Answer:
2 students are in both clubs
Step-by-step explanation:
x = 1 student (this number may be more than the total because one student can be in 2 clubs)
Club a = 13
Club b = 20
13 + 20 = 27x
Total members of clubs - total number of students = 27x - 25 = 2
2 students are in both clubs
Hope this was useful to you!
Write the equation of the hyperbola centered at the origin with focus (74, 0) and asymptote y=-7/5x
The equation of the hyperbola is =x^2/a^2-y^2/b^2=1
The equation of the given hyperbola is; x²/25 - y²/49 = 1
What is the equation of the hyperbola?
We are given;
Focus = (74, 0)
Asymptote; y = -⁷/₅x
Centered at origin
We are given that the general form of equation of a hyperbola is;
x²/a² - y²/b² = 1
Now, we know that the equations of the asymptotes are;
y = ±(b/a)x
Thus, comparing the above with our asymptote of y = -7/5x gives us;
a = 5 and b = 7
Thus, the equation of the given hyperbola is;
x²/5² - y²/7² = 1
⇒ The equation of the given hyperbola is;
x²/25 - y²/49 = 1
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Answer:
The answer is 5 and 7
Step-by-step explanation:
To the nearest hundredth, what is the circumference of a circle with a radius
of 5 units?
Answer:
31.42
Step-by-step explanation:
I think that's right. Hopefully it is.
If f(x)= x-3 over x and g(x)= 5x-4 what is the domain of (f•g)(x)
Answer:
I attached the work to your problem below.
I hope it helps.
A rectangular swimming pool is 10 meters long and 4.5 meters wide. If the volume of the
water in the pool is 72 cubic meters, how deep is the water?
(4 Points)
Hin Volume
h Identh
Answer: 1.6 meters deep
Step-by-step explanation:
LxWxH
10x4.5 = 45
45x1.6 = 72
Answer:
[tex]1.6m[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fountain. Round your answer to the nearest tenth. The perimeter of the fountain is about a feet.
complete question:
A fountain is made up of two semicircles and a quarter circle. The diameter of the semicircles is 10 ft. Find the perimeter of the fountain. Round your answer to the nearest tenth. The picture is represented below.
Answer:
The perimeter of the fountain = 47.1 ft
Step-by-step explanation:
The fountain has 2 semi circle from a smaller circle with the diameter represented as 10 ft and a quarter circle from a bigger circle with the radius equals to 10 ft.
The perimeter is the distance around the fountain.The perimeter is the circumference in circular perspective. Therefore,
perimeter for a full circle = 2πr
Half circle = 2πr/2 = πr
For 2 half circle = πr + πr = 2πr
For 2 half circle = 2πr
r = 10/2 = 5
perimeter for 2 half circle = 2 × 5 × 3.14 = 31.4 ft
Perimeter for the quarter circle
r = 10 ft
Quarter circle perimeter = 1/4 × 2πr = πr/2
Quarter circle perimeter = (3.14 × 10)/2
Quarter circle perimeter = (31.4)/2
Quarter circle perimeter = 15.7 ft
The perimeter of the fountain = 15.7 ft + 31.4 ft = 47.1 ft
Answer:
47.1
Step-by-step explanation:
47.1
please make me branlyest
If k ∈ A ∩ B, which is the most specific location of k on the Venn diagram? I II III IV
Answer:
B) ||
Step-by-step explanation:
saw this on another page and noticed the right answer was missing here
The location of k in Venn diagram is in II region.
What is Venn Diagram?A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas circles that do not overlap do not. Venn diagrams are useful for showing how two concepts are related and different visually.
We have,
k ∈ A ∩ B means k is an element of both A and B.
The region I is or A only and the region I|I is only B.
and, the region II is for those whose share A and B.
Also, zone II is in between zone I and zone III which is both.
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15 POINTS + BRAINLIEST
true or false box plot question
Answer:
I believe both are true
Step-by-step explanation:
Answer:
a) false
b) true
Step-by-step explanation:
25% people spent between 10 and 35
The box shows that 50% of the people spent 10 - 40
Algebra sucks help me
Answer:
The answer would be D
Step-by-step explanation:
It is the only one that makes sense ;-;
(hope this is correct)
I have the following question on an assignment. I have no idea how to factor to variables that aren't there.
[tex]x^2 + 7x + 10[/tex]
Answer:
I have attached the work to your problem below.
I hope this helps!
What concept did the founders of the united states borrow from the ancient greeks?
what is the answer ?
Answer:
-3x and -6x
Step-by-step explanation:
just multiply
Jada is visiting new york city to see the empire state building she is 100 feet away when sge spots it.To see the top she has to look up at an angle of 86.2 dehrees how tall is the empire state building
Answer:
Height of the empire building = 1505.57 ft
Step-by-step explanation:
Jada is visiting new York city to see the empire state building . She is 100 ft away when the she spots it. To see the top she has to look at an angle of 86.2° . The illustration forms a right angle triangle.
The height of the empire can be gotten below.
the adjacent side of the triangle formed = 100 ft
The side we are looking for is the opposite side which is the height of the empire state building. The angle formed is the angle of elevation from the ground to the top which is 86.2°
Using SOHCAHTOA principle the height can be gotten with the tangential degree.
tan 86.2° = opposite/adjacent
tan 86.2° = a/100
a = 100 tan 86.2
a = 100 × 15.0557227245
a = 1505.57227245
a ≈ 1505.57 ft
Height of the empire building = 1505.57 ft
Polygon ABCD is defined by the points A(-4,2) B(-2, 4), C(1, 3) & D(2,2). Match the coordinates of the points of the transformed polygons to their correct values
Answer:
D'(-2, 2); C''(3, -1); A'''(4, -2); and B''(4, 2)
Step-by-step explanation:
See attachment for the figure.
For D', rotating the point (2, 2) 90° counterclockwise. This maps each point (x, y)→(-y, x); it takes (2, 2)→(-2, 2).
For C'', rotating the point (1, 3) 90° clockwise. This maps each point (x, y)→(y, -x); it takes (1, 3)→(3, -1).
For A''', rotating the point (-4, 2) 180° clockwise. This maps every point (x, y)→(-x, -y); it takes (-4, 2)→(4, -2).
For B'', rotating the point (-2, 4) 270° counterclockwise. This is the similar as rotating the point 90° clockwise. This maps every point (x, y)→(y, -x); it takes (-2, 4)→(4, 2).
a. How long is 50% of 60 minutes?
Answer:
30 mn
Step-by-step explanation:
You need to calculate :
60 × 50% = 60×(50÷100)
=3000÷100
= 30
Evaluate this expression.
5^2 +3 (8-2)
A. 28
B. 32
C. 43
D. 47
E. 168
Answer:
C. 43
Step-by-step explanation:
Which is greater, 4.87 x 10^9 or 9.212 x 10^8?
please helpp
Answer: 4.87 x 10^9 is greater than 9.212 *10^8
Step-by-step explanation:
4.87 x 10^9 is greater than 9.212 *10^8 because it has the greater exponent.
4.87 * 10^9 = 4,870,000,000
9.212 *10^8= 921,200,000
4,870,000,000 > 921,200,000
A student got 78 marks out of a possible 120. Express the students mark as a percentage
The student's mark can be expressed as 65%.
To express the student's mark as a percentage, you need to divide the number of marks obtained by the possible marks and multiply by 100.
In this case, the student got 78 marks out of a possible 120.
Percentage = (Marks Obtained / Possible Marks) * 100
Percentage = (78 / 120) x 100
Percentage = 0.65 x 100
Percentage = 65%
Therefore, the student's mark can be expressed as 65%.
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A pack of 6 waters costs $5.10. How much does 1 water cost?
So each bottle of water costs $0.85
look at the attached picture
Hope it will help you..
Answer:
85 cents
Step-by-step explanation:
divide 5.10 by 6
Jen buys 4 tires for $272.
What is the cost of 1 tire?
Divide the total cost by 4:
272 / 4 = 68
It cost $68 for 1 tire
Answer:
68
Step-by-step explanation:
272/4=68
6.4 m
12m
12.5 m
rectangular prism
Answer:
Volume: 9500 m^3
Step-by-step explanation:
6.4 * 12 = 76.8
76.8 * 12.5 = 9500
write an equation of the line that passes through the point (4,7) that is parallel to the line y = 3x+1
Explanation:
The given line y = 3x+1 has a slope of 3 as it is in the form y = mx+b
Any line parallel to this given line will also have a slope of 3. Parallel lines have equal slopes but different y intercepts.
Using m = 3 and (x,y) = (4,7), find the value of b
y = mx+b
7 = 3*4+b
7 = 12+b
12+b = 7
b = 7-12
b = -5
We have y = mx+b update to y = 3x+(-5) or y = 3x-5
Plug in x = 4 and you'll have y = 3x-5 turn into y = 7.
3x-2= 4x+9/3 whats the solution
*Some help please?*
The graph of g(x) is a transformation of the graph of f(x)=3^x.
Enter the equation for g(x).
g(x) =
Answer:
I'm sorry this is kind of a hard question
what is the relationship between the base of an exponential function and its rate of growth?
Answer:
growth rate is the number of times the base repeats
Step-by-step explanation:
We have that the general form of the exponential function is of the type:
f (x) = a ^ x
where "a" is the base and "x" is the exponent.
Therefore, the relation they keep to this exponent would be the growth rate since it is the number of times that the base is repeated, which means that the higher "x" is, the more times "a" is repeated.
The base of the function "a" is the point where the exponential curve cuts the y-axis while the value of "b" determines the rate of a growth rate pf decline rate.
Exponential functionThe standard exponential function is expressed as y = ab^x
where:
a is the y-interceptb is the ratex is the time taken.The base of the function "a" is the point where the exponential curve cuts the y-axis while the value of "b" determines the rate of a growth rate pf decline rate.
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Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Step 1) Divide the figure into separate shapes
Long rectangle: 27 x 5
Triangle: 3 x 4
Middle rectangle: 15 x 7
Small rectangle: 6 x 3
Step 2) Find the area of each shape
Long rectangle: A = 27 x 5 = 135
Triangle: A = 1/2 x 3 x 4 = 6
Middle rectangle: A = 15 x 7 = 105
Small rectangle: 6 x 3 = 18
Step 3) Add all of the areas together
A = 135 + 6 + 105 + 18 = 264 square feet
Hope this helps! :)
An artist can sell 20 copies of a painting at $100 each, but for each additional copy he makes, the value of each painting will go down by a dollar. Thus, if 22 copies are made, each will sell for $98. How many copies should he make to maximize his sales?
Answer:
60 copies
Step-by-step explanation:
Answer: 60 copies
Step-by-step explanation:
The radius of a circle is 2 units.what is it’s circumference
Answer:
see below
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
C = 2 * pi *2
C = 4pi
Let pi = 3.14
C = 4 * 3.14
C =12.56
Using the pi button
C =12.56637061
Answer:
12.571428...units or [tex]\frac{88}{7}[/tex]
Step-by-step explanation:
Circumference of a circle= [tex]2\pi r[/tex]
Radius(r)= 2 units
∴Circumference= [tex]2*\frac{22}{7}*2 units[/tex]
= [tex]\frac{88}{7} units[/tex]
= 12.571428.....units
Solve the inequality
-7x + 12 = 75
Answer:
12/75 = 4/25
Step-by-step explanation:
Answer: x = -9
Explanation:
PLEASE HELP ASAP, EXTRA POINTS, CORRECT ANSWER ONLY!
Mr. Green tells you that a right angle has a hypotenuse of 13 and a leg of 5. She asks you to find the other leg of the triangle. Whats is your answer??
Answer:
Length of leg ⇒ 12
Step-by-step explanation:
Knowing this is a right angle triangle, let us apply Pythagorean Theorem to solve for the length of this other leg, which we can assign as x;
x^2 + 5^2 = 13^2 ⇒ square 5 and 13,
x^2 + 25 = 169 ⇒ subtract 25 from either side of equation,
x^2 = 144 ⇒ Take square root on either side,
Solution; Length of leg ⇒ 12
An online clothing store is offering free shipping on orders over $75 you want to purchase t shirt for $9.85 and a pair of pants for$56.00 the shipping on this order will be 20% of the total should you purchase a second t shirt? Explain your answer
Answer:
Buy Two tshirts and a pair of pants....
Step-by-step explanation:
Total purchase -
$9.85 + $56.00 = $65.85
Shipping charges is 20% -
65.85 * 0.2 = 13.17
Total (including shipping) = $79.02
If you purchace two t shirts and a pair of pants then you dont have to pay for the shipping therefore,
Total purchase will be -
$9.85 + $56.00 + $9.85 = $75.70
Puchasing 2 tshirts will be $3.32 cheaper....
Answer:
You should buy a second t-shirt.
Step-by-step explanation:
The total without shipping comes out to $65.85. Add the 20% shipping by multiplying .20 by the total, $65.85, and you get $65.85 plus $13.17, the total being $79.02. Now, if you added another shirt for $9.85, your total comes out to $75.70, which barely qualifies for free shipping. In other words, yes, you should purchase a second shirt because you would actually save money, almost $4.