Answer:
2 meters.
Step-by-step explanation:
We know that a cube of sidelength L has a volume:
V = L^3
Here, we know that the volume of water that the cube can hold is:
(1000/125) m^3
Then the volume of our cube is exactly that:
V = (1000/125) m^3
Then we have the equation:
L^3 = (1000/125) m^3
Which we can solve for L
L = ∛((1000/125) m^3 ) = (∛1000/∛125) m
Where we used that:
∛(a/b) = ∛a/∛b
Solving the cubic roots, we get:
L = (10/5) m = 2m
The length of the side of the water tank is 2 meters.
Given: P (-4; 7), Q ( 3;0) and R (-1;-4).
Determine:
1.1.1
the gradient of QR
100 points and brainliest please:)
what is the square root of 256?
a 16
b 14
c 12
d 4
The square root of 256 = X^2
X ^2 = X x X
A) 16 x 16 = 256
The answer is a) 16
Answer:
A. ) 16
Step-by-step explanation:
[tex] \small \sf \: \sqrt{256} [/tex]
Write 256 in the exponential form with the base of 16
[tex] \small \sf \: \sqrt{16 {}^{2} } [/tex]
Reduce the index of the radical and exponent with 2
16
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.
Write the solution set of the equation x2 – 4=0 in roster form
Answer:
Step-by-step explanation:
x²-4=0
(x+2)(x-2)=0
x=-2,2
solution is x∈{-2,2}
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.
Using 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
Maths assignment
9p^2-16q^2
Answer:
[tex]9p^2-16q^2[/tex]
[tex](3p)^{2} -(4p)^{2}[/tex]
[tex]\underline{x^2-y^2=\left(x+y\right)\left(x-y\right)}[/tex]
[tex]\left(3p\right)^2-\left(4q\right)^2=\left(3p+4q\right)\left(3p-4q\right)[/tex]
[tex]=\left(3p+4q\right)\left(3p-4q\right)[/tex]
------------------------
hope it helps....
have a great day!!
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).
What is the measure of EA?
A)21
B)36
C)51
D)30
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
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:
Helppp and explain pls and thankyou
Answer:
None of both
Step-by-step explanation:
It say y = lxl
so it mean if y = 3 so x = 3 or -3
What value of c makes the equation true?
(PLEASE HELP, and look at the picture)
Answer:
[tex]\displaystyle c = 8[/tex]
General Formulas and Concepts:
Pre-Algebra
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \frac{3}{6} = \frac{4}{c}[/tex]
Step 2: Solve for c
Simplify [Reduce]: [tex]\displaystyle \frac{1}{2} = \frac{4}{c}[/tex][Multiplication Property of Equality] Cross-multiply: [tex]\displaystyle c = 8[/tex]Answer:
c = 8
Step-by-step explanation:
[tex] \small \sf \frac{3}{6} = \frac{4}{c } \\ [/tex]
Variable c cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6c, the least common multiple of 6,c.c × 3 = 6 × 4
multiply 6 and 4 to get 243c = 24
divide both side by 3
[tex]\small \sf \frac{3c }{3} = \frac{ 24} {3} \\ [/tex]
[tex]\small \sf \frac{ \cancel{3}c }{ \cancel{3}} = \frac{ \cancel{24}} {\cancel{3}} \\ [/tex]
Divide 24 by 3 to get 8.c = 8
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
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
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]
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
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
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
find the coefficient of variation from the following data mean=4 variance=25
Help plz need it bad
Option B
Yes, because every value of x corresponds to exactly one y-value .
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 = 27Additional 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 ]
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:
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:
Who is sometimes referred to as the Columbus of statistics because his book made a fundamental contribution by attempting to demonstrate the quantitative characteristics of birth and death data
Answer: John Graunt
Step-by-step explanation:
John Graunt is referred to as the Columbus of statistics because his book made a fundamental contribution by attempting to demonstrate the quantitative characteristics of birth and death data.
He's regarded as the founder of demography which is the statistical study of the population of human beings.
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.
HELP ASAP 10 POINTS AND BRAINLIST HURRY AND WILL GIVE 5 STAR AND A THANKS
Ling must spend no more than $40.00 on decorations for a party. She has spent $10.00 on streamers and wants to buy bags of balloons as well. Each bag of balloons costs $2.50. The inequality below represents x, the number of bags she can buy given the spending limit and how much she has already spent on streamers.
10 + 2.5 x less-than-or-equal-to 40
Which best describes the number of bags of balloons she can buy?
Answer:
she can buy 0 to 12 bags but no more
Step-by-step explanation: