Answers
Step-by-step explanation:
3.
the left cup is the summary of 2 cylinders.
the right cup is just a cone.
the volume of a cone is
pi×r²×h/3 = pi×3.5²×6/3 = pi×12.25×2 = pi×24.5 =
= 76.93 in³
the volume of a cylinder is
pi×r²×h
the first cylinder is
pi×3²×1.5 = pi×9×1.5 = pi×13.5 = 3.14×13.5 = 42.39 in³
the second cylinder is
pi×2²×2.25 = pi×4×2.25 = pi×9 = 28.26 in³
in total the cup has
42.39 + 28.26 = 70.65 in³
so, the cone has the larger volume by 6.28 in³ ≈ 6 in³.
that would be 3.479827 fl.oz. ≈ 3 fl.oz. of water.
I have no idea on what scale you need to quantify the amount of water. I just guessed.
2.
here we need the surface area.
the object consists of a large prism (or block) and a cylinder.
we don't need the bottom area for neither, as the cylinder is simply on top of the prism, and its bottom is not going to be painted either.
we need 5 sides of the prism :
front and back
left and right
top (and we need the full top, because the area the cylinder is covering up is the same area for the top of the cylinder).
and the we need to add only the side wall of the cylinder the "mantle".
so,
front and back rectangles are 10×3 × 2 = 60 in²
left and right rectangles are 10×3 × 2 = 60 in²
the top rectangle (square) is 10×10 = 100 in²
the cylinder mantle is
circumference of the circle × height
2×pi×r×h = 2×pi×4×6 = 3.14×48 = 150.72 in²
so, in total we have
60 + 60 + 100 + 150.72 = 370.72 in² ≈ 371 in²
Answer:
Question 2: 320.48 in^2
Question 3: 6.28 in^3
Step-by-step explanation:
Question 2)
The question tells us that the shape will be covered in paint. This means that we need to find the surface area instead of volume. In the question, I’ll find the surface area of the two individual shapes (The cylinder and the rectangular prism) and take away parts that will not be covered in paint.
Rectangular Prism
1. ((10x10)+(10x3)+(10x3))x2 — All rectangular prisms have 2 sides with the same area. Since there are 6 sides total, all we need to do is find 3 sides of different sizes and multiply them by 2. The number we get is 320 in^2.
2. We will not be painting the bottom, so we can take the area of the bottom away. The area of the bottom is 10x10, which is 100. 320 - 100 is 220 in^2.
3. We are also not painting the area where the cylinder is touching the top (The circle-shaped area). The formula of finding the area of a circle is radius x radius x pi. Since the radius is 4 and pi can be rounded to 3.14, the area of the circle will be 4x4x3.14, which is 50.24 in^2. We can take that away from 220, so 220 - 20.24 is 169.76 in^2.
Cylinder
1. 4x4x3.14 — We know that one side of the cylinder (The base) will not be painted, so all we need to do is find the area of one of the bases. Radius x Radius x pi, in this case, is 50.24 in^2.
2. (((4+4)x3.14)x6) — Now we need to find the area of the side of the cylinder. The area of the side is base x height. The base length is the perimeter of the circle. The equation of the circle perimeter is (radius + radius) x pi. In numbers, it will be 8x3.14 which is 25.12. The height of the side is 6, so the equation will be 25.12 x 6, which is 150.72.
3. The surface area of the cylinder (excluding the base at the bottom) is 150.72 in^2.
Since the rectangular prism and the cylinder is stuck together and is considered as a whole, we add the two numbers together. 169.76 + 150.72 = 320.48 in^2!
Question 3)
The amount of water the cups can hold is the same size as the volume of individual cups. In order to find out the amount of water each cup can hold, we need to find the volume first.
Cup #1
1. (2x2x3.14)(2.25) — This is the base times the height of the bottom cylinder. The formula to find a circle is radius x radius x pi, and the height was 2.25. The volume of this shape will be 28.26 in^3.
2. (3x3x3.14)(1.5) — The area of the bottom is radius x radius x pi, and the height was 1.5 If we multiply all of these numbers together, we get 42.39 in^3.
3. Now that we found the two cylinders of the first cup, we can add them together. 28.26 + 42.39 = 70.65.
4. The area of cup #1 is 70.65 in^3.
Cup #2
1. (3.5 x 3.5 x 3.14)(6)(1/3) — The formula for finding the area of a cone is base x height x 1/3. The area of the base is radius x radius x pi, and the height is 6. Then we multiply by 1/3 (or divide by 3). Then, we get 76.93 in^3.
2. The volume of cup #2 is 76.93 in^3.
The question asks: How much more water will the larger cup hold?
Comparing 70.65 in^3 (First cup) and 76.93 in^3 (Second cup), we know that the second cup is bigger. To find the difference in the amount of water it can hold, we can subtract 70.65 from 76.93. This equals 6.28 in^3.
The final answer for Question 3 will be 6.28 in^3!
Related Questions
Solids X and Y are similar. X has volume of 64cm^3, Y has a volume of 729cm^3, the surface area of X is 208cm^2, work out the surface area of Y
Answers
The surface area of solid Y given the ratio of volume to surface area of solid X is 2,369.25cm²
How to solve for surface area?Volume:
Solid X = 64cm³Solid Y = 729cm³Surface area:
Solid X = 208cm²Solid Y = xRatio of volume to surface area of solid X and Y respectively
64 : 208 = 729 : x
64/208 = 729/x
cross product64 × x = 208 × 729
64x = 151,632
x = 151,632 / 64
x = 2,369.25cm²
Learn more about surface area:
https://brainly.com/question/76387
#SPJ1
What is the area of this figure?
3 cm
6 cm
3 cm
2 cm
2 cm
5 cm
8 cm
13 cm
Answers
Lance paid 6% sales tax on a $30 game. What is the total amount did Lance pay?
Answers
Answer:
The answer is attached.
is 10 times as much as 20 1/10 of 2,000?
Answers
Answer:
IT IS 43./45455/.34 LIKE WHEN U ADD 10 TIMES 10 AND DIVIDED 2,000 FROM 20 U THAT ANSWER
SOMEONE PLEASE HELP ME I WILL LOVE YOU FORVER
Answers
Answer:
A. OEO, EOE, EEE, EEO, OOE, OEE
A (probability). [tex]\frac{3}{4}[/tex]
B. OEO, EOE
B (probability). [tex]\frac{1}{4}[/tex]
C. EOE, EEE, OOE, OEE
C (probability). [tex]\frac{1}{2}[/tex]
hope this helps:)
Answer:
A. OEO, EOE, EEE, EEO, ------- (probability). 3/4
B. OEO, EOE ------(probability). 1/4
C- EOE --------------(probability). 1/4 aswell
Step-by-step explanation:
Sorry it took so long
I hope this helps C:
need some help!
please be specific on how to do it
Answers
Answer:
Your first step in solving the system would be to substitute the value of a variable into one of the equations
Step-by-step explanation:
We know that x = 2y + 2 and y = -1/3x + 4, so we could insert one of these values as the variable in one of the equations
If we were to insert -1/3x + 4 for y, our new equation would be:
x = 2(-1/3x + 4) + 2 (as you can see, the value of y was inserted into the equation)
PLEASE HELP ILL GUVE EXTRA POINTS PLEASE!!!
Answers
Answer:
[tex]\boxed{\bf 7 \times 10 {}^{ - 3}} [/tex]
Step-by-step explanation:
[tex] \cfrac{6.3}{9} \times \dfrac {10 ^{ - 5} }{10 {}^{ - 3} }[/tex][tex]0.7 \times \cfrac{10 {}^{ - 5} }{10 {}^{ - 3} } [/tex][tex]0.7 \times 10 { }^{ - 5 - 3 \times - 1} [/tex][tex]0.7 \times 10 {}^{ - 5 + 3} [/tex][tex]0.7 \times 10 { }^{ - 2} [/tex]Write 0.7 *10^-2 into scientific notation:
[tex]7 \times 10 {}^{ - 3} [/tex]Hope this helps! ^^"
Answer:
[tex]7 \times 10^{-3}[/tex]
Step-by-step explanation:
[tex]\begin{aligned}\dfrac{6.3 \times 10^{-5}}{9 \times 10^{-3}} & =\dfrac{6.3}{9} \times \dfrac{10^{-5}}{10^{-3}}\\\\& = 0.7 \times \dfrac{10^{-5}}{10^{-3}}\end{aligned}[/tex]
[tex]\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]
[tex]\begin{aligned}\implies 0.7 \times \dfrac{10^{-5}}{10^{-3}} &=0.7 \times 10^{-5-(-3)}\\& = 0.7 \times 10^{-2}\end{aligned}[/tex]
[tex]\textsf{Rewrite}\:0.7\:\textsf{as}\: 7 \times 10^{-1}:[/tex]
[tex]\implies 0.7 \times 10^{-2}=7 \times 10^{-1} \times 10^{-2}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \times a^c=a^{bc}:[/tex]
[tex]\implies 7 \times 10^{-1} \times 10^{-2}=7 \times 10^{-3}[/tex]
Which unit would probably be used to measure how long a cell phone is?
Answers
Answer:
Mostly millimeter
Step-by-step explanation:
Length has several unit like m,cm, mm, feet, miles, inches, km etc
we measure the length in units which is more understandable or readable. like thickness of mobile is around 3mm to 1cm or we can even measure in inches like .5inch but if we measure it in meter or feet it will be difficult to understand, read and write similarly the unit of length most suitable for measuring the height of a backyard tree is meter or feet because the length of tree is around 10 feet to 25 feet or 2meter to 6meter if we measure the length in cm or mm or in inches then it will be difficult to understand, read and write.
Question is in the picture (I got it wrong)
Answers
Answer:
(B) 38.4 m³
Step-by-step explanation:
The volume of a prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the height.
__
The picture tells you the area of the pool is 24 m² and its height is 1.6 m. The volume formula tells you its volume is ...
V = Bh = (24 m²)(1.6 m) = 38.4 m³
The volume of the prism is 38.4 cubic meters.
What is the solution to this equation?
log4(x^2+1)= log4 (-2x)
A.no solution
B.x = 1
C.x = -1
D. X=2
Answers
Answer:
C. x = -1
Step-by-step explanation:
Here :
log 4 (x² + 1) = log 4 (-2x)
Then :
x² + 1 = -2x
x² + 2x + 1 = 0
(x + 1)² = 0
x + 1 = 0
x = -1
Write each expression using a single exponent x^9/x^2
Answers
Answer:
[tex]x^{7}[/tex]
Step-by-step explanation:
using the rule of exponents
[tex]\frac{a^{m} }{^{a^{n} } }[/tex] = [tex]a^{(m-n)}[/tex] , then
[tex]\frac{x^{9} }{x^2}[/tex] = [tex]x^{(9-2)}[/tex] = [tex]x^{7}[/tex]
The expression (x⁹)/(x²) in single exponent is x⁷.
To write the expression (x⁹)/(x²) using a single exponent
we can apply the exponent rule for division, which states that when dividing two exponential expressions with the same base, we subtract the exponents:
[tex]\frac{a^m}{a^n}=a^m^-^n[/tex]
(x⁹)/(x²)
= x⁹⁻²
= x⁷
Therefore, the expression (x⁹)/(x²) can be simplified to x⁷.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ6
What is a simpler form of the expression?
(4k + 5)(3k^2 - 4k - 4)
Answers
Answer:
[tex]12k^3 -k^2-36k-20[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex](4k + 5)(3k^2 - 4k - 4)[/tex]
[tex](4k * 3k^2)+(4k*-4k)+(4k*-4)+(5*3k^2)+(5*-4k)+(5*-4)[/tex]
[tex]12k^3-16k^2-16k+15k^2-20k-20[/tex]
Step 2: Combine like terms
[tex]12k^3+(-16k^2+15k^2)+(-16k-20k)-20[/tex]
[tex]12k^3 -k^2-36k-20[/tex]
Answer: [tex]12k^3 -k^2-36k-20[/tex]
in veronica's neighborhood the ratio of cats to dogs is 3 to 4. if there are 28 dogs, how many cats are there
Answers
Answer:
21 cats!
Step-by-step explanation:
the ratio is 3:4
4 being dogs - 28/4 = 7 - 7 * 3 = 21
hope this helps!!! <3
E
Describe the transformation that maps figure RSTU onto figure RSTU
611
6
4
S
U
S2
R
E
R
6-4-2 O
2
4
6
Drag the labels to explain your answer. Labels may be used once more than once, or not at all
Figure RSTU is the image of figure RSTU after a translation
units left and
units down, and a reflection across
the
#1
.: 2
14
+ X-axis
- y-axis
Answers
Answer:
8 then 2 and reflection on y axes
Which function has the smallest x-intercept value, if it exists? f(x) = 3x – 9 f(x) = x2
Answers
The quadratic function f(x) = x² has the smallest x-intercept value in comparison with the linear function f(x) = 3 · x - 9, which is located at x = 0.
How to determine the x-intercept of a polynomic function
x-intercept is the point of a function that goes through the x-axis. Quadratic functions have at most two x-intercepts and linear functions have always one x-intercept.
In both expressions those intercepts are found by solving expression for x when y is equal to zero. In this question we must determine the smallest x-intercept value from one of the two polynomic functions:
a) f(x) = 3 · x - 9
3 · x - 9 = 0
x = 3
b) f(x) = x²
x² = 0
x = 0
The quadratic function f(x) = x² has the smallest x-intercept value in comparison with the linear function f(x) = 3 · x - 9, which is located at x = 0.
To learn more on intercepts: https://brainly.com/question/14180189
#SPJ4
please help me I will give brainliest
Answers
Answer:
potential to kinetic energy
A 5kg sample of plutonium-239 has a half-life of 21,400 years by emitting a 5.157 mev (million or mega electron volts) alpha particles. assume that the rate of decay is constant, how long will it take for the sample to degrade to 4.5kg?
Answers
Using an exponential function, it is found that it will take 3,252 years for the sample to degrade to 4.5kg.
What is the exponential function for the amount of a substance?It is given by:
[tex]A(t) = Pe^{-kt}[/tex]
In which:
P is the initial amount. k is the decay rate, as a decimal.The half-life is of 21,400 years, hence, A(21400) = 0.5P, and this is used to find k.
[tex]A(t) = Pe^{-kt}[/tex]
[tex]0.5P = Pe^{-21400k}[/tex]
[tex]e^{-21400k} = 0.5[/tex]
[tex]\ln{e^{-21400k}} = \ln{0.5}[/tex]
[tex]-21400k = \ln{0.5}[/tex]
[tex]k = -\frac{\ln{0.5}}{21400}}[/tex]
k = -0.00003239005
Hence, considering the initial mass is of P = 5 kg, the amount after t years is given by:
[tex]A(t) = 5e^{-0.00003239005t}[/tex]
The amount will be of 4.5 kg at t for which A(t) = 4.5, hence:
[tex]4.5 = 5e^{-0.00003239005t}[/tex]
[tex]e^{-0.00003239005t} = 0.9[/tex]
[tex]\ln{e^{-0.00003239005t}} = \ln{0.9}[/tex]
[tex]-0.00003239005t = \ln{0.9}[/tex]
[tex]t = -\frac{\ln{0.9}}{0.00003239005}[/tex]
t = 3252.
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
Does anybody know this? I keep getting the wrong answer. ABC~PRT AC=15 BC=12 and PT=6 find the ares of ABC if the area of PRT=24mm^2
Answers
Answer:
The area of triangle ABC is 60 mm^2
Step-by-step explanation:
x = the area of triangle ABC
15/6 * x/24
x=60
Answer:
(d) 150 mm²
Step-by-step explanation:
The scale factor between the triangles is the ratio of the lengths of corresponding sides. The area ratio is the square of the scale factor.
__
scale factorΔABC is larger than ΔPRT by the factor ...
AC/PT = 15/6 = 5/2
areaThe area of ΔABC is the square of this factor times the area of ΔPRT:
area ABC = (5/2)²×area PRT
area ABC = (25/4)×(24 mm²)
area ABC = 150 mm²
5x - 8y = - 17
y + 5 = 3x
To answer please type altogether with no spaces. For example if your answer is negative three positive four, type (-3,4)
Answers
Answer:
5x - 8y =17
y+5 =3x
Answer | (3,4)
Step-by-step explanation:
I used a calculator
Question 3 of 10
A student performed the following steps to find the solution to the equation
x2 + 4x - 12 -0. Where did the student go wrong?
Step 1. Factor the polynomial into (x+6) and (x-2)
Step 2. x-6 = 0 and x + 2 = 0
Step 3. X = 6 and x = -2
O A. in Step 2
B. in Step 1
O C. in Step 3
D. The student did not make any mistakes, the solution is correct
Answers
Answer:
A) in Step 2
Step-by-step explanation:
Notice that x+6 and x-2 are factors of the expression, and they must be set equal to 0. The correct step would be x+6=0 and x-2=0. This student used the incorrect signs for the factors.
Find the next two terms of the sequence 10, -11, -32, .
Answers
Answer:
B
Step-by-step explanation:
Answer: A
Step-by-step explanation:
Because.....
-11 - 10 = -21
-32 - (-11) = -21
This tells us that the sequence is adding by -21, which is why the next 2 terms will be -53 and - 74 since....
-32 + -21 = -53
-53 + -21 = - 74
Hence, the answer is A.
For a project in his Geometry class, Fwam uses a mirror on the ground to measure the height of his school building. He walks a distance of 7.15 meters from the building, then places a mirror flat on the ground, marked with an X at the center. He then walks 2.45 more meters past the mirror, so that when he turns around and looks down at the mirror, he can see the top of the school clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.55 meters. How tall is the school
Answers
Answer:
2106 m
Step-by-step explanation:
Ineed answers for this math review
Answers
Find the perimeters of all the figures. = ADD all four sides of shape.
(Length + Width + Height + Base)
40) through: (-5, 2), slope
1
5
Answers
Answer:
y = 1/5x + 3
Step-by-step explanation:
y = mx + b
m: slope = 1/5
b: y - intercept
(x, y): (-5, 2)
2 = 1/5(-5) + b
2 = -1 + b
add 1 to both sides to get b alone
2 + 1 = -1 + b + 1
3 = b
A quantity h varies directly with w and inversely with p. when w = 4 and p = 6, h = 2. what is the constant of variation? one-twelfth four-thirds 3 12
Answers
The value of the constant of variation is 3. The correct option is the third option- 3
VariationFrom the question, we are to determine the constant of variation.
Let the constant of variation be k
From the give information,
A quantity h varies directly with w and inversely with p
That is,
[tex]h \propto \frac{w}{p}[/tex]
Introducing the constant of variation, k, we get
[tex]h = k\frac{w}{p}[/tex]
Also, from the give information,
w = 4
p = 6
h = 2
Putting the parameters into the relation, we get
[tex]2 = k \times \frac{4}{6}[/tex]
[tex]6\times 2 = 4k[/tex]
[tex]k = \frac{6\times 2}{4}[/tex]
k = 3
Hence, the value of the constant of variation is 3. The correct option is the third option- 3
Lear more on Constant of variation here: https://brainly.com/question/1831771
#SPJ4
Answer:
Answer is 3
Step-by-step explanation:
~Hope this helps!
Can you help me plesae !?
Answers
Answer: Heyaa! ~
Your Answer is... 26.8
Step-by-step explanation:
The estimated answer is D. 27!
Hopefully this helps you! ^^
Answer:
27
Step-by-step explanation:
12.18 + 14.62= 26.80
if the number after the point is greater than 5 or equal to 5, we will add 1 to the number before the point, so now the number is 8 we will add 1 to the number before the point
26+1=27
therefore the sum of 12.18+14.62 = 27
PLEASE HELP THIS IS WORTH 100 POINTS
You will not be writing a complete argumentative essay.
Topic question: Should violent video games be banned?
Instructions: You will organize an argument for banning violence from teens’ video games because violent video games are harmful. Read the evidence below and then organize your argument. (Copy and paste the outline below into the feedback box and add your information.)
Argument Organizer
Claim:
In your own words
Reason 1:
In your own words
Support for Reason 1:
Quote from the evidence below
Reason 2:
In your own words
Support for Reason 2:
Quote from the evidence below
Counterclaim:
What is the opposing point of view
Rebuttal Support:
Quote from the evidence below
Conclusion Clincher:
Negative effects that will occur if your readers do not follow your claim
____________________________________
EVIDENCE 1
Negative Effects of Violent Video Games
In studies conducted by neuroscientists, it was found that teens who regularly play violent video games have lower rates of success in school than teens who do not play violent video games. The same parents who ban violent televisions shows from being watched in their homes must also be careful about the types of video games their teens play. Teens love their games, but their future is at stake.
____________________________________
EVIDENCE 2
Negative Effects of Violent Video Games
Fights among best friends and disagreements with peers are a natural part of a teen's daily life, but studies have consistently shown that teens who play violent video games on a regular basis are more aggressive with peers than teens who do not play these games. Is society willing to ban these violent games to support teen relationships?
Excerpt from "Adolescent Health Sociology Journal
____________________________________
EVIDENCE 3
Negative Effects of Violent Video Games
A study conducted by teen psychologists found that teens who regularly play violent video games are more prone to having fights and confrontations with adults at home, school and work. Teens want the freedom to play games of their choice, but they need to be aware of the dangers.
Study by Anderson, Gentile and Buckley (2007)
Answers
Based on the information above, the main argument of this paper is that violent video games should be banned for teenagers because they have negative effects on their behavior.
What statements stand out from the excerpts?The excerpts focus on two main arguments which are:
Teens who play violent video games are more aggressive.Teens who play violent video games tend to have more fights with their friends and family.According to the above, the claims and arguments would be as follows:
Learn more about claims in: https://brainly.com/question/22898077
#SPJ1
The triangles are similar. Find the missing measure.
Answers
Step-by-step explanation:
Triangle MŇO is congruent to Triangle UŤS
NO=4
MN=4
MO=5.6( Which is 140% bigger than 4)
UT=10
TS=10(Therefore this also should be 10)
US=14(Which is 140% bigger than 10)
I think this is the solution but I am not 100% sure
Answer:
x=14
Step-by-step explanation:
Match each graph on the left with the functions on the right.
Answers
The correct answer to match the graph is 1 ⇒C, 2⇒ D 4 ⇒B 3⇒ A respectively.
What is the definition of a linear equation?
It is described as a relationship between two variables that results in a straight line if the graph of the linear equation is plotted.
When just one variable is involved in a linear equation, the equation is referred to as a linear equation in one variable.
The four graph are attached in the attachment.
Hence,the correct answer to match the graph is 1 ⇒C, 2⇒ D 4 ⇒B 3⇒ A respectively.
Learn more about the linear equation refer;
brainly.com/question/11897796
#SPJ1
1. Jessica drove 345 miles on
Friday. To the nearest 100,
about how many miles did she
drive?
Answers
Answer:
To the nearest 100 miles, Jessica drove about 300 miles since we haven't reached 350 miles. If we have a number that is greater than 350 miles than we would've rounded it up to 400 but since ours is less than that we round down to the nearest hundred which is 300 miles.