I need help with #10 It says to also round to the nearest hundredth. Please help!
Answers
In general, one can obtain the volume of a sphere and a cube using the formulas below
[tex]\begin{gathered} V_{cube}=l^3 \\ l\rightarrow\text{ side of the cube} \\ V_{sphere}=\frac{4}{3}\pi r^3 \\ r\rightarrow\text{ radius} \end{gathered}[/tex]In our case, we need to subtract the volume of the hollow sphere from the volume of the cube, as shown below
[tex]\begin{gathered} V_{cube}=18^3 \\ and \\ V_{sphere}=\frac{4}{3}\pi(9)^3 \\ \Rightarrow V_{foam}=V_{cube}-V_{sphere} \\ \Rightarrow V_{foam}=2778.371... \end{gathered}[/tex]Rounding to the nearest hundredth,
[tex]\Rightarrow V_{foam}\approx2778.37[/tex]The answer is 2778.37in^3
Related Questions
Select the correct answer. A circle is described by the equation x2 + y2 + 14x + 2y + 14 = 0. What are the coordinates for the center of the circle and the length of the radius? A. (-7, -1), 36 units B. (7, 1), 36 units C. (7, 1), 6 units D. (-7, -1), 6 units
Answers
The coordinates for the center of the circle is (-7,-1) and the length of the radius is 6 units , the correct option is (D) .
If the equation of the circle is x² + y² + 2fx + 2gy + c = 0
then the center is (-f,-g)
and the radius is √(f²+g²-c)
In the question ,
it is given that the
equation of the circle is x² + y² + 14x + 2y + 14 = 0
So , on comparing it with the general form of equation , we get
2f = 14
f = 7
and 2g = 2
g = 1
hence, the center is (-7,-1) .
the radius is √(7² + 1² - 14)
= √(49 + 1 - 14)
= √(50 - 14)
= √36
= 6
Therefore , The coordinates for the center of the circle is (-7,-1) and the length of the radius is 6 units .
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The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 14 fl oz per hour. How fast was the pipe leaking in gallons per day? 2 SEE ANSWERS
Answers
Since there are 128 fluid ounces in one gallon, we need to divide 14 by 128 to change ounces into gallons.
Since there are 60 minutes per hour, we need to multiply 14 by 60 to change per minute into per hour.
Combining these: 14 fl oz / min x (1 gal / 128 fl oz) x (60 min / hr) = 6.5625 gal per hour.
Written as a mixed fraction: 6 9/16 gal per hour.
Given :R is the midpoint of QSQR = 6x - 9 RS = 2x - 1 We need to find QS
Answers
Given :
R is the midpoint of QS
QR = 6x - 9
RS = 2x - 1
We need to find QS
So, as R is the midpoint
[tex]\begin{gathered} QR=RS \\ 6x-9=2x-1 \end{gathered}[/tex]Solve the equation to find x :
[tex]\begin{gathered} 6x-9=2x-1 \\ 6x-2x=-1+9 \\ 4x=8 \\ \\ x=\frac{8}{4}=2 \end{gathered}[/tex]Substitute with x to find QR and QS
[tex]\begin{gathered} QR=6\cdot2-9=12-9=3 \\ RS=2\cdot2-1=4-1=3 \\ \\ QS=QR+RS=3+3=6 \end{gathered}[/tex]Use the order of operations to demonstrate that the Distributive Property holds by showing that both sides of each equation are equal.
RHS= 2*4/5*3+2*1/5*3
= /15+2/15
= +2/15
= /15
= /3
Answers
Applying the distributive property and precedence of operations, the results to each side of the expression is of 2/5, hence they property holds.
Left-hand side:The left-hand side of the expression is defined as follows:
2/5(4/3-1/3)
Applying the distributive property, 2/5 multiplies each term as follows:
2/5(4/3-1/3) = 8/15 - 2/15
(multiplication of fractions -> multiply numerators and denominators with themselves).
They have common denominator, then the subtraction of the fractions is calculated as follows:
2/5(4/3-1/3) = 8/15 - 2/15 = 6/15
6 and 15 are divisible by 3, hence the fraction is simplified as follows:
6/15 = 2/5.
Right-hand sideThe right-hand side of the expression is given as follows:
2/5 x 4/3 - 2/5 x 1/3
We have two operations, subtraction and multiplication. The multiplication has higher precedence, hence:
2/5 x 4/3 - 2/5 x 1/3 = 8/15 - 2/15
Then the procedure is the same as the left-hand side, obtaining an equal result, and so the distributive property holds.
Missing information2/5(4/3-1/3)=2/5*4/3-2/5*1/3
We need to solve:
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What is (30 x 10 to the power of 6) + (40 x 10 to the power of 5)
Answers
Answer: 7.3924E14
Step-by-step explanation:
Help me pleaze its hard !!
Answers
It is to be noted that the Diagonals of a parallelogram bisect each other. Here in PQSR, it does bisect PT =ST and QT = TR). Hence, PQSR is a parallelogram.
IGHJ is a paralellogram. This is because the opposite sides of a parallelogram are congruent. Here, H = I and G = J. Hence, IGHJ is a parallelogram.
CABD is a parallelogram because of the alternative interior angles ACB = CBD and ABC = BCD.
VWYX is NOT a parallelogram. The rule states that if opposites sides are congruent then the quadrilateral is a parallelogram. In this case, clearly, line VW ≠ XY and VX ≠ WY.
What is a parallelogram?A parallelogram, rhombus, rectangle, or square is a quadrilateral with opposing sides that are congruent and parallel.
There are six crucial parallelogram qualities to understand:
Contrary sides are equivalent (AB = DC).Angles opposite each other are congruent (D = B).Consecutive angles are additive (A + D = 180°).If one angle is correct, all angles are correct.A parallelogram's diagonals cross one other.A parallelogram is divided into two congruent triangles by its diagonals.Learn more about parallelograms:
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Rewrite the function f(x) = 7(1/2)^3x using the properties of exponents.
A) f(x) = 7(3/6)^x
B) f(x) = 7(1/8)^x
C) f(x) = 21(3/6)^x
D) f(x) = 343(1/8)^x
Answers
Answer:
B
Step-by-step explanation:
[tex]f(x) = 7( { \frac{1}{2} })^{3x} \\ f(x) = 7 ({ \frac{1 \times 1 \times 1}{2 \times 2 \times 2} })^{x} \\ f(x) = 7 ({ \frac{1}{8} })^{x} [/tex]
Solve −5d +2≥7 or 2d −2>8
Answers
Answer:
for the first one: d ≥ 1
for the second one: d > 5
the box contains 8 blue and 4 black pencils. 5 pencils are drawn at random from the box. find the probability that out of 5 pencils taken, 2 are blue and 3 are black.
Answers
The probability that out of 5 pencils taken, 2 are blue and 3 are black is 0.4381.
What is probability?Probability simply means the likelihood that something will occur or happen.
In this case, the the box contains 8 blue and 4 black pencils. The probability of drawing 2 blue balls will be:
= 8/12 × 7/11
= 0.4242
The probability of drawing 3 blacks will be:
= 4/12 × 3/12 × 2/12
= 1/3 × 1/4 × 1/6
= 0.0139
The probability will be the addition of the values. This will be:
= 0.4242 + 0.0139
= 0.4381
The probability is 0.4381.
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1.5x+0.5y=12
a. solve for y
b. find ordered pairs for the function
Answers
Answer:
Step-by-step explanation:
y=-3x+24
(0,24)
Write an equation of a line that is parallel to the
given line. Then, write one that is perpendicular.
x = -4
Answers
Answer:
X=ℝ, Y=ℝ
Step-by-step explanation:
Parallel means they have the same slope so it can be anything on the x-axis, perpendicular meaning opposite slope which is y=.
Help in this asap due soon
Answers
Answer:
Q4) 20
Q5) 48%
hope this helps
What is the value of the digit 5 in the answer to 8500 divided by 10? D 5000 C 500 B 50 A 5.
thanks
Answers
Answer:
B) 50
Step-by-step explanation:
its in tens place
hope this helps you!!!
Answer:
8500/10=850
value of digit 5=50
The scores for 21 students on an exam are summarized
in the stemplot below.
Exam Scores
4
5
69
7 125567
8012455699
9
90147
Key: 910 = 90% on the exam
The teacher realizes that a mistake was made and the
student whose score was recorded as 49% should have
been 69%. If the mistake is corrected, what effect will
this have on the mean and median scores?
The mean and median will both increase.
* Neither the mean nor the median will change.
The mean will increase but the median will
decrease.
The mean will increase but the median will be
unchanged.
It’s D :)
Answers
The median value is the 11th score which is 84%.Changing 49% to 69% will increase the mean but the median will not change.
What are mean, median and mode ?The three measures of central tendency used in statistics are mean, median, and mode. While describing a set of data, we always specify the focal point of any data set. The measure of central tendency is this. Every day, data are presented to us. We discover them in books, articles, bank statements, phone and utility bills, as well as in newspapers. There are so many; they are all around us. The challenge now is if we can identify some key characteristics of the data by focusing on only a few data points. The means, medians, and modes—measures of central tendency or averages—can be used to do this. When describing a set of data, a measure of central tendency locates the set's center.
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Answer:
IT WAS NOT D!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Question number three in the photo provided.
Answers
Using the Central Limit Theorem, the formulas are given as follows:
Standard deviation: [tex]\sigma_{\overline{p}} = \sqrt{\frac{p(1 - p)}{n}}[/tex].Mean: [tex]\overline{p} = p[/tex].What does the Central Limit Theorem state?The Central Limit Theorem states that a random variable X with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] can have the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
A distribution of proportions, with a proportion p in a sample of size n, also respects the Central Limit Theorem, as the the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation given as follows:
Mean: [tex]\overline{p} = p[/tex].Standard deviation: [tex]\sigma_{\overline{p}} = \sqrt{\frac{p(1 - p)}{n}}[/tex].More can be learned about the Central Limit Theorem at https://brainly.com/question/25800303
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I need help with this
Answers
y-intercept= 0
asymptote =[tex]lim_{n}[/tex]→-0 (8/x) = -∞
[tex]lim_{n}[/tex]→+0 (8/x) = +∞
range = R : { x ∈ R / {0} }
What is Range ?
When the sample maximum and minimum are subtracted, the range of a collection of data is the difference between the greatest and lowest values. It uses the same units as the data to express itself.
I think the formula is:
f(x) = 8/x
(You wrote 8x; since a linear function has no asymptotes and you wrote 8x, I'm assuming the true function was 8/x.)
The amount that makes f(x) equal to 0 is the y-intercept.
Keep in mind that there is no value of x such that 8/x = 0 (because the quotient cannot be zero if the numerator is never zero).
Therefore, there is no y-intercept.
The asymmetry:
These are the four:
If the negative side of x tends to zero, then 8/x tends to negative infinity.
If x from the positive side approaches to zero, then 8/x tends to positive infinity.
These two asymptotes are expressed as follows:
[tex]lim_{n}[/tex]→-0 (8/x) = -∞
[tex]lim_{n}[/tex]→+0 (8/x) = +∞
Additionally, there are two cases where x tends to plus infinity (and 8/x goes to zero) and when x tends to minus infinity, where the function tends to zero once more. These two cases are denoted by the formulas:
[tex]lim_{n}[/tex]→-∞ (8/x) = -∞
[tex]lim_{n}[/tex]→∞ (8/x) = +∞
Lastly, the scope:
Only on limitations, y never reaches the following value:
y = 0
If so, the set of all real numbers excluding zero is the range, or
R : { x ∈ R / {0} }
Hence, y-intercept= 0
asymptote =[tex]lim_{n}[/tex]→-0 (8/x) = -∞
[tex]lim_{n}[/tex]→+0 (8/x) = +∞
range = R : { x ∈ R / {0} }
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Find an equation for the perpendicular bisector of the line segment whose
endpoints are (-3, 2) and (7, 6).
Answers
Answer:
The perpendicular bisector of the line segment whose endpoints are (-3, 2) and (7, 6) is y = - 2.5x + 9================
Given Points (-3, 2) and (7, 6)To findThe equation of the perpendicular bisector of the segment with given endpoints.SolutionFind the midpoint of the segment and its slope to determine the perpendicular line passing through the midpoint.
The midpoint has coordinates:
x = ( - 3 + 7)/2 = 4/2 = 2,y = (2 + 6)/2 = 8/2 = 4.The slope:
m = (6 - 2)/(7 - (-3)) = 4/10 = 2/5We know perpendicular lines have opposite/reciprocal slopes.
So the slope of the perpendicular bisector is:
m = - 1/ (2/5) = - 5/2 = - 2.5Use the coordinates of the midpoint and point-slope equation to determine the line:
y - 4 = -2.5(x - 2)y - 4 = - 2.5x + 5y = - 2.5x + 5 + 4y = - 2.5x + 9Answer:
[tex]y=-\dfrac{5}{2}x+9[/tex]
Step-by-step explanation:
A perpendicular bisector is a line that intersects another line segment perpendicularly and divides it into two equal parts.
Given endpoints of the line segment:
(x₁, y₁) = (-3, 2)(x₂, y₂) = (7, 6)Substitute the given endpoints into the slope formula to find the slope of the line segment:
[tex]\implies \textsf{Slope $m$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{6-2}{7-(-3)}=\dfrac{4}{10}=\dfrac{2}{5}[/tex]
If two lines are perpendicular to each other, their slopes are negative reciprocals.
Therefore, the slope of the perpendicular line is -⁵/₂.
Find the midpoint of the given line segment by substituting the given endpoints into the midpoint formula:
[tex]\implies \textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)[/tex]
[tex]\implies \textsf{Midpoint}=\left(\dfrac{7-3}{2},\dfrac{6+2}{2}\right)[/tex]
[tex]\implies \textsf{Midpoint}=\left(\dfrac{4}{2},\dfrac{8}{2}\right)[/tex]
[tex]\implies \textsf{Midpoint}=\left(2,4\right)[/tex]
To find the equation of the perpendicular bisector, substitute the found slope and midpoint into the point-slope form of a linear equation:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-4=-\dfrac{5}{2}(x-2)[/tex]
[tex]\implies y-4=-\dfrac{5}{2}x+5[/tex]
[tex]\implies y=-\dfrac{5}{2}x+9[/tex]
Therefore, the equation for the perpendicular bisector of the line segment whose endpoints are (-3, 2) and (7, 6) is:
[tex]\boxed{y=-\dfrac{5}{2}x+9}[/tex]
3. x^3= 25
4.x² = 125
Answers
Step-by-step explanation:
Hope this helps..............
brainliest please
1. In polynomial x - 12; 12 is a ______
Answers
Answer :- Constant term
In p(x) = x - 12, 1 is the coefficient of x and -12 is the constant term.
The segments shown below could form a triangle 6 5 8 true or false
Answers
It is true to state that segments 6 5 8 could form a triangle. Where AC = 6, CB =5 and BA = 8. See the explanation for the same below.
What is a Triangle?
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C.
The total lengths of any two sides must always be larger than the length of the third side in order to make a triangle.
This is shown as follows:
6 + 5 = 11 > 8
5 + 8 = 13 > 6
8 + 6 = 14 > 5
Given that the side lengths meet the preceding criterion, a result, the supplied segments may be used to build a triangle.
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True, the segments 6, 5, and 8 form a triangle.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Let ABC is a triangle
AB=6
BC=5
CA=8
To form a triangle the sum of any two sides must be greater than the third side.
AB+BC>CA
6+5>8
11>8
BC+CA>AB
5+8>6
13>6
CA+AB>BC
8+6>5
14>5
It satisfies the condition for forming a triangle.
Hence the segments form a triangle.
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Rida writes a fitness blog. At a certain point, she has 6,218 followers. Then the following events happen, in order: 92 people stop following Rida's blog. 417 people start following Rida's blog. The number of followers doubles. Use the drop-down menus to answer the questions below.
Answers
The number of followers Rita has is 13086.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The number of followers Rida has = 6,218
92 people stop following Rida's blog.
This means,
6218 - 92 = 6126
417 people start following Rida's blog.
This means,
6126 + 417 = 6543
The number of followers doubles.
This means,
6543 x 2 = 13086
Thus,
The number of followers Rita has is 13086.
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need help on this, thanks
Answers
For the given parallel lines with transversal ,and the pair of interior angles 72° and (7x +24)°, the value of x = 12°.
As given in the question,
Two parallel lines with transversal are given.
72° and (7x +24)°are pair of interior angles
Simplify the given relation to get the value of x we have,
72° + (7x +24)° =180°
⇒ 7x + (72 +24)° =180°
⇒ 7x + 96° = 180°
⇒ 7x = 180° - 96°
⇒ 7x = 84°
⇒ x = 84° /7
⇒ x = 12°
Therefore, for the given parallel lines with transversal ,and the pair of interior angles 72° and (7x +24)°, the value of x = 12°.
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Write answer in scientific notation
(1.94 × 10³) (8 × 10")
Answers
Scientific notation the
X 79°
y
Z
m
n
Helpppppppppppppppp
Answers
Step-by-step explanation:
79 degrees plus X would make 180 degrees, because these two angles make up a straight angle.
So, 79 + X = 180
-79 -79
X=101 degrees.
Y is 79 degrees because it is an alternate interior angle to the other 79 degree angle.
Z is 101 degrees because X and Z are corresponding angles, which means they are equal.
If Z is 101 degrees, Y must be 79 degrees because Y and X make up a straight angle.
Answer:
X is 101 degrees. Y is 79 degrees. Z is 101 degrees.
Hope this helped! :)
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 21 inches, and the length of the base is 18 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.
Answers
Answer:
63.7 inches to nearest tenth.
Step-by-step explanation:
The legs of the right triangles formed are 21 inches and 1/2*18 = 9 inches.
So, the hypotenuse (which is one of the congruent sides of the isosceles triangle)
= √(21^2 + 9^2
= √522 inches
Therefore, the triangles perimeter
= 2 * √522 + 18
= 63.695 inches.
Select the correct words in the problem so no answers are duplicatedIdentify the different parts of the expression below.3.9253g2 + 8(24 – 2p)nee eduseIn the mathematical expression,2p represents aA difference24 - 2p represents adifferencecoefficient® coefficientproduct© product2sumquotientOsumquotient53p2represents aA difference® coefficientod productosumquotient3 represents a A differenceclercoefficienta© productOsum© quotient
Answers
Explanation
To answer the question, we have to understand the different parts of an algebraic expression
An expression containing variables, numbers, and operation symbols is called an algebraic expression. is an example of an algebraic expression. Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable or variables.
We are given the algebraic expression:
[tex]\frac{3p^2}{5}+8(24-2p)[/tex]For the given question
The difference means the result of subtracting one number from another or How much one number differs from another, so we have
[tex]24-2p\text{ representing Difference}[/tex]Then
The coefficient is is a number or any symbol representing a constant value that is multiplied by the variable of a single term or the terms of a polynomial, so we have
[tex]3\text{ representing coefficient}[/tex]Also
A quotient is a number resulting from the division of one number by another, so we have
[tex]\frac{3p^2}{5}\text{ representing a quotient}[/tex]Finally,
A product is the result of multiplication or an expression that identifies factors to be multiplied.
Thus, we have
[tex]2p\text{ representing a product}[/tex]Find the total surface area of this prism where the cross section is an isoceles triangle 5 14 24 10
Answers
Total surface area = 620
Moreover, The total area covered by an isosceles triangle is called its area. For an isosceles triangle, the area is easily calculated if the height and base are known. Multiplying the height by the base and dividing it by 2 gives us the area of an isosceles triangle.
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due in an hour pls help!!
Answers
Answer:
I think it's (4,5)
Step-by-step explanation:
Question 18 of 25
What are the more appropriate measures of center and spread for this data
set?
H
16
22 24 26
0246 8 10 12 14 16 18 20 22 24 26 28 30
Select two choices: one for the center and one for the spread.
A. Better measure of spread: standard deviation
B. Better measure of center: mean
Answers
Option C and Option D are the appropriate measurements of center and spread for the dataset.
What are the best measures of center and spread of the data?The mean, median, and mode are three examples of center-of-data measurements.
Included in the spread measurements are range, mean deviation, variance, and standard deviation.
The given data is displayed as a box plot with the minimum, maximum, median, Q1 and Q3 values.
The median is the most accurate measurement of the middle of the data.
The interquartile range is the appropriate way to measure spread.
In conclusion, the median and interquartile range, respectively, are the most suitable measures of the data set's center and dispersion.
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x-3 divided by x^2 + 5x + 2
Answers
Answer:
[tex]6x - \frac{3}{X^2} + 2[/tex]
Step-by-step explanation:
Hope this is correct and helps you! :))