The length of the side of the smaller cube is 3.48cm
Let the length of the smaller side be xThe length of the bigger side will be x + 2Volume of the smaller cube = x^3Volume of the larger cube = (x+2)^3If their volumes differ by 152 cm^3, then;
x^3 - (x+2)^3 = 153
Expand
x^3 - (x^3 + 3x^2(2^2) + 3x(2^3) + 2^4) = 153
x^3-x^3-12x^2-24x + 16 = 153
-12x^2-24x + 16 = 153
12x^2 + 24x - 16 - 153 = 0
12x^2 + 24 -169 = 0
On factorizing, the value of x is 3.48. This shows that the length of the side of the smaller cube is 3.48cm
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move the numbers to the blanks to order them from least to greatest value.
0.1 -9/8 4 |-5/6| -0.78
Answer:
-9/8, -5/6 -0.78, 0.1, 4
Step-by-step explanation:
since they're negative, it makes them look bigger than others but they're not. I think I got it right. hope I could help!
which expression is equivalent to (-3) x + (-3) (-12)
Answer:
-3x - 15
or
-3(x + 5)
Step-by-step explanation:
-3x - 3 - 12
-3x - 15
-3(x + 5)
sorry if this doesn't help but i hope it does
Answer:
-3(x + 5)
Step-by-step explanation:
There are 10 pens in a box. There are x red pens in the box. All the other pens are blue. Jack takes at random two pens from the box. Find an expression, in terms of x, for the probability that Jack takes one pen of each colour. Give your answer in its simplest form.
The probability that one of each color is selected is [tex]\frac{10x - x^2}{45}[/tex]
ProbabilitiesThe probability of an event is the chances of the said event
The given parameters are:
Total = 10Red = xBlue = 10 - xCalculating the required probabilityThe probability that one of each color is selected is calculated as follows:
[tex]P = P(Blue) \times P(Red) + P(Red) \times P(Blue)[/tex]
So, we have:
[tex]P = \frac{10 - x}{10} \times \frac{x}{9} + \frac{x}{10} \times \frac{10 - x}{9}[/tex]
This gives
[tex]P = \frac{x(10 - x)}{90} +\frac{x(10 - x)}{90}[/tex]
Take LCM
[tex]P = \frac{2x(10 - x)}{90}[/tex]
Simplify the above expression
[tex]P = \frac{x(10 - x)}{45}[/tex]
Expand
[tex]P = \frac{10x - x^2}{45}[/tex]
Hence, the probability that one of each color is selected is [tex]P = \frac{10x - x^2}{45}[/tex]
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PLS HELP I WILL GIVE BRAINLYEST
Use the number line to find the distance between -10 and -4.
Enter your answer in the box.
units
Answer:
6
Step-by-step explanation:
2. What are all possible names for line b?
Answer:
di ako sure pero ito :)
Step-by-step explanation:
A line segment has two endpoints. It contains these endpoints and all the points of the line between them. You can measure the length of a segment, but not of a line.
A segment is named by its two endpoints, for example, AB¯¯¯¯¯ .
Amelie read 12 pages of her book each day for 4 days. Matthew read 12 pages of the same book each day for 8 days.
Answer:
if u are asking how many more pages Matthew read then it's 48 pages. If u are asking how many they read all together then it's 144 pages.
What is the completely factored form of f(x)=x^3+5x^2+4x-6
Answer:
(x+3)(x^2+2x-2)
Step-by-step explanation:
rewrote the expression
then factor out common numbers, variables, and exponents
What Is The exact volume of the cone with a height of 4 and a radius of 7
Answer:
196 / 3 [tex]\pi[/tex]
Step-by-step explanation:
pi x radius x radius x height / 3
= pi x 49 x 4 / 3
= pi x 196 / 3
Find the slope of the line passing through the points (-6, 1) and (-7,5).
Answer:
y = -4x – 23
Hope this helps :)
I need help with my math homework from The Hung Vuong Learning Centre Incorporated, like immediately please!!! Here is an image for you to answer the questions will receive the Brainliest award if you answer the questions completely! Well anyways, good luck on answering the questions and I will check the answers are appropriate! :)
Answer:
Give me some hint please
Answer:
2. d) L = 10, W = 20
3. c) P = 100
Step-by-step explanation:
2. 2L + W = 40
W = 40 - 2L
A = L x W
= L (40 - 2L)
= 2L^2 + 40L
=-2 (L^2 - 20L)
= -2 (L^2 - 20^2 + 100 - 100)
= -2 (L^2 - 20L + 100) +200
= -2 (L - 10)^2 +200
L = 10
W = 40 - 2(10
=20
3. c. P = 2(L + W)
= 2(49 + 1)
= 100
a. P = 53
b. P = 32.5
d. P = 28
Erica has $12 credit on her Cel-Tel phone card. It costs her $1 to make a phone call using her Cel-Tel card. Erica also has $15 credit on her MTT phone card. It costs her $2 to make a phone call using her MTT card. Which system of equations can be solved to find the number of calls, x, that Erica can make and have the same amount of money, y, on both phone cards?
yy==−2x+15−x+12
y = - 2 x + 15 y = - x + 12
yy==2x+15−x+15
y = 2 x + 15 y = - x + 15
yy==−2x−15−x−12
y = - 2 x - 15 y = - x - 12
yy==15x−212x−1
y = 15 x - 2 y = 12 x - 1
Answer: b
Step-by-step explanation:
What is the equation of this line in slope-intercept form?
(-1,5) (1,-1)
Answer:
y=-3x+2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-5)/(1-(-1))
m=-6/(1+1)
m=-6/2
m=-3
y-y1=m(x-x1)
y-5=-3(x-(-1))
y-5=-3(x+1)
y=-3(x+1)+5
y=-3x-3+5
y=-3x+2
Hire Refrigeration company floated Rs. 3 Billion bond on July 1, 2016. Each bond having face value of Rs. 1,000. Maturity of bond is 5 years, while interest coupon rate is 12%. What will be the value of bond if market interest rate is 8% and 15% respectively. Also what will be the new value of bond after 2 years if the market interest rate remains constant.
1. The value of the bond with a market interest rate of 8% is $1,159.71.
2. The value of the bond with a market interest rate of 15% is $899.44.
3. The new value of the bond after 2 years with market interest rate of 8% is $1,103.08.
4. The new value of the bond after 2 years with market interest rate of 15% is $931.50.
Data and Calculations:
N (# of periods) = 5 years
I/Y (Interest per year) = (A) 8% or (B) 15%
PMT (Periodic Payment) = $120
FV (Future Value) = $1,000
Results
PV = $1,159.71 and $899.44 for (B)
Schedule at 8% interest rate
Period PV PMT Interest FV
1 $1,159.71 $120.00 $92.78 $1,132.49
2 $1,132.49 $120.00 $90.60 $1,103.08
3 $1,103.08 $120.00 $88.25 $1,071.33
4 $1,071.33 $120.00 $85.71 $1,037.04
5 $1,037.04 $120.00 $82.96 $1,000.00
Schedule at 15% interest rate
Period PV PMT Interest FV
1 $899.44 $120.00 $134.92 $914.35
2 $914.35 $120.00 $137.15 $931.50
3 $931.50 $120.00 $139.73 $951.23
4 $951.23 $120.00 $142.68 $973.91
5 $973.91 $120.00 $146.09 $1,000.00
Learn more about the value of bonds based on effective interest rate here: https://brainly.com/question/25524725 and https://brainly.com/question/23265123
Find the value of the expression 8a +b, if a=3 and b= 1
a) 23 b) 29 c) 30 d) 25
8a + b
a=3
b=1
(8×3)+1
=24+1
=25
the answer is d)25
The first step for deriving the quadratic formula from the quadratic equation, 0 = ax^2 + bx + c, is shown.
Step 1: –c = ax^2 + bx
Which best explains or justifies Step 1?
subtraction property of equality
completing the square
factoring out the constant
zero property of multiplication
Answer:
Subtraction property of equality
Step-by-step explanation:
You subtracted c from both sides of the equation to preserve equality
The step 1 is explained by subtraction property of equality.
The correct option is A.
The standard form of Quadratic Equation is
ax² + bx + c = 0
Also, we must remove c from the right side and move it to the left side in order to derive the quadratic formula from the quadratic equation.
And to do that, we must subtract c from both sides, which is
-c = ax² + bx
Then, we have used subtraction property here.
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Which of the following questions can use science as a method of inquiry?
A. How many of hours of homework should be assigned each night?
B. At what age should a person be able to drive?
C. Why does a cork float in water?
D. Should pitbulls be allowed to live in cities?
Answer:
c
Step-by-step explanation:
Meredith is 3 times as old as Adam. Six years from now, she will be twice as old as Adam will be then. How old is Adam now
Answer:
A=6
Step-by-step explanation:
M=3A
M+6=2(A+6) M+6=2A+12 M=2A+6
System of equations:
M=3A Subtract
M=2A+6
0=A-6
A=6
Solve the inequality
4x - 19 ≥ -27
Answer:
x ≥ -2
Step-by-step explanation:
Hope this helps!
Santa needs 600 toys. 175 toys have already
been made. 5 elves made the rest of the toys.
How many toys did each elf make, assuming
that they each made they amount?
Answer:
Each elf made 85 toys
Step-by-step explanation:
First we must find out how many more toys need to be made. To do this we just have to subtract 175 from 600. 600 - 175 = 425.
Next we have to divide 425 toys by the 5 elves. 425 divided by 5 is 85.
A 6am one morning the temperature was -14 degrees by noon it rose 8 degrees and then rose another 2 degrees by 3pm. By 6pm the temperature had dropped 5 degrees. What was the temperature at 6pm
Answer:
-9 degrees
Step-by-step explanation:
-14 + 8 = -6
-6 + 2 = -4
-4 - 5 = -9
The temperature at 6pm dropped down to 5°.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that at 6am one morning the temperature was -14 degrees by noon it rose 8 degrees and then rose another 2 degrees by 3pm. By 6pm the temperature had dropped 5 degrees
We can write -
T{6 AM} = - 14°
T{12 PM} = 8°
T{3 PM} = (8 + 2)° = 10°
T{6 PM} = 10° - 5° = 5°
Therefore, the temperature at 6pm dropped down to 5°.
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plz I just wanna if my answers are true
Answer:
3^2
3^4
3^6
Step-by-step explanation:
9 is actually 3^2, so you have the first one wrong.
The second one is correct, but the third one is not
Since 9 is 3^2, you can write that as (3^2)^3, which is 3^6.
You know the following information about triangle ABC and triangle DEF:
AB-DE and
What additional information is needed to prove that the triangles are congruent by SAS?
AB=DE
AC=DF
BC=EF
Answer:
(b) AC = DF
Step-by-step explanation:
In order to use SAS, you need to show congruence of the sides on either side of the angle. One of those sides is given as congruent: AB = DE. (This given rules out choice A, which is identical.)
The remaining needed side will have points A and D as one of the points defining the side. This rules out choice D.
The relation between other angles is irrelevant to SAS, so choice C is ruled out.
Choice B: AC = DF will supply the information necessary to show congruence by SAS.
✺༒Question༒✺
Refer to attachment
Nonsence answer will get report
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer.....
(i) 64(ii) 729(iii) 121(iv) 625Hope it helps!
Brainliest pls!
Follow me! :)
Answer:
REFER TO ATTACHMENT
I HOPE IT IS HELPFULSaturn is about 1.427 x 10^12 miles from the sun. Light travels at approximately 3 x 10^8 miles/second. How long does it take for suns light to reach Saturn
Answer:
4,756.66 seconds or 1.321 hours
Here's how I got that:
- Simply use time formula and plug in what you know -
t = distance/speed
↓
1,427,000,000,000/300000000
↓
t = 4,756.66
~That's all folks~
-Siascon
what is this answer?
Answer:
The answer is 16.
Sorry if it's incorrect.
Step-by-step explanation:
There are 5 counselors for every 75 students enrolled in a camp. What is
the maximum number of students allowed if there are 12 counselors?
what is the scale factor of 3x + 2, 3y -1?
(will give brainliest)
21 Line is mapped onto line m by a dilation centered at the origin with a scale factor of 2. The equation of line is 3x − y = 4. Determine and state an.
8. What is the slope of the line that goes through (8,8) and (4, 6)?
-1/2
1/2
-2
2
Answer:
Step-by-step explanation:
Slope is the change in y over the change in x.
m = (8 - 6) / (8 - 4) = 2/4 = 1/2
Answer:
1/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-8)/(4-8)
m=-2/-4
m=1/2
A car moving at a constant speed passed a timing device at t = 0. After 8 seconds, the car has
traveled 648 ft. Write a linear function rule to model the distance in feet d the car has traveled any
number of seconds t after passing the timing device.
The linear function rule is d =
Answer:answer d
Step-by-step explanation:
i just did the test
Helppp pleaseeee !!!
Answer:
Solution is (x+7)(x+8)
Step-by-step explanation:
1) Find what 2 numbers multiply to 56 (c value) and add to 15 (b value)
2) (x+7)(x+8)
I personally was taught this method and am unfamiliar with with the method shown on the worksheet. If my way is unclear, please feel free to ask any more questions you have.