Answer:
a. 121
b. 32100
c. 0.2
d. 400
Step-by-step explanation:
a. Quick disclaimer: If there's a decimal point on the divisor, in this case it would be .05, you have to move the decimal point until it has no decimal, in this case .05 would become 5.0 or just 5. The other number also has to have it's decimal point moved as much as the divisor, in this case two times, so it would be from 6.05 to 605. So with this in mind: 605/5 = 121
b. 96.3/.003 = 96300/3 = 32100
c. 0.12/0.6 = 1.2/6 = 0.2
d. 3.2/.008 = 3200/8 = 400
The factored form of the expression is (2x-1)(2x+5) and the x-intercept of the function is 1/4 and -5/2 respectively
<h3>Solving quadratic equation</h3>
Quadratic equations are equations that has a leading degree of 2. Given the quadratic equation below;
y = 4x^2 + 8x -5
The x-intercept is the point where the value of y is zero.
Factorize the resulting expression
y = 4x^2 + 8x -5
y = 4x^2 - 2x + 10x -5
y = 2x(2x-1)+5(2x -1)
y = (2x-1)(2x+5)
The factored form of the expression is (2x-1)(2x+5)
Equate the given factors to zero
(2x-1)(2x+5) = 0
Equate the factors to zero
2x - 1 = 0
2x = 1
x = 1/4
Similarly
2x + 5 = 0
2x = -5
x = -5/2
Hence the x-intercept of the function is 1/4 and -5/2 respectively
C) For the end behavior, as the value of x tends to infinity, hence the y-values tends to infinity
D) In order to plot the graph, the x-intercepts of the will be plotted on the graph and then curve will be created.
Learn more on quadratic equation here: brainly.com/question/1214333
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The maximum number of African cichlids which can put by Chiletso in this cylindrical fish tank is 19.
<h3>What is of volume of cylinder?</h3>
Volume of cylinder is the amount of quantity, which is obtained by it in the 3 dimensional space.
The volume of the cylinder can be given as,
V=(πd^2h)4
Here, (d) is the diameter of the base of the cylinder and (h) is the height of the cylinder.
The height of tank is 30 inches and the length of the diameter of the base is 27.5 inches. Thus, the volume of it is,
V=[π(27.5)²(30)] /4
V=17818.72 cubic inches.
One us gallon is equal to approximately 231 cubic inches. Thus, the volume in gallon is,
V=17818.72/231
V=77.12 gallons.
A good rule of thumb is to have about 3 inches of fish per 2 gallons of water. The number of 6 inches cichlids the can put in 77.12 gallons tank is,
V=(77.12 x 3)/(6 x 2)
V=19.28
Thus, the maximum number of African cichlids which can put by Chiletso in this cylindrical fish tank is 19.
Learn more about the volume of cylinder here;
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I’m looking into this as we speak!
Give me a second
Find the common denominator for 3 and 10 which is 30 now the denominator is 30 and what you do with one side you do to the other so 6 7/10 turns into
6 21/30 and 2 1/3 turns into 2 10/30 now subtract them so 6 21/30-2 10/30=
4 11/30