Answer:
Step-by-step explanation:
eq. of any circle with center (h,k) and r=1 is
(x-h)²+(y-k)²=1²
points (-18,15) and (-20,15) lie on it.
(-18-h)²+(15-k)²=1
(15-k)²=1-(-18-h)²
and (-20-h)²+(15-k)²=1
(15-k)²=1-(-20-h)²
so 1-(-18-h)²=1-(-20-h)²
-(18+h)²=-(20+h)²
324+36h+h²=400+40h+h²
40h-36h=324-400
4h=-76
h=-19
(15-k)²=1-(-18-(-19))²=1-1=0
k=15
so center is (-19,15)
The elective courses for next year are gym, shop, art, consumer science, criminal justice, and computer science. Amber needs to choose 3 electives. How many ways can she choose her electives
Answer:
She can choose her electives in 20 ways.
Step-by-step explanation:
The order in which she chooses the courses is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many ways can she choose her electives?
3 electives from a set of 6. So
[tex]C_{6,3} = \frac{6!}{3!(6-3)!} = 20[/tex]
She can choose her electives in 20 ways.
A shipping carton is in the shape of a triangular prism. The base area of the triangle is 6 inches squared and the the height of the prism is 15 inches. how many cubic inches of space are in the carton?
51
Step-by-step explanation:
uajdnensjdkalsnnamakksls
tell this !!!!............
Answer:
D
Step-by-step explanation:
Answer:
D....................
coz 100 has 0 so the number should at least have 0 in it
thvuvugufugy i need help pls i beg
Answer:
A-10
B- -12
C-3.6
If you cant understand B is -12
x[tex]x^{2}-8x+14=2x-7[/tex]
Answer:
[tex]x = 3\ or\ x = 7[/tex]
Step-by-step explanation:
Given
[tex]x^{2}-8x+14=2x-7[/tex]
Required
Solve
Equate to 0
[tex]x^{2}-8x-2x+14+7=0[/tex]
[tex]x^{2}-10x+21=0[/tex]
Expand
[tex]x^{2}-7x-3x+21=0[/tex]
Factorize
[tex]x(x-7)-3(x-7)=0[/tex]
Factor out x - 7
[tex](x-3)(x-7)=0[/tex]
Split
[tex]x - 3 = 0\ \ x - 7 = 0[/tex]
Solve
[tex]x = 3\ or\ x = 7[/tex]
Find the volume of the figure shown below.
A)15 units^3
B)30 units^3
C)9 units^3
D)None of these answers
E)There is not enough information given
Answer:
B. 30 units³
Step-by-step explanation:
the volume= 5×2×3 = 30
PLS HELP ASAP ILL MARK BRAINLIEST Find the geometric probability of landing in the shaded area of the picture. The small circle has a diameter of 6 meters and the larger circle has a diameter of 54 meters. Show and explain all work.
Answer:
1/80
Step-by-step explanation:
(the area of the small circle)/(the area of the larger circle)
= (π× 3²)/(π× 27²)
(=> eliminate π)
= 3²/27² = (1/9)² = 1/81
since the shaded area is inside the larger circle,
the geometric probability =
1/(81-1) = 1/80
When evaluated, which expression has a result that is a rational number?
Answer:
√144 * 0.25 is rational!
Step-by-step explanation:
Find x round to the nearest degree?
i don't think this is complete question there isn't value for x
29 members in math club, treasury has $364 to spend, shirts are $11 caps are $14. How many caps and shirts can he buy to exhaust the funds available?
Answer:
14 shirts, 15 caps
Step-by-step explanation:
15 x 14 = 210$
14 × = 154$
210+154 = 364$
Find P(7). 1 2 3 4 5 6 7 8 where hand points to 3
1/8
1/4
1/2
Answer:
1/2
Step-by-step explanation:
Every time clock moves 1 (like for example it move from 3 to 4) 1/8 it covers
3->4->5->6->7 => 1/8+1/8+1/8+1/8 => 4/8 => 1/2
Someone help me please this is an emergency T.T
Answer:
x < 3
Step-by-step explanation:
The graph of f(x) is above the graph of g(x) for values of x less than 3.
Answer: x < 3
Help and explain please and thanyouu
Answer:
f(-3.2) = - 7.2
Step-by-step explanation:
f(x) = [x] - 4
f(-3.2) will be ;
Here, we put - 3.2 in place of x as the question is interpreted as the value of f(x) when x = - 3.2
Therefore, we have ;
f(-3.2) = - 3.2 - 4
f(-3.2) = - 7.2
WILL GIVE BRAINLIEST!
Which is the asymptote of the graph?
y = 0
y = −3
y = −2
y = −1
Answer:
y = -2
Step-by-step explanation:
_____________________
Help please If f(x) = -3x - 5 and g(x) = 4x-2, find (1-9)(x).
9514 1404 393
Answer:
-7x -3
Step-by-step explanation:
(f -g)(x) = f(x) -g(x) = (-3x -5) -(4x -2)
(f -g)(x) = -3x -5 -4x +2 = (-3-4)x +(-5+2)
(f -g)(x) = -7x -3
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.
Answer:
B
Step-by-step explanation:
LA = radius x 2 x pi x height = 6 x 2 x pi x 13 = 489.8 ft^2
NEED HELP ON THIS ASAP PLZ!!
Answer:
x = 9.7
Step-by-step explanation:
tan θ = opposite side / adjacent side
tan 37° = x / 13
multiply 13 on each side
13 × tan 37° = 13 × x /13
13 × tan 37° = x
Rewrite
x = 13 × tan 37°
multiply, we get
x = 13 × 0.75355..
x = 9.79620265
Round nearest tenth = 9.7
PLS HELP!! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!!!!!
Answer:
Step-by-step explanation:
you have two disks, and one rectangle
area of the disk = π [tex]r^{2}[/tex]
47 π x 2 = 94 π (for the two disks....
rectangle area = L x W
width = 14
Length = 2*π*r = 14π
area = 14*14π = 196 π
total = 196 π + 94 π = 290 π
Answer:
The surface area of this cylinder is about 923.63 [tex]inches^{2}[/tex].
Step-by-step explanation:
The formula for the surface area of a cylinder is this :
[tex]A = 2\pi rh+2\pi r^{2}[/tex]
"R" is 7, and "h" is 14. Knowing these values, let's solve.
[tex]A = 2\pi rh+2\pi r^{2}[/tex] = 2 · π · 7 · 14 + 2 · π ·72 ≈ 923.62824
The surface area of this cylinder is about 923.63 [tex]inches^{2}[/tex].
Hope this helps, please mark brainliest! :)
You have 2 spreads, 3 meats, and 4 kinds of bread. How many different sandwiches can you make using one of each ingredient?
Answer:
24
Step-by-step explanation:
Mark the angles and sides of each pair of triangles to indicate that they are congruent. NO LINKS!!!
=========================================================
Explanation:
The order of the lettering is important because the order tells us how the letters pair up.
For DCB and CDJ, we have D and C as the first letters. So that means angle D and angle C are congruent between the triangles. I've marked this in red. The other angles are handled the same way.
The congruences for the segments are then built up from the angles.
At an effective annual interest rate i, i > 0, each of the following two sets of payments has present value K:
a. A payment of 121 immediately and another payment of 121 at the end of one year
b. A payment of 144 at the end of two years and another payment of 144 at the end of three vears.
Calculate i.
Answer:
Hence the calculated
Step-by-step explanation:
Now,
[tex]121+121v=144v^{2} + 144 v^{3} =K\\121(1+v)=144v^{2} (1+v)\\v^{2} =\frac{121}{144} \\\\v=\frac{11}{12}[/tex]
Then K is calculated as,
[tex]K=121(1+v)\\K=121(1+\frac{11}{12} )\\K=\frac{121(23)}{12} \\\\K= 231.916[/tex]
Here we get,
[tex]i=\left | \left ( \frac{v-1}{v} \right ) \right |\\i=\left | \frac{\frac{11}{12}-1}{\frac{11}{12}} \right |\\i=\frac{1}{11}[/tex]
Please help immediately! In desperate need!
9514 1404 393
Answer:
see attached
Step-by-step explanation:
You know that f(0) = 2^0 = 1, so g(0) = -11 has been shifted down 12 units from f(x). A shift of half as much will be a shift down 6 units from f(x), or up 6 units from g(x).
In the attached, we have named the new function h(x). It is equivalent to g(x)+6. That is, you can add 6 to each of the g(x) table values to get the corresponding values for h(x).
Adam bought three kinds of
bagels at the bagel store. He
bought twice as many onion bagels as plain
bagels. He bought four more sesame
bagels than he did plain bagels. Adam ate
one of the sixteen onion bagels he bought
as soon as he got home. How many bagels
does Adam have left?
9514 1404 393
Answer:
35
Step-by-step explanation:
The 16 onion bagels are twice as many as plain bagels, so there were 8 plain bagels.
There were 4 more sesame bagels than plain bagels, so there were 12 sesame bagels.
Adam has 8 plain, 12 sesame, and 15 onion bagels left, for a total of 35 bagels left.
8 minus the difference of p and 4 un algebraic expression
Answer:
8 - (p - 4)
Step-by-step explanation:
8 - (p - 4)
Express secΦ in terms of tanΦ
Answer:
[tex]\sec\theta=\sqrt{1+\tan^2\theta}[/tex]
Step-by-step explanation:
The trigonometric identity is :
[tex]\sec^2\theta-\tan^2\theta=1\\\\or\\\\\sec^2\theta=1+\tan^2\theta[/tex]
We need to express secθ in terms of tanθ.
The above equation becomes,
[tex]\sec\theta=\sqrt{1+\tan^2\theta}[/tex]
Hence, this is the required solution.
Suppose that the speeds of cars travelling on California freeways are normally distributed with a mean of miles/hour. The highway patrol's policy is to issue tickets for cars with speeds exceeding miles/hour. The records show that exactly of the speeds exceed this limit. Find the standard deviation of the speeds of cars travelling on California freeways. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.
Answer:
the standard deviation of the speeds of cars travelling on California freeways is 6.0 miles per hour
Step-by-step explanation:
The computation of the standard deviation of the speeds of cars is shown below;
The z score for the top 1% is 2.326
So,
= (75 - 61) ÷ standard deviation = 2.326
Standard deviation is
= 14 ÷ 2.326
= 6.0 miles per hour
Hence, the standard deviation of the speeds of cars travelling on California freeways is 6.0 miles per hour
Which of the following describes the end behavior of the function ƒ(x) = –5x3 + 3x2 + x – 9?
A)
As x → –∞, y → +∞ and as x → +∞, y → –∞
B)
As x → –∞, y → –∞ and as x → +∞, y → +∞
C)
As x → –∞, y → –∞ and as x → +∞, y → –∞
D)
As x → –∞, y → +∞ and as x → +∞, y → +∞
Answer:
A
Step-by-step explanation:
f(x)=-5x³+3x²+x-9
leading coefficient is negative and it is of odd degree.
so it starts from above onthe left and ends at the bottom ont he right.
Math problem please help thank youuuuuu
Answer:
the answer is ( -8,-8 )
Step-by-step explanation:
the first point is in -8 and the second point is also in -8 , therefore the answer is ( -8,-8 )
Janet hiked 3/8 mile in 1/4 hour. How fast did she hike, in miles per hour
Answer: answer is A
A:3/32
B:2/3
C: 1 1/2
D:4
does anyone know the quotient of x and y
Answer:
[tex]\frac{x}{y}[/tex]
Step-by-step explanation:
There you go.
Answer: The quotient of x is invisible number it can be any number depending of the equation
