[tex]\left(\dfrac{5}{n+1}\right) \left( \dfrac{n+1}{n+3} \right)\\\\\\=\dfrac{5(n+1)}{(n+1)(n+3)} \\\\\\=\dfrac{5}{n+3}[/tex]
The profit at a chocolate shop can be represented using the function f(x)=3x−95, where x is the number of chocolate truffles sold each day. What is the slope and what does it represent?
Can someone explain how to do this.
. At a certain airport, 75% of the flights arrive on time. A sample of 10 flights is studied. a. Find the probability that all 10 of the flights were on time.
Answer:
0.5256
Step-by-step explanation:
X ~ B(10,0.75)
q = 1 - 0.75 = 0.25
2/7 converted into a decimal then rounded to 3 decimal places.
Answer:
0.286
Step-by-step explanation:
The sum of the speed of two trains is 725.6miles per hour. If the speed of the first train is 6.4 mph faster than that of the second train find the speeds of each
Step-by-step explanation:
change it in meter and solve it
Find the sum of 8080,8928 and 7005
Answer:
80,815,933
Step-by-step explanation:
7. Find the length of AB
please answer will mark brainelist :)
Answer:
A) 17 m B) 20.8 m
Step-by-step explanation:
I cannot mark on the image but you can find the length of A to the bottom of the shape by subtracting 26-11
26-11 = 15
I will label the triangle as ABC (AB the length we trying to find, BC is 15 *it is angle B to the intercept of A and the bottom of the shape, AC is 8 because it is parallel to the given length 8)
AB is the hypotenuse
We can use the pythagorean theorem to find length AB (a^2 + b^2 = c^2)
a and b is the legs which is 8 and 15
8^2 + 15^2 = AB^2
64 + 225 = AB^2
289 = AB^2
√289 = AB (to undo a square, you use square roots)
√289 = 17
AB = 17 m
Now we need to find the hypotenuse of AC
the same thing, we did for problem A, use the pythagorean theorem
17^2 + 12^2 = AC^2
289 + 144 = AC^2
433 = AC^2
√433 = AC
√433 is about 20.808...
round to the tenth as stated in the directions
AC = 20.8 m
Write an explanation to help your friend understand why the expression 0.45x represents decreasing x by 55%.
Need the answer please and thank you!
Answer:
A variable is a letter that is used to represent a number. For instance, in this problem the variable x represents an unknown number that will equal 5 when added to 2.
Step-by-step explanation:
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
x - (55/100)x = 0.45x
The decreasing x by 55% is 0.45x
What is a percentage?
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Decreasing x by 55%.
This can be written as,
= x - (55/100)x
= x - 0.55x
= 0.45x
Thus,
The decreasing x by 55% is 0.45x
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method
Solve the problem.
22) Find the area of the skating rink. Round to the nearest tenth.
36 ft
The rectangle
9 ft
36 X 9
平
6)9:36
19.36 -762
Step-by-step explanation:
the rink is a combination of a rectangle and 2 half-circles.
so, we need the areas of the rectangle and a full circle and add these 2 values.
the survivability is a little bit unclear. are the 9 ft the length of the arrow, or the whole width of the area ?
let's assume it is the first.
then the 9ft are the radius of the half-circles, and the width of the ice area is then the diameter of the circles and therefore twice the radius. 2×9 = 18ft.
the rectangle is simple :
Ar = 36×18 = 648 ft²
the formula for the area of a circle is
Ac = pi×r² = pi×9² = pi×81 = 254.4690049...ft²
this is rounded 254.5 ft²
as total area we have
648 + 254.5 = 902.5 ft²
Find the length of the hypotenuse, side c, of a right triangle with legs of length a = 4 and b = 5. Use a calculator to estimate the
square root to one decimal place.
answer:
6.4
Step-by-step explanation:
4^2+5^2=c^2
16+25
square root of 41
c^2=6.4
Find x, y, and z such that x³+y³+z³
Answer:
x= -y-z
y= -x-z
z= -x-y
i think this is it
Answer:
complete the question pls
Step-by-step explanation:
A triangle has side lengths of (5k - 7) centimeters, (k - 4) centimeters, and
(3m - 9) centimeters. Which expression represents the perimeter, in centimeters,
of the triangle?
Answer:
-6m and -6k
Step-by-step explanation:
(5k - 7) = -2k (k - 4) = -4k + -2k = -6k. (3m - 9) = -6m.
Expression 6k + 3m - 20 represents the perimeter, in centimeters, of the triangle which has side lengths of (5k - 7) centimeters, (k - 4) centimeters, and (3m - 9) centimeters.
1st side length = 5k - 7 centimeters
2nd side length = k - 4 centimeters
3rd side length = 3m - 9 centimeters
Now, the perimeter of a triangle is the sum of its three sides.
So, the expression representing the perimeter of the triangle would be the sum of these side lengths:
Perimeter = (5k - 7) + (k - 4) + (3m - 9)
Further, simplifying the expression by combining like terms:
Perimeter = 5k + k + 3m - 7 - 4 - 9
Perimeter = 6k + 3m - 20
So, the expression that represents the perimeter of the triangle is (6k + 3m - 20) centimeters.
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Can someone please walk me through these 2 problems? I'm using the formula that the problem states but I have to be going wrong somewhere because all of my answers have been incorrect. The correct answers are below, but I have no idea how to get to them.
35: -13 - 34j volts
37: 28 + 57j volts
[tex]\boxed{35}~~ \begin{cases} I=2-7j\\ Z=4-3j \end{cases}\implies E=(2-7j)(4-3j) \\\\\\ \begin{array}{rllll} 4-3j\\ \times ~\hfill 2\\[-0.5em] \hrulefill\\ 8-6j \end{array}~~+ ~~ \begin{array}{rllll} 4-3j\\ \times ~\hfill -7j\\[-0.5em] \hrulefill\\ -28j+21j^2 \end{array}\qquad \implies 8-6j-28j+21j^2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill E=21j^2-34j+8~\hfill[/tex]
[tex]\boxed{36}~~ \begin{cases} I=3+10j\\ Z=6-j \end{cases}\implies E=(3+10j)(6-j) \\\\\\ \begin{array}{rllll} 6-j\\ \times ~\hfill 3\\[-0.5em] \hrulefill\\ 18-3j \end{array}~~+ ~~ \begin{array}{rllll} 6-j\\ \times ~\hfill 10j\\[-0.5em] \hrulefill\\ 60j-10j^2 \end{array}\qquad \implies 18-3j+60j-10j^2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill E=-10j^2+57j+18~\hfill[/tex]
round to the nearest hundred 104,549 help 6th
grade
Plsss helppppppp tyyyysmmmm
Answer:
Step-by-step explanation:
x = 180 - 117 = 63°
y = 360 - 63 - 86 - 98 = 113°
Sum of angles along a line about a point on the line is 180°
Sum of internal angles on a quadrilateral is 360°
What is the value of the expression 4.2(x−y)4 , when x = 12 and y = 5.6 as a decimal?
Answer:
6.72
Step-by-step explanation:
Help help help help help help help help help
Answer:
(-1,1)
Step-by-step explanation:
Im pretty sure the answer to A'' would be the inverse of A, as the triangle was mirrored on the opposite quadrant of the graph. (The inverse or opposite of (1,-1) would be (-1,1) ).
Hope this helped!
Which of the following statements is most correct? Select one:
a. Other things equal, the higher the dividends, the lower the stock price.
b. Other things equal, the investment holding period does not affect the stock price.
c. Other things equal, the higher the required rate of return, the higher the stock price. d. Other things equal, the higher the dividend growth rate, the lower the stock price.
e. Other things equal, the lower the market value of debt, the lower the value of equity.
Answer:a
Step-by-step explanation:
the answer is a because it is
Determine the x-intercept for 3x + 2y = 14,
A)
(7,0)
B)
(0,7)
C)
2,0)
D)
(0,14
Answer:
X-intercept: [tex](\frac{14}{3}, 0)[/tex].
Y-intercept: (0, 7) ⇒ Option B.
Step-by-step explanation:
I'm not certain whether the question asks for either the x-intercept or the y-intercept, but I will provide the answers for both since none of the given options matches the coordinates of the x-intercept.
X-intercept:The x-intercept is the point on the graph where it crosses the x-axis, with coordinates of (a, 0). The x-intercept is the value of x when y = 0.
Given the linear equation in standard form, 3x + 2y = 14, set y = 0 to solve for the x-intercept:
3x + 2y = 14
3x + 2(0) = 14
3x + 0 = 14
3x = 14
Divide both sides by 3 to solve for x:
[tex]\frac{3x}{3} = \frac{14}{3}[/tex]
[tex]x = \frac{14}{3}[/tex]
Therefore, the x-intercept is [tex](\frac{14}{3}, 0)[/tex]. None of the given option matches the value of the x-intercept.
Y-intercept:The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). It is the value of y when x = 0.
Set x = 0, and substitute into the given equation.
3x + 2y = 14
3(0) + 2y = 14
0 + 2y = 14
2y = 14
Divide both sides by 2 to solve for y:
[tex]\frac{2y}{2} = \frac{14}{2}[/tex]
y = 7
Therefore, the y-intercept is (0, 7), which matches Option B.
7.
V= lwh for w
What’s the explanation
Answer:
w=[tex]\frac{V}{lh}[/tex]
Step-by-step explanation:
just divide lh from both sides
In a particular country, 3% of the population is HIV positive. A test for HIV correctly
diagnoses 95% of those who have the condition, but incorrectly diagnoses 4% of those
who are not HIV positive as being HIV positive. A patient obtains a positive test result,
apparently indicating the presence of HIV. Determine the probability that the patient
really is HIV positive.
Using conditional probability, it is found that there is a 0.4235 = 42.35% probability that the patient really is HIV positive.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happeningIn this problem:
Event A: positive test.Event B: HIV positive.The percentages involving a positive test are:
95% of 3%(positive)4% of 100 - 3 = 97%(not positive).Hence:
[tex]P(A) = 0.95(0.03) + 0.04(0.97) = 0.0673[/tex]
The probability of both having a positive test and being HIV positive is:
[tex]P(A \cap B) = 0.95(0.03)[/tex]
Then, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.95(0.03)}{0.0673} = 0.4235[/tex]
0.4235 = 42.35% probability that the patient really is HIV positive.
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!PLEASE ANSWER ASAP! THANK YOU IN ADVANCE!
mrs. piggiewinkle knows how to use texting, instant messenger, emailing, calling, and mailing letters to communicate with her students. she must select 2 methods of communication out of the 5 to send her students an important message. in how many ways can choose the communication methods?
Answer:
Step-by-step explanation:
She must write an email to the new employees explaining how to access documents that need editing and what to do with new versions of the documents.
Answer: 20 ways
Step-by-step explanation: I believe that you would need to use permutation, so:
5P2 = 20
Pls help me pls dont answer if you dont know
Answer:
the answer is 147
Step-by-step explanation:
first you do 3.5cm times 84cm which is 294cm
then you do 294cm divided by 2 which is 147cm
the reason why you divide by 2 is because parallelograms like the triangle can be also halved into 2 separate triangles!!
hope this helped <3
Please help me I beg you I beg pms pls pls pls pls pls
A water tank has volume of 300 m3. If the length and width of the tank is 5 m and 300 cm, find the height of the tank.
Answer:
volume=300m3
length=5m
width=300cm=300/100=3m
To find: height of tank .
so,
volume=l×b×h
300=5×3×h
300/15=h
finally,h=20m
Find the solution to the system of equations.
You can use the interactive graph below to find the solution
- 72 - 2y = 14
ALE
са
6x + 6y = 18
AS
y =
JO
y
7
AS
6
5
4
3
2
Со
+2
1 2 3 4 5 6 7
-7-6-5-4-3-2
SA
Pro
Do noble
9514 1404 393
Answer:
x = -4y = 7Step-by-step explanation:
It looks like your interactive graphing tool needs you to plot some points on each of the lines. For these lines, it is convenient to use the x- and y-intercepts. Each intercept can be found by dividing the constant by the coefficient of the variable.
-7x -2y = 14
The x-intercept is 14/-7 = -2. Plot (-2, 0) on the x-axis.
The y-intercept is 14/-2 = -7. Plot (0, -7) on the y-axis.
6x +6y = 18
The x-intercept is 18/6 = 3. Plot (3, 0) on the x-axis.
The y-intercept is 18/6 = 3. Plot (0, 3) on the y-axis.
__
The point of intersection of the two lines is the solution: (x, y) = (-4, 7).
what is the domain and range?
The following section is a statement from the rental agreement Tim signed when he rented his car this past weekend.
"Upon checkout, the fuel level of the vehicle will be determined by turning the vehicle on and visually inspecting the fuel gauge. The approximate fuel level will be recorded on the Check-Out sheet and verified with initials by the vehicle Renter. One copy of the Check-Out sheet will be given to the customer. Another copy will be kept with the on-site records of the vehicle.
"The rented vehicle must be returned with a minimum fuel level the same as that indicated on the Check-Out sheet. A vehicle returned with a fuel level less than the approximate level indicated on the Check-Out sheet will be completely refueled with on-site pumps. The price of the fuel used to refuel the vehicle will be added to the Renter's total charge at a cost of $4.50 per gallon plus a $5.00 refueling charge."
Tim forgot to refuel the vehicle when he returned it. His Check-Out sheet indicates that the vehicle had about 1/2 of a tank left. The tanks is now nearly empty.
If it takes 11.75 gallons of gas to refuel the car Tim rented, how much extra should he expect to pay because he forgot to get gas?
a.
$26.44
b.
$31.44
c.
$52.88
d.
$57.88
Answer: D
Step-by-step explanation:
Tim should expect to pay an extra $52.88 because he forgot to refuel the car. option D is correct.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The car that Tim rented needed 11.75 gallons of gas to refill to the same fuel level as indicated on the Check-Out sheet.
Since the rental agency charges $4.50 per gallon of gas plus a $5.00 refueling charge, the cost of refueling the car will be:
11.75 gallons x $4.50/gallon + $5.00
= $57.88
Therefore, Tim should expect to pay an extra $57.88 because he forgot to refuel the car. The correct answer is (d).
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plssssssssssss answer for brainiest
Answer:
E = 120
F = 60
G = 120
H = 60
Step-by-step explanation:
A company borrows $50,000 for 8 years at a simple interest rate of 13.5%. Find the interest paid on the loan and the total amount paid
The interest paid on the loan is $
The total amount paid is $
Answer:
13.5%×50000=6750
this is interest paid on loan 6750
50000+6750=56750
The total amount paid
Each square below represents one whole …. What percent is represented by the shaded area?
Answer:
50%
Step-by-step explanation:
The diagonal line divides the square in half
I hope this help you