Answer:
Option C is the correct answer.
Step-by-step explanation:
Since a random number generator is used to select a single number between 1 and 28, inclusively;
For a fair decision to be made during the process, the number of persons in the set must be a divisor of 28.
Let's list the divisors of 28:
The divisors of 28 are {1, 2, 4, 7, 14, 28}
The only option that contains one of the divisors is option C which is 7.
A regular octagon has side lengths of 9 units. Each side of the octagon is
increased by 27 units. What are the perimeters of the original octagon
and new octagon?
Answer:
The perimeter of the original octagon is:
72 units.The perimeter of the new octagon is:
288 units.Step-by-step explanation:
When it is mentioned that an octagon is regular, it means that all its sides are equal, therefore, each side of the original octagon has a length of 9 units, considering the formula of the octagon's perimeter:
Perimeter of an octagon = 8 * length.By replacing you get:
Perimeter of the original octagon = 8 * 9 = 72 units.For the new octagon, it is mentioned that each side increases by 27 units, therefore:
New length = 27 + 9 = 36 units.Applying the formula of perimeter of an octagon with the new values we obtain:
Perimeter of the new octagon = 8 * 36 = 288 units.Final answer:
The perimeter of the original octagon is 72 units, while the perimeter of the new octagon is 288 units.
Explanation:
An octagon is a polygon with eight sides. Since each side of the regular octagon has a length of 9 units, the perimeter of the original octagon is 8 times the length of one side, which is 8 x 9 units = 72 units.
When each side of the octagon is increased by 27 units, the new length of each side becomes 9 + 27 units = 36 units. Therefore, the perimeter of the new octagon is 8 times the length of one side, which is 8 x 36 units = 288 units.
Joe deposits $3500 into a bank account that earns interest compounded continuously. If Joe's money
doubles in 9 years, what interest rate was used?
Answer: 8%.
Step-by-step explanation:
To find this answer, use the compounding interest rate formula, or an exponential function:
[tex]A = P(r)^t[/tex]
Where A is the amount of money after t years, using P (principal) dollars as the investment and r as the rate.
We are trying to solve for r, so substitute the correct values for the other three variables:
[tex]7000 = 3500(r)^9\\\\2 = r^9[/tex]
Solving for r, we find that r to the ninth power equals 2.
Simplifying this, r is equal to 2^(1/9), or 1.08~. The interest rate was 8 percent.
To find the interest rate, we can use the formula for compound interest compounded continuously and solve for the interest rate using logarithms. The interest rate used is approximately 7.76%.
Explanation:To find the interest rate, we can use the formula for compound interest compounded continuously: A = P * e^(rt), where A is the final amount, P is the principal amount, e is Euler's number (approximately 2.71828), r is the interest rate, and t is the time in years. In this case, we have A = 2P, P = $3500, and t = 9 years. Plugging in these values, we get 2P = P * e^(9r), which simplifies to 2 = e^(9r). Taking the natural logarithm of both sides, we get ln(2) = 9r.
Now, we can solve for r by dividing both sides of the equation by 9: r = ln(2) / 9. Using a calculator, we find that r is approximately 0.0776. Therefore, the interest rate used is approximately 7.76%.
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You are given 6 color cards: 1 red, 2 blue, 3 green. As you draw a card, YOU WILL KEEP IT. What is the probability of drawing a green card, green card, and finaly a yellow card?
Answer:
3/6, 2/5, 0/5
Step-by-step explanation:
A craftsman can sell 10 jewelry sets for $500 each. He knows
for each additional set he makes, the price of each set will decrease by $25. Hoy
many jewelry sets should he make if he wants to maximize his earnings?
jewelry sets
Answer:15
Step-by-step explanation:
Given
Craftsman sell 10 Jewelry set for $500 each
For each additional set he will decrease the price by $ 25
Suppose he sells n set over 10 set
Earning[tex]=\text{Price of each set}\times \text{no of set}[/tex]
Earning [tex]=(500-25n)(10+n)[/tex]
[tex]E=5000+500n-25n^2-250n[/tex]
differentiate to get the maximum value
[tex]\frac{dE}{dn}=-50n+250[/tex]
Equate [tex]\frac{dE}{dn}[/tex] to get maximum value
[tex]-50n+250=0[/tex]
[tex]n=\frac{250}{50}[/tex]
[tex]n=5[/tex]
Thus must sell 5 extra set to maximize its earnings.
Determine which equation is belongs to the graph of the limacon curve below.
[-5,5] by [-5,5]
We have been given graph of a limacon curve. We are asked to choose the equation that represents the given Limacon.
We can see that our given equation represents a cardiod. The equation of a vertical cardiod is in form [tex]r=a\pm a\cdot \text{sin}(\theta)[/tex] and equation of a horizontal cardiod is [tex]r=a\pm a\cdot \text{cos}(\theta)[/tex].
We can see that our given graph is a vertical cardiod, so its equation will be in form [tex]r=a\pm a\cdot \text{sin}(\theta)[/tex] .
The positive sign gives an upside-down cardiod and negative sign orients the cardiod upright.
Since our given graph is upright, so we will have a negative sign between 'a'.
Therefore, the equation [tex]r=2-2\cdot \text{sin}(\theta)[/tex] represents the given graph and option 'd' is the correct choice.
Answer:
C on edge 2022
Step-by-step explanation:
In which number is the dign1 one thourad times togethan
is in the number 1 VLT?
A)
75
192
9
4790
D)
7332
Answer:
1 kvolt = 1 volt =1kv = 1000v
so 1000x 1 volt = 1000kv
The numebr would be the 4th number from end.
Step-by-step explanation:
factorise 4p + 6pq
step by step
answer fully please, thank you.
Answer:
2p(2+3q)
Step-by-step explanation:
Find the Greatest Common Factor (GCF).
GCF = 2p2p
Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
2p(4p/2p + 6qp/2p)
simplify each term in parentheses.
2p(2+3q)
Your answer is 2p(2 + 3q).
First we can start by finding common factors in the coefficients, 4 and 6. 4 and 6 are both divisible by 2, so we can pull this out as our first factor:
2(2p + 3pq)
Now we can look for common factors regarding p and q. Both terms include p, but only one includes q, which means we can also pull the p out as another factor:
2p(2 + 3q)
The expression inside the parentheses cannot be factored anymore, so this is the final factorisation.
I hope this helps!
what type of triangle is abc
Answer:
Isosceles triangle.
Step-by-step explanation:
original price: $50
sale price: $40
percent discount:
Answer:
20 % of the original price
Step-by-step explanation:
1). 50 - 40 = 10 $
2). 10 / 50 = 20 %
Please help me with answer I need help now
Answer:
7 + 2, i cant see the full question so im not sure
Step-by-step explanation:
Jose sells 12 cars 8 months if this trend continues how many cars can he expect to sell in 29 months
Answer:
He can expect to sell 43 more cars.
Step-by-step explanation:
So far he has 1.5 cars per month 12/8=1.5
If he continues this for 29 months 29x1.5=43.5
He will sell 43 cars
Hope this helps :)
How many solutions does this linear system have?
y = y equals StartFraction 2 over 3 EndFraction x plus 2.x+ 2
6x – 4y = –10
one solution: (–0.6, –1.6)
one solution: (–0.6, 1.6)
no solution
infinite number of solutions
Answer:
one solution: (–0.6, 1.6)Step-by-step explanation:
Given the system of equation,
y = [tex]\frac{2x}{3}+2[/tex]...(1)
6x – 4y = –10 ...(2)
Substituting equation 1 into 2 we have;
6x - 4(2x/3 +2)= -10
6x -8x/3 -8 = -10
Multiplying through by 3;
18x-8x-24=-30
10x=-30+24
10x = -6
Dividing both sides by 10
10x/10 = -6/10
x = -0.6
Substituting x = -0.6 into equation 1 to get the value of y we have;
y = 2(-0.6)/3 + 2
y = -1.2/3 + 2
y = -0.4+2
y = 1.6
This shows that the linear equation has only one solution. The solution is
x = -0.6 and y = 1.6
Answer:
its b
Step-by-step explanation:
hope this helped
A laundry basket has 24 T-shirts In it 4 are navy 12 are red and the remaining or white what is the probability of randomly selecting a red shirt
The probability of randomly selecting a red shirt from a basket of 24 T-shirts, where 12 are red, is 1/2 or 50%.
Explanation:The probability of randomly selecting a red shirt from the laundry basket can be calculated by dividing the number of red shirts by the total number of shirts in the basket. Given there are 24 T-shirts in total and 12 are red, the probability P(red) is 12 divided by 24, which can be simplified.
Here is the calculation:
Total number of T-shirts: 24Number of red T-shirts: 12Probability of selecting a red T-shirt: P(red) = Number of red T-shirts / Total number of T-shirts = 12 / 24After simplifying, P(red) = 1/2 or 50%.
Nancy exercises for 3/4 hours each day for 6 days in a row. Altogether, how many hours does she exercise during 6 days?
Answer:
4 1/2
Step-by-step explanation:
3/4 =0.75
0.75*6 =4.5
4.5=4 1/2
Answer:
4 1/2 Hours is the amount she worked out
Step-by-step explanation:
3/4 = 45 min
45 x 6 = 270 min
270 ÷ 60 = 4.5 Hours
4.5 Hrs + 4 Hours 30 Min = 4 1/2
Helpppppppppppppppp !!!!!!!!!!!!!!!
Answer:
Should be $160
Step-by-step explanation:Ursula's grandfather gave her $20 to spend on new songs and games for her phone. Ursula has already spent $4.50 on new songs. If each game costs $1.75, how many games can Ursula buy without spending more than her grandfather gave her? Use the following inequality to solve the problem.
20≥4.50+1.75x
A
8
B
9
C
13
D
14
Answer:
A
Step-by-step explanation:
Take 20 and subtract 4.50. That leaves you with 15.5.
15.5 divided by 1.75 equals 8.
Hopes this helps! :)
Use a calculator to find the r-value of these data. Round the value to three
decimal places.
Answer:
The answer would be B- 0.953. I hope this helps you
Answer: b
Step-by-step explanation:
Jared got 90% on his assignment. There were 30 questions how many did he get right
Answer:
27
Step-by-step explanation:
easy 27 divided by 30
In order to find how many correct questions Jared answered, we'll need to find 90% of 30.
To find 90% of 30, we'll need to multiply.
90% x 30 = 27
Therefore, Jared answered 27 questions correctly.
Hope this helps! :)
I NEED HELP PLZ!!!! It’s important!
Answer: 24x^3 sqrt5x -4x^3 sqrt10x
Step-by-step explanation:
Show in the photo attached.
Which set of drivers are progressing at the same pace
I dont know anything about these set of drivers
Choose three types of taxes local governments may impose.
sales tax
personal property
real property
estate tax
Three types of taxes local governments may impose are Sales Tax , Personal Property and Real Property. Correct answer: A, B and C.
A sales tax is a consumption tax imposed by the government on the sale of goods and services. Personal property tax is levied annually against tangible personal property and due upon receipt of the tax bill.
Answer:
property tax
Step-by-step explanation:
:3
Solve for f(5).
f(x) = 2x - 4
f(5) = [?]
Answer & Explanation Included:
f(x)= 2x - 4
f(5)= 2(5) - 4
f(5)= 10 - 4
f(5)= 6
Answer: 16
Step-by-step explanation: f(x) = 2x - 4 means that if we put an x into our function, a 2x - 4 comes out.
So if we want to find f(5), we're putting a 5 into our function which means that a 2(5) - 4 comes out which simplifies to 10 - 4 or 6.
So f(5) = 6 or the value of the function at 5 equals 6.
A proportional relationship is represented by the equation 3x = 18y. If y = kx, where k is the
constant of proportionality, then what is the value of k?
NEED HELP ASAP!
Answer: 1/6
Step-by-step explanation:
3x = 18y
y = kx
where,
k = constant of proportionality
3x = 18y
Divide both side by 18
3x/18 = 18y/18
y = 1/6x
k = 1/6
Each of two urns contains green balls and red balls. Urn I contains 10 green balls and 14 red
balls. Urn II contains 4 green balls and 11 red balls. If a ball is drawn from each urn, what is
P(red and red)?
A.1/9
B.25/39
C.79/60
D.77/180
The probability of drawing a red ball from both urns is found by multiplying the probability of drawing a red ball from Urn I by the probability of drawing a red ball from Urn II. After simplification, the probability is [tex]\(\frac{77}{180}\)[/tex], which corresponds to answer choice D.
To calculate the probability of drawing a red ball from each of two urns, we must first determine the probability of drawing a red ball from Urn I, and then multiply that by the probability of drawing a red ball from Urn II. In Urn I, there are 14 red balls and a total of 24 balls (10 green + 14 red). So, the probability of drawing a red ball from Urn I is [tex]\(\frac{14}{24}\)[/tex].
In Urn II, there are 11 red balls and a total of 15 balls (4 green + 11 red). Hence, the probability of drawing a red ball from Urn II is [tex]\(\frac{11}{15}\)[/tex].
The joint probability of two independent events is the product of their individual probabilities, so to find the probability of drawing a red ball from both urns (P(red and red)), we multiply the two probabilities:
[tex]\(P(red \,\text{from Urn I}) \times P(red \,\text{from Urn II}) = \frac{14}{24} * \frac{11}{15}\)[/tex].
To simplify the calculation:
Simplify [tex]\(\frac{14}{24}\) to \(\frac{7}{12}\)[/tex].Multiply [tex]\(\frac{7}{12}\) by \(\frac{11}{15}\)[/tex].[tex]\(\frac{7}{12} \times \frac{11}{15} = \frac{77}{180}\)[/tex].Therefore, the correct answer is D. 77/180.
hiya! any help is appreciated!
The statue of Liberty stands on a 150 ft. pedestal. From a point 250 ft. from the base of the
pedestal, the angle of elevation to the top of Liberty's torch is 50°. Find the height of the Statue
of Liberty
how do i do it?
Answer:
148ft
Step-by-step explanation:
To solve this question, you'll have to imagine the statue makes a right angle triangle with the base since it has an angle of elevation from the base to the top of the torch.
Assuming the height from the pedestal to the top of the torch is y
The height of the statue is x
But we know the height of the pedestal = 150ft
The distance from the observer to the base of the pedestal = 250ft
And the angle of elevation = 50°
See attached document for better illustration.
Tanθ = opposite / adjacent
θ = 50°
Adjacent = 250
Opposite = y
Tan50 = t / 250
y = 50 × tan50
y = 50 × tan50
y = 50 × 1.1917
y = 297.925ft
The height of the statue from the base of the pedestal to the top of the torch is 297.925ft
The height of the statue = x
x = (height of the statue + height of the pedestal) - height of the pedestal
x = y - 150
x = 297.925 - 150
x = 147.925ft
Approximately 148ft
The height of the statue is 148ft
can anyone hknow number 2?
Answer:
n = y/(r+s)
Step-by-step explanation:
(rn+sn) / y = 1
Multiply each side by y
(rn+sn) / y *y= 1*y
rn+sn = y
Factor out n
n(r+s) = y
Divide each side by (r+s)
n(r+s) / (r+s) = y/(r+s)
n = y/(r+s)
Translate the given phrase into an algebraic expression and simplify if possible: the difference of 10 and -18
Answer:
28
Step-by-step explanation:
10 - (-18) = x
10+18 = x (two negatives make a positive)
28 = x
The result of the given algebraic statement is 28.
Algebraic expressionsThe statement "the difference of 10 and -18" can be translated into an algebraic expression as follows:
10 - (-18)
To simplify this expression, we can simplify the double negative to have a positive sign as shown:
10 - (-18) = 10 + 18
Adding the numbers, we get:
10 - (-18) = 28
Therefore, the algebraic expression simplifies to 28.
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A triangle has angles that measure 55°, 43°, and 82°. What kind of triangle is it?
A. obtuse
B. right
C. acute
Answer:
c. acute
Step-by-step explanation:
all angles are less than 90 degrees, so it is acute
How would you explain surface area and volume to a 6th grader who is just now learning about these concepts?
Answer:
Surface area:
The area on the surface of a shape, so the area of the faces of the square or the area of the faces of the triangle.
(how to solve: find the area of all faces(b*h) and add them up)
Volume: the amount you can fill in that specific shape? Like, filling up a bathtub, how much water can it hold? That's volume.
(how to solve: its different for each shape, but squares are (B*W*H = Volume or V))
-A friendly 8th grader :)