A storage company must design a large rectangular container with a square base. The volume is 6750ft3. The material for the top costs $12 per square foot, the material for the sides costs $5 per square foot, and the material for the bottom costs $8 per square foot. Find the dimensions of the container that will minimize the total cost of material.
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Related Questions
A vector has a horizontal component of 14 and a vertical component of 36. Find the direction angle and the magnitude. Direction angle?
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Answer:
The direction angle is 68.73 degrees and its magnitude is 38.62.
Step-by-step explanation:
Given that,
The horizontal component of a vector = 14
The vertical component of a vector = 36
Let the magnitude of a vector is v. So,
[tex]v=\sqrt{14^2+36^2} \\\\=38.62[/tex]
For direction,
[tex]\tena\theta=\dfrac{y}{x}\\\\=\dfrac{36}{14}\\\\\theta=\tan^{-1}(2.57)\\\\=68.73^{\circ}[/tex]
So, the direction angle is 68.73 degrees and its magnitude is 38.62.
$3.29 for 9.25 ounces
How much is it per ounce?
Answers
Answer:
About $0.36 per ounce
Step-by-step explanation:
Set up a proportion.
Let p = price per ounce
3.29/p = 9.25 ounces/(1 ounce)
9.25p = 3.29
p = 3.29 ÷ 9.25
p = 0.3556756757
We can say 35 cents per ounce or 36 cents per ounce if rounded to 2 decimal places.
90 people attended the movies yesterday. 87 people attended the movies today. Is this an increase or decrease? What was the percent change?
Answers
Answer:
This is a decrease
Step-by-step explanation:
3.33%
please hurry need help now
What is the solution to Ex- 3? 25 Ox> 18 25 Ox>2 O x
Answers
Answer: c, but I’m not totally sure
Step-by-step explanation:
What’s the product of (23-8c) - (5c-1)
Answers
Answer:
[tex]40c^{2}[/tex] -123c + 23
Step-by-step explanation:
1. First you need to distribute the negative sign to the second binomial
(23 - 8c) - (5c - 1)
(23 - 8c) (-5c + 1)
2. Distribute each term in the first binomial to each term in the second binomial, FOIL (first, outer, inner, last)
(23 - 8c) (-5c + 1)
-115c + 23 + [tex]40c^{2}[/tex] -8c
3. Combine the like terms
-115c + 23 + [tex]40c^{2}[/tex] -8c
[tex]40c^{2}[/tex] -123c + 23
hope this helps!
Hi can you please tell me the answe to this question its due in a few mins. Thank you so much!!
Answers
Answer:
LNO I BELIEVE
Step-by-step explanation:
IT MAKES THE SAME SHAPE THAT NMO MAKES
3 + 2x = -6x + 4
what’s x
100 points
Answers
Answer:
x = 1/8
Step-by-step explanation:
Add 6x to both sides:
3 + 2x = -6x + 4
3 + 8x = 4
Subtract 3 from both sides:
8x = 1
Divide each side by 8:
x = 1/8
So, x = 1/8
what is the length of BC
Answers
Answer:
17
Step-by-step explanation:
this is an isosceles triangle so AB = AC
2x-8 = x + 9
x -8 = 9
x = 17
so CB = 17
HELP ASAP! What are the slope and y-intercept of the linear function that is represented by the table?
A. The slope ls -2, and the y-intercept is 6.
B. The slope ls -2, and the y-intercept is 12.
C. The slope is 2, and the y-intercept is 6.
D. The slope is 2, and the y-intercept is 12.
Answers
Answer:
A
Step-by-step explanation:
Answer:
Step-by-step explanation:
Use two points and find slope initially so,
(-3,18) (0,12)
18-12=6 , -3-0= -3
so the slope is 6/-3 = -2 so by this answer is either a or b .
further apply y =mx + c as it linear to find c
y= -2x + c
0 = -2x6 + c
c = 12
so slope is -2 , c is 12
What is the slope of the line going through the points (2,5) and (-4,-1)?
Answers
Answer: The answer is 1.
Step-by-step explanation: The entered points belong to an increasing, linear function.
Equation: y = 1x + 3.
Use the formula m=y2-y1/x2-x1 to plug in the x and y values and subtract.
-1-5/-4-2=-6/-6
-6/-6 simplifies to 1.
Hope this helps!
Click on the picture do number 18 and 19
Answers
Answer:
<1=<2Being vertical angles
<2+<3=90° Being complementary angle
m<3=56
now
<2+<3=90
<2=90-56
<2=34
:.<1=34°
Round these numbers to the hundred- 6,232 490- 23,058
Answers
Answer:
6,200 500 23,000
Hoped this helped:)
Step-by-step explanation:
Answer:
6,232 rounded is 6,200
490 rounded is 500
23,058 rounded is 23,100
mickey is typing in the computer lab and typing at 23 words per minute if he types for 11 minutes how many words does he type
Answers
Answer:
253 wpm
Step-by-step explanation:
23*11 which is 253.
Hope this helps plz mark brainliest :D
Select the correct answer.
It is 170 miles from Bruce's house to the city where his brother lives. On his last trip to visit his brother, he drove for 2 hours at 55 miles per
hour. Then he came to some very bad road construction. The rest of the trip took 2 hours. How many miles per hour did Bruce drive for the rest
of the trip?
Va
Answers
Answer:
He drove the rest of the trip at 30 miles per hour
Step-by-step explanation:
The rule of the distance is D = v × t, where
v is the speedt is the time∵ It is 170 miles from Bruce's house to the city where his brother lives
∴ D = 170 miles
∵ He drove for 2 hours at 55 miles per hour
∴ t1 = 2 hours and v1 = 55 miles/hour
→ By using the rule above find the distance of this part of his trip
∴ D1 = 55 × 2 = 110 miles
∵ The rest of the trip took 2 hours
∴ t2 = 2 hours
∵ D = D1 + D2
→ Substitute the values of D and D1 to find D2
∴ 170 = 110 + D2
→ Subtract 110 from both sides to find D2
∴ 60 = D2
∴ D2 = 170 - 110 = 60 miles
∵ The rest of the trip is 60 miles
∵ It took 2 hours
∵ D2 = v2 × t2
∴ 60 = v2 × 2
→ Divide both sides by 2
∴ 30 = v2
∴ v2 = 30 miles/hour
∴ He drove the rest of the trip at 30 miles per hour
One number is three less than another number. If their sum is 49, find the two numbers.
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Answer:
21 and 28
Step-by-step explanation:
Suppose you scored 95 on a measure where the mean was 110 and the standard deviation was 15. Assuming a normal distribution, what percentage of scores should fall between your score and the mean?
Answers
Answer:
34% of scores should fall between your score and the mean.
Step-by-step explanation:
Let X denote the score.
It is provided that X follows a normal distribution with mean 110 and standard deviation 15.
A students score, x = 95.
Compute the probability of scores that should fall between the student's score and the mean as follows:
[tex]P(95<X<110)=P(\frac{95-110}{15}<\frac{X-\mu}{\sigma}<\frac{110-110}{15})[/tex]
[tex]=P(-1<Z<0)\\\\=P(Z<0)-P(Z<-1)\\\\=0.50-0.15866\\\\=0.34134\\\\\approx 0.34[/tex]
Thus, 34% of scores should fall between your score and the mean.
Susan has a piggy bank with 28 coins in it, all dimes and quarters. She has been collecting state quarters and so far has no repeats. If the piggy bank has $5.50. how many more quarters does Susan need before she has a quarter from each of the 50 states?
HELP I WILL GIVE POINTS AND BRAINLIEST
Answers
Answer:
She needs 32 quarters.
Step-by-step explanation:
d = dime q = quarters
d + q = 28 so d = 28-q
0.1d + 0.25q = 5.50
0.10 * (28-q) + 0.25q = 5.50
2.80 - 0.10q + 0.25q = 5.50
0.15q = 5.50 - 2.80
0.15q = 2.70
q = 2.70 / 0.15
q = 18 quarters (she has)
50-18= 32 quarters (she needs)
Kevin has four apples in a boat each apple weighs 60 G and the empty bowl weighs 40 grams what is the total weight of the four apples with the bow
Answers
9514 1404 393
Answer:
280 g
Step-by-step explanation:
The total weight is the sum of the weights of the objects:
total = bowl + apple + apple + apple + apple
We use multiplication to simplify repeated sums:
total = bowl + 4 × apple
total = (40 g) + 4 × (60 g) = 40g + 240 g
total = 280 g
The bowl and 4 apples weighs 280 grams.
Evaluate -(7^-3)(7^5)
A: 49,
B: -49,
C: -1/49,
D: 1/49.
Answers
Answer:
Option B -49
Step-by-step explanation:
-(7^-3)(7^5)
-1/7^3×7^5
-7^2
-49
So option B is correct
Answer:
B
Step-by-step explanation:
-(7^-3) = -1/343
(7^5) = 16807
16807*-1/343 = -49
What does corresponding angles mean
Answers
Answer: corresponding angles. lie on the same side of a transversal in corresponding positions with respect to two lines that the transversal intersects if the lines are parallel then the corresponding angles are congruent.
Step-by-step explanation:
Shana, who lives in Canada, and Pearl, who lives in Pennsylvania, were discussing the weather. Shana complained about the cold temperature of Negative 20 degrees Celsius. Pearl, who lives in Pennsylvania, mentioned that her temperature was the opposite of Shana’s. Which is the correct way to represent “the opposite of Shana’s temperature is equal to Pearl’s”? Negative 20 = 20 Negative (negative 20) = negative 20 Negative (20) = negative 20 Negative (negative 20) = 20
Answers
Answer:
the answer is -20 =20
Step-by-step explanation:
the opposite of 20 is -20
Answer:
im going to edit it when i finish the quiz
Step-by-step explanation:
Ok this is the edit and the person above me is wrong so i think it would be - ( -20) = 20 or D
what number should be added to 1253 to get 3000
Answers
Answer:
1747
Step-by-step explanation:
3000 - 1253 = 1747
Therefore 1747 should be added to 1253 to get 3000.
6 and 5 hundredths written in decimal
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Answer:6.05
Step-by-step explanation:
6 is the ones place. 0 is the tenths place. 5 is the hundredths place.
What is the slope of this line? Plz
Answers
Answer:
-2
Step-by-step explanation:
a) ¿Cuántas décadas han transcurrido desde 1917 hasta 2020
Answers
A company weighs 1,096 boxes of cereal and finds that 12.5% of them weighed less than one pound. Which of
the following is the number of boxes that weighed less than one pound?
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Answer:
500
Step-by-step explanation:
Raise to the power:
c
(–3y)4
Answers
Answer:
3^4 x y^4
Step-by-step explanation:
Suzy wants a triangular sandbox. Her dad makes a sandbox/triangle out of boards that are 9 ft, 12 ft, and
15 ft. Does Suzy's sandbox make a right triangle?
O True
O False
Answers
Can someone help me solve this
Answers
Answer:
sin x = -5/13
csc x = -13/5
sec x = 13/12
cot x = -12/5
tan x = -5/12
Step-by-step explanation:
**x is in quadrant iv because 3pi/2<x<2pi
if cos x=12/13, then 12 is the adjacent value and 13 is the hypotenuse value. to find sin, or opposite/hypotenuse, use the pythagorean identity. opposite=5 and hypotenuse is given as 13. & since it's in quad iv, the sine (or y) value is negative bc it's below the x axis. thus, sin x = -5/13csc is cosecant, or the reciprocal of sine. so csc x = -13/5sec is secant, or the reciprocal of cosine. so sec x = 13/12tan is opp/adj, so tan x = -5/12. it's negative bc tan is negative in quad ivcot is cotangent, or the reciprocal of tangent. so cot x = -12/5Answer:
8. sin x = -5/13
9. csc x = -13/5
10. sec x = 13/12
11. cot x = -12/5
12. tan x = -5/12
Step-by-step explanation:
The mnemonic SOH CAH TOA can help you with the sine and tangent. You need to rely on your memory (or notes) to find the reciprocal functions.
The dimensions are such that you can recognize this as a 5-12-13 right triangle. Or, you can use the Pythagorean theorem to find the third side from ... O = -√(H² -A²) = -√(169 -144) = -√25 = -5
The given quadrant tells you that O is negative.
__
8. Sin = Opposite/Hypotenuse
Here, the opposite is -5. The hypotenuse is always taken to be positive.
sin x = -5/13
__
9. Csc = 1/Sin
csc x = -13/5
__
10. Sec = 1/Cos
sec x = 13/12
__
11. Cot = 1/Tan = Adjacent/Opposite
cot x = 12/-5
cot x = -12/5
__
12. Tan = Opposite/Adjacent
tan x = -5/12
how many 2/3 size pieces are in 4 wholes
Answers
Answer:
3rd
Step-by-step explanation:
the 3rd makes 1 whole
Step-by-step explanation:
Change 4/(2/3) to 4(3)/2.
4 x 3 = 12
12/2 = 6
So the answer is 6