Explanation:
First we need to find the volume of the cube
volume = length*width*height = 4*4*4 = 64 cubic cm
Then we'll divide the mass over this volume to get the density
density = mass/volume
density = (12 grams)/(64 cm^3)
density = (12/64) grams per cm^3
density = 0.1875 grams per cm^3
The notation cm^3 is another way of saying "cubic centimeter" as shorthand.
Refer to the graphic novel frame below. The brochure says that the rope is 500 feet long. Jacob drew a triangle in the sand that is similar to the actual triangle formed by a parasailer and the boat. Use the properties of similar triangles to determine the parasailer's height above
To solve this problem use the property of similar triangles,
"Corresponding sides of the similar triangles are proportional"
By using this property, height of the parasailer is 160 feet.
From the figure attached,
In ΔPQR, a parasailer is a at point P and a boat is at R.Actual length of the rope PR = 500 ftJacob drew a similar triangle ABC in which parasailer is at A and the boat is at C.Let the height (PQ) of the parasailer = x ft
Height of the parasailer AB = 25 ft.
And the length of the rope AC = 2.5 ft.
Since, both the triangles ΔABC and ΔPQR are the similar triangles, their corresponding sides will be proportional.
[tex]\frac{AB}{PQ}=\frac{AC}{PR}[/tex]
[tex]\frac{2}{x} =\frac{2.5}{200}[/tex]
[tex]x=\frac{200\times 2}{2.5}[/tex]
[tex]x=160[/tex] ft
Therefore, height of the parasailer is 160 feet.
Learn more,
https://brainly.com/question/22206218
ILLL MARK BRAINLIEST PLZ HELP
Sandra saves 13% of her salary for retirement. This year her salary was $1,000 more than in the previous year, and she saved $5,720. What was her salary in the previous year?
Complete the equation. 0.13(x + ) = 5,720
Sandra's salary in the previous year was .
Answer:
Step-by-step explanation:
Let the salary in the previous year = $ x
Now the salary = $ (x +1000)
This year savings = $ 5720
13% * (x + 1000)= 5720
0.13 *(x + 1000) = 5720
0.13*x + 0.13*1000 = 5720
0.13x + 130 = 5720 {subtract 130 from both sides}
0.13x = 5720 - 130
0.13x = 5590 {Divide both sides by 0.13}
x = 5590/0.13
x = $ 43000
Sandra's previous year salary = $ 43000
PLEASE ANSWER AS QUICK AS POSSIBLE
Which of the following operations would be used to solve 5x = 10?
Answer:
division
Step-by-step explanation:
you need to get x by its self. so divide by 5 on both sides and get x = 2
PLZ HELP (-8x-6)-4 to the 2nd power
Answer:x=-0.75
Step by step: 4 to 2nd power multiple 4 by 4 you get 16 so (-8x-6)16 multiply 16 to -6 and -8x and so on...
6. Find the additive inverse of -7 + 51.
-7 - 51
7 + 5
7 - 51
-7 + 51
Answer:
7 - 51
Step-by-step explanation:
additive inverse : a number that when added to a given number gives zero the additive inverse of 4 is −4
I am very confused on this question.
Answer:
A= (-6, 5)
M= (-1.5, -1)
B= (3, -7)
Step-by-step explanation:
*----------------*---------------*
A M B
B has the same distance from M as A from M.
Help pleaseeeeeeeee
A number tmies two divied by four
Answer:
2
Step-by-step explanation:
2÷2 is 4 because 2×2 is 4 and it is asking that how many times two divided by four so A number 2 times two divided is four
How do I write this in slope intercept form: (-3,-4) and (4,-3)
PLEASE HELP I NEED IT TONIGHT!!!?!?!!!??
plz help me with math
solve a) 2y+5/2=37/2
Answer:
2(2y+5)/2=37.2/2
2y+5=37
2y+5-5=37-5
2y=32
2y/2=32/2
y=16
the closest to that is y=8
Step-by-step explanation:
hope that helps>3
Closure illustrates that a characteristic of a set is not
necessarily a characteristic of all of its subsets. The real
numbers are closed with respect to multiplication, but the irrational numbers, a subset of the real numbers, are not. Give an example of a set that is not mathematical that has a particular characteristic, but which has a subset without this characteristic.
There are many examples to pick from, but one example is this:
The set of rational numbers (aka any fraction of two integers) is closed under the operation of division. Divide any two rational numbers and we get some other rational number.
However, the set of integers is not closed under division. If we divided 10 over 3, then we get 10/3 = 3.333 approximately which isn't an integer. So just because the set of integers is a subset of the rationals, it doesn't mean that the idea of closure follows suit from superset to subset.
Side note: The term "superset" is basically the reverse of a subset. If A is a subset of B, then B is a superset of A.
help me pleaseeee this is due tomorrow
Answer:
The value of A=7
The value of B=2
SEMOGA MEMBANTU
Solve for each expression by writing the solution in unit form and in standard form.
Expression
Unit Form
Standard Form
(2 tens 1 one) x 10
Pls help! URGENT ONLY DO QUESTION 21 PLS
Answer:
y = x - 8
Step-by-step explanation:
There's no magic method to doing these, and problem 21 makes it harder to see a pattern by using inputs that are not consecutive integers (like problem 20 does)!
Looking at inputs 20 and 21, the outputs are 8 less than the inputs. Check the other inputs and notice that the same pattern holds up.
What is the length of a line segment that connects the points located at coordinates (12,-22) and (8,-30)? Do not round answer. (leave as a square root)
Step-by-step explanation:
[tex]\text{The length between 2 points, } (x_1, y_1)\text{ and }(x_2,y_2)\text{ is determined by, }[/tex]
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\text{The length between } (12, -22)\text{ and }(8, -30)\text{ is determined by, }[/tex]
[tex]d=\sqrt{(8-12)^2+(-30-(-22))^2}=\sqrt{4^2+8^2}=\sqrt{4^2(1+2^2)}=4\sqrt5[/tex]
Micheala pays her cell phone service provider $19.95 per month for her service plan and 15 cents per minute. In June, her phone bill is $127.95. How many minutes did micheala use in June
Answer:
720 minutes
Step-by-step explanation:
Total phone bill = $127.95
Service plan fee = $19.95
Total cost per minute = 127.95 - 19.95
= $108.00
No. of minutes used = Total cost per minute / Rate per minute
= 108.00 / 0.15
= 720 minutes
A line goes through the points (7, 3) and (11, 5). What is the equation of the line? Answer quick pls.
Step-by-step explanation:
slope = ( y2-y1) / (x2-x1)
= (5-3) / (11-7)
= 1/2
y= mx+ b
m = slope
5 = 11/2 + b
5 - 5.5 = b
b = -0.5
the equation y = 1/2(x) - 0.5
The equation of line is x-2y =1
How do you find equation of a line?To find an equation of a line given the slope and a point.Identify the slope.Identify the point.Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) . y − y 1 = m ( x − x 1 ) .Write the equation in slope-intercept form.Slope-intercept form: The equation of line with slope m and making an intercept c on the y-axis, is y = mx + c.
Given coordinates are:
(7, 3) and (11, 5)
now, equation of line
(y- y1)= (y2-y1)/(x2-x1) *(x-x1)
y-3 =(5-3)/(11-7) *(x-7)
y-3= 2/4 * (x-7)
y-3= 1/2(x-7)
2y-6= x-7
x-2y =1
Hence, the equation of line is x-2y =1.
Learn more about equation of line here:
https://brainly.com/question/21511618
#SPJ2
Section A of a theater has 9 rows with 8 seats in
each row. Section B has 4 rows with 7 seats in
each row. How many seats are in these sections
altogether?
Answer:
100
Step-by-step explanation:
Number of seat in sector A = number of rows * number of seats
= 9 * 8
= 72
Number of seat in sectorB = number of rows * number of seats
= 4 * 7
=28
Total seats = 72 + 28 = 100
The point A(1,5) is rotated 90° clockwise around the origin. What are the coordinates of the resulting point, A'?
Answer:
A'(5,-1)
Step-by-step explanation:
90° clockwise= (y,-x)
Point=A(1,5)
A(1,5)=A'(5,-1)
7+8+8+6+4+23+8456+345678+123+456+234+6789+9876+654+89+556
Answer:
= 372,967
Step-by-step explanation:
hope it's help
#MASTER GROUP
# FIRST MASTER
# PHILIPPINES
Answer:
372967
Step-by-step explanation:
plzz help. what's the distance between 4.1 and -5.2 on a number line
Answer:
4.1 + 5.2 = 9.3
distance can never be negative
Step-by-step explanation:
Nina can braid 144 inches of rope in 3 hours find her unit rate round your answer to the nearest thousand
Answer:
48 inches
or
0.8 minutes
Step-by-step explanation:
To find the unit rate of inches per hour, divide 144 by 3.
144÷3=48
You don't need to round because there are no decimals.
To find the time to braid 1 inch, first multiply 3 by 60 (because there are 60 minutes in 1 hour).
3×60=180
Then divide 144 by 180.
144÷180= 0.8
You don't need to round because there are no thousandths.
Which is a step in the process of calculating successive discounts of 8% and 10% on a $50 item?
a. take 2% of $50
b. take 8% of $46
C. take 10% of $46
d. take 18% of $50
Answer:
C. take 10% of $46
Step-by-step explanation:
I took it on edge
Let p: A shape is a triangle.
Let q: A shape has four sides.
Which is true if the shape is a rectangle?
O pva
O р а
O p 9
O 9 p
Evaluate the limit of sequence at infinity.
[tex] \displaystyle \large{ \lim_{n \to \infty } \frac{ \sqrt{4 {n}^{2} + 3n } }{6n} }[/tex]
Please show your work too. Thanks!
Answer:
[tex]\displaystyle \frac{ 1 }{3} [/tex]
Step-by-step explanation:
we would like to compute the following limit:
[tex]\displaystyle \lim_{n \to \infty } \frac{ \sqrt{4 {n}^{2} + 3n } }{6n} [/tex]
if we compute the limit from numerator to denominator directly,we'd end up with
[tex] \dfrac{ \infty }{ \infty } [/tex]
which is an indeterminate form so we must do it in a different way. well to compute this limit,we can consider factoring method . notice that we can factor the numerator and that yields
[tex]\displaystyle \lim_{n \to \infty } \frac{ \sqrt{ {n}^{2} ( 4 {}^{} + \frac{3}{n} )} }{6n} [/tex]
remember that ,
[tex] \sqrt{ab} \implies \sqrt{a} \sqrt{b} [/tex]thus we acquire:
[tex]\displaystyle \lim_{n \to \infty } \frac{ {n} \sqrt{ ( 4 {}^{} + \frac{3}{n} )} }{6n} [/tex]
reduce fraction:
[tex]\displaystyle \lim_{n \to \infty } \frac{ {} \sqrt{ 4 {}^{} + \frac{3}{n} } }{6} [/tex]
as n approaches to ∞ ,3/n approaches to 0 which yields:
[tex]\displaystyle \frac{ \sqrt{ 4 {}^{} } }{6} [/tex]
simplify square root:
[tex]\displaystyle \frac{ 2 }{6} [/tex]
reduce fraction:
[tex]\displaystyle \frac{ 1 }{3} [/tex]
hence,
[tex]\displaystyle \lim_{n \to \infty } \frac{ \sqrt{4 {n}^{2} + 3n } }{6n} = \boxed{ \frac{1}{3} }[/tex]
and we're done!
Help Please need answer in 10 minutes
Answer:
Answers
Step-by-step explanation:
help me solve this plz
Answer:
sorry but this photo is not clear
Answer:
blur photo cannot answered
help me to solve it
Answer:
plz repost it
Step-by-step explanation:
What are the steps in finding the conditional distribution of a certain category in a dataset. Give an example and solve it.
Answer:
just distribute
Step-by-step explanation:
Just kidding HAHA
