The ACT English test consists of _____ questions.
2 answers:
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Answer: See below
Explanation:
For this question, we are given the volume, and we want to find the diameter. We have to work backwards to get our radius, then to find the diameter.
(Volume of cylinder)
(The π cancel out)
(Plug in h=8)
(Divide 8)
(Square root of 9 is 3)
Now that we have our radius, we can find our diameter.
(Equation for diameter)
(Plug in r=3)
(Multiply)
The sum of the two numbers is equal to 70.
- Let the first number be x.
- Let the second number be y.
In this exercise, you're required to find two numbers by translating the word problem into an algebraic expression and then solving for the unknown variables (x and y).
Translating the word problem into an algebraic expression, we have;
Two numbers differ by 8:
....equation 1.
The product of the two numbers is 713:
....equation 2.
To calculate the sum of the two numbers:
First of all, we would solve for each of the unknown variables (x and y).
From eqn. 1, we have:
....equation 3.
Substituting eqn. 3 into eqn. 2, we have:
Solving the quadratic equation by factorization, we have:
y = -23 or 31.
For the value of x, when y = 31:
x = 39
Now, we can calculate the sum of the two numbers:
Read more on word problems here: brainly.com/question/13170908
The function that shows how quickly the weeds grow each day is and the weed grows at a rate of approximately 3% daily
The standard form of an exponential function is given as y = ab^x
Given the exponential function that shows the rate at which the weed grew each day expressed as g(x) = 197(1. 25)^x
- x is the time in weeks
- Since<u> there are 7 days in a week,</u> the time will in the day will be expressed as 7x where x is in days.
Substitute x as 7x in the given exponential function to have:
If the growth rate was 25% each week, then;
0.25 = 7 days
x = 1 day
7x = 0.25
x = 0.25/7
x = 0.0357
Hence the weed grows at a rate of approximately 3% daily
Learn more on exponential function here: brainly.com/question/12940982