Answer:1/4
Step-by-step explanation:
If 1,200 cm2 of material is available to make a box with a square base and an open top, find the maximum volume of the box in cubic cm. For example, if the answer is 2,000 cm3 write 2000.
Answer:
4000cm³Step-by-step explanation:
Volume of the rectangular box = x²h
Surface area S = x²+4xh
x is the side length of the square base
h is the height
Given
Surface area = 1200cm²
Substitute into the formula S = x²+4xh
1200 = x²+4xh
From V = x²h
h= V/x²
1200 = x² + 4x (V/x² )
1200 = x² + 4V/x
1200x = x³ + 4V
1200x - x³ = 4V
V = 1200x/4- x³/4
V = 300x - x³/4
To maximize the volume, dV/dx = 0
dV/dx = 300 -3x²/4
0 = 300 -3x²/4
0 = 1200 - 3x²
3x² = 1200
x² = 400
x = 20cm
Since 1200 = x²+4xh
1200 = 400+80h
80h = 1200-400
80h = 800
h = 10cm
Find the volume;
Volume = 400 * 10 Volume -= 4000
Hence the maximum volume of the box in cubic cm is 4000 cm³
in a survey of 1,200 people who owned a type of car 660 said they would buy the same car again
Answer:
its 1,200 - 660= 540
Step-by-step explanation:
Find the sum of the arithmetic progression 1,4,7,10,13,16 .Every third term of the above progression is removed i.e 7,16. Find the sum of the remaining terms
Answer:
The sum of the arithmetic progression is 51
The sum of the remaining terms is 28
Step-by-step explanation:
Sum of terms of an arithmetic progression
Being a1 the first term of an arithmetic progression, an its last term, and n the number of terms, the sum of all terms is calculated as:
[tex]\displaystyle S_n=\frac{a_1+a_n}{2}\cdot n[/tex]
We are given the progression:
1,4,7,10,13,16
We need to check if the list of numbers is a progression. The difference between consecutive terms must be equivalent.
Since:
4 - 1 = 3
7 - 4 = 3
10 - 7 = 3
And the rest of the differences also result in 3, the series of numbers has a common difference of 3.
The progression has the following parameters:
a1=1, an=16, n=6
Let's find the sum:
[tex]\displaystyle S_6=\frac{1+16}{2}\cdot 6[/tex]
[tex]\displaystyle S_6=\frac{17}{2}\cdot 6[/tex]
[tex]S_6=51[/tex]
The sum of the arithmetic progression is 51
If we removed the terms 7 and 16, the new sum is:
51 - 7 - 16 = 28
The sum of the remaining terms is 28
help I don't know any real life situations
Answer:
What is the situation?
Step-by-step explanation:
Answer:
What do you need my guy
Step-by-step explanation:
Talk in the chat below.
coach and is setting up a 2.7 km race she uses flags to mark off 9 equal sections of the race how far apart should she space the flags to mark off the sections how far apart should coach and space the flags
Answer:
sdfcvnfkfnfndhxbxbb
jfjdjdnxnnjuhvun9
Step-by-step explanation:
dhdbdbbddnxn
who ever gets this right will get brainleist
Which table has a constant of proportionality between yyy and xxx of 1.51.51, point, 5?
Choose 1 answer:
Choose 1 answer:
(Choice A)
Answer:
Need more info
Step-by-step explanation
Mr. Hayes has 111 straw bundles to use for bedding in his horse stalls. what is the greatest number of stalls he can fill if each stall holds exactly 4 bundles of straw?
Answer:27
Step-by-step explanation:
Find the sum or difference.
(4y + 3) - (y – 2)
SHOW ALL THE WORK THAT YOU DID TO FIND THIS ANSWER for points!
If a triangle has angle measures of 114°, 25° and 41°, it can be classified as?
equiangular
right
obtuse
acute
Answer:
obtuse
Step-by-step explanation:
as one angle is bigger than 90°
PLEASE HELP I NEED ASAP
Answer:
no your answer is correct :)
Help I will give brainiest to the one who answers it correctly
Answer:
x = 2
Explanation:
[tex]\frac{3x-1}{5} =\frac{x+1}{3}[/tex]
First, make sure they both have common denominators ( 15 )
5 × 3 = 15 and 3 × 5 = 15
Whatever you do to the denominator you have to apply to the numerator. So, multiply the numerator and denominator of the first fraction by 3.
[tex]\frac{3*(3x-1)}{3*5}[/tex] = [tex]\frac{3(3x-1)}{15}[/tex]
Next, multiply the numerator and denominator of the second fraction by 5.
[tex]\frac{5*(x+1)}{5*3}[/tex] = [tex]\frac{5(x+1)}{15}[/tex]
Now we have: [tex]\frac{3(3x-1)}{15} =\frac{5(x+1)}{15}[/tex]
Use distributive property on the numerators of both fractions.
[tex]\frac{9x-3}{15} =\frac{5x+5}{15}[/tex]
Since the denominators are equal we can ignore them for now and find x.
9x - 3 = 5x + 5
We need to move like terms to different sides to isolate x. First, we can subtract 5x from both sides.
9x - 5x - 3 = 5x - 5x +5
4x - 3 = 5
Then, we can add 3 to both sides to cancel out the -3.
4x - 3 + 3 = 5 + 3
4x = 8
Finally, to find x we divide both sides by 4.
4x ÷ 4 = 8 ÷ 4
x = 2
can u pls help me with this question
Mike is making a scale model of his favorite car. The actual car is 9 feet long and 3 feet wide. Mike wants his model to be 12 inches in length. Which would be the width of his model if he uses the same ratio?
Answer:
6
Step-by-step explanation:
if you do the ratio 9/12 and 3/x and cross multiply, x=6... I believe
Because
x y
6 10
12 20
15
45
can you feel in the blanks
Answer:
First blank would be 25, Second blank would be 75.
Step-by-step explanation:
In order to figure out the blanks, we must figure out the original function first.
How do we do that?
-> we put in the points that we already have- in to equation:
y = ax + b
If we put the 6, 10 in to x, y , we would get :
10 = 6a + b
If we put the 12, 20 in to x, y , we would get :
20 = 12a + b
because these share the "+b" they can be subtracted.
10 = 6a + b
- 20 = 12a + b
--------------------------------------
and this would be :
-10 = -6a, a = 5/3.
we can partly complete the equation.
y = 5/3x + b, and by putting in the numbers, we can figure out that b=0.
The full equation have : y = 5/3x
now, put 15 and 45 in to the x and see what you get!
y=25, 75
Have a nice day :)
Find the difference between 290,500 and 34,723.
Answer:
255,777
Step-by-step explanation:
290,500 - 34,723 = 255,777
What is the value of x in the solution to this system of equations?
4x+7y=85
x=2y−5
A. x = -9
B. x = 9
C. x = 8
D. x = 3
Answer:
B
Step-by-step explanation:
I used substitution to solve this system. I'll run through all of my steps below:
[tex]4x+7y=85\\x=2y-5[/tex]
I'm going to replace the 'x' values in the first equation with the entire second equation.
[tex]4(2y-5)+7y=85[/tex]
[tex]8y-20+7y=85\\15y-20=85\\15y=105\\y=7[/tex]
Now that we know what y equals, we can go back and solve for x.
[tex]x=2(7)-5\\x=14-5\\x=9[/tex]
Hope this helps!
5w 2-6 + 11 help pls
Answer: 10w+5
Step-by-step explanation:
Step One- Simplify step by step.
5w(2)-6+11
10w+-6+11
Step Two- Combine Like Terms.
10w+-6+11
(10w)+(-6+11)
10w+5=Answer.
Is 1.0277 a rational number
Answer:
yes its a rational number.
Step-by-step explanation: your welcome
Which equation is graphed below?
What is the surface area of the cylinder?
Answer:
28.27
Step-by-step explanation:
Please give me the correct answer.
Answer:
n=-6/4
Step-by-step explanation:
4n+40=34
-40. -40
4n=-6
divide by sides by 4
so n equals -6/4
Item 20
Multiply. Write your answer in the simplest form.
−23⋅(212)⋅(−3)=
Answer:
Step-by-step explanation:
14628
A grocer is mixing 40 cents per lb. coffee with 60 cents per lb. coffee to make a mixture worth 54c per lb. How much
of each kind of coffee should be used to make 70 lb. of the mixture?
Answer:
21 , 49
Step-by-step explanation:
The fair charges an entrance fee of $10, and each ride costs $2. 1) Write an equation relating number of rides r, to the total cost of attending the fair C. 2) What is the dependent variable? 3) What is the independent variable?
Answer:
1) y = $10 + $2x
2) independent variable is the number of rides (x)
3) dependent variable in this equation is the total cost (y)
Step-by-step explanation:
In this scenario, we have two fixed values and two variables which would be the number of rides (x) and the total cost (y). Therefore, since the entrance fee is a fixed value it is added to the cost of each ride which is multiplied by the number of rides represented by the variable (x).
y = $10 + $2x
In this equation, the independent variable is the number of rides (x) because it is a separate value from the equation and does not depend on any other value. The dependent variable in this equation is the total cost (y) which depends on the number of rides that the individual goes on in order to have its own value.
Find the
compound interest:
Principal: $1735
Interest Rate: 1.6%
Time: 24 years
Answer:115.6
Step-by-step explanation:
square root of 40???
im deparate
Answer
HOPFULLY THE EXPLANATION HELPS IF NOT JUST LOOK UP square root of 40???
6.324555320
Step-by-step explanation:
Here we will define, analyze, simplify, and calculate the square root of 40. We start off with the definition and then answer some common questions about the square root of 40. Then, we will show you different ways of calculating the square root of 40 with and without a computer or calculator. We have a lot of information to share, so let's get started!
Square root of 40 definition
The square root of 40 in mathematical form is written with the radical sign like this √40. We call this the square root of 40 in radical form. The square root of 40 is a quantity (q) that when multiplied by itself will equal 40.
√40 = q × q = q2
Is 40 a perfect square?
40 is a perfect square if the square root of 40 equals a whole number. As we have calculated further down on this page, the square root of 40 is not a whole number.
40 is not a perfect square.
Is the square root of 40 rational or irrational?
The square root of 40 is a rational number if 40 is a perfect square. It is an irrational number if it is not a perfect square. Since 40 is not a perfect square, it is an irrational number. This means that the answer to "the square root of 40?" will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.
√40 is an irrational number
Can the square root of 40 be simplified?
You can simplify 40 if you can make 40 inside the radical smaller. We call this process "to simplify a surd". The square root of 40 can be simplified.
√40 = 2√10
How to calculate the square root of 40 with a calculator
The easiest and most boring way to calculate the square root of 40 is to use your calculator! Simply type in 40 followed by √x to get the answer. We did that with our calculator and got the following answer with 9 decimal numbers:
√40 ≈ 6.324555320
How to calculate the square root of 40 with a computer
If you are using a computer that has Excel or Numbers, then you can enter SQRT(40) in a cell to get the square root of 40. Below is the result we got with 13 decimals. We call this the square root of 40 in decimal form.
SQRT(40) ≈ 6.3245553203368
What is the square root of 40 rounded?
The square root of 40 rounded to the nearest tenth, means that you want one digit after the decimal point. The square root of 40 rounded to the nearest hundredth, means that you want two digits after the decimal point. The square root of 40 rounded to the nearest thousandth, means that you want three digits after the decimal point.
10th: √40 ≈ 6.3
100th: √40 ≈ 6.32
1000th: √40 ≈ 6.325
What is the square root of 40 as a fraction?
Like we said above, since the square root of 40 is an irrational number, we cannot make it into an exact fraction. However, we can make it into an approximate fraction using the square root of 40 rounded to the nearest hundredth.
√40
≈ 6.32/1
≈ 632/100
≈ 6 8/25
What is the square root of 40 written with an exponent?
All square roots can be converted to a number (base) with a fractional exponent. The square root of 40 is no exception. Here is the rule and the answer to "the square root of 40 converted to a base with an exponent?":
√b = b½
√40 = 40½
How to find the square root of 40 by long division method
Here we will show you how to calculate the square root of 40 using the long division method with one decimal place accuracy. This is the lost art of how they calculated the square root of 40 by hand before modern technology was invented.
Step 1)
Set up 40 in pairs of two digits from right to left and attach one set of 00 because we want one decimal:
40 00
Step 2)
Starting with the first set: the largest perfect square less than or equal to 40 is 36, and the square root of 36 is 6. Therefore, put 6 on top and 36 at the bottom like this:
6
40 00
36
Step 3)
Calculate 40 minus 36 and put the difference below. Then move down the next set of numbers.
6
40 00
36
4 00
Step 4)
Double the number in green on top: 6 × 2 = 12. Then, use 12 and the bottom number to make this problem:
12? × ? ≤ 400
The question marks are "blank" and the same "blank". With trial and error, we found the largest number "blank" can be is 3. Now, enter 3 on top:
6 3
40 00
36
4 00
That's it! The answer is on top. The square root of 40 with one digit decimal accuracy is 6.3.
Answer:
20
Step-by-step explanation:
i think
Factor the expression using the GCF. 76d-24=
Answer:
Factoring the expression [tex]76d-24[/tex] using the GCF we get [tex]\mathbf{4(19d-6)}[/tex]
Step-by-step explanation:
We need to factor the expression using the GCF : [tex]76d-24[/tex]
GCF stands for greatest common divisor.
We need to find the greatest number that is divisible by both terms.
The greatest number that is divisible by both terms is 4
So, Now factoring the term:
[tex]76d-24\\=4(19d-6)[/tex]
So, factoring the expression [tex]76d-24[/tex] using the GCF we get [tex]\mathbf{4(19d-6)}[/tex]
Lindsey has 16 inches of ribbon.She buys another 4 lengths, each 5 inches long. How much ribbon does she have now ?
Answer:
she now has 36 inches of ribbon
Step-by-step explanation:
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Answer:
36 inches of ribbon
Step-by-step explanation:
5x4=20 20+16=36
Christopher uses 2/3 cup of ice cream to make a root beer float, Sean uses 7/12 cup of ice cream, and Jennifer uses 5/8 cup of ice cream. Which of the following. correctly compares the three amounts of ice cream?
A. 2/3>7/12>5/8
B. 2/3>5/8>7/12
C. 7/12>5/8>2/3
D. 7/12>2/3>5/8
Answer: It could be B.
Step-by-step explanation:
If the changes in sales between May and June continue at the same percent rate, how many Dinztop computers will be sold in July?
a.
73
b.
98
c.
142
d.
184
Answer:
The answer is "98".
Step-by-step explanation:
In this question, the chart is missing, and by searching the question we find the correct choice, which is defined in the answer part.
Answer:
The answer is "98".
Step-by-step explanation:
In this question, the chart is missing, and by searching the question we find the correct choice, which is defined in the answer part.