Answer:
4691.74
Step-by-step explanation:
A = P(1 + r/n)^nt
= 2300(1 + .08/4)^(4 * 9)
= 2300(1.02)³⁶
= 2300 * 2.039887
= 4691.74
rationalize the denominator:
Answer:
[tex]-11\sqrt5 - 11\sqrt6[/tex]
Step-by-step explanation:
Hello!
To rationalize the denominator, we have to remove any root operations.
To do that, we can multiply the numerator and denominator by the conjugate of the denominator. A conjugate is simply the same terms but with opposite operations.
Rationalize[tex]\frac{11}{\sqrt5 - \sqrt6}[/tex][tex]\frac{11}{\sqrt5 - \sqrt6}*\frac{(\sqrt5 + \sqrt6)}{(\sqrt5 + \sqrt6)}[/tex][tex]\frac{11(\sqrt5 + \sqrt6)}{5 - 6}[/tex][tex]\frac{11(\sqrt5 + \sqrt6)}{-1}[/tex][tex]-11\sqrt5 - 11\sqrt6[/tex]The answer is [tex]-11\sqrt5 - 11\sqrt6[/tex].
The mean volume for a bottle of cologne is 4 ounces and the standard deviation is 0.22 ounces. A random sample of 121 bottles is taken. What is the probability of obtaining a sample mean within 0.04 ounces of the population mean?
a. 0.9545
b. 0.0363
c. 0.3085
d. 0.5000
Answer:
The standard error of the mean is 0.02
Step-by-step explanation:
Here, we want to calculate the standard error of the mean.
Mathematically;
standard error of mean = SD/ √n
where SD is the standard deviation and n is the number of samples
From the question, SD = 0.22 and n = 121
Inserting this into the equation
Standard error of the mean = 0.22/√121
= 0.22/11 = 0.02
The probability of obtaining a sample mean is "0.9545".
According to the question,
Mean,
[tex]\mu = 4[/tex]
Standard deviation,
[tex]\sigma = 0.22[/tex]
Random sample,
[tex]n = 121[/tex]
By Central limit theorem,
→ [tex]\bar {x} \sim (4, \frac{0.22}{\sqrt{121} } )[/tex]
[tex]= 0.2[/tex]
Now,
→ [tex]P(|\bar{x} - \mu| \ \alpha \ 0.04) = P(-0.04 \ \alpha \ \bar{x} - \mu \ \alpha \ 0.04)[/tex]
[tex]= P(\frac{-0.04}{0.02} \ \alpha \ z \ \alpha \ \frac{0.04}{0.02} )[/tex]
[tex]= P(-2 \ \alpha \ z \ \alpha \ 2)[/tex]
[tex]= 0.9545[/tex]
Thus the above response i.e., "option a" is appropriate.
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GIVING BRAINLIEST HELP ASAP!! 3x + 5y = 12 in slope intercept form please show work
Answer:
y= -3/5x + 12/5
Step-by-step explanation:
Remember, the formula is y= mx + b
#1 So we're gonna put it into that order by subtracting 3x from both sides:
3x + 5y= 12
-3x -3x
We are left with this:
5y= -3x + 12
#2 Now we will divide 5 to both sides to isolate the variable
5y/5= -3x/5 + 12/5
#3 Now that the variable is isolated we are left with the answer:
y= -3/5x +12/5
Hope this helps :)
Is this rational or irrational I really need help ASAP! Will mark brainlist.
Answer:
rational
Step-by-step explanation:
the square root of 1 is 1 and it terminates
a grocery store sells different types of trail mix as shown in the table below
E
Learning Task 2. Give the reciprocal of the given fractions below.
Write your answer in your notebook.
6
1.
6.
2
8.
7
2. 7
7.
1
2
8
3.
8.
4
4
33-
5
als -|- ||-|-
5
4. 41
9.
5
6
5.
1
10. 1
54
5
5
A
Reciprocals represent two numbers whose product is one. Multi-6/8
The correct format of the options are
(1) 6/8 (6) 2/7
(2) 7/2 (7) 1/8
(3) 33[tex]\frac{4}{5}[/tex] (8) 4/5
(4) 41 (9) 5/6
(5) 54[tex]\frac{1}{5}[/tex] (10) 1/5
Answer:
Reciprocal are those number which when multiplied by the original number gives 1 as the result. eg [tex]\frac{6}{8}[/tex] reciprocal is [tex]\frac{8}{6}[/tex], on multiplication [tex]\frac{6}{8}[/tex]*[tex]\frac{8}{6}[/tex] =1
Reciprocal of the following are as follows
(1) [tex]\frac{8}{6}[/tex]
(2) [tex]\frac{2}{7}[/tex]
(3) 33[tex]\frac{4}{5}[/tex] =[tex]\frac{ 33*5 + 4}{5}[/tex] = 169/5 => reciprocal = 5/169
(4) 1/41
(5) 54[tex]\frac{1}{5}[/tex] => [tex]\frac{54*5 +1}{5}[/tex] = 271/5 => 5/271
(6) 7/2
(7) 8
(8) 5/4
(9) 6/5
(10) 5
Which is true about the angle relationships in the rectangle? Check all that apply.
AngleBEA and AngleCED are vertical angles and equal 104°.
AngleABE and AngleCBE are complementary angles.
AngleBEC and AngleCED are vertical angles.
AngleBEA and AngleAED are supplementary angles whose sum is 180°.
AngleBEC and AngleAED are adjacent angles.
> Angle BEA and Angle CED are vertical angles and equal 104°.
> Angle ABE and Angle CBE are complementary angles.
> Angle BEA and Angle AED are supplementary angles whose sum is 180°.
The correct relationships between the angles of the given rectangle are Angle BEA and Angle CED are vertical angles and equal 104°,
Angle ABE and Angle CBE are complementary angles,
Angle BEA and Angle AED are supplementary angles whose sum is 180°.
What is a rectangle?A parallelogram with all angles right angle and congruent diagonal is called a rectangle.
Given that, a rectangle ABCD, whose diagonals intersecting at E,
The relationships will be :-
Angle BEA and Angle CED are vertical angles and equal 104°,
Angle ABE and Angle CBE are complementary angles, because the measure of angle B is 90°, therefore, sum of Angle ABE and Angle CBE is 90° and hence, complementary
Angle BEC and Angle CED are vertical angles, this is not a correct relation because both the angles are adjacent.
Angle BEA and Angle AED are supplementary angles whose sum is 180°, this is because, the angles are forming a linear pair.
Angle BEC and Angle AED are adjacent angles, this is not a correct relation because both the angles are vertical angles.
Hence, The correct relationships between the angles of the given rectangle are Angle BEA and Angle CED are vertical angles and equal 104°,
Angle ABE and Angle CBE are complementary angles,
Angle BEA and Angle AED are supplementary angles whose sum is 180°.
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31. Six men can do a piece of work in 8 hours.
How long will it take four men to complete the
same work?
A. 12hrs
B. 48hrs
C. 6hrs
D. 4hrs
Answer:
I think the answer is A. I hope that is right
6×8= 48
4×12=48
For the function, find f (−2), f (−0.5), and f (3).
f(x) = −5x + 2
Answer:
2
Step-by-step explanation:
becaue i siad so
A game of chance is played with a deck of 100 cards, numbered from 1 to 100. If 1 to 50 is drawn, the player wins $0. If 51 to 80 is
drawn, the player wins $7. If 81 to 100 is drawn, the player wins $9. If each play of the game cost $5, what is the expected payoff?
A)
-$3.90
B)
-$1.10
C)
$1.10
D)
$3.90
Answer: -$1.10
Step-by-step explanation:
Expected value=(0)50/100+(7)30/100+(9)20/100= 3.90-5= -1.10
Prompt: A car is traveling down a highway at the constant speed, described by the equation “d=65t” , where “d” represents the distance, in miles, that the car travels at this speed in “t” hours.
Question 1:
1. What does 65 tell us in this situation?
a. The car travels 65 miles in 1 hour.
b. The constant of proportionality is 65 miles per hour.
c. The car traveled a total of 65 miles
d. The car is traveling 65 miles per hour.
—————————————————————
Question 2:
2. How many miles does the car travel in 1.5 hours?
The car travels □ miles in 1.5 hours.
—————————————————————
Question 3:
3. How long does it take the car to travel 26 miles at this speed?
“Type your response in the down below”
Please Help!
Answer:
1) d
2) 97.5 miles
3)I am unsure on
Step-by-step explanation:
1) d=65t means that it is moving 65 miles per that amount of time (in this case using mph)
2) you take your equation "d=65t" and fill in your time (1.5) 65(1.5)=97.5
3) I don't know but possibly 2.5 minutes? (65/25) but I'm not sure I'm sorry
Look at image please help me asap
Answer: [tex]b^2[/tex]
You can write this as b^2
===================================================
Work Shown:
[tex]c = \frac{(ab^5)^{1/2}}{(ab)^{1/2}}\\\\c = \left(\frac{ab^5}{ab}\right)^{1/2}\\\\c = \left(b^4\right)^{1/2}\\\\c = b^{4*1/2}\\\\c = b^{2}\\\\[/tex]
Fifty less than five times a number is one hundred. What is this number?
Answer:
-10 :)
Hey champ! Here's the 'splination!
equation: 50-5x=100
50=-5x. (subtract 50 from both sides)
-10=x (divide both sides by -5)
What is the unit rate $8.99 for 8 lbs
Answer:
$1.12
Step-by-step explanation:
Divide.
8.99 / 8 = 1.12375
Round to the nearest cent if necessary.
1.12375 → 1.12
Best of Luck!
A tank initially contains 50 gallons of brine, with 30 pounds of salt in solution. Water runs into the tank at 6 gallons per minute and the well-stirred solution runs out at 5 gallons per minute. How long will it be until there are 25 pounds of salt in the tank?The amount of time until 25 pounds of salt remain in the tank is " ? " minutes.Set up a differential equation and separate variables.
Answer:
1.857 minutes
Step-by-step explanation:
From the given information:
Consider the amount of salt present in the tank as x(t) at a given time (t); &
The volume of the solution = V(t)
At t = 0 i.e. (at initial conditions) x(0) = 30; and V(0) = 50
However, the overall increase taken place for 1 gallon per minute is:
V(t) = 50 + t
The amount of salt x(t) at any given point for time (t) is;
[tex]\dfrac{x(t)}{V(t)}= \dfrac{x(t)}{50+t}[/tex]
After 5 gallons of solution exit per minute; the concentration of the salt solution changes at:
[tex]\dfrac{dx(t)}{dt}= -\dfrac{5x(t)}{50+t}[/tex]
Taking the integral of what we have above, we get:
In x(t) = - 5 In(t + 50) + In (C)
In x(t) = In (t+ 50)⁻⁵ + In (C)
In x(t) = In C ( t + 50)⁻⁵
x(t) = C(t + 50)⁻⁵ (General solution)
To estimate the required solution; we apply the initial conditions x(0) = 30;
Thus;
x(0) = C(50)⁻⁵ = 30
⇒ C = 30 × 50⁵
Hence; x(t) = 30 × 50⁵ × (t + 50)⁻⁵
The above expression can be re-written as:
[tex]x(t) = 25 \implies 30 \times \bigg ( \dfrac{50}{t+50} \bigg ) ^5= 25[/tex]
i.e.
[tex]\bigg ( \dfrac{50}{t+50} \bigg ) ^5= \dfrac{25}{30}[/tex]
[tex]\dfrac{50}{t+50}= \bigg ( \dfrac{25}{30}\bigg) ^{\dfrac{1}{5}}[/tex]
[tex]\dfrac{50}{t+50}= 0.964192504[/tex]
[tex]{50}= 0.964192504(t+50)[/tex]
50 = 0.964192504t + 48.2096252
50 - 48.2096252 = 0.964192504t
1.7903748 = 0.964192504t
t = 1.7903748 / 0.964192504
t ≅ 1.857 minutes
We can thereby conclude that the estimated time it will require until there are 25 pounds of salt in the tank is 1.857 minutes.
The lowest point on Earth is Challenger Deep, at the bottom of the Marina Trench: 35,797 feet below sea level. The highest point is the summit of Mount Everest: 29,029 feet above sea level. What is the distance, in feet, between Challenger Deep and Mount Everest? Explain your answer.
Answer:
Step-by-step explanation:
add the two together to get your answer of 64,826. the reason why you would is because the marina trench is represented as 35,797 with sea level being 0. so to find the difference you would do 29,029-(-35,797), or just add the two together
Answer:
100,623
Step-by-step explanation:
How would you go about solving for (3g - 25)(-5)?
Answer:
10t³ - 95t + 45
Step-by-step explanation:
Plug the g(t) and h(t) into the equation: (3(3t - 3) - 2(t³ - 5t)) (-5)Distribute 3 & -2 through the prentheses : (9t - 9 2t³ + 10t) (-5)Collect like terms : (19t - 9 - 2t³) (-5)Distrubute -5 through the parentheses: -95t + 45 + 10t³Use the commutative property to reorder the terms : 10t³ - 95t + 45
Solution : 10t³ - 95t + 45
Mrs lane took a survey of the types of pants her students were wearing. She collected the data of the types of pants her students were wearing, what percent of her students were wearing shorts? 14 were wearing jeans, 9 were wearing shorts, and 2 were wearing capris
Answer:
36%
Step-by-step explanation:
14+9+2=25
and the questions wants to know how many were wearing shorts
soooooooooooooo
divide 9 by 25 and that is 0.36 which would be 36% out the 25 wearing shorts
a school newspaper pays $175 in set up fees and $2 per copy to print each issue What is the rate of change
ANSWER IT PLZ ITS DUE IN 5 MIN!11111
Answer:
y = -2x - 3
Step-by-step explanation:
2x + y = 3
y = -2x + 3
Parallel slope --> m = -2
y = mx + b
-5 = -2(1) + b
-5 = -2 + b
-3 = b
y = -2x - 3
Hope this helps!
What is the slope in the Y intercept of the line on the graph below
slope= -4, Y intercept = 1
slope =-4, Y intercept = 4
slope = -1/4, Y intercept = 1
slope = -1/4, Y intercept = 4
Answer:
just by looking at the graph you can see that the y int is one, so that eliminates two answers already. Then the slope is rise over run. (best thing to remember in math. rise over run) so pick two points. (0, 1) and (4,0) were the first ones i saw. to get from those two points you go from (0,1) over 4 (thats your run) and from there down 1 (thats your rise) to get to (0,4). You would then do rise over run (and because your rise goes down its negative) to get -1/4 as your slope. The answer is slope= -1/4, Y intercept = 1
Answer:what he said is true
Step-by-step explanation:
hope this helps
Isabella deposited $2000 in an account that pays 5% simple annual interest after one year how much interest will her investment pay
Answer:
100
Step-by-step explanation:
5% of 2000 is 100
In an effort to cut costs and improve profits, any US companies have been turning to outsourcing. In fact, according to Purchasing magazine, 54% of companies surveyed outsourced some part of their manufacturing process in the past two to three years. Suppose 555 of these companies are contacted.
A. What is the probability percentage that 338 or more companies outsourced some part of their manufacturing process in the past two or three years? Round the percent to two decimal places.
B. What is the probability percentage that 285 or more companies outsourced some part of their manufacturing process in the past two or three years? Round the percent to two decimal place.
C. What is the probability percentage that 48% or less of these companies outsourced some part of their manufacturing process in the past two or three years? Round the percent to tywo decimal places.
Answer:
Following are the solution to this question:
Step-by-step explanation:
Given:
[tex]\ Mean = 0.54 \times 555 \\[/tex]
[tex]= 299.7[/tex]
[tex]SD = 11.74[/tex]
In point a:
[tex]\to Z = \frac{(338 - 299.7)}{11.74}[/tex]
[tex]= \frac{(38.3)}{11.74}\\\\= 3.26[/tex]
[tex]\to P = 0.000557\\\\\to \% = 0.06 \%[/tex]
In point b:
[tex]\to Z = \frac{(285 - 299.7)}{11.74}[/tex]
[tex]= \frac{(-14.7)}{11.74}\\\\= -1.25\\[/tex]
[tex]\to P = 0.8944\\\\\to \% = 89.44 \%[/tex]
In point c:
[tex]\to 48\% \times 555 = 266.4\\\\\to Z = \frac{(266.4 - 299.7)}{11.74}\\\\[/tex]
[tex]= \frac{(-33.3)}{11.74}\\\\= -2.83[/tex]
[tex]\to P = 0.002256\\\\\to \% = 0.23 \%[/tex]
A local park is in the shape of a square. A map of the park is made with the scale of 1 inch to 200 feet. If one side of the park on the map is one foot long, how long is the side of the park in real life?
what is 1 2/3 + 5/7
Answer:
50/21 or 2 8/21
Step-by-step explanation:
What is the value of x in 2x -6
Answer:
2x+110°=180°
2x=70°
X=35°
Can I also have brainliest
Whoever answers gets brainlist!
Answer:
The answer is 3 to the power of 2= 9
Step-by-step explanation:
In the first round of a card game, niki scored 20 points. Then, she lost 10 points on one turn and a additional 25 points on her final turn. What’s niki’s final score?
11. Rob and two of his friends are digging
holes at Rob's house in order to plant some
new trees. The holes need to be at least 3 feet
14
deep. So far, Rob's hole is
5 feet, Sam's is
2.6 feet, and Tom's is 2 a feet. Who is the
closest to being finished?
Answer:
Tom
Step-by-step explanation:
Rob dug 2.8 feet, so he is the closest to being finished.
What is Digging?Digging is the process of removing material from a solid surface, typically soil or sand on the surface of the Earth, using an object like claws, hands, or tools. Digging is actually the combination of two processes: first, the surface is broken or cut, and second, the material that is present is removed and moved. This can be done in a single motion in a straightforward digging situation by breaking the surface with the digging instrument and instantly tossing the debris away from the hole or other structure being dug. Many different species of animals dig, either as a part of their burrowing behavior or to look for food or water below the surface of the ground.
According to the question,
The hole need to be at least 3 feet.
Rob dug 14/5 feet, which is 2.8 feet.
Sam dug 2.6 feet and,
Tom dug 2.1 feet.
Hence, Rob is the closest to being finished.
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If you help me I will give a brianlist
Answer:
4:6, 12:18
Step-by-step explanation:
i think this is correct