Since magnesium has a larger volume than nickel, it will displace more water from an overflow can.
To determine which metal would displace more water from an overflow canWe need to compare their volumes.
We can use the formula:
Density = mass / volume
To solve for volume, we rearrange the formula:
Volume = mass / density
For nickel:
Volume = 130g / 8.90 g/cm³ = 14.61 cm³
For magnesium:
Volume = 60g / 1.78 g/cm³ = 33.71 cm³
Therefore, Since magnesium has a larger volume than nickel, it will displace more water from an overflow can.
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What is the discriminante of 3x^2-10x=-2
Answer:
76
Step-by-step explanation:
=> \(3x^2-10x+2 = 0\)
Comparing this with quadratic equation \(ax^2+bx+c = 0\), we get:
a = 3, b = -10 and c = 2
Now, The discriminant:
=> \(b^2-4ac\)
=> \((-10)^2-4(3)(2)\)
=> 100-24
=> 76
What is the average
67,70,66
SOMEONE PLEASE HELP I WILL MARK U BRAINLIST
Answer:
8
Step-by-step explanation:
2(x+4) =2x+8 and substitute a for 8
PLEASE HELP ME WITH THIS MATHS QUESTIONS!!!
WILL GIVE BRAINLIEST!!!
Answer:
a) y = (x+2)/3
b) 5
Step-by-step explanation:
f^-1(x) means "f inverse of x". To find the inverse, we simply:
a ) f(x) = 3x -2
y = 3x - 2 --> because f(x) is the same thing as y
x = 3y - 2 --> to find the inverse, we simply just switch x and y
x + 2 = 3y
y = (x+2)/3
b) f^-1(13)
f^-1(13) = [((13) + 2)/3]
f^-1(13) = (15)/3
f^-1(13) = 5
Mofor has homework assignments in five subjects. He only has time to do two of
them.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.
If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:
1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.
2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.
3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.
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A customer has a credit card that charges 18% simple interest every year. How much interest will the customer save
by paying off a credit card debt of $5,000 at the end of 1 year instead of at the end of 3 years?
$300
B $600
$900
D$1,800
Answer:
$900
Step-by-step explanation:
18% of $5000
0.18×5000=900
The customer will save $900
Natalie painted three portraits of a 15 minutes at that rate how many would she paint in 10 minutes
Answer:
2 portraits
Step-by-step explanation:
since she painted 3 in 15 minutes, it means that she took 5 minutes on each portrait. If Natalie were to paint portraits for 10 minutes she would paint 2 portraits
3p in 15min = 1p in 5min = 2p in 10min
The solution to a system of equations is any ordered pair that
makes both equations true/false
Answer: false
Step-by-step explanation:
The quotient of 56 and a number
Answer:
yes
Step-by-step explanation:
Given the triangle ABC at points A = ( 2, 2 ) B = ( 4, 5 ) C = ( 6, 3 ), and if the triangle is first reflected over the y axis, and then over the x axis, find the new point A''.
To reflect a point over the y-axis, we negate the x-coordinate of the point. To reflect the resulting point over the x-axis, we negate the y-coordinate of the point. So, to find the new point A'', we can perform these operations on the original point A:
1. Reflect A over the y-axis to get A': (-2, 2)
2. Reflect A' over the x-axis to get A'': (-2, -2)
Therefore, the new point A'' is (-2, -2).
Which equation has the same solutions as 2x + x - 3 = 0?
(1) (2x - 1)(x + 3) = 0 (3) (2x - 3)(x + 1) = 0
(2) (2x + 1)(x – 3) = 0 (4) (2x + 3)(x - 1) = 0
Answer:
1 and 4 has same pairs of solution.
Step-by-step explanation:
Solutions for the given equations are:
\begin{gathered}1. (x+6)(x - 6) = 0\\(x+6) = 0, (x-6) = 0\\x = -6, x = 6\\\\2. (x + 6)(x + 6) = 0\\(x+6) = 0, (x+6) = 0\\x = -6, x = -6\\\\3. (x - 6)(x - 6) = 0\\(x-6) = 0, (x-6) = 0\\x = 6, x = 6\\\\4. (2x + 12)(2x - 12) = 0\\(2x+12) = 0, (2x-12) = 0\\x = -6, x = 6\\\\5. (2x - 12)(x - 12) = 0\\(2x-12) = 0, (x-12) = 0\\x = 6, x = 12\\\\6. (x+12)(x - 12) = 0\\(x+12) = 0, (x-12) = 0\\x = -12, x = 12\\\\7. (x +12)(x-6) = 0\\(x+12) = 0, (x-6) = 0\\x = -12, x = 6\end{gathered}
1.(x+6)(x−6)=0
(x+6)=0,(x−6)=0
x=−6,x=6
2.(x+6)(x+6)=0
(x+6)=0,(x+6)=0
x=−6,x=−6
3.(x−6)(x−6)=0
(x−6)=0,(x−6)=0
x=6,x=6
4.(2x+12)(2x−12)=0
(2x+12)=0,(2x−12)=0
x=−6,x=6
5.(2x−12)(x−12)=0
(2x−12)=0,(x−12)=0
x=6,x=12
6.(x+12)(x−12)=0
(x+12)=0,(x−12)=0
x=−12,x=12
7.(x+12)(x−6)=0
(x+12)=0,(x−6)=0
x=−12,x=6
(x+6)(x - 6) = 0 and (2x + 12)(2x - 12) = 0 have same pair of solutions.
Step-by-step explanation:
there you go :)
Right triangle EFG has its right angle at F, EG = 6 , and FG = 4 What is the value of the trigonometric ratio of an angle of the triangle? Drag a value to each box to match the trigonometric ratio with its value .
Answer:
\(\cos G=\dfrac{2}{3}\)
\(\csc E=\dfrac{3}{2}\)
\(\cot G=\dfrac{2}{\sqrt{5}}\)
Step-by-step explanation:
If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).
Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.
\(\begin{aligned}EF^2+FG^2&=EG^2\\EF^2+4^2&=6^2\\EF^2+16&=36\\EF^2&=20\\\sqrt{EF^2}&=\sqrt{20}\\EF&=2\sqrt{5}\end{aligned}\)
Therefore:
EF = 2√5FG = 4EG = 6\(\hrulefill\)
To find cos G, use the cosine trigonometric ratio:
\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
For angle G, the adjacent side is FG and the hypotenuse is EG.
Therefore:
\(\cos G=\dfrac{FG}{EG}=\dfrac{4}{6}=\dfrac{2}{3}\)
\(\hrulefill\)
To find csc E, use the cosecant trigonometric ratio:
\(\boxed{\begin{minipage}{9 cm}\underline{Cosecant trigonometric ratio} \\\\$\sf \csc(\theta)=\dfrac{H}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
For angle E, the hypotenuse is EG and the opposite side is FG.
Therefore:
\(\csc E=\dfrac{EG}{FG}=\dfrac{6}{4}=\dfrac{3}{2}\)
\(\hrulefill\)
To find cot G, use the cotangent trigonometric ratio:
\(\boxed{\begin{minipage}{9 cm}\underline{Cotangent trigonometric ratio} \\\\$\sf \cot(\theta)=\dfrac{A}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
For angle G, the adjacent side is FG and the opposite side is EF.
Therefore:
\(\cot G=\dfrac{FG}{EF}=\dfrac{4}{2\sqrt{5}}=\dfrac{2}{\sqrt{5}}\)
How many paths are there from $A$ to $B,$ if you travel along the edges? You can travel along each edge at most once, but you can pass through the same point more than once. (You can pass through $B,$ as long as you end up at the point $B.$)
Answer:
9
Step-by-step explanation:
You don't need to pass through each edge once.
If we name the top vertex 1 and the bottom vertex 2 then here are the possible combinations:
A-1-B
A-B
A-2-B
A-1-B-A-2-B
A-2-B-A-1-B
A-B-1-A-2-B
A-B-2-A-1-B
A-1-B-2-A-B
A-2-B-1-A-B
Some people say 6 because they think you need to pass through all the edges. But the only restriction with travelling on the edges is you can't pass one twice. The point is read the wording and it becomes easy.
Hope this helps!
6. (01.03 MC)
The dotplot below shows the number of hours of sleep preferred by 25 patients chosen randomly in a particular medical office. Describe the shape of the distribution
SAVES
Answer: Skewed left, no outlier
Step-by-step explanation: You use the IQR and quartile 1&3 to find the number that defines an outlier. And for this one there are none
xy(3x2+2x−3y)
(1 point)
3x3y+2x2y−3xy2
3x3+2x2−3y2
3x3+2xy−3y
2x3y2
please help i’ll give brainliest
Please help me solve this question will give you braisnlt !
Answer:
C
Step-by-step explanation:
In slope intercept form y=mx+b
m is your rate of change/ slope
since the slope is +5
This means that your rate of change, in this case elevation, is 5 feet per minute.
As for b which is your y intercept, the -30 can be represented by the point (0,-30) on a graph it would be -30ft below the x axis. Meaning that if the diver lets say is the point he is 30 feet below sea level and acsending at a rate of 5 feet per minute.
be quick! i will mark the correct one brainliest :)
Mark used the computer for 12 hours. If the average power use of a computer per hour is 299 watts, how much power did Mark use?
Answer:
Step-by-step explanation:
Anita plans to give her husband 3 shirts for his birthday. She narrows the search to 3 shirts from a selection of 17 shirts at Dillon's Store or 3 from a selection of 20 shirts at The Men's Shop. In how many ways can she select the shirts
Using the combination formula, it is found that she can select the shirts in 775,200 ways.
The order in which the shirt are chosen is not important, hence, the combination formula is used to solve this question.
Combination formula:
\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
In this problem:
3 shirts from a set of 17.Then, 3 shirts from a set of 20.They are independent, hence, to find the total, we multiply both combinations.\(T = C_{17,3} \times C_{20,3} = \frac{17!}{3!14!} \times \frac{20!}{3!17!} = 680 \times 1140 = 775200\)
She can select the shirts in 775,200 ways.
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Hi people if someone gives me a hint please. Show algebraically that the product of two consecutive numbers is always even l wrote n (n+1) is always an even number But doesnt recognise it as 100% right thanks for any help
Step-by-step explanation:
Consider the following rules.
even + odd = odd
even - odd = odd
even × odd = even
even ÷ odd = even (if divisible)
Now for the two consectives terms...
One will surely be even and the other, odd.
So using the rule
Their product will always be odd
Hope it helps....
BRAINLIEST PRETTY PLEASE!!
Using the present value approach, solve the following:
Tom has $100 in a bank account that pays a guaranteed 5% interest rate each year. How much would Tom have at the end of Year 3?
Answer:
Step-by-step explanation:
$100x0.5x1=$5
2021: Sales Revenues = $800,000. Cost of good sold = $350,000
2020: Sales Revenues = $795,000. Cost of good sold = $600,000
Answer:
Step-by-step explanation:
Sales Revenue: $800.00
Cost of good sold: $350,000.00
Subtract: $450,000.00
Sales Revenue: $795,000.00
Cost of good sold: $600,000.00
Subtract Sales $195,000.00
Revenue from Cost
of goods sold.
Solve the system using the linear combination method:
x + 5y= -3
2x + 7y=3
Answer:
3x+12y=0
Step-by-step explanation:
x+2x=3x
5y+7y=12y
-3+3=0
what does "and" mean in maths?
Answer:
and mean another questions
Answer:
add
Step-by-step explanation:
for example two and two makes
What are the x and y-intercepts from the table shown?
R(-1,0), S(3, 0), T(2, -3), U(-3, -2);
Distance Formula
The distance between the coordinates R and S is 4 units and the distance between T and U is √26 units.
What are the coordinates?The distance formula is a formula used to find the distance between two points in a two- or three-dimensional space. The formula is:
\(d = \sqrt{((x_2-x_1)^2+(y_2-y_1)^2)}\)
Where d is the distance between the two points (x1,y1) and (2, 2),
Using the distance formula, we can find the distance between any two points in a two-dimensional space.
For example, to find the distance between points R(-1.0) and S(3.0), we can use the distance formula:
\(d= \sqrt{(3-(-1))^2+(0-0)^2)} = \sqrt{(16+0)}\\= \sqrt{(16)}\\=4\)
Therefore, the distance between R(-1,0) and S(3,0) is 4 units. Similarly, we can find the distances between any other pair of points using the distance formula.
Distance between T and U is -
T(2, -3), U(-3, -2)
\(=\sqrt{(-3-2)^2 + (-2 - (-3))^2} \\=\sqrt{25 + 1}\\= \sqrt{26}\\\)
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Find the distance between following points -
R(-1,0), S(3, 0)
T(2, -3), U(-3, -2);
I know it's a lot but help please!!!!!!
Answer:
105°; -7°; -3°; 12°; 17Step-by-step explanation:
1. Exterior angle is the sum of two non-adjacent interior angles
25° + 80° = 105°2. Sum of angles = 180°
x + 59° + x + 51° + 84° = 180°2x + 194° = 180°2x = -14°x = -7°3. Same as above
55° + x + 74° + 54° = 180°x + 183° = 180°x = 180° - 183°x = -3°4. Exterior angle as above:
4x + 2° + 30° = 80°4x = 48°x = 12°5. Perimeter is the sum of side lengths
8x - 4 + 9x + 4 + 4x + 17 = 37421x + 17 = 37421x = 357x = 357/21x = 17Hey I really need help solving this question. Thank you in advanced!
Step-by-step explanation:
i think a is the answer of this question.
Answer:
A (-4, -1)
Step-by-step explanation:
Hope this helps!!!
Assume that the variables, x and y, have been assigned integer values. Write a boolean expression which evaluates to True if x is non-negative and y is negative. Note that zero is a
non-negative number.
The boolean expression that evaluates to True if "x is non-negative and y is negative" is: (x >= 0) ∧ (y < 0).
A boolean expression is a logical expression that evaluates to either true or false. Boolean expressions can be composed of one or more boolean operators, such as AND, OR, and NOT, and can involve one or more variables.
We need to find boolean expression for: "x is non-negative and y is negative", then output is true.
The boolean expression is:
(x >= 0) ∧ (y < 0), or (x>=0) AND (y<0)
In this expression, the ∧ symbol represents the logical AND operator. The expression (x >= 0) checks if x is greater than or equal to 0 (i.e. non-negative), and the expression (y < 0) checks if y is less than 0 (i.e. negative).
If both conditions are true, the overall expression evaluates to true, indicating that x is non-negative and y is negative.
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