radius= 10 inches
3 revolutions in 2 seconds.
to find:the linear velocity.
solution:[tex]2\pi \: r = 2 \times \pi \times 10[/tex]
[tex] = 62.85inches[/tex]
[tex](3 \times 62.85)[/tex]
[tex] = 188.57[/tex]
[tex] \frac{188.87}{2} [/tex]
[tex] = 94.28[/tex]
hence, the linear velocity of the object is 94.28 in/s.
A building contractor is to dig a foundation 12 feet long, 9 feet wide, and 6 feet deep for a toll booth. The contractor pays $180 per load for trucks to remove the dirt. Each truck holds 6 cubic yards. What is the cost to the contractor to have all the dirt hauled away?
The cost for the contractor to have all the dirt hauled away for a foundation of 12 feet long, 9 feet wide and 6 feet deep is $720
Volume of rectangular prism
volume of a rectangular prism = lwh
where
l = lengthw = widthh = heightTherefore,
l = 12 ft
w = 9 ft
h = 6 ft
volume of the foundation = 12 × 9 × 6
volume of the foundation = 648 ft³
Therefore, the contractor pays $180 per load for the trucks remove the dirt.
648 cubic feet = 24 cubic yard
6 cubic yards = 1 truck load
24 cubic yard =
cross multiply
number of truck load = 24 / 6 = 4 truck loads
Hence,
1 truck load = $180
4 truck load =?
cross multiply
cost = 4 × 180 = $720
learn more on volume here: https://brainly.com/question/3008257
Please help i have an assignment due TODAY i need to get this done
rules:
NO LINKS! im not getting myself a virus
Answer:
i think it is diameter
Step-by-step explanation:
if you are in England
Answer:
CHORD
Step-by-step explanation:
A chord of a circle is any line segment joining two points on the circumference of the circle
(Diameter is the longest chord of a circle which passes through the center of the circle)
Since this line does not pass through the center,this is a chord
Question 5. Bob Orleans invested $3,000 and borrowed $3,000 to purchase shares in Verizon Communications. At the time of his investment, Verizon was selling for $47 a share.
o If Bob paid a $30 commission, how many shares could he buy if he used only his own money and did not use margin?
o If Bob paid a $60 commission, how many shares could he buy if he used his $3,000 and borrowed $3,000 on margin to buy Verizon stock?
o Assume Bob did use margin and paid a $60 total commission to buy his Verizon stock. Also, assume he paid another $60 to sell his stock and sold the stock for $54 a share. How much profit did he make on his Verizon stock investment?
The number of shares could he buy is 63.19 and 126.38. Then the profit gained by Bob is $764.68.
What is the profit gained by Bob?
Bob Orleans invested $3,000 and borrowed $3,000 to purchase shares in Verizon Communications.
At the time of his investment, Verizon was selling for $47 a share.
If Bob paid a $30 commission, then the number of shares could he buy if he used only his own money and did not use margin.
[tex]\rightarrow \dfrac{3000- 30}{47}\\\\\rightarrow \dfrac{2970}{47}\\\\\rightarrow 63.19[/tex]
If Bob paid a $60 commission, then the number of shares could he buy if he used his $3,000 and borrowed $3,000 on margin to buy Verizon stock will be
[tex]\rightarrow \dfrac{6000 - 60 }{47}\\\\\rightarrow \dfrac{5940}{47}\\\\\rightarrow 126.38[/tex]
Assume Bob did use margin and paid a $60 total commission to buy his Verizon stock. Also, assume he paid another $60 to sell his stock and sold the stock for $54 a share. Then the profit will be
[tex]\rightarrow (126.38 \times 54 - 60) - (6000)\\\\\rightarrow (6824.68 - 60) - 6000\\\\\rightarrow 6764.68 - 6000\\\\\rightarrow \$764.68[/tex]
More about the profit link is given below.
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A triangle has one angle that is 70 degrees and another that is 75 degrees. What is the third angle value in degrees?
Answer:
35 degrees is the third angle's value.
North of Carthage is this, it is a shallow evaporate lake:
A. Rub al-Khali
B. None of these
C. Sebkhet Arina
D. Sebkhet Qaddafi
Answer:
b none of these..........
The number of wins in the American Baseball League, Central Division, for a recent year is given in the table. Find the mean number of wins. Round your answer to one decimal place.
The mean number of wins for the five teams is ______wins?
Answer:
81
Step-by-step explanation:
Average | x = 81
Count | n = 5
Sum | Sum = 405
Solution:
The average (mean) is equal to the sum of all the data values divided by the count of values in the data set.
Average = Sum / Count
= 405 / 5
= 81
Alicia and Bennie have decided to play a game. They each draw as many flowers on paper as they can within one minute, repeating this game many times. The number of flowers Alicia draws and the number of flowers Bennie draws are independent. The number of flowers Alicia draws within 1 minute, A, is approximately Normally distributed with a mean of 38 flowers and a standard deviation of 1.8 flowers. The number of flowers Bennie draws in 1 minute, B, is approximately Normally distributed with a mean of 41 and a standard deviation of 2.6 flowers. Let D represent the difference, A – B, in the number of Alicia’s and Bennie’s flowers drawn in 1 minute.
What is the probability that Alicia draws fewer flowers than Bennie in any 1 minute?
Answer:
Because The Flowers Bennie drew are independent
Answer:
0.829
Step-by-step explanation:
Which of the following cannot be determined from the boxplots shown?
16
14
12
10
Set A
Set B
A. The minimum of set B is smaller than the minimum of set A
B. The maximum of set A is the same as the maximum of set B
OC. The median of set A is larger than the median of set B
OD. The mean of set A is larger than the mean of set B
The correct option is D the mean of set A is larger than the mean of set B.
A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. A vertical line goes through the box at the median. The whiskers go from each quartile to the minimum or maximum.
Here in the the box and whisker plot data values are not marked and these based on five points so mean cannot be determined here because mean required marked values.
The mean formula is given as the average of all the observations. It is expressed as Mean = {Sum of Observation} ÷ {Total numbers of Observations}.
But here in box and whisker plot no actual values are known so we can't find the mean.
Hence mean cannot be determined here with that given data.
For more details on mean follow the link below:
https://brainly.com/question/12513463
Saul has 8 bags. He records the weight of each bag on the line plot.
What is the total weight of the three heaviest bags?
Answer:
24
Step-by-step explanation:
just MultiplMultiply 8 times 3 and 24
NO LINKS!! Graph the following rational functions. Please show all of the work
Answer:
To graph rational functions:
Find any asymptotes (draw them as dotted lines, unless they are x and y axis)Find any x-intercept(s) and y-interceptFind the values of y for different values of xPlot the points and connect them with a smooth curvePart (a)[tex]\textsf{Asymptote} \implies (x+3)^2=0 \implies x=-3[/tex]
[tex](x+3)^2\geq 0 \implies f(x) > 0 \implies \textsf{asymptote}:y=0[/tex]
[tex]\textsf{y-intercept}\implies \dfrac{1}{(0+3)^2}=\dfrac{1}{9} \implies \left(0,\dfrac{1}{9}\right)[/tex]
Part (b)[tex]\textsf{Factor denominator} \implies x^2+2x-3=(x-1)(x+3)[/tex]
[tex]\textsf{Asymptote} \implies x-1=0 \implies x=1[/tex]
[tex]\textsf{Asymptote} \implies x+3=0 \implies x=-3[/tex]
[tex]\textsf{x-intercept} \implies x+1=0 \implies x=-1 \implies (-1,0)[/tex]
[tex]\textsf{y-intercept}\implies \dfrac{0+1}{0^2+2(0)-3}=-\dfrac{1}{3} \implies \left(0,-\dfrac{1}{3}\right)[/tex]
Part (c)[tex]\textsf{Asymptote} \implies x-2=0 \implies x=2[/tex]
[tex]\textsf{x-intercepts} \implies x^2-9=0 \implies x=\pm 3 \implies (-3,0)\:(3,0)[/tex]
[tex]\textsf{y-intercept}\implies \dfrac{0^2-9}{0-2}=\dfrac{-9}{-2}=4.5 \implies (0,4.5)[/tex]
Mato is making a leather belt inlaid with beads. On the first day there were b beads on the belt. On
the fourth day, there were b³ beads on the same belt. There were 216 beads on the belt on the
fourth day.
How many beads were on the belt on the first day?
Answer:
6
Step-by-step explanation:
On the fourth day, there were b^3 beads and 216 beads on the belt, which means b^3 = 216. Taking the cube root of both sides, we have b = 6, which means there were 6 beads on the belt on the first day.
Answer:
6
Step-by-step explanation:
Val needs to find the area enclosed by the figure. The figure is made by attaching
semicircles to each side of a 46-m-by-46-m square. Val says the area is 1,206.12
m². Find the area enclosed by the figure. Use 3.14 for 1. What error might Val have
made?
Answer: See below
Step-by-step explanation:
Radius of the semicircle = 46/2 = 23 m
[tex]\therefore$ Area enclosed by the figure $=4 \times$ Area of semicircles + Area of square \begin{aligned} \\&=4 \times 3.14 \times(23)^{2} \times \frac{1}{2}+(46)^{2} \\&=3322.12+2116 \end{aligned} \\\\\\Area enclosed $=5438.12 \mathrm{~m}^{2}$[/tex]
So, Val might have have subtracted 2116 from 3322.12 instead of adding since 3322.12 - 2116 = 1206.12
Les gusta mi dibujo soy nueva
Answer:
Si, es muy bueno!
Step-by-step explanation:
The sides of an isosceles triangle are28 ,28 ,10 and long. What is the area of the triangle?
Answer: Approximately 137.74977 square units
===================================================
Explanation:
We can use Heron's formula to find the area of a triangle when given all three sides.
First we need the semiperimeter
s = semiperimeter
s = (perimeter)/2
s = (a+b+c)/2
s = (28+28+10)/2
s = 33
Now we can compute the area of the triangle.
[tex]A = \sqrt{s(s-a)(s-b)(s-c)}\\\\A = \sqrt{33(33-28)(33-28)(33-10)}\\\\A = \sqrt{18975}\\\\A \approx 137.74977\\\\[/tex]
answer choices 3/5, 9/16, 8/15 3/4
help me with this plssss
The length of a rectangle is 4 meters less than
wice its width. The area of the rectangle is 70.
Find the
of the rectangle.
dimensions
2. What is the value of the expression?
2.4 +3.5 x 1.7
A 7.99
B 8.35
С
9.42
D
10.03
Show your work
Answer Choice:
Answer:
B. 8.35
Step-by-step explanation:
3.5 x 1.7 = 5.95
5.95 + 2.4 = 8.35
You multiply first because of PEMDAS.
P=parenthesis
E=exponents
M=multiply
D=divide
A=add
S=subtract
For 1.8 hours, Layla drove her car east at a constant velocity. In this time, she drove 99 kilo meters and passed a motorcycle that was driving at 45 kilo meters per hour. What was her car's velocity?
Write your answer as a whole number.
kilo meters per hour to the east
Answer:
55 km/hr
Step-by-step explanation:
speed = distance / time
distance = 99 km
time = 1.8 hours
velocity = 99 km/ 1.8 hours= 55 km/hr
since distance is to the east, the velocity is also to the east
What would be your first step in solving -3x > 0?
A. multiply both sides by -3 and flip your sign
B. divide both sides by -3 and flip your sign
C. multiply both sides by 3 and flip your sign
D. divide both sides by 3 and flip your sign
Answer:
I would divide both sides by -3 then flip your sign since it is a multiplication equation in -3x which means you have to isolate it to find x.
Answer:
D
Step-by-step explanation:
You divide both sides by 3 and then you flip the sign.
Prove the trigonometric identity!
Please help!! 50 Points!
Answer:
:)
Step-by-step explanation:
For simplicity I will substitue [tex]x[/tex] for β.
[tex]1-sin(2x)=(cosx-sinx)^2\\1-2sin(x)cos(x)=cos^2x-2sin(x)cos(x)+sin^2x\\1=cos^2(x)+sin^2(x)\\1=1[/tex]
In the first step I used the identity
[tex]sin(2x)=2sin(x)cos(x)[/tex]
And I factored out [tex](cosx-sinx)^2[/tex]
Then it's just simple algebra to cancel till the 3rd step where we used another identity derived from the Pythagorean Theorem.
[tex]cos^2(x)+sin^2(x)=1[/tex]
That's it!
Need to show work for my answer working on limits
Answer:
[tex]\displaystyle \lim_{x \to \infty} \frac{-4x^8 + x^3 - x + 7}{x^4} = - \infty[/tex]
General Formulas and Concepts:
Calculus
Limits
Limit Rule [Variable Direct Substitution]:
[tex]\displaystyle \lim_{x \to c} x = c[/tex]
Step-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle \lim_{x \to \infty} \frac{-4x^8 + x^3 - x + 7}{x^4}[/tex]
Step 2: Evaluate
[Limit] Simplify:Recall that infinity in the denominator converges to 0. Therefore, we can focus on the first part:
[tex]\displaystyle \begin{aligned}\lim_{x \to \infty} \frac{-4x^8 + x^3 - x + 7}{x^4} & = -4(\infty)^4 + \frac{1}{\infty} - \frac{1}{(\infty)^3} + \frac{7}{(\infty)^4} \\& = -4(\infty)^4 \\& = -4(\infty) \\& = \boxed{- \infty} \\\end{aligned}[/tex]
∴ we have found the limit to equal negative infinity.
---
Learn more about limits: https://brainly.com/question/27517668
Learn more about calculus: https://brainly.com/question/27351658
---
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Tabp rest with friends. How many sweets will she give to her friends? 18 13. A train arrives at the station with 150 passengers on board. 25 of the passengers get off the train in Spanish town, and then 35 passengers board the train. How many passengers are on the train when it leaves the station? * Yout Youyanswer 14.30 people watched the soccer game last night. Tickets cost $2.75 each. Half of these fans bought a program at $1.50 each. How much money was collected?
Answer: it is 205 I'm not sure if it's correct or not
Look at the cube, and the net of this cube. What is the surface area of this cube? Cube with one side labeled 16 feet. Net of the same cube also shown with one side labeled 16 feet.
Answer:
[tex]486[/tex] [tex]in^2[/tex]
Step-by-step explanation:
we know that
The surface area of the cube is equal to the area of its six square faces
so
[tex]SA=6b^2[/tex]
where
b is the length side of the cube
we have
[tex]b=9[/tex] [tex]in[/tex]
substitute
[tex]SA=6(9)^2=486 in^2[/tex]
What percentage of times are between 6 and 22 hours?
16%
68%
95%
99.7%
Answer:
16 percent of times are between 6 and 22
Answer: c I think. Sorry I'm wrong. Might be a.
Step-by-step explanation:
Which pair or pairs of polygons are congruent?
pair 1
pair 2
pair 3
Answer:
C
Step-by-step explanation:
expression represents the product of b and 34?
Answer:
b*34
Step-by-step explanation:
an expression does not include an equal sign but an equation does
About 75% of the girls in grade 7 at Grande Rock Middle School prefer colored jeans to the regular blue ones. The randomly generated numbers in the table simulate this situation. The letter C represents colored jeans, and B represents blue jeans. CCCBC BBCCC CCBBC CCBBC CCCCC CCCCC BCCCC CBCCC CCCCB CCCCC BBCCC CCCBB CCCCC CBCCC BCCBC CCCBB BCCCC CCCCB CCCBC CCBCC Based on the data, the estimated probability that exactly four out of five girls prefer colored jeans is .
Answer:
To find this you do 5 x 0.75
0.75 represents the amount of girls that represent colored jeans
So the answer is 3.75
Step-by-step explanation:
Hope this helps!
Find the mean 3,4,4,2,5,7,2
Anyone know how to round 2.5678 round to the nearest half
Answer:
2.5678 to the nearest half is 13,000
Answer: I think it would be 5 1/2 or 5.5 Fraction and decimal
Step-by-step explanation: Hope this helps! :)