Answer:
Cup
Explanation:
Gallon is too large, it'll spill over.
Pound is just... Obviously not. You use that to weight people...
And ounce is smaller than a cup but we're talking about the most appropriate unit therefore your answer is cup.
Hope that helps <3
Show that:
[tex]\bigg(\frac{ \sqrt{7} + i \sqrt{3} }{\sqrt{7} - i \sqrt{3} } + {\frac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } } \bigg) \: is \: real \\ [/tex]
Please answer this question.
Step-by-step explanation:
[tex]\large\underline{\sf{Solution-}}[/tex]
Consider,
[tex]\rm \longmapsto\:\dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } [/tex]
On taking LCM, we get
[tex]\rm \: = \: \dfrac{ {( \sqrt{7} + i \sqrt{3})}^{2} + {( \sqrt{7} - i \sqrt{3})}^{2} }{( \sqrt{7} + i \sqrt{3})( \sqrt{7} - i \sqrt{3})} [/tex]
We know,
[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {(x + y)}^{2} + {(x - y)}^{2} = 2( {x}^{2} + {y}^{2})}}} \\ [/tex]
and
[tex] \purple{\rm \longmapsto\:\boxed{\tt{ (x + y)(x - y) = {x}^{2} - {y}^{2} \: }}} \\ [/tex]
So, using these Identities, we get
[tex]\rm \: = \: \dfrac{2\bigg[ {( \sqrt{7})}^{2} + {(i \sqrt{3}) }^{2} \bigg]}{ {( \sqrt{7}) }^{2} - {(i \sqrt{3})}^{2} } [/tex]
[tex]\rm \: = \: \dfrac{2(7 + 3 {i}^{2})}{7 - {3i}^{2} } [/tex]
We know,
[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {i}^{2} = - 1}}} \\ [/tex]
So, using this, we get
[tex]\rm \: = \: \dfrac{2(7 - 3)}{7 + 3} [/tex]
[tex]\rm \: = \: \dfrac{2 \times 4}{10} [/tex]
[tex]\rm \: = \: \dfrac{4}{5} [/tex]
Hence,
[tex] \red{\rm\implies \:\boxed{\sf{ \dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } \: is \: purely \: real}}}[/tex]
Jerry played with 3 friends today, all at different times. He played with Tommy for 1 7/8 hours, then Nathan for 1 3/4 hours, then Chris for 3/2 hours.
How many hours did Jerry play with his 3 friends today?
Answer:
4hrs 7 minutes and 30 seconds
Step-by-step explanation:
1 7/8 = (1=60) + (7/8 * 60) = 1 : 52:50 time played with Tommy 1 3/4 = (1=60 ) ( (3/4 * 60) = 1:45:00 time played with Nathan 3/2 = (3/2 *60) = 90 = 1:30:00 time played with Chris Total played with 3 friends = 1:52:50 + 1:45:00+1:30:00= 4:07:50 = 4hrs 7 minutes and 30 seconds
Find the circumference of a wheel whose radius is 35cm. Find the distance covered in 60 seconds ,if it revolves 5 times per second
Answer:
hey I hope this is clear
Step-by-step explanation:
Write the equation of the line in point-slope form.
Answer:
y= 4/3x+2
Step-by-step explanation:
the y intercept is at 2 and you do rise over run for m
Jim and his friends went out for dinner at a restaurant and the bill was $68.50 if Jim wants to tip 18% what should the tip be
Answer:
$12.33
Step-by-step explanation:
Since the bill is $68.50, and Jim wants to tip 18%, it will be $80.83 in total
18% = 0.18
since you don't want to DECREASE the bill, it's 1.18
1.18 x 68.5 = 80.83
hope this helped :)
How do you solve for x and y. Thanks!!
Kinda urgent sorry..
Answer:
x= 17.5
y= 35
Step-by-step explanation:
Steps are in attachment.
Answer:
• For x (Acute angle property)
[tex]{ \rm{(2x + 10) \degree + 30 \degree + 6x=180 \degree}} \\ \\ { \rm{8x + 40=180}} \\ \\ { \rm{8x = 140}} \\ \\ { \boxed{ \underline{ \rm{ \: \: x =17.5 \: \: }}}}[/tex]
• For y ( Interior angle sum of triangles )
[tex]{ \rm{(y + 10) \degree + 6x \degree + 30 \degree = 180 \degree}} \\ \\ { \rm{y + 10 + 30 + (6 \times 17.5) = 180}} \\ \\ { \rm{y +145 = 180 }} \\ \\ { \boxed{ \underline{ \rm{ \: \: y = 35 \: \: }}}}[/tex]
can somebody help me with these 2 questions plz
Answer:
1) 14/3 (D)
2) -0.6 (C)
Step-by-step explanation:
1) 5-(2/3)*(2/3//4/3)
2)|-1.2-2.03|-2.03/-2
Whose sequence proves triangle ABC is congruent to triangle DEF? Why?
Answer:
If you are doing the same assignment as me then you probably have to choose between either Chanel or Preston and if my math is correct than the right answer would be Chanel.
how to solve
2(x+6)=4
x=?
Answer:
[tex]x=-4[/tex]
Step-by-step explanation:
[tex]2(x+6)=4~(Given)\\\\2x+12=4~(Distribute~2~to~x+6)\\\\2x+12-12=4-12~(Subtract~12~on~both~sides)\\\\2x=-8~(Simplify)\\\\\frac{2x}{2}=\frac{-8}{2}~(Divide~2~on~both~sides)\\\\x=-4~(Simplify)[/tex]
Answer:
[tex]\boxed {x=-4}[/tex]
Step-by-step explanation:
[tex]2(x+6)=4[/tex]
Divide both sides by 2 :
[tex]\cfrac{2\left(x+6\right)}{2}=\cfrac{4}{2}[/tex][tex]x+6=2[/tex]Subtract 6 from both sides:
[tex]x+6-6=2-6[/tex][tex]x=-4[/tex]______________________
What are the values of each Halloween icon? (Math Logic Puzzles)
Witch hat = 5
Jack o' lantern = 2
Ghost = 7
Witch Pot = 10
7 x 5 = 35 + 5 = 40
10 x 2 = 20 + 2 = 22
7 + 10 = 17 + 10 = 27
2 x 5 = 10 + 7 = 17
7 + 7 = 14 + 5 = 19
1. 7x5+5=40
2. 10x2+2=22
3. 7+10+10=27
4. 2x5+7=17
5. 7+7+5=19
Help please due today
Answer:
Line a. goes to table 3, line b. goes to table 2, and line c. goes to table 1.
Step-by-step explanation:
Here are the 3 lines graphed (I even labeled each for you) so you can have a bit of a visual.
Hopefully you can find the points on each graph.
(Hint: The x row represents the x coordinate of an ordered pair, and the y row represents the y coordinate of an ordered pair.)
Ordered pairs look like this btw (x,y)
Hope this helps :)
May I please receive help?
Please????
Answer:
<1=23
Step-by-step explanation:
If WXZ contains both <1 and <2, and <2 is 4 times <1, then we can set this up as x + 4x = 115
This is easily simplified to 5x = 115
Divide both sides by 5 and you will get x=23
Simplify 3a^2-a^2 pleassssewwwwwww
Answer:
2a^2
Step-by-step explanation:
what is the volume of the prism?
Answer:
Step-by-step explanation:
h = 3 ft
l*b = 25 sq.ft
Volume = l*b *h
= 25 * 3
= 75 cubic feet
Answer:
75ft
Step-by-step explanation:
First you mupilply [tex]25 x 3 = 75ft[/tex]
and that is it.
Helppppppp pleaseee tyy smmm
Answer: 56
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
The number 356 is between which pair of numbers? a. 340 and 350 b. 350 and 360 c. 360 and 370 d. 370 and 380
If you translated the point a (4,-3) left 2 units and down 6 units where is A
pls help don't send links
Answer:
there is not any correct answer among the options.
the answer is
[tex] \frac{ - 21}{45} [/tex]
Simplify the expression!
-7/15
3/4+x=2x-x+ ?(need answer)
Answer:(x - 4)(2x + 3)
FOIL = first,outside,inside,last
F -- so multiply first terms in each set....(x)(2x)
O -- multiply outside terms in each set...(3)(x)
I -- multiply inside terms in each set....(-4)(2x)
L -- multiply last terms in each set.......(-4)(3)
Step-by-step explanation:
HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
Commutative Property
Step-by-step explanation:
Hope it helps. Please mark me brainliest if you would :D
suppose 48 out of every 120 people like baseball. of the people who like baseball 3 out of 5 play base ball if you ask 500 people how many would play baseball
Answer:
120 people would play
Step-by-step explanation:
Round each number to the nearest ten 24. 311. 107
Answer:
24-20 311-310 107-110
Step-by-step explanation:
Answer:
nearest tenth
......
24= 20
311=310
107=110..........
Kirsty is making a fruit drink for 9 people. How many oranges does she use?
Answer:
9
Step-by-step explanation:
Evaluate 7 10 × 4 5 Give your answer in its simplest form.
maths help me maths giving 10 point
The sides of a square have length s. Write a formula for the perimeter P of the square. Write a formula for the area A of the square.
Answer:
a
Step-by-step explanation:
Solve the quadratic equation numerically (using tables of x- and y-values).
x2 + 9x + 18 = 0
a. x = 6 or x = 2
c. x = -6 or x = -3
b. x = 6 or x = -3
d. X = 6 or x = -1
Answer:
Third Option: [tex]x=6[/tex] or [tex]x=-3[/tex]
Step-by-step explanation:
[tex]x^2+9x+18=0[/tex]
[tex](x+6)(x+3)=0[/tex]
[tex]x=6[/tex] or [tex]x=-3[/tex]
fill in the blank
( ___-2a)^2=9b^2-___+___
Answer:
(3b-2a)^2=9b^2-12ab+4a^2
Step-by-step explanation:
Using the formula (a-b)^2=a^2-2ab-b^2, you can plug in the values to get your answer. (Sorry I can't really explain more, it's just using the formula. Hope this helps)
Which type of parent function is f(x) = ?
A. Square root
B. Reciprocal
C. Quadratic
D. Cube root
SUNMIT
Answer:
Write properties of function:
x intercept/zero: x = 0
Step-by-step explanation:
Write properties of function: Write properties of function:
x intercept/zero: x = 0
Answer: Write properties of function:
x intercept/zero: x = 0
Betty was charged 15 1/2% interest for the year
on her loan of £2 400. James was charged 12% interest for the year on his loan of £4 000.
How much more interest did James pay for the
year?
HELP PLEASE
Answer: James was charged with $180 more for the year that Betty
Step-by-step explanation: So I dont know how your money currency works sorry, also Ive never done this kind of math problem so I dont know if its right