Final answer:
The difference between the circumferences of the outer and inner circles, given a diameter of 9m for the inner circle and an outer part thickness of 2m, is 4π m.
Explanation:
To find the difference between the circumferences of an outer circle and an inner circle, we first need to determine their respective radii and then apply the circumference formula C = 2πr.
The given diameter of the inner circle is 9m, hence its radius is 9m / 2 = 4.5m. The thickness of the outer part of the circle is 2m, so the radius of the outer circle is 4.5m + 2m = 6.5m.
The circumference of the inner circle is C_inner = 2π(4.5m) = 9π m, and the circumference of the outer circle is C_outer = 2π(6.5m) = 13π m.
The difference between the circumferences is therefore Couter - Cinner = 13π m - 9π m = 4π m.
A three-toed sloth has a top speed of 0.22 feet per second. A giant tortoise has a top speed of 2.992 inches per second. Convert both speeds to miles per hour, and determine which animal is faster.
The length of a rectangle is 8 cm greater than its width. Find the dimensions of the rectangle if its area is 105 square centimeters. (a) Write a polynomial equation that can be solved. (b) Solve the equation by factoring (input equation with binomials in this step). (c) State solution with units *
Answer:
105 = (w+8) *w
w = 7 cm
l = 15 cm
Step-by-step explanation:
Area of a rectangle is
A = l*w
l = w+8
105 = (w+8) *w
Distribute
105 = w^2 +8w
Subtract 105 from each side
105-105 = w^2 +8w -105
0 =w^2 +8w -105
Factor
What 2 number multiply to 105 and add to 8
15*-7 = -105
15-7 = 8
(w+15) (w-7) =0
Using the zero product property
w+15 =0 w-7 =0
w=-15 w=7
impossible
not negative
w =7
l = 15
Answer:
Width: w
Length: w + 8
w(w + 8) = 105
w² + 8w - 105 = 0
w² + 15w - 7w - 105 = 0
w(w + 15) - 7(w + 15) = 0
(w + 15)(w - 7) = 0
w = -15, 7
width = 7cm
length = 7+8 = 15cm
The discount store is having a big sale. Paper towels are two rolls for 1 dollar. Disposable diapers are 3 dollars a box. If Serena buys 2 rolls of paper towels and 2 boxes of diapers, how much change will she get from a 20-dollar bill?
Answer:
She would get $13 back.
Step-by-step explanation:
2 rolls: $1
A box of diapers: $3
She got 2 paper towels which she would get for a dollar.
2 boxes of diapers:
3 + 3 = 6
20 - 6 = 14
14 - 1 = 13
Feel free to let me know if you need more help! :)
Answer: She would get $13 back.
Nate ate x ounces of blackberries. Emily ate ⅓ more than that. Write an equation to represent how much Emily ate (y) compared to Nate (x).
Answer: y = x + 1/3
Step-by-step explanation:
Hi, to answer this question we have to write equations with the information given:
The amount of blackberries that each one ate:
Nate (x)= x ounces
Emily ate ⅓ more than that. So, we have to sum the amount eaten by Nate(x) and 1/3.
Mathematically speaking:
Emily (y) = Nate + 1/3
y = x + 1/3
Feel free to ask for more if needed or if you did not understand something.
A line passes through the point (-8,-2) and has a slope of -
Write an equation in slope-intercept form for this line.
Answer:
Step-by-step explanation:
hello :
the slope-intercept form is : y-(-2) = m(x-(-8)) when : m is the slope
Define negative integer. Give an example of a negative
integer and then give its opposite.
Answer:
integers that are less than 0
-4 and 4
Step-by-step explanation:
The formula for the circumference C of a circle with diameter d is C = xd. Write an expression to represent the circumference of the following circle
The circumference of a circle is calculated based on its diameter using the formula C = πd. Replace 'd' with the value of the circle's diameter to obtain an expression representing the circumference.
Explanation:The formula for the circumference C of a circle with a diameter d is given by C = πd, where π (Pi) is approximately 3.14. To write an expression to represent the circumference of a specific circle, simply replace the term 'd' with the actual diameter of the circle. For example, if the diameter of the circle is 10 units, then the expression for the circumference would be C = π * 10 or C = 3.14 * 10, hence the circumference C of the circle would be about 31.4 units.
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Find the similarity ratio and the ratio of perimeters for two regular octagons with areas of 18 in2 and50 in2
Answer:
3:5 (or 3/5)
Step-by-step explanation:
The ratio of area is equal to (ratio of perimeters)^2
That means...
(18:50) = (a:b)^2
This simplifies to:
(9:25) = (a:b)^2
Which means...
3:5 = a:b
A pyramid is? Help! Please
Answer:
I think it's the third one
Step-by-step explanation:
Answer:
It is C
Step-by-step explanation:
The graph of y=x3 is transformed as shown in the graph below. Which equation represents the transformed function
Answer:
y= -6x^3
Step-by-step explanation:
Look at the points on the graph and plug into the equations
when x = -1, y must equal 6
(-1)^3 = -1
(-1) x (-6) = 6
y= -6x^3, equation represents the transformed function.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Here, we have,
Look at the points on the graph and plug into the equations
when x = -1, y must equal 6
(-1)^3 = -1
(-1) x (-6) = 6
Hence, y= -6x^3, equation represents the transformed function.
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Factor the quadratic by checking factor pairs.
-15x2 – 21x + 18
-15x2 – 218 + 19 = -3
Answer:
-3(x + 2)(5x - 3)
Step-by-step explanation:
-15x² – 21x + 18
-3(5x² + 7x - 6)
-3[5x² + 10x - 3x - 6]
-3[5x(x + 2) - 3(x + 2)]
-3(x + 2)(5x - 3)
150 increased by 40%
Answer:
210
Step-by-step explanation:
Multiply 150 by 40% (0.4) and then add that to the initial value (150)
150x0.4=60
150+60=210
I did the math and it ended up being 210. You just take 40 percent of 150 and add it to 150.
Morgan babysits every Saturday. The equation d = 9.5h
represents how much she earns after h hours. Last week,
she also babysat on Friday and earned $63 for 6 hours.
Which statement is true?
A. Morgan earns the same amount per hour on Friday and Saturday.
B. Morgan’s hourly rate on Friday $12 per hour.
C. Morgan earns more money per hour on Friday.
D. Morgan earns more money per hour on Saturday.
Answer:
Morgan earns more money per hour on Friday.
Step-by-step explanation:
Using the equation d= 9.5h, we see that the hourly rate for Saturday is 9.5, which is $9.50.
On Friday, she babysits 6 hours and earns $63. This is an hourly rate of 63/6 = 10.5, or $10.50.
She earns more money on Friday.
The statement that is true is C. Morgan earns more money per hour on Friday.
From the information given, Morgan babysits every Saturday and the equation is given as d = 9.5hLast week, she also babysat on Friday and earned $63 for 6 hours. This means the rate will be 63/6 = $10.5Therefore, based on this, we can see that the rate on Friday is better.Therefore, Morgan earns more money per hour on Friday.
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four whole numbers are rounded to the nearest 10.the sum of the rounded numbers is 90.what is the maximum possible sum of the original four numbers?
Answer:
106
Step-by-step explanation:
numbers are 24, 24, 24, 34
24 + 24 + 24 + 34 = 106
What is the product of (3x-9) and 6x^2-2x+5? Write your answer in standard form.
a) Show your work.
b) Is the product of (3x-9) and 6x^2-2x+5 equal to the product of (9x-3) and 6x^2-2x+5? Explain your answer.
Answer:
The product of [tex]3x-9[/tex] and [tex]6x^2-2x+5[/tex] is [tex]18x^3 -60x^2 + 33x - 45[/tex]No, they are not equalStep-by-step explanation:
a. Given
[tex]3x-9[/tex] and [tex]6x^2-2x+5[/tex]
Required
Product
The solution is as follows
First, put both expression in different brackets
[tex](3x-9)(6x^2-2x+5)[/tex]
Expand [tex](6x^2-2x+5)[/tex] bracket by [tex](3x-9)[/tex]
To do that. we first multiply [tex](6x^2-2x+5)[/tex] by 3x then by -9. This is done as follows
[tex]3x (6x^2-2x+5) - 9(6x^2-2x+5)[/tex]
Now, we proceed to opening the bracket
[tex](3x * 6x^2-3x * 2x+3x *5) - (9* 6x^2-9* 2x+9* 5)[/tex]
[tex](18x^3 -6x^2+ 15x) - (54x^2 - 18x +45)[/tex]
Open both brackets
[tex]18x^3 -6x^2+ 15x -54x^2 + 18x -45[/tex]
Collect like terms
[tex]18x^3 -6x^2 -54x^2 + 15x + 18x -45[/tex]
[tex]18x^3 -60x^2 + 33x - 45[/tex]
Hence, the product of [tex]3x-9[/tex] and [tex]6x^2-2x+5[/tex] is [tex]18x^3 -60x^2 + 33x - 45[/tex]
b. Given
[tex]3x-9[/tex] and [tex]6x^2-2x+5[/tex][tex]9x-3[/tex] and [tex]6x^2-2x+5[/tex]Required
Are their products equal?
To check if they are equal or not, we find the product of both and compare the solutions
We've already solved for [tex]3x-9[/tex] and [tex]6x^2-2x+5[/tex] in the (a) part of this exercise, so we move to the product of [tex]9x-3[/tex] and [tex]6x^2-2x+5[/tex]
The solution is as follows
First, put both expression in different brackets
[tex](9x-3)(6x^2-2x+5)[/tex]
Expand [tex](6x^2-2x+5)[/tex] bracket by [tex](9x-3)[/tex]
To do that. we first multiply [tex](6x^2-2x+5)[/tex] by 9x then by -3. This is done as follows
[tex]9x (6x^2-2x+5) - 3(6x^2-2x+5)[/tex]
Now, we proceed to opening the bracket
[tex](9x * 6x^2 - 9x * 2x + 9x *5) - (3* 6x^2 - 3 * 2x + 3* 5)[/tex]
[tex](54x^3 - 18x^2+ 45x) - (18x^2 - 6x +15)[/tex]
Open both brackets
[tex]54x^3 - 18x^2+ 45x -18x^2 + 6x -15[/tex]
Collect like terms
[tex]54x^3 - 18x^2 -18x^2 + 45x + 6x -15[/tex]
[tex]54x^3 - 36x^2 + 51x -15[/tex]
Now, we compare both answers
Is
[tex]18x^3 -60x^2 + 33x - 45[/tex]
equal to
[tex]54x^3 - 36x^2 + 51x -15[/tex]
No, they're not.
Reason is that, for both expressions to be equal, we must have the same expression after expanding both of them
n the Present Value of an Ordinary Annuity formula, what does the n represent?
a.
nominal interest rate
c.
number of periods
b.
number of payments
d.
decimal number of percentage
update: got the answer... it is c.
Answer:
C, number of periods
Step-by-step explanation:
ed2022
Final answer:
The 'n' in the annuity formula stands for Option C. the total number of payments or periods, essential for calculating the present value of equally spaced payments over time.
Explanation:
The letter 'n' in the Present Value of an Ordinary Annuity formula represents the total number of payments or periods over which the payments are made. When calculating the present value of an annuity, the formula accounts for each payment being discounted by the interest rate per period. Therefore, the present value of an annuity is calculated by summing up the values of all the payments, each discounted back to their present value.
An example of using the formula could relate to calculating the present value of a series of fixed mortgage payments over time. If the monthly interest rate is 'r', and there are 'n' total payments (for instance, 360 payments for a 30-year mortgage), the present value would account for each payment by discounting it over the number of periods to reflect the time value of money.
56/15 as a decimal rounded to the nearest tenth
The decimal of 56/15 as rounded to the nearest tenth is 3.7.
What is division?It is the basic arithmetic operation, in which you are separating the number into some parts.
On dividing 56 /15 we get
56 / 15 = 3.7333333333333
The round nearest to5 is taken as value 1 and less than 5 is taken as value 0.
So, The round to the nearest tenth is 3.7
Therefore, 56/15 as a decimal rounded to the nearest tenth is 3.7.
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Final answer:
To convert 56/15 to a decimal and round to the nearest tenth, you divide 56 by 15 to get 3.7333 and then round it down to 3.7 since the hundredths place is less than 5.
Explanation:
The question is asking to convert the fraction 56/15 to a decimal and round it to the nearest tenth. To convert a fraction to a decimal, you need to divide the numerator by the denominator. In this case, divide 56 by 15. The decimal form of 56/15 is approximately 3.7333. When rounding this number to the nearest tenth, we look at the hundredths place, which is a 3. Since it's less than 5, we do not round up. Therefore, the decimal rounded to the nearest tenth is 3.7.
The following data set shows the number of children in each household in Cam's neighborhood. 0, 0, 2, 1, 2, 8, 3, 0, 0 What is the most frequent number of children in a household in Cam's neighborhood?
Answer:
Wouldn't it be 0 because its the most frequent number there
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
there are four 0's but the other's do not have that many.
What is the range of y=log2(x-6)
Answer:
All Real Numbers
Step-by-step explanation:
edg answer D
This is the correct answer.
Answer:
All Real Numbers
Step-by-step explanation:
Anyone knows celsius
so the answer is of option B
Free Brainliest for the correct answer!!!!
Step-by-step explanation: the 1st answer
Answer:
It’s 8 1/6
Step-by-step explanation:
Write the point-slope form of the equation of the line with a slope of - 2 and an x-intercept of - 1. Include your work in your final answer. Type your answer in the box provided to submit your solution.
A restaurant offers 10 appetizers and 12 main courses. In how many ways can a person order a two-course meal? Use the Fundamental Counting Principle with two groups of items.
Answer:
80 ways
Step-by-step explanation:
The first thing is to apply the Fundamental Counting Principle with two groups of items, in this case the multiplication rule is used.
In this case, what we should do is that, for every 1 main course there are 8 appetizers, but there are 10 main courses therefore:
8 * 10 = 80
There are 80 ways to combine appetizers and the main course
Final answer:
A person can order from a restaurant 120 different two-course meals using the Fundamental Counting Principle, as there are 10 appetizers and 12 main courses to choose from.
Explanation:
The question is asking how many different two-course meals can be ordered if a restaurant offers 10 appetizers and 12 main courses. According to the Fundamental Counting Principle, if there are separate events and the first event can occur in 'm' ways and the second in 'n' ways, then the events together can occur in a total of m x n ways.
Using this principle:
Number of ways to select an appetizer = 10
Number of ways to select a main course = 12
Therefore, the total number of two-course meal combinations = 10 appetizers x 12 main courses = 120 combinations
So, a person can order 120 different two-course meals from this restaurant.
The two isosceles triangles are similar.
Answer:79
Step-by-step explanation:
Since a triangle has a total of 180 degrees in the interior, you can subtract 22 from 180 to get 158.Because the triangle is isosceles, the 2 remaining angles have the same measure. All you need to do now is to divide 158 by 2.
You get 59.
Jim and sue both take a driving test. the probability that Jim will pass the driving test is 0.7. The probability that Sue will pass the driving test is 0.6.
a) work out the probability that both Jim and Sue will pass the driving test.
b) work out the probability that only one of them will pass the driving test.
please help
Answer:
the above images shows the answer to the question
The probability that both Jim and Sue will pass the driving test is 0.42. The probability that only one of them (either Jim or Sue) will pass the driving test is 0.46.
Explanation:This question falls under probability in Mathematics. To solve for these probabilities, we multiply the individual probabilities together.
a) The probability that both Jim and Sue will pass the driving test is found by multiplying the two probabilities together: 0.7 (Jim's probability) * 0.6 (Sue's probability) = 0.42. So, the probability that both will pass is 0.42.
b) The probability that only one of them will pass the driving test is found by adding the probability of the two independent events: Jim passes and Sue fails, or Sue passes and Jim fails. Jim passing and Sue failing would be 0.7 * (1 - 0.6) = 0.28. Sue passing and Jim failing would be 0.6 * (1 - 0.7) = 0.18. Adding these together, the probability that only one of them will pass is 0.28 + 0.18 = 0.46.
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James says that all numbers have
an even number of factors.
Is he correct?
Yes or no and why
Answer:
No
Step-by-step explanation:
B cause only numbers that have a perfect square are even number of factors.
For example
[tex]25 = 5 .1.25[/tex]
But,
[tex]16 = 1 .2.16.8.4[/tex]
Hence, 16's number of factors is more than 25
Brainliest would be appreciated :))
Pls need help ASAP! (easy geometry)
Answer:
plz give branliest
A
C
E
Are correct
Step-by-step explanation:
so if they are diagonals,
Consider the figure below. What is the perimeter of the figure?
Answer:
Not an answer but this is the figure to anyone who's nice enough to help :)
Step-by-step explanation:
What is the distance between the points (−3, 5) and (−3, −9)?
Answer: The distance between (−3, 5) and (−3, −9) is 14 units.
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
Just add the the numbers from the Y-AXIS and, add them together the numbers from the Y-AXIS are 9 and 5.
9+5=14
Some help please?
Which polynomial does this sum of tiles represent?
Answer:
B
Step-by-step explanation:
Simplify the equations into standard form
(2x^2+x+3) + (x^2+3x+2)
Then add
3x^2+4x+5