Answer:
(-162)/7 or -23 1/7 as mixed fraction
Step-by-step explanation:
Simplify the following:
(-36)/14 (-18) (-3)/6
Hint: | Express (-36)/14 (-18) (-3)/6 as a single fraction.
(-36)/14 (-18) (-3)/6 = (-36 (-18) (-3))/(14×6):
(-36 (-18) (-3))/(14×6)
Hint: | In (-36 (-18) (-3))/(14×6), divide -18 in the numerator by 6 in the denominator.
(-18)/6 = (6 (-3))/6 = -3:
(-36-3 (-3))/14
Hint: | In (-36 (-3) (-3))/14, the numbers -36 in the numerator and 14 in the denominator have gcd greater than one.
The gcd of -36 and 14 is 2, so (-36 (-3) (-3))/14 = ((2 (-18)) (-3) (-3))/(2×7) = 2/2×(-18 (-3) (-3))/7 = (-18 (-3) (-3))/7:
(-18 (-3) (-3))/7
Hint: | Multiply -18 and -3 together.
-18 (-3) = 54:
(54 (-3))/7
Hint: | Multiply 54 and -3 together.
54 (-3) = -162:
Answer: (-162)/7
SCIENCE NOT MATHEMATICS SORRY!!
Sucrose is an organic compound made by plants for quick energy. Sucrose is classified as a(n)
Domain
Kingdom
Phylum
Class
Order
Family
Genus
Species
Please help, thank you :) .
Unfortunately sucrose isn't classified as any of the above because it is not alive. Sucrose can however be classified as a disaccharide because it contains two monosaccharides (glucose and fructose). If you want to be more broad you can classify it as a carbohydrate.
of the 250 passengers onthe plane 155 checked there bags rather than carry on what percent of passengers checked their bag?
Answer:
62
Step-by-step explanation:
62
91% of what is 108?
it's telling me I need to write more here to get an answer, but I don't have anything else to write, I literally just need the answer.
Error Analysis: George was trying to rearrange the formula below to slope-intercept form, y = mx + b. by
solving for y. Identify her mistake and correct the error.
y + 20 = 2(x +20)
y + 20 = -x +20
PLEASE HELP!
Answer:
George's mistake would be:
Instead of 2x + 40, she has made - x + 20.
Step-by-step explanation:
Slope - Intercept Form = y = mx + b
y + 20 = 2(x +20)
y + 20 = 2x + 40
- 20 - 20
----------------------
y = 2x + 20
(Should have been the answer)
BUT,
George's Solving:
y + 20 = 2(x + 20)
y + 20 = -x + 20
George's Mistake would be her miscalculation during her 2nd step. Where instead of distributing 2 to (x + 20), she has changed it to -x + 20, when in reality, it should have been 2x + 40.
please solve this question!!
Answer: see proof below
Step-by-step explanation:
Use the following Half-Angle Identities:
sin² A = (1 - cos 2A)/2
cos² A = (1 + cos 2A)/2
Proof LHS → RHS:
LHS: sin⁴ A
Expand: sin² A · sin² A
[tex]\text{Half-Angle:}\qquad \qquad \bigg(\dfrac{1-\cos (2A)}{2}\bigg)\bigg(\dfrac{1-\cos (2A)}{2}\bigg)[/tex]
[tex]\text{Distribute:}\qquad \qquad \dfrac{1-2\cos (2A)+\cos^2 (2A)}{4}[/tex]
[tex]\text{Half-Angle:}\qquad \qquad \dfrac{1-2\cos (2A)+\frac{1+\cos (2\cdot 2A)}{2}}{4}[/tex]
[tex]\text{Simplify:}\qquad \qquad \dfrac{\frac{2}{2}[1-2\cos (2A)]+\frac{1+\cos (4A)}{2}}{4}[/tex]
[tex]=\dfrac{2-4\cos (2A) + 1 + \cos (4A)}{8}[/tex]
[tex]=\dfrac{1}{8}\bigg(3-4\cos (2A)+\cos (4A)\bigg)[/tex]
LHS = RHS [tex]\checkmark[/tex]
Let's start from LHS...
LHS = sin^4A = sin^2A * sin^2A
We can apply a few formulas here;
cos 2A = 1 - 2sin^2A
sin^2A = (1 - cos2A) / 2
cos2A = 2cos^2A - 1
cos^2A = (1 + cos2A) / 2
According to the second formula, sin^2A * sin^2A = (1 - cos2A) / 2 * (1 - cos2A) / 2.
(1 - cos2A) / 2 * (1 - cos2A) / 2 = 1/4(1 - cos2A)^2
We can simplify "(1 - cos2A)^2." Remember that (a - b)^2 = a^2 - 2ab + b^2. Similarly (1 - cos2A)^2 = (1 - 2cos 2A + cos^2 2A);
1/4(1 - cos2A)^2 = 1/4(1 - 2cos 2A + cos^2 2A)
According to the fourth formula, cos^2 2A = (1 + cos4A) / 2;
1/4(1 - 2cos 2A + cos^2 2A) = 1/4(1 - 2cos 2A + (1 + cos4A) / 2)
= (taking LCM) 1/4( (2 - 4cos 2A + 1 + cos4A)/2 )
= (simplified) 1/8(3 - 4cos 2A + cos 4A)
if f(x) = 1/2x + 5, what is f(8)
Answer:
9
Step-by-step explanation:
f(8)= 1/2(8) + 5
f(x)= 4 +5
f(x)= 9
Help!! I don't get this
Answer:
55
Step-by-step explanation:
No matter what happens in between, the average rate of change between 2 points of any interval is the slope of the 2 points of the interval.
The 2 points are (-8, -50) and (-6, 60), and we need to find the slope (which, as a reminder, is change in x over change in y):
(60-(-50))/(-6-(-8)) = (110)/(2)=55
Therefore, the average rate of change between the interval -8≤x≤-6 is 55.
could someone help me out with this problem I've been trying to figure it out for the past five minutes
Answer:
A. c. F.
Step-by-step explanation:
Express the function graphed on the axes below as a piecewise function.
Answer:
y = 2/3x +6 for x< -3
y = 2/3x +1 for x> 3
Step-by-step explanation:
The graph is a line for x < -3
( - 6,2) and ( -3,4)
The slope is m= ( y2-y1)/(x2-x1)
m = ( 4-2)/(-3 - -6) = 2/ ( -3+6) = 2/3
The slope is 2/3
Using point slope form
y-y1 = m(x-x1) and the point ( -6,2)
y -2 = 2/3(x - -6)
y -2 = 2/3(x +6)
y-2 = 2/3 x +4
y = 2/3x +6 x< -3
The graph is a line for x > 3
(3,3) and ( 6,5)
The slope is m= ( y2-y1)/(x2-x1)
m = ( 5-3)/(6-3) = 2/ (3) = 2/3
The slope is 2/3
Using point slope form
y-y1 = m(x-x1) and the point (6,5)
y -5 = 2/3(x - 6)
y-5 = 2/3 x -4
y = 2/3x +1 x> 3
Convert 11/3 to a mixed number
Answer:
3 2/3
Step-by-step explanation:
divide the 3 by 11 and your product is the whole number, with the remainder being the numerator.
11 / 3 = 9.2
9/3=3
3 2/3
-2x - 3(6x - 11) = -7
Answer:
x=40/21
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−3x−3(6x−11)=−7
−3x+(−3)(6x)+(−3)(−11)=−7(Distribute)
−3x+−18x+33=−7
(−3x+−18x)+(33)=−7(Combine Like Terms)
−21x+33=−7
−21x+33=−7
Step 2: Subtract 33 from both sides.
−21x+33−33=−7−33
−21x=−40
Step 3: Divide both sides by -21.
−21x
−21
=
−40
−21
calculate the following fractions and leave the answer correct to two decimal places. 3 2/5 - 2 2/3
Answer:
0.73
Step-by-step explanation:
3 2/5 = 17/5, 2 2/3 = 8/3
17/5 - 8/3
3/3 x 17/5 = 51/15
5/5 x 8/3 = 40/15
51/15 - 40/15 = 11/15
11/15= 0.73
match each pair with their relationship Angles 1 and 3 Angles 4 and 8 Angles 4 and 6 Angles 3 and 5 Angles 7 and 8 Angles 1 and 7
ANSWER:
8,7
5,6
4,3
1,2
This is a angle of pair
Write the equation of line perpendicular to y = 4 that passes through (5, 2).
Answer:
x= -5
Step-by-step explanation:
just graphed it . y = 4 is a flat horizontal line.
x=5 is a vertical line that passes through (5,2)
Lorea is designing the top of a quilt which measures 2,160 square inches. Triangles will cover 432 square inches of the quilt, and squares will cover 180 square inches. The rest of the quilt will be parallelograms with a base of 2 inches and a height of 1.5 inches. How many parallelograms should she cut to complete the quilt?
516
528
617
720
Answer: Its 516. Hope this helps!
Step-by-step explanation:
Answer:
516
Step-by-step explanation:
Graph f(x) = -0.5.0 +3.
Answer:
hope this helps
Step-by-step explanation:
i need some help please
Answer:
X=2
Step-by-step explanation:
Make an equation: the scales are equal, so
x + x + 3 = 7
2x + 3 = 7
2x = 4
x = 2
is -4 < -5 1/2 a true statement?
Answer:
It is not true
Step-by-step explanation:
-4 is closer to 0 than -5 1/2
The closer the negative number to 0 the bigger it is
LINE 1: (-9, 3), (-5, 7) LINE 2: (-11, 6), (-7, 2)
Parallel, perpendicular or neither ?
Answer:
neither
Step-by-step explanation:
they dont intersect with each other
Please:) Ken bought some lolipops. He gave 1/2 of them to chin, 3 to Harris, and kept 6 for himself.how many lollipops did buy?
Answer:
18
Step-by-step explanation:
6+3=9
9*2=18
sorry if not right
13. A discount retail store gives a 8% discount
to senior citizens. If a customer who is a senior
citizen wants to purchase an item that costs
$34.50, what is the final cost after the discount
is applied?
Use the Distributive Property to rewrite each expression. Then evaluate.
7(6-4)
Answer:
14
Step-by-step explanation:
PEMDAS:
P: Parentheses
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction
Step 1:
7 ( 6 - 4 ) Equation
Step 2:
7 ( 2 ) Subtract
Answer:
14
Hope This Helps :)
HELP ASAPPPPPPPPP ILL MARK BRAINLIEST
Answer:
the answer would be C
Step-by-step explanation:
the opposite of exponents is square root it
3 times 10^4 - 5 times 10^2 =? In scientific notation
Slope of 4 and a y-intercept of (0, 6)
Which are alternate exterior angles? HELPPP PLZZZ!
Answer:
b. angles 1 and 8
Step-by-step explanation:
alternate exterior angles theorm
a) Work out (5 x 10°) (9 x 107)
Give your answer in standard form.
Step-by-step explanation:
(5×10)(9×107)
=48150
=4.82 ×10^4?
I'm not sure^^
If she has enough or not
Answer:
enough is the correct worf
Kamal wrote the augmented matrix below to represent a system of equations
1 0 1-1
1 3 -1-9
3 2 0- 2
Which matrix results from the operation -3R2 R2?
Consider the operation is [tex]R_2\to -3R_2[/tex].
Given:
The augmented matrix below represents a system of equations.
[tex]\left[\left.\begin{matrix}1&0&1\\1&3&-1\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-9\\-2\end{matrix}\right][/tex]
To find:
Matrix results from the operation [tex]R_2\to -3R_2[/tex].
Step-by-step explanation:
We have,
[tex]\left[\left.\begin{matrix}1&0&1\\1&3&-1\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-9\\-2\end{matrix}\right][/tex]
After applying [tex]R_2\to -3R_2[/tex], we get
[tex]\left[\left.\begin{matrix}1&0&1\\-3(1)&-3(3)&-3(-1)\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-3(-9)\\-2\end{matrix}\right][/tex]
[tex]\left[\left.\begin{matrix}1&0&1\\-3&-9&3\\3&2&0\end{matrix}\right|\begin{matrix}-1\\27\\-2\end{matrix}\right][/tex]
Therefore, the correct option is A.
Which algebraic equation represents the following scenario?
Ms. Cosby had 6 students in her room, and then an addition one-fifth of the 7th grade students. There here 25 students in her room in total.
A.
6.2x = 25
B.
6 + 0.2x = 25
C.
6 + 1.5x = 25
D.
(6 + x)0.2 =25
Answer:
C.
Step-by-step explanation: