Justin’s average speed on his was from Hyannis to Dennisport will be [tex]20[/tex] miles per hour and average speed on his trip from Boston to Dennisport will be [tex]35\frac{5}{9}[/tex] miles per hour.
What is average speed ?Average speed is s the total distance traveled by the object in a particular time interval.
Average speed [tex]=\frac{Total\ Distance}{Total\ Time}[/tex]
We have,
Distance from Boston to Hyannis [tex]=70[/tex] miles
Time from Boston to Hyannis [tex]=1\ hr\ and \ 45\ minutes = 105\ minutes[/tex]
Distance from Hyannis to Dennisport [tex]=10[/tex] miles
Time from Hyannis to Dennisport [tex]=30[/tex] minutes
So,
Total distance travelled [tex]=70+10=80[/tex] miles
Total time taken [tex]=105+30=135\ minutes[/tex]
[tex]= \frac{135}{60} \ hours= \frac{9}{4}\ hours[/tex]
So,
Average speed on his was from Hyannis to Dennisport [tex]= \frac{10}{\frac{30}{60} }[/tex]
[tex]=\frac{60}{3}=20[/tex] miles per hour
And,
Average speed on his trip from Boston to Dennisport [tex]=\frac{80}{\frac{9}{4} }[/tex]
[tex]=35\frac{5}{9}[/tex] miles per hour
Hence, we can say that Justin’s average speed on his was from Hyannis to Dennisport will be [tex]2[/tex]miles per hour and average speed on his trip from Boston to Dennisport will be [tex]35\frac{5}{9}[/tex] miles per hour.
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express 7 minutes, 30 seconds as a percentage of 1 hour
Answer:
did u mean 7 minutes & 30 seconds or
do you need seperate percentage for each ???
Answer:
420 i think
Step-by-step explanation:
7 mins
7×60
=420
plus the 30sec
450 sec
450/3600×100
45000/3600
450/36
12.5
Sandy planted a tree and wanted to record its growth. The graph shows growth of the
tree over time.
1
The equation for the tree's growth is y =
+ 20.
2x
Select the meaning of the slope and y-intercept from the drop-down menus.
The given equation of the height of the tree is the equation of a straight line.
The slope is the number of units of growth each time period.The y-intercept is the initial height of the tree.Reasons:
1. The equation of the tree's growth is presented as follows;
y = 20 + 2·x
The equation of the tree is in the form of the equation of a straight line,
which is, y = m·x + c
Where, by comparison, we have;
m = The slope = 2
c = The y-intercept = 20
y = The height of the tree
x = The time of measurement of the growth of the tree
Therefore;
The slope = The height to which the tree grows within each time period.Therefore, the tree grows by 2 units of the height each time period of measurement
The y-intercept = The height of the tree at the start of the measurement.Therefore, the tree was 20 units of the length measurement at the start of the record.
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Answer:
Step-by-step explanation:
First Box: In the scenario, the slope represents
the growth rate of the tree per year.
Second Box: In the scenario, the y-intercept represents
the tree's initial height.
Ki has captured many yellow-spotted salamanders. He weighs each and then
counts the number of yellow spots on its back. This trend line is a fit for
these data.
A. parabolic
B. strong
c. weak
D.negative
Answer:
B
Step-by-step explanation:
Guys can u help me on this one pls it's math
Answer:
B.O.D.M.A.S
Step-by-step explanation:
B: Bracket
O: Operation
D: Division
M: Multiplication
A: Addition
S: Subtraction
Follow these steps.
Hope you understand ^^
Answer:
✏️ AnswerOn the pic. ↑Step-by-step explanation:
Hope it's help#CarryOnLearning#BrainlyPhxXxNoyaxXxSeth has 15 cans of regular soda and 20 cans of diet soda. He wants to create some identical refreshment tables that will operate during the high school football game. He also doesn't want to have any sodas left over. What is the greatest number of refreshment tables that Seth can stock? How many regular sodas will be at each table? How many diet sodas will be at each table?
Compute the integral Z Z Z U y dV , where U is the part of the ball of radius 2, centered at (0, 0, 0), that lies in the 1st octant. Recall that the first octant is the part of the 3d space where all three coordinates x, y, z are nonnegative. (Hint: You may use cylindrical or spherical coordinates for this computation, but note that the computation with cylindrical coordinates will involve a trigonometric substitution - so spherical cooridnates should be preferable.)
As the hint suggests, convert to spherical coordinates using
x = p cos(u) sin(v)
y = p sin(u) sin(v)
z = p cos(v)
dV = dx dy dz = p² sin(v) dp du dv
Then U is the set
[tex]U = \left\{ (p,u,v) \mid 0\le p\le2 \text{ and } 0\le u\le \dfrac{\pi}2 \text{ and } 0\le v\le\dfrac{\pi}2\right\}[/tex]
and the integral of y over U is
[tex]\displaystyle \iiint_U y \, dV = \iiint_U p\sin(u)\sin(v) \cdot p^2 \sin(v) \, dV[/tex]
[tex]\displaystyle \iiint_U y \, dV = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \int_0^2 p^3 \sin(u) \sin^2(v) \, dp \, du \, dv [/tex]
[tex] \displaystyle \iiint_U y \, dV = \frac{2^4-0^4}4 \int_0^{\frac\pi2} \int_0^{\frac\pi2} \sin(u) \sin^2(v) \, du \, dv [/tex]
[tex]\displaystyle \iiint_U y \, dV = 4 \cdot \left(-\cos\left(\frac\pi2\right) + \cos(0)\right) \int_0^{\frac\pi2} \sin^2(v) \, dv [/tex]
[tex]\displaystyle \iiint_U y \, dV = 4 \cdot \frac12 \int_0^{\frac\pi2} (1-\cos(2v)) \, dv [/tex]
[tex]\displaystyle \iiint_U y \, dV = 2 \left(\left(\frac\pi2 - \frac12 \sin\left(2\cdot\frac\pi2\right)\right) - \left(0 - \frac12 \sin\left(2\cdot0\right)\right) \right)[/tex]
[tex]\displaystyle \iiint_U y \, dV = \pi - \sin(\pi) = \boxed{\pi}[/tex]
pls help fastttttttttttttttttttttttttt
Answer:
y = 5 x + 7
Step-by-step explanation:
Suppose Steve changed $250 into 200 Euros. How many Euros did he receive per US dollar?
Answer:
0.8 Euros
Step-by-step explanation:
Per US Dollar means its a proportion that the question is asking for. So, you can do 200/250 and get the answer.
Write a variable expression for the length of the bottom black bar with a being the length of the orange bar:
Answer:
orange divide by 3?
Step-by-step explanation:
looking at the graph, it looks like orange is 3x the length of black,
so black will be Orange/3
Due Tomorrow: answer question 4 with steps
Answer:
Step-by-step explanation:
Question 4
we have two sides and an angle so we should use law of cosines to solve for c
[tex]7=\sqrt{5^2+c^2-2*5*c*cos(35)}\\\\49=25+c^2-10*c*cos(35)\\25=c^2-8.19152044289c\\c^2-8.19152044289-25=0\\[/tex]
(using the quadratic formula)
c=10.48131
To solve for b use the law of cosines again
[tex]5=\sqrt{7^2+10.48131^2-2*7*10.48131*cos(B)\\[/tex]
B=24.1858343432
A shoe store uses a 40% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of $71?
Answer:
40% * 71 = Markup price
40% of 71 is 28.4, so i added the two together and got 99.4
so...
$28.4 + $71 = $99.40
distance from the point to 0, so it can never be
negative.
a. Coordinate plane
b. Opposite
c. Absolute value
d. Quadrant
distance from the point to O, so it can never be negative so answer is
b.oppsite
Natasha earns $425 a week. How many weeks does it take before she has
earned more than $12, 000
Answer:
29
Step-by-step explanation:
12000/425
Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 240 mg and a standard deviation of 47 mg. In a random sample of 600 adults, how many consume at least 320mg of caffeine daily?
The confidence interval is between (48.2%, 57.7%)
Using the proportion formula expressed as:
[tex]CI=p\pm z\cdot \sqrt{\frac{p(1-p)}{n} }[/tex]
Get the proportion:
p = 320/600 = 0.53
[tex]z=\frac{x- \mu}{\sigma}[/tex]
[tex]z = \frac{320-240}{47}\\z=\frac{80}{47}\\z= 1.70[/tex]
Substitute into the formula to get the confidence interval to have:
[tex]CI=0.53\pm 1.7\cdot \sqrt{\frac{0.47}{600}}\\CI = 0.53\pm 0.04757\\CI = (0.53-0.04757, 0.53+0.04757)\\CI = (0.482, 0.577)[/tex]
Hence the confidence interval is between (48.2%, 57.7%)
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evaluate the expression 5+3
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
5 + 3 = 8
-Lexi
Rewrite 2/9+5/12 with a common denominator.
Step-by-step explanation:
direct add the upper both numerator and bottom both denominator ,Then you will get the answer,Then reduce it to lowest form
sorry for bad english
edit:Wrong answer
2/9 + 5/12
LCM = 36
=》2/9 = 2×4/9×4 = 8/36
=》5/12 = 5×3/12×3 = 15/36
2/9 + 5/12
= 8/36 + 15/36 (LCM = 36)
= 23/36 -----> 2/9 + 5/12 with a common denominator.
________
Hope it helps ⚜
Two computers just scanned for viruses at the same time. Computer A runs a virus scan every 3.75 days. Computer B runs a virus scan every 4.5 days. How long will it be until both computers runs a virus scan at the same time again?
Answer:
Step-by-step explanation:
List out multiples for both 3.75 and 4.5
3.75+3.75=7.5
7.5+3.75=11.25
11.25+3.75=15
15+3.75=18.75
18.75+3.75=22.5
4.5+4.5=9
9+4.5=13.5
13.5+4.5=18
18+4.5=22.5
At 22.5 days will both computers scan at the same time
If computer A runs a virus scan every 3.75 days. Computer B runs a virus scan every 4.5 days. It takes 22.5 days to be until both computers to run a virus scan at the same time again
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, two computers just scanned for viruses at the same time. Computer A runs a virus scan every 3.75 days. Computer B runs a virus scan every 4.5 days.
We have to add the multiples of 3.75 days for computer A as,
3.75+3.75=7.5
7.5+3.75=11.25
11.25+3.75=15
15+3.75=18.75
18.75+3.75=22.5
For computer B
4.5+4.5=9
9+4.5=13.5
13.5+4.5=18
18+4.5=22.5
22.5 is the common multiple for both cases,
Thus, if computer A runs a virus scan every 3.75 days. Computer B runs a virus scan every 4.5 days. It takes 22.5 days to be until both computers to run a virus scan at the same time again.
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2. Write an equation of the line that passes through (-2,3) and is parallel to the line y=2x-1.
Hello there! :)
Parallel lines have identical slopes.
So if one line has a slope of 2, then the line parallel o it would have the same slope.
Now, use the Point-Slope form:
y-y1=m(x-x1)
y-3=2(x-(-2)
y-3=2x+4
y=2x+4+3
y=2x+7
Therefore, the equation of the line is: y=2x+7Hope this helps!
~Just a cheerful gal
#CarryOnLearning
[tex]SilentNature :)[/tex]
7-2×8+1 evaluate each of the following
Answer:
-8
Step-by-step explanation:
u just do the 2x8 first
Hi! So in equations similar to this, you will need to use PEMDAS.
P - Parenthesis
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
Now that you know this, reevaluate your equation.
7-2x8+1
Firstly, you must multiply -2 and 8. Leaving you with -16.
7-16+1
Next, subtract 16 from 7.
-9 + 1
Finally, add -9 and 1.
-8
Your final answer is -8.
A moving company charges $450 plus $12 per hour. Another moving company charges $21 per hour. How long is the job that costs the same no matter which moving company is used?
Answer:
50 hours
Step-by-step explanation:
1/2+y=5 1/4 complete the following addition equations
Answer:
So first you can find a common denominator to make this equation solvable
in this case 4 is the common denominator
2/4+y=5 1/4
Now subtract to isolate the variable (y)
4 3/4 =y
How much wax is needed to make one spherical candle?
Answer:
In this example, you would need at least 7.9 pounds of wax to fill (25) 8 oz Candle Tins. It is a good idea to round up this number. It's always better to have a little wax left over than to not have enough!
Step-by-step explanation:
Solve for x. x+12−−−−−√=x√+2
~equality
x + 12 = x√+2
= x + 12 = √2 x
= x = √2 x - 12
= x - √2 x = -12
= (1 - √2)x = -12
= x = -12/1- √2
= x = -(-12(1 + √2))
= x = -(-12 - 12√12)
= x = 12 + 12√2 ✔️
~ nice to help you ^^
Carl is planting an herb garden. If his garden has 3 rows and he can plant 3 herbs in a row, how many herbs can he grow?
Answer:
He can grow 9 herbs.
Step-by-step explanation:
3rows x 3plant herbs per row = 9 herbs to grow
Hope this helps :)
Write money amounts using a leading zero if necessary & with 2 decimal places (For example: 0.80 or 0.72 or 1.23)
630 miles in 10 hours
miles per hour
donut hole per kid
24 donut holes for 8 kids
$
$3.50 for 5 lbs. of apples
$32 for a 14 2/9 km taxi ride.
per pound
per km
$
9514 1404 393
Answer:
63 mph3 donut holes per kid$0.70 per pound$2.25 per kmStep-by-step explanation:
In this context, "per" and "for" mean "divided by."
630 mi/(10 h) = 63 mi/h(24 dh)/(8 kid) = 3 dh/kid$3.50/(5 lb) = $0.70 /lb$32/(14 2/9 km) = $32/(128/9 km) = $(9/4)/km = $2.25 /kmSimplify 10 over 13
Answer:
10/13
Step-by-step explanation:
It's already simplified luv
148 oz = ________ lb _______ oz
Explain yourself
Henry was granted a loan of £96.00. The interest rate was 24% per annum. Calculate the interest at the end of the year
Answer:
110.00
Step-by-step explanation:
What is the product 1.3 × 0.71? Enter your answer in the box.
Answer:
.923
Step-by-step explanation:
1.3 X 0.71 = .923
:))
Solve the problem below by finding a common denominator.
5/6+1/8
Answer:
5/6+1/8 = 23/24
Step-by-step explanation:
The lowest common denominator here is the smallest denominator that can be divided evenly by both 6 and 8. It is 24. Note that 6 = 2·3 and that 8 = 2·2². We use the factors 2³ and 3 to come up with the LCD 24.
Then 5/6 + 1/8 can be rewritten with this LCD as:
20/24 + 3/24 = 23/24
5/6+1/8 = 23/24