Answer:
12m
Step-by-step explanation:
Given that the area of the square DVD case is 144 square cm
Since Area = L²
144 =L²
L = √144
L = 12m
Since the width of the DVD and its case are the same, hence the with of the DVD is also 12m
How many cubes with side 2cm are needed to make a cube with side 6cm
Answer:
27 cubesStep-by-step explanation:
Cube with side 2 has volume:
2³ = 8Cube with side 6 has volume:
6³ = 2³*3³ = 8*27Number of cubes:
8*27/8 = 27Using the approximation of 5 miles = 8 km
How many km is 22.5 miles?
Answer:
22.5÷5= 4.5
4.5×8= 36
Step-by-step explanation:
22.5÷5=4.5
4.5×8=36
Answer:
36.21024 km are in 22.5 miles you can figure this out because you multiply the length value by 1.609
When Owen bought a remote-control helicopter, he agreed to pay a 9% shipping and handling charge. If Owen paid $4.86 in shipping and handling, how much must the helicopter have cost?
Answer:
The helicopter costs 54 dollars and 9% of 54 is 4.86.
Step-by-step explanation:
9% of what number = 4.86
... is equivalent to:
9% × ? = 4.86
---------------------------------
- Percent (%) means 'out of one hundred'-
(100 × 4.86) ÷ 9 =
486 ÷ 9 =
54
Additional Mathematics
Answer:
a = 1000, p = 10
Step-by-step explanation:
Given
y = - 3lg x + lg a
in the form y = mx + c ( m is the slope and c the y- intercept )
From the graph
(a)
c = 3 , then
lg a = 3 , that is
a = 10³ = 1000
(b)
Replace x by p and y = 0 in the equation
0 = - 3lg p + 3 ( subtract 3 from both sides )
- 3 = - 3lg p ( divide both sides by - 3 )
1 = lg p
p = 10 [ [tex]log_{10}[/tex] 10 = 1 ]
3. Length of a cubic container is 20 cm .A cube with a length of edges 5 cm will be used to take some water from a water barrel. Determine the maximum number of cubes that need to use to fill the container with water.
We have l = 20 * 20 * 20 = 8000 cm3
One cube will have l = 5 * 5 * 5 = 125 cm3
-> The maximum number of cubes that need to use to fill the container with water is 8000 / 125 = 64
A daycare center operator wanted to survey her parents to determine if they were interested in the center providing once-a-month Saturday night care for their children. Rather than survey all 254 parents, the operator took the list of parents' names and, starting with the third parent's name, surveyed every twelfth parent. What type of sampling did the daycare operator use
Answer:
Systematic Sampling
Step-by-step explanation:
According to the Question,
systematic sampling is a statistical method involving the selection of elements from an ordered sampling frame. The most common form of systematic sampling is an equiprobability method. In this approach, progression through the list is treated circularly, with a return to the top once the end of the list is passed. The sampling starts by selecting an element from the list at random and then every Kth element in the frame is selected.So, systematic sampling is right Answer.
Answer:
Systematic Sampling
Step-by-step explanation:
What type of sampling did the daycare operator use Systematic Sampling.
Helpppppp and explain pls
Answer:
option e
Step-by-step explanation:
It should be arranged in table form
Row ------> Classes
Column -----> Courses
Sophomores Juniors Seniors
Biology 110 60 20
Chemistry 50 140 85
Physics 17 70 107
Find an ordered pair to represent t in the equation t = u + v if u = (-1, 4) and v = (3, -2)
Given:
[tex]u=(-1,4)[/tex]
[tex]v=(3,-2)[/tex]
The equation is:
[tex]t=u+v[/tex]
To find:
The ordered pair to represent t in the given equation.
Solution:
We have,
[tex]t=u+v[/tex]
Substituting the given values, we get
[tex]t=(-1,4)+(3,-2)[/tex]
[tex]t=((-1)+3,4+(-2))[/tex]
[tex]t=(-1+3,4-2)[/tex]
[tex]t=(2,2)[/tex]
Therefore, the ordered pair to represent t in the given equation is (2,2).
HELP ASAP PLEASE!! calculate the expected gain or loss for stock jkl
Answer: $8.50
Step-by-step explanation:
The expected gain (loss) is a weighted average of the probability of the different gains (losses) and the gains or losses.
Expected gain or loss for stock JKL:
= (Probability of losing $25 * -25) + ( Probability of gaining $5 * 5) + ( Probability of gaining $45 * 45)
= (15% * -25) + (65% * 5) + (20% * 45)
= -3.75 + 3.25 + 9
= $8.50
Answer:8.50$
Step-by-step explanation:
write an expression for 8 less than 2 times a number
show your work
Answer:
Step-by-step explanation:
Let's call the number x. The statement "...2 times a number" if the number is x looks like this:
2x
"8 less than" that looks like this:
... - 8
Putting the whole thing together:
2x - 8
PLEASE HELP!!! Which choice is a solution to the system of equations below?
A. There are infinitely many solutions
B. (-4, 1)
C. (4, -1)
D. (3, 4)
Answer:
A.
Step-by-step explanation:
4y = 12x + 16
3x = y - 4
=>
y = 3x + 4
using that in the first equation
4(3x+4) = 12x + 16
12x + 16 = 12x + 16
=> both lines/equations are identical, so they have infinitely many solutions.
Find the area of the parallelogram. If necessary, round to the nearest whole number.
6 in
5 in
8 in
Answer:
40
Step-by-step explanation:
A = base x height
8 is base
5 is height (the height has to be perpendicular to the base. That's what the little square denotes. Along with the angle being 90°.
A = 8 x 5
A = 40
A water storage tank has the shape of a cylinder with diameter 14 ft. It is mounted so that the circular cross-sections are vertical. If the depth of the water is 12 ft, what percentage of the total capacity is being used
Answer:
"85.7%" is the right answer.
Step-by-step explanation:
According to the question,
The total capacity of water tank will be:
⇒ [tex]v_1=A\times 14[/tex]
The total volume of water will be:
⇒ [tex]v_2=A\times 12[/tex]
Now,
The percentage of total capacity will be:
= [tex]\frac{100\times v_2}{v_1}[/tex]
= [tex]\frac{v_2}{v_1}\times 100[/tex]
By putting the values, we get
= [tex]\frac{A\times 12}{A\times 14}\times 100[/tex]
= [tex]85.7[/tex]%
Write an equation of the form y = mx for the line shown below. If appropriate,
use the decimal form for the slope.
Answer:
y = - 0.5x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (2, - 1) ← 2 points on the line
m = [tex]\frac{-1-2}{2-(-4)}[/tex] = [tex]\frac{-3}{2+4}[/tex] = [tex]\frac{-3}{6}[/tex] = - 0.5
The line crosses the y- axis at (0, 0 ) ⇒ c = 0
y = - 0.5x + 0 . that is
y = - 0.5x
Can someone help me pls
Answer:
c = (E/m)^1/2
Step-by-step explanation:
Here, we want to solve for c in the given equation
what we have here is that;
E = m•c^2
Thus;
c^2 = E/m
So we have
c^2(*1/2) = (E/m)^1/2
c = (E/m)^1/2
Which steps will verify that a parallelogram is a rectangle? Check all that apply.
To verify that a given parallelogram is a rectangle, you can calculate the lengths of all sides, and show that both pairs of opposite sides are congruent and calculate the slopes of every side, and show that adjacent sides are perpendicular.
Answer: 1st one and last one
Step-by-step explanation:
find the coefficient of variation from the following data mean=4 variance=25
8. Write the equation for a line that has a slope of 5 and a y-intercept of
negative 12.
Answer:
[tex]y=5x-12[/tex]
Step-by-step explanation:
This is in slope-intercept form, [tex]y=mx+b[/tex] where [tex]m[/tex] stands for the slope and [tex]b[/tex] stands for the y-intercept.
Hope this is helpful.
Step-by-step explanation:
equation of the line is given by the equation
y=mx+c
in this question you are given the slope (m) as 5 and the y intercept (c) as -12
therefore the equation will be
y=5x+(-12)
y=5x-12
help it’s easy but yh still need help lol
Answer:
14 students walk
Step-by-step explanation:
40 total
22 girls
18 boys - 7 boys who cycle = 11 boys - 6 who take the bus. That leaves 5 boys who walk.
9 girls walk
5 + 9 = 14 total.
Find the area
Help me please
Answer:
143
Step-by-step explanation:
A = [tex]\frac{Base1 + Base2}{2}[/tex] x h
A = [tex]\frac{8 + 18}{2}[/tex] x 11
A = [tex]\frac{26}{2}[/tex] x 11
A = 13 x 11
A = 143
Answer:
none of the multiple choice are right, it's 143
Step-by-step explanation:
use trapezoid formula
a+b
------- h
2
26
----- h
2
13×11= 143
Question 4 of 10
Which describes the graph of y=-(x - 3)^2 + 2?
O A. Vertex at (-3,2)
O B. Vertex at (3,-2)
C. Vertex at (3,2)
O D. Vertex at (-3,-2)
Answer:Vertex at (3, -2)
Step-by-step explanation:
Can someone help and explain this to me,if you do it means a lot :)
Answer:
0 zero
Step-by-step explanation:
you must find gf(x) first
g[ f(x) ] = g [ 2 + 1 ]
= 3-2+x which is you sub fx tu g
g [ f (-1) ] = 3-2-1
=0
What is the measure of EA?
A)21
B)36
C)51
D)30
If n orange juice is made up of concentrate and water in the ratio 3:8. What fraction of the mixture is concentrate?
Answer:your answer should be 2
Step-by-step explanation:
Help plz need it bad
Option B
Yes, because every value of x corresponds to exactly one y-value .
Thanks to whoever decides to help
[tex]\displaystyle\ S=Vt=> V=\frac{S}{t }[/tex] in our case, S is d(h) ; and t is t (x), then [tex]\displaystyle\ V=\frac{d(x)}{t(h)}=\bigg(\frac{d}{t} \bigg )(h)=\frac{6h^2-h-1}{2h-1} =\frac{2h^2-h+4h^2-1}{2h-1} =\\\\\\\\\frac{h\underline{(2h-1)}+\underline{(2h-1)}(2h+1)}{2h-1} =\frac{(3h+1)(2h-1)}{2h-1} =\boxed{3h+1}\\\\\\Answer: \boxed{V=3h+1}[/tex]
Solve the problem Von rolls a ball on the ground at an angle of 23° to the right of his dog Bingo. If the ball rolls a total distance of 48 feet, and he is standing 30feet away, how far will Bingo have to run to retrieve the ball
Answer:
Use the law of cosines: a = 30, b = 48, c = distance dog runs
a^2 + b^2 - 2 a b cos theta = c^2
900 + 2304 - 2650 = c^2 = 554 c = 23.5 ft
Convert 6 centimeters per second to miles per hour.
0.13 mph
7.87 mph
0.07 mph
5.87 mph
Answer:
A, 0.13 mph.
Step-by-step explanation:
To get that, divide the cm/sec by 44.704.
6/44.704 ≈ 0.13
50 points please helpppp i dont have much time left to answer it:///
Answer:
Step-by-step explanation:
The first one: The median is 58.
The second one: The maximum value is 58.
The third one: The upper quartile is 58.
The last one: The minimum value is 58.
Simplify (square root)2/^3(square root)2
A. 2^1/6
B. 2^1/3
C. 2^5/6
D. 2^3/2
Answer: Personally I would do option "B" 2 1/3 because it sounds right.