Answer:
a^2
Step-by-step explanation:
Ia^2I if a<0
Since a^2 is always positive, we can remove the absolute value sign and nothing will change
a^2
Use the square root property to solve for x in the following equation (x-3)^2-10=15
(x – 3)² – 10 = 15
↓
[tex] {x}^{2} - 6x + 9 - 10 = 15[/tex]
[tex] {x}^{2} - 6x - 1 = 15[/tex]
[tex] {x}^{2} - 6x - 15 = 0[/tex]
[tex] {x}^{2} + 2x - 8x - 1 - 15 = 0[/tex]
[tex] {x}^{2} + 2x - 8x - 16 = 0[/tex]
[tex]x \times (x + 2) - 8x - 16 = 0[/tex]
[tex]x \times (x + 2) - 8(x + 2) = 0[/tex]
[tex](x + 2) \times (x - 8) = 0[/tex]
[tex]x + 2 = 0[/tex]
[tex]x - 8 = 0[/tex]
so,
[tex]x1 = - 2[/tex]
[tex]x2 = 8[/tex]
D
Find mZW.
X
WK (11x - 29)
Z
(6x + 5)
mZW
Answer:
m<W = 103°
Step-by-step explanation:
First, find the value of x
m<W + m<Y = 180° (opposite angles in a cyclic quadrilateral are supplementary)
11x - 29 + 6x + 5 = 180 (substitution)
Add like terms
17x - 24 = 180
Add 24 to both sides
17x = 180 + 24
17x = 204
Divide both sides by 17
17x/17 = 204/17
x = 12
Find m<W:
m<W = 11x - 29
Plug in the value of x
m<W = 11(12) - 29 = 132 - 29
m<W = 103°
Please help finals killing me
Answer:
Solution given:
1.
L.h.s.
cscx+cotx
[tex] \frac{1}{cosx}+\frac{cosx}{sinx}[/tex]
[tex]\frac{1+cosx}{sinx}[/tex]
multiplying and dividing by (1-cosx)
[tex]\frac{(1+cosx)(1-cosx)}{sinx(1-cosx)}[/tex]
[tex]\frac{1-cos²x}{sinx(1-cosx)}[/tex]
we have
1-cos²x=sin²x
[tex]\frac{sin²x}{sinx(1-cosx)}[/tex]
[tex]\frac{sinx}{1-cosx}[/tex]
=R.h.s.
proved.
2.
l.h.s
[tex]\frac{tan y}{1-cot y}+\frac{cot y}{1-tany}[/tex]
[tex]\frac{\frac{sin y}{cos y}}{1-\frac{cos x}{siny}}+\frac{\frac{cos y}{sin y}}{1-\frac{siny}{cos y}}[/tex]
[tex]\frac{\frac{sin y}{cos y}}{\frac{siny -cos y}{siny}}+\frac{\frac{cos y}{sin y}}{\frac{cos y-siny}{cos y}}[/tex]
[tex]\frac{sin²y}{cos y(siny-cosy)}+\frac{cos ² y}{sin y(cos y-siny)}[/tex]
[tex]\frac{sin²y}{cos y(siny-cosy)}- \frac{cos ² y}{sin y(-cos y+siny)}[/tex]
[tex] \frac{sin³y -cos³y}{sinycosy(siny -cosy)}[/tex]
[tex] \frac{(sin y- cos y)(sin²y+sinycosy+cos²y)}{sinycosy(siny -cosy)}[/tex]
[tex] \frac{sin²y+cos²y +siny cosy}{sinxcosy}[/tex]
[tex] \frac{1+sinxcosy}{sinycosy}[/tex]
[tex]\frac{1}{sinycosy}+1[/tex]
1+cscysecy
R.h.s.
proved.
Solve 7/w+4 =5/w+4-6/w
Answer:
w=-1+[tex]\sqrt{2}[/tex], w=-1-[tex]\sqrt{2}[/tex]
Step-by-step explanation:
2.75 Cards are dealt, one at a time, from a standard 52-card deck. a If the first 2 cards are both spades, what is the probability that the next 3 cards are also spades
Answer:
The answer is "0.00842".
Step-by-step explanation:
Due to these cards, a conventional 52-card set is dealt one at a time.
While the first two cards are spades, then it would be expected that we could find the next three cards tents, too.
Let A draw 2 spade cards out of 52 cards. Let B become the occasion to draw 3 spade cards the remaining 50 end cards [tex](A \cap B)[/tex] was its case where a 52 card spade is chosen [tex](2+3)=5[/tex].
The number of plots drawn first from 13 regular 52-cerd decks equals number of,[tex]n(A)=\binom{13}{2}[/tex] probability of event [tex]A, PA =\frac{\binom{13}{2}}{\binom{52}{2}}[/tex]
Furthermore, the multitude of possibilities we can pull from of the remaining 11 spades of the previous 3 cards is 50-card decks standard, [tex]n (B) = \binom{11}{3}[/tex] then, the probability of event, [tex]B, P(B)=\frac{\binom{11}{3}}{\binom{50}{3}}[/tex]
The chances of five cards being drawn (three spades and two spades),
[tex]P(B \cap A)=\frac{\binom{13}{5}}{\binom{52}{5}}[/tex]
Then there is the chance that the next three cards will be picked if the first two are both pads, [tex]P(\frac{B}{A})[/tex]
[tex]\to P(\frac{B}{A}) \\\\ =\frac{P(B\cap A )}{P(A)}\\\\=\frac{\frac{\frac{13}{5}}{\frac{52}{2}}}{\frac{\frac{13}{2}}{\frac{52}{2}}}\\\\= 0.00842[/tex]
Help!!!!!!!!!!!!!!!!!
Answer:
the answer is one hundred and eight 108
Step-by-step explanation:
108 bro trust me
How do the absolute values of - 12.5 and 11.5 compare? Choose a symbol to make the statement true.
Answer:
Step-by-step explanation:
11.5 is greater than -12.5
Answer: -12.5 is greater
-
Step-by-step explanation:
Hi plz help, if you can ill mark you 5 starz! :)
Answer:
The answers are B, D, and E
Step-by-step explanation:
Answer:
I think B, D, E! Sorry if it's wrong!
Step-by-step explanation:
Only ones that fits the plot!
Evaluate this expression
4cd
if
C = -4 and d = 3
Answer:
-48
Step-by-step explanation:
4(-4)(3)
-16(3)
-48
Answer:
4(-4) (3)
Step-by-step explanation:
put that in your calccalculator:)
A cable 27 feet long runs from the top of a utility pole to a point on the ground 16 feet from the base of the pole. How tall is the utility pole?
Answer:
15^2+x^2=22^2
225+x^2=484
x^2=259
x=16.09 feet
Step-by-step explanation: 15^2+x^2=22^2
225+x^2=484
x^2=259
x=16.09 feet
Find the first term and the common ratio of the following geometric
sequence: 8, 16, 32, ...
a = 8, r = 2
a = 8, r = 8
a = 8, r = 4
a = 32, r= 1
Step-by-step explanation:
hope it helps you see the attachment for further information
The square below has area 100. Find the area of the shaded region.
Answer:
21.46
Step-by-step explanation:
Start with the square
[tex]A = a^{2} \\100 = a^{2}\\10 = a[/tex]
Each side of the square is 10
This also means the diameter of the circle is 10, with a radius of 5
[tex]A = \pi r^{2} \\A = \pi 5^{2} \\A = 78.54[/tex]
Now substract the area of the circle from the square
x = 100 - 78.54
Corrie is 5 inches taller than Jason who is 4 ft. 9 in. Jennifer is
8 in shorter than Corrie. How tall are Corrie and Jennifer?
(Express answers in simplest terms.)
Corrie_______.
Jennifer_______.
Answer:
Corrie = 5 ft. 2 in.
Jennifer = 4 ft. 6 in.
Step-by-step explanation:
If you convert Jason's height to inches then it would be 57 in.
4 x 12 = 48 in. 48 + 9 = 57 in.
To find Corrie's height you just have to add 5 inches to Jason's height.
57 + 5 = 62 in.
And to find Jennifer's height you just subtract 8 inches from Corrie's height.
62 - 8 = 54 in.
Now all you need to do is convert Corrie and Jennifer's height into feet. You have to divide Corrie and Jennifer's height by 12 inches. And if there are leftover or remaining numbers once you divide, they are just inches that you add on after the feet.
Jennifer's height = 54 / 12 = 4 feet and 6 inches are left over.
Corrie's height = 62 / 12 = 5 feet and 2 inches are left over.
Sarah had 6 candy canes. She wanted to give each of her friends 1/3
of a candy cane. How many friends would receive a piece of candy?
A population of crawfish in a section of the Louisiana bayou increased from 900,000 to 1.2 million between 2010 and 2011. If the population increases by the same percentage between 2011 and 2012, what will the population be in 2012
Answer: 1,599,960
Step-by-step explanation:
Since the population of crawfish in a section of the Louisiana bayou increased from 900,000 to 1.2 million between 2010 and 2011. The percentage increase in population will be:
= (1.2 million - 900000) / 900000 × 100
= 300000/900000 × 100
= 33.33%
Since the population increases by the same percentage between 2011 and 2012, then the population in 2012 will be:
= (100% + 33.33%) × 1.2 million
= 133.33% × 1.2 million
= 1.3333 × 1.2 million
= 1,599,960
The population in 2012 is 1,599,960
The Briarwood Middle School Chess club has 75 members. Of those members, 15 are 7th graders. What percent of the chess club members are not 7th graders?
(Proportional Reasoning)....
I would really appreciate, if you answered.
Answer:80
Step-by-step explanation: I am not 100% sure this is right but what i did was 75 - 15 =60, 60/75 in percentage is 80%
What is the common ratio of the geometric sequence 4, 16, 64, 256? * please help
Answer:
4
Step-by-step explanation: 16/4=4
PLEASEEEEEE HELPPPP IM BEGGING ISOMEONE PLEASEEEE
Answer:
Reason : by ASA , x = 36
Step-by-step explanation:
∠ABC = ∠EBD (vertically opposite angle)
BC = BD = 54 (same length)
∠BAC = ∠BDE (alternate interior angles)
By ASA , ΔABC ≅ ΔDBE
[tex]54 \times x = 36 \times 54\\\\x = 36[/tex]
The kinetics of some phase transformations obey the Avrami relationship. Using the fraction transformed-time data given below, determine the total time required for the transformation to go to 92% completion. Fraction transformed Time (s) 0.2 12.6 0.7 25.7 Enter your answer in accordance to the question statement s
Solution :
Avrami relationship
[tex]$1-y=exp(-kt^n)$[/tex]
[tex]$\ln(1-y)=-kt^n$[/tex]
[tex]$-\ln(1-y)=kt^n$[/tex]
[tex]$\ln\left[\ln\left(\frac{1}{1-y}\right)\right]=\ln k + n \ln t$[/tex]
The fraction transformed is 0.2 at 12.6 s,
[tex]$\ln\left[\ln\left(\frac{1}{1-0.2}\right)\right]=\ln k + n \ln (12.6)$[/tex]
[tex]$-1.5 = \ln k + 2.533 n$[/tex] .........(i)
The fraction transformed is 0.7 at 25.7 s,
[tex]$\ln\left[\ln\left(\frac{1}{1-0.7}\right)\right]=\ln k + n \ln (25.7)$[/tex]
[tex]$0.5 = \ln k + 3.24 n$[/tex] ..............(ii)
Subtract (ii) from (i),
-2 = -0.71 n
n = 2.81
Therefore, from (i),
[tex]$-1.5 = \ln k + 2.533 (2.81)$[/tex]
k = 0.000181
Now if the fraction transformed is 0.92, then
[tex]$kt^n=-\ln (1-y)$[/tex]
[tex]$t=\left[\frac{-\ln (1-y)}{k}\right]^{\frac{1}{n}}$[/tex]
[tex]$t=\left[\frac{-\ln (1-0.92)}{0.000181}\right]^{\frac{1}{2.81}}$[/tex]
t = 29.8528 s
What side has the same length as BC?
Answer:
DE
Step-by-step explanation:
You can tell by the markings. Since there are two vertical markings it concludes that those sides are the same length.
Mai is playing a game of chance in which she rolls a number cube with sides numbered from 1 to 6. The number cube is fair, so a side is rolled at random. This game is this: Mai rolls the number cube once. She wins $1 if a 1 is rolled, $2 if a 2 is rolled, $3 if a 3 is rolled, and $4 if a 4 is rolled. She loses $0.50 if a 4, 5, or 6 is rolled.
a) Find the expected value of playing the game.
b) What can Elsa expect in the long run, after playing the game many times?
1) Elsa can expect to gain money. She can expect to win___dollars per roll.
2) Elsa can expect to lose money She can expect to lose___dollars per roll.
3) Elsa can expect to break even (neither gain nor lose money).
Answer:
A. 0.75
B. Elsa can expect to gain 0.75 dollars
Step-by-step explanation:
We have six outcomes
Using the table in the attachment, the expected value was calculated.
Expected value = 0.166667+0.3333+0.5-0.083333-0.083333-0.083333
= 0.75
B. From the answer in part A , we can conclude that Elsa can expect to gain money. She can expect to win 0.75 dollars per roll.
can you help me with this one
Answer:
q = 3m
Step-by-step explanation:
We know that segment HF is half of IJ, therefore we can say;
IJ / 2 = HF or q
6 / 2 = HF or q
3 = HF or q
Hope this helps!
How to put -2(-6x+3y-1) in distributive property
Answer:
12x - 6y + 2
Step-by-step explanation:
pls help asap thanks <3
Answer:59
Step-by-step explanation:
beacause you need to added them all together
og ready.com/student/dashboard/home
A bicycle tire is 28 inches in diameter. Approximately how far does the bicycle mo
each time the wheel goes around? (Use as an approximation for 7.)
88 inches
64 inches
44 inches
56 inches
Answer:
88 in
Step-by-step explanation:
we have to find the circumference of the circle which is ;
C = pie d
= 22/7 x 28
= 88 in
Which of the following elements represents part of the whole? a. percentage b. base c. rate d. both a and b
Answer:
Percentage
Step-by-step explanation:
What combination of translation is shown below?
reflection, then translation
the question below in the file, which shows the number in order from greatest to least?
Answer:
c
Step-by-step explanation:
a and b start with negative numbers meaning it couldnt be the greatest, then d shoes a negative number second so that cant be it
a. Find the slope of the line going through the points (-7, 7) and (3.-5).
Answer:
-1.2
Step-by-step explanation:
Plz help me well mark brainliest if correct!!.....