Answer:
Rs 200
Step-by-step explanation:
100/104×Rs 208
Rs 200
S.P = 208
4%×208=8.32
208-8.38=199.68
Therefore, C.P = ₹199.68
so approximately C.P = ₹200
Find the exact length of side a
select a,b,c or d from the pictures, please help!
Answer:
D. 2√3Step-by-step explanation:
The given triangle is right because the side adjacent to 60° angle is half the length of the hypotenuse.
Side a = BC is opposite to ange A, its measure is:
BC/AC = √3BC = AC√3BC = 2√3Correct choice is D
Answer:
[tex]a=2\sqrt{3}[/tex]
Step-by-step explanation:
Side a is the side opposite angle A.
Side b is the side opposite angle B.
Side c is the side opposite angle C.
We have been given the lengths of 2 sides and the included angle.
Therefore, to find side a use the cosine rule.
Cosine rule
[tex]a^2=b^2+c^2-2bc \cos A[/tex]
where:
a, b and c are the sidesA is the angle opposite side aFrom inspection of the triangle:
side b = 2side c = 4angle A = 60°Substitute the given values into the formula and solve for a:
[tex]\implies a^2=b^2+c^2-2bc \cos A[/tex]
[tex]\implies a^2=2^2+4^2-2(2)(4) \cos 60^{\circ}[/tex]
[tex]\implies a^2=4+16-16\left(\dfrac{1}{2}\right)[/tex]
[tex]\implies a^2=4+16-8[/tex]
[tex]\implies a^2=12[/tex]
[tex]\implies a=\sqrt{12}[/tex]
[tex]\implies a=\sqrt{4 \cdot 3}[/tex]
[tex]\implies a=\sqrt{4}\sqrt{3}[/tex]
[tex]\implies a=2\sqrt{3}[/tex]
Therefore, the exact length of side a is 2√3.
A manufacturer of headphones determines that the cost per unit for a pair of headphones is $38 and that the fixed cost is $24,400. The selling price for the headphones is $99. Find the break-even point.
please help and show the work thank you.
Answer:
Solve the following equation
Step-by-step explanation:
x is the amount of headphones
38x = 99x + 24400
Find when both sides are equal, that is the break even
Evaluate the following limit, if it exists : limx→0 (12xe^x−12x) / (cos(5x)−1)
Answer:
[tex]\lim_{x \to 0} \frac{12xe^x-12x}{cos(5x)-1}=-\frac{24}{25}[/tex]
Step-by-step explanation:
Notice that [tex]\lim_{x \to 0} \frac{12xe^x-12x}{cos(5x)-1}=\frac{12(0)e^{0}-12(0)}{cos(5(0))-1}=\frac{0}{0}[/tex], which is in indeterminate form, so we must use L'Hôpital's rule which states that [tex]\lim_{x \to c} \frac{f(x)}{g(x)}=\lim_{x \to c} \frac{f'(x)}{g'(x)}[/tex]. Basically, we keep differentiating the numerator and denominator until we can plug the limit in without having any discontinuities:
[tex]\frac{12xe^x-12x}{cos(5x)-1}\\\\\frac{12xe^x+12e^x-12}{-5sin(5x)}\\ \\\frac{12xe^x+12e^x+12e^x}{-25cos(5x)}[/tex]
Now, plug in the limit and evaluate:
[tex]\frac{12(0)e^{0}+12e^{0}+12e^{0}}{-25cos(5(0))}\\ \\\frac{12+12}{-25cos(0)}\\ \\\frac{24}{-25}\\ \\-\frac{24}{25}[/tex]
Thus, [tex]\lim_{x \to 0} \frac{12xe^x-12x}{cos(5x)-1}=-\frac{24}{25}[/tex]
Given the data presented in the bar graph, which age group represents 25% of the people at the family reunion?
A) 10-19
B) 20-29
C) 30-39
D) 50-59
The age group that represents 25% of the people at the family reunion as displayed by the bar graph is: B. 20 - 29.
What is a Bar Graph?A bar graph can be described as a graphical representation of a data distribution usin bars/bins to display the frequency of a group or data points.
First, find the total number of people at the family reunion:
Total number of people = 8 + 10 + 19 + 15 + 5 + 13 + 3 + 5 = 78 people.
25% of 79 = 25/100 × 78 = 19.5
19.5 is closer to 19.
People in the age group 20 - 29 from the bar graph represents 19 people, therefore, the age group that represents 25% of the people at the family reunion as displayed by the bar graph is: B. 20 - 29.
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Answer: B
Step-by-step explanation: I took the test in K12
For which values of c does the quadratic equation x^2−2x+c=0 have two roots of one sign?
The equation x^2−2x+c=0 is an illustration of a quadratic equation
The value of c is 1
How to determine the value of c?The equation is given as:
x^2 -2x + c = 0
A quadratic equation is represented as:
ax^2 + bx+ c = 0
When the quadratic equation has two roots of one sign, the following equation is true
b^2 =4ac
So, we have:
(-2)^2 =4 * 1 * c
Evaluate the exponent and the product
4 = 4c
Divide both sides by 4
c= 1
Hence, the value of c is 1
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The answer to this problem is:
0<c<1
The average transaction at an automatic teller can be completed in six minutes and customers arrive at the average rate of one every ten minutes. On average, how many customers are there in the queue? a. 0.375 Customers b. 0.900 Customers c. 1.160 Customers d. 4.000 Customers
Answer:
Zero, based on the information provided.
Step-by-step explanation:
The output rate of the teller machine is (1 transaction/6 minutes). The input rate is (1 customer/10 minutes). This means that the machine completes a cycle faster than the customers arrive, on the average. I don't know how an average can be calculated without more information. If we assume customers arrive every 10 minutes, and no one screws up the machine, that there should be no waiting line. Is there more information about when the customers arrive? E.g., 50 arrive in the first hour the machine is open.
If the average transaction at an automatic teller can be completed in six minutes and customers arrive at the average rate of one every ten minutes. The average number of customers in the queue is: B. 0.900 customers.
What is the average number?M represent Markovian (memoryless) arrivals and service times
1 represents a single server.
Arrival rate (λ) is 1 customer every 10 minutes and the service rate (μ) is 1 customer every 6 minutes.
The formula to determine the average number of customers in the queue (Lq) is:
Lq = (λ^2) / (μ * (μ - λ))
Plugging in the values:
λ = 1/10
μ = 1/6
Lq = ((1/10)^2) / ((1/6) * ((1/6) - (1/10)))
Lq = (1/100) / ((1/6) * (10 - 6)/60))
Lq = (1/100) / ((1/6) * (4/60))
Lq = (1/100) / ((1/6) * (1/15))
Lq = (1/100) / (1/90)
Lq = (1/100) * (90/1)
Lq = 90/100
Lq = 0.9
Therefore, the correct option is B.
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n a certain country, the true probability of a baby being a girl is 0.467. Among the next four randomly selected births in the country, what is the probability that at least one of them is a boy?
Answer:
0.9524
Step-by-step explanation:
Since the probability of a baby being a girl is 0.467, then the probability of a baby being a boy is 1 - 0.467 = 0.533
By the Binomial Theorem, the probability of at least one baby out of four being a boy is 1 - (0.467)^4 = 1 - 0.0476 = 0.9524
Need help with math probelm if do 5 stars and brainly points
Step-by-step explanation:
let's first convert feet to inches
4 ft = 48 inches ( width )
6.5 ft = 78 inches ( length )
12.5 ft = 150 inches ( height )
each cube is 1/4 x 1/4 x 1/4
x-axis ( length )
78 ÷ 1/4 = 78 x 4 = 312 cubes
y-axis ( width )
48 x 4 = 192 cubes
z-axis ( height )
150 x 4 = 600 cubes
the total number of cubes fit in the closet is :
312 x 192 x 600 = 35,942,400 cubes
In 1992, South Dakota's population was 10 million. Since then, the population has grown by 1.4% each year. Based on this, when will the population reach 20 million?
Answer:
49.9 years or 50 years later. At year : 2042Explanation:
use compound interest formula: [tex]\sf \boxed{ \sf P ( \sf 1 + \dfrac{r}{100} )^n}[/tex]
[tex]\rightarrow \s \sf 10( 1 + \dfrac{1.4}{100} )^n = 20[/tex]
[tex]\rightarrow \sf ( 1.014) ^n = 2[/tex]
[tex]\rightarrow \sf n( ln( 1.014) ) = ln(2)[/tex]
[tex]\rightarrow\sf n = \dfrac{ln(2)}{ln( 1.014)}[/tex]
[tex]\rightarrow\sf n = 49.8563 \ years[/tex]
Answer:
General form of an exponential equation: [tex]y=ab^x[/tex]
where:
a is initial valueb is the base (or growth factor in decimal form)x is the independent variabley is the dependent variableIf b > 1 then it is an increasing functionIf 0 < b < 1 then it is a decreasing functionAlso b ≠ 0Given information:
initial population = 10 milliongrowth rate = 1.4% each year⇒ growth factor = 100% + 1.4% = 101.4% = 1.014
Inputting these values into the equation:
[tex]\implies y=10(1.014)^x[/tex]
where y is the population (in millions) and x is the number of years since 1992
Now all we need to do is set y = 20 and solve for x:
[tex]\implies 10(1.014)^x=20[/tex]
[tex]\implies 1.014^x=2[/tex]
[tex]\implies \ln 1.014^x=\ln 2[/tex]
[tex]\implies x\ln 1.014=\ln 2[/tex]
[tex]\implies x=\dfrac{\ln 2}{\ln 1.014}[/tex]
[tex]\implies x=49.85628343...[/tex]
1992 + x = 2041.8562....
Therefore, the population will reach 20 million during 2041, so the population will reach 20 million by 2042.
In Exploration 5.4.2 Question 2, what conclusion can you make about the value of the derivative at
the maximum or minimum for a continuous function?
The value of the derivative at the maximum or minimum for a continuous function must be zero.
What happens with the derivative at the maximum of minimum?So, remember that the derivative at a given value gives the slope of a tangent line to the curve at that point.
Now, also remember that maximums or minimums are points where the behavior of the curve changes (it stops going up and starts going down or things like that).
If you draw the tangent line to these points, you will see that you end with horizontal lines. And the slope of a horizontal line is zero.
So we conclude that the value of the derivative at the maximum or minimum for a continuous function must be zero.
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What is the range of possible sizes for side x?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The value of third side should be lesser than the the sum of other two sides ~
[tex]\qquad \sf \dashrightarrow \:x < 2.8 + 2.8[/tex]
[tex]\qquad \sf \dashrightarrow \:x < 5.6[/tex]
and, value of third side should also be greater than the difference of other two sides ~
[tex]\qquad \sf \dashrightarrow \: x> 2.8 - 2.8[/tex]
[tex]\qquad \sf \dashrightarrow \:x > 0[/tex]
Now, combine the two inequalities, we will get ~
[tex]\qquad \sf \dashrightarrow \:0 < x < 5.6[/tex]
I hope you got the required Answer ~
Which pair of functions are inverses of each other?
Answer:
D
Step-by-step explanation:
f(x) = 10x - 5 → x = 10g(x) - 5 → x + 5 = 10g(x) →
g(x) = (x + 5)/10
Gabriella has the following winter accessories:
1 winter coat: black
2 hats: blue, purple
2 pairs of boots: black, brown
5 pairs of mittens: black, blue, purple, red, white
Find the probability of wearing the coat with the purple hat, black boots, and purple mittens.
Find the probability of wearing the coat with the purple hat,black boots,purple mittens?
Answer:
4/10 = 2/5
2/5 is thr probability of her wearing coat with purple hat, black boots and purple mittens
estimate the product 8.1 times 4.2
Answer:
Approximately 32
Step-by-step explanation:
8.1 is closest to 8
4.2 is closest to 4
Thus, you can estimate the product to be 8*4=32
The actual product is 8.1*4.2=34.02, so it's about 2 greater than the estimated product
How many units are there between point A (-3,80) and point B (-3,12)
Answer:
68 units
Step-by-step explanation:
Given:
Point A = (-3, 80)Point B = (-3, 12)As the x-values of points A and B are the same (x = -3), the line through points A and B is vertical.
Therefore, to find the distance between the two points, simply subtract the y-value of point B from the y-value of point A:
[tex]\sf distance=y_A-y_B=80-12=68 \ units[/tex]
3. A shirt in a store usually costs $15.99, but today it's on sale for
25% off. The clerk says you will save $4.50. Is that true?
4. A book that usually costs $12 is on sale for 25% off.
How much will it cost?
5. After you answer 60% of 150 math problems, how many do
you have left to do?
90
6. A pet store's shipment of tropical fish was delayed. Nearly
40% of the 1,350 fish died. About how many lived?
7. The shipment had 230 angelfish, which died in the same
proportion as the other kinds of fish. About how many
angelfish died?
8. A church youth group was collecting cans of food. Their goal
was 1,200 cans, but they exceeded their goal by 25%. How
many cans did they collect?
Step-by-step explanation:
3)
25% of 15.99=0.25×15.99=3.9975
Nope you will save about 4 dollars.
4)
12$ is 100% of its price
If there is a 25% discount, it will cost 75% of its original value.
75% of 12=0.75×12=9
It will cost 9 dollars
5)
You have 40% left of 150
so, 0.4(150)=60
You ANSWERED 90 but you still have 60 remaining.
6)
60% of 1350 lived since 40% died
0.6×1350=810
about 810 lived
7)
40% of the angelfish died
0.4×230=92
92 angelfish died
8)
The collected 125% of what they expected
1.25×1200=1500
They collected 1500 cans
HELPPPP big brains I need this urgently
Answer:
9 or 9 months (if you have to add units)
Step-by-step explanation:
Subtract 15 from his savings:
420-15 = $405
This is the amount left he has to pay the monthly membership
405/45 = 9
9 is the number of months
Answer:
9 months
Step-by-step explanation:
Set up and solve the equation 15 + 45x = 420. Begin by subtracting 15 from both sides. After paying 15 dollars for the deposit, He will have $405 dollars left. Divide both sides of the equation by 45. When you divide 405 by 45 that will tell you how many months the membership can be paid.
What is the area of this figure?
Answer:
35 cm²
Step-by-step explanation:
Area of the 2 triangles combined:
1/2 x 4 x 5 = 10
Area of the square:
5 x 5 = 25
10 + 25 = 35
4×4 or 4×5 perimeter times area
find the value of 85²-15² using the difference of two squares method
Answer:
[tex]7000[/tex]
Step-by-step explanation:
Recall the form of the difference of squares.
[tex]x^2 - y^2 = (x+y)(x-y)\\\\\\[/tex]
Now let's apply it to your numbers:
[tex]85^2 - 15^2 = (85 + 15)(85 - 15)[/tex]
Simplify:
[tex](100)(70) = 7000[/tex]
A house owner pays a property tax of $10 for every $1,000 of assessed property value. What is the tax for a home assessed at $150,000.
Tax the assesed home would increase the total amount paid
The tax of a home assesed at $150,000 is $1500
How to determine the tax amount?The given parameter can be represented using the following ratio:
Ratio = Tax : Amount
So, we have:
$10 : $1000 = Tax : $150000
Express as fraction
10/1000 = Tax/$150000
Multiply both sides by $150000
Tax = $1500
Hence, the tax of a home assesed at $150,000 is $1500
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solve ~
[tex]2x + 1 - 4x = 7x + 5[/tex]
don't spam .-.
thankyou ~
Answer:
[tex]x=-\frac{4}{9}[/tex]
Step-by-step explanation:
2x + 1 - 4x = 7x +5
First, take 7x to the left side.
2x + 1 - 4x - 7x = 5
Now take 1 to the right side.
2x - 4x - 7x = 5 - 1
Now combine like terms.
-2x - 7x = 4
-9x = 4
Now divide both sides by -9.
x = - 4/9
Answer:
2x+1-4x=7x+5
-->2x-4x-7x=5-1
-->-2x-12x=4
-->-9x=4
-->x=-4/9
-->x=-4/9
The value of A is .
The value of B is .
Answer:a=10 b=35
Step-by-step explanation:
1*8=8 1.25*8=10
1*28=28 1.25*28=35
eometry Part 4 - Lesson 1 Assessment - EDCP.MA004.D
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What is the area of a sector of a circle with a central angle of measure 180° and whose radius is 5
cm? Leave your answer in terms of I.
○
o
ле?
o com
35
O 2 cm
Answer: it would be 34
Step-by-step explanation:
Find the missing factor.______ x 7 = 2,800
A) 4
B) 40
C) 400
D) 4,000
Answer:
400
Step-by-step explanation:
[tex] \huge\mathbb\orange{ANSWER} [/tex]
[tex] \mathsf \purple{c) \: 400}[/tex]
Jessica has 300 cm³ of material. She uses 12.6 cm³ to make a right triangular prism. She wants to make a second prism that is a dilation of the first prism with a scale factor of 3. How much more material does Jessica need in order to make the second prism? Select from the drop-down menu to correctly complete the statement. Jessica needs an additional Choose... cm³ of material to make the second prism.
Answer:52.8
Step-by-step explanation:
Answer:
The answer is indeed 52.8
Step-by-step explanation:
Here is proof: I got the same answer.
255, 250, 245, ...
Find the 40th term.
Answer:
so here we minus 5 from 255 to get to 250 and we do it again to get to 245. for reaching the 40th term we should do it 39 times.
so, 255+ (-5) (39) = 255 - 195 = 60
which is our 40th term.
The 40th term of (255, 250, 245...) is 60.
What is arithmetic progression ?The difference between any two successive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. It also goes by the name Arithmetic Sequence. For instance, the natural number sequence 1, 2, 3, 4, 5, 6,... is an example of an arithmetic progression. It has a common difference of 1 between two succeeding terms (let's say 1 and 2). (2 -1). We can see that the common difference between two subsequent words will be equal to 2 in both the case of odd and even numbers.There are three distinct progression kinds. As follows:Mathematical Progress (AP)Graphical Progress (GP)Rhythmic Progress (HP)It is feasible to find a formula for the nth term for a certain kind of sequence called a progression. The most popular mathematical progression, with simple formulas, is the arithmetic progression.Calculations :
The formula to find the nth term = [tex]a_{n}[/tex] = -5n + 260
= [tex]a_{40}[/tex] x 5n = 260
= 260 - 200 = 60
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What is the frequency of the function f(x)?
f (x) = 2 cos (x) – 4
Enter your answer, in simplest fraction form, in the box.
Answer:
frequency = 1/(2π)
Step-by-step explanation:
The frequency of the function is found by comparing the argument of the cosine function to (2πfx), where f is the freuqency.
2πfx = x . . . . the argument of the cosine is x in f(x)=2cos(x) -4
2πf = 1 . . . . . . divide by x
f = 1/(2π) . . . . . the frequency of the function f(x)
what is the derivative and the slop of the tangent line of f(x)=3x+5 at (1,8)
Step-by-step explanation:
To find the derivative of
3x+5, apply sum rule
[tex] \frac{d}{dx}(3x + 5) = \frac{d}{dx} 3x + \frac{d}{dx} 5[/tex]
The derivative of
[tex] \frac{d}{dx} kx = k[/tex]
And
[tex] \frac{d}{dx} c = 0[/tex]
So we have
[tex] \frac{d}{dx} 3x + 5 = 3[/tex]
So the derivative of the function is 3,
Since linear equations have a constant slope, the slope at any point will be 3.
So the slope of the tangent line is 3.
?A bag contains red, blue, and green candies. Benjamin pour
out a handful and counted 10 red, 6 blue, and 14 green
candies. According to these ratios, if the bag contains a total of
400 candies, about how many of them are blue?
image Consider the graph of g(x) = x2 – 8x + 12. Identify the y-intercept, the vertex, and the zeros of the function.
Answer:
Below in bold.
Step-by-step explanation:
g(x) = x^2 – 8x + 12
Convert to vertex form:
g(x) = (x - 4)^2 - 16 + 12
g(x) = (x - 4)^2 - 4.
So the vertex is at (4, -4).
y-intercept (when x = 0) is ((0-4)^2 - 4 = 16 - 4
- that is (0, 12).
Zeros:
(x - 4)^2 - 4 = 0
(x - 4)^2 = 4
x - 4 = +/- 2
x = 2 + 4 = 6 or x = -2 + 4 = 2.
= 2, 6.