Mike used a rectangular prism and two cubes to create a model bench for his class project as shown below.
What is the surface area of the model bench?
A. 850 sq in
B. 800 sq in
C. 750 sq in
D. 700 sq in
Answers
top section 2(5*25 + 5*25 + 5*5) = 550
lower part = 2(5*5 + 5*5 + 5*5) = 150
150 + 150 + 550 = 850
answer is A
Related Questions
about 45 of every 300 apples are picked at the Newberry apple orchard are rotten if 3560 apples were picked one week about how many apples rotten
Answers
x = 3560*(45/300) = 534
At the same rate, about 534 rotten apples can be expected in the week's pickings.
Is Sylvia buys 5 shirts for $75 a unit rate?
Answers
I believe you are finding the total cost of 5 shirts given the unit rate. To compute for the total cost, you have to multiply the unit rate to the number of shirts bought:
5 shirts x $75 unit rate = $375
Therefore, Sylvia will spend $375 to buy 5 shirts.
In parallelogram RSTU, SW=4 cm, WT=6 cm, RS=5 cm, And ST=7 cm what is the length of line segment WU
Answers
The length of line segment WU is 4 cm.
Hence, 4 cm is correct.
What is Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
Now, As given that, RSTU is an parallelogram.
RT and SU are its two diagonals.
They intersect each other at point W.
Properties of parallelogram is that they bisect each other.
i.e SW = WU and RW = WT
As given that, SW = 4 cm.
So, WU = SW = 4 cm
Therefore, the length of line segment WU is 4 cm.
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whats a square root?
Answers
Here is your answer:
Ill give you examples:
___
9
3 would be your square root because 3*3=9:
__
36
6 would be your square root because 6*6=36
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
EX:
4 squared is 16
4 x 4 = 16
Have a nice day! :D
Do the table and the equation represent the same function?
y = 115 + 32(x)
0 115
2 179
4 243
6 307
8 371
Answers
The table values increase by 64 for each increase of 2 in x-value. That corresponds to the slope (32) of the equation.
Yes, the equation and the table represent the same function.
After plugging the x-values from the table into the equation y = 115 + 32(x) and finding matching results with the y-values in the table, it is clear that the table and equation represent the same function.
To determine if the table and the equation y = 115 + 32(x) represent the same function, we can plug the x-values from the table into the equation and see if the resulting y-values match those provided in the table.
For x = 0: y = 115 + 32(0) = 115, which matches the table.For x = 2: y = 115 + 32(2) = 115 + 64 = 179, which matches the table.For x = 4: y = 115 + 32(4) = 115 + 128 = 243, which matches the table.For x = 6: y = 115 + 32(6) = 115 + 192 = 307, which matches the table.For x = 8: y = 115 + 32(8) = 115 + 256 = 371, which matches the table.Since the y-values for all listed x-values in the table correspond exactly to those calculated using the equation, it is evident that the table and the equation do indeed represent the same function.
Help please!!!!!!!!!!!!!
Answers
You decide to make a beanbag in the shape of a sphere with a diameter of 120 millimeters. You will need to find the volume to know how many beans to put in the bag. What is the volume?
Answers
V=4/3 π r³
The radius can be found by diving the diameter by 2:
r=d/2
r=120/2
r=60
Now plug this into the formula:
V=4/3 π (60)³
V=288000π mm³ or 904778.684 mm³
What is 1/4 written as a percent
Answers
Hope this helps!
Nivea lost her cell phone somewhere in her 7500 square foot house. Her mother tells her there is a 16% chance that the phone is in the game room.
a. Find the probability (as a fraction) that the phone is in the game room.
b. what is the area of the game room?
Answers
B. 7500 x 4/25 = 1200 sq.ft
A vehicle travels a distance of 5t4 − 10t2 + 6 miles in t + 2 minutes.
The vehicle's speed is __________miles/minute.
Answers
Answer:
Speed of the vehicle=[tex]\frac{5t^{4}-10t^{2}+6}{t+2}miles/min[/tex]
Step-by-step explanation:
Given that,
Distance traveled by the vehicle = 5t⁴ - 10t² + 6 miles
time = t + 2 minutes
We need to find the speed of vehicle. Use the formula of speed is:
[tex]Speed=\frac{Dstance}{Tme}[/tex]
[tex]Speed=\frac{5t^{4}-10t^{2}+6}{t+2}[/tex]
So, speed of the vehicle=[tex]\frac{5t^{4}-10t^{2}+6}{t+2}[/tex]
That's the final answer.
Answer:
The speed is 5t^3 - 10t^2 + 10t - 20 + 46/(t+2) miles per minute.
Helppppppppppppppppppppp
Answers
Finding the composition for 1st option:
[tex](fof)(x) = f(f(x))= \frac{ \frac{x-1}{x+5}-1 }{ \frac{x-1}{x+5}+5 } \\ \\ = \frac{ \frac{x-1-x-5}{x+5} }{ \frac{x-1+5x+25}{x+5} } \\ \\ = \frac{-6}{6x+24} \\ \\ = \frac{1}{x+4} [/tex]
Since the composition of the function with itself is not x, the function and its inverse are not the same.
Similarly, we can find the compositions of next 3 functions with themselves. The results of compositions are listed below:
(gog)(x)=g(g(x)) = x
(hoh)(x)=h(h(x))=[tex] \frac{4x-3}{7-x} [/tex]
(kok)(x)=k(k(x))= x
Thus the option 2 and 4 are the correct answers i.e. these functions are the same as their inverse functions.
The place value of the 3 in 27.4359 is _____.
Answers
The place value of the '3' in 27.4359 is in the tenths place, and therefore its value is 0.3. The position of the '3' relative to the decimal point determines its place value.
Explanation:The place value of the '3' in 27.4359 is determined by its position relative to the decimal point. In this example, the '3' is located in the first space to the right of the decimal point, which represents the tenths place.
So, the value of the '3' in this decimal is three-tenths, or 0.3. Looking at other numbers for comparison, consider 0.00347. Here, the '3' is three places to the right of the decimal, but the place value would be significantly lower, as it is in the thousandths place.
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To find a power series for the function, centered at 0. f(x) = 18 (x + 1)3
Answers
joey's little sister must take four steps for every three steps joey takes. suppose one step of joey's covers one foot. how many feet would his sister
Answers
3 times 4 is 12 so 4 times 4 is 16
uour gamer unstopableboy21
Joey's sister takes 0.75 foot for each step she takes since she takes four steps for every three of Joey's, and Joey's step is 1 foot.
The question revolves around a ratio of steps taken by Joey and his sister. Since Joey's one step covers one foot and his sister takes four steps for his three, we need to determine how many feet his sister covers for each of Joey's steps. Let's use a ratio to figure this out.
First, we establish the ratio of steps: for every 3 steps Joey takes, his sister takes 4. If Joey's 3 steps equal 3 feet (because 1 step = 1 foot), we then find the length of his sister's step compared to his. We divide the 3 feet by Joey's 3 steps to find that each step Joey takes is 1 foot long. Then, we calculate his sister's step length in feet by dividing the 3 feet by 4 (since she takes 4 steps to his 3), which equals 0.75 foot per step for his sister.
So, for each of Joey's steps being 1 foot, his sister's step would be 0.75 foot. Therefore, Joey's sister covers 0.75 foot for each step she takes.
plz help me ill give you brainlest
Answers
b) 47/100 +50/100 = (47+50)/100 = 97/100
Give two examples of items that weigh less than 1 ounce and two examples of items that weigh more than 1 ton.
Answers
Both
- feathers
- pencils
weigh less than an ounce, while
- elephants
- cars
- trucks
all weigh more than a ton.
Hope this helps!
What would be the slope of the line perpendicular to the line 4x + 2y = 12?
Answers
Make y the subject:
4x + 2y = 12
2y = -4x + 12
y = -2x + 6
From the equation, we can identify that the slope is -2
Therefore the perpendicular slope will be 1/2
Final answer:
The slope of the line perpendicular to the line 4x + 2y = 12 is the negative reciprocal of the original line's slope, which in this case is 0.5 or 1/2.
Explanation:
The slope of a line perpendicular to another line is the negative reciprocal of the original line's slope. To find the slope of the line perpendicular to the line 4x + 2y = 12, we first need to rewrite the given equation in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.
First, we solve for y:
4x + 2y = 12
2y = -4x + 12
y = -2x + 6
From the equation y = -2x + 6, we can see that the slope (m) is -2. The slope of the perpendicular line will be the negative reciprocal of -2, which is ½ or 0.5. Therefore, the slope of the line perpendicular to the line 4x + 2y = 12 is ½.
PLEASE HELP WILL GIVE BRAINLIEST ******* Lucy made tables of values to approximate the solution to a system of equations.
Answers
Answer:(1.6,1.3)
Step-by-step explanation:
I need help please ASAP and I will mark branlist
Answers
8- C
I’m pretty sure please don’t hurt me if I’m wrong
A prism with a base area of 5 ft² and a height of 10 ft is dilated by a factor of 6/5 . What is the volume of the dilated prism? Enter your answer, as a decimal, in the box.
Answers
V1=HxB
V1 is the original volume of the prism.
H is the height of the prism (H=10 ft).
B is the base are of the prism (B=5 ft2)
So, the original volume is:
V1=HxB
V1=(10 ft)(5 ft2)
V1=50 ft2
When the prism is dilated by a factor of 6/5, its volume is:
V2=(V1)*(6/5)^3
V2=(50 ft³)*(6/5)^3
V2= 86.4 ft³
What is the volume of the dilated prism?
The answer is: 86.4 ft³
Step [tex]1[/tex]
Find the volume of the original prism
we know that
the volume of the prism is equal to
[tex]V=Bh[/tex]
where
B is the area of the base of the prism
h is the height of the prism
in this problem we have
[tex]B=5\ ft^{2}\\h=10\ ft[/tex]
substitute in the formula of volume
[tex]V=5*10=50\ ft^{3}[/tex]
Step [tex]2[/tex]
Find the volume of the dilated prism
we know that
[tex]volume\ of\ the\ dilated\ prism=[scale\ factor^{3}]*volume\ of\ the\ original\ prism[/tex]
we have
[tex]scale\ factor=\frac{6}{5}[/tex]
[tex]volume\ of\ the\ original\ prism=50\ ft^{3}[/tex]
substitute the values
[tex]volume\ of\ the\ dilated\ prism=(\frac{6}{5})^{3}*50[/tex]
[tex]volume\ of\ the\ dilated\ prism=1.728*50\\ \\volume\ of\ the\ dilated\ prism=86.4\ ft^{3}[/tex]
therefore
the answer is
the volume of the dilated prism is [tex]86.4\ ft^{3}[/tex]
Which of the following equations will produce the graph shown?
A. x^2= 8y
B. x-1/8y^2= 0
C. y=1/2x^2
D. x^2= -8y
Answers
the points (0;0) and (2;2) belong to the curve. Using the coordinates of these points it is possible to calculate the equation.
[tex]y= \frac{1}{2}x^2;[/tex]
Answer:
Step-by-step explanation:
A number z is fewer than 34.
Answers
Final answer:
The letter 'z' in mathematics can refer to various concepts including complex numbers with arguments measured in degrees, z-scores in statistics indicating deviation from the mean, and as a variable within equations and inequalities.
Explanation:
The concept of 'z' seems to refer to multiple mathematical contexts, including complex numbers, z-scores in statistics, and equations involving z. Specific examples from the information provided include:
Complex numbers where z's argument could be positive or negative, and use of degrees in the context of a circle's 360 degrees showing that -30 and 330 degrees represent the same angle.
The z-score, which measures how many standard deviations a data point is from the mean in statistics, such as z = -4 indicating a data point four standard deviations to the left of the mean.
Equations where z is a variable representing a number, which could be within a certain range or satisfying a given condition.
Understanding these uses of z in the mathematical context allows for precise interpretation of equations, probabilities, and analyses of data sets.
The inequality that represents the statement "A number z is fewer than 34." is: z < 3/4.
How to express the inequality?
The inequality that represents the word sentence "A number z is fewer than 3/4" is z < 3/4.
To explain this, we can compare z to 3/4. If z is smaller than 3/4, we can use the less than symbol (<) to represent this relationship.
So, the inequality is z < 3/4.
For example, if z is 1/2, which is smaller than 3/4, the inequality holds true: 1/2 < 3/4.
Complete question is:
Write the word sentences as an inequality.
A number z is fewer than 3/4.
An inequality that represent this word sentences is?
Let us take as a given that x is normally distributed with a mean of 8.5 and a standard deviation of 2, what is p(x ≤ 6)? note: round your answer, if necessary, to two places after the decimal. please express your answer with two places after the decimal.
Answers
an im mperative sentence A. asks a question B. make a request C. make a statement D. show emotion.
Answers
An imperative sentence is used to give a direct command to something/someone, give instructions, offer advice, or to make a request. It ends with either a period or an exclamation mark.
The correct answer is B. Make a request.
Stefan is measuring the angles of a triangle. He measures the first angle and gets a measure of 80° What does he know about the other two angles? A) They are each 50°. B) Their measures should add up to be 100°. C) Their measures should add up to be 280°. D) He doesn't know anything about the other two angles.
Answers
The answer is (B) Their measures should add up to be 100°.
Step-by-step explanation:We know that the sum of all angles of a triangle is equal to 180 degrees. Stefan has calculated the first angle and it came out to be 80 degrees. So the other two angles must be equal to 100 in order to complete the total measurement of triangle angles which is 180.
A veterinary clinic plans to build four identical dog kennels along the side of its building using 210 feet of fencing. (See the picture.) What should be the dimensions of each kennel to maximize the enclosed area? (Note: No fencing is needed along the side of the building.)
Answers
Each of the 4 kennels is (105/4)' long by (105/5)' wide, that is ...
.. 26.25 ft long by 21 ft wide.
_____
Let x represent the length of fence used parallel to the building. Then the total area is
.. A = x*(210 -x)/5
This is the equation of a parabola with its vertex at x=105, halfway between the zeros at x=0 and x=210.
Final answer:
To maximize the enclosed area, each kennel should be in the shape of a square with dimensions of 52.5 feet by 52.5 feet.
Explanation:
To maximize the enclosed area, each kennel should be in the shape of a square. Let's assume that each side of the square kennel has a length of x feet.
Each kennel has four sides, so the total length of fencing required for all four kennels is 4x feet.
Given that there are 210 feet of fencing available, we can set up the equation 4x = 210 and solve for x to find the length of each side of the square kennel.
Dividing both sides of the equation by 4, we get x = 52.5 feet.
Therefore, each kennel should have dimensions of 52.5 feet by 52.5 feet to maximize the enclosed area.
Yi and Sue play a game. They start with the number $42000$. Yi divides by a prime number, then passes the quotient to Sue. Then Sue divides this quotient by a prime number and passes the result back to Yi, and they continue taking turns in this way.
For example, Yi could start by dividing $42000$ by $3$. In this case, he would pass Sue the number $14000$. Then Sue could divide by $7$ and pass Yi the number $2000$, and so on.
The players are not allowed to produce a quotient that isn't an integer. Eventually, someone is forced to produce a quotient of $1$, and that player loses. For example, if a player receives the number $3$, then the only prime number (s)he can possibly divide by is $3$, and this forces that player to lose.
Who must win this game, and why? Explain your reasoning in complete sentences. (Don't just show one example of how the game could go. Instead, explain why the same player must always win, no matter what strategy either player tries to use!)
Answers
The player who plays 9th will lose. If only 2 people are playing, that is the person who takes the first turn. The second player in a 2-person game with this starting number will always win.
At the beginning of a call to the cable company, a message tells customers, “After you finish talking to our customer service representative, you will be asked to take a five-question survey about the level of service you received. It would be appreciated if you could please stay on the line to answer the survey questions.” What type of sampling is the cable company using? systematic random sampling voluntary sampling cluster sampling convenience sampling
Answers
Answer:
voluntary sampling
Step-by-step explanation:
Voluntary sampling involves someone opting to be a part of the sample. In this situation, customers are given the option to stay on the line to answer a survey; this means it is on a voluntary basis. Thus it is a voluntary sample.
The type of sampling is the cable company using is convenience sampling.
Why do we do sampling?
We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.
Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.
Thus, the sample should be taken out such that it includes data of the population as much as it can in unbiased way so as to imitate population.
We are given that;
The cable company is using convenience sampling.
Convenience sampling involves selecting individuals who are convenient or readily available to participate in the study. In this case, the cable company is selecting individuals who call their customer service and happen to complete their call with a customer service representative. The individuals are not selected based on any specific criteria or randomly selected, but rather because they happen to call the cable company and complete a customer service call.
As the message specifically invites customers to stay on the line to answer the survey questions, it can also be considered a form of voluntary sampling, where individuals are invited to participate in a study and can choose whether or not to participate.
Therefore, by sampling the answer will be convenience sampling.
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are the solutions of the quadric x^2 -7x+4
Answers
[tex] x^{2} -7x+4[/tex]
This quadratic equation cannot be factored, so we must use the Quadratic Formula to solve it. The Quadratic Formula: [tex] \frac{-b \sqrt{ b^{2}-4ac } }{2a} [/tex].
Here, a = 1, b = -7, and c = 4; let's plug in our values and solve.
[tex] \frac{-7 \sqrt{ (-7)^{2}-4(1)(4) } }{2(1)} [/tex]
[tex] \frac{-7 \sqrt{49-16} }{2} [/tex]
[tex] \frac{-7 \sqrt{33} }{2} [/tex]
[tex] \frac{-7+5.7446}{2}[/tex]
or
[tex] \frac{-7-5.7446}{2} [/tex]
[tex]3.5 +2.8723 or 3.5 - 2.8723[/tex]
Answer:
x = 6.37 or x = 0.63
a rectangle has an area of 156 square inches and a perimeter of 50 in what are the width and the length of the rectangle
Answers
L = 12 inches
P = 2(l+w) and L=P/2 - w=50/2 - 13 = 12
Final answer:
To find the length and width of the rectangle with an area of 156 square inches and a perimeter of 50 inches, we can set up and solve a system of equations based on the area and perimeter formulas. After solving, we determine that the length is 13 inches and the width is 12 inches.
Explanation:
The student has asked to find the length and width of a rectangle given that it has an area of 156 square inches and a perimeter of 50 inches. To solve this problem, we need to use the formulas for the area and perimeter of a rectangle.
Area and Perimeter Formulas
Area formula: A = length × width
Perimeter formula: P = 2(length + width)
Let's denote the length as 'l' and the width as 'w'. The area of the rectangle is 156, so we can write:
l × w = 156
The perimeter of the rectangle is 50, so we can write the perimeter formula as:
2(l + w) = 50
This simplifies to:
l + w = 25
Now, we have two equations:
l × w = 156
l + w = 25
We can solve this system of equations by expressing one variable in terms of another. Let's express 'w' in terms of 'l' from the second equation:
w = 25 - l
Now, substitute 'w' in the area equation:
l × (25 - l) = 156
This is a quadratic equation that can be solved to find the values of 'l'. Once we have 'l', we can find 'w' using the second equation.
After solving, we find that the length is 13 inches and the width is 12 inches. Therefore, the rectangle's dimensions are 13 inches by 12 inches.