Answer:
X = 4
Step-by-step explanation:
6x + 8 = 32
6x = 32 - 8
6x = 24
x = 4
the solution is X = 4.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
here, we have,
6x + 8 = 32
6x = 32 - 8
6x = 24
x = 4
hence, the solution is x=4.
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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°
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
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%
slope= -1/2, y-intercept = 4
Answer:
y=-1/2x+4
Step-by-step explanation:
y=mx+b
where m=slope and b=y-intercept
so
y=-1/2x+4
sume that the change in daily closing prices for stocks on the New York Stock Exchange is a random variable that is normally distributed with a mean of $0.35 and a standard deviation of $0.33. Based on this information, what is the probability that a randomly selected stock will close up $0.75 or mor
Answer:
0.1131 = 11.31% probability that a randomly selected stock will close up $0.75 or more.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Normally distributed with a mean of $0.35 and a standard deviation of $0.33.
This means that [tex]\mu = 0.35, \sigma = 0.33[/tex].
What is the probability that a randomly selected stock will close up $0.75 or more?
This is 1 subtracted by the p-value of Z when X = 0.75. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0.75 - 0.35}{0.33}[/tex]
[tex]Z = 1.21[/tex]
[tex]Z = 1.21[/tex] has a p-value of 0.8869.
1 - 0.8869 = 0.1131
0.1131 = 11.31% probability that a randomly selected stock will close up $0.75 or more.
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:
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
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]
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
A while back, Caleb paid a car insurance
premium of $3,530 per year. Now he pays 20%
more. What does Caleb pay now?
$
Submit
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]
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.
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
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?
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]
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
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:
What combination of translation is shown below?
reflection, then translation
pls help asap thanks <3
Answer:59
Step-by-step explanation:
beacause you need to added them all together
What is the common ratio of the geometric sequence 4, 16, 64, 256? * please help
Answer:
4
Step-by-step explanation: 16/4=4
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.
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.
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:)
How to put -2(-6x+3y-1) in distributive property
Answer:
12x - 6y + 2
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!
Plz help me well mark brainliest if correct!!.....
A boat is heading towards a lighthouse, where Serenity is watching from a vertical distance of 141 feet above the water. Serenity measures an angle of depression to the boat at point A to be
9°. At some later time, Serenity takes another measurement and finds the angle of depression to the boat ( now at point B ) to be 61°. Find the distance from point A to point B. Round your answer to the nearest foot if necessary.
Please help me
All the pts I have
A boat is heading towards a lighthouse, where Serenity is watching from a vertical distance of 141, the distance from point A to point B. is mathematically given as
BC=78.1575
What is the distance from point A to point B.?Generally, the equation for the angle is mathematically given as
[tex]tan\theta=\frac{oop}{adj}[/tex]
Therefore
[tex]tan\theta=\frac{141}{AC}[/tex]
Therefore
[tex]AC=\frac{141}{tan 9}[/tex]
AC=890.2389
In conclusion, with triangle BDC
[tex]tan61=\frac{141}{BC}[/tex]
Therefore
BC=141/tan61
BC=78.1575
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If CP = RS 3000 and SP=RS 3300 find profit percentage
Answer:
Step-by-step explanation:
CP=Rs 3000
SP=Rs 3300
since SP is greater than CP there is profit
profit%=sp-cp/cp*100%
=3300-3000/3000*100%
=300/3000*100%
=(300*100/3000)%
=30000/3000%
=10%
Answer:
10 percentStep-by-step explanation:
cp=Rs3000
sp=Rs3300
so cp<sp there is profit
profit=sp-cp
=Rs3300-Rs3000
=Rs300
Now
profit percent =profit × 100percent
cp
= 300 ×100
3000
=10percent
hope it helps
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
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