Construct a polynomial function with the following properties: fifth degree, 4 is a zero of multiplicity 4, −1 is the only other zero, leading coefficient is 5.f(x)=?
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Answer:
Step-by-step explanation:
f(x)=a(x-4)^4(x+1)
where a is a constant.
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Physics students drop a ball from the top of a 100 foot high building and model its height above the ground as a function of time with the equation 2 ht . The height, h, is measures in feet and time, t, is 100 16 t measured in seconds. Be careful with all calculations in this problems and remember to do the exponent (squaring) first.
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Answer:
12 and the other answer will be 9
Step-by-step explanation:
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Answer:
a. 3.5 inches by 4.5 inches
b. 1.5 inches
c. Divide 48 inches by 2 and multiply 1 inch by 12 to get a scale of 1 : 2
Step-by-step explanation:
A scale is a representative fraction showing the relationship between length on a drawing and actual length.
i.e scale =
scale = 1 inch : 4 feet
a. The dimensions in the drawing can be determined as;
1 inch : 4 feet implies an inch on the drawing equates 4 feet on actual length.
= 3.5 inches
= 4.5 inches
Dimensions on drawing is 3.5 inches by 4.5 inches.
b. The length of the sofa is 6 feet, its length on the drawing is;
= 1.5 inches
c. To enlarge the scale so as to double the dimensions of the drawing, we have;
12 inches = 1 feet
4 feet = 4 × 12 = 48 inches
given scale = 1 inch : 48 inches
Thus, divide 48 inches by 2 and multiply 1 inch by 12.
scale = 12 inch : 24 inch
scale = 1 : 2
To double the dimensions of the drawing, the scale required is 1 : 2. This implies that a unit measure on the drawing is synonymous to 2 measures on the actual reading.
Answers
Answer:
37
Step-by-step explanation:
2(x-10)=54
2x-20=54
2x=74
x=37
2 units by 4 units
3 units by 2 units
4 units by 4 units
5 units by 6 units
Answers
Answer:
It’s c 4 units by 4 units
Step-by-step explanation:
Final answer:
The dimensions of the rectangle should be 2 units by 4 units.
Explanation:
The correlation coefficient between x and y is 0.0491, which is very low. This means that there is no linear relationship between x and y. Therefore, it is not possible to use the linear regression model to fit the data.
The other models that you can try are the quadratic, logarithmic, exponential, and power models. To find the best-fitting model, you can calculate the R-squared value for each model. The R-squared value is a measure of how well the model fits the data. The closer the R-squared value is to 1, the better the model fits the data.
Based on the R-squared values, the quadratic model is the best-fitting model. The quadratic model is:
y = -477.38 + 237.66 ln x
The dimensions of the rectangle that the student should draw are 2 units by 4 units.
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When using the law of sines, you want to label the sides of your triangle a, b, c, and the angles of your triangle A, B, C.
First, label the triangle. To make this easy, I'll tell you what I labeled them so you can follow along.
The side labeled 42 feet is side "a", and the angle opposite this side is angle A
66 degrees is angle B, and the side opposite this angle is side b
82 degrees is angle C, and the side opposite this angle is side c.
We know two angles of the triangle, 66 and 82. We also know that a triangle is made up of 180 degrees. To find the angle A, we can subtract angle B and angle C from 180.
A = 180 - 66 - 82 = 32
a = 42 b = ? c = ?
A = 32 B = 66 C = 82
Now we can start using the Law of Sines to solve for sides b and c.
the law of sines says:
sin(A) = sin(B) = sin(C)
a b c
we know a, A, and B, and we are looking for "b" so we can substitute those values into sin(A)/a = sin(B)/ b
sin(32) = sin(66)
42 b
cross multiply:
b sin(32) = 42sin(66)
divide both sides by sin(32)
b = 42sin(66) ≈ 72.4
sin(32)
We can do the same thing for side c.
sin(A) = sin(C)
a c
sin(32) = sin(82)
42 c
c sin(32) = 42sin(82)
c = 42sin(82) ≈ 78.5
sin(32)
The 3 sides are 42.0 feet, 72.4 feet, and 78.5 feet. To find the length of the fence needed to enclose the garden, simply add the three sides up.
42.0 + 72.4 + 78.5 = 192.9 feet
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Answer: the answer is C