Answer:
6 units cubed
Step-by-step explanation:
The volume will simply be the volumes of all the little cubes added together.
The volume of a cube is V = s³, where s is the side length. Here, it's 1/2, so:
V = s³ = (1/2)³ = 1/8 units cubed
We have 48 such cubes, so multiply 1/8 by 48 to get the total volume:
48 * (1/8) = 6 units cubed
Thus, the prism is 6 units cubed.
~ an aesthetics lover
Answer:
[tex] \boxed{\sf Volume \: of \: prism = 6 \: {units}^{3}} [/tex]
Given:
Total numbers of cubes in a prism = 48
Side length of each cube = [tex] \frac{1}{2} [/tex] unit
Step-by-step explanation:
[tex] \sf Volume \: of \: cube = {side}^{3} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {( \frac{1}{2}) }^{3} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{8} \: { units}^{3} [/tex]
[tex] \sf \implies Volume \: of \: prism =Volume \: of \: cube \times 48 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{8} \times 48 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{ \cancel{8}} \times \cancel{8} \times 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 6 \: {units}^{3} [/tex]
PLS ANSWER PLS MARK AS U KNOW WHAT
Answer:
2/4 +6/8 =5/4
Step-by-step explanation:
Factor. m² + 10m + 25
(m + 5)(m - 5)
(m + 5)²
(m - 5)²
(m + 25)²
Answer:
[tex]\left(m+5\right)^2[/tex]
Step-by-step explanation:
[tex]m^2+10m+25\\\mathrm{Rewrite\:}m^2+10m+25\mathrm{\:as\:}m^2+2m\cdot \:5+5^2\\m^2+10m+25\\\mathrm{Rewrite\:}25\mathrm{\:as\:}5^2\\=m^2+10m+5^2\\\mathrm{Rewrite\:}10m\mathrm{\:as\:}2m\cdot \:5\\=m^2+2m\cdot \:5+5^2\\\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\a=m,\:b=5\\\left(m+5\right)^2\\[/tex]
John shifted the decimal point of a number twice to the left to obtain a new number. The difference between the new number and the original number was 136.62. What is the sum of the 2 numbers?
Step-by-step explanation:
From a, the original number is 100x the new number.
So,if the new number is 1unit --> the original is 100x 1unit --> 100units
Add the two numbers together --> 1unit + 100units --> 101 units
We also know that the difference between the two numbers is 136.62
So 100units - 1unit --> 136.62
99units -> 136.62
1unit --> 1.38
101units --> 139.38
If the 6th terre
an Alis 11 and the first term is 1
find the common difference
Answer:
6th term = 11
1st term = 1
d = 11 - 1/5 = 2
Given g(x)=-5x-4, solve for x when g (x)=1
Answer:
1 = -5x-4 add 4 to both sides
-5x = 1+4 divide both sides by (-5)
x = -5/5
x= -1
What is the following product?
Sqrt 30 • sqrt 10
2 sqrt 10
3 sqrt 10 4 Sqrt 10
10 sqrt 3
Answer:
10 sqrt 3.
Step-by-step explanation:
sqrt30 = sqrt10 * sqrt 3
so sqrt30 * sqrt10
= sqrt10 * sqrt10 * sqrt3
= 10 sqrt 3.
Answer:d
Step-by-step explanation:
Graph the equation to solve the system y=x-5 y=x+6
Answer:
the equations have no solutions
(i.e the graphs are parallel and does not intersect each other)
Step-by-step explanation:
if we graph the 2 equations, we can see that they are parallel and do not intersect, hence there is no solution to the given system of equations.
You had a goal to collect 50 cans for a food drive. You were able to collect 83 cans. What percent of your goal did you collect?
Answer:
you have 33 cans and so you have completed 166% of your goal
Step-by-step explanation:
I dont know
166 percent of the goal person as collected the cans.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
A percentage is a number or ratio that can be expressed as a fraction of 100.
Given that, a goal to collect 50 cans for a food drive.
Person as collected 83 cans.
Here, x% of 50 =83
x/100 ×50 =83 (word "of" means multiplication)
x/2 =83
x=166 (Transpose 2 to RHS of the equation)
So, x=166%
Therefore, 166% of the goal person as collected the cans.
To learn more about the percentage visit:
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How do I solve this?
Answer:
Try using estimation.
Make sure you don't start with the y-axis first.
I don't think they really want an exact answer though. You could try using a ruler if there's one on your phone but I still think estimation is okay.
Step-by-step explanation:
Look how close the point is to 1 on the x-axis and how close it is to 2 on the x-axis then chose what you think fits.
plz work out how you got the answer Jenny goes to dance class every 6 days, karate class every 12 days, and to the library every 18 days. On December 1st she went to both classes and the library. In how many days will she do both classes and go to the library? *
Answer:
36
Step-by-step explanation:
if im wrong im sorry u add all of them up
Can someone help me out solved this problem plz! I need help ASAP! Help me I will mark you as brainiest! Show steps!
Answer:
14 minutes...
Step-by-step explanation:
Wage for an hour: $11.50 per hour
Wage for first 35 hours: $11.50*35 = 402.5
Wage after 35 hours: $17.25 per hour
Earning in one week: $626.75
Therefore, hours worked :
$626.75 - 402.5 = 224.25
Now 224.25/17.25 = 13
Therefore total hours is
13+35 = 48 Hours
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Over the past ten years, the town's population doubled in size. The population is currently 12,000. What was the population ten years ago? Which of the following represents the given word problem if "P" represents the population ten years ago? 2(P + 10) = 12,000 2P = 12,000 P = 2(12,000)
Answer:
2p=12,000
Step-by-step explanation:
2+2 i was wondering what the answer to this is
Answer:
2 + 2 = 4
Step-by-step explanation:
The question you asked is a simple arithmetic ( addition precisely). Addition is the sum of two or more numbers.
2 + 2 = 4
Depending on your level, you can use counting method ( or the tally system) to get the answer.
2 + 2 = 4
II + II = IV
I hope this helps you!
Which planet is more than one astronomical unit from the Sun? A. Mars B. Earth C. Venus D. Mercury
Answer: Earth
Step-by-step explanation:
Planet (or Dwarf Planet) Distance from the Sun (Astronomical Units miles km) Number of Moons
Mercury 0.39 AU, 36 million miles 57.9 million km 0
Venus 0.723 AU 67.2 million miles 108.2 million km 0
Earth 1 AU 93 million miles 149.6 million km 1
Mars 1.524 AU 141.6 million miles 227.9 million km 2
Can someone help me simplify these expressions
Step-by-step explanation:
4. Let's multiply the coefficients. 2 * 6 * (-5) = -60. As for the exponents, since they have the same base we'll just add the exponents giving us s^(2 + 1 + 4) = s^7 so the answer is -60s^7.
7. -2/3 * -1/2 * -4 = -4/3 and the exponent is b^(2 + 3 + 4) = b^9 so the answer is -4/3b^9
find the value of A when pi= 3.142 and r= 5
Answer:
7.855
Step-by-step explanation:
A=pi*r^2=3.142*5^2=3.142*25=7.855
The value of A = 7.855 units.
What is area of circle?The area of a circle is π multiplied by the square of the radius. The area of a circle, (A) when the radius 'r' is given is πr2. π is approximately 3.142
Here, given that,
r= 5 units
Then, A=pi*r^2
=3.142*5^2
=3.142*25
=7.855
hence, the value of A = 7.855 units.
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the sides of a triangle are in the ratio, 4:5:7 and its perimeter is 64cm. find its area , correct to 2 decimal places
Answer:
Step-by-step explanation:
First find all the sides of the triangle:
Total parts: 4+5+7 = 16
cm per part = 64/16 = 32/8 =4cm
therefore, all measures: 16cm, 20cm, 28cm.
Answer:
since you have not specified the height, I will use any no.
= 0.16
Step-by-step explanation:
perimeter is the distance round
add the ratios; 4+7+5=16
Ratio 16= Perimeter 64cm
R.16=64cm, find all the ratios
start with ratio 4
R.16=64cm
R.4×64cm÷16=16 cm
R.5×64÷16= 20 cm
R.7×64÷16=28 cm
A=1/2× b×h
1/2×16×20= A= 160cm2
2 dp, divide
0.16
Simplify the expression 4x3× 2x3
Answer:
8 x^6
Step-by-step explanation:
4x^3× 2x^3
Multiply the numbers
4*2 = 8
Then the variables
x^3 * x^3 = x^(3+3) = x^6
8 x^6
Answer:
[tex]8x^{6}[/tex] (I am assuming you meant [tex]4x^3*2x^3[/tex]
Step-by-step explanation:
First you multiply the coefficients 4 and 2 which equals 8
Then you multiply the x's and when you multiply variables that are raised to powers you add the powers
so [tex]x^3*x^3 = x^(3+3)[/tex]
Putting this together you get [tex]8x^{6}[/tex]
The graph of an absolute value function y=a|x| includes the points (1,6) and (-1,6)
Answer: y=6|x|
Step-by-step explanation:
I attached the graph too!
a wedding ring costs £13000. Work out the price after a 11% increase
Answer:
14430 pounds
Step-by-step explanation:
Given that:
cost of ring: 13000
percentage increase: 11%
So, to find the new cost, we have to find the increase cost, in pounds:
11 / 100 times 13000 = 1430 pounds.
NOW to calculate the new cost, we add the increase cost to the original:
13000 + 1430 = 14430
Please mark brainiest
Given the statement:
Little sisters are annoying.
If you are a little sister, then you are annoying. This is the_
converse
original statement
contrapositive
inverse
Hypothesis
conclusion
Answer:
conclusion
Step-by-step explanation:
We are given a single statement:
"Little sisters are annoying."
A hypothesis regarding that statement is then proposed:
You are a little sister.
The only two possible interpretations from the information given are that you either are annoying or not. Since little sisters are annoying, if you are a little sister, the only possible logical conclusion is that you are annoying.
The answer is conclusion.
It would be conclusion
“Little sisters is annoying”
Given OR, how is it known that QS=YT?
Answer:
Either A or B, or both. They are both true
Step-by-step explanation:
The diameter of a circle is and only can be one value. As long as you start from the center of the circle and go in a straight line. All radii lengths are congruent is also true. Im unsure if you can choose more than one answer
26x=74 which describe how to solve the equation below
Answer:
x = 37/13
Step-by-step explanation:
26x=74
x=74/26
x=37/13
Noah visits different states every summer. This summer, he started with 2 states already visited and visits 6 states per day. Write an equation to model this situation (use d for days and s for states)
s = number of states visited
d = number of days
6d = number of states visited after d days pass by, excluding the first 2 visited
6d+2 = total number of states visited, including the 2 originally visited
Answer: s = 6d+2
Someone please help ASAP. I would really really appreciate it if u can. I will mark brainliest
Answer:
[tex]y = -\frac{1}{4} x + 2[/tex]
Step-by-step explanation:
Solve each equation for x 3х- 12у= 27
1. If the original price is $75 and you get a 30% discount. What is the sale
price?
Answer:
the sale price is 52.50
Step-by-step explanation:
30% discount means that the person pays 70% of the original price
multiply 75 by 70% written as a decimal 0.70
75*0.70 = 52.50
a. The graph of g(x) is the graph of f(x) stretched vertically. c. The graph of g(x) is the graph of f(x) shrunk vertically. b. The graph of g(x) is the graph of f(x) shifted down 3. d. The graph of g(x) is the graph of f(x) shifted up 3. Please select the best answer from the choices provided
Answer:
There is no picture?
Step-by-step explanation:
Answer:
a. The graph of g(x) is the graph of f(x) stretched vertically.
Step-by-step explanation:
I just took test and got it correct 100%
Which of the following is Tj length of GF given that figure DEFG is parallelogram?
Plz help
[tex]answer \\ = 12 \\ please \: see \: the \: attached \: picture \\ hope \: it \: helps[/tex]
5. Find the volume:
6.8 m
9.2 m
6.2 m
Answer:
387.872
Step-by-step explanation:
to find volume you have to multiply the length times width times height so that's what I did to get the answer.