Step-by-step explanation:
Let A be the set of people who speak English.
B be the set of people who speak French.
A - B be the set of people who speak English and not French.
B - A be the set of people who speak French and not English.
A ∩ B be the set of people who speak both French and English.
Given
n(A) = 72 n(B) = 43 n(A ∪ B) = 100
Now, n(A ∩ B) = n(A) + n(B) - n(A ∪ B)
= 72 + 43 - 100
= 72 + 43 - 100
= 115 - 100
= 15
Therefore, Number of persons who speak both French and English
= 15
n(A) = n(A - B) + n(A ∩ B)
⇒ n(A - B) = n(A) - n(A ∩ B)
= 72 - 15
= 57
and n(B - A) = n(B) - n(A ∩ B)
= 43 - 15 = 28
Therefore, Number of people speaking English only = 57
Number of people speaking French only = 28
Let A be the set of people who speak English.
B be the set of people who speak French.
A - B be the set of people who speak English and not French.
B - A be the set of people who speak French and not English.
A ∩ B be the set of people who speak both French and English.
Given
n(A) = 72 n(B) = 43 n(A ∪ B) = 100
Now, n(A ∩ B) = n(A) + n(B) - n(A ∪ B)
= 72 + 43 - 100
= 72 + 43 - 100
= 115 - 100
= 15
Therefore, Number of persons who speak both French and English
= 15
n(A) = n(A - B) + n(A ∩ B)
⇒ n(A - B) = n(A) - n(A ∩ B)
= 72 - 15
= 57
and n(B - A) = n(B) - n(A ∩ B)
= 43 - 15 = 28
im not sure if its right but- q-q
A 2.20 x 10-6 F capacitor is hooked
up to a 14.0 V power supply. How
much energy is stored in the
capacitor?
Answer:
[tex]E=2.15\times 10^{-4}\ J[/tex]
Step-by-step explanation:
Given that,
The capacitance of the capacitor, [tex]C=2.2\times 10^{-6}\ F[/tex]
Voltage of the power supply, V = 14 V
We need to find the energy stored in the capacitor.
The formula for the stored energy in the capacitor is given by :
[tex]E=\dfrac{1}{2}CV^2[/tex]
Put all the values,
[tex]E=\dfrac{1}{2}\times 2.2\times 10^{-6}\times 14^2\\\\E=2.15\times 10^{-4}\ J[/tex]
So, [tex]2.15\times 10^{-4}\ J[/tex] of energy is stored in the capacitor.
Which of the following would best be solved using completing the square?
5x^2+7x=12
X^2+4x-21=0
x^2=81
2x^3-12x^2+5x-30=0
HELPPPPP PLS!!!!!!!!
Answer:
1/2 chance
Step-by-step explanation:
there are 3 even numbers and three odd numbers, and 3 is half of 6
The following figure shows \triangle ABC△ABCtriangle, A, B, C with side lengths to the nearest tenth. Triangle ABC. Side AC measures 8 units and side BC measures 15 units. Angle B is 28 degrees. Triangle ABC. Side AC measures 8 units and side BC measures 15 units. Angle B is 28 degrees. Find m\angle Am∠Am, angle, A. Note that m\angle Am∠Am, angle, A is acute. Round to the nearest degree.
Answer:
62
Step-by-step explanation:
Khan Academy. I got this correct, so trust me :)
The measurement of the angle A for the considered triangle is found being of 62° approximately.
What is law of sines?For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,
we have, by law of sines,
[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]
Remember that we took
[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]
For the considered triangle, we can use sine rule.
In triangle ABC, we're given that:
|AC| = 8 units|BC| = 15 unitsm∠B = 28°m∠A = ?° (to be found)The side opposite to angle A is BC and the side opposite to angle B is AC. Thus, by sine law, we get:
[tex]\dfrac{\sin(m\angle A)}{|BC|} = \dfrac{sin(m\angle B)}{|AC|}\\\\\dfrac{\sin(m\angle A)}{15} = \dfrac{\sin(28^\circ)}{8}\\\\\sin(m\angle A ) \approx \dfrac{15 \times 0.46947}{8} \approx 0.88026\\\\m\angle A \approx \sin^{-1}(0.88026)\\\\m\angle A \approx 61.67^\circ, 118.32^\circ[/tex]
But since angle A is acute(angle with measure of less than 90 degrees), thus, m∠A ≈ 61.67° ≈ 62°
Thus, the measurement of the angle A for the considered triangle is found being of 62° approximately.
Learn more about law of sines here:
https://brainly.com/question/17289163
10 points!! Can yo7 say the answer and explain it I will give brainleest
Answer:
Can you add if you can add you have to add up every thing and the answer will be
PLEASE HELP, WILL GIVE BRAINLIEST
no links pls, i really need help
Answer:
4 units to the right
Step-by-step explanation:
the bigger units subtracted by the smaller units and the direction it is going
Answer:
I'm pretty sure the answer is D because a net force can't be just balanced to one side if there are two different forces, I hope this helps.
Step-by-step explanation:
Y=(x-3)(x+5) in general form
Answer:
here is your answer
x²-9
What digit is the most frequent between numbers 1 and 1,000(inclusive)?
Answer:
Total appearances = 9+180+3 = 192. It is obvious that the most frequent digit is 1. Number of digits from 1 to 1000. Total = 2893.
having a hard time with this
Answer:
the correct answer is D
Step-by-step explanation:
because the -9 5/8 is in absolute value marks.
can someone help me ?
Answer:
2) x < 3
Step-by-step explanation:
The graph has an open circle (representing the signs < >) and its on the point "3". Since the line is going towards the left, it means x is less than 3. Therefore, the answer is 2) x < 3
(7 + 5) · 2 - 4² ÷ 8 + 3
what is the answer for this? show work too
Answer: 0.5
Step-by-step explanation:
You need to use
Brackets
Indices
Division
Multiplication
Addition
Subtraction
7 + 5 =12
12 - 16 = -4
-4 / 8 = -0.5
-0.5 + 3 = 2.5
2.5 - 2 = 0.5
Answer: 4
Step-by-step explanation: 7+5=12
12×2=24
24- (4×4)= 24-16=8
8÷8=1
1+3=4
who wants to really help me ill give brainlist and 5.0 and say thanks
Answer:
Because 5 + 9 = 9 + 5
Step-by-step explanation:
Answer:
Choice a is the correct answer
Step-by-step explanation:
Equalvalent expressions are two expressions that result with the same answer.
pls mark me brainiest
hey! i’ll give brainliest please help! thanks
Answer:
I think it might have been D, becoming a monarch, because he wanted to rule the world I guess.
Step-by-step explanation:
I recommend you put this under history instead of mathematics.
If a=4, b=6, and c=2. what is ab?
Step-by-step explanation:
a=4
b=6
c=2
ab=?
now
ab=a*b
=4*6
=24
Answer:
ab is 24
Step-by-step explanation:
a=4, b=6 ab is a times b 4 times 6 equals 24 4*6=24 your answer will be 24
Ramón and Merissa are driving to New York City after college. The first 300 miles they spend $12.50 on gas.
At this rate, if they drive 960 miles, how much will the gas cost for the entire trip? (Round your answer to the nearest dollar.)
O A. $100
B. $77
O c. $53
D. $40
O E. $28
Answer:
Step-by-step explanation:
$77
5) help with math question (in photo)
Pls don’t put answer in a link
Answer:
38.2
Step-by-step explanation:
d^2=1458
d=38.18
If 7x + 3 = 24, what is the value of 5 - 4x?
Answer:
Step-by-step explanation:
7x + 3= 24
7x= 24-3
7x= 21
x= 21/7
x= 3
Then we have that
5-4x
5-4(3)
5-12
Answer= -7
Jayce looks around at an assembly. He notices his younger sister to his right and his older brother 48 feet ahead of him. If Jayce's brother and sister are 52 feet apart, how far apart are Jayce and his younger sister? * plzzzzzzzzzz 50 ppoints and brainliest
Answer:
I think it's 50
Step-by-step explanation:
48
49
50
51
52
50 8s inbetween the two
What is the surface area of this figure? Round to the nearest tenth if necessary.
10 ft
12 ft
6 ft
8 ft
Answer:
336 ft ²
Step-by-step explanation:
Find the area of the two triangles
In this case, both triangles are the same, so we can modify the formula for area of triangle
In the formula, we divide by two, but because we multiply the area by two for the two triangles, we can just use base x height
Triangles = 6 x 8 = 48 ft²
top rectangle = 10x12 = 120 ft²
bottom rectangle = 8x12 = 96 ft²
back rectangle = 6x12 = 72 ft²
Total = 48 ft² + 120 ft² + 96 ft² + 72 ft² = 336 ft²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Help me pls it’s math TwT
Confused bab in need ☹️
Answer:
25 in^2
Step-by-step explanation:
So the area of a triangle is (Base * Height) / 2. The base, which is where the triangle "sits" is 10 in. The height is 5 in.
With this, these numbers can both be plugged in to get the answer:
(10 * 5) / 2
50/2
25 in^2
It is squared after the units since it is the area.
The area of a triangular banner is 64 square feet. The base of the banner is 16 feet long. Write an equation you can use to find the height h of the banner. (Hint: A=1/2bxh)
Write it as an equation.
6. Nuni Lal borrowed RS. 2400 as a Loan for 5 years at
the rate of 6% per annum. Then immedietly he Lent the
Same amount to Briju Lal for 4 years at the rate of 10 percent
annum. How much profit or loss did nuni lal
make in this transaction. find it?
Step-by-step explanation:
hope it is helpful to you
find the distance.show your work.
intial velocity is 30.20 meter per second and time Is 32.8 second
Answer:
990.56
Step-by-step explanation:
because, Distance=velocity× time
help please!! ill mark you as brainliest if it’s correct
Answer:
[tex] {6}^{2} \times \pi \times 15 + \frac{1}{2} \times \frac{4}{3} \times \pi \times {6}^{3} = 19 \times {6}^{2} \times 3.14 = 2147.76[/tex]
Answer:
Step-by-step explanation:
Hemisphere Formula: ( 2 / 3 ) πR = V
Substitution: ( 2 / 3 ) 3.14 * 6 = 12.56
Cylinder Formula: πR^2 * H = V
Substitution: 3.14 * 6^2 * 15 = 1695.6
1695.6 + 12.56 = 1708.16
Please give me Brainliest if I'm correct ! :)
please help me!!!!!!
what 10+10+10+10+10+10+9=
10+10+10+10+10+10+9=69
Answer:
its simple girl;;;;;
ans=69
(Ohh dear don't leave the question with this big pts!!! )
In AGHI, h = 300 inches, G=30° and H=29º. Find the length of i, to the nearest
inch.
Given:
In triangle GHI, h = 300 inches, G=30° and H=29º.
To find:
The length of i.
Solution:
We have, G=30° and H=29º.
Using angle sum property, we get
[tex]m\angle G+m\angle H+m\angle I=180^\circ[/tex]
[tex]30^\circ+29^\circ+m\angle I=180^\circ[/tex]
[tex]59^\circ+m\angle I=180^\circ[/tex]
[tex]m\angle I=180^\circ-59^\circ[/tex]
[tex]m\angle I=121^\circ[/tex]
According to Law of sines,
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
Using Law of sines, we get
[tex]\dfrac{h}{\sin H}=\dfrac{i}{\sin I}[/tex]
[tex]\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}[/tex]
[tex]\dfrac{300}{0.4848}=\dfrac{i}{0.8572}[/tex]
Multiply both sides by 0.8572.
[tex]\dfrac{300}{0.4848}\times 0.8572=i[/tex]
[tex]530.44554=i[/tex]
[tex]i\approx 530[/tex]
Therefore, the length of i is about 530 inches.
Function g can be thought of as a translated (shifted) version of f(x) = 2?.
Write the equation for g(x).
NEED HELP ASAP
Answer:
g(x)=(x+5)^2
Step-by-step explanation:
the account looks like this, because you invert the sign 5 is negative to the left, so for the result to be negative in the account it has to be positive
g(x)=(x+5)^2
(x+5)^2=0
x+5=0
x=0-5
x=-5
Good Studies!!!
2x - 9x + 13- 10
combine like terms pls help besties
Answer:
- 7x + 3
Step-by-step explanation:
2x - 9x + 13 - 10
- 7x + 13 - 10
- 7x + 3