Answer:
What do you need help with?
Each of the letters of the word ALABAMA are written on a piece of paper and then
put into a bag. A piece of paper is drawn at random. What is the theoretical
probability of NOT drawing an A?
Answer:
3/7
Step-by-step explanation:
There are 7 letters in ALABAMA. And there are 4 A's in ALABAMA. So if you're trying to not get an A then you would subtract 4 from 7. Which you would get 3/7 of the letters in ALABAMA are not A.
Which is the equation of a hyperbola with directrices at x = ±2 and foci at (5, 0) and (−5, 0)?
The required equation of the hyperbola is expressed as
[tex]\frac{x^2}{10}- \frac{y^2}{15}=1 \\[/tex]
The standard form for calculating the equation of a parabola along the x-axis is expressed as:
[tex]\frac{(x-k)^2}{a^2}-\frac{(y-h)^2}{b^2} = 1 \ ............. 1[/tex] where:
(h, k) is the center
(k±c, h) are the foci
[tex]x=h\pm\frac{a^2}{c}[/tex] is the directrix
From the question given, we can see that foci = (±5, 0)
k±c, h = ±5, 0
k = 0
h = 0
c = 5
From the directrix,
[tex]x=h\pm\frac{a^2}{c}\\x =0\pm\frac{a^2}{5}\\\pm2 = \pm\frac{a^2}{5}\\a^2 = 10\\[/tex]
Also, we need to know that;
a²+b² = c²
10 + b² = 5²
b² = 25 - 10
b² = 15
Substituting the gotten values into the equation of a hyperbola;
[tex]\frac{(x-0)^2}{10}- \frac{(y-0)^2}{15} =1\\\frac{x^2}{10}- \frac{y^2}{15} =1\\[/tex]
This gives the required equation of the hyperbola
Learn more on the equation of hyperbola here: https://brainly.com/question/20409089
Answer:
The answers are between C and D
Step-by-step explanation:
It can't be A or B because they create a horizontal hyperbola, when the directrices are vertical.
Some help doing a final
Answer:
65 degrees
Step-by-step explanation:
90 + 90 + 115 + x = 360
x= 65
Find the area of the complex figure below.
A. 84 in^2
B. 90 in^2
C. 96 in^2
D. 102 in^2
a fair dice is rolled. work out the probability of getting a number more than 2. give your answer in its simplest form
Answer:
67% (rounded)
Step-by-step explanation:
Since there is 1-6,
There is 3,4,5,6 which is 4/6 chance being above 2.
2/3 = 66.6%
Answer:1/36
Step-by-step explanation:
Sparky has a monthly cell phone plan that has a fixed charge of $15 per month plus $0.05 per text message. Sparky wants to spend no more than $50 per month on his cell phone. Write an inequality that represents the number of test messages, x, that Sparky can use in a month. PLEASE HELP!!!
Answer:
15 + 0.05x ≤ 50
Step-by-step explanation:
The cost needs to be less than or equal to 50. Thus, the equation would be
15 + 0.05x ≤ 50
there are 10 children in line. four are girls the rest are boys. which number sentence can be used to find the number of boys in line?
Answer:
Im sorry i dont understand what you mean by sentence but there are 6 boys
Step-by-step explanation:
Please help me find the value of x!
Exact Answer: x = 16/3
Approximate Answer: x = 5.333
=======================================================
Work Shown:
base = 3x-1
height = x
area of triangle = (base*height)/2
40 = x*(3x-1)/2
40*2 = 3x^2 - x
80 = 3x^2 - x
0 = 3x^2 - x - 80
3x^2 - x - 80 = 0
Now apply the quadratic formula
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-1)\pm\sqrt{(-1)^2-4(3)(-80)}}{2(3)}\\\\x = \frac{1\pm\sqrt{961}}{6}\\\\x = \frac{1\pm31}{6}\\\\x = \frac{1+31}{6} \ \text{ or } \ x = \frac{1-31}{6}\\\\x = \frac{32}{6} \ \text{ or } \ x = \frac{-30}{6}\\\\x = \frac{16}{3} \ \text{ or } \ x = -5\\\\x \approx 5.333 \ \text{ or } \ x = -5\\\\[/tex]
A negative height doesn't make sense, so we ignore x = -5
The only solution is x = 16/3 which approximates to x = 5.333
What are the values of c and d in the matrix subtraction below? [ 6 8 -11 15 ]-[c+2 3 -5 d-4 ]=[ 22 5 -6 17] C=-14 d= -6 c=-18 d= -6 c=-14 d=2 c=-18 d=2
Answer:
c=-18 d=2
Step-by-step explanation:
[ 6 8 -11 15 ]-[c+2 3 -5 d-4 ]=[ 22 5 -6 17]
The equation tells that when the two matrices are subtracted we get the resultant matrix.
Each element of the first matrix corresponds to each element of the second matrix
From above
6- (c+2)= 22
6- c-2= 22
4-c= 22
-c= 22-4
-c= 18
c= -18
And
15-( d-4)= 17
15- d+4= 17
19-d= 17
-d= 17-19
-d= -2
d= 2
Answer:
D
Step-by-step explanation:
c= -18
d= 2
The number of sides of a regular polygon is given. Find the measure of each interior angle of each polygon.
1) 13
2) 20
3) 11
Write the equation that describes that function. Express slope intercept form. IM BEGGING FOR HELP PLEASE
Answer:
y=2x+2
Step-by-step explanation:
Terry rents a kayak while he is on vacation. He is required to pay a deposit of $95 plus an additional $11.50 per day. Terry only has $150 to spend on kayaking. Write and solve an inequality you can use to determine the maximum number of days Terry can afford to rent a kayak.
Answer:
A maximum of 4 days
Step-by-step explanation:
Inequality: 95 + 11.50x ≤ 150
Okay so the 95 is his fee. Then for everyday, it's 11.50 and we don't know how many days yet, so 11.50x. The 95 dollars and the 11.50x has to equal to or less than 150 since that is how much he has to spend on vaca.
95 + 11.50x ≤ 150
-95 -95
11.50x ≤ 55
/11.50 /11.50
X=4.78260869565
You would round down since he has a budget.
Please help it would mean sm :))) I’ll give BRAINLIST
Answer:
113.1 in
Step-by-step explanation:
C = πd
d = 36
C = 36π = 113.1 in
Can someone plz help me on this plz I have the answer just making sure I’m right. Plz no link s
Answer:
B) 63 ft.
Step-by-step explanation:
To find how long it takes for a rotation, we need to find the circumference.
To do so, we use the formula 2(pi)r
To find the radius, we divide the diameter in half :
d = 20
r = d/2
r = 20 / 2
r = 10
Then, we plug that into the formula :
2(pi)10
Insert that into your calculator :
2(pi)10 = 62.83
Simplify :
62.83 = 63 ft.
Please help! I will give Brainliest!
Answer:
Option. A
Step-by-step explanation:
Have a great day!
Answer: A
Step-by-step explanation: there's 8 spaces on the spinner
Someone help me with this pls
answer:
=y^(-4+3)
=y^ (-1)
Help correct get brainly lol
Answer:
there are seven variable terms
Step-by-step explanation:
variables are letters (a, b, c, etc.)
i hope this helps :)
Answer:
The answer is 4 because are all separate variables (also combines into one variable)
Step-by-step explanation:
rewrite each expression as single exponent. Answer all of them Please!
1} 11 to the second power times 11 to the tenth power
2} 13 to the 6 power times 13 to the forth power
3} 14 to the power 9 times 14 to the tenth power
4} 2 to the power 4 times 2 to the forth power
5} 7 to the 8 power times 7 to the 6 power
6} 3 to the power 3 times 3 to the 9 power
Answer:
[tex]11^2 *11^10 \\13^6 *13^4\\14^9 * 14^10\\2^4*2^4\\7^8*7^6\\3^3*3^9[/tex]
Step-by-step explanation:
Please Mark Brainliest for helping
Help me with this pls
Answer:
= 5^-8 . 5^-10
= 5^(-8 ) + (-10)
=5^-18
Answer:
5^-18
Step-by-step explanation:
[tex](5^{-8})(5^{-10}) = 5^{-8-10} = 5^{-18}[/tex]
If the perimeter of the polygon is 42, AB = ______?
Answer:
AB = 7
Step-by-step explanation:
The polygon pictured is a hexagon, which means that it has 6 equal side lengths. The perimeter is 42. AB is the length of one side.
Perimeter = 6 x length of one side
If you plug everything you know in the equation, you would get...
42 = 6 x length of one side
42 ÷ 6 = 7
So, 7 is the length of AB, since in a hexagon, all sides are the same length.
The length of side AB is 7.
What are regular polygons?A regular polygon is a closed shape that has straight sides of equal length and interior angles of equal measure.
This means that all of the sides and angles of a regular polygon are congruent (i.e., have the same size).
We have,
The given polygon is a hexagon since it has 6 faces.
Now,
The six faces are equal in length.
So,
6 faces length = 42
Now,
Each face = x
And,
6x = 42
x = 42/6
x = 7
Thus,
The length of AB is 7.
Learn more about regular polygons here:
https://brainly.com/question/24328525
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Please help I’m strugglinggg Oml and this is due right now
Answer:
i dont understand thisssssssss im sorrrryy what is c(5)?????? huhhhhhhhhh
Step-by-step explanation:
Solve w = x + for y.
Reply really fast and give like the work for it too please
Answer:
see below
Step-by-step explanation:
w = x+y/z
Subtract x from each side
w-x = x+y/z -x
w-x = y/z
Multiply each side by z
(w-x) *z = y/z*z
(w-x) *z = y
You can distribute the z if desired
wz -xz = y
Answer:
y = z(w - x)
Step-by-step explanation:
w = x + y/z
Subtract x from both sides
w - x = y/z
Multiply both sides by z
z(w - x) = y
Flip
y = z(w - x)
find the volume of the figure
Answer:
1920
Step-by-step explanation:
Volume of larger rectangular prism: 10 * 8 * 14 = 1120
Volume of smaller rectangular prism: 10 * 10 * 8 = 800
Volume of whole prism: 1120 + 800 = 1920
Hence, your answer is 1920
NEED TO FINISH QUICKLY!!!! HELP!!
What is the perimeter of this triangle?
A. 33 units
B. 36 units
C. 39 units
D. 42 units
Help ASAP, mathematics trig
Answer:
D
Step-by-step explanation:
Using the tangent ratio in the right triangle
tanθ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{7}{4}[/tex] , then
θ = [tex]tan^{-1}[/tex] ([tex]\frac{7}{4}[/tex] ) ≈ 60° ( to the nearest degree )
I I need help on this one fast ???
Answer:
True
Step-by-step explanation:
Answer:
i think its true but u can also copy and paste some of it like this: Is the energy transferred from a firepit to my cold hands transferred through the process called radiation?
Step-by-step explanation:
What is the area of a circle with a diameter of 5.4
P.S Show work
Which shows a pair of similar circles ?
Answer:
d) I, II and III.
Step-by-step explanation:
Two circles are similar when the two circles have different or equal radii. In case I, we have similar circles that are congruent and non-concentric, since their radii are equal. In case II, we find two similar circles which are secant to each other. Lastly, the case III represents two similar circles which are concentric.
Therefore, I, II and III show pairs of similar circles.
what is the answer??
Answer:
Step-by-step explanation:
The very bottom one I am sure
What is 4/8 + 1/4 simplified what is 3/5 + 2/10 simplified what is 1/3 + 3/9 simplified what is 2/10 +2/5 simplified and what is 3/6 + 2/12 simplified
Answer:
3/4, 4/5, 2/3. 3/5, 2/3
Step-by-step explanation:
What is 4/8 + 1/4 simplified
4/8 + 1/4
4/8 + (1/4)*2/2 (find the common denominator in our case it is 8)
4/8 + 2/8
6/8
or, 3/4 (I simplified the fraction to lowest term)
what is 3/5 + 2/10 simplified
3/5 + 2/10
3/5 + 1/5
4/5
what is 1/3 + 3/9 simplified
1/3 + 3/9
1/3 + 1/3
2/3
what is 2/10 +2/5 simplified
2/10 + 2/5
1/5 + 2/5
3/5
what is 3/6 + 2/12 simplified
3/6 + 2/12
3/6 + 1/6
4/6
2/3