Answer:
(c) 2205 cm³
Step-by-step explanation:
The volume of the original prism is the product of its dimensions. The volume of one of two identical pieces will be half that.
__
prism volumeV = LWH
V = (21 cm)(21 cm)(10 cm) = 4410 cm³
piece volumeEach piece will have a volume that is half that:
V = 4410 cm³ ÷ 2 = 2205 cm³ . . . volume of each part
Which equation represents the solution of x^3 = 72?
The probability that a randomly selected point on the grid below is in the blue area is StartFraction 9 over 16 EndFraction. A grid with 16 squares. 9 squares are shaded blue. Which expression can be used to find the probability that a randomly selected point is in the white area of the grid? 1 minus StartFraction 9 over 16 EndFraction 1 minus StartFraction 7 over 16 EndFraction 1 + StartFraction 9 over 16 EndFraction 1 + StartFraction 7 over 16 EndFraction
1 minus StartFraction 9 over 16 EndFraction
This is the same as writing 1 - 9/16
======================================================
Explanation:
9/16 is the fraction 9 over 16
It is a shorthand way of saying 9 squares are shaded out of 16 total.
When writing 1 - 9/16 or 1 - (9/16), this represents the number of white squares that aren't shaded blue.
------------
This is what happens when you simplify the expression
1 - 9/16
16/16 - 9/16
(16-9)/16
7/16
This shows that there are 7 white squares.
------------
Or if you want, you can think of it like this:
16 squares total, 9 are blue
16-9 = 7 squares are white
7/16 is the fraction of squares that aren't shaded blue.
The annual salaries of all employees at a financial company are normally distributed with a mean Mu = $34,000 and a standard deviation Sigma = $4,000. What is the z-score of a company employee who makes an annual salary of $28,000?.
Answer:
see the attachment.
Answer:
C, -1.5
Step-by-step explanation:
edge
The axis of symmetry of a parabola is at x = -2. If one x-intercept is (6, 0),
what is the other x-intercept?
Check the picture below.
Which side of a right triangle has the longest length?
Answer:
hypotenuse
Step-by-step explanation:
A hypotenuse is the longest side of a right triangle. It's the side that is opposite to the right angle (90°)
Divide.
3.9 ÷ 100,000
Enter your answer as a decimal in the box.
i dont know what to do here
Answer: 0.000039
Step-by-step explanation: i us calculator
Answer:
0.000039.
Step-by-step explanation:
3.9 / 100,000
Move the decimal point 5 places to the left ( as there are 5 0's in 100,000)
filling in the zeroes as you move alomg.
So its 0.000039
Which of the following is true?
A. Since the slope of AD equals the slope of CB and the slope of DB equals the slope of CA, the
figure is a rectangle.
B. Since both pairs of opposite sides are of equal length, the figure is á square
C. Since AB=CD= 141, the figure is a rectangle.
D. Since AB=CD= 141, the figure is a square.
Answer:
C. Since AB = CD = √41, the figure is a rectangle.
Explanation:
All of them AD, CB, DB, CA have a slope of 0.
Here measure the length units, 5 units horizontal and 4 units vertical. Thus we can conclude it is a rectangle.
Find diagonal Length:
√(x2-x1)² + (y2-y1) = Length from points measure.√(5-0)² + (4-0)² [insert following coordinates]√25 + 16 [simplify]√41 [final answer]Since AB = CD = √41, the figure is a rectangle.
HELP ME PLEASE. I REALLY NEED THIS
Answer:
girl good luck I cant even do that.
NEED HELP ASAP!!! What is the sum of the geometric sequence -4, 24, -144, ... if there are 8 terms?
A. -959,781
B. 29,637
C. 26,661
D. 959,780
Answer:
D
Step-by-step explanation:
the sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = - 4 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{24}{-4}[/tex] = - 6 , then
S₈ = [tex]\frac{-4((-6)^{8}-1) }{-6-1}[/tex]
= [tex]\frac{-4(1679616-1)}{-6-1}[/tex]
= [tex]\frac{-4(1679615)}{-7}[/tex]
= [tex]\frac{-6718460}{-7}[/tex]
= 959,780
X/3 + 1 = ×/8 + 1/11
solve the question please pls
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
the following expression can be solved as follows ~
[tex] \frac{x}{3} + 1 = \frac{x}{8} + \frac{1}{11} \\ [/tex]
Taking LCM on both the sides ,
[tex] \frac{x + 3}{3} = \frac{11x + 8}{88} \\ [/tex]
On cross multiplying ,
[tex]( x + 3)88 = (11x + 8)3 \\ \\ \implies \: 88x + 264 = 33x + 24[/tex]
let's now gather the like terms at either sides of the equation and solve ~
[tex]88x - 33x = 24 - 264 \\ \\ \implies \: 55x = - 240 \\ \\ \implies \: x = \cancel\frac{ - 240}{55} \\ [/tex]
on further simplifying ,
[tex]\implies x = \frac{ - 48 }{ 11} \\ [/tex]
hope helpful ~
Hunter misses 10% of the free throws he attempts in a season. How many total free throws did he attempt if he missed 54?
Answer:
540
Step-by-step explanation:
If you divide 540 by 100 (100%) you get 5.4 then multiply it by 10 (10%) to get 54 again. THIS WAS TO CHECK TO GET: 10% or 100% is 10 so multiply 54•10=540
Hope this helps! ;-)
help need to pass class and iready
Answer:
[tex]\Large\boxed{\sf{y > 32}}[/tex]Step-by-step explanation:
To get the final answer, isolate the variable y on one side of the equation.
1/4y≥8First, multiply by 4 from both sides.
[tex]\Longrightarrow: \sf{4*\dfrac{1}{4}y\geq 8*4 }[/tex]
Solve.
8*4=32
[tex]\boxed{\sf{y\geq 32}}[/tex]
Therefore, the correct answer is D.I hope this helps, let me know if you have any questions.
Solve -3(x - 4) > -2x + 5
Answer:
x<7
Step-by-step explanation:
-3(x - 4) > -2x + 5 Distribute
-3x+12>-2x+5 Subtract 12 from both sides
-3x>-2x-7 Add 2 to both sides
-5x>-7 Simplify
x<7
Answer:
x < 7.
Step-by-step explanation:
-3(x - 4) > -2x + 5
-3x + 12 > -2x + 5
-3x + 2x > 5 - 12
-x > -7 Note: we divide by -1 so the sign flips:
x < 7.
Here's the question, please help!
#1
x²/2+y²/3(2sint)²/2+(3sint)²/34sin²t/2+9sim²t/32sin²t+3sim²t5sin²tFalse
#2
x²+y²4sin²t+9sin²t13sin²tFalse
#3
3x²+2y²3(4sin²t)+2(9sin²t)12sin²+18sin²t30sin²tFalse
None of the above
Answer:
None of these
Step-by-step explanation:
To convert the parametric curve into Cartesian form,
rewrite the equation for [tex]x[/tex] to make [tex]\sin t[/tex] the subject:
[tex]x=2\sin t[/tex]
[tex]\implies \sin t=\dfrac{x}{2}[/tex]
Substitute this into the given equation for [tex]y[/tex]:
[tex]\begin{aligned}y & =3 \sin t\\\implies y & = 3 \left(\dfrac{x}{2}\right)\\y& = \dfrac{3}{2}x\end{aligned}[/tex]
Therefore, the Cartesian form of the parametric curve is:
[tex]y=\dfrac{3}{2}x[/tex]
Further Information
[tex]\dfrac{x^2}{2}+\dfrac{y^2}{3}=1 \quad \textsf{is the equation of a vertical ellipse}[/tex]
[tex]\textsf{with center (0, 0), co-vertex }\sf \sqrt{2}, \textsf{ and vertex }\sqrt{3}[/tex]
[tex]x^2+y^2=6 \quad \textsf{is the equation of a circle}[/tex]
[tex]\textsf{with center (0, 0) and radius }\sf \sqrt{6}[/tex]
[tex]3x^2+2y^2=1 \quad \textsf{is the equation of a vertical ellipse}[/tex]
[tex]\textsf{with center (0, 0), co-vertex }\sf \dfrac{\sqrt{3}}{3}, \textsf{ and vertex }\dfrac{\sqrt{2}}{2}[/tex]
How many solutions does this equation have?
–9d + 4 = –4 − 10d
Answer:
One Solution
Explanation:
–9d + 4 = –4 − 10dchange sides
–9d + 10d = -4 - 4one solution ↓
d = -8Answer:
One solution
Step-by-step explanation:
When solving for d, you get d = - 8
Divide 15/18 by 6 any answers??
Answer:
[tex] \frac{5}{36} [/tex]
Step-by-step explanation:
[tex] \frac{15}{18} \div 6 \\ = \frac{15}{18} \times \frac{1}{6} = \frac{5}{18\times 2} = \frac{5}{36} [/tex]
The set of all points in space that are the same distance from a center point
Answer:
circle
Definition: A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle.
The following curves bound an area: y = 2x + 1, y = -3, and x = 3. Set up the integral to find the VOLUME if this area is revolved about the line x = 3. DO NOT EVALUATE.
First note the intersections of each pair of lines.
x = 3 ⇒ y = 2•3 + 1 = 7 ⇒ (3, 7)
y = -3 ⇒ -3 = 2x + 1 ⇒ x = -2 ⇒ (-2, -3)
y = -3 and x = 3 ⇒ (3, -3)
Using the disk method, we consider disks with thickness ∆y and radius equal to the horizontal distance between the line y = 2x + 1 (or x = (y - 1)/2) and the axis of revolution, x = 3. Each disk will then contribute a volume of
∆V = π (radius)² (thickness) = π/4 (y - 1)² ∆y
As we let ∆y go to zero and let the number of disks go to infinity, the total volume of the resulting cone will be given by the integral
[tex]\displaystyle \frac\pi4 \int_{-3}^7 (y-1)^2 \, dy[/tex]
Select the correct answer.
Maggle is training for a bicycle trip across her home state. She recorded the approximate number of miles she biked during 10 days of training.
The graph shows the data that she recorded as a function of the distance biked over time.
50
40
30
20
10
X
0
4 6
2
8
10
Days
Which function best models the data set?
Miles Biked
Answer:
B
Step-by-step explanation:
The data shows a positive correlation so the gradient must be positive so B.
Can someone come up with something easy for me to memorize mode and mean and range and median pls . Im having finals and I need help
Answer:
Mean-average
Median-middle
Mode-Most Often Digit Entered (Most Common Digit)
Range-Least To Greatest
Step-by-step explanation:
Simplify
1.Cube root of 125 subtract square root of a quarter
2. 1/2+1/4÷(1/3-1/4)
3.(-5)-(-8)-(-7)-(+2)
Answer:
1- 4.5
2- 7/2 (3.5)
3- 8
Step-by-step explanation:
Please awnser :))))))))
Answer:
See figure below.
Step-by-step explanation:
Since the dilation is 1/5 with respect to the origin, divide each x- and y-coordinate by 5 to find the new points. Then plot them. See figure below.
A table of values, rounded to the nearest hundredth, for the function y = is given for
0≤x≤8.
What is the average rate of change of the function over the interval [2, 7] to the nearest
hundredth?
Answer:
A) [tex]0.13[/tex]
Step-by-step explanation:
If a function [tex]f(x)[/tex] is continuous over the interval [tex][a,b][/tex], then the average rate of change over that interval is [tex]\displaystyle \frac{f(b)-f(a)}{b-a}[/tex]:
[tex]\displaystyle \frac{f(b)-f(a)}{b-a}\\\\\frac{f(7)-f(2)}{7-2}\\ \\\frac{1.91-1.26}{5}\\ \\\frac{0.65}{5}\\ \\0.13[/tex]
Thus, the average rate of change over the interval [tex][2,7][/tex] to the nearest hundredth is [tex]0.13[/tex].
In Exercises 3–8, use the box-and-whisker plot to find the given measure.
Answer:
3. The least value is 3.
4. The greatest value is 14.
5. The third quartile is 11
6. The first quartile is 6
7. The median is 8.
8. The range is 3-14.
Step-by-step explanation:
What is the next step in solving this augmented matrix using the gauss-jordan elimination method? a. convert the matrix to the linear system form. b. divide r2 by 2 and r3 by 3. c. the matrix is solved. d. this is an inconsistent matrix that cannot be solved. e. divide r1 by 2 and r3 by 3.
Based on the Gauss-Jordan Elimination method, and the matrix given, the next step would be to b. divide R2 by 2 and R3 by 3.
What is the next step in the Gauss-Jordan Elimination method?The first row has already gone as low as it can so rows two and three need to be worked on.
The best way to do this is to divide Row 2 by 2 and Row 3 by 3. This then leads to the augmented matrix becoming:
[1 0 0 I 5]
[0 1 0 I 4]
[0 0 1 I 3]
In conclusion, option B is correct.
Find out more on the Gauss-Jordan Elimination method at https://brainly.com/question/12090959.
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During Black Friday, everything at Best Buy was marked down 15%. If a customer purchased electronics for a subtotal of $240, what is the final price they would pay for all of their electronics?
Answer:
$204
Step-by-step explanation:
Expression : 240 x 15%
15% x 100 = 0.15
Equation : 240 x 0.15 = 36
Final Answer : 36
240 - 36 = 204
Susan bought gas for her car,the gas cost 2.79 per gallon susan bought 15.4 gallons,what was the total cost for susans gas
The descriptive statistics are shown.
Analyzing Misleading Graphs and Reports
Compare the measures. Describe what these measures indicate about the shape of the box-and-whisker plot.
The median is always at the center of the box, we can say the median of our question is also at the middle of the box.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The description of the measures given has been done below and also what they indicate about the shape of the box and whisker plot have been given.
From the given data we see that;
Mean = 39,500
Median = 20000
Mode = 23000
Minimum = 15,000
Maximum = 255000
A general view of a box and whisker plot has been attached.
From the attached file, we can see the following;
- whiskers to the left and right of the box.
- The box starts from the lower quartile and stops at the upper quartile.
- The median is at the middle of the box
- The minimum is at the end of the left whisker
- The maximum is at the end of the right whisker.
1) Now, since median is always at the center of the box, we can say the median of our question is also at the middle of the box.
2) The median is 20000 but the minimum which is the end of the left whisker is 15000 while the maximum which is the end of the right whisker is 255000. This means the minimum is very close to the median and as such the left whisker would be very short. In contrast, the right whisker will be very long since the maximum is far larger than the median.
3) Since the right whisker is far larger than the left whisker, then we can say the shape of the box and whisker plot is heavily skewed to the right.
To know more about graphs follow
https://brainly.com/question/25020119
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Which of the following could be calculated using the Pythagorean theorem? Select all that apply.
area of a circle
length of an arch
height of a building
distance to an airport
size of a window pane
Answer: height of a building
Step-by-step explanation:
a^2 + b^2 = c^2
used for finding missing side angle of a triangle
help!
Giving brainiest
Answer:
1) 9y^10
2) 560u^16 v^15
Step-by-step explanation: