Answer:
Step-by-step explanation:
[tex]\alpha+\beta=\dfrac{5}{2} \\\\\alpha*\beta=\dfrac{1}{2} \\\\\alpha^2+\beta^2=\dfrac{21}{4} \ (see\ previous\ post)\\\\(\alpha+\beta)^4=\dfrac{625}{16} \\\\=\alpha^4+\beta^4+4*\alpha^3*\beta+6*\alpha^2*\beta^2+4*\alpha*\beta^3\\\\=\alpha^4+\beta^4+4*(\alpha*\beta)(\alpha^2+\beta^2)+6*\alpha^2*\beta^2\\\\\alpha^4+\beta^4=(\alpha+\beta)^4-4*(\alpha*\beta)(\alpha^2+\beta^2)-6*\alpha^2*\beta^2\\\\= \dfrac{625}{16} -4*\dfrac{1}{2} *\dfrac{21}{4} -6*(\dfrac{1}{2})^2 \\\\[/tex]
[tex]= \dfrac{625}{16}- \dfrac{168}{16}-\dfrac{24}{16}\\\\\\= \dfrac{433}{16}[/tex]
PLS HELP ME IF YOU CAN!!!
Geometry
Explain if you want (optional)
Answer:
Step-by-step explanation:
Hi, this is 3 questions In one! 1. Solve and simplify. 2/7 divided by 4/5
2. Convert the fraction to a decimal: 38/333
3. Convert the fraction to a decimal 12/111
THIS IS 3 in 1
Step-by-step explanation:
1.5/14
2.0.114114114....
3.0.108108108
plssss mark me brainliest
1. Ans; The choose D. 5/14
[tex] \frac{2}{7} \div \frac{4}{5} \\ \\ \frac{2}{7} \times \frac{5}{4} = \frac{5}{14} [/tex]
2. Ans; The choose B.(No D.)
[tex] \frac{38}{333} = 0.114[/tex]
3. Ans; The choose D.[tex] \frac{12}{111} = \frac{4}{37} = 0.108[/tex]
I hope I helped you^_^
11. Solve the equation to find the
value of the variable.
3y - 4 = - 20
Answer:-16/3
Step-by-step explanation:
Answer:
y=5.3 repeating
Step-by-step explanation:
add 4 to each side to cancel the 4 out. so it would be 3y=16 (-20 + 4 = -16) and then divide both sides by 3 to get y. 16 divided by 3 is 5.33333... so your answer would be y=-5.3 .
Pls help I’m very confused on this
Answer:
2nd Line
Step-by-step explanation:
In the second line he multiplied out the -4 and -8 which should've been a positive 32 but he put it as a negative.
Answer:
x = 7 ; see explanation below :)
Step-by-step explanation:
First off, here's what the steps should've actually been:
[tex]-4(x-8)+2x=18\\-4x+32+2x=18\\-2x+32=18\\-2x=-14\\x=7[/tex]
Now, the mistake in the original equation is that -4(x-8) was expanded to be -4x-32 - It is not '-32' because multiplying two negative numbers (-4 and -8) will give you a positive number - that number should be 32. Of course, that one silly mistake then made the rest of the equation wrong too!
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What is 1,025 divided by 68 full explanation
Answer:
15.1 (rounded to the nearest tenth decimal point)
Step-by-step explanation:
The explanation is, this is simple maths, nothing else. Let me know if it helps. Thank you
PLEASE HELP FAST!! I CANNOT GET THIS WRONG!!!!
Makayla and David work at a furniture store. Makayla is paid $230 per week plus 7.5% of her total sales in dollars, x, which can be represented by g(x)=230+0.075x. David is paid $321 per week plus 4% of his total sales in dollars, x, which can be represented by f(x)=321+0.04x. Determine the value of x, in dollars, that will make their weekly pay the same.
Answer:
6
Step-by-step explanation:
you kna mean?
Convert 9.500 to a fraction
Answer:
Step-by-step explanation:
9.500 x 1000
1 x 1000
=
9500/ 1000
next
9500/500
----------------
1000/500
=
19/ 2
so 19/2 is the answer
Step-by-step explanation:
Permit me to re-write it as 9.5/1
so, multiply both the numerator and the denominator by 10 to clear the decimal
then we have,
95/10
divide both the numerator and the denominator by 5
we have,
19/2
converting to proper fraction the answer is,
9½
PLEASE HELP! 10 points!
Step-by-step explanation:
It easy isn't it my friend
Write a quadratic equation in standard form that has roots of -12 and 2
Answer:
x² + 10x - 24
Step-by-step explanation:
Given the roots are x = - 12 and x = 2 then the corresponding factors are
(x + 12) and (x - 2) and their product equals zero , that is
(x + 12)(x - 2) = 0 ← expand using FOIL
X² + 10X - 24 = 0
Is √5x - 12 = 0 nonlinear or linear?
Are these two expressions equivalent?
5(3+2) and 5.3 + 5.2
Answer:
No
Step-by-step explanation:
5(3+2) = 5(5) = 25
5.3 + 5.2 = 10.5
25 doesn't equal 10.5 therefore 5(3+2) isn't equivalent to 5.3 + 5.2
1.) 3 3/8 - 1 1/2 = ?
2.) 168.45 + 67.3 = ?
3.) 6 3/5 + 3 9/10 = ?
4.) 249.6 - 58.07 = ?
5.) 5/6 + 7/12 = ?
6.) 334.16 - 95.03 = 3
(Pls answer it’s for homework.)
Step-by-step explanation:
1. -17/8
2. 235.75
3. 21/2
4. 191.53
5. 17/12
6. 239.13
$2710 is compounded annually at a rate of 9% for 1 year
1. Write a suitable name for set below
Answer:
There is no set :(
Step-by-step explanation:
Express 7. 66 repeating as a ratio of two integers.
convert 5476 to base seven
Assuming 5476 is given in base 10.
We have
5476 = 2×2401 + 674 = 2×7⁴ + 674
674 = 1×343 + 331 = 1×7³ + 331
331 = 6×49 + 37 = 6×7² + 37
37 = 5×7 + 2 = 5×7¹ + 2
2 = 2×1 = 2×7⁰
so that
5476₁₀ = 21652₇
write each fraction number as a decimal write each fraction number as a decimal 4/33
Which of the following describe -1 4/6? Select all that apply.
rational number
irrational number
whole number
integer
Answer:
rational number
Step-by-step explanation:
as the denominator is not zero
50 points
The diameter of a circle measures 30 yd. What is the circumference of the circle?
Use 3.14 for a, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
C=pi(d)
C=94.25
Step-by-step explanation:
Answer:
94.2 Yd
Step-by-step explanation:
r=d/2
=30/2
=15
C=2πr
solve, 2×3.14×15
30×3.14
94.2 yd
Is the square root of 25 real number or natural number or integer number or a whole number or Irrational number or a rational number?
Answer:
Yes, the square root of 25 is a whole numbers.
Step-by-step explanation:
Yes, square root of 25 is a rational number.
What’s 9 2/3into as improper fraction .
Answer:
[tex]\frac{29}{3}[/tex]
Step-by-step explanation:
9*3+2
50 POINTS, GEOMETRY + BRAINLIST
IN each figure P bisects the segment. Find the value of each variable
20.
PLEASE HELP!!!
what is -3 1/3+5/6 please help me
Answer:
-15/6
Step-by-step explanation:
-3 1/3+5/6
5/6 - 3 1/3
=> 5/6 - 10/3
=> 5/6 - 20/6
=> -15/6
Answer:
-15/6
by cancellation
-5/2
Step-by-step explanation:
-10/3+5/6
LCM of 3,6 is 6
So,
Make the denominators equal,
-20+5/6
-15/6
ɪ ɴᴇᴇᴅ ʜᴇʟᴘ ᴡɪᴛʜ ᴛʜɪꜱ !
ᴍᴀᴛʜ ᴇxᴘᴇʀᴛꜱ ᴏɴʟʏ
If you were going to be handling harmful chemicals in a lab, what safety equipment would you use to protect your eyes and face?
a. safety glasses
b. gloves
c. chemical splash goggles
d. apron
If you were going to be handling harmful chemicals in a lab, you would use gloves, chemical splash goggles, and apron safety equipment to protect your eyes and face. Which is the correct answer would be options (B), (C), and (D)
What safety equipment would you use to protect your eyes and face?To protect your eyes and face when working with dangerous chemicals in a lab, put on this safety equipment.
A material is corrosive if it has the potential to harm a surface upon contact.
These compounds provide a risk to people since they can burn their eyes, skin, and internal organs through inhalation of gases.
By strictly adhering to the biosafety protocol that a laboratory demands the use of masks, goggles, gloves, and an apron or lab coat, these chemical burns can be prevented.
The terms of biosafety in a laboratory require that the person must not have the eyes and skin exposed.
Therefore, If you were going to be handling harmful chemicals in a lab, you would use gloves, chemical splash goggles, and apron safety equipment to protect your eyes and face.
Which is the correct answer would be options (B), (C), and (D)
Learn more about the safety equipment here :
https://brainly.com/question/17225935
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PLEASE HELP!!! HIGHSCHOOL GEOMETRY
(05.03 MC)
In the figure below, ΔABC ≅ ΔDEF. Point C is the point of intersection between segment AG and segment BF, while point E is the point of intersection between segment DG and segment BF.
Prove ΔABC ∼ ΔGEC. (10 points)
Step-by-step explanation:
ABC is congruent to DEF because angle C = angle C because of vertical angles angle E = angle E because of vertical angles angle G = angles A and D because of 3rd angle theorem triangle ABC ~ triangle GEC because of congruent angles.
What is the slope of the line y = 3?
Answer:
0, it doesn't have a slope it is just a straight line
Step-by-step explanation:
Steve and his friends measured a snow pile; it was 7 feet tall. The next day, the
snow pile was only 6.5 feet tall. What was the percent of decrease in the snow
pile? Round your answer to the nearest tenth
The percentage decrease is 7.14%
First measurement = 7 feet
Second measurement = 6.5 feet
Difference in measurement = 7 feet - 6.5 feet = 0.5 feet
Percentage decrease = Difference in measurement/ First measurement × 100
= (0.5/7.0) × 100
= 7.14%
The percentage decrease is 7.14%
Read related link on:
https://brainly.com/question/24465194
A piece of wire 6 cm long weighs 30 grams. What is the weight of an 8 m length of the same wire?
A) 400 grams
B) 425 grams
C) 640 grams
D) 4000 grams
Answer:
4000 gm
Step-by-step explanation:
We can use ratios to solve
Change 8 m to cm
8m * 100cm/1m = 800 cm
6 cm 800 cm
------------- = ------------
30 grams x gm
Using cross products
6 * x = 800 * 30
6x = 24000
Divide by 6
6x/6 = 24000/6
x = 4000 gm
Given the parent function f(x)=x2, what is the new equation if the function is translated 4 units to the right and 3 units down
Answer:
f(x-4)-3
Step-by-step explanation:
- inside brackets moves right, + moves left
+ outside brackets moves up, - moves down