The length of the outer edge of any one piece of the circle is 3π inches.
The length of the outer edge of any one piece of the circle can be found by calculating the circumference of the circle and dividing it by the number of pieces.
The formula for the circumference of a circle is given by:
Circumference = π * diameter
Given that the diameter of the circle (and the pizza) is 12 inches, we can calculate the circumference as follows:
Circumference = π * 12
Circumference = 12π inches
Since the circle is cut into eight congruent pieces, we need to find the length of the outer edge of each piece. This can be found by dividing the circumference by 8:
Length of each piece = Circumference / 8
Length of each piece = (12π inches) / 8
Length of each piece = 3π inches
Therefore, the length of the outer edge of any one piece of the circle is 3π inches.
Learn more about length from
https://brainly.com/question/2217700
#SPJ11
Which of the points are solutions to the inequality? Check all that apply. (–3, 3) (–2, –2) (–1, 1) (0, 1) (2, 5)
Answer:
the CORRECT answers for this are B,D,E.
Step-by-step explanation:
just did it <3.
Answer:
B,D,E
Step-by-step explanation:
i just took the assignment and got it correct!
Simplify –(5x3 + x2) + 4(x3 – 3x2). Show your work.
Answer:
x^3 - 13x^2.
Step-by-step explanation:
–(5x3 + x2) + 4(x3 – 3x2) Removing the brackets:-
= -5x^3 - x^2 + 4x^3 - 12x^2
= -5x^3 + 4x^3 - x^2 - 12x^2
= x^3 - 13x^2.
Answer:
Step-by-step explanation:
-(5x³+x²)+4(x³-3x²)
=-5x³-x²+4x³-12x²
=-x³-13x²
Given mn, find the value of x.
Which represents the solution set of 5(x+5) <85?
X<12
Χ> 12
X< 16
Χ<16
Answer:
\(x<12\)
Step-by-step explanation:
\(5(x+5)<85\\\\5x+25<85\\\\5x<60\\\\x<12\)
Option A is correct, x<12 represents the solution set of 5(x+5) <85
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is 5(x+5) <85
We have to find the solution set of the given inequality
Five times of x plus five less than eight five.
Apply distributive property
5x+25<85
Subtract 25 from both sides
5x<85-25
5x<60
Divide both sides by 5
x<12
Hence, option A is correct, x<12 represents the solution set of 5(x+5) <85
To learn more on Inequality click:
https://brainly.com/question/28823603
#SPJ7
The cost price of a scooter is R15000 Uviwe paid 15% of the amount in cash and signed a hire purchase agreement to pay the balance 24equal monthly installments The interest rate is. 10%per annum
How much did he pay in cash?
What was the total amount he paid for the scooter?
The amount paid in cash is R2250 and the total amount he paid for the scooter is R17550.
How to calculate the amount?Cost price = R15000
Amount paid = 15% × R15000 = R2250
Therefore, the interest on the remaining amount will be:
= (12750 × 10 × 2)/100
= 2550
The total cost will be:
= 15000 + 2550
= 17550
Learn more about price on:
brainly.com/question/1153322
#SPJ1
A continuous random variable x is uniformly distributed on the interval [35, 45]. the probability that x is between 40 and 50 is:________
The probability that x is between 40 and 50 will be 0.5.
How to illustrate the probability?From the information, the continuous random variable x is uniformly distributed on the interval [35, 45].
The probability that x is between 40 and 50 will be:
(45 - 40)/(45 - 35)
= 5/10
= 0.5
Learn more about probability on:
brainly.com/question/24756209
#SPJ4
Prove that: \((a+b)^{-1} . (a^{-1} + b^{-1} ) = (ab)^{-1}\)
Step-by-step explanation:
\( \frac{1}{a + b} \times ( \frac{a + b}{ab}) = \frac{1}{ab} \)
Answer with step-by-step explanation:
\((a+b)^-^1*(a^-^1+b^-^1)=(ab)^-^1\)
First, convert these into positive indices.
\(\frac{1}{(a+b)} *(\frac{1}{a} +\frac{1}{b})=\frac{1}{ab}\)
And now, let us solve the left side.
\(\frac{1}{(a+b)} *(\frac{1}{a} +\frac{1}{b})\\\\\)
First, solve the brackets. That is add the fractions inside the brackets.
\(\frac{1}{(a+b)} *(\frac{1}{a} +\frac{1}{b})\\\\\frac{1}{(a+b)}*(\frac{1*b}{a*b} +\frac{1*a}{b*a})\\\\\frac{1}{(a+b)}*(\frac{b}{ab} +\frac{a}{ab})\\\\\frac{1}{(a+b)}*\frac{(a+b)}{ab}\)
Now multiply the fractions.
\(\frac{1}{ab}\)
So, it's clear that the left side equals the right side.
Left side = Right side
\(\frac{1}{ab}=\frac{1}{ab}\)
∴ \((a+b)^-^1*(a^-^1+b^-^1)=(ab)^-^1\)
the kutta-joukowski theorem, equation (3.140), was derived exactly for the case of the lifting cylinder. in section 3.16 it is stated without proof that equation (3.140) also applies in general to a two-dimensional body of arbitrary shape. although this general result can be proven mathematically, it also can be accepted by making a physical argument as well. make this physical argument by drawing a closed curve around the body where the closed curve is very far away from the body, so far away that in perspective the body becomes a very small speck in the middle of the domain enclosed by the closed curve.
The Kutta-Joukowski theorem, which is represented by equation (3.140), was originally derived for the case of a lifting cylinder. However, it can also be applied to a two-dimensional body of arbitrary shape, as stated in section 3.16.
A more detailed explanation of the answer.
To make a physical argument for this generalization, we can draw a closed curve around the body.
The key is to draw the curve far enough away from the body such that the body appears as a very small speck in the middle of the domain enclosed by the closed curve.
By doing this, we are essentially treating the body as a point object at the center of the curve. Since the body is now a very small speck in comparison to the large domain, its specific shape becomes insignificant to the overall flow around it.
Therefore, the lifting force calculations derived from the Kutta-Joukowski theorem for the lifting cylinder should also apply to the two-dimensional body of arbitrary shape, as long as the body is small in comparison to the domain enclosed by the closed curve.
This physical argument allows us to accept that equation (3.140) can be applied in general to a two-dimensional body of arbitrary shape without requiring a mathematical proof.
Learn more about Kutta-Joukowski theorem.
brainly.com/question/15454204
#SPJ11
What will be the values of x and y as a result of the following code? int x = 25, y = 8; x = y; x = 25, y = 8 x = 34, y = 8 x = 33, y = 8 x = 34, y = 9
The values of x and y as a result of the code are 8 and 8
How to determine the values of x and y as a result of the code?The code is given as:
int x = 25, y = 8;
x = y;
At the first line, we have
x= 25 and y = 8
On the second line, where we have
x = y
This means that
x = 8 and y = 8
Hence, the values of x and y as a result of the code are 8 and 8
Read more about code segments at;
https://brainly.com/question/26683418
#SPJ4
Solve for x:
4x – 7 = 8x + 33
Answer:
x = 10
Step-by-step explanation:
Hey there!
To solve this question we will use PEMDAS (order of operations)
4x−7=8x+33
Subtract 8x from both sides.
4x−7−8x=33
Combine 4x and −8x to get −4x.
−4x−7=33
Add 7 to both sides.
−4x=33+7
Add 33 and 7 to get 40.
−4x=40
Divide both sides by −4.
x= 40/-4
Divide 40 by −4 to get −10.
x=−10
The governor of state A earns $52,320 more than the governor of state B. If the total of their salaries is $288,610, find the salaries of each.
Answer:
Salary of state A's governor = $170,465
Salary of state B's governor = $118,145
Step-by-step explanation:
We will need a system of equations to find the salaries of each governor.
Let A represent the salary of state A's governor and B represent the salary of state B's governor.
Step 1: Write an equation showing that state A's governor's salary is $52320 higher than state B's governor:
Since the governor of state A earns $52320 more than the governor of state B, we can model this with the equation:
A = B + 52320
Step 2: Write an equations showing that the sum of the two governor's salaries is $288610:
The equation modeling the sum of the governor's salaries is given by:
A + B = 288610
Step 3: Plug in A = B + 52320 for A in A + B = 288610 to solve for B:
Now, we can plug in A = B + 52320 for A in A + B = 288610 to solve for B:
B + 52320 + B = 288610
Combining like terms gives us:
2B + 52320 = 288610
Subtracting 52320 from both sides gives us:
2B = 236290
Dividing both sides by 2 gives us:
B = 118145
Step 4: Find A, the salary of state A's governor:
We can plug in 118145 for B in A + B = 288610 to find A, the salary of state A's governor:
A + 118145 = 288610
Subtracting 118145 from both sides gives us:
A = 170465
Thus, the salary of state A's governor is $170,465 and the salary of state B's governor is $118,145.
what is cos 0 when sin 0 = 2/5
Answer:
cos 0 = 1
.................
What value of wmakes the equation below true?
3w + 2 = 8 + 6W
Answer:
w= -2
Step-by-step explanation:
3w + 2 = 8 + 6w
Subtract 3w from each side
3w-3w + 2 = 8 + 6w-3w
2 = 8+3w
Subtract 8 from each side
2-8 = 8-8+3w
-6 = 3w
Divide each side by 3
-6/3 = 3w/3
-2 =w
Based on a random sample of 500 people, 45 reported they have more than one
dog. Based on these results, how many out of 1,200 people would you expect to
have more than one dog?
A
1,008
B
60
С
165
D
108
Answer:
I’m guessing 108 or 165
Step-by-step explanation:
because if 45/500 if you double that it would be 90/1000. after 200 is about half of 500 so 45 divided by 2 is 22.5. yeah i’m like no help sorry
what is 7,5 and move 7 units left and 5 units down
Question 3*
What are the zeros of the function f(x) = x2 – 5x – 6?
(1) -2 and 3
(3) 1 and 46
(2) 2 and -3
(4) -1 and 6
pls help lol
Answer:
option 4
Step-by-step explanation:
Given
f(x) = x² - 5x - 6
To find the zeros let f(x) = 0 , that is
x² - 5x - 6 = 0
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 5)
The factors are - 6 and+ 1, since
- 6 × 1 = - 6 and - 6 + 1 = - 5 , then
(x - 6)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x - 6 = 0 ⇒ x = 6
ASAP Answer right with PROOF, Will give thanks, stars and brainiest
Answer:
5
Step-by-step explanation:
(67/8 -29/6)+35/24
=201-116+35/24
=120/24
=5
Hay 150 numeros en una rifa ¿ cuantos habria que comprar para tener un 8% de probalidad pra ganarla
Answer:
12 numeros
Step-by-step explanation:
para que pueda obtener el 8% de probabilidad, tendrá que comprar el 8% de los números
8% x 150
8 x 150
100
=12 numeros
espero eso ayude
Which answer choice shows 34.698 rounded to the nearest half?
A. 34
B. 34.5
C. 35
D. 35.5
Answer:
C. 35
Step-by-step explanation:
Since 34.698 is higher than 5 in it's tenths place, we give it a shove.
We then get 35 after we shove the 6.
how do put this 7+2x=11+5x
The volume of the bottle will be 165 cm³. The height of the water bottle is 8. 3 cm what is the radius of the water bottle?
Answer:
the radius of the water bottle is approximately 2.49 cm.
Step-by-step explanation:
We can use the formula for the volume of a cylinder to find the radius of the water bottle:
V = πr²h
where V is the volume, r is the radius, and h is the height.
Substituting the given values, we get:
165 cm³ = πr²(8.3 cm)
Simplifying, we get:
r² = 165 cm³ / (π × 8.3 cm)
r² = 6.211 cm
Taking the square root of both sides, we get:
r ≈ 2.49 cm
know more about volume: brainly.com/question/31992651
#SPJ11
Salary Raise: Men According to the same survey quoted in Problem 13, of the men interviewed, 20% had asked for a raise and 59% of the men who had asked for a raise received the raise. If a man is selected at random from the survey population of men, find the following probabilities: P(man asked for a raise); P(man received raise, given he asked for one); P(man asked for raise and received raise).
The evaluated probabilities for the given question are 0.20 for the men who asked for promotion, 0.59 for the men who received the promotion when asked, and 0.118 for men who asked for promotion and received.under the condition that from the men interviewed 20% had asked for a promotion and 59% of the men who had asked for a promotion and received.
Then,
P(man asked for a promotion)
= 20/100
= 0.20
P(man received promotion, given he asked for one)
= 59/100
= 0.59
P(man asked for promotion and received )
= P(man asked for a promotion) x P(man received promotion, given he asked for one)
= 0.20 x 0.59
= 0.118
Probability is considered as the percentage of an event taking place in a specific time frame, in a given place. It is said to be a great aid in the horizons of science and mathematics.
To learn more about probability,
https://brainly.com/question/30390037
#SPJ4
which of the following shows the correct meter reading consumed? a.2419KW b.2491KW c.2548KW d.2584KW pls answer thank you
Answer:
c.2548KW
Step-by-step explanation:
The correct reading of the meter is;
First meter,---2000
Second meter----500
Third meter ------40
Fourth meter -------8
Total 2000+500+40+8 = 2548 kilo watts.
The answer option A,B, and D are not correct because the answers have incorrect meter reading values.
An automobile factory is assembling cars and they need to have all of the parts in stock at the assembly line. each car needs four tires and a spare tire for the trunk. if they produce c cars per day, what formula shows how to calculate the number of tires, t, needed? a. c = 4 t 1 c. t = 4 c 1 b. t = c 4 d. t = 5 c
The formula which shows how to calculate the number of tires, t, needed if they produce c cars per day is t = 5c. option D
EquationNumber of tires needed by each car = 4Number of spare tires needed by each car = 1Total tires needed by each car = 4 + 1
= 5
Number of cars produced per day = cTotal number of tires, t needed for c cars.
Number of tires needed, t = Total tires needed by each car × Number of cars produced per day
t = 5 × c
t = 5c
For instance,
if 5 cars are produced per day
Number of tires needed, t = Total tires needed by each car × Number of cars produced per day
t = 5c
= 5 × 5
t = 25 tires
Therefore, the formula which shows how to calculate the number of tires, t, needed if they produce c cars per day is t = 5c. option D
Learn more about equation:
https://brainly.com/question/2972832
#SPJ1
Convert to a mixed number and simplify: 83/6
6
83
Answer:
13 5/6
Step-by-step explanation:
83/6 = ?
6 can go into 83, only 13 times. Which would make 83/6 turn into:
13 5/6
Hopefully this helps :3 sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
To study the eating habits of all athletes in his school, Christopher obtains a list of the athletes, divides them into groups of varsity and junior varsity, and randomly selects a proportionate number of individuals from each group. Which type of sampling is used? Select the correct answer below: Cluster sampling Systematic sampling Convenience sampling Stratified sampling
In this case, Christopher divides the athletes into groups of varsity and junior varsity, which creates the strata. The type of sampling used in this scenario is stratified sampling.
Stratified sampling is a sampling method where the population is divided into homogeneous subgroups or strata, and individuals are randomly selected from each stratum in proportion to their representation in the population. In this case, Christopher divides the athletes into groups of varsity and junior varsity, which creates the strata.
By randomly selecting a proportionate number of individuals from each group, Christopher ensures that both varsity and junior varsity athletes are represented in the sample, maintaining the proportional representation of each group in the population. This method allows for more accurate and representative results by capturing the characteristics of both groups separately.
To learn more about stratified sampling click here: brainly.com/question/15604044
#SPJ11
what is the correct answer to this division monomial?
63a5 b4 c7
-7a3 b4 c5
Answer in image V
I couldn't write it as a fraction in here
(3i+5)+(2-6i) simplify
Answer:
(3i+5)+(2-6i)
⇒ 3i+5+2-6i
⇒3i-6i+5+2
⇒-3i+7
The simplified form of (3i+5)+(2-6i) will be -3i+7
Use the distributive property to simplify this expression
-9(n-4)
Answer:
-9n + 36
Step-by-step explanation:
1. -9(n - 4) -Distribute
2. -9n + 36 -Answer
\(\huge\fbox{\sf{Answer:~~{\boxed{-9n+36}}}}\)
Step-by-step explanation:
Hi there!
Let's simplify this expression. It's easy, because all we have to do is "distribute" -9:
\(\bold{-9(n-4)}\)
\(\bold{-9n+36}\)
Hope it helps!
#\(\rm{HaveAnAmazingDay:)\)
~ \(\sf{Just~a~teenage~girl~willing~to~help\)
\(\bold{Besties4Ever:-):-):-)}\)
How could mathematics help in the food science industry?