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.
Two friends enter a contest. Kelsey scored 200 more points than Jake. Together,
they collected a total of 1250 points. How many points did they each score?
Subtract the amount Kelsey got more than Jake from the total:
1250 - 200 = 1050
Divide by 2:
1050/2 = 525
Jake got 525
Kelsey got 525 + 200 = 725
Someone please help me with this math problem?
Answer:
(C) 0.3(10 + 4h) = 0.25(6h)
Step-by-step explanation:
Here's what we know about Fernando's fees:
$10 is the initial fee
$4 is the hourly fee (h)
Saves 30% (also written as 0.3) of the total cost (includes initial and hourly fee)
Here's what we know about Brenna's fees:
No initial fee
$6 is the hourly fee (h)
Saves 25% (also written as 0.25) of the total cost (just the hourly fee because she doesn't have an initial fee)
We want to find which hour Fernando and Brenna will have saved the same amount of money.
To do this, let's first set up an equation for Fernando and Brenna separately:
Fernando's equation:
0.3(10 + 4h) = how much money he saves from the total cost
Brenna's equation:
0.25(6h) = how much money she saves from the total cost
Now we set them equal to each other:
0.3(10 + 4h) = 0.25(6h)
There's your answer!
Hope it helps (●'◡'●)
f(x) = 2x^2 Find f (-6)
Answer:
[tex]72[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2[/tex]
replace x with -6
[tex]f(-6)=2(-6)^2[/tex]
exponent
[tex]f(-6)=2(36)[/tex]
multiply
[tex]f(-6)=72[/tex]
2. Resolve into factors.
a) 8x3 + y3
Answer:
(2x + y)(4x² - 2xy + y²)
Step-by-step explanation:
8x³ + y³ ← is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²) , then
8x³ + y³
= (2x)³ + y³
= (2x + y)((2x)² - 2xy + y²) , that is
(2x + y)(4x² - 2xy + y²)
The diagram shows a cylinder of diameter 6 cm and height 20 cm what is the volume in cm3
Answer:
565.2cm³
Step-by-step explanation:
the radius= 6/2= 3 cm
the height= 20cm
the volume= 3.14× 3²×20
= 3.14×180= 565.2 cm³
Check the picture below.
What is 8 x 3 + 10 - 13 x 2? Show your work.
Will give first answer brainliest
Hello!
8 × 3 + 10 - 13 × 2 =
= 24 + 10 - 13 × 2 =
= 24 + 10 - 26 =
= 34 - 26 =
= 8
Good luck! :)
Answer:
8
Step-by-step explanation:
According to bdmas rule
First multiply 8 and 3 or 13 and 2
Then, there will be 24 + 10 - 26
Then add 24 + 10, there will be 34
and again minus by 26
Then finally answer will be 8
What is the solution to the equation One-fourth x + 2 = negative StartFraction 5 Over 8 EndFraction x minus 5?
x = negative 8
x = negative 7
pls hurry
x = 7
x = 8
Answer:
c = 24
Step-by-step explanation:
5 + 3bc =
9a + b =
cd + bc =
Answer:
You can't answer these questons
sorry
Hope This Helps!!!
please help me for 5 points
Answer:
275 adults
130 children
Step-by-step explanation:
Answer:
275 adults, 130 children
Step-by-step explanation:
P÷✓2=✓t/r+q
express t in the terms of p and q
Given:
Consider the given equation is:
[tex]p\div \sqrt{2}=\sqrt{\dfrac{t}{r+q}}[/tex]
To find:
The value of t in terms of p, q and r.
Solution:
We have,
[tex]p\div \sqrt{2}=\sqrt{\dfrac{t}{r+q}}[/tex]
It can be written as:
[tex]\dfrac{p}{\sqrt{2}}=\sqrt{\dfrac{t}{r+q}}[/tex]
Taking square on both sides, we get
[tex]\dfrac{p^2}{2}=\dfrac{t}{r+q}[/tex]
Multiply both sides by (r+q).
[tex]\dfrac{p^2(r+q)}{2}=t[/tex]
Therefore, the required solution is [tex]t=\dfrac{p^2(r+q)}{2}[/tex].
If z varies jointly as x and y and inversely as w^2?, and
z = 72 when x = 80, y = 30 and
w=5, then find z when x = 20, y = 60 and w=9.
Answer:
Step-by-step explanation:
z = (k*x*y) / w²
Where,
k = constant of proportionality
z = 72 when x = 80, y = 30 and w = 5
z = (k*x*y) / w²
72 = (k * 80 * 30) / 5²
72 = 2400k / 25
Cross product
72 * 25 = 2400k
1800 = 2,400k
k = 2,400/1800
k = 24/18
= 4/3
k = 1 1/3
k = 1.33
find z when x = 20, y = 60 and w=9
z = (k*x*y) / w²
z = (1.33 * 20 * 60) / 9²
z = (1596) / 81
Cross product
81z = 1596
z = 1596/81
z = 19.703703703703
Approximately,
z = 19.7
HELP! how do I find the degrees for this problem
Answer:
90°
Step-by-step explanation:
m∠x+m∠y+m∠z=180°
m∠x+m∠y+90=180
m∠x+m∠y=180-90=90°
Which of the following is ordered pair for point C?
Answer:
B. (4,2)
Step-by-step explanation:
Answer:
B(4,2)
Step-by-step explanation:
as you can see that if want to find coordinates u should know that the position of x and y is (x,y). So u can that c on the x is lower than 5 so that u can say it is 4 and y is too far away from 5 also u it will be 2.
Which set of ordered pairs does not represent a function? \{(5, -9), (6, -6), (-3, 8), (9, -6)\}{(5,−9),(6,−6),(−3,8),(9,−6)} \{(-6, -4), (4, -8), (-6, 9), (1, -3)\}{(−6,−4),(4,−8),(−6,9),(1,−3)} \{(1, -1), (-5, 7), (4, -9), (-9, 7)\}{(1,−1),(−5,7),(4,−9),(−9,7)} \{(8, -9), (-3, -6), (-4, 4), (1, -5)\}{(8,−9),(−3,−6),(−4,4),(1,−5)}
Answer:
[tex]\{(-6, -4), (4, -8), (-6, 9), (1, -3)\}[/tex]
Step-by-step explanation:
Given
[tex]\{(5, -9), (6, -6), (-3, 8), (9, -6)\}[/tex]
[tex]\{(-6, -4), (4, -8), (-6, 9), (1, -3)\}[/tex]
[tex]\{(1, -1), (-5, 7), (4, -9), (-9, 7)\}[/tex]
[tex]\{(8, -9), (-3, -6), (-4, 4), (1, -5)\}[/tex]
Required
Which is not a function
An ordered pair is represented as:
[tex]\{(x_1,y_1),(x_2,y_2),(x_3,y_3),..........,(x_n,y_n)\}[/tex]
However, for the ordered pair to be a function; all the x values must be unique (i.e. not repeated)
From options (a) to (d), option (b) has -6 repeated twice. Hence, it is not a function.
When Zero added to any integer, what is the result?
Answer:
answer will be the integer only which was added to zero
to move a function, you need to___it.
Answer:
shift
Step-by-step explanation:
shift
How to find the domain
f equals to 2 f - 20
Answer:
20
Step-by-step explanation:
f = 2f - 20
f - 2f = - 20
- f = - 20
f = 20
Instructions: Problem 2 ! Find the missing angle in the image below. Do not include spaces in your answers
Step-by-step explanation:
since angles in a triangle add up to 180
<vuw=180-(71+23)
=86°
since angles in a straight line add up to 180
<vuf=180-86
=94
Need help ASAP !!!!!!
answer:
to test whether agraph is linear
A wooden board 27 ft long is cut into two pieces so that the longer piece is 8
times as long as the shorter piece. Find the lengths of the two pieces.
Answer:
3ft and 24 ft.
Step-by-step explanation:
Let the length of the shorter piece be xThe longer piece is 8 times as long as shorter piece
therefore,
Length of longer piece = 8xTotal length of the wooden board = 27 ft.
27 = longer length + shorter length
27 = x + 8x
27 = 9x
dividing both sided by 9
3 = x
since x was the length of the shorter piece
shorter piece is 3 ft. long
and the longer piece was equal to 8x
longer piece is 24 ft. long
using quadratic equation:
help me solve it
[tex]10x - \frac{1}{x } = 3[/tex]
Answer:
[tex]10x - \frac{1}{x} = 3 \\ 10x = 3 + \frac{1}{x} \\ 10x = \frac{3x + 1}{x} \\ 10x \times x = 3x + 1 \\ 10 {x}^{2} = 3x + 1 \\ 10 {x}^{2} - 3x - 1 = 0 \\ 10 {x}^{2} - 5x + 2x - 1 = 0 \\ 5x(2x - 1) + 1(2x - 1) = 0 \\ (5x + 1)(2x - 1) = 0 \\ \\ 5x + 1 = 0 \\ 5x = - 1 \\ x = \frac{ - 1}{5} \\ \\ 2x - 1 = 0 \\ 2x = 1 \\ x = \frac{1}{2} [/tex]
hope this helps you.
Have a nice day!
280L of water consumed my 7 people. water consumed by 50 people =___L
Step-by-step explanation:
7 people = 280 liters
1 p = 40 liters
50 p = 40 x 50
50 p = 2000 liters
hope it helps.
Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.
Maya collected data about the number of ice cubes and milliliters of juice in several glasses of juice and organized the data into this table.
Ice Cubes 4 2 3 5 5 3 1
Juice (milliliters) 177 234 202 140 155 210 265
She used a graphing tool to display the data in a scatter plot, with x representing the number of ice cubes and y representing the milliliters of juice. Then she used the graphing tool to find the equation of the line of best fit:
y = -29.202x + 293.5.
Based on the line of best fit, approximately how many milliliters of juice will be in a glass with 7 ice cubes?
A.
10
B.
89
C.
118
D.
208
Answer:
Maya collected data about the number of ice cubes and milliliters of juice in several glasses of juice and organized the data into this table.
Ice Cubes 4 2 3 5 5 3 1
Juice (milliliters) 177 234 202 140 155 210 265
She used a graphing tool to display the data in a scatter plot, with x representing the number of ice cubes and y representing the milliliters of juice. Then she used the graphing tool to find the equation of the line of best fit:
y = -29.202x + 293.5.
Based on the line of best fit, approximately how many milliliters of juice will be in a glass with 7 ice
Step-by-step explanation:
Based on the line of best fit, approximately how many milliliters of juice will be in a glass with 7 ice.
Maya collected data about the number of ice cubes and milliliters of juice in several glasses of juice and organized the data into this table.
Ice Cubes 4 2 3 5 5 3 1
Juice (milliliters) 177 234 202 140 155 210 265
She used a graphing tool to display the data in a scatter plot, with x representing the number of ice cubes and y representing the milliliters of juice. Then she used the graphing tool to find the equation of the line of best fit:
y = -29.202x + 293.5.
What is the line of best fit?
A line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points. Statisticians typically use the least-squares method to arrive at the geometric equation for the line, either through manual calculations or regression analysis software.
Based on the line of best fit, approximately how many milliliters of juice will be in a glass with 7 ice.
To learn more about the data visit:
https://brainly.com/question/19243813
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10 − 3(2a − 1) = 3a + 1
Answer:
4/3 =a
Step-by-step explanation:
10 − 3(2a − 1) = 3a + 1
Distribute
10 -6a +3 = 3a+1
Combine like terms
13 -6a = 3a+1
Add 6a to each side
13-6a+6a = 3a+6a +1
13 = 9a+1
Subtract 1 from each side
13-1 = 9a+1-1
12 = 9a
Divide by 9
12/9 = 9a/9
4/3 =a
a = 4/3
Step-by-step explanation:10 - 3( 2a - 1 ) = 3a + 1
use the distributive property to multiply -3 by 2a -110 - 3 × 2a -3 × -1 = 3a + 1
10 - 6a + 3 = 3a + 1
collect like terms10 + 3 - 6a = 3a + 1
13 - 6a = 3a + 1
Subtract 3a from both sides13 - 6a - 3a = 3a - 3a + 1
13 - 9a = 1
subtract 13 from both side13 - 13 - 9a = 1 - 13
- 9a = - 12
divide both side by -9-9a / - 9 = - 12 / - 9
a = 4/3
Graph: Y - 3 = 1/2 (x+2)
Answer:
see graph
Step-by-step explanation:
Personally I put into slope intercept form before graphing
y - 3 = 1/2 (x+2)
y -3 = 1/2x + 1
y = 1/2x + 4
4 is y-intercept
1/2 is slope. [tex]\frac{Rise= 1}{Run= 2}[/tex]
HELP ME PLEASEEEEEE. !!!
Answer:
107,100
Step-by-step explanation:
[tex]h(t) = 9 {t}^{2} + 900t \\ \\ plug \: t = 70 \\ \\ h(70) = 9 {(70)}^{2} + 900(70) \\ = 9 \times 4900 + 63000 \\ = 44100 + 63000 \\ = 107,100 \: cm[/tex]
can someone help me state domain and range
Answer:
The domain and range is (as inequalities):
[tex]x\leq 3\text{ and } -\infty < y < \infty[/tex]
Or in interval notation:
[tex]D=(-\infty, 3]\text{ and } R=(-\infty, \infty)[/tex]
Step-by-step explanation:
Recall that the domain is simply the set of all x-values of the function.
From the graph, we can see that the function is defined for all x-values less than or equal to 3.
Therefore, the domain is:
[tex]x\leq 3[/tex]
The range is the set of all y-values of the function.
From the graph, we can see that the range will extend infinitely in both directions.
Therefore, the range is all real numbers. As an inequality:
[tex]-\infty < y < \infty[/tex]
Or in interval notation, the domain is:
[tex](-\infty, 3][/tex]
And the range is:
[tex](-\infty, \infty)[/tex]
What are the different forms of a quadratic function and what do the variables represent?
Answer:
Quadratic equations of second degree.
[tex]{ \bf{a {x}^{2} + bx + c = 0}}[/tex]
Quadratic equations of third degree.
[tex]{ \bf{a {x}^{3} + {bx}^{2} + cx + d = 0}}[/tex]
help me pls beestar is not fun
Answer:
C. 3/9
Step-by-step explanation:
First, you need to understand what the tree diagram means.
You spin a three-color spinner once. You can get one of three results:
green, blue, or yellow. This is shown in the figure under "1st spin."
Now you spin the spinner a second time. This second spin can also have three outcomes, green, blue, or yellow. For each of the three outcomes of the first spin, you can have 3 different outcomes of the second spin. That is shown under the "2nd spin."
That means there are 9 possible outcomes (numbered from 1 to 9 below):
1. green, green
2. green, blue
3. green, yellow
4. blue, green
5. blue, blue
6. blue, yellow
7. yellow, green
8. yellow, blue
9. yellow, yellow
Each of the 9 outcomes above shows the outcome of the first spin followed by the outcome of the second spin. As you can see there are 9 different outcomes of the two spins.
Now count the number of outcomes that have the same color for the first and second spin. They are shown in bold below.
1. green, green
2. green, blue
3. green, yellow
4. blue, green
5. blue, blue
6. blue, yellow
7. yellow, green
8. yellow, blue
9. yellow, yellow
3 out of 9 outcomes are the same color twice.
Answer: C. 3/9
