Step-by-step explanation:
V = Volume of cube
a = edge of cube
Formula of volume of cube:
V = a³
[tex]V = { (\frac{1}{4}) }^{3} \\ V = \frac{1}{64} [/tex]
Volume of the cube = [tex] \frac{1}{64} [/tex]
Simplify the following expression.
5/6 x 3/5
Answer:
1/2
Step-by-step explanation:
5/6 • 3/5
15/30 = 1/2
Answer:
1/2
Step-by-step explanation:
For fraction multiplication, multiply the numerators and then multiply the denominators to get
5 × 3/ 6 × 5 = 15/30
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 15 and 30 using
GCF(15,30) = 15
15 ÷ 15/30 ÷ 15 = 1/2
Therefore:
5/6 × 3/5 = 1/2
If x=5 and y=3 find the value of x+2y
Answer:
x=5
y=3
then ,
x+2y= 5+2 *3
= 5+6
= 10
The conjugate of (2+i)²/3+i, in the form of a+ib, is
13/2 + i(25/2)
13/10 + i(-15/2)
13/10 +(-9/10)
13/10+(9/10)
Given that
(2+i)²/(3+i)
On multiplying both numerator and the denominator with (3-i) then
⇛ [(2+i)²/(3+i)]×[(3-i)/(3-i)]
⇛ [(2+i)²(3-i)]/[(3+i)(3-i)]
⇛ [(2+i)²(3-i)]/[(3²-i²)
⇛ [(2+i)²(3-i)]/(9-i²)
⇛ [(2+i)²(3-i)]/[9-(-1)]
Since ,i² = -1
⇛ [(2+i)²(3-i)]/(9+1)
⇛ [(2+i)²(3-i)]/10
⇛ [{2²+i²+2(2)(i)}(3-i)]/10
⇛ (4+i²+4i)(3-i)/10
⇛ (4-1+4i)(3-i)/10
⇛ (3+4i)(3-i)/10
⇛ (9-3i+12i-4i²)/10
⇛ (9+9i-4(-1))/10
Since, i² = -1
⇛(9+9i+4)/10
⇛(13+9i)/10
⇛ (13/10)+ i (9/10)
We know that
The conjugate of a+ib is a-ib
So,
The conjugate of (13/10)+ i (9/10) is
(13/10)-i(9/10) ⇛ (13/10)+i (-9/10)
Answer:-The conjugate of (13/10)+ i (9/10) is (13/10)+i (-9/10)
Additional comment:
The conjugate of a+ib is a-ib and i = -1(a+b)² = a²+2ab+b² • (a+b)(a-b)=a²-b² •(a-b)²=a²-2ab+b².What is the value of x in the triangle?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The value of x is ~
[tex] \boxed{5 \sqrt{3} }[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
The Triangle stated in the diagram is a right angled Triangle, so
[tex] \tan(30) = \dfrac{x}{15} [/tex][tex] \dfrac{1}{ \sqrt{3} } = \dfrac{x}{15} [/tex][tex]x = \dfrac{15}{ \sqrt{3} } [/tex][tex]x = 5 \sqrt{3} [/tex]What is (n+9) - (2-2n)
Answer:
Simplifying
(n + 9) + -1(2 + -2n) = 0
Reorder the terms:
(9 + n) + -1(2 + -2n) = 0
Remove parenthesis around (9 + n)
9 + n + -1(2 + -2n) = 0
9 + n + (2 * -1 + -2n * -1) = 0
9 + n + (-2 + 2n) = 0
Reorder the terms:
9 + -2 + n + 2n = 0
Combine like terms: 9 + -2 = 7
7 + n + 2n = 0
Combine like terms: n + 2n = 3n
7 + 3n = 0
Solving
7 + 3n = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 3n = 0 + -7
Combine like terms: 7 + -7 = 0
0 + 3n = 0 + -7
3n = 0 + -7
Combine like terms: 0 + -7 = -7
3n = -7
Divide each side by '3'.
n = -2.333333333
Simplifying
n = -2.333333333
Step-by-step explanation:
Pls solve this question
1. Find the slope of the line that passes through
the points (6, 13) and (-3, 7).
Answer:
hope this helps :)
- b. Yolanda played a new number game with Xavier. She used this equation to generate her response to each number Xavier said: y = x - 2 Describe with words the rule Yolanda uses. Then make a function table a that shows the numbers Yolanda says for four numbers Xavier might say. Use 0 for one of Xavier's numbers and three more numbers of your choosing. Is the function linear? Is it proportional?
(a) One possibility is 8.45
Rounded to the nearest integer = 8
Rounded to the nearest tenth = 8.5
And rounding this to the nearest integer = 9
(b) The possible numbers are 8.45 to 8.49, inclusively
Answer:
Table is below in explantation
Not proportional
yes, linear
Step-by-step explanation:
We substitute and solve:
TABLE:
X --> Y
0 --> -2 (0-2 = -2)
1 --> -1
2 --> 0
Yes, it is linear, the slope is 1 and is written in slope - intercept form
No, not proportional, the y - intercept is (0, -2) not (0,0)
lhaila and her friends organize an overnight swimming pool get together the total amount of Php 24 000 wa allotted for the resort reservation and car rental which would be divided in proportion to the number of attendees laila noted some possible amount of contribution in proportion into the number of attendees
Using the concept of variation, there is an inverse relationship between the number of attendees and the contribution made by each attendee.
Since the amount of chocolate decreases as the number of attendees increase;
We use inverse variation to model the scenario :
y = k/x ; k = constant of proportionalityTaking any pair of points :
3000 = k/8
k = 3000 × 8
k = 24000
Hence, the constant of variation is 24000The variation expression is y = 24000/x This means that the total cost of organising the gettogether is to be shared equally among the attendeesTherefore, the variation statement is "the amount paid per attendee is inversely proportional to the number of people in attendance.
Learn more :https://brainly.com/question/25480062
A is the point (5, 7) and B is the point (9, -1)" Find the equation of the line AB
Answer:
Step-by-step explanation:
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
We can calculate the slope from the two given points, A(5,7) and B(9,-1).
Slope is Rise/Run, where Rise is the change in y and Run is the change in x.
From the two given points, starting at (5,7) and going to (9,-1):
Rise = (-1 -7) = -8
Run = (9-5) = 4
Rise/Run (slope) = -8/4 or -2
The equation becomes y = -2x + b
We can find b by entering either of the two given points and solving for b. I'll pick (5,7):
y = -2x + b
7 = (-2)*(5) + b
7 = -10 + b
b = 17
The equation is y = -2x + 17
Check this with a DESMOS graph (attached).
The equation of line AB is y= -2x +17
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
Points A(5, 7) and B(9, -1)
So, slope for the equation is
sloe= (-1 - 7)/ (9- 5)
slope = -8/ 4
slope= -2
Now, using slope- intercept form
y - b = m ( x- a)
y - 7= -2( x - 5)
y- 7 = -2x + 10
y= -2x + 17
Hence, the equation of line AB is y= -2x +17
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ2
Find the equations of a line through these 2 points
(1,2) & (3,5)
2. (-2,0) & (0,8)
3. (4,-5) & (11,-5)
4. (6,2) & (9,3)
6. (6,2) & (10,3)
5. (7,5) & (6,11)
answer is 2.2 66 88862 u88272
Which shows the prodcuts orderd from least to greatest
a sum of money at simple interest doubles itself in 10 years .Find the rate percent per annum
Answer:
Rate = 100/10 = 10%. ∴ The rate of interest is 10%. ∴ The rate of interest is 10%.
write 5 3/5 improper fraction
Answer:
28/5 is the answer.
Step-by-step explanation:
Multiply the denominator by the whole number
5 × 5 = 25 Then we add the answer from the last step to the numerator 25 + 3 = 28 next we write the answer from the last step over the denominator which is 28/5.
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{5\dfrac{3}{5}}\\\\\mathsf{= \dfrac{5\times5+3}{5}}\\\\\mathsf{= \dfrac{25 + 3}{5}}\\\\\mathsf{= \dfrac{28}{5}}\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{\dfrac{28}{5}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
7th grade math please help
Answer:
11.8
Step-by-step explanation:
brainlest
If x # y = 2x + y, then 1 # 2 =
Answer:
1 # 2 = 4
Step-by-step explanation:
1 # 2 = 2*1 + 2 = 2 + 2 = 4
Solve the system.
y-x=4
x+y=6
Answer:
x=1 y=5
Step-by-step explanation:
y=4+x
x=y=6
x+4+x=6
y=4+x
2x+4=6
y=4+x
2x=2
y=4+x
x=1
y=4+x
y=5
x=1
if a diagram shows a square with perimeter 40cm whats the percentage of the area inside the square that is shaded
Answer:
5
Step-by-step explanation:
Eacl side of the square has a length of 5 cm.
Answer:
55%
Step-by-step explanation:
i assume your question is from mathswatch
And this is the answer for it!
If Martin buys a coke for $1.85 on a credit card that charges 22% interest compounded monthly what will the coke actually cost him if he does not pay the credit card off in five years?
Using compound interest, it is found that the coke will actually cost him $5.50.
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
The coke is bought for $1.85, hence [tex]P = 1.85[/tex].The interest rate is of 22%, hence [tex]r = 0.22[/tex].It is compounded monthly, hence [tex]n = 12[/tex].Five years, hence [tex]n = 5[/tex]Then:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(5) = 1.85\left(1 + \frac{0.22}{12}\right)^{12(5)}[/tex]
[tex]A(5) = 5.50[/tex]
The coke will actually cost him $5.50.
A similar problem is given at https://brainly.com/question/14239300
¿Cuál es la probabilidad de que una mujer que ha sido vacunada en este lapso de cuatro
meses haya recibido su segunda dosis en octubre ?
Answer: buddy if you put it in English i can do it I’m a teacher
Step-by-step explanation:
pls help 3 x 2 + 6 (4+1) = ???
Answer:
17 IS THE ANSWER......................
Answer:
Your answer should be 36.
HELP PLEASE
Acellus
Solve this system of equations by
using the elimination method.
Answer:
(2, 2)Step-by-step explanation:
Add up the equations, it will eliminate x as variable:
3x + 6y - 3x + 4y = 18 + 210y = 20y = 2Find the value of x:
3x + 6*2 = 183x + 12 = 183x = 6x = 2Given : -
3x + 6y = 18 ... (1)-3x + 4y = 2 ... (2)To find : -
Solution x and y?Solution : -
3x + 6y = 18
-3x + 4y = 2 +
10y = 20
y = 20/10 = 2[tex] \: [/tex]
3x + 6y = 18
3x + 6(2) = 18
3x + 12 = 18
3x = 18 - 12
3x = 6
x = 6/3 = 2[tex] \: [/tex]
(2 , 2)BA is congruent to BC and DA is congruent to EC. Prove BD is congruent to BE.
Answer:
See below for answer.
Step-by-step explanation:
BA ≅ BC Given
DA ≅ EC Given
BA + DA ≅ BC + EC Congruent parts are congruent
BD ≅ BE Addition
Alexander and his friends are going into a restaurant. How much would it cost to buy 2 hotdogs and 40 chicken wings if each hotdog costs $4.00 and each chicken wing costs $0.50? How much would it cost to buy 22 hotdogs and 4040 chicken wings if each hotdog cost \$h$h and each chicken wing cost \$c?$c?
An art club sells 42 large candles and 56 small candles.
a. Use the Distributive Property to write and simplify an expression for the profit.
expression for the total profit:
_(_-x) + (_-y)
simplified expression for the total profit:
b. A large candle costs $5, and a small candle costs $3. What is the club’s profit?
club's profit: $
Answer:
(700-42-56)
Step-by-step explanation:
10-x
5-y
4 in a cell of 42 large candles and 56 small candles the total profit would be p equals 40 to 10 - x + 56 * 5 - y
what is 24x + 4 = 52
Answer:
x=2
Step-by-step explanation:
24x=48, x=2 (subtract 4 from both sides)
Answer:
[tex]\bf 24x+4=52[/tex]
[tex]\bf 24x+4-4=52-4[/tex]
[tex]\bf 24x=48[/tex]
[tex]\bf \cfrac{24x}{24}=\cfrac{48}{24}[/tex]
[tex]\boxed{\bf x=2}[/tex]
⊱ ────── {.⋅ ✯ ⋅.} ────── ⊰
Plz plz plz plz plz
pls solve Solve. 3/4(x−8) =−1/2
x=−26/3
x = 10
x=22/3
Answer:
i think its the 3rd option
Step-by-step explanation:
i'd'k what it is but you can read it over and over again
(p.s Brainleist?)
Answer:
x=22/3
Step-by-step explanation:
Cuanto le mide a messi la tula ?
Answer:
5’7”
Step-by-step explanation:
te refieres a lionel messi? el mide 5'7 ".
Perdon, mi español no es muy bueno :)
if a number became 2.5 times smaller, what precent was it decreased by
Answer:
25 percent because when you change it in percent it came25 percent
