Answer:
The length, breadth and height of cuboid are 60 cm, 40 cm and 20 cm.
Step-by-step explanation:
Let,
The height of cuboid be X cm.The length of cuboid is three times of it's height. So, it will be 3x.The breadth of cuboid is two times of it's height. So, it will be 2x.Now, substuting all the given values in the formula to find the value of x.
[tex]\longrightarrow{\sf{V_{(Cuboid)} = l \times b \times h}}[/tex]
➝ V = Volume ➝ l = length ➝ b = breadth➝ h = height[tex]\begin{gathered} \qquad\longrightarrow{\sf{V_{(Cuboid)} = l \times b \times h}}\\\\\qquad\longrightarrow{\sf{48000 = 3x \times 2x \times x}}\\\\\qquad\longrightarrow{\sf{48000 = 3x \times 2{x}^{2}}}\\\\\qquad\longrightarrow{\sf{48000 = 6{x}^{3}}}\\\\\qquad\longrightarrow{\sf{{x}^{3} = \dfrac{48000}{6}}}\\\\\qquad\longrightarrow{\sf{{x}^{3} = 8000}}\\\\\qquad\longrightarrow{\sf{x = \sqrt[3]{8000}}}\\\\\qquad\longrightarrow{\sf{x = 20}}\\\\ \qquad{\star{\underline{\boxed{\sf{\purple{x = 20}}}}}} \end{gathered}[/tex]
Hence, the value of x is 20.
Now, we know the value of x. So, calculating the dimensions of cuboid :
Length = 3x
➝ 3 × 20➝ 60 cmBreadth = 2x
➝ 2 × 20➝ 40 cmHeight = x
➝ 1 × 20➝ 20 cm[tex]\rule{300}{2.5}[/tex]
percent of change original:8 new :12
Answer:
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Step-by-step explanation:
What are u asking
Question 1 of 10
Using the graph as your guide, complete the following statement.
The discriminant of the function is
101
HA
-10
10
The discriminant of the function is positive
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the discriminant of the function be represented as D
Now , the value of D is
D = ( b² - 4ac )
And , when ( b² - 4ac ) is positive, we get two real solutions
When a quadratic function contacts the x-axis on two different occasions, the function should be positive in this case. When the quadratic function intersects the x-axis precisely on one occasion, the function should be equal to zero.
When the x-axis shouldn't cross the function graph, the function should be smaller than zero.
Hence , the discriminant of the function is positive
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The complete question is attached below :
Using the graph as your guide, complete the following statement.
The discriminant of the function is
What annual rate of interest compounded annually is required to double an investment in 6 years?
Answer:
Approximately 12.25%
Step-by-step explanation:
The compound interest formula is:
Final balance = Principal * (1 + interest rate/number of times interest compounded per year)^(number of times interest compounded per year * years elapsed)
If we want our final balance to be twice our principal, our formula looks like:
[tex]2P = P * (1 + \frac{r}{1})^{1*6}[/tex]
We can divide our principal from both sides to get the following equation:
[tex]2 = (1 + \frac{r}{1})^{6}[/tex]
Since anything divided by 1 is itself, we can simplify a little further to:
[tex]2 = (1 + r)^{6}[/tex]
Now, we need to solve for r. We can start by taking the sixth root of both sides.
[tex]\sqrt[6]{2} = 1 + r[/tex]
Then subtract 1 from both sides:
[tex]\sqrt[6]{2} -1 = r[/tex]
Finally, we can use a calculator to get a decimal approximation:
0.1225 ≅ r
12. The square root of a number is a whole number between 50 and 100. What do you know about the number?
13. Could the square root of a whole number ever be greater than the number is? Explain.
no links please thanks
Answer:The radical symbol √ is used to indicate the square root. For example, √16 = 4. The radical symbol is also called a root symbol or surds. If a number is a perfect square, we can easily find the squar
Step-by-step explanation:
Answer:
See belowStep-by-step explanation:
#12The square root of a number is a whole number between 50 and 100.
Let the number be n, given:
50 < √n < 100Square both sides:
50² < n < 100²2500 < n < 10000The number is a perfect square between 2500 and 10000.
#13Let the number is n:
√n > nSquare both sides:
n > n²n² - n < 0n(n - 1) < 0Solution is:
0 < n < 1The answer is yes, the number must be between 0 and 1.
what is 7/8 as a decimal rounded to the nearest thousandth
Answer:
0.875
Step-by-step explanation:
A quadratic function has zeros of 2 and 9. Which expression could define the function?
A. x²+18x+11
B. x²+11x+18
C. x²-11x+18
D. x²-18x+11
- Also could you show the work. I am trying to do test corrections and have no idea what I am doing.
Answer:
I think the answer is C. x²-11x+18
Step-by-step explanation:
I'm sorry I can't explain I'm busy right now
Match the expression to its simplified form
Answer:
2 exponent 5 = 32
5 exponent 3 = 125
2 - exponent 4 = 1/16
5 - exponent 2 = 1/25
Step-by-step explanation:
PLEASE HELP!
Using the diagram and information below to create and solve an equation. Don’t forget to show all of your work and label your answer.
m∠2 = (y + 10)° and m∠4 = (3y – 24)°
What is m∠2?
Answer:
m∠2 = 17°
Step-by-step explanation:
y + 10 = 3y - 24
34 = 2y
17 = y
Please help me what dos this mean? Giving brainliest
Answer:
Draw a picture of FOUR calculators and TWELVE pencils
Step-by-step explanation:
just double what you see in the picture
Find the quotient. Use a model to help you divide
6
.
15
÷
5
=
A.
1.03
B.
1.23
C.
1.3
D.
1.2
Answer:
Step-by-step explanation:
6.15/5=1.23
The answer is B.
Audrey and her sister found 9 dimes and 8 pennies. If they share the money equally, how much
money will each sister get?
Answer:
49 cents that is the answer
GIVING BRAINLIEST PLEASE HELP! :D
Answer:
x+20=41
Step-by-step explanation:
You already have some number of seashells, x, and add 20. Then you have 41, so:
x + 20 = 41
Hope that helps! :)
is this 8th grade class too
Answer:
I think so..I'm not really sure though, u know?
If A:B = 5:9 and B:C = 3:7, find A:B:C.
Answer:
15:27:63
Step-by-step explanation:
solve by multiplying the ratio by the opposing number.
a b b c
5 9 3 7
multiply 5 x 3 = 15
multiply 9 x 3 = 27
mutliply 9 x 7 = 63
How many arrangements can be made from the letters in the word PICCOLO
Answer:
1260Step-by-step explanation:
This is a permutation of 7 letters with double O and double C:
7!/2!2! = 5040/4 = 1260P = 1
I = 1
C = 2
O = 2
L = 1
--------
Total (n) = 7(k) = 2(C), 2(O)p = N! ÷ k!
p = 7! ÷ 2!2!
p = 5,040 ÷ 4
P = 1,260
b) Now, let’s try “what if”. What if you had medical bills for $10,000 for a minor surgery? What would each of the insurance policies pay if you had not yet paid any deductible? Remember that 20% is your part (coinsurance) so the insurer’s percent is 80% for the first formula. Show how you are getting the answer.
Formulas:
Insurer’s part of Medical Bill = (Bill – deductible) (80%)
Your part of medical bill = Total bill – Insurers part
• AAA+
Insurer’s Part of bill =
Your part of bill =
• Health Today
Insurer’s Part of bill =
Your part of bill =
• Best Insurance
Insurer’s Part of bill =
Your part of bill =
The insurer's part of the medical bill is 80 percent of the medical bill after deductible
The insurer would cover 80 percent of the insured's claims on the medical bill based on coinsurance agreement. However, the insured would have to pay deductible prior to coinsurance(80,20 share of bill)
Example: if insured's annual deductible is $2000 and coinsurance is 80:20, a medical bill of $10000, assuming the insured has not paid any deductibles, would amount to 80% of $8000(after subtracting deductibles) for the insurer"s cover and the rest for the insured.
Insurance deductibles are paid before your health plan covers its part of the medical bill, usually 80 percent.
Depending on your agreement with the insurer there could also be a copay on the insurance policy.
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A line passing through the point(-10,-5) and has a slope of -1/2
FACTORISATION
i) Factorise:
4a(a-b)+3b(b-a)
4a(a - b) + 3b(b - a)
= 4a² - 4ab + 3b² - 3ab
= 4a² - 4ab - 3ab + 3b²
= 4a² - 7ab + 3b²
= (a - b) (4a - 3b)
________
Hope it helps ⚜
n^2+6n+c
Find the value of c that completes the square
Answer:
The value of ”c” can by found by this formula: (b/2)^2. In this equation the ”b” is 6. So, (6/3)^2=3^2=9.
The value of “c” that completes the square is 9.
:)
solve pls brainliest
Answer:
0.28 repeating- yes, this is a repeating decimal
0.74...- yes, this is a repeating decimal
0.3162..- no, this is a decimal that neither terminates nor repeats
0.816..- yes, this is a terminating decimal
Step-by-step explanation:
Terminating decimals:
a decimal that comes to an end, has a finite number of decimal placescan be expressed/written as a fraction Example: 0.25Repeating decimals:
a decimal that has has digit/digits that repeat over and over (go to infinity)can be expressed/written as a fractionexample: 0.333333333...Non-terminating, Non-repeating decimals:
a decimal number that continues on forever with no group of digits being repeated (the digits are basically randomized)cannot be expressed/written as a fractionexample: πDoes this graph represent a function? Why or why not?
A. No, because it fails the vertical line test.
B. No, because it is not a straight line.
C. Yes, because it is a curved line.
D. Yes, because it passes the vertical line test.
Answer:
A. No, because it fails the vertical line test.
Step-by-step explanation:
A because is dosent pass the vertical line test
1
Leo reads 11 pages in hour. What is the unit rate for pages per hour? For hours per page?
4
The unit rate is page(s) per hour.
Answer:
it is 11 pages per hour
Step-by-step explanation:
so if you have 11 in a hour it should be 11 pages per hour
Which inequality represents this graph?
A) y ≤ 1/3x - 1
B) y > 1/3x - 1
C) y ≥ 1/3x - 1
D) y < 1/3x - 1
Answer:
D) y < 1/3x - 1
Step-by-step explanation:
the equation of the line is y= 1/3x-1, then the dark part represents all the values that less than the values of y. The broken line means 'strongly', then the sign should be '<'.
Elizabeth writes down: One multiple of 13; and Two different factors of 77. Elizabeth adds up her three numbers. Her answer is greater than fifty but less than sixty. What three numbers could Elizabeth have written down?
Answer:
7, 11, 39 OR -26, 1, 77;
Step-by-step explanation:
Mumble. Let's call the first number 13k, which is obviously a multiple of 13.
The factor of 77 are easy to find. It's either 77 and 1, or 11 and 7.
Now two cases. If we consider negative multiples of 13 (ie, -39 is -3 times 13) we can use the first pair (77 and 1, who sum up to 78, and start taking 13 from it as many times as we need to get to our interval.
1st pass: 78-13 = 65 out
2nd pass: 65-13 = 52 in
3rd pass : 52 - 13 = 39 out
So a possible triplet is 77, 1 and -26.
Case two: we aren't allowed to take negative numbers, and 77 and 1 will bring out of our range already. Let's stick to 11 and 7, who sum up to 18. Again, let's keep adding 13 as many times as we need
1st pass: 18+13 = 31, no good
2nd pass: 31+13 = 44, out again
3rd pass: 44+13= 57, we're good!
4th pass: 57+13 = 70, too far.
So another possible triplet is 7, 11, 39.
The moment you allow the product of the second and third number to be rationals will open a whole new can of worm that isn't any close to be interesting or fun to explore.
Help will give brainiest as long as you explain and theres more than 2 people who answered.
Answer:
x = 117º
Step-by-step explanation:
Supplement to 117 is
180 - 117 = 63
The angle below line BC is marked as congruent to the 63º angle and is therefor also 63º
Therefor x is the supplement to 63º
180 - 63 = 117º
x = 117º
Which expression is equivalent to (-x-16)
-x-16?
X-+16
-X+16
X-16
Answer:
- x - 16
Step-by-step explanation:
What is dehydrogenation ?
Answer:
Dehydrogenation is the a chemical reaction that involves the removal of hydrogen, usually from an organic molecule. It is the reverse of hydrogenation. Dehydrogenation is important, both as a useful reaction and a serious problem.
An average clementine is shaped like a sphere and has a diameter of 3.5 inches. What is the volume of the fruit? Use 3.14 for pi. Round your answer to the nearest hundredth. (4 points)
a
20.45 cubic inches
b
21.34 cubic inches
c
22.44 cubic inches
d
23.78 cubic inches
Answer:
Calculate the average rate of change for the graphed sequence from n = 1 to n = 3.
graphed sequence showing point 1, 2, point 2, 4, point 3, 8, point 4, 16, point 5, 32, and point 6, 64
1
2
3
6
Step-by-step explanation:
Answer:
c
Step-by-step explanation
First you have to find the radius.
3.5 divide by 2 = 1.75
v= 4/3 pi r ^3
v = 4/3 (3.14) (1.75)^3
v= 4/3 (3.14) (5.36)
v= 4/3 (16.83)
v= 4/3 (16.83) = (4/3) (16.83/1)
v= (4/3) (16.83/1) = 67.32/3 = 22.44
2 tbsp. of peanut butter have 0.25 of total carbohydrate a day what fraction is that?
0.25 is 1/4 if that's what youre asking, i'm not sure,
What is the sum of the first 10 terms of the geometric series 2 + 6 + 18 + 54 + 162 + ...?
2 + 6 + 18 + 54 + ...
This is a geometric sum and there is a way to find the sum of however many terms as you would like.
The initial term is S1 = 2, the ratio of successive terms is r = 3.
The sum for a geometric sequence of the first n terms is given by
Sn = S1(1 - rn)/(1 - r)
Apply this formula for n = 10.