Answer: D. m∠x+m∠y=180°
Step-by-step explanation:
m∠x and m∠y creates a linear pair (two angles formed one line)
a line is 180°, this means:
m∠x+m∠y=linear pair
m∠x+m∠y=180°
Hope this helps!! :)
Please let me know if you have any question
The three tools the Federal Reserve uses to enact monetary policy are
Answer:
A,C, & D
Step-by-step explanation:
Answer:
Step-by-step explanation:
B,A, and C
what is the decimal for -1 1/2
Answer:
[tex]\large \boxed{\mathrm{-1.5}}[/tex]
Step-by-step explanation:
-1 1/2
1 over 2 is one half or 0.5
-1+0.5 = -1.5
Answer:
[tex] \boxed{\red{\bold{- 1.5}}}[/tex]
Step-by-step explanation:
[tex] - 1 \frac{1}{2} = - \frac{3}{2} \\ - \frac{ 3}{2} \frac{ \times 5}{ \times 5} \\ = - \frac{ 15}{10} = - 1.5[/tex]
hope this helps you.
will give the brainliest!
follow ~Hi1315~
How to prove it equal 8?
Answer:
The answer equals -8
Step-by-step explanation:
Order of Operations: BPEMDAS
FOIL - First, Outside, Inside, Last
Step 1: Write out expression
[tex](\sqrt{4-3i} -\sqrt{4+3i})^6[/tex]
Step 2: Expand
[tex](\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})[/tex]
Step 3: FOIL first 2
[tex](\sqrt{4-3i} -\sqrt{4+3i})^2 = -2[/tex]
Step 4: Replace square roots with -2
-2(-2)(-2) = (-2)³ = 8
[tex]2 \times 2[/tex]
How to solve this equation?
f(x)=5-x²
Answer:
[tex]x=\sqrt5\text{ and } x=-\sqrt5[/tex]
Step-by-step explanation:
To solve for the 0s of a function, set the function to 0 and solve for the x. Therefore:
[tex]f(x)=5-x^2[/tex]
Set f(x) to 0:
[tex]0=5-x^2[/tex]
Add x^2 to both sides:
[tex]x^2=5[/tex]
Take the square root of both sides:
[tex]x=\pm\sqrt{5}[/tex]
So, our solutions are:
[tex]x=\sqrt5\text{ and } x=-\sqrt5[/tex]
5(x^3)^2(-2x^4)^-3
Simplify and write with positive exponents
Answer:
Step-by-step explanation:
solve this equation 7 + x = - 13
Answer:
x = -20
Step-by-step explanation:
7 + x = -13
(subtract 7 from both sides)
x = -20
Answer:
x=-20................
Stanley drives her scooter 6 kilometres South. He stops for lunch and then drives 3 kilometres east. What distance did he cover? What was his displacement?
Answer:
a) What distance did he cover?
9 km
b) What was his displacement?
6.71kmSE
Step-by-step explanation:
a) What distance did he cover?
Total distance covered = 6km south + 3km east = 9km
b) What was his displacement?
Displacement =√( 6km)² + (3km)²
=√ 36 + 9
= √45
= 6.7082039325kmSE(SouthEast)
Approximately = 6.71kmSE
solve the equations for all values of x by completing the square x^2+62=-16x
Answer:
[tex]x = \sqrt{2} - 8\\x = -\sqrt{2} - 8[/tex]
Step-by-step explanation:
To complete the square, we first have to get our equation into [tex]ax^2 + bx = c[/tex] form.
First we add 16x to both sides:
[tex]x^2 + 16x + 62 = 0[/tex]
And now we subtract 62 from both sides.
[tex]x^2 + 16x = -62[/tex]
We now have to add [tex](\frac{b}{2})^2[/tex] to both sides of the equation. b is 16, so this value becomes [tex](16\div2)^2 = 8^2 = 64[/tex].
[tex]x^2 + 16x + 64 = -62+64[/tex]
We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because [tex]8\cdot8=64[/tex] and [tex]8+8=16[/tex].
[tex](x+8)^2 = -62 + 64[/tex]
We can now take the square root of both sides.
[tex]x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}[/tex]
We can now isolate x on one side by subtracting 8 from both sides.
[tex]x = \pm\sqrt{2} - 8[/tex]
So our solutions are
[tex]x = \sqrt{2} - 8\\x = -\sqrt{2} - 8[/tex]
Hope this helped!
In a class full of men and women, 2/9 of the class are women. What is the ratio of men to
women in its simplest form?
Answer:
2:7
Step-by-step explanation:
if 2/9 of the class are women then 7/9 of the class are men.
[tex]\frac{2}{9}:\frac{7}{9}\\ 2*9:7*9\\18:63\\\frac{18}{9}:\frac{63}{9}\\2:9[/tex]
Find an
expression which represents the sum of (-3x – 4y) and (x + 3y) in
simplest terms.
Answer:
-2x-y
Step-by-step explanation:
The expression that represents the sum of (-3x - 4y) and (x + 3y) in simplest terms is -2x - y by combining like terms.
To simplify the expression, follow these steps:
Distribute the negative sign: Multiply the terms inside the parentheses by -1 to distribute the negative sign.
[tex]-3x - 4y + x + 3y[/tex]
Group the like terms: Combine the terms with the same variable.
In this case, -3x and x, as well as -4y and 3y.
[tex](-3x + x) + (-4y + 3y)[/tex]
Combine the x terms: -3x + x equals -2x.
[tex]-2x + (-4y + 3y)[/tex]
Combine the y terms: [tex]-4y + 3y[/tex] equals -y.
[tex]-2x - y[/tex]
Therefore, the simplest form of the expression is [tex]-2x - y[/tex].
In summary, the expression [tex](-3x - 4y) + (x + 3y)[/tex] simplifies to [tex]-2x - y[/tex].
Learn more about like terms here:
https://brainly.com/question/16601020
#SPJ4
Consider the expression (Ex+6) – 3x
What is the value of the expression evaluated for x =
12?
0-26
0-25
12
46
Answer:
-26
Step-by-step explanation:
[tex]\frac{5}{6}( \frac{1}{2}x+5) - 3x[/tex]
= [tex]\frac{5}{6}( \frac{1}{2}*12+5) - (3*12)\\[/tex]
= -26
Find the area of the triangle with A=60º b=11ft and c=8ft
Answer:
38.105
Step-by-step explanation:
The area of this triangle = 0.5 * b * c * sin(A)
= 0.5 * 11 * 8 *sin(60) sin(60) = [tex]\sqrt{3} /2[/tex] = .866025...
= 0.5 * 11 * 8 * .866025
= 38.105
Answer:
23.42
Step-by-step explanation:
because b was 11 making it the base
and c was 8 making it the side
you have to convert the 60degrees into ft
Helene's marching band needs more to travel to a competition. Band members have raised $520. They need to raise a total of $1,630. Enter and solve an equation to find how much money they need. Show that your answer is reasonable. Let m represent your variable.
Answer: $1,110 is what they need
Step-by-step explanation:
520+ m= 1630
1630- 520= 1110
m= 1110
An emu that measures 22 inches long in height is 14 inches less than two times the height of a stuffed canary. What is the height of the stuffed canary?
4 inches
Step-by-step explanation:e - 14 = 2c
22 - 14 = 2c
2c = 8
c = 8 : 2
c = 4 in
Answer:
[tex]\Huge \boxed{\mathrm{18 \ inches}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
Let the height of the emu be [tex]e[/tex].
Let the height of the stuffed canary be [tex]s[/tex].
[tex]e=22[/tex]
[tex]e=2s-14[/tex]
Substitution method.
[tex]22=2s-14[/tex]
Solving for the height of the stuffed canary.
Adding 14 to both sides.
[tex]36=2s[/tex]
Dividing both sides by 2.
[tex]18=s[/tex]
The height of the stuffed canary is 18 inches long.
[tex]\rule[225]{225}{2}[/tex]
somebody PLEASE help me on its URGENT DO NOT waste my answers PLEASEE help me it’s GEOMETRY
Answer: The SSS postulate would be those three letters.
Step-by-step explanation:
Here's how I got my answer:
Since you know that two pairs of sides are congruent and that the two triangles lie on the same side, then you can conclude that all three pairs of sides are congruent. Therefore, use the SSS postulate (Side-Side-Side) as the proof that the two triangles are congruent.
What is the perimeter of a square with a side length 6x-5
Answer:
24x - 20
Step-by-step explanation:
Side = 6x - 5
Perimeter of square = 4 * side
= 4 * (6x - 5)
Use distributive property
= 4*6x - 4*5
= 24x - 20
Answer:
24×-20
Step-by-step explanation:
formula=4L
4(6×-5)
24×-20
how did orgo change the flat tire on a 747
Depends on your level of skills for one. Let's say you can replace a tire on a car within 30 min to 1 hr from the time you open the trunk to get the replacement.
What is the diameter of a tire in inches given the following data: P265/90R22 (25.4mm/ inch) a) 499 inches b) none of the other choices c) 31.39 d) 40.78 inches
Answer:
d) 40.78 inches
Step-by-step explanation:
See attached for details
Evaluate 2 sin 60° + tan 45° + cos²60°
Answer:
1.25+√3 or 2.9821 to the nearest ten thousandth.
Step-by-step explanation:
sin 60 = √3/2, tan 45 = 1 and cos^2 60 = (1/2)^2 = 1/4
So we get 2 *√3/2 + 1 + 1/4
= √3 + 1.25
Answer:
[tex] \boxed{\sf 2sin \: 60 ^{ \circ} + tan \: 45^{ \circ} + {cos}^{2} \ 60^{\circ} = 2.98} [/tex]
Step-by-step explanation:
We know:
[tex] \sf sin \: 60 ^{ \circ} = \frac{ \sqrt{3} }{2} \\ \\ \sf tan \: 45 ^{ \circ} = 1 \\ \\ \sf cos \: 60 ^{ \circ} = \frac{1}{2} [/tex]
So,
[tex] \sf \implies 2sin \: 60 ^{ \circ} + tan \: 45^{ \circ} + {cos}^{2} \: 60^{ \circ} \\ \\ \sf \implies \cancel{2} \times \frac{ \sqrt{3} }{ \cancel{2}} + 1 + {( \frac{1}{2}) }^{2} \\ \\ \sf \implies \sqrt{3} + 1 + {( \frac{1}{2}) }^{2} \\ \\ \sf \implies \sqrt{3} + 1 + \frac{1}{4} \\ \\ \sf \implies \sqrt{3} + 1 + 0.25 \\ \\ \sf \implies 1.25 + \sqrt{3} \\ \\ \sf \implies 1.25 + 1.73 \\ \\ \sf \implies 2.98[/tex]
Classify the number -1/3.
Answer:
Step-by-step explanation:
This number is real, negative and rational.
MDM4U
11. Avery and Bradley work at a large electronics manufacturer that produces DVD players. The
defective rate on the assembly line has gone up to 12% and the manager wants to know the
probability that a skid of 50 DVD players will contain at least 3 defective units.
a) Help Avery use the binomial distribution P(x)=, C.pqrs to answer this question
Answer:
0.9487
Step-by-step explanation:
a) The probability of having a defective product = p = 12% = 0.12
The probability of not having a defective product = q = 1 - p = 1 - 0.12 = 0.88
The number of DVD players = n = 50
X is the number of defective products.
The probability that a skid of 50 DVD players will contain at least 3 defective units = P(X ≥ 3) = 1 - P(X ≤ 2)
P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)
Using binomial:
P(X = 0) = [tex]C(n,x)p^xq^{n-x}=C(50,0)p^0q^{50-0}=\frac{50!}{(50-0)!0!}*0.12^0*0.88^{50-0}=0.0017[/tex]
P(X = 1) = [tex]C(n,x)p^xq^{n-x}=C(50,1)p^1q^{50-1}=\frac{50!}{(50-1)!1!}*0.12^1*0.88^{50-1}=0.0114[/tex]
P(X = 2) = [tex]C(n,x)p^xq^{n-x}=C(50,2)p^2q^{50-2}=\frac{50!}{(50-2)!2!}*0.12^2*0.88^{50-2}=0.0382[/tex]
P(X ≤ 2)= 0.0017 + 0.0114 + 0.0382 = 0.0513
P(X ≥ 3) = 1 - P(X ≤ 2) = 1 - 0.0513 = 0.9487 = 94.87%
\sqrt{2a}\cdot \sqrt{14a^3}\cdot \sqrt{5a} sorry couldnt put in the actually signs
Answer:
5
Step-by-step explanation:
Answer:
2a^2\sqrt{35a}
Step-by-step explanation:
I hope this helped
Find the number by which 4732 should be divided to get perfect square.
Answer:
The required number is 7.
Dividing by this gives the perfect square 676.
Step-by-step explanation:
Finding the prime factors:
2) 4732
2) 2366
7) 1183
13)169
13
So 4372
= 2^2 * 7 * 13^2
= 4 *169 * 7
= 676 * 7
Now 676 is a perfect square so the answer is 7.
= 1283 * 4.
Answer is 1283.
PLEASE GUYS, I NEED HELP
Q1. What is the simplified form of 5(x-3y)+4(4y-x)-2(x-y)?
Q2. What is the solution set of 3-2[x+2]=6?
Q3. Which of the following is true about the row data given below 4, 7, 8, 4 and 1?
A. The median is 6
B. The mean is equal to the median
C. The mode is equal to the median
D. The range is 8
Q4. Which of the following is the slope of the line passing through the points A(1-a,b+1) and B(1+a,1-b)?
[tex] a. \: \frac{1 - b}{1 + a} \\ \\ b. \: \: \frac{b + 2}{a - 2} \\ \\ c. \: \: \: \frac{b}{a} \\ \\ d. \: \frac{ - b}{a } [/tex]
Answer:
see explanation
Step-by-step explanation:
(1)
5(x - 3y) + 4(4y - x) - 2(x - y) ← distribute all 3 parenthesis
= 5x - 15y + 16y - 4x - 2x + 2y ← collect like terms
= 3y - x
(2)
3 - 2(x + 2) = 6 ( subtract 3 from both sides )
- 2(x + 2) = 3 ( divide both sides by - 2 )
x + 2 = - 1.5 ( subtract 2 from both sides )
x = - 3.5
solution set = { - 3.5 }
(3)
The median is the middle value of the data in ascending order
1 4 4 7 8 ← in ascending order
↑ median = 4
The mean is the sum of the values divided by the count
mean = [tex]\frac{1+4+4+7+8}{5}[/tex] = [tex]\frac{24}{5}[/tex] = 4.8
The mode is the value which occurs most often
mode = 4
Thus the mode is equal to the median → C
(4)
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (A(1 - a, b + 1 ) and (x₂, y₂ ) = B(1 + a, 1 - b )
m = [tex]\frac{1-b-(b+1)}{1+a-(1-a)}[/tex]
= [tex]\frac{1-b-b-1}{1+a-1+a}[/tex]
= [tex]\frac{-2b}{2a}[/tex] ( cancel 2 on numerator/ denominator )
= [tex]\frac{-b}{a}[/tex] → d
Answer:
d
Step-by-step explanation:
What is the value of the expression – 57 - (-13 +33)?
-102
А
B
-3
с C
0 h
D
-73
Answer:
-77
Step-by-step explanation:
-57-(-13+33)
=-57-20
=-77
Help please I will mark brainliest!
Answer:
multiply 8 x 4=22
Step-by-step explanation:
Answer:
multiply 8 x 4=22
If B is the midpoint of AC, solve for x, and find the lengths of AB, BC, and AC.
Please show all work and not just the answers.
Answer:X is 3
Step-by-step explanation:
We add 2x -8 plus x +17 equals 0.then group the like terms together.2x + x=8-17.
ANSWER ****CORRECTLY**** FOR 20 POINTS + BRAINLIEST!
The double number line below shows the approximate number of kilograms in a certain number of pounds. Based on the number line, about how many kilograms are there in 17 pounds?
A. 8.50
B. 9.50
C. 10.00
D. 11.00
Answer:
a. 8.50
Step-by-step explanation:
each pound is 2 kilogram
If f(x) = 1/9x - 2, what is f^-1 (x)
Greetings from Brasil...
For reverse function, just invert the X by the Y and vice versa.
Note that F(X) = Y and F⁻¹(X) = Y⁻¹
F(X) = 1(9X - 2) ⇔ Y = 1(9X - 2)
replacing X with Y⁻¹
X = 1(9Y⁻¹ - 2)
Y⁻¹ = (2X + 1)/9X