a+a=a
→a+a-a=0
→a=0
(proved)
Step-by-step explanation:
[tex]a + a = a[/tex]
[tex]2a = a[/tex]
[tex]2a - a = 0[/tex]
[tex]a = 0[/tex]
Proved.
what is the approximate radius of a sphere with the volume of
Answer:
4.6cm
Step-by-step explanation:
v=4/3πr^3
128π=4/3π^3
128π×3=4πr^3
384π\4=πr^3
96π\π=r^3
96=r^3
3√96=r
r=4.579
r=4 6cm
The digits 0, 1, 2, 3, and 4 are to be used in a four-digit ID card. a) how many different cards are possible? b) If repetition are permitted? c) If repetition are not permitted?
Answer:
a) Varies on b and c
b) 625 combinations
c) 120 combinations
Step-by-step explanation:
a) How many different cards are possible?
Leads to (b and (c
It depends on if repetition are permitted.
↓
in a 4 digit numerical combination, you were given 5 numbers.
b) If repetition are permitted:
you can put any of the given 5 digits to the 1st, 2nd, 3rd, and 4th position.
Each digits would have 5 turns.
This means that you will have 5 x 5 x 5 x 5 If there is repetition,
which is 5⁴ is 625 possible combinations.
c) repetition are not permitted:
This would mean that you have;
5 turns for the first digit,
4 turns for the second digit,
3 turns for the third digit,
2 turns for the fourth digit.
which means you have 5 x 4 x 3 x 2 possible solutions.
5 x 4 x 3 x 2 = 120
There will be 120 possible combinations in total if there's no repetitions.
________________________________________________________
Hope this helped!
what year is same if you read it upside down?
Answer:
22/02/2022 ,22 February 2022
Step-by-step explanation:
If A and B are 7 x 2 matrices, and C is a 4x7
matrix, which of the following are defined?
A. CA
B. B - A
C. B-C
D. ABT
E. AC
F. CT
Answer:
A, B, D, F
Step-by-step explanation:
Matrix operations require that the matrix dimensions make sense for the operation being performed.
Matrix multiplication forms the dot product of a row in the left matrix and a column in the right matrix. That can only happen if those vectors have the same dimension. That is the number of columns in the left matrix must equal the number of rows in the right matrix.
Matrix addition or subtraction operates on corresponding terms, so the matrices must have the same dimension.
The transpose operation interchanges rows and columns, so reverses the dimension numbers. It is a defined operation for any size matrix.
Defined operationsA. CA ⇒ (4×7) × (7×2) . . . . defined
B. B -A ⇒ (7×2) -(7×2) . . . . defined
C. B -C ⇒ (7×2) -(4×7) . . . undefined
D. AB' ⇒ (7×2) × (2×7) . . . . defined
E. AC ⇒ (7×2) × (4×7) . . . undefined
F. C' ⇒ (7×4) . . . . defined
calling all dazai's ans dazai simps ♡♡♡♡♡♡♡
A blue swimsuit costs $42 and a red swimsuit
costs 5/6 as much. How much would the two
swimsuits cost together?
Mark the $42 in the bar model. Mark what is not
known with "?". Solve.
Answer:
$77
Step-by-step explanation:
Hello!
Let's find the cost of the red swimsuit.
Red Swimsuit[tex]R = \frac56*42[/tex][tex]R = \frac{5*42}{6}[/tex][tex]R = \frac{5*7*6}{6}[/tex][tex]R = 5*7[/tex][tex]R = 35[/tex]The cost of the Red swimsuit is $35.
The cost of both swimsuits is $35 plus $42, which gives is $77.
Find the future value of $15,000 compounded continuously at 6% for 8 years.
The future value with continuous compounding is $127,420.39.
What is the future value?The formula for calculating future value when there is continuous compounding is : A x e^r x N
Where:
A= amount e = 2.7182818 N = number of years r = interest rate15,000 x (e^0.06) x 8 = $127,420.39
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MORE HELP :( acellus work
A triangle is a plane shape bounded by three straight sides, thus it has three internal angles. Therefore, the required values are:
i. x = [tex]40^{o}[/tex]
ii. y = [tex]120^{o}[/tex]
A plane shape is a figure bounded by straight sides. Examples are triangles, squares, rectangles, rhombus, kite, trapezium, etc. A triangle is an example of a plane shape that has three sides, thus three angles. also, the sum of angles in a given triangle is [tex]180^{o}[/tex].
Thus the required values of x and y can be determined as follows:
x + 20 + 120 = [tex]180^{o}[/tex]
x + 140 = [tex]180^{o}[/tex]
x = [tex]180^{o}[/tex] - 140
So that,
x = [tex]40^{o}[/tex]
Thus,
y = 20 + 120 (the sum of opposite angles is equal to an exterior angle.)
= [tex]120^{o}[/tex]
Therefore, x = [tex]40^{o}[/tex] and y = [tex]120^{o}[/tex]
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In how many ways can four people with different heights line up single-file so that exactly two people are taller than the person behind them?
The number of ways by which exactly 2 people are taller than the person behind them is; 6.
What number of ways can they line so that exactly two people are taller than the person behind them?It follows from content that since 4 individuals with different heights are to line up, the 2 individuals who must be taller than the person behind them are represented as one entity and must be in the 1st and 2nd position or the 2nd and 3rd position.
Hence, the number of ways is; 6 upon counting the number of possible outcomes.
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True or false? in a two-column proof, the right column contains a series of
deductions.
A. True
B. False
Answer: True
Step-by-step explanation:
Answer:False
Step-by-step explanation:I took the test
URGENT!
Positive integers B and C satisfy b^2 - bC-23=0. What is the value of C.
A. 21 b. 22 c.23 d.24
The value of C based on the information given about the integer is C. 22.
How to calculate the value?From the information given,
b² + bc - 23 = 0
Let the assumed value for a = 1
b² + bc - 23 = 0
1² + (1 × c) - 23 = 0
1 + c - 23 = 0
c = 23 - 1
c = 22.
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NO LINKS!! Please help me with this problem
Answer:
-8Step-by-step explanation:
[tex] \bf \cfrac{f(x + h) - f(x)}{h} [/tex]
[tex]\bf f(x) -8x + 1[/tex]
[tex]\bf f(x+h) = -8x-8h+1[/tex]
[tex]\bf \cfrac{ - 8x - 8h + 1 + 8x - 1}{h} [/tex]
[tex] \bf =\cfrac{ - 8h}{h} [/tex]
[tex] \bf = - 8[/tex]
▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎▪︎
Answer:
Given function:
[tex]f(x) = -8x + 1.[/tex]
Let's find the difference quotient:
[tex]\frac{f(x+h)-f(x)}{h}\\\\= \frac{[-8(x+h)+1] - (-8x + 1)}{h}\\\\= \frac{-8x-8h+1+8x-1}{h}\\\\ = \frac{-8h}{h}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(h\neq 0)\\\\= -8.[/tex]
Beginning with the graph of f(x) = x2, what transformations are needed to form g of x equals one third times the quantity x plus 3 end quantity squared minus 3 question mark?
To transform f(x) into g(x) we need to use addition, subtraction and multiplication.
Given f(x)=[tex]x^{2}[/tex] and g(x)=[tex]x/3+3(x^{2} -3)[/tex]
We need to transform function f(x)into g(x).
A function refers to a relation which expresses relationship between two variables. It contains one value for each value of x. If there are more than one value for one value of x then it is not said to be a function.
f(x)=[tex]x^{2}[/tex], g(x)=[tex]x/3+3(x^{2} -3)[/tex]
To transform f(x) into g(x) we need to follow the following steps:
First subtract 3 from f(x).Then multiply the expression received from above step by 3.Next step is to add x/3 to the expression received from the above step.Now we will get the g(x)=[tex]x/3+3(x^{2} -3)[/tex].Hence we have to use addition, subtraction and multiplication for transformation.
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The graph of g(x) is wider than f(x) and is shifted to the left 4 units and down 3 units.
Step-by-step explanation:
Use the parabola tool to graph the quadratic function f(x)=−(x−3)(x+1).
This is the graph of f(x)=−(x−3)(x+1). Hope it helps!
20. An amount of money was shared among five boys Ali, Juma, Musa, Khalid and Mustafa. Ali got /8 of the total amount while Juma got /5 of the remainder. The remaining amount was shared equally among Musa, Khalid and Mustafa, each of which received Kshs 600. a) How much did Juma get? b) How much was shared among the five boys. (3 marks) (2 marks)
Answer:
[tex]x=\frac{18000}{7}=2571\frac{3}{7}[/tex]
Step-by-step explanation:
Let the total amount be x
Then Ali got 1/8x With 7/8x left
Juma got 7/40x with 7/10x left
Musa, Khalid and Mustafa got 7/30x each
since [tex]\frac{7}{30}x=600[/tex]
7x=18000
[tex]x=\frac{18000}{7}=2571\frac{3}{7}[/tex]
the graph shows the equation x^2+y^2=5 use the slider for a to move the vertical line on the graph based on the vertical line test is this equation a function why or why not
Answer:
Not a function.
Step-by-step explanation:
The vertical line touches the graph at more than one point at once.
Which could be the graph of the function?
The graph of the function y = sin 0.5x is option A. This can be obtained by using period of the graph function.
Which is the required graph?Periodic function is a function that repeats at uniform intervals; the time interval between two waves is called the period.
A function f will be periodic with period n,f (a + n) = f (a), ∀ n > 0.
After first n the function is same that is f(a), after second function is the same, the function is repeated with an interval of n.
For example: the period of sin a is 2π for the reason that the smallest number satisfying sin (a + 2π) = sin a is 2π, for all a.Therefore the formula for period of a function is 2π/|B| when the function is y = A sin(Bx + C) and y = A cos(Bx + C).
For a function y = sin bx, period is given by,
P = 2π/b
Here function is y = sin 0.5x, therefore b = 0.5
P = 2π/0.5
=20π/5
= 4π
Period is 4π. The first graph has period 4π.
Hence the graph of the function y = sin 0.5x is option A.
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Disclaimer: The question was given incomplete on the portal. Here is the complete question.
Question: Which could be the graph of the function y = sin 0.5x?
Marc mixes blue and yellow paint to make his favorite shade of green, which he'll use to paint his house. He has 14 cans of blue paint and 20 cans of yellow paint when he starts.
He wants the same green color every time he mixes, so the amounts of blue and yellow must always be proportional to the original mixture.
On day 1, he mixes 4 cans of blue and 6 cans of yellow.
On day 2, he mixes 6 cans of blue and 9 cans of yellow.
Fill in the blanks to find the highest number of cans of each color Marc can mix to make the same shade of green on day 3.
In the simplest form, the ratio of blue paint to yellow paint is 2 : 3.
The number of blue paint he used on the first and second day is 10.
The number of yellow paint he used on the first and second day is 15.
On the third day, the highest number of can of blue paint he can use is 2
On the third day, the highest number of can of yellow paint he can use is 3.
What is the highest number of blue and yellow paint he can use?The ratio of blue paint to yellow paint can be determined by determining the simplest form of the paints used: 4 : 6 = 2: 3
Total blue paint used on the first and second day = 4 + 6 = 10
Blue cans remaining = 14 - 10 = 4
Total yellow paint used on the first and second day = 6 + 9 = 15 cans
Yellow cans remaining = 20 - 15 = 5 cans
Maximum ratio of blue and yellow cans that can be used is 2 : 3.
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If a = 3 and b = -2, what is the value of
a²+3ab-6²?
Answer:
-45
Step-by-step explanation: Plug the numbers of a and b into the equation.
Answer:
-45
Step-by-step explanation:
ok so basically since a is 3 a2 will be 9 then you put back the plus sign then 3×a×b will be -18 then 6square will be 36.
=9+(-18)-36
= -9-36
=-45
Mike is c years old, he is half as old as Steve. How old was Steve two years ago?
Answer:
2(c-1)
Step-by-step explanation:
MIke is c
Steve is 2c
Steve was 2c -2 two years ago
PLEASE HELP ME I NEED YO FINISH THIS QUESTION !!!!!!!!!!!The cylinder below has a cross-sectional area of
19 m².
What is the volume of the cylinder?
If your answer is a decimal, give it to 1 d.p. and
remember to give the correct units.
area = 19 m²
13 m
Not drawn accurately
Answer:
247m³
Step-by-step explanation:
volume of cylinder = πr²*h
volume of cylinder = 19m²*13m
volume of cylinder = 247m³
247 cubic meters is the volume of the cylinder.
What is volume?Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.
The area of the circular face of the cylinder is given by:
A = πr²
where r is the radius of the circular face. Since the area of the circular face is given as 19 m², we can solve for the radius as follows:
19 = πr²
r² = 19/π
The volume of the cylinder is given by:
V = Ah
where h is the height of the cylinder. Since the height is given as 13 m and we have just found the radius to be approximately 2.197 m, we can calculate the volume as follows:
V = πr²h
=19*13
≈ 247 m³
Therefore, the volume of the cylinder is approximately 247 cubic meters.
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She first gave a woman feeding pigeons $100. Next, she gave away half of her remaining money to a child licking an ice cream cone. She gave $50 to an old man riding a rickety bicycle. She bought a homeless woman some shoes for $20. Then she gave half of her remaining money to someone giving a sermon on a soapbox. At this point, she only had $3 left, so she handed it to another woman who lived under a bridge. How much money did the woman have in her purse before she started to give it away in dollars?
Answer:
she hd 173 i think if this is correct
Step-by-step explanation:
if she gave 100 dollars away that would add 100 and then 50 150 and another 20 dollars 170 and she has 3 left so she had 173 dollars
AND PLEASE MARK BRAINLEST
5. [0/0.38 Points]
OG
DETAILS
Find all real solutions of the equation. (Ent
0
www
PRE
-
All the real solutions of the given equation are; x = - 5.61 and x = 1.61
How to find the solutions to an equation?We are given the equation;
x - √(9 - 4x) = 0
Add √(9 - 4x) to get;
x - √(9 - 4x) + √(9 - 4x) = √(9 - 4x)
x = √(9 - 4x)
Square both sides to get;
x² = 9 - 4x
Add 4x to both sides to get;
x² + 4x = 9 - 4x + 4x
x² + 4x - 9 = 0
Using online quadratic equation calculator, we have;
x = - 5.61 and x = 1.61
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Long-term assets are depreciated over time for which reason?
Step-by-step explanation:
Depreciation of Long Term Assets
As with most types of assets, long term assets needs to be depreciated over the course of their useful life. It is because a long term asset is not expected to generate a benefit for an infinite amount of time.
Answer:
Inflation
Step-by-step explanation:
The rising costs of goods and services mean that $1 in 2022 will be worth more than $1 in 2032. This is called inflation.
Let's just say you put $200,000 in a savings account in 2000. That could've purchased you a 4 bedroom house at the time.
You keep the money in the account for over 20 years. And in 2020, you want to buy a new home with the money you have saved.
However, you can only buy a 2 bedroom house, because the rising costs of the market, increased the cost, or depreciated your savings.
This is called inflation.
Casper has some whipping cream that is 18%, percent butterfat, and some milk that is %4, percent butterfat. He wants to make a 500 ML mixture of them that is 12%, percent butterfat.
What does point M represent in this context?
Choose 1 answer:
(Choice A, Checked, Correct)
CORRECT (SELECTED)
The mixture has the intended volume and has more than the intended percent of butterfat.
Explanation: Point M is on line b, so it represents a scenario where the mixture has a volume of exactly 500 ML. Also, point M is above line a, so it represents a scenario where the mixture has more than 12%, percent butterfat.
L represent Option A. The correct answer is that the mixture has the intended volume and has more than the intended percent of butterfat.
What is the graph about?Note that:
The graph shows that the point L is one that is below the blue line of the graph.
Therefore, x + y = 500
Also one need to see that:
0.18x + 0.04y = 500(0.12)
Since that cream is 18% butterfat, milk is 4% butterfat, so L is composed of of 350 ml of cream and 100 ml of milk.
Hence the total amount of butterfat for L is:
0.18 x 350 + 0.04 x 100
= 67ml.
Next, one has to calculate 12% of the volume of L :
12% of 450:
0.12 x 450 = 54ml
So, because 67 is bigger than 54, this implies that the volume of butter fat in L is more than 12 %.
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If one card is randomly selected from a well-shuffled standard deck of 52 cards, what is the probability that the card selected is not a heart?
Probability helps us to know the chances of an event occurring. The probability that the card selected is not a heart is 3/4.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
The probability of the card not being selected is a heart is,
Probability = (Number of cards without heart)/Total number of cards)
Probability = 39/52
Probability = 3/4
Hence, the probability that the card selected is not a heart is 3/4.
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PLEASE HELP
Find the point that splits segment CD in half if point C is located at (−2, 4) and point D is located at (3, 7)
(2.5, 1.5)
(1, 5)
(0.5, 5.5)
(3, 2)
Answer:
0.5, 5.5
Step-by-step explanation:
ive done this worksheet before
Answer: Choice C
(0.5, 5.5)
===========================================================
Explanation:
Draw out a number line with -2 and 3 on it. These are the x coordinates of the given points. Add up these values and divide by 2 to get the midpoint on the number line.
(A+B)/2 = (-2+3)/2 = 1/2 = 0.5
The value 0.5 is the midpoint of -2 and 3. This midpoint is equally spaced from both endpoints.
Therefore, the x coordinate of the midpoint is 0.5
Repeat this idea for the y coordinates
Add: 4 + 7 = 11
Divide the result in half: 11/2 = 5.5
The y coordinate of the midpoint is 5.5
The overall midpoint itself is located at (x,y) = (0.5, 5.5)
This is why choice C is the final answer.
Visual confirmation is shown below. GeoGebra has a nice handy feature to find the midpoint very quickly with just a few clicks.
Help I need the strategies with this one I don’t get it.
The graph of the equation y = 1/4x will pass through which of the following
pairs of points?
A. Point S and (-1,2)
B. Point S and (0,-2)
C. Point T and (0,0)
D. Point T and (0,-2)
Answer:
C. Point T and (0,0)
Step-by-step explanation:
There are more complicated ways to find this answer but the easiest is to go to an online graph maker (I use Desmos) and insert the equation. Then look for each point and see if the line passes through any of these points.
A number line going from negative 3 to positive 5. a closed circle is at negative 1.5. everything to the left of the circle is shaded. which inequalities have the solution set graphed on the number line? check all that apply. x greater-than-or-equal-to -1.5 x less-than-or-equal-to -1.5 -1.5 less-than-or-equal-to x -1.5 greater-than-or-equal-to x x less-than-or-equal-to -2.5 x greater-than-or-equal-to -2.5 -2.5 greater-than-or-equal-to x
The inequalities which matches the graph are: x ≥ ₋1.5 and ₋1.5 ≤ x
Given, a number line is moving from ₋3 to ₊5 .
Next a mark is made at ₋1.5 and everything to its left is shaded which means not visible.
When we mark the point and shade the left part of it then we can start applying the inequality expressions.
And from that we can match the applicable inequalities while observing the graph.
For the first inequality ₋1.5 ≥ x.Here,x value ranges from ₋1.5 to ₊5, hence we take this as an inequality expression.Next, if we consider x ≤ ₋1.5, then here x value will range from ₋1.5 to ₋3. where the region is shaded. Hence this expression doesn't satisfy the graph.the next expression is ₋1.5 ≤ x. here the value will again range in the shaded area so it is not applicable.₋1.5 ≥ x, here the values will satisfy the graph.remaining inequality expressions does not support the graph.Therefore the only inequalities the graph represents is x ≥ ₋1.5 and ₋1.5 ≤ x
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A textile factory wants to start incorporating silk into their cotton fabric. The factory currently has 200lbs of cotton, which costs $0.75 per pound. Silk, however, costs $15 per pound. If the factory wants the cost of their blended fabric to be $5 per pouund, how much silk will they need to buy?
Answer:
cos4B=1-8sin^2B+8sin^4B