Answers
Answer:
Answer D
Step-by-step explanation:
The formula is [tex]A = pi r(r+\sqrt{h^2+r^2})[/tex]. We have our r (radius) and h (height), so plugging it all in would give us A = (3.14)(5 + sqrt(12^2)+(5^2). After computing this, you would get answer D, 282.6.
Related Questions
1. What is an inequality? Give one example of an inequality? How would you graph this? 2. What is a compound inequality? Give an example of "and" and an "or" inequality. 3. Identify the independent and dependent variables in the following situation: The more hours Beth studies, the higher the GPA she has.
Answers
Answer: see below
Step-by-step explanation:
1) An inequality is an equation that uses >, ≥, <, or ≤ instead of an equal sign.
Example: 3x + 2 ≥ 10
2) A compound inequality is when 2 inequalities are combined using either "and" or "or".
And → means it must satisfy both inequalitiesOr → means it must satisfy at least one of the inequalitiesExample: x > -2 and x < 4 rewrite as: -2 < x < 4
Graph: -2 o-----------------o 4 one line segment between the #'s
Example: x < -2 or x > 4
Graph: ←-----------o -2 4 o----------→ two lines in opposite directions
3) The GPA is dependent on the number of hours she studies.
Independent: hours Beth studies
Dependent: GPA
If sinθ = 12/13 and θ is an acute angle, find cotθ.
Answers
Answer:
[tex]\displaystyle \cot \theta = \frac{5}{12}[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle \sin \theta = \frac{12}{13}[/tex]
Where θ is an acute angle, and we want to find cot(θ).
Recall that sine is the ratio of the opposite side over the hypotenuse. In other words, our opposite side is measures 12 units and our hypotenuse measures 13 units.
Find the adjacent side:
[tex]\displaystyle \begin{aligned} a^2 + b^2 & = c^2 \\ \\ (12)^2 + b^2 & = (13)^2 \\ \\ b & = 5\end{aligned}[/tex]
Hence, our adjacent side is 5, our opposite side is 12, and our hypotenuse is 13.
Recall that cotangent is the ratio of the adjacent side to the opposite side. Therefore:
[tex]\displaystyle \cot \theta = \frac{5}{12}[/tex]
In conclusion:
[tex]\displaystyle \cot \theta = \frac{5}{12}[/tex]
Answer:
-5/12
Step-by-step explanation:
I just completed Quiz 2: Evaluation of Functions. Of which, this was one of the questions.
Given the g(x) function, what is the best estimate for the instantaneous rate of change at x=3? g(x) =x^2−2x+5
Answers
Answer:
4
Step-by-step explanation:
g(x) = x² − 2x + 5
g'(x) = 2x − 2
g'(3) = 4
subtract these polynomials (x^2+5x+2)- (5x^2-x-2)
Answers
Step-by-step explanation:
Here,
the given polynomials are;
(x^2+5x+2)-(5x^2-x-2)
now, when we open bracket of second polynomial we get,
=x^2+5x+2-5x^2+x+2
combining like terms and simplifying them we get;
=x^2-5x^2+5x+x+2+2
=-3x^2+6x+4.
Therefore, the answer is-3x^2+6x+4 or, taking - (minus) commo it will be -(3x2-6x-4).
Hope it helps....
Find the dimensions of a rectangle with area 512 m2 whose perimeter is as small as possible. (If both values are the same number, enter it into both blanks.)
Answers
Answer:
√512 by √512Step-by-step explanation:
Length the length and breadth of the rectangle be x and y.
Area of the rectangle A = Length * breadth
Perimeter P = 2(Length + Breadth)
A = xy and P = 2(x+y)
If the area of the rectangle is 512m², then 512 = xy
x = 512/y
Substituting x = 512/y into the formula for calculating the perimeter;
P = 2(512/y + y)
P = 1024/y + 2y
To get the value of y, we will set dP/dy to zero and solve.
dP/dy = -1024y⁻² + 2
-1024y⁻² + 2 = 0
-1024y⁻² = -2
512y⁻² = 1
y⁻² = 1/512
1/y² = 1/512
y² = 512
y = √512 m
On testing for minimum, we must know that the perimeter is at the minimum when y = √512
From xy = 512
x(√512) = 512
x = 512/√512
On rationalizing, x = 512/√512 * √512 /√512
x = 512√512 /512
x = √512 m
Hence, the dimensions of a rectangle is √512 m by √512 m
The perimeter of a rectangular field is 344m . If the width of the field is 75m, what is its length?
Answers
Answer:
97 m
Step-by-step explanation:
Perimeter = 2 * (length + width); perimeter = 344, width = 75 (solving for length)
344 = 2(length + 75)
172 = length + 75
length = 97
A car travels 133 mi averaging a certain speed. If the car had gone 30 mph faster, the trip would have taken 1 hr less. Find the car's average speed.
Answers
Answer:
49.923 mph
Step-by-step explanation:
we know that the car traveled 133 miles in h hours at an average speed of x mph.
That is, xh = 133.
We can also write this in terms of hours driven: h = 133/x.
If x was 30 mph faster, then h would be one hour less.
That is, (x + 30)(h - 1) = 133, or h - 1 = 133/(x + 30).
We can rewrite the latter equation as h = 133/(x + 30) + 1
We can then make a system of equations using the formulas in terms of h to find x:
h = 133/x = 133/(x + 30) + 1
133/x = 133/(x + 30) + (x + 30)/(x + 30)
133/x = (133 + x + 30)/(x + 30)
133 = x*(133 + x + 30)/(x + 30)
133*(x + 30) = x*(133 + x + 30)
133x + 3990 = 133x + x^2 + 30x
3990 = x^2 + 30x
x^2 + 30x - 3990 = 0
Using the quadratic formula:
x = [-b ± √(b^2 - 4ac)]/2a
= [-30 ± √(30^2 - 4*1*(-3990))]/2(1)
= [-30 ± √(900 + 15,960)]/2
= [-30 ± √(16,860)]/2
= [-30 ± 129.846]/2
= 99.846/2 ----------- x is miles per hour, and a negative value of x is neglected, so we'll use the positive value only)
= 49.923
Check if the answer is correct:
h = 133/49.923 = 2.664, so the car took 2.664 hours to drive 133 miles at an average speed of 49.923 mph.
If the car went 30 mph faster on average, then h = 133/(49.923 + 30) = 133/79.923 = 1.664, and 2.664 - 1 = 1.664.
Thus, we have confirmed that a car driving 133 miles at about 49.923 mph would have arrive precisely one hour earlier by going 30 mph faster
What is the vertex of the graph of g(x) = |x – 8| + 6?
Answers
Answer:
(8,6)Step-by-step explanation:
g(x) = |x – 8| + 6 was transformed from the parent function g(x) = |x|:
8 unit right
6 units up
a parent absolute value function has a vertex at (0,0)
if the function is moved so is the vertex:
(0+8,0+6)
(8,6)
So, the vertex of this function is at (8,6)
Answer: vertex = (8, 6)
Step-by-step explanation:
The Vertex form of an absolute value function is: y = a|x - h| + k where
a is the vertical stretch(h, k) is the vertexg(x) = |x - 8| + 6 is already in vertex form where
h = 8 and k = 6
so the vertex (h, k) = (8, 6)
Consider the Equation y > 3x + 1 (a) Find an ordered pair that satifies the equation (b) Is the equation a Releation? explain (c) Is the equation a Function? explain
Answers
Answer:
(a) (1,5)
(b) Every subset of a cartesian product is a relation, therefore this is a relation.
(c) The relation IS NOT a function.
Step-by-step explanation:
(a)
(1,5)
Notice that 3(1) +1 = 4 < 5 therefore (1,5) is an order pair that satisfies the equation.
(b)
Every subset of a cartesian product is a relation, therefore this is a relation.
(b)
A relation is a function of the following condition holds
if (a,b) and (c,b) belong to the relation then (a=c)
In this case, (1,5), (0,5) belong to the relation but 0 is different than 5, therefore the relation IS NOT a function.
the mean monthly income of trainees at a local mill is 1100 with a standard deviation of 150. find rthe probability that a trainee earns less than 900 a month g
Answers
Answer:
The probability is [tex]P(X < 900 ) = 0.0918[/tex]
Step-by-step explanation:
From the question we are told that
The sample mean is [tex]\= x = 1100[/tex]
The standard deviation is [tex]\sigma = 150[/tex]
The random number value is x =900
The probability that a trainee earn less than 900 a month is mathematically represented as
[tex]P(X < x) = P(\frac{X -\= x}{\sigma} < \frac{x -\= x}{\sigma} )[/tex]
Generally the z-value for the normal distribution is mathematically represented as
[tex]z = \frac{x -\mu }{\sigma }[/tex]
So From above we have
[tex]P(X < 900 ) = P(Z < \frac{900 -1100}{150} )[/tex]
[tex]P(X < 900 ) = P( Z <-1.33)[/tex]
Now from the z-table
[tex]P(X < 900 ) = 0.0918[/tex]
a guy wire makes a 67 degree angle with the ground. walking out 32 ft further grom the tower,the angle of elevation to the top of the tower is 39 degrees. find the height of the tower
Answers
Answer:
39.5 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between angles and sides of a right triangle.
Tan = Opposite/Adjacent
This lets us write two equations in two unknowns:
tan(67°) = AD/CD . . . . . . . . . . angle at guy point
tan(39°) = AD/(CD+32) . . . . . .angle 32' farther
__
Solving the first equation for CD and using that in the second equation, we can get an equation for AD, the height of the tower.
CD = AD/tan(67°)
tan(39°)(CD +32) = AD . . . . eliminate fractions in the second equation
tan(39°)(AD/tan(67°) +32) = AD
32·tan(39°) = AD(1 -tan(39°)/tan(67°)) . . . simplify, subtract left-side AD term
32·tan(39°)tan(67°)/(tan(67°) -tan(39°)) = AD . . . . divide by AD coefficient
AD ≈ 39.486 . . . . feet
The tower is about 39.5 feet high.
The price of a particular model car is $13,857 today and rises with time at a constant rate of $1203 per year. How much will a new car cost in 4.7 years?
Answers
Answer:
It should be about $19,500
Step-by-step explanation:
Answer:
$19,511.10
Step-by-step explanation:
1203*4.7= The total change over 4.7 years.
1203*4.7=5654.10
5654.10+13857=The total price after 4.7 years.
5654.10+13857=19,511.10
what is the answer to 100×338
Answers
Answer:
33800
Step-by-step explanation:
100 x 338 = 33800
Answer:
33800
Step-by-step explanation:
338x10=3380 then 3380x10=33800
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Good luck with your assignment...
For each of the following research scenarios, decide whether the design uses a related sample. If the design uses a related sample, identify whether it uses matched subjects or repeated measures. (Note: Researchers can match subjects by matching particular characteristics, or, in some cases, matched subjects are naturally paired, such as siblings or married couples.)
You are interested in a potential treatment for compulsive hoarding. You treat a group of 50 compulsive hoarders and compare their scores on the Hoarding Severity scale before and after the treatment. You want to see if the treatment will lead to lower hoarding scores.
The design described ___________a, b, or c_________________________.
a. uses a related sample - repeated measures
b. uses a related sample - matched subjects
c. does not use a related sample
John Caccioppo was interested in possible mechanisms by which loneliness may have deterious effects of health. He compared the sleep quality of a random sample to lonely people to the sleep quality of a random sample of nonlonely people.
The design described ______a, b, or c_________________________.
a. does not use a related sample
b. uses a related sample (repeated measures)
c. uses a related sample (matched subjects)
Answers
Answer:
a. uses a related sample - repeated measures
c. uses a related sample (matched subjects)
Step-by-step explanation:
A) You are interested in a potential treatment for compulsive hoarding. You treat a group of 50 compulsive hoarders and compare their scores on the Hoarding Severity scale before and after the treatment. You want to see if the treatment will lead to lower hoarding scores.
The design described uses a related sample - repeated measures because the scores were compared on the Hoarding Severity scale before and after the treatment.
B) John Caccioppo was interested in possible mechanisms by which loneliness may have deterious effects of health. He compared the sleep quality of a random sample of lonely people to the sleep quality of a random sample of nonlonely people.
The design described uses a related sample (matched subjects)
A packet of candles and box of matches cost #420. The candles cost 20 times as much as the matches
Answers
Answer:
candles = $400
matches = $20
Step-by-step explanation:
Let cost of candles = $c
Let cost of matches = $m
c = 20 m (20 times m)
c + m = 420
20m + m = 420
21 m = 420
m = 20
c = 20 (20) = 400
Write an equation perpendicular to 5x+6y=18 that passes through the point (10,7)
Answers
Answer:
Step-by-step explanation:
6y = -5x + 18
y = -5/6x + 3
perp slope: 6/5
y - 7 = 6/5(x - 10)
y - 7 = 6/5x - 12
y = 6/5x - 5
Here, we are required to write an equation perpendicular to 5x + 6y = 18.
The equation perpendicular to 5x+6y=18 that passes through the point (10,7) is;6x - 5y = 25.
By rearranging 5x+6y=18 to resemble the end of a straight line; y = Mx + c; we have;y = (-5/6)x +3Therefore, slope of equation 5x + 6y = 18 is -5/6.
However, the product of the slopes of 2 perpendicular lines is -1.Therefore, m1m2 = -1
Therefore, the slope of the required line, m2 is;
m2 = -1/(-5/6)m2 = 6/5
Therefore, the equation of a line perpendicular to the equation 5x+6y=18 and passes through the point (10,7) is given as;
6/5 = (y - 7)/(x - 10).
By cross product; we have;
6x - 60 = 5y - 35
6x - 5y = 25.
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Simplify the expression using the order of operations. 2[16-5⋅2]÷4
Answers
Answer:
3.
Step-by-step explanation:
Solve in the order of pemdas.
Answer:
[tex]\boxed{\sf 3}[/tex]
Step-by-step explanation:
Solve brackets first.
[tex]2[16-5 \cdot 2]\div4[/tex]
Multiply the terms in the brackets.
[tex]2[16-10]\div4[/tex]
Subtract the terms in the brackets.
[tex]2[6]\div4[/tex]
Divide the numbers.
[tex]2(\frac{6}{4} )[/tex]
Multiply.
[tex]\frac{12}{4} =3[/tex]
Which is equivalent to 64 1/4 ?
Answers
[tex]\frac{257}{4}[/tex]
Step-by-step explanation:[tex]64\frac{1}{4}=\frac{64*4+1}{4}=\frac{256+1}{4}=\frac{257}{4}[/tex]
The conversion of this mixed number 64 1/4 into an improper fraction is 257/4.
What is a fraction?In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.
In this exercise and scenario, we would convert the given mixed fraction into an improper fraction into a by multiplying and adding as follows;
64 1/4 = ((4 × 64) + 1)/4
64 1/4 = 257/4
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A trip 50 miles out of town takes 45 minutes. If the same person
drives another 120 miles at the same rate how many hours will it
take?
Answers
Hey there! I'm happy to help!
We see that it takes 45 minutes for a person to drive 50 miles. We can write this as a fraction that is 45/50, which simplifies to 9/10, meaning it would take this person 9 minutes to travel 10 miles.
So, how long would it take to travel 120? Well, we know that if we take 10 miles and multiply it by 12 we will have 120 miles. If we take the time it takes to drive those ten miles (9 minutes) and multiply it by 12, we will figure out how long it takes to drive 120 miles!
9×12=108
However, we want this to be written in hours. We know that there are 60 minutes in an hour, and if we subtract 60 from 108 we have 48. This gives us 1 hour and 48 minutes.
Therefore, it will take 1 hour and 48 minutes for this person to travel 120 miles at the same rate.
Have a wonderful day! :D
What is an example of force causing a change in the size of the body (P.S. what is the difference between shape and size?)
Answers
Answer:
shape is how it looks like Square is a shape and size is how big something in like my size of my foot is 6 inches
Step-by-step explanation:
well idk your real question i think it is that your shape and size can change
Please answer this correctly without making mistakes
Answers
Answer: 4.3 mi
Step-by-step explanation:
From Oxford, getting to Kingswood takes 7.5mi, and getting to Norwood takes 11.8mi. Thus, simply do 11.8-7.5 to get 4.3mi.
Hope it helps <3
29% of workers got their job through networking. A researcher feels this percentage has changed. Express the null and alternative hypotheses in symbolic form for this claim (enter as a percentage).
Answers
Answer: [tex]H_0:p=0.29[/tex]
[tex]H_a: p \neq0.29[/tex]
Step-by-step explanation:
A null hypothesis[tex](H_0)[/tex] is a type of statement used in statistics that proposes that there is no difference between particular characteristics of a population whereas the alternative hypothesis[tex](H_a)[/tex] proposes that there is a difference.
Let p be the population proportion of workers got their job through networking.
Given: 29% of workers got their job through networking.
i.e. [tex]H_0:p=0.29[/tex]
A researcher feels this percentage has changed.
i.e. [tex]H_a: p \neq0.29[/tex]
Hence, the required null and alternative hypotheses in symbolic form for this claim:
[tex]H_0:p=0.29[/tex]
[tex]H_a: p \neq0.29[/tex]
A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the square is or . Since the area of the circle is the area of the square, the volume of the cylinder equals the volume of the prism or (2r)(h) or πrh. the volume of the prism or (4r2)(h) or 2πrh. the volume of the prism or (2r)(h) or r2h. the volume of the prism or (4r2)(h) or r2h.
Answers
Answer:A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the square is or . Since the area of the circle is the area of the square, the volume of the cylinder equals the volume of the prism or (2r)(h) or πrh. the volume of the prism or (4r2)(h) or 2πrh. the volume of the prism or (2r)(h) or r2h. the volume of the prism or (4r2)(h) or r2h.A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the square is or . Since the area of the circle is the area of the square, the volume of the cylinder equals the volume of the prism or (2r)(h) or πrh. the volume of the prism or (4r2)(h) or 2πrh. the volume of the prism or (2r)(h) or r2h. the volume of the prism or (4r2)(h) or r2h.
A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the square is or . Since the area of the circle is the area of the square, the volume of the cylinder equals the volume of the prism or (2r)(h) or πrh. the volume of the prism or (4r2)(h) or A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the square is or . Since the area of the circle is the area of the square, the volume of the cylinder equals the volume of the prism or (2r)(h) or πrh. the volume of the prism or (4r2)(h) or 2πrh. the volume of the prism or (2r)(h) or r2h. the volume of the prism or (4r2)(h) or r2h.
A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the square is or . Since the area of the circle is the area of the square, the volume of the cylinder equals the volume of the prism or (2r)(h) or πrh. the volume of the prism or (4r2)(h) or 2πrh. the volume of the prism or (2r)(h) or r2h. the volume of the prism or (4r2)(h) or r2h.
A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the square is or . Since the area of the circle is the area of the square, the volume of the cylinder equals the volume of the prism or (2r)(h) or πrh. the volume of the prism or (4r2)(h) or 2πrh. the volume of the prism or (2r)(h) or r2h. the volume of the prism or (4r2)(h) or r2h.
A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the square is or . Since the area of the circle is the area of the square, the volume of the cylinder equals the volume of the prism or (2r)(h) or πrh. the volume of the prism or (4r2)(h) or 2πrh. the volume of the prism or (2r)(h) or r2h. the volume of the prism or (4r2)(h) or r2h.
Step-by-step explanation:
The cylinder is given by A = pi/4 the volume of the prism or π/4 x (4r²h) or π x r² x h
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Area circle is A = πr²
Area square with side s = s²
The side of the square is equal to the diameter of the circle
Area square = D²
A diameter of square is always twice the radius
Area square = (2r)² = 2²r² = 4r²
So , on simplifying , we get
Area circle/Area square = (πr²)/(4r²)
Area circle/Area square = π/4
Now , The volume Prism = Area Square x h
Volume Prism = 4r²h
Volume of Cylinder= Area Circle x h
Volume of Cylinder = π x r² x h
So , Volume Cylinder/Volume Prism = π x r² x h/4r² x h
Volume of Cylinder/Volume of Prism = π/4
Volume of Cylinder = π/4 x Volume Prism
And , The volume of Cylinder = π/4 x (4r²h)
Hence , the volume of cylinder is V = π/4 x (4r²h)
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Consider the density curve plotted below:
Find PX < 6.4):
Find P(X> 4.8):
Answers
Answer:
[tex] P(X<6.4)= \frac{6.4*0.2}{2}= 0.64[/tex]
[tex] P(X>4.8) =1-P(X<4.8)= 1- \frac{4.8*0.15}{2}= 1-0.36= 0.64[/tex]
Step-by-step explanation:
Part a
We want to find:
[tex] P(X<6.4)[/tex]
And we just need to find the area below the curve until x=6.4, since we have a triangle we can do this:
[tex] P(X<6.4)= \frac{6.4*0.2}{2}= 0.64[/tex]
Part b
For this case we want to find this probability:
[tex] P(X>4.8)[/tex]
And we can use the complement rule and we got:
[tex] P(X>4.8) =1-P(X<4.8)= 1- \frac{4.8*0.15}{2}= 1-0.36= 0.64[/tex]
when Charles eats Oreos , he likes to dunk 2 out of every 5 cookies in a cold glass of milk. if he eats a total of 15 Oreos , how many will he dunk ? how many will ge eat without dunking?
Answers
Answer: 6 with milk, 9 without
Step-by-step explanation:
2/5 of the cookies he eats are dunked. Thus, simply do 2/5, or .4*15 to get that 6 cookies are dunked, and 15-6 to get that 9 cookies are not dunked.
Hope it helps <3
cual es la derivada de ()=√x sin
Answers
Answer:
[tex] f(x) =\sqrt{x} sin (x)[/tex]
And on this case we can use the product rule for a derivate given by:
[tex] \frac{d}{dx} (f(x)* g(x)) = f'(x) g(x) +f(x) g'(x)[/tex]
Where [tex] f(x) =\sqrt{x}[/tex] and [tex] g(x) =sin (x)[/tex]
And replacing we have this:
[tex] f'(x)= \frac{1}{2\sqrt{x}} sin (x) + \sqrt{x}cos(x)[/tex]
Step-by-step explanation:
We assume that the function of interest is:
[tex] f(x) =\sqrt{x} sin (x)[/tex]
And on this case we can use the product rule for a derivate given by:
[tex] \frac{d}{dx} (f(x)* g(x)) = f'(x) g(x) +f(x) g'(x)[/tex]
Where [tex] f(x) =\sqrt{x}[/tex] and [tex] g(x) =sin (x)[/tex]
And replacing we have this:
[tex] f'(x)= \frac{1}{2\sqrt{x}} sin (x) + \sqrt{x}cos(x)[/tex]
What is the first stepin solving the quadratic equations x2-40=0
Answers
Answer:
+40 to both sides of the = sign.
Step-by-step explanation:
x2-40=0
+40=+40
x2=40
/2=/2
x=20
determining the probability of events. please help :)
Answers
Answer:
C. 1/8
Step-by-step explanation:
Probability of shooting a goal on a throw is 2/4 = 1/2.
Probability of 3 in a row is (1/2)³ = 1/8.
box with a a square base and open top must have a volume of 62,500 cm3. Find the dimensions of the box that minimize the amount of material used. sides of base
Answers
Answer:
The dimensions of the box that minimize the amount of material used is 39.69 cmStep-by-step explanation:
This problem is on the mensuration of solids, a box
we know that the volume of a box is give by the expression
[tex]Volume= L^3[/tex]
now to find the dimension of the box, we need to find L
Given data
volume = [tex]62,500 cm^3[/tex].
[tex]62,500 cm^3= L^3\\L=\sqrt[3]{62500} \\\L=39.69 cm[/tex]
Answer:
The dimensions of box that will minimize the amount of material used is [tex]39.69cm[/tex]
Step-by-step explanation:
Given information
Volume [tex]V=62500cm^3[/tex]
As given in question the box is of square shape:
So the volume will be
[tex]V=L^3[/tex]
where, L is the side of the square
[tex]V=L^3=62500\\L=\sqrt[3]{62500} \\L=39.69 cm\\[/tex]
Hence, The dimensions of box that will minimize the amount of material used is [tex]39.69cm[/tex].
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what is the period of the function g(x)=2cos(7x+5)+1
Answers
Answer:
2π/7
Step-by-step explanation:
A cosine wave is:
y = A cos(2π/T x + B) + C
where A is the amplitude,
T is the period,
B is the horizontal shift,
and C is the vertical shift.
In this case:
7 = 2π/T
T = 2π/7
Answer:
The period the la function is with the formula that will be explained below
Step-by-step explanation:
The period is calculated with this formula:
2 π
b
The absolute value is the distance between a number and zero, therefore the distance between zero and 7 is therefore 7; therefore we finally have:
Periodo:
2 π
7