[tex]\large\underline{\sf{Solution-}}[/tex]
Let assume that,
[tex]\rm \longmapsto\:A \: = \:\{x\} \: [/tex]
and
[tex]\rm \longmapsto\:B \: = \:\{y\} \: [/tex]
[tex]\rm\implies \:A \: \cap \: B = \phi [/tex]
and
[tex]\rm \longmapsto\:A\cup B = \{x, \: y\}[/tex]
We know,
Power set of a set A is defined as set of subsets of A.
So,
[tex]\rm \longmapsto\:P(A) = \{ \phi ,\: x\}[/tex]
and
[tex]\rm \longmapsto\:P(B) = \{ \phi ,\: y\}[/tex]
and
[tex]\rm\implies \:P(A \: \cap \: B) =\{ \phi \}[/tex]
and
[tex]\rm \longmapsto\:P(A\cup B) = \{\phi ,x,y,xy\}[/tex]
Now, Consider
[tex]\rm \longmapsto\:P(A)\cup P(B) = \{\phi ,x,y\}[/tex]
and
[tex]\rm \longmapsto\:P(A\cup B) = \{\phi ,x,y,xy\}[/tex]
[tex]\rm\implies \:\boxed{\tt{ \: P(A)\cup P(B) \: \ne \: P(A\cup B) \: }} \\ [/tex]
Now, Consider
[tex]\rm \longmapsto\:P(A\cap B) = \{\phi \}[/tex]
and
[tex]\rm \longmapsto\:P(A) \: \cap \: P( B) = \{\phi \}[/tex]
[tex]\rm\implies \:\boxed{\tt{ \: P(A)\cap P(B) \: = \: P(A\cap B) \: }} \\ [/tex]
What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = 5x -1
............
[tex]\frac{4}{\sqrt{5}-1 } -\frac{4}{\sqrt{5}+1\\ }[/tex]
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[tex]join \: bunny \: squad[/tex]
[tex]join \: bunny \: squad[/tex]
btw,, the formula you insert is incorrect:)
Answer:
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salamat sa ponts
in a class of 80 students 3/4 study biology and 3/5 study physics. if each student studies at least one of the subjects. (1) Draw a venn diagram to represent this information. (2) how many students study both subjects (3) find the fraction of the class that study Biology but not physics
According to the calculations made, 28 students study both subjects, and 1/2 of the class studies biology but not physics.
Given that in a class of 80 students 3/4 study biology and 3/5 study physics, to determine, if each student studies at least one of the subjects, how many students study both subjects, and find the fraction of the class that study Biology but not physics, the following calculation must be performed:
Biology: 80 x 3/4 = X 80 x 0.75 = X 60 = X Physics: 80 x 3/5 = X 80 x 0.60 = X 48 = X 60 + 48 - 80 = X 108 - 80 = X 28 = XTherefore, 28 students study both subjects.
68 - 28 = 40 80 = 1 40 = 1/2Therefore, 1/2 of the class studies biology but not physics.
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Option is
AA
SAS
Not enough information to prove similarity
SSS
Answer:
SAS
Step-by-step explanation:
The included angle is similar and they have corresponding sides.
7. a Police can estimate the speed of a vehicle before the brakes are applied using the formula
0.75d =
s°
30.25
where s is the speed in miles per
hour and d is the length of the vehicle's skid
marks. What was the approximate speed of a vehicle that left skid marks measuring 140 feet?
O about 10 miles per hour
O about 75 miles per hour
about 15 miles per hour
about 56 miles per
hour
Answer:
A
Step-by-step explanation:
Plz help ASAP will mark branliest
Step-by-step explanation:
Consider that:
[tex](f/g)(x) = f(x) / g(x)\\(f - g)(x) = f(x) - g(x)[/tex]Fill in the blanks
Row 1 ⇒ 2 and -5
(-1)*(-2) = 2Solve using two values:
f(x) - g(x) = - 10 and f(x)/g(x) = - 1 ⇒ f(x) = -g(x), substitute into first-2g(x) = - 10 ⇒ g(x) = 5 and f(x) = - 5Row 2 ⇒ -5 and 5
- 2 - 3 = - 5g(x) = 5 (see above solution)Row 3 ⇒ - 6 and 4
-10 - (-4) = - 62 - (-2) = 4Row 4 ⇒ -6/7 and 2/5
-6/7-2/-5 = 2/5Please solve this for me thxs
Answer:
3w + x/z + y
That is simplest form
Evaluate:
[tex] log_{\sqrt{3} }(729) \\ [/tex]
Give answer please..
[tex] \large\underline{\sf{Solution-}}[/tex]
Given Logarithmic expression is
[tex]\rm \longmapsto\: log_{ \sqrt{3} }(729) [/tex]
Let first factorize 729
[tex]\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{3}}}&{\underline{\sf{\:\:729 \:\:}}}\\ {\underline{\sf{3}}}& \underline{\sf{\:\:243 \:\:}} \\\underline{\sf{3}}&\underline{\sf{\:\:81\:\:}} \\ {\underline{\sf{3}}}& \underline{\sf{\:\:27 \:\:}} \\ {\underline{\sf{3}}}& \underline{\sf{\:\:9\:\:}}\\\underline{\sf{}}&{\sf{\:\:3 \:\:}} \end{array}\end{gathered}\end{gathered}\end{gathered}[/tex]
So,
[tex] \purple{\rm \longmapsto\:729 = 3 \times 3 \times 3 \times 3 \times 3 \times 3}[/tex]
[tex] \purple{\rm \longmapsto\:729 = {3}^{6} }[/tex]
[tex] \purple{\rm \longmapsto\:729 = {( [{ \sqrt{3} ]}^{2}) }^{6} }[/tex]
[tex] \purple{\rm \longmapsto\:729 = {( \sqrt{3} )}^{12}}[/tex]
So,
[tex]\rm \longmapsto\: log_{ \sqrt{3} }(729) [/tex]
can be rewritten as
[tex]\rm \: = \: log_{ \sqrt{3} }( {( \sqrt{3}) }^{12} ) [/tex]
We know,
[tex] \purple{\rm \longmapsto\:\boxed{\tt{ log_{a}( {a}^{x} ) \: = \: x \: }}}[/tex]
So, using this identity, we get
[tex]\rm \: = \: 12[/tex]
Hence,
[tex] \green{\rm\implies \:\boxed{\tt{ \: \: log_{ \sqrt{3} }(729) \: = \: 12 \: \: }}}[/tex]
Determine how many centimeters are in 1 yard if there are 2.54 centimeter per inch and 3 feet in a yard.
Answer:
91.44 cm
Step-by-step explanation:
2.54 x 12 = 30.48 cm per foot
30.48 x 3 = 91.44cm
a meterologist said that it rained during 20 % of the past 60 days. on how many days did it not rain
Answer:
48 days
Step-by-step explanation:
20% of 60 is 12
60-12=48
Answer:
48
Step-by-step explanation:
20% of 60 is 12, 60-12=48
Hope that helps
please solve fast it's urgent
Answer:
∅=30°
Step-by-step explanation:
[tex]sin[/tex]∅[tex]=\frac{1}{\sqrt{3} }sin60^{0}[/tex]
sin∅=[tex]\frac{\frac{\sqrt{3} }{2} }{\sqrt{3} } =\frac{\sqrt{3} }{2\sqrt{3} }=\frac{1}{2}[/tex]
∅=[tex]sin^{-1}(\frac{1}{2})= 30^{0}[/tex]
I hope this help you
The ratio of men to women working for a company is 2/3. If ther are 105 employees total, how many women workfor the company
Answer: There are 70 women and 35 men.
Step-by-step explanation:
105 divided by 3 is 35 and 105 - 35 is 80.
What is the midpoint of the segment that joins the complex numbers 7 + 3i and -5 – 8i?
A) 16+11/2i
B) (1,5/2)
C) 1- 5/2i
D) (-6, 11/2)
Answer:
C)
Step-by-step explanation:
The midpoint is the average of the two points.
Thus,
Midpoint = [ ( 7 + 3i) + (-5 - 8i) ] / 2 = ( (7-5) + i(3-8) ) / 2 = (2 - 5i)/2 = 1 - 2.5i
A truck driver always drives 3 miles per hour. She drives for 5 hours each day. How many miles will she drive in 3 days?
Answer:
45 miles in 3 days
Step-by-step explanation:
if she drives 3 miles an hour for 5 hours a day that would be 3x5=15
15x3 days=45 miles in 3 days
Simplify (3x^2y^3)^3
Answer:
27 x^( 6 )y^( 9)
Step-by-step explanation:
Please help me this question
The price of a notebook has risen to $3.45 today. Yesterdays price was $3.20. find the percentage increase, round your answer to the nearest tenth of a percent.
Answer:
7.8%
Step-by-step explanation:
Yesterday’s price =$3.20
Today’s price =$3.45
Increase =today’s price - yesterday’s price
That’s $3.45 - $3.20
= $0.25
Percentage increase = increment /yesterday’s price x 100%
That’s $0.25/$3.20 x 100%
0.0781 x 100%
7.81
7.8%
Find the value of x so that | || m. State the converse used
let p=0.579 compute Q
let q=0.871 compute p.
In probabilities, variables p and q are often used as complements of another.
The value of q is 0.421The value of p is 0.129The relationship between variables p and q is:
[tex]\mathbf{p+ q = 1}[/tex]
So, we have:
(a) p = 0.579
Substitute 0.579 for p in [tex]\mathbf{p+ q = 1}[/tex]
[tex]\mathbf{0.579 + q = 1}[/tex]
Make q the subject
[tex]\mathbf{q = 1 - 0.579}[/tex]
[tex]\mathbf{q = 0.421}[/tex]
The value of q is 0.421
(b) q = 0.871
Substitute 0.871 for q in [tex]\mathbf{p+ q = 1}[/tex]
[tex]\mathbf{p + 0.871 = 1}[/tex]
Make p the subject
[tex]\mathbf{p = 1 - 0.871}[/tex]
[tex]\mathbf{p = 0.129}[/tex]
The value of p is 0.129
Read more about probability complements at:
https://brainly.com/question/10198002
HELP HELP HELP HELP HELP HELP
long explanation long please
__________
[tex] \: [/tex]
[tex] \frac{x + 2}{x - 1} = ...[/tex]
[tex] \longmapsto \frac{ \cancel{x} + 2}{ \cancel{x} - 1} [/tex]
[tex] \longmapsto \frac{2}{ - 1} [/tex]
[tex] \longmapsto \boxed{ \bold{ \red{ - 2}}}[/tex]
WHAT IS THE MEASURE OF ANGLE A
WHAT IS THE MEASURE OF ANGLE B
WHAT IS THE MEASURE OF ANGLE C
Answer:
∠A = 100
∠B = 50
∠C = 30
Step-by-step explanation:
Sum of all angles of triangle = 180
∠A + ∠B + ∠C = 180
2x +x + x - 20 = 180 {Combine like terms}
4x - 20 = 180
Add 20 to both sides
4x = 180 + 20
4x = 200
Divide both sides by 4
x = 200/4
x = 50
∠A = 2x = 2*50 = 100
∠B = x = 50
∠C = x - 20 = 50 - 20 = 30
The coefficient of x in the expansion of (x+3)(x - 1) is
Answer:
^2+2−3
Step-by-step explanation:
Answer: the coefficient of x in the expansion is 2
Step-by-step explanation:
(x+3)(x-1)= (x)(x) + (x)(-1) + (3)(x) + (3)(-1)
which equals x^2 -x +3x -3 which is x^2 +2x -3
the leading coefficient of x^2 1. and the coefficient of x is 2.
(1/2a - 2/3b) ( 3/5a + 2/3b) multiply the following
Answer:
Step-by-step explanation:
[tex](\dfrac{1}{2}a-\dfrac{2}{3}b)(\dfrac{3}{5}a+\dfrac{2}{3}b)=\dfrac{1}{2}a*(\dfrac{3}{5}a+\dfrac{2}{3}b) - \dfrac{2}{3}b*(\dfrac{3}{5}a+\dfrac{2}{3}b) \\\\\\= \dfrac{1}{2}a*\dfrac{3}{5}a + (\dfrac{1}{2}a*\dfrac{2}{3}b) - \dfrac{2}{3}b*\dfrac{3}{5}a- \dfrac{2}{3}b*\dfrac{2}{3}b\\\\\\=\dfrac{3}{10}a^{2} + \dfrac{1}{3}ab - \dfrac{2}{5}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2} +\dfrac{1*5}{3*5}ab-\dfrac{2*3}{5*3}-\dfrac{4}{9}b^{2}\\\\\\[/tex]
[tex]=\dfrac{3}{10}a^{2}+\dfrac{5}{15}ab-\dfrac{6}{15}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2}-\dfrac{1}{15}-\dfrac{4}{9}b^{2}[/tex]
LOL LAST 1 IM SORRY AHHHH !!!!
Answer:
102
Step-by-step explanation:
Answer:
Fairly easy just 180-102-30= 48 degrees So since you know the third angle within that triangle just take 180 - 48 which gives you 132 degrees. 132 is the angle FGH.
Step-by-step explanation:
180- 102 - 30= 48 degrees
180 - 48 = 132 degrees
If 5x+ 3 = 10x– 17, what is the value of x?
A. 1
B. 2
C. 3
D. 4
E. 5
Answer:
D
Step-by-step explanation:
First, we will move the variable to the left-hand side and change its sign: 5x + 3 - 10x = -17
Next, we need to collect like terms: -5x = -20
Finally, we will divide both sides of the equation by -5 to give us the answer of x = 4.
Slope -3/4 and passes through the point (-3, -8). What is the point slope form
Point-slope form is: y - y1 = m ( x - x1 )
You plug in your slope for m and the x and y values from that point for x1 and y1.
y - (-8) = -3/4 ( x - (-3) )
Be sure to clean up the "minus a negative" to get
y + 8 = -3/4 ( x + 3 )
4x - 1 < 7 i don’t know what to do
Find the equation in slope-intercept form that describes line.
A line through (-1, 1) and (2,3)
Answer:
y = 2/3 x + 5/3.
Step-by-step explanation:
Slope m = (3-1)/(2-(-1)) = 2/3.
y - y1 = m(x - x1)
y - 1 = 2/3(x - (-1))
y - 1 = 2/3(x + 1)
y - 1 = 2/3 x+ 2/3
y = 2/3 x + 5/3.
6.
What is the midpoint of the line segment whose
endpoints (7,-4) and (-3, -2)?
are
Answer: (2, -3)
Step-by-step explanation:
To find the the answer, you will need to use the midpoint formula, which is as following:
(x₁+x₂/2, y₁+y₂/2)
Since we have two coordinates, let's substitute them into the equation.
(7 + (-3 )/ 2, (-4) + (-2)/2)
We should first add 7 and -3 together, as well as -4 and -2.
(4/2, -6/2)
We then divide 4 and -6 by 2. This would give us our midpoint coordinate.
(2, -3)
Mike´s fitness center charges $30 per month for a membership. All-Day fitness club charges $22 per month plus an $80 initiation fee for a membership. After how many months will the total amount paid to the two fitness clubs be the same?
Answer:
10 months
Step-by-step explanation:
30x=22x+80
8x=80
x=10