÷2