A 16 inch pizza is divided between eight students. What is the length of the crust for one of the slices of pizza? Answer should be written in terms of pi.
Answer:
\(\pi (inches)\)
Step-by-step explanation:
\(16 inch -pizza, radius=8 inch\\Circumference=2\pi r=2\pi \times8=16\pi \\LC=\frac{16\pi}{16} =\pi (inches)\)
radius = 16 in ; height = 27 in
What is the absolute
value for:
| +98|
Answer:
The absolute value of +98 is simply 98. So, | +98| = 98.
Step-by-step explanation:
Answer:
98
Step-by-step explanation:
The absolute value of a number is its POSITIVE distance from 0, so as +98 is 98 away from 0, then |+98| = 98.
I need a answer pls help me
Answer:
y = 2.5x
Step-by-step explanation:
Note where all the points are.
When x = 0, y = 0
When x = 2, y = 5
When x = 8, y = 20
You simply need to find how much "y" is for each "x". Divide y with x:
5/2 = 2.5
Check. Plug in the x, and obtain the y:
y = 2.5x
y = 2.5(4) = 10 (True).
y = 2.5(8) = 20 (True).
~
You try to explain the number of IBM shares traded in the stock market per day in 2005. As an independent variable you choose the closing price of the share. This is an example of A. invalid inference due to a small sample size. B. sample selection bias since you should analyze more than one stock. C. simultaneous causality.
Answer:
This is an example of
C. simultaneous causality.
Step-by-step explanation:
Simultaneous causality eliminates the conclusion that is often taken for granted to the effect that one variable is a response variable while the other is an explanatory variable because the two variables, the price and the number of shares, influence each other at the same time. When more shares are traded than demanded in the stock market in any day, the price tends to go down, and vice versa.
The Nutty Professor sells cashews for $7.10 per pound and Brazil nuts for $4.60 per pound. How much of each type should be used to make a 32 pound mixture that sells for $6.24 per pound?
Round answers to the nearest pound.
pounds of cashews
pounds of Brazil nuts
Answer:
Pounds for cashew- 20.96
Pounds for Brazilian nut- 11.04
Step-by-step explanation:
Let c be the pounds of cashew
Let b ne the pound of Brazilian but
32×6.24
= 199.68
7.1c + 4.60b= 199.68.......equation 1
c + b= 32..........equation 2
From equation 2
c= 32-b
Sub 32-b for c in equation 1
7.1(32-b) + 4.60b= 199.68
227.3-7.1b+4.60b, = 199.68
227.3-2.5b= 199.68
-2.5b= 199.69-227.3
- 2.5b= -27.61
b= 27.61/2.5
b= 11.04
Sub 11.04 for b in equation 2
c+b= 32
c + 11.04= 32
c= 32-11.04
c= 20.96
Amber bought 3 kg of walnuts for $6.75 per kg and 4 kg of almonds for $8.69 per kg. She gave the cashier a $100 bill. What should Amber get back in change?
I will mark you brainiest!
What is the length of LJ?
A) 23.0
B) 17.0
C) 4.7
D) 3.5
The the length of LJ is approximately 3.5.OptionD) is correct.
How to find the length of LJ?To find the length of LJ, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides of the triangle.
Let's denote the length of JL as x. Then, we can set up the following proportion:
sin(23°) / LJ = sin(89°) / KL
where KL is given as 9.
We can simplify this proportion by using the fact that sin(89°) = cos(1°) (since the sine of the complement of an angle is equal to the cosine of the angle), and by using a calculator to find the values of sin(23°) and cos(1°):
0.3919 / LJ = 0.0175 / 9
Multiplying both sides by x and then dividing both sides by 0.0175, we get:
LJ = 0.3919*9/ 0.0175
x ≈ 3.5
Therefore, the length of LJ is approximately 3.5.OptionD) is correct.
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Evaluate the expression when c=-4 and x=3.
C- 3x
Answer:
-13
Step-by-step explanation:
-4-3(3)
-4-9 = -13
At 5pm, Li rented bikes from Pearl's
Wheels. She returned the bike at 11pm, after
riding 38 miles: Li paid $26.00 for the
rentals
a. What was her average speed in miles per hour?
b. What was her cost per hour, to the nearest cent?
c. What was her cost per mile, to the nearest cent?
Answer:
(a) 6.33 miles per hour
(b) $4.33 per hour
(c) $0.68 per mile
Step-by-step explanation:
Li drove 6 hours (5pm - 11pm) for a total of 38 miles
\(\textrm{(a) Her average speed is determined by the formula}\\\\\dfrac{\textrm{Distance Travelled}}{\textrm{Time taken for travel}}\)
\(\textrm{So average speed }=$\dfrac{38}{6} = 6.33$ \;\textrm{miles per hour}}\\\\\)
(b) She paid $26 for 6 hours of usage
\(\textrm{So cost per hour } = \dfrac{26}{6} = \$4.33\;\textrm{per hour}\\\\\)
(c) Cost per mile, c, can be computed as follows
\(c = \dfrac{\textrm{Total Cost}}{\textrm{Miles Traveled}}\)
\(\longrightarrow \dfrac{26}{38} = \$0.68\; \textrm{per mile}\)
Any help would be geeat
Answer:
90 feet
Step-by-step explanation:
==>Given:
Rectangular room measuring 21 feet by 23 feet
==>Required:
Perimeter of the room = the length of all sides of the room
==>Solution:
Using the formula P = 2L + 2W, we can find the perimeter of the rectangular room assuming that length big the room (L) = 23 ft, while the width (W) = 22 ft.
Therefore,
P = 2(23) + 2(22)
P = 46 + 44
P = 90 ft
Perimeter of the room = 90 feet
3f-23=2f+6
can u do it quick i have an exam
Answer:
3f - 2f = 6 + 23( collection of like terms)
f = 29
Nate ordered a pizza to be delivered. The bill with 5% tax and 20% tip was $24.00. What was the original cost of the pizza?
a
12.60
b
16.65
c
15.40
d
19.20
Answer:
d. $19.20
Step-by-step explanation:
Let C = original cost of pizza
24 = .05C + .20C + C
= 1.25C
C = 19.20
A frozen yogurt shop charges $4. 00 for a bowl of yogurt and an additional $0. 25 per topping. If y is the price of your yogurt with toppings and x is the number of toppings, what is the value of y-intercept of the line representing this situation?.
The y-intercept of the line representing the frozen yogurt shop situation is 4.00.
The equation that represents the frozen yogurt shop situation is y= 4.00 + 0.25x, where y is the price of the yogurt with toppings and x is the number of toppings. The y-intercept of this equation is the point at which the line crosses the y-axis. This is when x = 0, so the y-intercept is y = 4.00.
To calculate the y-intercept, we substitute 0 for x in the equation y= 4.00 + 0.25x.
y= 4.00 + 0.25(0)
y= 4.00
Therefore, the y-intercept of the line representing the frozen yogurt shop situation is 4.00.
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Find the areas of the figures below. Can you find more than one method for each shape?
Please explain how you solved this. I am struggling.
Using area formula,
a. Area of the trapezium = 47.5m².
b. Area of parallelogram = 54inches².
Define area?The area of a thing is the amount of space it occupies in two dimensions. It is a way to count how many unit squares completely round the surface of a closed figure. The standard unit of area is the square unit, which is usually expressed as square inches, square feet, etc.
a. Sides of the trapezium are, a = 5m and b = 14m.
Height, h = 5m.
Area of the trapezium = (a+b)/2 × h
= (5 + 14)/2 × 5
= (19× 5)/2
= 95/2
= 47.5m².
b. Height of parallelogram = 6inches.
Base of parallelogram = 9inches.
Area = b × h
= 6 × 9
= 54inches².
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What mistake, if any, did she make?
Answer:
She didn't make a mistake. All of her work is correct.
Step-by-step explanation:
12.07 - (0.104 + 132.8)
12.07 - (132.904)
12.07 - 132.904
-120.834
I hope this helps!
-simple Sums
Find an equation that will equal the number:
301
Use these numbers: 2 50 25 8 7 6
To create the equation
you can use the numbers
provided only once, but you
do not need to use all the
numbers.
2 50 25 8 7 6
Calculation zone:
50
300
30h
You can use
division,
subtraction,
multiplication,
addition and
brackets in
your equation -
as many times as
you would like!
las
Your answer:
301
D
9514 1404 393
Answer:
6×50 +8 -7 = 301
(6 -2)(50 +25) +8 -7 = 301
50×7 -25 -8×6/2 = 301
Step-by-step explanation:
We have chosen to use 301 = 300 + 1 a couple of different ways, and 301 = 350 -49. We couldn't see a way to take advantage of the factoring 301 = 43×7.
6 cubes are glued together to form the solid shown in the diagram if the edges of each cube measure 1 and 1/2 in into length what's the surface area of the solid
Answer 58 1/2:
Step-by-step explanation:
The expression 4x − 2(5x − 1) is equivalent to the expression 2 + 6x.
True
False
It is false that the expressions 4x − 2(5x − 1) and 6x + 2 are equivalent expressions
How to determine the true statement?The expression is given as:
4x − 2(5x − 1)
Open the bracket
4x − 2(5x − 1) = 4x − 10x + 2
Evaluate the like terms
4x − 2(5x − 1) = − 6x + 2
− 6x + 2 and 6x + 2 are not equal expressions
Hence, 4x − 2(5x − 1) and 6x + 2 are not equivalent expressions
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Question 3(Multiple Choice Worth 2 points) (01.01 MC) What is seven hundred thousand one hundred eighty-two and nine thousandths written in expanded form 700,000+100 + 80 +2 +0.009 700,000+ 10,000+8,000 + 200 +0.9 7,000,000+ 100,000+ 9,000 + 80 +2 7,000,000+ 100,000+80,000 +2 +0.09
The number in an expanded form is 700,000 + 182 + 0.009
How to write the number in an expanded form?The number is given as:
seven hundred thousand one hundred eighty-two and nine thousandths
Next, we split the numbers:
seven hundred thousand = 700,000
one hundred eighty-two = 182
and nine thousandths = 0.009
Next, we add the numbers
700,000 + 182 + 0.009
Hence, the number in an expanded form is 700,000 + 182 + 0.009
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7. A paper clip weighs 0.5 grams and an empty envelope weighs 6.75 grams.
Han adds paper clips one at a time to an empty envelope. Complete the table
with the weight of the envelope w(n), in grams, after n paper clips have been
added.
2012 3
a.
w(n)
6.75
The total weight of the envelop after n paper clips have been added is w(n) = 0.5n + 6.75
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let w(n) represent the total weight of the envelop with n paper clips. A paper clip weighs 0.5 grams and an empty envelope weighs 6.75 grams. Hence:
w(n) = 0.5n + 6.75
The total weight of the envelop after n paper clips have been added is w(n) = 0.5n + 6.75
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Jordan will hike the trail shown at a rate of mi/h. Write a linear equation to represent the distance Jordan still has to walk after x hours. What does the y-intercept of the equation represent?
If y represents the distance Jordan still has to walk after x hours, then the equation ? describes the given situation.
(Type your answer in slope-intercept form.)
Answer:
y = (-mi/h)x + b
y = total distance left to cover
-mi/h = speed at wich he is covering ground
b = the total distance to cover from start to finish
Step-by-step explanation:
Slope Intercept form without other variables filled is shown like this with mx being the slope and b being the y intercept
y = mx + b
all we need to do is fill in known variables with hours multiplied by x represented as m...
y = (-mi/h)x + b
note the negative symbol, this shows that the higher that miles an hour (mi/h) aka speed is, the more distance he will cover REDUCING the distance to cover faster meaning the line will slope DOWNWARD
b would be the the total distance that he has started with, meaning on the point where the line crosses the y axis, the number it crosses at will represent how much he has started with
Simplify the expression: 4(–1 − 6n)
write the equation for the hyperbola with foci (-12,6) , (6,6)and vertices (-10,6), (4,6)
The equation for hyperbola with given foci is \(\frac{(x+3)^{2}}{49}-\frac{(y-6)^{2}}{32}=1\)
What is hyperbola?
In analytical geometry, a hyperbola is a conic section that results from the intersection of a plane with a double right circular cone at an angle that touches both of the cone's halves. The two distinct unbounded curves that result from the intersection of the plane and cone are known as hyperbolas.
The standard equation of a horizontal hyperbola with center (h,k) is
\(\frac{(x-h)^{2}}{a^{2} } -\frac{(y-k)^{2}}{b^{2} }=1\)
The given hyperbola has vertices at (–10, 6) and (4, 6).
The length of its major axis is 2a= 4-(-10)
2a=14
a=7
The center is the midpoint of the vertices (–10, 6) and (4, 6).
The center is \((\frac{-10+4}{2} , \frac{6+6}{2} )= (-3,6)\)
Now, we need to use the relation a^2+b^2=c^2 in order to find b^2.
The c-value is the distance from the center (-3,6) to one of the foci (6,6)
c= 6-(-3)=9
So, 7^2+b^2=9^2
b^2= 9^2-7^2
b^2= 81-49
b^2= 32
Hence, on substituting the obtained values in the standard equation of hyperbola, we get
\(\frac{(x-(-3))^{2} }{7^{2}}-\frac{(y-6)^{2} }{32} =1\)
\(\frac{(x+3)^{2} }{49}-\frac{(y-6)^{2} }{32} =1\)
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If AC = 18 and CD = 4, then AD = [ ? ]
in the form, y=a(1+r)^t PLEASEEEEEE
Answer:
y
a= ——
(r + 1 )t
Step-by-step explanation:
divide both sides
Francisco has saved $5.00 over the past week. Lauren has saved 4 times that amount. How much money has Lauren saved?
You can use the tool to help you.
$4.00
$9.00
$15.00
$20.00
After handling raw meat the food preparer should:
After handling raw meat the food preparer should:
wash hands with soap
move on to the next task
use hand sanitizer
After handling raw meat the food preparer should: wash hands with soap.
Food safetyIt is important that after handling raw meat the food preparer should endeavor to wash his/her with soap and water and dry your hand with a clean towel.
Washing of hand with soap will help to prevent bacteria based on the fact that raw meats can contaminate the area you place your hands on which is why it is advisable to wash your hands after handling raw meat.
Therefore after handling raw meat the food preparer should: wash hands with soap.
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tonya earned $5.00 she put half of the money into savings and kept the rest to spend.she bought a toy for $2.00.how much spending money dose tonya have left?
Answer:
50 cents
Step-by-step explanation:
half of 5.00$ is 2.50$
A quarterback completes 44% of his passes. Show all work.
a. Construct a probability distribution table (out to n = 6) for the number of passes attempted before the quarterback has a completion?
b. What is the probability that the quarterback throws 3 incomplete passes before he has a completion?
c. How many passes can the quarterback expect to throw before he completes a pass?
d. Determine the probability that it takes more than 5 attempts before he completes a pass.
e. If he throws 8 passes on the opening drive, what is the probability that he made at least half of them?
a.The probability distribution table for the first six attempts is shown below:
X P(X=k)
1 0.44
2 0.56 ×0.44
3 0.56²×0.44
4 0.56³ × 0.44
5 0.56⁴ ×0.44
6 0.56⁵×0.44
b. the probability is 0.1399.
c. the quarterback can expect to throw about 2.27 passes before completing one.
d. the probability is 0.1865.
e. the probability is 0.7349.
what is probability?The possibility or chance of an event occurring is measured by probability. The expression is given as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty. Compared to occurrences with a probability closer to 0, those with a probability closer to 1 are more likely to occur.
a. To construct a probability distribution table for the number of passes attempted before the quarterback has a completion, we can use the geometric probability distribution, which is given by:
P(X=k) = \((1-p)^{k-1}\)×p
where X is the number of attempts before the completion, p is the probability of completion on each attempt, and k is the number of attempts.
The probability distribution table for the first six attempts is shown below:
X P(X=k)
1 0.44
2 0.56 ×0.44
3 0.56²×0.44
4 0.56³ × 0.44
5 0.56⁴ ×0.44
6 0.56⁵×0.44
b. The probability that the quarterback throws 3 incomplete passes before he has a completion is given by:
P(X=3) = (1-0.44)³⁻¹× 0.44 × (1-0.44)⁰
= 0.56²×0.44
= 0.1399
Therefore, the probability is 0.1399.
c. The expected number of passes that the quarterback can throw before he completes a pass is given by the formula:
E(X) = 1/p
where p is the probability of completion on each attempt.
In this case, p = 0.44, so the expected number of passes is:
E(X) = 1/0.44
= 2.27
Therefore, the quarterback can expect to throw about 2.27 passes before completing one.
d. The probability that it takes more than 5 attempts before the quarterback completes a pass is given by:
P(X > 5) = 1 - P(X <= 5)
= 1 - [P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)]
= 1 - [0.44 + (0.56 × 0.44) + (0.56² ×0.44) + (0.56³ × 0.44) + (0.56⁴×0.44)]
= 0.1865
Therefore, the probability is 0.1865.
e. If the quarterback throws 8 passes on the opening drive, the probability that he completes at least half of them is given by the binomial probability distribution, which is given by:
P(X ≥ 4) = 1 - P(X < 4)
where X is the number of completed passes and the probability of completion on each attempt is p = 0.44.
Using the binomial probability distribution table or calculator, we can find:
P(X≥4) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]
= 1 - [0.56⁸ + (8× 0.56⁷×0.44) + (28 × 0.56⁶ × 0.44²) + (56× 0.56⁵×0.44³)]
= 0.7349
Therefore, the probability is 0.7349.
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