The volume of the fiberglass shell is nearly = 508.2 in³
What exactly is volume?Volume is just a three-dimensional quantity used to determine a solid shape's capacity. It indicates that the volume of a closed figure decides how much of three-dimensional space it can occupy.
What is the definition of volume and an example?The capa.city of an object is measured by its volume. A cup's volume is 100 ml if it can carry 100 ml of water higher than or equal to the brim. A 3-dimensional object's volume can alternatively be described as the amount much space it takes up.
According to the given data:Cube side are 11 inches.
cube is covered with a coat of fiber glass 0.1 inch
need to find the volume of fiberglass.
area of cube = 6(11)²
= 6(121)
= 726 inch².
thickness of fiberglass = 0.7 inch.
dv ≅ ads
= 726(0.7)
= 508.2 in³
The volume of the fiberglass shell is nearly = 508.2 in³.
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Rewrite one sixth times x cubed times y plus five sixths times x times y squared using a common factor.
one third times x times y times the quantity x squared plus 5 times y end quantity
one third times x times y times the quantity 3 times x squared plus 15 times y end quantity
one sixth times x times y times the quantity x squared plus 5 times y end quantity
one sixth times x cubed times y squared times the quantity y plus 5 times x end quantity
The final expression after using a common factor is:
Option C - one-sixth times x times y times the quantity x squared plus 5 times y end quantity
i.e (1/6)xy ( x² + 5y )
What is an expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
We have,
one-sixth times x cubed times y plus five-sixths times x times y squared.
This can be written as:
(1/6)x³y + (5/6)xy²
Taking out (1/6)xy as the common factor.
(1/6)xy ( x² + 5y )
Thus the expression after using a common factor is:
one-sixth times x times y times the quantity x squared plus 5 times y end quantity
i.e (1/6)xy ( x² + 5y )
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Answer:
Option c it's obvious
Step-by-step explanation:
Find the formula for the nth term of the following sequence:
17, 28, 39, 50...
Answer: 17, 28, 39, 50, ..., 11n+6
Step-by-step explanation:
17, 28, 39, 50, ...
28-17=11
39-28=11
50-39=11
Hence,
This is an arithmetic progression where a₁=17 and d=11
Use the formula for an arithmetic progression:
[tex]a_n=a_1+(n-1)d\\a_n=17+(n-1)11\\a_n=17+11n-11\\a_n=11n+6[/tex]
The linear function that is represented by which table has the same slope as the graph? (the tables are the choices)
Answer: Table 3,
x : -9 -7 -5 -3 -1
y: -25 -21 -17 -13 -9
has same slope as line given equal to 2.
Step-by-step explanation:
Slope between two points having coordinates, (x1, y1) (x2,y2) which lie in a coordinate plane is given by:
coordinate plane is given by:
= (y2 - y1) / (x2 - x1)
Slope of linear function given in table 1, can be calculated byWe can see table 1,
Then we can write,
= (-7 - (-9) ) / (-21 - (-25) )
= (-7+9) / (-21+25)
= 2/4
= 1/2
Slope of linear function given in table 2, can be calculated byWe can see table 2,
Then we can write,
= (7-9) / (-21 - (-25) )
= -2/-21+25
= -2/4
= -1/2
Slope of linear function given in table 3, can be calculated byWe can see table 2,
Then we can write,
= (-21 - (-25) ) / (-7 - (-9) )
= (-21+25) / (-7+9)
= 4/2
= 2
Now, slope of line which passes through (0,-3) and (3,3) is
= (3 - (-3)) / 3-0
= 3+3/3
= 6/3
= 2
Table 3,
x : -9 -7 -5 -3 -1
y: -25 -21 -17 -13 -9
has same slope as line given equal to 2.
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Find the Degree measure of each interior angle of the quadrilateral JKLM.
the sum of all interior angles in a polygon is
180(n - 2) n = number of sides in the polygonso this one has 4 sides, so the sum of all those angles is 180(4 - 2) = 360, thus
[tex]10y+10y+9y+y~~ = ~~360\implies 30y=360\implies y=\cfrac{360}{30}\implies \boxed{y=12} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle J}{10(12)\implies 120}~\hfill \stackrel{\measuredangle K}{12}~\hfill \stackrel{\measuredangle L}{9(12)\implies 108}~\hfill \stackrel{\measuredangle M}{10(12)\implies 120}[/tex]
d
A
In the diagram above, the "d" represents the:
a. diagram
b. diameter
c. radius
d. arc
Exit
Submit
Answer:
diameter
Step-by-step explanation:
The chord of a circle that passes through the center is the diameter.
An open box is made from a 40-cm by 60-cm piece of tin
by cutting a square from each corner and folding up the
edges. The area of the resulting base is 2204 cm². What
is the length of the sides of the squares?
The length of the side of the square cut from the box is 7 cm.
What is defined as the rectangle?A rectangle is a kind of of quadrilateral, a two-dimensional shape with four sides as well as four vertices. The rectangle's four angles are all right angles as well as equal to 90 degrees.It has two parallel pairs of sides and 4 right angles. A rectangle is also meant to refer to as an equiangular quadrilateral. This is due to the fact that a rectangle is indeed a quadrilateral (4-sided shape) with parallel sides that are equal to one another and all four corners.For the given question;
The dimension of the box is;
Length = 60 cm.
Breadth = 40 cm.
Then the area of the base of the rectangular box before cutting is;
Area = length×breadth
Area = 60 × 40
Area = 2400 cm².
Let the side of the square cut be 'x'
Then the area of one square is x².
As, square is being cut from each corner, thus the total area will be; 4x².
The area of resulting base after square is cut is 2204 cm².
Thus, the area of cut square = old area - resulting area
Area cut = 2400 - 2204
Area cut = 196
Thus, Area cut = total area of 4 square.
Area cut = 4x²
4x² = 196
On solving;
x = 7.
Thus, the length of each square cut from the rectangle is 7 cm.
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The children got out of the pool when their mother said it was time to leave.
Identify the independent variable.
The children got out of the pool
The mother said it was time to leave
The pool
The mother
The independent variable in the children got out of the pool when their mother said it was time to leave is D. The mother.
What is an independent variable?It should be noted that an independent variable simply means a variable that can stand alone without being changed by the other variables.
It should be noted that from the information given, the statement is that the children got out of the pool when their mother said it was time to leave.
Therefore, the independent variable in the children got out of the pool when their mother said it was time to leave is the mother as she's not influenced by others.
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Answer:
You should redo your user name
when you move diagonal on coordinate plane, what axis are you moving on?
what's the answer for. Solve for the variable. Round your answer to the nearest hundredth. -8p-9=8-5p-9
-8p-9=8-5p-9
-8p+5p=9-9+8
=3p=8
=3p÷3=8÷3
=p=2.6666
=p=2.67
(8-5)(5-3)^2 I need help please
Answer:
Step-by-step explanation:
So start with your parentheses, (8-5)(5-3). 8-5=3 and 5-3=2, and when two parentheses are next to each other they will be multiplied.
Example: 3(5-3)^2 ---> 3 x 2^2
Although this "^" means "to the power" so 2 to the power of 2 is 2 x 2=4
So putting it all together we get, (8-5)(5-3)^2 --> 3(5-3)^2 --> 3 x 2^2 [2x2=4] --> 3 x 4 = 12
Your final answer is 12!
If you are still confused please do tell me what is confusing you. :)
Jake is saving quarters he starts with 5 quarters in his container he adds 3 quarters each day how many quarters will he have for the first 6 days how many will he have on the 13th day
There are 23 quaters in the container in first 6 days and there are 44 quaters in the container on 13th day.
How to find the number of quaters on the container on frist 6 days and 13 th day?given that
on first day Jake was saved 5 quarters in the container.
Then he adds 3 quaters each day.
now find the how many quarters will he have for the first 6 days.
from the question
5 + (3 X 6) = 5 + 18 = 23
so, there are 23 quaters in the container in first 6 days.
now find how many quaters will he have on the 13th day.
from the question
5 + (3 X 13) = 5 + 39 = 44
so,there are 44 quaters in the container on 13th day.
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HELP QUICK!!!!!
The value of A is
.
The value of B is
.
Answer it please i need your help….
Answer: the trust store, because a smaller denominator is a bigger fraction.
please help asap. 100 points
Answer:
1,524,211 square miles is equal to 3,947,688 square km
i'm not sure about the second part but i think this is actually the right answer to the first part
Step-by-step explanation:
What is the answer for this question
The true statement about the minimum or maximum value of the given function is that: A. the function has a maximum value of 1.
What is a function?A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable to an output variable.
What is the maximum?The maximum value of a function can be defined as a point on the graph where the function reaches its highest point. This ultimately implies that, the maximum value of a function refers to its vertex on a graph.
In conclusion, the true statement about the minimum or maximum value of the given function is that the function has a maximum value of 1.
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Complete Question:
Which is the minimum or maximum value of the given function?
A. The function has a maximum value of 1.
B. The function has a minimum value of 1.
C. The function has a maximum value of -2.
D. The function has a minimum value of -2.
Isaiah has organized his personal information to calculate his net worth in a table, n Student loans Checking account balance 'Auto loan Credit card debt Car value Other personal property Cash on hand Savings account balance Based on this information, which table could be Isaiah's assets and liabilities statement?
The ratio of isaiah,s liabilities is less than 1.
Let , isaiah has total debt (not including mortgage) is $7,410.
Her net worth (not including his home) is $21,000.
Therefore, his debt-to-equity ratio is $7,410 divided by $21,000, or 0.35.
therefore, this ratio is less than 1, isaiah has not reached the upper limit of debt obligations.
Your net worth can be calculated by subtracting all of your debts and liabilities from your assets. You may have items that are intangible or difficult to sell that may be excluded from calculations used by financial institutions to determine loan eligibility.
the difference between your assets and your liabilities is your net worth. The formula looks like this: (Sum of the current value of all assets) - (Sum of the current total of all outstanding liabilities) = Net worth.
The net worth of a business is also known as its book value, or as its owners' (stockholders') equity. This figure can be computed relatively easily using information found on a company's balance sheet. However, even if the balance sheet isn't available, you can still calculate a business' net worth if you have some basic financial information.
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Arithmetic sequence is described by the formula a
Arithmetic sequence is described by the formula aₙ=a₁+(n-1)d.
Arithmetic sequence or Arithmetic progression is a series of numbers where the difference between each number and the number preceding is equal.
Arithmetic sequence is described by the formula aₙ=a₁+(n-1)d.
where aₙ is the n-th term of the sequence
a₁ is the first term of the sequence , n is the number of terms in the sequence and d is the common difference.
The terms of the arithmetic sequence are of first term a and common difference d are a , (a + d), (a + 2d) , (a + 3d)....
The sum of n terms of an arithmetic sequence is given by
Sₙ=a₁+aₙ where aₙ is the last term of the AP.
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15. Use what you know about scientific notation to write the number -80,000 with a power of 10.
Answer:345600000000
Step-by-step explanation:
The proper format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is greater than or equal to one and less than ten or, 1 ≤ |a| < 10. b is the power of 10 required so that the scientific notation is mathematically equivalent to the original number.
Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.
Count how many places you moved the decimal point. This number is b.
If you moved the decimal to the left b is positive.
If you moved the decimal to the right b is negative.
If you did not need to move the decimal b = 0.
Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."
Remove trailing 0's only if they were originally to the left of the decimal point.
Example: Convert 357,096 to Scientific Notation
Move the decimal 5 places to the left to get 3.57096
a = 3.57096
We moved the decimal to the left so b is positive
b = 5
The number 357,096 converted to scientific notation is 3.57096 x 10^5
us using the point slope formula why negative y1 = m x - X1 find the equation of the line whose slope is 3 and that passes through the point negative 912 write the equation is slope intercept form
The equation of line in the slope intercept form is; y = 3x - 45.
What is the definition of the point slope intercept form?The point slope shape is used to compute the equation of a straight line a inclined to the x-axis at a specific angle and passing through a given point.The equation of a line is a formula that is satisfied by every point on the line. two-variable linear equation thus represents a line.The equation of the line in slope intercept form is;
(y - y₁) = m(x - x₁)
The given coordinates are-
(x₁ ,y₁) = (-9, 12)
the slope of the line is;
slope = m = 3.
Put the values in the equation;
y - (-9) = 3(x - 12)
y + 9 = 3x - 36
y = 3x - 36 - 9
y = 3x - 45
Therefore, the equation of line in the slope intercept form is;
y = 3x - 45.
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A piano keyboard has a total of 88 key.Which best describes the relationship the black keys have with each other
The relationship that the black keys have with each other in piano keyboard has a total of 88 keys is that there are 9 blacks keys for every 22 keys.
How to illustrate the information?It should be noted that in a piano keyboard that has a total of 88 keys, the number of black keys that are in the piano is 36 black keys.
Therefore, the appropriate ratio between the black keys and total keys will be:
= 36 / 88
= 9 / 22
= 9:22
Therefore, the relationship is that there are 9 blacks keys for every 22 keys.
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What is the missing coefficient?
(15x²+11y²+8x)-(7x²+5y² + 2x) = [ ] x² +6y² +6x
=8
How do we get to 8 ?
The missing coefficients of x² is 8.
According to the question we have been given the expression which is :
[tex](15x^{2} + 11y^{2} + 8x) - (7x^{2} + 5y^{2} + 2x) = [ ]x^{2} + 6y^{2} + 6x\\[/tex]
In this we have to find the missing coefficient.
To find the missing coefficients we will solve the L.H.S that is
[tex]= (15x^{2} + 11y^{2} + 8x) - (7x^{2} + 5y^{2} + 2x)[/tex]
First we will eliminate the brackets we get
[tex]= 15x^{2} + 11y^{2} + 8x - 7x^{2} - 5y^{2} - 2x\\[/tex]
Solving the coefficients of x² terms , y² terms and x terms we get
= 8x² + 6y² + 6x
Which is equal to the R.H.S
Combining both the equation we get the coefficient of the x² is 8.
Hence the missing coefficient is 8.
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Look at the four numbers below.
a) 7.9 X 10-3
b) 7.9 X 104
c) 7.9 X 103
d) 7.9 X 10-4
Test item courtesy of Ontario's College Sector Committee for Adult Upgrading.
Which is equal to 0.0079 in scientific notation?
a)
b)
c)
d)
The answer that is equal to 0.0079 in scientific notation will be C. 7.9 × 10^-3.
How to illustrate the information?It should be noted that scientific notation are the way that are used to express the numbers given that are either too small or too large.
Therefore, it should be noted that 0.0079 will be written as:
0.0079 = 7.9 × 10^-3
Therefore, the answer that is equal to 0.0079 in scientific notation will be 7.9 × 10^-3.
In conclusion, the correct option is C.
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if x = -5 and y = -2 evaluate x2 - y3.
Answer: The answer is -4
Step-by-step explanation: The answer is -4 because you when you substitute x for -5(2) and y for -2(3). Which then equal -10 and the -6 turns into a positive 6 which then leads to -10+6 and equals -4!
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A four-foot tree was planted. It will grow 2.5 feet each year. The relationships between x, the number of years since the tree has been planted, and y, the projected height of the tree is a linear relationship.
Write an equation to represent this relationship.
The equation to represent the relationship between number of years and height of tree is y = 2.5x + 4
How to write equation?The tree was planted at 4 feet.
It will grow 2.5 feet each year.
x = the number of years since the tree has been planted.
y = the projected height of the tree
Therefore, the relationships between x, the number of years since the tree has been planted, and y, the projected height of the tree can be represented as follows:
The equations is linear.
Hence, it will be in the format below
y = mx + b
where
m = slope b = y-intercepty = 2.5x + 4
Therefore, the equation to represent the relationship is as follows:
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What is the answer to this problem ?
Answer: H=8
Step-by-step explanation:
Because if H times H equals A, and A is 56 you have to divide 7 by 56 and then you get 8 for the variable H.
rkdksksnsenvjdkdkdkdndbsbbnbbbbvggggggggggggggggggggggggvbbbbnnjjnnnnnnn
Answer: Improper Response
Step-by-step explanation: Please be more specific and I'll answer
In which function is x = 2 mapped to 32?
When Ava went to bed, the temperature was 3°F. When she woke up, the temperature had decreased by 6°F
In a symmetric, unimodal distribution, about two-thirds of the observations are where?
Choose the correct answer below.
point(s) possible
O A. Within one standard deviation of the mean
OB. More than one standard deviation from the mean
O C. Within three standard deviations of the mean
O D. Within two standard deviations of the mean
In a symmetric, unimodal distribution, about two-thirds of the observations are within one standard deviation of the mean. Option A is correct.
GIven that,
To determine the appropriate options that complete the statement "In a symmetric, unimodal distribution, about two-thirds of the observations are where".
The statistic is the study of mathematics that deal with relations between comprehensive data.
Here,
From the definition of symmetric and unimodal distribution,
At least one standard deviation of the mean is two-thirds of the observation.
Thus, In a symmetric, unimodal distribution, about two-thirds of the observations are within one standard deviation of the mean. Option A is correct.
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Check all relationships between 1 and 2.
1
2
Answer:
Step-by-step explanation:
adjacent and comp