Answers
Answer:
A. Volume = 462 cm³; Surface Area = 458 cm²
B. Volume
C. Surface area
Step-by-step explanation:
A. Given a rectangular box:
[tex] Width (w) = 3 cm [/tex]
[tex] Height (h) = 14 cm [/tex]
[tex] length (l) = 11 cm [/tex]
=>Volume of the juice box
[tex] Volume (V) = whl [/tex]
[tex] Volume (V) = 3*14*11 [/tex]
[tex] = 3*14*11 = 462 [/tex]
Volume of juice box = 462 cm³
=>Surface area (S.A) of juice box:
[tex] S.A = 2(wl + hl + hw) [/tex]
[tex] S.A = 2(3*11 + 14*11 + 14*3) [/tex]
[tex] S.A = 2(33 + 154 + 42) [/tex]
[tex] S.A = 2(229) [/tex]
[tex] S.A = 458 cm^2 [/tex]
Surface area of juice box = 458 cm²
B. Volume would be used to find the amount of juice the box can hold
C. Surface area would be used to know how much wax to buy to use in coating the box.
Related Questions
The circular base of a cone has a radius of 5 centimeters. The height of the cone is 12 centimeters, and the slant height is 13 centimeters. What is the approximate surface area of the cone? Use 3.14 for π and round to the nearest whole number. 267 cm2 283 cm2 456 cm2 487 cm2
Answers
Answer: 283 cm2
Step-by-step explanation:
The formula for finding the surface area of a cone is:
A=[tex]\pi r(r+\sqrt{h2+r2})[/tex] Where r is the radius and h is the height.
Replacing: [tex]\pi 5(5+\sqrt{(12)2+(5)2}[/tex]
Solving: 282,7 ≈ 283cm2
Answer:
bee
Step-by-step explanation:
its be because its true
34=3(y+6)-8 Please Explain.
Answers
Answer:
y =8
Step-by-step explanation:
34=3(y+6)-8
Add 8 to each side
34+8=3(y+6)-8+8
42 =3(y+6)
Divide by 3
42/3 = 3(y+6)/3
14 = y+6
Subtract 6 from each side
14-6 = y+6-6
8 = y
Answer:
y = 8
Step-by-step explanation:
Add 8 to both sides.
42=3(y+6)
Divide 3 from both sides.
14=y+6
Subtract 6 from both sides.
8 = y
Could someone explain to me how to solve this? What’s a real number? And how do I find x
Answers
Answer:
The domain is all real numbers but x ≠15/14
Step-by-step explanation:
The domain is the numbers that are allowed for x
f(x) = 50 / (14x-15)
The denominator is not allowed to go to zero or we are dividing by zero
14x-15 cannot equal zero
14x-15≠0
Add 15 to each side
14x ≠15
Divide by 14
x ≠15/14
The domain is all real numbers but x ≠15/14
Real numbers are those that can be shown on a number line.
Answer:
[tex]\boxed{\frac{15}{14} }[/tex]
Step-by-step explanation:
The domain of a function is the set of all possible values for x.
If the denominator of the function equals 0, then the output is undefined.
Put up an equation to solve for x.
14x - 15 = 0
Add 15 to both the sides.
14x = 15
Divide both sides by 14.
[tex]\displaystyle \frac{14x}{14} =\frac{15}{14}[/tex]
x = [tex]\displaystyle \frac{15}{14}[/tex]
Solve for x. Remember to check for extraneous solutions. √(x-3) = √(x+2) + 1. Choices: a. 6 b. No solution c. 7 d. 9
Answers
Which rule describes the x-coordinates in the translation below?. On a coordinate plane, triangle A B C is shifted 6 units up.
Answers
Answer:
The answer is A: x + 0
Step-by-step explanation:
I got it correct on Edge. Please give 5 stars and have a great day! :)
The translation of the x-coordinate is written as x⇒0 for the triangle ABC.
What is translation?A translation in mathematics moves a shape left, right, up, or down but does not turn it. The translated (or image) shapes appear to be the same size as the original shape, indicating that they are congruent. They've just moved in one or more directions.
A coordinate system is a two-dimensional number line, such as two perpendicular axes. This is an example of a typical coordinate system: The horizontal axis is referred to as the x-axis, and the vertical axis is referred to as the y-axis.
Given that on a coordinate plane, triangle A B C has shifted 6 units up. The x translation for the triangle is zero.
The x-coordinate translation is written as,
x ⇒ 0
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What is a Theorem? PLEASE HELP!! a A known fact. b Information that seems true but must be proven. c A definition. d A formula.
Answers
Answer:
D. A formula
Step-by-step explanation:
If you look at an example of a theorem, let's try Pythagorean Theorem, you can see it is a formula used to find an angle of a triangle, especially a hypotenuse.
Which sequence of transformations creates a similar but not congruent triangle?
A. Dilation and reflection
B. Reflection and rotation
C. Reflection and translation
D. Translation and rotation
Answers
Answer:
A. Dilation and reflectionStep-by-step explanation:
There are the same angles in similar triangles but sides not necessarily.
In congruent triangles there are the same angles and the same sides.
Reflection, rotation or translation changes only position of triangle or mirrors it. Doesn't change the size, so the created triangle is congruent.
f(x)=x^2. What is g(x)?
Answers
Answer:
A
Step-by-step explanation:
With this one, you can just plug in 3 into each of the equations until the answer is 1.
When u plug 3 into x for solution A.
(1/3)×3=1
1^2=1
Answer:
[tex]\boxed{ \mathrm{A} }[/tex]
Step-by-step explanation:
The point is given (3, 1)
x = 3
y = 1
y = (1/3x)²
Plug x as 3 and y as 1.
The equation should be equal.
1 = (1/3(3))²
1 = 1²
1 = 1 True
A professor is grading the final exam. He notices that the mean test score is 61, and the standard deviation is 10. The test scores were normally distributed. if there were 450 students in the data sample, how many would have a test score between 61 and 71? *Round your answer to the nearest full value.
Answers
Answer:
66666699999
Step-by-step explanation:
Which sequence can be generated from the formula f(x + 1) = One-half(f(x))?
Answers
Answer:
x, StartFraction x Over 2 EndFraction, StartFraction x Over 4 EndFraction, StartFraction x Over 8 EndFraction, ellipsis
Step-by-step explanation:
Answer:
C. x, x/2, x/4, x/8, ...
Step-by-step explanation:
I'm late but it's correct on edg, just did it myself. Hope it helps!
17.
The figure below shows a cylindrical water
tank with a circular opening at the top of
radius 14cm. What is the surface area of
the tank in m??
π=22/7
Radius-25cm
Height=1.5m
Answers
Hey there! I'm happy to help!
BOTTOM CIRCLE
First, let's find the area of the bottom circle. We will use 3.14 for pi.
A=3.14×r²
A=3.14×25²
A=3.14×625
A=1962.5
TOP CIRCLE WITH OPENING
The top circle has the same area as the bottom one but the area of the opening is subtracted from it. Let's find the area of this circular opening with a radius of 14 cm.
A=3.14×14²
A=3.14×196
A=615.44
Now, we subtract this from the area of the 25 cm radius circle.
1962.5-615.44=1347.06
RECTANGLE
A cylinder is made up of a rectangle wrapped around a top and bottom circle. One side of that rectangle is the height of the cylinder and the other side is the circumference of the circle, as the top side of the rectangle wraps completely around the circle.
Let's find the circumference of the circle.
C=3.14×d
Diameter is twice the radius, so diameter is 50 cm.
C=3.14×50
C=157
We multiply this by the height.
157×1.5=235.5
TOTAL SURFACE AREA
We now combine the areas of the bottom circle, top circle with opening, and rectangle to find the surface area.
1962.5+1347.06+235.5=3545.06
Therefore, the surface area of the tank is 3545.06 m².
Have a wonderful day! :D
PLS help ASAP I need help with 13
Answers
Answer:
335
Step-by-step explanation:
536/336 = x/210
We're assuming all horizontal lines are parallel. Let x be the distance between A and B
[tex]\dfrac{x}{536}=\dfrac{210}{336}[/tex]
Cross multiply
[tex]336x=536 \times 210[/tex]
Simplifying and solving for x gives us:
[tex]x=335[/tex]
Now, add the distance between A and B and the distance between B and C to find the distance between A and C:
[tex]335+536=871[/tex]
The answer is choice C. Let me know if you need any clarifications, thanks!
Write an expression for " 9 less than three times a number"
Answers
Answer: 3x - 9
Step-by-step explanation: "9 less than three times a number" does not mean 9 minus three times a number, less than actually switches the order around so that 9 less than three times a number actually means three times a number minus 1 which can be read as 3x - 9.
In a clinical trial, 780 participants suffering from high blood pressure were randomly assigned to one of three groups. Over a one-month period, the first group received a low dosage of an experimental drug, the second group received a high dosage of the drug, and the third group received a placebo. The diastolic blood pressure of each participant was measured at the beginning and at the end of the period and the change in blood pressure was recorded. Identify the levels of the factor.
Answers
Answer:
Levers of the factor are High dosage , Low dosage and Placebo.
Step-by-step explanation:
Levels of the factor refer to the number of variations of factor that are used in the experiment. The effect of the factor can be evaluated by these levels.
Here the factor is the experimental drug.
The first group received a low dosage of an experimental drug,
The second group received a high dosage of the drug,
The third group received a placebo.
It can be observed from above three statements that there are 3 levels of factor. These three levels can be used to assess the effect of the experimental drug on 780 participants suffering from high blood pressure.
The factor experimental drug has three levels that are:
High dosage
Low dosage
Placebo
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
1. x=40
2. x=15
3. x=197
4. x=39
Step-by-step explanation:
pythagorean theorem: a^2 + b^2 = c^2
c= hypotenuse
Answer:
1 is 40, 2 is 15, 3 is 197, and 4 is 89
Step-by-step explanation:
The image shows a geometric representation of the function f(x) = x2 + 2x + 3 written in standard form.What is this function written in vertex form?
Answers
Answer:
[tex]f(x) = (x+1)^2 +2[/tex]
Step-by-step explanation:
Well you complete the square and get,
[tex]x^2 + 2x + 1 ^2 - 1^2 +3[/tex]
Then you use the binomial formula to get,
(x + 1)^2 + 2
Thus,
f(x) = x^2 + 2x + 3 is f(x) = (x + 1)^2 + 2.
Hope this helps :)
Given that
[tex]v = \pi {r}^{2} h[/tex]
Make h the subject of the formula. Evaluate h when
[tex]\pi = 22 \div 7[/tex]
[tex]r = 7[/tex]
[tex]v = 616[/tex]
Answers
Answer:
h = 4Step-by-step explanation:
v = πr²h
To make h the subject divide both sides by πr²
So we have
[tex]h = \frac{v}{\pi {r}^{2} } [/tex]
when
π = 22/7
r = 7
v = 616
We have h as
[tex]h = \frac{616}{ \frac{22}{7} \times {7}^{2} } = \frac{616}{ \frac{22}{7} \times 49} [/tex]
[tex]h = \frac{616}{22 \times 7} = \frac{616}{154} [/tex]
h = 4Hope this helps you
Identify the type of observational study (cross-sectional, retrospective, or prospective) described below. A research company uses a device to record the viewing habits of about 25002500 households, and the data collected todaytoday will be used to determinenbsp the proportion of households tuned to a particular newsnews program.. Which type of observational study is described in the problem statement?
Answers
Answer:
Cross Sectional
Step-by-step explanation:
A cross sectional is one in which an association is developed between a risk factor or an outcome.
In the given question the device is used to record the viewing habits of about 2500 households, and the data collected today will be used to determine the proportion of households tuned to a particular news program. There will be risk factor in today's research with the future developed program which will the outcome.
For example there are 20 students in my class who cannot write. So I develop a program to help them write. But the next year there may not be any student who would require such help.So there's a risk factor associated with the outcome.
Cross sectional results are recorded in a two ways table showing do's and don'ts.
Complete the equation so that it is
true for no values of x (no solutions).
3x + 6 = 3 (x + _)
Answers
Answer:
Any number other than 2
Step-by-step explanation:
Well if we plug in any number other than 2 like 1 for the blank and distribute,
the right side becomes,
3x + 6 = 3x + a number other than 6
Parallel lines have the same slope but different y intercept.
Look at the image below ↓
Thus,
to make the equation have no solution the blank has to be any number other than 2.
Hope this helps :)
What is the effect on the graph of f(x) if it is changed to f(x) + 2 and f(x + 2)?
Answers
Answer:
For f(x)+2, it goes along the y axis, 2 units.
For f(x+2), it goes along the x axis, -2 untis.
Step-by-step explanation:
Given 5 colors to choose from, how many ways can we color the four unit squares of a $2\times 2$ board, given that two colorings are considered the same if one is a rotation of the other? (Note that we can use the same color for more than one square.)
Answers
Answer:
165
Step-by-step explanation:
we solve this by sum over the possible symmetry groups of the colorings.
1.If the board has 90 degree rotational symmetry, then all four squares are the same color. There are 5 such boards.
2. If the board has 180 degree rotational symmetry (but not 90 degree), then it has to be a 2-color checkerboard pattern. There are ⁵c₂=10 such boards.
All the remaining boards have no rotational symmetry. We can count these boards by taking all possible colorings, subtracting the ones counted above, and dividing by four (since each of these boards corresponds to four colorings). The result is (54−2×10−5)÷4=600÷4=150.
so, total number of boards= 5+10+150= 165.
after 15 years mary age will be fourtimes of her present age find her present age
Answers
Hi just need someone to check my amswers. Karana's mom bought her two items using a credit card. The first item cost $236, and the second item cost $384. Later, she returned both items to the store. What was the change in the amount owed to the credit card company from returning both items? A. -$148 B. $620 C. -$620 D. $148 i chose C (-620)
Answers
Answer:
$620
Step-by-step explanation:
A group of 4 friends is playing cards. The deck has 70 cards. To start the game, the dealer makes a pile of 15 cards in the center. Then she deals the remaining cards one at a time to each player until all the cards are gone. What is the greatest number of cards any player will have after all the cards are dealt?
Answers
Answer:
14 cards
Step-by-step explanation:
70 - 15 = 55
55/4 = 13.75
Therefore, the highest number of cards someone is able to get is 14.
Answer:
14
Step-by-step explanation:
add!
Find the value of
x in the triangle shown below.
Answers
Answer:
69.7° (corrected to 3 significant figures)
Step-by-step explanation:
Use the cosine formula to solve for x.
[tex]cosA=\frac{(b^2+c^2-a^2)}{2bc} \\cos x =(3.5^2+ 3.5^2 -4^2)}/[2(3.5)(3.5)]cos x =0.346939\\x=69.7[/tex]
Ginnie plans to paint a wall. She measures its height and width. She finds that she needs enough paint to cover 8 square meters. Which measurement does 8 square meters represent?
Answers
Answer:
The 8 square meters represent the product of the height by the width of the wall and therefore, its area.
Step-by-step explanation:
Ginnie is going to paint a wall and measures the height and the width, the walls are usually in the form of a rectangle or square. To find the area of both we need to multiply the height by the width (in the case of the square both are the same) and this will give us the total amount of paint that we need to paint the wall.
In this example, Ginnie finds that she needs enough paint to cover 8 square meters, therefore, these 8 square meters represent the product of the height by the width (that we don't know but it doesn't matter) of the wall and therefore, its area.
This is the graph of y = sin(x). Does anyone know the second part?
Answers
Answer:
The resulting graph is [tex]y = 5\cdot \sin x[/tex].
Step-by-step explanation:
The resulting function is of the form:
[tex]y = A\cdot \sin x + k[/tex]
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]A[/tex] - Amplitude, dimensionless.
[tex]k[/tex] - Midpoint value, dimensionless.
The sine function is bounded, between -1 and 1, and must be multiplied by a stretch factor. That is: [tex]A > 0[/tex]. According to the graph, the function is bounded between 5 ([tex]y_{max}[/tex]) and -5 ([tex]y_{min}[/tex]), and the midpoint value ([tex]k[/tex]) is 0. The amplitude is determined by the following calculation:
[tex]A = \frac{y_{max}-y_{min}}{2}[/tex]
If [tex]y_{min} = -5[/tex] and [tex]y_{max} = 5[/tex], then:
[tex]A = 5[/tex]
The resulting graph is [tex]y = 5\cdot \sin x[/tex].
Answers for whole assignment:
(starting after this question)
2) graph 2
3) Minimum: -4
Maximum: 4
Amplitude: 4
zeros: 2nd and 3rd option
4) 2nd graph
5) range of y = sin(x)?
1st one
range of y = 3sin(x)?
2nd one
range of y = –3sin(x)?
2nd one
range of y = –3sin(x) – 2?
3rd one
6) graph 1
7) graph 3
8) amplitude = 2
midline y = 4
3rd option
9) 2nd option
10) The graph of y = –2sin(x) – 1 is the graph of the parent function stretched vertically by a factor of 2, reflected over the x-axis, and shifted 1 unit down. The maximum of the parent function is 1, the minimum is –1, and the amplitude is 1. The maximum of y = –2sin(x) – 1 is 1, the minimum is –3, and the amplitude is 2.
if four boys spent 2.5 hrs to do a job, how many hrs will 5 boys spend
Answers
Answer:
2
Step-by-step explanation:
2.5/5
Answer:
2.5 hours
Step-by-step explanation:
2.5 hours = work time
4boys+5boys working together same job.
Ans: 2.5 hours.
A supermarket sells fruit snacks by the box. Each box holds x packages of strawberry snacks and y packages of cherry snacks. Nina bought 6
boxes.
Write two expressions for how many more strawberry packages than cherry packages Nina bought. Then, write what the two expressions
being equivalent means in terms of the situation.
( PLZ I NEED HELP WITH THIS !)
Answers
Answer:
The two equivalent expressions are 6(x − y) and 6x − 6y.
Step-by-step explanation:
The first expression shows subtracting the number of packages of cherry snacks from the number of packages of strawberry snacks in each box and then multiplying the difference by the number of boxes. That's the same as finding the total number of cherry snacks and subtracting it from the total number of strawberry snacks, as shown in the second expression.
Have a good day!<3
The two equivalent expressions means in terms of the situation are 6(x − y) and 6x − 6y.
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
The first expression shows subtracting the number of packages of cherry snacks from the number of packages of strawberry snacks in each box and then multiplying the difference by the number of boxes then it will be as;
6(x-y)
Now, the total number of cherry snacks and subtracting it from the total number of strawberry snacks, as shown in the second expression will be;
6x - 6y
The two equivalent expressions means in terms of the situation are 6(x − y) and 6x − 6y.
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An angle measuring 5.25 radians is equal to which of the measures given below? Check all that apply. - 300 degrees 48’ - 16.49 degrees - 16degree 24’ -300.8 degree
Answers
Answer:
300.8 degrees
Step-by-step explanation:
in a circle full angle is [tex]2\pi[/tex] radian
In degrees the value of angle is 360.
Thus
[tex]2\pi[/tex] radian is same as 360 degrees
thus
[tex]2\pi[/tex] radian= 360 degrees
dviding both side by [tex]2\pi[/tex]
[tex]2\pi[/tex] / [tex]2\pi[/tex] radian= 360/[tex]2\pi[/tex] degrees
1 radian= 360/[tex]2\pi[/tex] degrees
multiply both side by 5.25
1*5.25 radian= (360/[tex]2\pi[/tex]) * 5.25 degrees
using value of [tex]\pi[/tex] as 3.14 we have
5.25 radian= (360/2*3.14) * 5.25 degrees = 300.8 degrees