Answer:
a) FKR and F'KR form supplementary angles
b) FK = F'K
EF = E'F'
(They are reflected by mirror)
6/5(8k+2)=-36solve equation
Answer:
k=-4
Step-by-step explanation:
[tex]\frac{6}{5} (8*-4+2) = -36[/tex]
Answer:
k = -4
Step-by-step explanation:
6/5 (8k + 2) = -36
5 x 6/5 (8k + 2) = -36 x 5
6(8k + 2) = -180
48k + 12 = -180
48k = -180 - 12
48k = -192
48k/48 = -192/48
k = -4
Obtain an expression that looks like this: 25+ 4 А B. X(S) = + s(s +6) S +6 S
A= ___________
B =____________
Answer:
[tex]A = \frac{2}{3}[/tex]
[tex]B = \frac{4}{3}[/tex]
Step-by-step explanation:
Given
[tex]X(s) = \frac{2s + 4}{s(s +6)}= \frac{A}{s} + \frac{B}{s + 6}[/tex]
Required
Find A and B
The expression can be rewritten as
[tex]\frac{2s + 4}{s(s +6)}= \frac{A}{s} + \frac{B}{s + 6}[/tex]
Take LCM of the right hand side
[tex]\frac{2s + 4}{s(s +6)}= \frac{A(s + 6 )+ Bs}{s(s +6)}[/tex]
Cancel out the denominators
[tex]2s + 4 = A(s + 6) + Bs[/tex]
Open Bracket
[tex]2s + 4 = As + 6A+Bs[/tex]
Reorder
[tex]2s + 4 = As +Bs+ 6A[/tex]
By direct comparison:
[tex]2s = As + Bs[/tex]
[tex]4 = 6A[/tex]
Solving [tex]2s = As + Bs[/tex]
Divide through by s
[tex]2 = A + B[/tex]
Solve for A in [tex]4 = 6A[/tex]
[tex]\frac{4}{6} = A[/tex]
[tex]A = \frac{4}{6}[/tex]
[tex]A = \frac{2}{3}[/tex]
Substitute [tex]\frac{2}{3}[/tex] for A in [tex]2 = A + B[/tex]
[tex]2 = \frac{2}{3} + B[/tex]
[tex]B = 2 - \frac{2}{3}[/tex]
LCM
[tex]B = \frac{6 - 2}{3}[/tex]
[tex]B = \frac{4}{3}[/tex]
144:12 = (60:12) +(__ : 12)
Answer:
x=84
Step-by-step explanation:
144/12 = 60/12 + x/12
12=5+x/12
12-5=x/12
7=x/12
x=84
plyy mark me as brainliest
Roman is considering buying shares of GHI stock. The stock currently sells for $60 per share. The stock changes in value at 8:00 am each day, either increasing in value by $10 or decreasing in value by $1. The stock will increase in value with 90% probability, and decrease in value with 10% probability. The stock follows a random walk. In three days, what is the probability that GHI is less than $70?
Answer:
The Probability that the GHI is less than $70 in three days is 1% or 0.01
Step-by-step explanation:
Here, we want to find the probability that the GHI is less than $70.
So what we do here is to find the scenarios that could make the $60 less than $70 is three days;
Scenario 1;
Two days decrease and one day increase
That will bring the value to 60 -1-1 + 10 = $68 which is less than 70
Scenario 2;
Three days decrease
That will bring the value to
60-1-1-1 = 57 which is less than 70
Any other possible scenario to make the value of the share less than 70? NO !
For the 1st case scenario;
Two days decrease and one day increase;
The scheduled probabilities will be as follows;
Kindly recall, probability of increase = 90% = 90/100 = 0.9
Probability of decrease = 10% = 10/100 = 0.1
So probability in scenario 1 will be;
P(Two days decrease and one day increase)
= 0.1 * 0.1 * 0.9 = 0.009
Kindly note this can happen in any order and since no order was specified, we do not need to consider other cases
Scenario ii
Three days decrease
That will be;
P(three days decrease) = 0.1 * 0.1 * 0.1 = 0.001
So the addition of both since we will be having either of the two and or means addition in probability will be ;
0.001 + 0.009 = 0.01 = 1%
1) (−12) + 7 what is the answer to this problem
B.s. is parallel to xy what is the value of x
Answer:
A. 85
Step-by-step explanation:
help!! 2x - 8 + 3x - 12 = 60
Answer:
x=16
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2x−8+3x−12=60
2x+−8+3x+−12=60
(2x+3x)+(−8+−12)=60(Combine Like Terms)
5x+−20=60
5x−20=60
Step 2: Add 20 to both sides.
5x−20+20=60+20
5x=80
Step 3: Divide both sides by 5.
5x
5
=80
5
x=16
can I be the brainest please
It cost Brody $9.80 to send 196 text messages. How many text messages did he send if he spent $4.20? *
Answer:
84 text messages
Step-by-step explanation:
Set up a proportion and solve:
dollars / texts = dollars / texts
9.8 / 196 + 4.2 / x
9.8 * x = 4.2 * 196
9.8x = 823.2
9.8x / 9.8 = 823.2 / 9.8
x = 84
Brody would have sent 84 messages if he spent $4.20.
What is a Ratio?A ratio indicates the number of times one number contains another.
Given that, the cost of sending 196 text messages is $9.80.
Therefore,
$9.80 = 196 messages
$1 = 196/9.80 messages
$4.20 = (196/9.80)×4.20 messages
$4.20 = 84 messages
Hence, Brody would have sent 84 messages, if he spent $4.20.
To learn more about ratios, click here:
https://brainly.com/question/13419413
#SPJ3
If the average of 2, 7and X is 12 what is the value of X
Answer:
2+7+X=12
2+7-12=-X
X=3
13. The perimeter P (in yards) of a soccer field is represented by the formula P = 24 + 2w,
where & is the length (in yards) and w is the width (in yards).
a. Solve the formula for w.
P= 330 yd
b. Find the width of the field.
c. About what percent of the field
is inside the circle?
doc
10 yd
- 100 yd
Answer:
[tex]w = \frac{1}{2}(P - 24)[/tex]
[tex]w = 153\ yards[/tex]
Step-by-step explanation:
Given
[tex]P = 24 + 2w[/tex]
Require
Solving (a):
[tex]P = 24 + 2w[/tex]
Subtract 24 from both sides
[tex]P-24 = 24-24 + 2w[/tex]
[tex]P-24 = 2w[/tex]
Divide both sides by 2
[tex]\frac{1}{2}(P - 24) = \frac{2w}{2}[/tex]
[tex]\frac{1}{2}(P - 24) = w[/tex]
[tex]w = \frac{1}{2}(P - 24)[/tex]
Solving (b):
Substitute 330 for P un the expression in (1)
[tex]w = \frac{1}{2}(330 - 24)[/tex]
Evaluate the bracket
[tex]w = \frac{1}{2}(306)[/tex]
[tex]w = 153\ yards[/tex]
Question c; seem irrelevant
I don’t know how to make a rule:(
Answer:
*assuming you know the concept of proportionality*
since L is directly proportional to T, an increase in L will result in an increase in T
so the solution of the first part is increases
in part 2, y is inversely proportional to x
which means that an increase in y will result in a decrease in x and vice-versa
So the answer of the second part is decreases
in part 3, since x is directly proportional to y, an increase in x will result in an increase in y
Solve for x in the equation x^2- 10x+ 25=35
Answer:
[tex]x = 5 + \sqrt{35} \: \: \:or \: \: \: x = 5 - \sqrt{35} \\[/tex]Step-by-step explanation:
x² - 10x + 25 = 35
Move 35 to the left side of the equation
That's
x² - 10x + 25 - 35 = 0
x ² - 10x - 10 = 0
Using the quadratic formula solve the equation
That's
[tex]x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]From the question
a = 1 , b = - 10 , c = - 10
Substitute the values into the above formula and solve
That's
[tex]x = \frac{ - - 10\pm \sqrt{( { - 10})^{2} - 4(1)( - 10) } }{2(1)} \\ = \frac{10\pm \sqrt{100 + 40} }{2} \\ = \frac{10\pm \sqrt{140} }{2} \\ = \frac{10\pm2 \sqrt{35} }{2} \\ = \frac{10}{2} \pm \frac{2 \sqrt{35} }{2} \\ = 5\pm \sqrt{35} [/tex]
We have the final answer as
[tex]x = 5 + \sqrt{35} \: \: \:or \: \: \: x = 5 - \sqrt{35} \\ [/tex]Hope this helps you
The product of two consecutive negative even integers is 24. What is the smaller of the two numbers?
A. -6
B. -5
C. -4
D. -2
E. 4
Answer:
The smaller one is -6, the bigger one is -4.
Step-by-step explanation:
Answer:
A. -6
Step-by-step explanation:
whats the answer to -|2+5| =
Answer: -7
Step-by-step explanation:
Evaluate each expression 9+2(4)
Answer:
your answer is 17
PLEASE HELPPPPPPPPPP The ratio of picnic tables to garbage cans
in a new national park should be 8:3.
The park design shows plans for picnic
tables in a small campground and a
large campground. How many garbage
cans should there be in each campground?
so, here’s the work. Try to change it a bit so it doesn’t look like you copied lol
Give the numerical coefficient of the term.
8m2
Is the square root of 85 a rational number
A bus makes a stop at 2:30, letting off 13 people and letting on 5. The bus makes another stop ten minutes later to let off 4 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?
Answer:14
Step-by-step explanation:
13+5-4=14 No 1 more person got on.
HELP ASAP!!! help wanted fast
PLEASE HELP!! I WILL AWARD BRAINLIEST AND 50 POINTS!!!!!!!!!!!!!!!!!!!!!! For the given picture: a) List all of the triangles that are already drawn in the picture without changing it. b) For each triangle, list the exterior angle(s) that are already drawn in the picture without changing it. c) For each of the exterior angles in part (b), identify its remote interior angles in the corresponding triangle(s).
Answer:
There are 4 triangles. For the exterior and remote interior, I’m naming the angles with three letters. If your teacher just wants one, it would be the middle one. (I assume they’ll want all three, since the letters just name points, not angles.)
1) A) Name of triangle: ABO
B) Exterior AngleS: EAO, BOC and AOD
C) Remote Interior Angles: For EAO, it’s ABO and AOB. For BOC, it’s BAO and ABO. For AOD, it’s BAO and ABO
2) A) Name of triangle: ABC
B) Exterior Angles:EAC
C) Remote Interior Angles: ABO and BCO
3) A) Name of triangle: DOC
B) Exterior Angles: ODH, DOA, COB, and OCG
C) Remote Interior Angles: For ODH, it’s DOC and COD. For DOA, it’s ODC and DCO. For COB, it’s ODC and DCO. For OCG, it has CDO and DOC
4) A) Name Of triangle: COB
B) Exterior Angles: AOB, DOC, and OBF
C) Remote Interior Angles: For AOB, it’s OBC and OCB. For DOC, it’s OBC and OCB. For OBF, it’s BOC and OCB
Step-by-step explanation:
There are 4 triangles. For the exterior and remote interior, I’m naming the angles with three letters. If your teacher just wants one, it would be the middle one. (I assume they’ll want all three, since the letters just name points, not angles.)
1) A) Name of triangle: ABO
B) Exterior AngleS: EAO, BOC and AOD
C) Remote Interior Angles: For EAO, it’s ABO and AOB. For BOC, it’s BAO and ABO. For AOD, it’s BAO and ABO
2) A) Name of triangle: ABC
B) Exterior Angles:EAC
C) Remote Interior Angles: ABO and BCO
3) A) Name of triangle: DOC
B) Exterior Angles: ODH, DOA, COB, and OCG
C) Remote Interior Angles: For ODH, it’s DOC and COD. For DOA, it’s ODC and DCO. For COB, it’s ODC and DCO. For OCG, it has CDO and DOC
4) A) Name Of triangle: COB
B) Exterior Angles: AOB, DOC, and OBF
C) Remote Interior Angles: For AOB, it’s OBC and OCB. For DOC, it’s OBC and OCB. For OBF, it’s BOC and OCB
Suppose a game show called Bayesian Boxes has the contestant sample one marble from a box and guess what type of box it is. When the contestant picks a box, the chance of each box type for this round is as follows: Type A: 75%, Type B: 20%, and Type C: 5% The chance of drawing a red marble from Type A is 2%, from Type B is 25%, and from Type C is 98%. The contestant selects a box and draws a marble. What is the chance of drawing a red m
Answer:
P(C/R) = 0.4298
Step-by-step explanation:
Missing word "arble, what is the chance it came from box Type C? (Give the decimal answer rounded to at least four places )"
Solution:
Given that P(A) = 75% = 0.75
P(B) = 20% = 0.20
P(C) = 0.05
The chance of drawing a Red marble fro,
P(R/A) = 2% = 0.02
P(R/B) = 25% = 0.25
P(R/C) = 98% = 0.98
If he select Box A than the probability of Red marble drawing
= P(A) * P(R/A)
= 0.75 * 0.02
= 0.015
If he select Box B than the probability of Red marble drawing
= P(B) * P(R/B)
= 0.20 * 0.25
= 0.5
If he select Box C than the probability of Red marble drawing
= P(C) * P(R/C)
= 0.98 * 0.05
= 0.049
So total probability of drawing Red marble is
P(R) = 0.015 + 0.050 + 0.049
P(R) = 0.114
If the Contestant draw a Red marble. Probability that it comes from box type (C) using Boyes theorem is
P(C/R) = {P(C) * P(R/C)} / P(R)
P(C/R) = 0.049 / 0.114
P(C/R) = 0.429824
P(C/R) = 0.4298
Give another name for AE
Answer: [tex]\text{Line AE}=\overleftrightarrow{EA},\quad \overleftrightarrow{DA}, \quad \overleftrightarrow{AD},\quad \overleftrightarrow{ED},\quad \overleftrightarrow{DE},\quad \text{line r}[/tex]
[tex]\text{Segment AE}=\overline{EA}[/tex]
Step-by-step explanation:
The line can be named using ANY two points on the line or using the lower case letter.
The segment can be named by placing the letters in any order.
[tex]\overline{AE}=\overline{EA}[/tex]
Sound travels at speed of 330 m/s. If a firecracker exploded 3675 m away from you, how long does it take the sound of the explosion to reach you?
can someone please help me with this geometry question?
Answer:
I think it would have to be C because 20-13=7
1. Find two functions f(x) and g(x) such that f[g(x)] = x but g[f(x)] does not equal x.2. State the vertical, horizontal asymptotes and zeros of the rational function, f(x) = {x^2+3x+2}/{x^2+5x+4}.Why is there no zero at x = –1?3. Give an example and explain why a polynomial can have fewer x-intercepts than its number of roots.
Answer:
1. [tex]f(x)=x^{2}[/tex] and [tex]g(x)=-\sqrt{x}[/tex]
2. Vertical Asymptote: x=-4
Horizontal Asymptote: y=1
Zeros: (-2,0)
Because the graph will have a hole at x=-1. This is, the graph is not defined for that particular x-value.
3. [tex]f(x)=x^{2}+4[/tex]
It has two complex roots, so there is no place in the graph where it crosses the x-axis.
Step-by-step explanation:
1. If we find the composite function f[g(x)] with the functions:
[tex]f(x)=x^{2}[/tex] and g(x)=-x, we will get the following:
[tex]f[g(x)]=(-\sqrt{x})^{2}[/tex]
which simplifies to
f[g(x)]=x
on the other hand, if we find g[f(x)] we will get the following:
[tex]g[f(x)]=-\sqrt{x^2}[/tex]
which simplifies to:
g[f(x)]=-x
2.
Before finding the asymptotes, it's a good idea to factor both the numerator and denominator of the function, so we get:
[tex]f(x)=\frac{x^{2}+3x+2}{x^{2}+5x+4}[/tex]
[tex]f(x)=\frac{(x+2)(x+1)}{(x+4)(x+1)}[/tex]
we can now see that this function can be simplified. It is important to simplify this function so we don't confuse vertical asymptotes with holes in the graph, so when simplifying we get the following:
[tex]f(x)=\frac{x+2}{x+4}[/tex]
now we can set the denominator equal to zero.
x+4=0
and solve for x:
x=-4 this is our vertical asymptote.
For the horizontal asymptote, there is a rule that tells us that if the polynomials on the numerator and denominator have the same degree (the same greatest power), then the horizontal asymptote is found by dividing the lead coefficient of the polynomial on the numerator by the lead coefficient on the denominator. In this case the lead coefficients are 1 and 1 so the horizontal asymptote is:
[tex]y=\frac{1}{1}[/tex]
so the horizontal asymptote is at:
y=1.
The zeros of the function are located at the x-values that will turn the numerator of the simplified fraction equal to zero, so we get:
x+2=0
x=-2
so the only zero will be located at (-2,0)
x=-1 is not a zero because the original function is not defined for x=-1, there is a hole in the graph at this x-value.
Take a look at the graph of the function (See attached picture)
3.
This will happen when there are no real zeros. Take for example the function:
[tex]f(x)=x^{2}+4[/tex]
In this case this problem has 2 non-real zeros:
[tex]x^{2}+4=0[/tex]
[tex]x^{2}=-4[/tex]
[tex]x=\sqrt{-4}[/tex]
so:
x=2i or x=-2i
since they are complex numbers they cannot be graphed on a coordinate axis, so the graph will not cross the x-axis. See attached picture.
Evaluate the expression.
35 - (9+8) X 2 =?
Answer:
35-(17)×2
35-34
i think it helps you
☽------------❀-------------☾
Hi there!
~
[tex]35-(9+8)\times 2=[/tex]
[tex]= 35 - (17)(2)[/tex]
[tex]= 35 - 34[/tex]
[tex]= 1[/tex]
❀Hope this helped you!❀
☽------------❀-------------☾
What number goes on top?
Answer:
33
Step-by-step explanation:
each upper cell is the sum of the two cells under it. For example 4 and 5 make 9 so 16+17=33
what is the answer to -2/3 mutiply by (4/5)
Answer:
-8/15
Step-by-step explanation:
-2 *4 = -8
5 * 3 = 15
So, -2/3 * 4/5 = -8/15
Answer:
-[tex]\frac{8}{15}[/tex]
Step-by-step explanation:
Hope this helps. Have a great day. Plz give brainliest.
PLZ HELP ASAP!! The volume of prism A is 630 in^3. What is the volume of prism B if it is the same height as prism A and every cross sectional area of prism A is equal to every cross sectional area of prism B at the same level ?
Answer:
[tex]Volume_B = 630in^3[/tex]
Step-by-step explanation:
Given
[tex]Volume_A = 630in^3[/tex]
Required
Determine [tex]Volume_B[/tex]
Volume is calculated as thus:
[tex]Volume = Height * Area[/tex]
From the question, we understand that both prisms have the same height and area;
This implies that
[tex]Volume_B = Volume_A[/tex]
Substitute [tex]630in^3[/tex] for [tex]Volume_A[/tex]
[tex]Volume_B = 630in^3[/tex]
Answer:
e. 630 in³
Step-by-step explanation:
ratio and proportion of volume with the same height:
vol A = 630
h = 21
Vol A = Vol B
h h
630 = Vol B
21 21
Vol B = 630 (21)
21
Vol B = 630 in³