Answer:
-16/1
Step-by-step explanation:
-16 in the form a/b can be written as -16/1.
On March 24, 1989, the Exxon Valdez oil tanker ran aground and leaked millions of gallons of oil into Prince William Sound. The spill covered approximately 11,000 square miles of ocean. The oil spread out in a circular pattern and the radius increased by 0.10 mph. Use π = 3.14. At this rate, how many hours did it take for oil to cover the area?
Answer:
592 hours
Step-by-step explanation:
Given
[tex]Area = 11000m^2[/tex]
[tex]Radius = 0.10m/h[/tex]
Required
Determine the time taken to cover the area
Since, the oil formed a circular pattern; the question will be answered using area of a circle
[tex]Area = \pi r^2[/tex]
Let t represent the time take to cover 11000m²;
The relationship between these parameters is:
[tex]11000 = \pi * (0.10t)^2[/tex]
Substitute 3.14 for π
[tex]11000 = 3.14 * (0.10t)^2[/tex]
Divide both sides by 3.14
[tex]\frac{11000}{3.14} = \frac{3.14 * (0.10t)^2}{3.14}[/tex]
[tex]\frac{11000}{3.14} =(0.10t)^2[/tex]
[tex]3503.18471338 = (0.10t)^2[/tex]
Take square root of both sides
[tex]\sqrt{3503.18471338} = \sqrt{(0.10t)^2}[/tex]
[tex]\sqrt{3503.18471338} = 0.10t[/tex]
[tex]59.1877074516 = 0.10t[/tex]
Divide both sides by 0.10
[tex]\frac{59.1877074516}{0.10} = \frac{0.10t}{0.10}[/tex]
[tex]\frac{59.1877074516}{0.10} = t[/tex]
[tex]591.877074516 = t[/tex]
[tex]t = 591.877074516[/tex]
[tex]t = 592\ hours[/tex] (Approximated)
Hence, it'll take approximately 592 hours to cover the given area
Answer: B
592 hours
Step-by-step explanation:
56 points! Please help
Answer:
Segment bisector: JK
MN= 52
Step-by-step explanation:
The segment bisector basically means the point where the line is cut in half. If you study the figure, you can see the two small red lines intersecting The longer line. This means that the two small black segments are equal to each other. With this in mind, we now know that the segment bisector is line JK.
To find the length of MN, study the figure again. You can see that we are given the value of one line segment that is half the length of MN. So all we need to do is multiply that value by 2:
[tex]26*2=52[/tex]
The length of line segment MN is 52.
:Done
Answer:
MN = 52
Step-by-step explanation:
bisector is just a half of its length
looking through the graph
MN = 26 * 2 (just multiply ot by 2)
MN = 52
The edge length of a cube with volume 24 cubic units
Answer:
2∛3 units
Step-by-step explanation:
The volume is the cube of the edge length, so the edge length is the cube root of the volume:
s = ∛V
s = ∛24 = ∛(2³·3)
s = 2∛3
The edge length is 2∛3 ≈ 2.8845 units.
What is this answer please help someone
Answer:
I think the answer is line DE
3. What is the Kinetic Energy of a 100 kg object that is moving with a speed of 12.5 m/s?
Answer:
7812.5 J
Step-by-step explanation:
Kinetic energy is equal to 1/2 m v^2.
The mass of the object is 100 and the velocity is 12.5 m/s.
Therefore, the kinetic energy is 1/2 (100) (12.5)^2 = 7812.5 J.
Answer:
KE = ½ (100kg) (12.5 m/s)2
KE = ½ (100kg)(156.25)
KE = 7,812.5J
answer ^
Step-by-step explanation:
KE = ½ mv2
KE = ?
m = 100kg
v = 12.5m/s
is square root of 140 a rational or irrational number ?
Answer: The square root of 140 is irrational.
Step-by-step explanation:
Take the square root of 140:
11.8321595662
This is an imperfect square root, and all imperfect square roots are irrational.
There were 326 people at a matinee performance
of a play. For the evening performance, 486
people attended. Which is the most reasonable
estimate for the total number of people that saw
the show?
A. 700
B. 800
C. 900
D. 1,000
Answer:
B. 800
Step-by-step explanation:
Its b because we estimate that 326 is about 300 and 486 is about 500 and if we add tha together we get 800.
A magician flips a coin 8 times producing heads each time. Is there statistical significance to say that the coin is somehow rigged?
A. Yes, because the results are unlikely to happen by chance.
B. No, because the results are unlikely to happen by chance.
C. Yes, because the results are likely to happen by chance.
D. No, because the results are likely to happen by chance.
Answer:
A
Step-by-step explanation:
Either a or b could work, but he's a magician so it's probably rigged
Can someone help??????
Answer:
$159.5
Step-by-step explanation:
the price should be increased by 5%.
which means the old price would be 95% of the new price.
168×95=15960
15960÷100=159.6
Solve the equation x+2/3=18
Answer: x=52/3
Step-by-step explanation:
x+2/3=18
x=18-2/3 ⇔ subtraction property of equality
x=54/3-2/3 ⇔ convert integer into fraction
x=52/3
Hope this helps!! :)
Answer:
see below
Step-by-step explanation:
( x+2)/3=18
Multiply each side by 3
(x+2)/3 *3 = 18*3
x+2 = 54
Subtract 2
x+2-2 =54-2
x = 52
or if
x+2/3=18
Subtract 2/3
x+2/3 -2/3 = 18-2/3
x = 17 +1 -2/3
x = 17 1/3
Use the given conditions to write an equation in point-slope form. Keep parenthesis in point-slope form. slope = -5, passing through (4,-2)
Answer:
Step-by-step explanation:
y + 2 = -5(x - 4)
y + 2 = -5x + 20
y = -5x + 18
The volume, in cubic feet, of a right cylindrical silo of height and radius is [tex]V = \pi r^2h[/tex] The height of the silo is h(r) = 3.5r. Which statements are true regarding the functions described?
A. To get a volume of 100 cubic feet, the radius must be 2 feet.
B. The domain of [tex]V(h(r))[/tex] is restricted to values of r greater than 0.
C. The output of V is the input of h
D. [tex]V(h(r)) = 3.5\pi r^3[/tex]
E. The volume depends on the radius of the cylinder
1. The domain of [tex]V (h(r))[/tex] is restricted to values of r greater than 0.
2. [tex]V(h(r)) = 3.5\pi r^3[/tex]
3. The volume depends on the radius of the cylinder
if point C is between points A and B, then AC+CB=______?
Answer:
AB
Step-by-step explanation:
Jo is 5 cm taller than Kathy.Let k=kathy height.Then? = Jo height
Answer:
5+k
Step-by-step explanation:
Since k is Kathy's height and we know Jo is 5+ cm than Kathy. That makes Jo = 5+k
For items 21 - 23 determine whether each sequence is arithmetic. if the sequence is arithmetic, then
Answer:
see below
Step-by-step explanation:
To be arithmetic we have to add the same term each time
1,1,2,3,5,8
1+1 =2 2+1 = 3 3+1 = 4 so it is not arithmetic
20,17,14,11,8,....
Add -3
20+-3 =17 17+-3 = 14 14+-3 = 11 11+-3 = 8
This is an arithmetic sequence
The common difference is -3
The explicit formula is
an = a1+ d(n-1) where d is the common difference and a1 is the first term
an = 20 -3( n-1)
The recursive formula is
an = an-1 + d where an-1 is the previous term and d is the common difference
an = an-1 -3
3,7,11, 15
Add 4
3+4=7 7+4=11 11+4=15
This is an arithmetic sequence
The common difference is 4
The explicit formula is
an = a1+ d(n-1) where d is the common difference and a1 is the first term
an = 3 +4( n-1)
The recursive formula is
an = an-1 + d where an-1 is the previous term and d is the common difference
an = an-1 +4
Solve the problem
X/5 +4=17
Answer:
x = 65
Step-by-step explanation:
X/5 +4=17
Subtract 4 from each side
X/5 +4-4=17-4
x/5 = 13
Multiply each side by
x/5 *5 = 13*5
x = 65
Answer:
x=65
Step-by-step explanation:
x/5+4=17
solve for x by simplifying for both sides of the equation, then isolate the variable. x=65
Which statements are correct? Check all that apply.
point F → point F'
parallelogram DEFG → parallelogram G'F'E'D'
Point D of the pre-image corresponds to point D' of the image.
ED of the pre-image corresponds to G'F' of the image.
Parallelogram DEFG maps to parallelogram D'E'F'G'.
Answer:
a c e
Step-by-step explanation:
just did it
Answer:
A. Point F → point F'
C. Point D of the pre-image corresponds to point D' of the image.
E. Parallelogram DEFG maps to parallelogram D'E'F'G'.
Step-by-step explanation: This is the correct answer on Edge 2021, just did the assignment. Hope this helps ^-^.
Megan wants to order team t-shirts at $4.50 each, but she doesn’t want to spend more than $65 total. If the t-shirt company charges a one-time fee of $10 for logo application, how many t-shirts can she buy without spending more than $65? What will x represent in the equation?
the cost of the t-shirts
the number of t-shirts
the total cost
Megan’s cost
x will equal her total cost and the most she can spend on shirts without going over $65 is $63.
Sorry if it is wrong
Find a linear inequality with the following solution set. Each grid line represents one unit. [asy] size(200); fill((-5,-3)--(5,2)--(5,5)--(-5,5)--cycle,yellow); real ticklen=3; real tickspace=2; real ticklength=0.1cm; real axisarrowsize=0.14cm; pen axispen=black+1.3bp; real vectorarrowsize=0.2cm; real tickdown=-0.5; real tickdownlength=-0.15inch; real tickdownbase=0.3; real wholetickdown=tickdown; void rr_cartesian_axes(real xleft, real xright, real ybottom, real ytop, real xstep=1, real ystep=1, bool useticks=false, bool complexplane=false, bool usegrid=true) { import graph; real i; if(complexplane) { label("$\textnormal{Re}$",(xright,0),SE); label("$\textnormal{Im}$",(0,ytop),NW); } else { label("$x$",(xright+0.4,-0.5)); label("$y$",(-0.5,ytop+0.2)); } ylimits(ybottom,ytop); xlimits( xleft, xright); real[] TicksArrx,TicksArry; for(i=xleft+xstep; i 0.1) { TicksArrx.push(i); } } for(i=ybottom+ystep; i 0.1) { TicksArry.push(i); } } if(usegrid) { xaxis(BottomTop(extend=false), Ticks("%", TicksArrx ,pTick=gray(0.1),extend=true),p=invisible);//,above=true); yaxis(LeftRight(extend=false),Ticks("%", TicksArry ,pTick=gray(0.1),extend=true), p=invisible);//,Arrows); } if(useticks) { xequals(0, ymin=ybottom, ymax=ytop, p=black, Ticks("%",TicksArry , pTick=black+0.8bp,Size=ticklength), above=true, Arrows(size=axisarrowsize)); yequals(0, xmin=xleft, xmax=xright, p=black, Ticks("%",TicksArrx , pTick=black+0.8bp,Size=ticklength), above=true, Arrows(size=axisarrowsize)); } else { xequals(0, ymin=ybottom, ymax=ytop, p=axispen, above=true, Arrows(size=axisarrowsize)); yequals(0, xmin=xleft, xmax=xright, p=axispen, above=true, Arrows(size=axisarrowsize)); } }; draw((-5,-3)--(5,2),dashed+red, Arrows(size=axisarrowsize)); rr_cartesian_axes(-5,5,-5,5); for( int i = -4; i 0$ or $ax+by+c\geq0$ where $a,$ $b,$ and $c$ are integers with no common factor greater than 1.)
Make sure you don't put the code, but the url to the image itself. That way, we can try to help you :)
One number is 3/8 of another number. The difference of the two numbers is 4.2. What is the lesser number
Answer:
2.52.
Step-by-step explanation:
If one number is x then the other = 3x/8.
Also x - 3x / 8 = 4.2
x - 0.375 x = 4.2
0.625x = 4.2
x = 4.2 / 0.625
x = 6.72.
So the lesser number is 6.72 * 0.375 = 2.52.
The lesser number is 2.52
If that one number is x, then we can agree that the other number is 3x/8.
Again, we are told that the difference between both is 4.2. Which means
x - (3x / 8) = 4.2
(8x - 3x)/8 = 4.2
8x - 3x = 8 * 4.2
5x = 33.6
x = 33.6/5
x = 6.72.
This means that the lesser number is 6.72 * 0.375 = 2.52.
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The average natural gas bill for a random sample of 26 homes in the 19808 zip code during the month of March was $305.30 with a sample standard deviation of $46.50. The critical value for a 95% confidence interval around this sample mean is ________.
Answer:
2.06
Step-by-step explanation:
The formula for critical value = Margin of Error / Standard Error
Margin of Error = z × Standard deviation/√n
Mean for the month of March = $305.30
Standard deviation = $46.50
n = number of samples = 26 homes
z score for 95% confidence interval = 1.96
= 1.96 × $46.50/√26
= 17.874024556
Standard error = standard deviation/√n
= $46.50/√26
= 9.1194002839
Critical value = Margin of Error/Standard Error
= 17.874024556/9.1194002839
= 2.06
What is the solution to this system of equations using the linear combination method?
4x + y = 5
3x + y = 8
(0, – 3)
(-3, 17)
(0,5)
(2, -3)
Answer:
My answer is (-3, 17).
Step-by-step explanation:
You will use minus sign for the equation in other to eliminate one of the letters and use the other one to find the one eliminated later...Which means that 4x+y=5 (-) 3x+y=8..... the minus sign will eliminate +y and +y in each equation because the "+y" in the second equation will be turned to -y because + times(×) - will give us minus sign so the "y" will be eliminated to give space for the 'x" .After the x has been found which is x=-3 then you will substitute x=-3 into the any equation and then you will also find the "y" which is y=17.....Thank you
"-8 is 12 less than a number."
Answer:
The answer would be x<4
What integer is closest to −7π?
Answer:
[tex]\Huge \boxed{-22}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]-7\pi[/tex]
We can take pi as 22/7.
[tex]\Longrightarrow \displaystyle \ \ -7 \times \frac{22}{7}[/tex]
[tex]\Longrightarrow \displaystyle \ \ 22 \times \frac{7}{-7}[/tex]
[tex]\Longrightarrow \displaystyle \ \ 22 \times -1[/tex]
[tex]\Longrightarrow \displaystyle \ \ -22[/tex]
[tex]\rule[225]{225}{2}[/tex]
The integer closet to -7π is -22.
What is integer?An integer is a number that includes both negative and positive numbers, including zero, and does not have a decimal or fractional component. Examples of integers include: -5, 0, 1, 5, 8, 97, and 3,043. Z is a set of integers that includes the following:
Positive figures: If a number is greater than zero, it is positive. Example: 1, 2, 3 . . .
Negative Counts: If a number is less than zero, it is negative. Example: -1, -2, -3 . . .
Zero cannot be thought of as either a negative or a positive number. It's a complete number.
Given -7π
the value of π in fraction form is 22/7
substitute the value of π
-7π = -7 x 22/7
-7π = -22
Hence, -22 is integer is closest to −7π.
Learn more about integer;
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If point X is between W and Y then WX + XY = WY.
always
sometimes
never
Answer:
Always
Step-by-step explanation:
lets say WY = 8
WX = 2
hope this helps
XY = 6
WX(2) + XY(6) = 8
Answer:
always
Step-by-step explanation:
A professor would like to test the hypothesis that the average number of minutes that a student needs to complete a statistics exam is equal to 45 minutes. The correct hypothesis statement would be
Answer:
H0 : u = 45
H : u not equal to 45
This is because the topic of claim or contention is that the average minutes a student need to complete the statistics exam is 45mins
how the number e was discover
Answer:
It was that great mathematician Leonhard Euler who discovered the number e and calculated its value to 23 decimal places. It is often called Euler's number and, like pi, is a transcendental number (this means it is not the root of any algebraic equation with integer coefficients
John left his house in Irvine at 8:20 AM to drive to a meeting in Los Angeles, 45 miles away. He arrived at the meeting at 9:50 AM. At 5:30 PM, he left the meeting and drove home. He arrived home at 7:45 PM.
We started with five gallons of an orange drink that was 90% water and 10% syrup. We added 1 gallon of concentrate and ended up with a resulting mixture that was 86% water and 14% syrup. Determine what percent of the concentrate was water and what percent was syrup.
Answer:
The gallon of concentrate was 66% water and 34% syrup.
Step-by-step explanation:
- The first thing is to know how much water and how much syrup have the 5 gallons.
90% water and 10% syrup.
- If we have 5 gallons with the same percentages then:
Where X is the percentage that we do not know.
(90 + 90 + 90+ 90 + 90 + X) / 6 = 86
(90 + 90 + 90+ 90 + 90 + X) = 516
X = 66
The answer is 66% water in the gallon added.
A survey of 116 law firms in a country found that the average hourly billing rate for partners was $578.
a. all people in the country.
b. the law firms that were surveyed.
c. all partners.
d. all law firms in the country.
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
The correct option is d
b
The correct option is b
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 116[/tex]
The mean is [tex]\= x = \$578[/tex]
Generally the population is all law firms in the country because it is the entire pool from which a statistical sample is drawn
The sample are the law firm that where surveyed because it is the statistical sample is drawn from the population