$627.95 × 6.5%
=$40.81675
then:
627.95 + 40.81675
=668.76675
=$668.77
For what value of the constant c is the function f continuous on
(−∞,∞) where
f(b) = { cb + 9 if b ≤ 3
c(b)² − 9 if b > 3
9514 1404 393
Answer:
c = 3
Step-by-step explanation:
In order for the function to be continuous at b=3, the left and right limits must be the same. In short, we must have ...
c(3) +9 = c(3²) -9
18 = 6c . . . . . . . . add 9-3c to both sides
3 = c . . . . . . . . . . divide by 6
Function f is continuous when c=3.
Calculate the scale factor of ALMN to AOPQ. Enter answer as a whole
number or as a fraction in lowest terms, using the slash mark ( 7 ) for the
fraction bar.
Step-by-step explanation:
the scale factor is 1
1/1
both triangles are similar and the scale factor is 1/1
....................
In a painting of the Mona Lisa, the length of the painting is 4 1/2 inches. Milo scales the drawing up by 2 3/4?
what kind of idiotic question is that
does a idiot teacher exists?
William was out at a restaurant for dinner when the bill came. His dinner came to $31. After adding in a tip, before tax, he paid $39.99. Find the percent tip.
Answer: 12.9
Step-by-step explanation: Divide 39.99 by 31.00 you'll get 1.29, but you slide the decimal over and get 12.9
At practice, Diego does twice as many push-ups as Noah, and also 40 jumping jacks. He does 62 exercises in total. The equation 2x + 40 = 62 describes this situation. What is the value of x?
The value of x would be 11.
Step-by-step explanation:
We can simply just isolate x in the equation to solve:
2x + 40 = 62
(Subtract 40 from both sides) 2x = 22
(Divide each side by 2) x = 11
Hope this helps! :)
============================================================
Explanation:
If we knew the value of x, we would use PEMDAS to evaluate 2x+40 to get some single number value. For instance, if x = 4, then 2x+40 becomes 2(4)+40 which evaluates to 48 when you use PEMDAS.
However, we don't know the value of x. To find x, we follow PEMDAS in reverse to undo everything happening to x.
Note the order in which stuff is happening to x
multiply by 2add 40To undo this, we follow this process in reverse. So we need to undo the "add 40" part first, which was the last thing done. That means we'll subtract 40 from both sides
2x+40 = 62
2x+40-40 = 62-40
2x = 22
Then we undo the "multiply by 2" part. We'll divide both sides by 2
2x = 22
2x/2 = 22/2
x = 11
Let's check the answer.
2x+40 = 62
2(11)+40 = 62 ... x replaced with 11
22+40 = 62
62 = 62
Since we get the same thing on both sides, we get a true equation and this confirms we have the correct x value.
Maria borrowed $120,000 from a bank when she bought her co-op for $156,000.
The price dropped $40,000 since she bought it. She now owes the bank
$114,000. If she sold it, how much would she owe the bank? *
$6,000
$2,000
$42,000
$36,000
Other:
Answer:
hello there im sam and im going to help you with your answer.
Step-by-step explanation:
so you take the 156,000 and subtract it to 120,000 and you will get 36,000 and thats how much she owes the bank.
A curious statistics student cannot get enough statistics, so he decides to analyze the percentage of students sleeping in his statistics class. He discovers that of the 30 students in his class, 47% of the students were asleep at some point during the class period. Assuming the 30 students is less than 10% of all the students taking statistics in his school, and assuming the 30 students in the class were randomly assigned to the class, what model would he use to analyze the percentage of sleeping statistics students
Answer:
c) N(.47, .09)
Step-by-step explanation:
Options to the question are "a) N(.30, .10), b) N(.30, .09). c) N(.47, .09), d) N(.47, .008), e) N(.30, .008)"
Pο = 47% = 0.47
n = 30
Mean = Pο = 0.47
S.D = Pο(1-Pο) / n
S.D = 0.47 * 0.53 / 30
S.D = 0.09
Thus, the percentage of sleeping statistics of students follows a Normal distribution with mean = 0.47 and S..D = 0.09
A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial mass of the rocket at liftoff (including its fuel) is m, the fuel is consumed at rate r, and the exhaust gases are ejected with constant velocity ve (relative to the rocket). A model for the velocity of the rocket at time t is given by the equation
v(t)=−gt−velnm−rt/m
where g is the acceleration due to gravity and t is not too large. If g=9.8 m/s^2, m = 30000 kg, r = 160 kg/s, and ve = 3000 m/s, find the height of the rocket one minute after liftoff.
This question is incomplete, the complete question is;
A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial mass of the rocket at liftoff (including its fuel) is m, the fuel consumed at rate r, and the exhaust gases are ejected with constant velocity v(sub e) [relative to the rocket]. A model for the velocity of the rocket at time t is given by the equation:
v(t) = -gt - v(sub e) ln [(m-rt)/m]
where g is the acceleration due to gravity, and t is not too large. If g = 9.8 m/s^2, m = 30,000 kg, r = 160 kg/s, and v(sub e)= 3000 m/s, find the height of the rocket one minute after liftoff.
Answer:
the height of the rocket one minute after liftoff is 14.8441 km
Step-by-step explanation:
Given the data in the question;
Velocity of the rocket at time t is;
v(t) = -gt - [tex]V_{e\\}[/tex] ln( [tex]\frac{m-rt}{m}[/tex])
[tex]\int\limits^t_0 {v(t)} \, dt[/tex] = ₀∫⁶⁰( -gt - [tex]V_{e\\}[/tex] ln( [tex]\frac{m-rt}{m}[/tex]) )dt
= -g([tex][\frac{t^{2} }{2}]^{60}_0[/tex] - [tex]V_{e\\}[/tex] ₀∫⁶⁰In( [tex]\frac{m-rt}{m}[/tex]) dt
= -g([tex][\frac{t^{2} }{2}]^{60}_0[/tex] - [tex]V_{e\\}[/tex] [ t In( [tex]\frac{m-rt}{m}[/tex]) + [tex]\frac{m}{r}[/tex] - t - mr[tex]\frac{1}{r^{2} }[/tex] In |m-rt| [tex]]^{60}_0[/tex]
= -g([tex][\frac{60^{2} }{2}][/tex] - [tex]V_{e\\}[/tex] [ 60 (In(1 - [tex]\frac{60r}{m}[/tex])-1) + [tex]\frac{m(In(m^{2})-In((m-60r)^2))) }{2r}[/tex] ]
we input our given values; g=9.8 m/s², m=30000 kg, Ve = 3000 m/s, r = 160 kg)
= -9.8([tex][\frac{60^{2} }{2}][/tex] - 3000 [ 60 (In(1 - [tex]\frac{60(160)}{m}[/tex])-1) + [tex]\frac{30,000(In(30,000^{2})-In((30,000-60(160))^2))) }{2(160)}[/tex] ]
[tex]\int\limits^t_0 {v(t)} \, dt[/tex] = 14844.10 m
we convert to kilometer
[tex]\int\limits^t_0 {v(t)} \, dt[/tex] = 14844.10 ÷ 1000
[tex]\int\limits^t_0 {v(t)} \, dt[/tex] = 14.8441 km
Therefore, the height of the rocket one minute after liftoff is 14.8441 km
Mona has 160 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed area
see topper. com
Step-by-step explanation:
uyhhghjggg
The Yankees 90 of their 162 games last season. What percentage of their games did they win?
Answer:
If they won 90 out of 162, they won 55.(5)% of their games.
Step-by-step explanation:
I assume they WON 90 of the 162 games.
90/162 = 45/81 = 15/27 = 5/9
5/9 = 55.(5)%; (because 1/9 = 11.(1)%)
Answer:
55.56%
Step-by-step explanation:
1. Put into a fraction = 90/162
2. Simplify = 5/9
3. Calculate the fractions value by dividing the numerator by the denominator.
4. Multiply the answer by 100
5. Simplify
Hopefully this helps!
Luke's family goes to the movies and purchase a large popcorn. They are are debating whether or not to purchase any drinks.The table below shows how much they'll spend based on the number of drinks they decide to purchase
Answer:
where is the picture to show ????
Answer:
x=9/4
Step-by-step explanation:
what’s the area pls help for 30 points ?
Answer:67.5
Step-by-step explanation:
5*10=50
5*7=35 35/2=17.5
17.5+50=67.5
Answer:
5*10=50
5*7=35 35/2=17.5
17.5+50=67.55*10=50
5*7=35 35/2=17.5
17.5+50=67.5
Step-by-step explanation:
If i have 2 apples, how many apples would I have if i divided 2 by 7 ( the number of crates the apples are in)
Answer:
You can't divide 2 by 7 unless you will round and need a decimal because it will equal 0.28571428571 but if you mean 7 divided by 2 then that would get you 3.5
Step-by-step explanation:
7.
The expression 25(1.12)m represents a population of spiders after m months. Since a year hus
12 months, 25(1.12)12n represents the population of spiders after n years.
Which expression is approximately equivalent to 25(1.12)1207
A 25(2.44)"
B 25(3.90)"
с 25(13.12)
D 25(13.44)"
Answer:
C
Step-by-step explanation:
Apply Theorem 22-B to solve for "b" State the proportion, and then the answer 27 12
Step-by-step explanation:
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zbajaibaaujabajaja
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At The Fencing Center, 60% of the fencers use the foil as their main weapon. We randomly survey 21 fencers at The Fencing Center. We are interested in the numbers that do not use the foil as their main weapon.
Part (a) In words, define the Random Variable X.
the number of fencers that do not use the foil as their main weaponthe different types of weapons the number of fencers at The Fencing Centerthe number of fencers that do use the foil as their main weapon
Part (b) List the values that X may take on.
X = 0, 1, 2, . . ., 60X = 1, 2, 3, . . ., 21 X = 0, 1, 2, . . ., 21X = 1, 2, 3, . . ., 60
Part (c) Give the distribution of X.
X ~
,
Part (d) How many fencers are expected to not use the foil as their main weapon? (Round your answer to the nearest whole number.)
fencers
Part (e) Find the probability that eleven do not use the foil as their main weapon. (Round your answer to four decimal places.)
Part (f) Based on numerical values, would you be surprised if all 21 did not use foil as their main weapon?
Yes. The probability of all 21 fencers not using the foil as their main weapon is small (less than 1%).No. The probability of all 21 fencers not using the foil as their main weapon is large (more than 10%).
Answer:
A.) the number of fencers that do not use the foil as their main weapon
B.) X : 0, 1, 2, 3,..., 21
C.) X ~ p(X) ; 21 ~ 0.4
D.) 21 ~ 0.4
E.) 0.0895
F.) Yes. The probability of all 21 fencers not using the foil as their main weapon is small (less than 1%)
Step-by-step explanation:
A.) since it is reported that 60% of fencers use the foil as their main weapon ;
The random variable (x) : number of fencers that do not use foil as their main weapon ;
( 100% - 60%) = (1 - 0.6) = 0.4
B.) values that X may take on :
Sample size = 21 ;
X : 0, 1, 2,..., 21
The distribution of X
X ~ B ; X ~ p(X) ; 21 ~ 0.4
Part (d) How many fencers are expected to not use the foil as their main weapon?
X * p(x)
21 * 0.4
= 8.4
= 8 (nearest whole number)
Part (e) Find the probability that eleven do not use the foil as their main weapon.
P(x = 11)
Using the binomial probability relation :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
P(x = 11) = 21C11 * 0.4^11 * 0.6^10
P(x = 11) = 0.0895
Part (f) Based on numerical values, would you be surprised if all 21 did not use foil as their main weapon?
P(x = 21) = 21C21 * 0.4^21 * 0.6^0
P(x = 21) = < 0.00001 ( approximately 0)
Hence, based on this very low value which is almost equal to 0 ; it will be surprising if all 21 do not use foil as their main weapon
Please solve this question
Answer:
Gud morning friend
Step-by-step explanation:
Sorry friend I don't know
Find the mean, the median and the mode of 12, 13, 9, 8, 8, 7, 6, 8, 10
Answer:
if I am not mistaken.. the median would be 9 and the the mean is also 9.
Step-by-step explanation:
first you order the numbers from least to greatest and the find with is the middle number to find the median.
6,7,8,8,8,9,10,12,13 (answer: 9)
To find the mean you will add all of the numbers up and then divide that number by the amount of numbers there are.
1) 6+7+8+8+8+9+10+12+13= 81
2) 81 ÷ 9 =9
Answer:
Mean: 9, Median: 8 Mode: 8
Step-by-step explanation:
MEAN: The AVERAGE total of all the values divided by the numbers of values.
6 + 7+ 8 + 8 + 8 + 9 + 10 + 12 + 13 = 81 81/9 (set of #'s)= 9
MEDIAN: The number in the MIDDLE of the list of values.
6, 7, 8, 8, 8, 9, 10, 12, 13 So, the middle value is 8
MODE: The number that appears the most.
6, 7, 8, 8, 8, 9, 10, 12, 13 So, 8 appears 3 times.
Hope this helps!
Charlene and Gary want to make a perfume
2.39 2.58 2.17
Answer:
What is the question?
Step-by-step explanation:
Can someone pls help me with this I have to divide the decimals
Answer:
9.8
Step-by-step explanation:
1. Move the decimal one space to the right on both the divisor and the dividend.
2. You should end up with 382.2 divided by 39
3. Answer is 9.8
Help and the question changes when its wrong
Write the equation of the line that has a slope of -3 that passes through the point (6, 2).
Answer: y=-3x+20
Step-by-step explanation:
Point slope formula = y-y1=m(x-x1)
y-2=-3(x-6)
y-2=-3x+18
y-2+2=-3x+18+2
y=-3x+20
Standard form is 3x+y =20
How to make 10.74 in two different ways?
Answer:
Step-by-step explanation:
1074/100
1.074*10
0.1074*10
107.4/10
10740/1000
Ivan used 3 rolls of blue fabric to make costumes for the annual school play. He used a total length of 12.6 yards of fabric. If each roll had the same length of fabric, how much fabric was in each roll? Write your answer in inches.
Use the table of conversion facts as necessary, and do not round your answer.
Answer:
Step-by-step explanation:
151.2
what is the lcm for 3/4and 1/2
Answer:
1 1/2
Hope that helps!
Step-by-step explanation:
About 16% of people who get their feet examined are found to have athlete's foot. What is the probability of a podiatrist examining five people until he finds the first patient who has athlete's foot? (0.16)^5 (0.84)^4(0.16)^1 (0.16)^4(0.84)^1 (0.84)5 1 − (0.16)^4
Answer:
Step-by-step explanation:
(84/100)^4(16/100)
(0.84)^4(0.16)^1
Twenty-one is greater than the sum of fifteen and two times a number
Answer:
21> 2x+ 15
Step-by-step explanation:
The expression is 21 > 15+ 2x
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Twenty-one is greater than the sum of fifteen and two times a number
let the number be x.
two times a number = 2x
and, sum of fifteen and two times a number = 15 + 2x
So, Twenty-one is greater than the sum of fifteen and two times a number
21 > 15+ 2x
Hence, the expression is 21 > 15+ 2x.
Learn more about algebra here:
https://brainly.com/question/24875240
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A figure skater begins spinning counterclockwise at an angular speed of 4.5 π rad/s. During a 4.8 s interval, she slowly pulls her arms
inward and finally spins at 7.2 π rad/s.
What is her average angular acceleration
during this time interval?
Answer in units of rad/s
2
.
Answer:
[tex]\alpha =1.76\ rad/s^2[/tex]
Step-by-step explanation:
Given that,
Initial angular speed of the skater, [tex]\omega_i=4.5\pi\ rad/s[/tex]
Final angular speed of the skater, [tex]\omega_f=7.2\pi\ rad/s[/tex]
Time interval, t = 4.8 s
We need to find her average angular acceleration during this time interval. Let [tex]\alpha[/tex] be the average acceleration of the skater. So,
[tex]\alpha =\dfrac{\omega_f-\omega_i}{t}\\\\\alpha =\dfrac{7.2\pi -4.5\pi}{4.8}\\\\\alpha =1.76\ rad/s^2[/tex]
So, her angular acceleration is [tex]1.76\ rad/s^2[/tex].
-7(-2w-2y+4) distributive property to remove the parentheses
Answer:
14w + 14y - 28
Step-by-step explanation:
-7(-2w - 2y + 4)
Distributive:
14w + 14y - 28
good luck, hope this helps :)
Find the surface area for a sphere with a radius of 10 feet. Round to the nearest whole number.
A.1.256
B.4.189
C.1,089
D.1,568
Answer:
C is my answer
Thank You
Mark me as Brainilest Answer please ty