Answers
24 is not a perfect square.
What is a Perfect Square ?A perfect square is a number that can be written as a product of an integer and another integer itself.
To determine the square root of 24
24 = 6 * 4
6 square can be drawn of 4 small squares
[tex]\rm \sqrt {24} = \sqrt{ 4*6} \\\\=\sqrt{4} * \sqrt{6} \\\\= 2 \sqrt{6}[/tex]
Therefore 24 is not a perfect square.
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Related Questions
In a semiconductor company's quality control test, a machine found that 14 out of a sample of 234 computer chips were defective. How many of the 4705 such chips that the company makes each month would you expect to be defective?
Answers
Answer:
281-282
Step-by-step explanation:
An open-top box is to be made from a 12-inch by 24-inch piece of plastic by removing a square from each corner of the plastic and folding up the flaps on each side. What is the maximum possible volume, in cubic inches, of the box?
Answers
Answer:
The maximum possible volume = 332.685 cubic inches
Step-by-step explanation:
From the information given:
Let the height be = x
The length be = 24 - 2x
The width be = 12 - 2x
Then V = x (24 -2x) ( 12 - 2x)
V = x ( 288 -48x - 24x +4x²)
V = x(288 - 72x + 4x²)
V = 288x - 72x² + 4x³
[tex]\dfrac{dV}{dx}= (3x^2 - 36x+ 72)[/tex]
[tex]\implies x^2 - 12x + 24 = 0[/tex]
[tex]=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]=\dfrac{-(-12) \pm \sqrt{(-12)^2 - 4(1)(24)}}{2(1)}[/tex]
[tex]=\dfrac{12 \pm \sqrt{144 - 96}}{2}[/tex]
[tex]=\dfrac{12 \pm \sqrt{48}}{2}[/tex]
where;
[tex]x \ne \dfrac{12 + \sqrt{48}}{2}[/tex]
∴ [tex]x= \dfrac{12 - \sqrt{48}}{2}[/tex]
x = 2.536 ( since the length cannot be negative)
So, the length x = 24 - 2(2.535) = 18.93
The width = 12 - 2(2.535) = 6.93
heigth = 2.536
∴
V = 18.93 × 6.93 × 2.536
V = 332.685 cubic inches
A box is made from a plastic sheet by removing square from each corner, maximum volume of this box will be 332.55 cubic inches.
Volume of a cuboid: Volume of a cuboid or rectangular box is given by the expression,Volume = Length × Width × Height
Given in the question,
Plastic sheet with length = 12 inches Width of the sheet = 24 inches A square has been removed from each corner to fold the box.Let the measure of each side of a square removed = x inches
Therefore, length of the box = (12 - 2x) inches
Width of the box = (24 - 2x) inches
Height of the box = x inches
Volume of the box (V) = (12 - 2x) × (24 - 2x) × (x)
V = 4x³ - 72x² + 288x
To find the maximum volume of the box differentiate the expression with respect to 'x' and equate it to zero.
V' = 12x² - 144x + 288
For V' = 0,
12x² - 144x + 288 = 0
x² - 12x + 24 = 0
[tex]x=\frac{12\pm\sqrt{(12)^2-4(1)(24)} }{2(1)}[/tex]
[tex]x=(6\pm2\sqrt{3})[/tex]
[tex]x=9.46,2.54[/tex]
For x = 9.46,
Volume of the box = 4(9.46)³- 72(9.46)² + 288
= -2769.03 cubic inches
For x = 2.54,
Volume of the box = 4(2.54)³- 72(2.54)² + 288
= 332.55 cubic inches
Therefore, maximum volume of the box will be 332.55 cubic inches.
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write an equation of the line with a slope of -3/4 and y-intercept of -6
Answers
Answer:
y = -3/4x - 6
Step-by-step explanation:
the square of a number equals five times that number find number.
A. 0 or 1
B. 0 or 3
C. 0 or 5
D. 0 or 7
Answers
Answer:
x²=5x
x=5... probably c
If the measures of Angle 3 is 46 degrees , how much is the measure of angle 6?
Answers
Answer:
Angle 6 = 46°
Step-by-step explanation:
They are alternate interior angles which mean they are congruent
Pretty easy if you know what you’re doing lol please helpppp Bc idk what I am doingggy
Answers
Hope this helps and I can get the brainliest
Stephen goes to the fair and buys two funnel cakes and one drink. His total bill is $6.75. A few days later, he goes with a friend and buys three funnel cakes and two drinks. This time his total bill is $11.
Write two equations that could be used to determine how much each funnel cake and drink costs. Use f for the cost of a funnel cake and d for the cost of a drink.
What is the cost of a funnel cake?
What is the cost of a drink?
Answers
Answer:
Let's define the variables:
f = Cost per cake
d = Cost per drink.
"Stephen goes to the fair and buys two funnel cakes and one drink. His total bill is $6.75. "
2*f + 1*d = $6.75
"A few days later, he goes with a friend and buys three funnel cakes and two drinks. This time his total bill is $11."
3*f + 2*d = $11.
Then we have a system of equations:
2*f + 1*d = $6.75
3*f + 2*d = $11.
To solve this, the first step is to isolate one of the variables in one of the equations, let's isolate d in the first equation:
d = $6.75 - 2*f
Now we can replace this in the other equation:
3*f + 2*($6.75 - 2*f) = $11
3*f - 4*f + $13.50 = $11
-f = $11 - $13.50 = -$2.50
f = $2.50
Then the cost of a funnel cake is $2.50
And the cost of a drink can be obtained with the equation:
d = $6.75 - 2*f = $6.75 - 2*$2.50 = $1.75
The cost of a drink is $1.75
y=_x+_ what would be the answer
Answers
Answer:
y = -1/4x + 2
Step-by-step explanation:
slope = rise over run
-1 rise for 4 run
y intercept = 2
y = -1/4x + 2
A fish makes 480 dives on 10 hours at this rate how many dives did the fish do in 4 hours
Answers
Answer: 1200
Step-by-step explanation:
Answer:
192
Step-by-step explanation:
First, you would divide 480 by 10 to get 48 because you divide by the number of hours.
Then, multiply 48 by 4 to get your answer.
The answer: 192
What is the volume, measured in cubic centimeters, of the box below? Do not
include units in your answer.
4 cm
5 cm
1 cm
Answers
Answer:
20
Step-by-step explanation:
4 × 5 × 1 = 20 (cm³)
Hope it help, please give me Brainlest!
Answer:
20
Step-by-step explanation:
The formula for volume:
[tex]V=length*width*height\\\\V=lwh[/tex]
Multiply all given values together:
[tex]V=4*5*1\\\\V=20*1\\\\V=20[/tex]
The volume of the box is 20cm³.
:Done
Note:
"Cubic" centimeters means cm³. The exponent is used because you multiplied 3 dimensions.
Another example would be with area. To find this, you multiply length by width, resulting in area², because you mutliplied 2 dimensions.
Find the exact volume of a waffle ice cream cone with 15-in. Diameter and a height of 23 inches
Answers
Volume of cone: pi(r)^2*h/2
= pi(7.5)^2*23/2
pi(56.25) * 23/2
(3.14)(56.25)(23)/2 = 2,031 inches
Question 3 :
Furniture of vendor firm recorded in
the books at Rs.2,50,000, were taken
over by the partner at an agreed
value of Rs.1,75,000, the amount to
be debited to partners' capital
account will be:
Rs. 2,50,000
Rs.75,000
Rs.4,25,000
Rs. 1,75,000
Answers
Answer:
Rs. 2,50,000
Step-by-step explanation:
When a partnership distributes inventory items (hot asset) to its partners, the basis of the inventory items is used to record the transaction. Only when partnerships distribute assets other than hot assets will the fair market value of the assets be used to record the transaction.
The logic is that inventory items are valued at lower of cost or market value. This means that inventory items are already valued at FMV or cost, whichever is less. If the partnership recorded the transaction using Rs.1,75,000, then it would have to record a loss, and distributions cannot generate losses to a partnership. The only way to record the inventory items at Rs.1,75,000 is that previously the partnership writes down inventory.
Alex placed a classified ad in the local newspaper to sell his used Nissan Sentra. He plans to write a 9 line ad. The newspaper charges $17.50 for the first three lines (total) and then $8.25 for each extra line. How much will Alex pay for the ad?
Answers
Answer:
$67 total
Step-by-step explanation:
9-3= 6
6(8.25)= 49.50
49.50+17.50= $67
Answer:
$67.00
Step-by-step explanation
17.50 (first 3 lines) + 8.25 (for each of the 6 lines left)
17.50 + (8.25*6) =
17.50 + 49.50 =
67
A liquid storage container is leaking at a rate of 2/3 gallon every 1/4 hour. What is the unite rate?
Answers
Answer:
2 gallons an hour
Step-by-step explanation:
This is a fraction equal to
2 gal ÷ 1 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 1
2 gal
÷ 1
1 hours
÷ 1
=
2 gal
1 hour
=
2 gal
hour
= 2 gal per hour
Answer:
3/8
Step-by-step explanation:
1/4 ÷ 2/3 = 3/8
Which of the following shows the best communicative property of addition ?
4+5=4-(-5)
4+5=9
4+5=5+4
4+5=4+(2+3)
Answers
Answer:
In the given options, 4+5 = 5+4 shows the best commutative property.
Step-by-step explanation:
One of the properties that can be applied on numbers is commutative property. Commutative property states that the order of the numbers on which any operation is being performed, can be swapped and the answer won't change.
Commutative property can be applied on addition, subtraction and multiplication.
Commutative property of Addition:
Commutative property of addition states that changing the order of adding two numbers does not change the result i.e. a+b = b+a
In the given options, 4+5 = 5+4 shows the best commutative property.
Find the PERCENT of change.
20 dogs to 5 dogs
Answers
Answer:
75%
Step-by-step explanation:
20-5=15 - change in numbers
15/20×100%= 75%
A rectangle is 3/5 red. The rest is blue and yellow, but not in equal ratios. What could those ratios be? PLEASE HELP
Answers
Which of the following describes the following graph?
A. Function only
B. Relation only
C. Neither funtion or relation
D. Both a function and a relation
Answers
There are 3 cats in a room and no other creatures.each cat has 2 ears, 4 paws, and 1 tail
Answers
So there is a total of 6 ears, 12 paws, and 3 tails in the room.
Answer:
In the room there should be 6 ears, 12 paws, and 3 tails in total.
How much does Kelly make an hour if she worked 35 hours and made $323.75 this
week?
Answers
Answer: $9.25 an hour
Step-by-step explanation:
which of the following can be used to show that these triangles are congruent?
Answers
Answer:
ASA
Step-by-step explanation:
Angle B side BC and angle C
Triangle ABC and CDE are congruent by ASA congruence. Therefore, option E is the correct answer.
In the given figure, ΔABC and ΔCDE.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
Here,
Consider ΔABC and ΔCDE, we get
∠B = ∠E (Given)
BC=CE (Given)
∠BCA = ∠ECD (Vertically opposite angles)
By ASA congruence, ΔABC≅ΔCDE
Triangle ABC and CDE are congruent by ASA congruence. Therefore, option E is the correct answer.
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On the first math exam, 16 students received an A grade. On the second math exam,
12 students received an A. grade. What percentage decrease is that?
Answers
Answer: that four of them are stupid
Step-by-step explanation:
Answer:
25% :D
Step-by-step explanation:
x+ y + z = -3
3y - Z = 4
2x- y - 2z = -5
Answers
Answer:
(-3, 1, -1)Step-by-step explanation:
x + y + z = -3 --> (1) 3y - z = 4 --> (2)2x - y - 2z = -5 --> (3)Add up (1) and (2)
x + 3y + y + z - z = -3 + 4 ⇒ x + 4y = 1 --> (4)Double (2) and subtract from (3)
2x - y - 2z - 2(3y - z) = -5 - 2(4) ⇒ 2x - y - 2z - 6y + 2z = -5 - 82x - 7y = -13 --> (5)Double (4) and subtract (5)
2(x + 4y) - 2x + 7y = 2 + 13 ⇒ 2x + 8y - 2x + 7y = 15 ⇒ 15y = 15 ⇒ y = 1Finding x
x + 4(1) = 1 ⇒ x = 1 - 4 ⇒ x = -3Finding z
-3 + 1 + z = -3 ⇒ z = -1So the answer is:
(-3, 1, -1)Help please I am begging
Answers
Answer:
The answer is A, 3.50w.
Step-by-step explanation:
When there is 1 pound, it is 3.50. 2 pounds it's 7.00 which is 3.50 times 2.
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An N-scale model railroad caboose is 3 inches long. N scale is 169 feet to 1 foot.
Let c represent the length of a real caboose. Write a proportion, in terms of c, that can be used to solve for the length of a real caboose. (Hint: Compare feet to inches. How many inches are in one foot?)
How long (in feet) is a real caboose?
ft
Answers
9514 1404 393
Answer:
c/3 = 169/1242 1/4 feetStep-by-step explanation:
Since we want to know the actual number of feet, we can write the proportion with that in the numerator.
[tex]\dfrac{\text{actual feet}}{\text{scale inches}}=\boxed{\dfrac{c}{3}=\dfrac{169}{12}}\\\\c=\dfrac{3\cdot169}{12}=42\frac{1}{4}\qquad\text{multiply by 3}[/tex]
The real caboose is 42 1/4 feet long.
Find the slope of the line containing the points (10,400) and (50, 900). Write your answer as a simplified fraction
Answers
Answer: 25
2
Step-by-step explanation:
900 - 400 = 500 = 25
50 - 10 = 40= 2
Solve for x.
14 = 28 + 7x
Answers
Answer:
X = 2
Step-by-step explanation:
14= 28 + 7x
28 - 14 = 7x
14 = 7x
14 / 7
2 = x
Answer:
x = − 2
Step-by-step explanation:
The perimeter of the blueprint is represented by the equation P=8x. What is the equation of the perimeter when solved for x
Answers
Answer:
x = P/8
Step-by-step explanation:
The perimeter of the blueprint is given by the equation :
P = 8x
We need to solve the above equation for x.
Dividing both sides of the equation by 8.
[tex]\dfrac{P}{8}=\dfrac{8x}{8}\\\\x=\dfrac{P}{8}[/tex]
Hence, the value of x is P/8
Which multiplication expression is equal to 1/4 divided by 1/3
Answers
OR
4 x 1/3
You flip one fraction
Find an expression for the nth term of the arithmetic sequence.
2, 8, 14, 20, 26, . . .
Answers
Answer:
44
Step-by-step explanation:
Math boi