John runs a circular route around a lake. The jogging path had a radius of 1/8 mile and he usually runs exactly 4 laps. Approximately how far does John run in one workout? *1.57 miles3.14 miles4.71 miles6.28 miles9.42 miles
Answers
The path is circular. The distance covered in one lap is the same as the circumference of the circle. The formula for finding the circumference of a circle is
circumference = 2 x pi x r
r = 1/8 = 0.125
pi = 3.14
one lap = 2 x 3.14 x 0.125 = 0.785
The distance covered in running 4 laps = 4 x 0.785 = 3.14 miles
Related Questions
if you got a 24/30 on a test what would your grade be
Answers
Answer:
24/30 is
Step-by-step explanation:
0.8
f(1) if f(x) = x + 3
Answers
Given m∥ n, find the value of x.
Answers
Answer:
Step-by-step explanation:
3x + 5 + x - 25 = 180
4x - 20 = 180
4x = 200
x = 50
Find the 6terms of the series 247
Answers
The six terms of the series 247 are 2, 2, 2, 2, 2, and 2.
To find the six terms of a series, we need to first understand what a series is. A series is defined as the sum of the terms of a sequence. A sequence is a set of numbers in a specific order.
Therefore, a series is a sum of terms from a sequence. There are different types of series, and they have different formulas for calculating their terms.In this case, we are required to find the six terms of the series 247. Since this is a finite series, we can use a formula to calculate the nth term of a finite series.
The formula is given as follows:Tn = a + (n - 1) dWhere Tn is the nth term of the series, a is the first term of the series, n is the number of terms in the series, and d is the common difference between the terms of the series.To find the six terms of the series 247, we need to know the value of a and d. In this case, we can see that the first term of the series is 2. Therefore, a = 2.
Since this is a constant series, we can see that the common difference between the terms is 0. Therefore, d = 0.Substituting these values in the formula, we get:T1 = a + (1 - 1) dT1 = 2 + 0T1 = 2T2 = a + (2 - 1) dT2 = 2 + 0T2 = 2T3 = a + (3 - 1) dT3 = 2 + 0T3 = 2T4 = a + (4 - 1) dT4 = 2 + 0T4 = 2T5 = a + (5 - 1) dT5 = 2 + 0T5 = 2T6 = a + (6 - 1) dT6 = 2 + 0T6 = 2.
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How much will a cup of coffee that is $5.15 cost with 5% sales tax?
Answers
Answer:
It will cost $5.41
Step-by-step explanation:
You would take 5% of 5.15 since that is the price of the coffee with is about 0.26 cent than you add that to the cost of the coffee.
Help me please thank you
Answers
Answer:
36 miles
Step-by-step explanation:
If she can drive 12 miles only using 1/3 of a gallon of gas, that means if she uses a full gallon (3/3) she would be driving 36 miles.
12/1 x 1/3
36/1 x 3/3
Multiply the numerators by 3.
Complete the number sentence to solve. Enter the answer in simplest form.
Three students share 4 granola bars equally.
How many granola bars does each student get?
4+ 3
=
Each student's share is
granola bars.
Answers
Answer:
They each get 1 and 1/3 (one third). Do 4 (granola bars) divided by 3 (students) to get 1.33.
Answer:
Step-by-step explanation:
(1 3/4 + 2 3/8) + 5 7/8=
Answers
Answer:
10
Step-by-step explanation:
If f(-2) = a and (f • g) (-2) = 2a^2, which of the following is g (-2)?
Answers
Answer: \(g(-2)=2a\)
Step-by-step explanation:
\((f \cdot g)(-2)=f(-2)g(-2)\\\\\therefore a \cdot g(-2)=2a^2 \implies g(-2)=2a\)
The function g(-2) from the given functions is 2a.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given functions are f(-2)=a and (f·g)(-2)=2a².
Here, (f·g)(-2)=2a²
f(-2)·g(-2)=2a²
a·g(-2)=2a²
g(-2)=2a²/a
g(-2)=2a
Therefore, the function g(-2) is 2a.
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Divide:
5/8 divided by 3/4
Answers
Answer:
solution
5/8 ÷3/4
=5÷3=1.6666666667
=4÷8=2
=11
2
What is the value of r
Answers
Then you subtract and get 9= 3r
then r= 3
Elliot spent $16.15 on ground beef at a grocery store. He purchased 3 and 2 over 5 pounds of ground beef. What is the price per pound of the ground beef at that store?
Answers
We want to know how much is the price per pound (or unit rate) of ground beef, given that we know the price for Elliot's purchase. We will see that each pound costs $4.75
So we know that (3 + 2/5) lb of ground beef costs $16.15, the cost of a single pound will be given by the quotient between the total cost and the amount purchased, then we need to solve:
\(P =\frac{ \$ 16.15}{(3 + 2/5)lb}\)
We can rewrite the denominator as:
(3 + 2/5)lb = (15/5 + 2/5)lb = (17/5) lb
Replacing that we get:
\(P =\frac{ \$ 16.15}{(17/5)lb} = \frac{ \$ 16.15*5}{17lb} = \$4.75 \ per \ lb\)
So each pound of ground beef costs $4.75
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what is the equivalent fraction of 13%
Answers
1. Which two points on the number line are opposites?
——————————————-
-2 A -1 B 0 C 1 D
Not points B and C
2. Which two points on the number line are opposites? Use the number line above
Not points C and D
3. Which fraction is represented by point A on the number line ?
Not 1/4
Answers
Answer:
Option D. A and D
Step-by-step explanation:
Answer:
A and D
Step-by-step explanation:
Sorry I’m really late ✌️
Please help me there due tonight!!! All help is appreciated.
Answers
Answer:
1. 160cm²
2. 176.25cm²
3. 33.75ft²
Step-by-step explanation:
Area triangle = (1/2)(base)(height)
1)
total area = 2(area small triangle) + 2(area big triangle)
= 2(0.5(8)(9))+2(0.5(8)(11))
=72+88=160cm²
2)
total area = 2(area small triangle) + 2(area big triangle)
= 2(0.5(7.5)(7.5))+2(0.5(7.5)(16))
= 56.25 + 120 = 176.25cm²
3)
total area = 2(area small triangle) + 2(area big triangle)
= 2(0.5(4.5)(2.5))+2(0.5(4.5)(5))
= 11.25+22.5 = 33.75ft²
In Rebecca's neighborhood, 89% of the houses have garages and 48% have a
garage and a pool. What is the probability (in percent) that a house in her
neighborhood has a pool, given that it has a garage? Round your answer to 1
decimal place.
Answers
why are there two of these?
Answer:
53.9
Step-by-step explanation:
89% of all houses have garages and 48% have garages and pools. We try to find houses with a pool that have a garage. Let's assume that there are 100 houses in her neighborhood. then 89 of them have garages and 48 of them have garages and pools. 48 / 89 = about 0.5393. Conver this to percent and we get 53.9
I NEED HELP PLEASE PLEASE
Answers
Answer:
length= 17.5
width=11.5
( I worked this out myself but I don't know if its right tho)
Two cars are traveling towards a hotel on the same road. From the edge of the hotel, 600 feet high, Spiderman sits on the rooftop thinking about the depression angle needed to reach each car. If the depression angle to the nearest car is 52 degrees, and the depression angle to the farther car is 46 degrees, how far apart must the two cars be from each other?
Make a sketch, solve the problem, and round your answer to the nearest hundredth of a foot.
Answers
The two cars must be approximately 177.34 feet apart from each other for Spiderman to have different depression angles to each car.
To find the distance between the two cars, we can use trigonometry and the concept of similar triangles. Let's denote the distance between Spiderman and the nearest car as d1 and the distance between Spiderman and the farther car as d2.
In a right triangle formed by Spiderman, the height of the hotel, and the line of sight to the nearest car, the tangent of the depression angle (52 degrees) can be used:
tan(52) = 600 / d1
Rearranging the equation to solve for d1:
d1 = 600 / tan(52)
Similarly, in the right triangle formed by Spiderman, the height of the hotel, and the line of sight to the farther car, the tangent of the depression angle (46 degrees) can be used:
tan(46) = 600 / d2
Rearranging the equation to solve for d2:
d2 = 600 / tan(46)
Using a calculator, we can compute:
d1 ≈ 504.61 feet
d2 ≈ 681.95 feet
The distance between the two cars is the difference between d2 and d1:
Distance = d2 - d1
Plugging in the values, we have:
Distance ≈ 681.95 - 504.61
Distance ≈ 177.34 feet
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Find the rule from the given table
A.Divide by 2
B.Divide by 3
C.Divide by 5
D.Divide by 6
Answers
Answer:
the answer b
Step-by-step explanation:
te answer b because I guessed
in KLM, R is the centroid. If LR=46 find RQ
Answers
Solution:
R splits the segment LQ in two segments LR and RQ. As a property, the ratio RQ/LR=1/2. Then we have the following equation:
\(\frac{RQ}{46}\text{ =}\frac{1}{2}\)Solve for RQ:
\(RQ\text{ =}\frac{46}{2}\text{ = 23}\)Then the correct answer is RQ = 23.
A road that is two miles long was divided into three equal sections. What
was the length of each section?
mile
mile
Answers
Answer:
0.666 miles
Step-by-step explanation:
2 miles divide 3
=0.666
A ladder resting on a vertical wall makes an angle whose tangent is 2.5 with the ground of the distance between the foot of the ladder and the wall is 60cm what is the length on the ladder
Answers
If AC denote the ladder and B be foot of the wall the length of the ladder AC be x metres then the length of the ladder exists 5 m.
What is meant by trigonometric identities?Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate a triangle's side length and angle.
Let AC denote the ladder and B be foot of the wall. Let the length of the ladder AC be x metres.
Given that ∠ CAB = 60° and AB = 2.5 m In the right Δ CAB,
cos 60° = AB / AC
simplifying the above equation, we get
⇒ AC = AB / (cos 60°)
x =2 × 2.5 = 5 m
Therefore, the length of the ladder exists 5 m.
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Find the derivative using Power Rule and Product Ruley=(x^4+3)(-4x^5+5x^4+5)
Answers
To determine the derivative using Power Rule and Product Rule
\(y=(x^4+3)(-4x^5+5x^4+5)\)Applying the product rule of differentiation:
Let f rep x^4+3
Let g rep -4x^5+5x^4+5
\(\begin{gathered} (f.g)^1=f^1.g+g^1.f \\ f=x^4+3,\: g=-4x^5+5x^4+5 \end{gathered}\)\(\begin{gathered} \frac{d}{dx}(\mleft(x^4+3\mright)\mleft(-4x^5+5x^4+5\mright)= \\ \frac{d}{dx}\mleft(x^4+3\mright)\mleft(-4x^5+5x^4+5\mright)+\frac{d}{dx}(-4x^5+5x^4+5)(x^4+3) \end{gathered}\)\(\begin{gathered} \frac{d}{dx}(x^4+3)=4x^3 \\ \frac{d}{dx}(-4x^5+5x^4+5)=-20x^4+20x^3 \\ 4x^3\mleft(-4x^5+5x^4+5\mright)+\mleft(-20x^4+20x^3\mright)\mleft(x^4+3\mright) \end{gathered}\)Simplifying the expression
\(\begin{gathered} 4x^3(-4x^5+5x^4+5)+(-20x^4+20x^3)(x^4+3) \\ -16x^8+20x^7+20x^3-20x^8-60x^4+20x^7+60x^3 \\ collect\text{ like terms} \\ -16x^8-20x^8+20x^7+20x^7-60x^4+20x^3+60x^3 \\ -36x^8+40x^7-60x^4+80x^3 \end{gathered}\)Hence the final answer is - 36x^8 + 40x^7 - 60x^4 + 80x^3
please helpppppp
For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.
Greg bought a regular-sized box of his favorite cereal. A regular-sized box contains 12 servings.
Part A: If Greg eats 1 1/2 servings for breakfast every day, how many breakfasts can Greg eat from 1 box? Show all work.
Part B: The regular-sized box of cereal costs $4.29. How much does 1 breakfast from a regular-sized box of cereal cost Greg? Round to the nearest hundredth. Show all work.
Part C: If Greg purchased the family-sized box of cereal that contains 18 servings, how many more breakfasts could Greg eat from 1 box? Show all work.
Answers
a. Greg can eat 8 breakfasts from 1 box.
b. The cost of 1 breakfast from a regular-sized box is $34.32.
c. Greg will enjoy 4 breakfast more.
How to calculate the fraction?a. A regular-sized box contains 12 servings. If Greg eats 1 1/2 servings for breakfast every day, the number of breakfasts that Greg can eat from 1 box will be:
= 12 ÷ 1 1/2
= 12 ÷ 1.5
= 8
b. Since the regular-sized box of cereal costs $4.29. The cost of 1 breakfast from a regular-sized box of cereal cost Greg will be:
= 8 × $4.29
= $34.32
c. If Greg purchased the family-sized box of cereal that contains 18 servings, the number of breakfasts will be:
= 18 ÷ 1.5
= 12 breakfast
The difference will be:
= 12 - 8
= 4 breakfast more.
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In one season, a basketball player missed 50% of her free throws. How many free throws did she attempt if she made 183 free throws?
Answers
Answer:
Step-by-step explanation:
50% of 366 is 183, therefore your answer is 366.
Layla, Sofia, and Evelyn share a box of 754 pieces of colored paper. The ratio of Layla's pieces of colored paper to Sola's pieces of colored paper is 4: 3. The ratio of Sofia's pieces of coloredpaper to Evelyn's pieces of colored paper is 9 : 5.a How many piece of colored paper does Layla have?b How many more pieces of colored paper does Layla have than Evelyn?
Answers
Layla: Sofia
4:3
Multiply by 3
4*3 : 3*3
12 : 9
We know Sofia to Evelyn is 9:5
We can write this as one ratio
Layla : Sofia : Evelyn : total
12 : 9 5 : 12+9+5 = 26
We have 754 pieces of paper so divide by 26
754/26 =29
Multiply each number by 29
Layla : Sofia : Evelyn : total
12*29 : 9*29 : 5*29 : 26*29
348 261 145 754
Layla has 348 pieces
Layla - Evelyn
348-145
203
Layla has 203 more pieces
Draw the graphs of these equations between the stated x values by first compiling suitable tables of values. y=x²+2x-3 -4≤x≤2
im mostly stuck on how many numbers i need put on a table for x, do i need to substitute 6 or how many numbers? im confused on that and the eentire question.
Answers
Answer:
substitute 7 numbers from -4 to +2, inclusive
Step-by-step explanation:
please read the attachments
factor completely using distributive law -14-(-8)
Answers
Answer: To factor the expression -14 - (-8) completely using the distributive law, we need to simplify it first.
Remember that when we subtract a negative number, it is equivalent to adding the positive number. Therefore, -(-8) is the same as +8.
So the expression becomes:
-14 + 8
To factor it further using the distributive law, we can rewrite the addition as multiplication by distributing the -14 to both terms:
(-14) + (8) = -14 * 1 + (-14) * 8
This can be simplified as:
-14 + 8 = -14 * 1 + (-14) * 8 = -14 + (-112)
Finally, we can add the two negative numbers to get the result:
-14 + (-112) = -126
Therefore, the expression -14 - (-8) factors completely as -126.
789342 x 152387 x 69248
Answers
Step by step Explanation:
I used a calculator
Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
Need Help
Answers
Answer: -27
Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
We can start by looking at the differences between consecutive terms in the list:
9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12
Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:
-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21
Therefore, we predict that the most probable next number in the list is -27.