Answers
Step-by-step explanation:
volume= l×w×h
1.1/3×1/2×2/3
=1/9
2. 3/4×1/8×13/16
=39/512
3. 1/12×7/8×1/4
=7/384
4. 3/2×1/7×7/8
=3/16
5. 1/5×9/10×2/3
=3/25
6.6/7×7/8×1/2
=3/8
Volume = w * h * l
1) V = 1/9 ft^3
Height (h) = 1/2 ft
Length (l) = 2/3 ft
Width (w) = 1/3 ft
Therefore,
= w * h * l
= 1/3 * 1/2 * 2/3
= 1/6 * 2/3
= 2/18
=> 1/9
Volume = 1/9 ft^3
2) V = 39/512 in^3
Height (h) = 13/16 in
Length (l) = 3/4 in
Width (w) = 1/8 in
Therefore,
= w * h * l
= 1/8 * 13/16 * 3/4
= 13/128 * 3/4
=> 39/512
Volume = 39/512 in^3
3) V = 7/384 cm^3
Height (h) = 1/12 cm
Length (l) = 7/8 cm
Width (w) = 1/4 cm
Therefore,
= w * h * l
= 1/4 * 1/12 * 7/8
= 1/48 * 7/8
=> 7/384
Volume = 7/384 cm^3
4) V = 1/12 cm^3
Height (h) = 2/3 cm
Length (l) = 7/8 cm
Width (w) = 1/7 cm
Therefore,
= w * h * l
= 1/7 * 2/3 * 7/8
= 2/21 * 7/8
= 14/168
= 1/12
Volume = 1/12 cm^3
5) V = 3/25 m^3
Height (h) = 1/5 m
Length (l) = 2/3 m
Width (w) = 9/10 m
Therefore,
= w * h * l
= 9/10 * 1/5 * 2/3
= 9/50 * 2/3
= 18/150
= 6/50
=> 3/25
Volume = 3/25 m^3
6) V = 3/8 yd^3
Height (h) = 1/2 yd
Length (l) = 6/7 yd
Width (w) = 7/8 yd
Therefore,
= w * h * l
= 7/8 * 1/2 * 6/7
= 7/16 * 6/7
= 42/112
=> 3/8
Volume = 3/8 yd^3
Related Questions
Find the average rate of change of the function f(x) - 2x² + 6x + 6, from x=-3 to x=-1. Note, the directions are equivalent to "Find the average rate of change over the interval [-3,-1]".
Answers
Answer: -2
Step-by-step explanation:
I will assume you meant [tex]f(x)=2x^{2}+6x+6[/tex].
[tex]f(-3)=2(-3)^2 + 6(-3)+6=6\\\\f(-1)=2(-1)^2 + 6(-1)+6=2\\\\\therefore \frac{f(-3)-f(-1)}{-3-(-1)}=\frac{6-2}{-2}=\boxed{-2}[/tex]
Is the graph increasing, decreasing, or constant?
Answers
Answer:
jxdhjsssdddddsssssdd
Answer:
increasing
Step-by-step explanation:
look left to right, line goes up
A snowstorm started on
Tuesday at 2:12 P.M. and
ended on Wednesday at
5:46 A.M. How long did it snow in hours and minutes?
(A) 15 hours, 24 minutes
(B) 15 hours, 34 minutes
(C) 16 hours, 14 minutes
(D) 16 hours, 44 minutes
Answers
B) 15 hours, 34 minutes
2:12 + 15 hours = 5:12 A.M
5:12 + 34 minutes = 5:46 A.M
Explanation
9hr 48 minutes to midnight plus
5 hr 46 minutes on Wednesday
_________
14 hr 94 minutes (simplify - less 60 minutes = 1hr )
15 hr 34 minutes
Can you do this because it is confusing the thing is y=mx+c and also it is not 1/2x+0.5
Answers
Step-by-step explanation:
there must be no confusion just put x= 0 u get y=0.5 which is true according to graph and also put x=2 you get y = 1.5 which is again satisfy by the graph so it is 1/2x+0.5
Answer:
y = 1/2 x + 1/2
Step-by-step explanation:
I think your answer is not wrong but if the math program won't accept it, check these two things:
Make sure the x is beside the 1/2 and is not interpreting it as the x on the bottom with the 2 which is wrong.
Also, usually we don't put a mix of decimals and fractions. So change that .5 to a 1/2. I know what you have is equivalent, but just the norms dictate how to write it. Maybe it is just some tiny detail as these two details. Please don't be confused, you aren't wrong.
Find an angle between zero and 360 that is coterminal with 900°
Answers
Answer:
180
Step-by-step explanation:
Answer:
180
Step-by-step explanation:
How can I find the three iterations of 3^(x)= 2^(-x)+4
Answers
After factorizing the given equation, we can find the three iterations by putting the consecutive values of x.
The given equation is 3∧x = 2∧(-x) + 4. We can modify it as shown below:
Take logarithm on both the sides
log(3∧x) = log[2∧(-x) + 4]
xlog3 = log[2∧(-x) + 4]
x = log[2∧(-x) + 4] / log3
For the first iteration, put x = 1
x = log[2∧(-1) + 4] / log3
x = log4.5 / log3
x = 0.477
For the second iteration, put x = 2
x = log[2∧(-2) + 4] / log3
x = log4.25 / log3
x = 0.477
For the third iteration, put x = 3
x = log[2∧(-3) + 4] / log3
x = log4.125 / log3
x = 0.477
So, this is how we can find three iterations.
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Which model represents 2 . 36 ÷ 4 ?
A. Three groups each have three tens and 4 ones.
B. There are three groups of five tens and 9 ones in each group.
C. There are four groups of three tens and six ones.
D. There are three groups of five tens and nine ones in each group
Answers
THE ANSWER IS D BECAUSE 2.36 ÷4= 0.59
D IS THE ONLY OPTION THAT REPRESENTS THE .59 (5 columns of tenths + 9 ones= .59)
I CHOSE THE WRONG ANSWER FROM A PREVIOUS POST ON HERE WITH THE SAME QUESTION THAT TOLD ME TO CHOOSE C & LEARNED THE HARD WAY, THAT WAS WRONG. THE ANSWER IS D!
Phil Santos owns an independent mobile phone store. He has a wonderful personality, is very knowledge about the products he sells and people flock to his store. Phil would like to start selling online so he can reach more customers.
He's talked with website developers and the firm he decided to go with will charge him $9500 to build the site. Phil wondered why the site was so expensive and explored the idea of building it himself. He found out it's complicated to build a site that can take payments so he decided to be safe rather than sorry and have it built by experts. They also gave him an estimate of $5300 a year to maintain his site. This will allow him to update the site constantly and add new pictures and videos as new products and promotions are introduced over the course of the year.
A marketing research firm found that he should expect about 133 sales a month averaging about $290 profit per sale. Phil was thrilled with this news and decided to spend $15,000 to add a new room to his store to be used as a shipping area.
He also wanted to make his sales literature and in store promotional materials such as banners, and promotional give-a-ways consistent with the look of the website. Phil has worked with a graphic design class at the local community college and knows it will cost $2300 a year to have the materials designed and printed.
What is the cost to acquire each new customer? Show your full calculation.
Does it make sense for Phil to sell his products online?
Answers
Answer:
It makes sense for Phil to sell his products online.
Step-by-step explanation:
How do I do this? The question is in the picture.
Answers
Answer:
Step-by-step explanation:
Find the area of the rectangle.
A rectangle is shown. The left side is labeled with the expression 8 x. The top side is labeled with the expression 7 x plus 1. (1 point)
15x + 1
56x2 + 8x
56x + 8
15x2 + 9x
Answers
Answer:
56x² + 8x
(second option listed)
Step-by-step explanation:
area: length × width
length: 7x + 1
width: 8x
(8x)(7x + 1)
{distribute 8x}:
(8x)(7x): 8x × 7x = 8 · 7 · x · x = 56 · x · x = 56x²
(8x)(1) = 8x
area = 56x² + 8x
so, the area of this rectangle is 56x² + 8x
Answer:
56x² + 8x
[answer B]
s x – 5 a factor of the function f(x) = x3 – 5x2 + 7x – 35? Use the Remainder Theorem to justify your answer.
Answers
By using the remainder theorem we found that ( x - 5 ) is the factor of function f(x) = x³ – 5x² + 7x – 35.
What is factorization?Factorization is defined as splitting the polynomial into its most simplified form. This factor satisfies the polynomials from which it is extracted.
The factorization by using the Remainder theorem.
x - 5 ) x³ – 5x² + 7x – 35.( x ² + 7
x³ - 5x²
______________
00 7x - 35
7x - 35
-------------------------
00
Here the function is completely divided by the factor x - 5 therefore
by using the remainder theorem we found that ( x - 5 ) is the factor of function f(x) = x³ – 5x² + 7x – 35.
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Please help with the attached photo.
Answers
The solution to the equation r(1 - 2cosФ) = 1 is given as x² + y² - 4x√(x² + y²) + 4x² = 1
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
In polar form:
r = √(x² + y²) and cosФ = x / √(x² + y²)
Hence:
r(1 - 2cosФ) = 1
√(x² + y²) [1 - 2(x / √(x² + y²))] = 1
√(x² + y²) - 2x = 1
Take square of both sides:
x² + y² - 4x√(x² + y²) + 4x² = 1
The solution to the equation r(1 - 2cosФ) = 1 is given as x² + y² - 4x√(x² + y²) + 4x² = 1
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curved surface area of a cone = Trl, where r is the
radius and is the slant height.
The cone below has a slant height of 23 cm and a
diameter of 6 cm.
Work out the curved surface area of the cone.
Give your answer to the nearest integer and remember
to give the correct units.
6 cm
23 cm
Not drawn accurately
Answers
The curved surface area of the cone is 144 cm².
What is the curved surface area?A cone is a three-dimensional object that consists of a circular base and an vertex.
curved surface area = πrl
Where:
r = radius = diameter / 2 = 6/2 = 3 cm l = slant heightπ = 3.143.14 x 3 x 23 = 144 cm²
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Find the radius of a circle with area 345 square centimetres
For 35 points need asap in 10 MINS!!!! :)
Answers
5.9
Step-by-step explanation:
345√ is 18.6=3.14*r2 cuz formula
Is πr2
Step-by-Step Solution:
Radius (r) = ?
Area (A) = πr² = 345 sq. cm
Therefore,
πr² = 345
3.14 * r² = 345
r² = 345/3.14
r² = 109.87
r = √109.87
=> r = 10.48
Radius (r) = 10.48 cm
e:f=3:7
f:g=2:3
Work out e:g in simplest form
Answers
The value of e:g is 2:7.
what is Ratio?A ratio indicates how many times one number contains another.
Given:
e:f=3:7
f:g=2:3
Now take LCM of 2 and 7 i.e., 14.
e/f= 3/7= 3*2/7*2= 6/14
and, f/g= 2/3= 2*7/3*7= 14/21
So,
e/g= e/f *f /g
= 6/14*14/21
= 6/21
e:g = 2:7
Hence, the value of e:g is 2:7.
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find Y if AB bisects DAC and CB bisects ACE
Answers
Answer:
L1 and L2 are parallel
BAC = 58° as it is given in the question that AB bisects DAC
similarly BCE = y°
angle B = 90° ( from figure)
Y + 58° + 90° = 180 ( angle Sum property of a triangle).
Y + 148° = 180°
Y = 180 - 148
Y = 32°
A rectangular floor of area 21.6 m2 is going to be tiled. Each tile is rectangular, and has an area of 288 cm2. An exact number of tiles can be put into the space. How many tiles will be needed?
Answers
Answer:
Area of Floor = 21.6.m²
Area of tile = 288 cm² = 0.0288 m²
No. of tiles = Area of floor/ area of tile
= 21.6/0.0288
= 750
750 tiles can be put into the spacesimplify (8x2y3)/(2x4y)
Answers
Answer:
1) 8x/2x = 4
2) 2y/4y = 1/2
3) (4 x 1/2 x 3) = 6
4) /2
solutions= 6/2=3
can someone please help walk me through the steps to solve number 79? i’m lost
Answers
Answer: 70/29
Step-by-step explanation:
[tex]S=\theta r\\\\35=14.5 \theta\\\\\theta=\frac{35}{14.5}=\boxed{\frac{70}{29}}[/tex]
Flying against the wind, an airplane travels 2520 kilometers in 4 hours. Flying with the wind, the same plane travels 9450 kilometers in 9 hours. What is the rate of the plane in still air and what is the rate of the wind?
Answers
Using the relation between velocity, distance and time, it is found that:
The rate of the plane is of 840 km/h.The rate of the wind is of 210 km/h.What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
[tex]v = \frac{d}[t}[/tex]
Flying against the wind, an airplane travels 2520 kilometers in 4 hours, that is:
[tex]v - v_w = \frac{2520}{4}[/tex]
[tex]v - v_w = 630[/tex]
[tex]v = 630 + v_w[/tex]
Flying with the wind, the same plane travels 9450 kilometers in 9 hours, hence:
[tex]v + v_w = \frac{9450}{9}[/tex]
[tex]v + v_w = 1050[/tex]
[tex]v = 1050 - v_w[/tex]
Hence, solving for the wind's speed:
[tex]630 + v_w = 1050 - v_w[/tex]
[tex]2v_w = 420[/tex]
[tex]v_w = \frac{420}{2}[/tex]
[tex]v_w = 210[/tex]
For the plane, we have that:
v = 1050 - 210 = 840.
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Find f(-4) for f(x)=9(3)^x
Answers
Answer:
[tex] f(-4) = \dfrac{1}{9} [/tex]
Step-by-step explanation:
[tex] f(x) = 9(3)^x [/tex]
[tex] f(-4) = 9(3)^{-4} [/tex]
[tex] f(-4) = 3^2 \cdot 3^{-4} [/tex]
[tex] f(-4) = 3^{-2} [/tex]
[tex] f(-4) = \dfrac{1}{9} [/tex]
Answer:
1/9
-------------
Select the correct interpretation of the following expression.
2(3x+1)(9x-5)
A.
double the sum of 3x + 1 and 9x - 5
B.
the sum of 2, 3x, 1, 9x, and -5
C.
the product of 2, 3x + 1, and 9x - 5
D.
the product of 2, 3x, 1, 9x, and -5
Answers
Answer:
C
Step-by-step explanation:
you are multiplying so it is the product of the three
2 ( ... ) ( ... )
and you must solve the brackets first so C and not D
What would the following figure look like after a reflection in a horizontal mirror, followed by a rotation 90 degrees counterclockwise?
Answers
Answer:
Step-by-step explanation:
To rotate any figure we have to have the CENTER of rotation!!!!
You did not provide us (your helpers) with that point, so I chose point on the horizontal mirror.
You must make 3 shots in a row to win the fairs basketball game. The hoop is uneven and the backboard curved. Only 5 players out of 100 win the game. What percentage of players do not win.
Answers
Answer:
95%
Step-by-step explanation:
5 player won, meaning 95 player didn't.
This means that 95% of the players didn't win.
If : f(x)=x^2, g(x)=x-1. Find (f×g)(x).
Answers
Answer:
[tex] \boxed{ f\cdot{g}(x) = x {}^{3} - x {}^{2}}[/tex]Step by step explanation:
Given that,
[tex]f(x) = {x}^{2} [/tex]
[tex]g(x) = x - 1[/tex]
Solution:
Solving for (f•g)(x):
[tex] = f(x) \cdot g(x)[/tex]
Now substitute the given values.
[tex] = x {}^{2} \cdot(x - 1)[/tex]
[tex] = x {}^{2} (x - 1)[/tex]
Apply distributive property:
[tex] = (x ^{2} \cdot x) - x {}^{2} \cdot 1[/tex]
[tex] \boxed{ f\cdot{g}(x) = x {}^{3} - x {}^{2}}[/tex]Hence,f•g(x) will be [tex] x {}^{3} - x {}^{2}[/tex].
abcdefghijklmnopqrstuvwxyz
Answers
answer:
Now I know My ABC next time won't you sing with me.
The volume of a cone of height 4cm is 48cm². Find the radius (take π=22/7)
Answers
Answer:
22
Step-by-step explanation:
Is easy just multiple
Consider figures 1 and 2 shown in the coordinate plane. Figure 1 has been transformed to produce figure 2.
Answers
Answer:
0 and -6
(0,-6)
Step-by-step explanation:
Can't really explain, but this is a guess on the actual question.
Suppose that an examination consists of 10 questions with the choice A, B, C, and D. Assume that a student has no knowledge of the subject matter. Then what is the probability that: Guessing at most two correct answers? Guessing at least seven correct answers? Which type of probability distribution it has? Why? average five smokers pass a crain traat B. C. Suppose that an examination consists of 10 questions with the choice A , B , C , and D. Assume that a student has no knowledge of the subject matter . Then what is the probability that : Guessing at most two correct answers ? Guessing at least seven correct answers ? Which type of probability distribution it has ? Why ?
Answers
The probability of getting two correct answers will be 0.0625.
How to calculate the probability?The probability of getting two correct answers will be:
Probability of getting the correct answer will be:
= 1/4 = 0.25
The probability of getting two correct answers will be:
= 0.25 × 0.25
= 0.0625
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Which compound inequality is represented by the graph?
-3≤x<1
-3 < x≤1
x≤-3 or x> 1
x<-3 or x ≥ 1
Answers
The inequality will be the negative 3 ≤ x < 1. Then the correct option is A.
The missing graph is attached below.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Then the inequality will be
-3 ≤ x < 1
Then the correct option is A.
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Answer:
the answer is A
Step-by-step explanation: