E. None of the above
You will go to jail and you don't want that right? Right. So listen to the officer. Then when the time is right, break those handcuffs, push the cops on to the ground and run to the hills where no one will find you ever again.
Clem and Clyde have a farm with three different crops: a square field of corn, a rectangular field of artichokes, and a right-triangle grove of walnut trees (as shown at right). A fence totally surrounds the farm. Find the total area of Clem and Clyde's land in square miles and tell them how much fencing they need to enclose the outside of their farm.
Answer:
The total area of the land is 4.4 square mi.
The length of the fence should be 9.2 mi.
Step-by-step explanation:
Consider the provided information.
The required figure is shown below:
First, we need to find the Hypotenuse of the triangle by using the Pythagoras theorem.
[tex](\text{Hyp})^2=(1.6)^2+(1.2)^2[/tex]
[tex](\text{Hyp})^2=2.56+1.44[/tex]
[tex](\text{Hyp})^2=4[/tex]
[tex]\text{Hyp}=2[/tex]
So, the hypotenuse of the triangle is 2 mi. Also, the hypotenuse of the triangle is the side of the rectangle.
Total area = Area of square + Area of Triangle + Area of rectangle
Total area = [tex]1.2\times 1.2+\frac{1}{2}(1.2)(1.6)+2\times 1[/tex]
Total area = [tex]1.44+0.96+ 2[/tex]
Total area = 4.4 square mi.
Now calculate the fencing they need to enclose the outside of their farm.
For this add the length of the red lines shown in the figure below:
[tex]\text{Fence length outside the farm}=1.2+1.6+1+2+1+1.2+1.2[/tex]
[tex]\text{Fence length outside the farm}=9.2[/tex]
Hence, the length of the fence should be 9.2 mi.
What is 4/5-2/3 subtracted?
Answer:
2/15
Step-by-step explanation:
LCD(4/5, 2/3) = 15
so then when you find the Least Common Denominator it will be 12/15-10/15 and then it equals 2/15
Answer:
2/15
Step-by-step explanation:
8+4(3(-2)+-4) plzz solve help a personn
i got a 10 but other apps say -32 can smone explainn
Answer:
8+4(3(-2)+-4)
Solve brackets first
8+4(-6+-4)
8+4(-6-4)
8+4(-10)
8+-40
8-40
= -32
Step-by-step explanation:
8+4(3(-2)+-4)
= 8+4 (-6-4)
=8+4(-10)
=8-40
=-32
write as single power of 3?
(3^-9)^6
Answer:
The single power of 3 is 3 ^ -54.
Hope it will help :)❤
Answer:
[tex]3^{-54}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then
[tex](3^-9)^{6}[/tex]
= [tex]3^{(-9(6))}[/tex]
= [tex]3^{-54}[/tex]
Simplify: 4(x+10) -30 + 6x
Answer:
10x+10
Step-by-step explanation:
distrubute 4(x+10)-30+6
subctract 4x+40-30+6
combine 10x+10
The charity gala will cost $546 if it has 42 attendees. How many attendees can
there be, at most, if the budget for the charity gala is $559? Assume the
relationship is directly proportional.
Answer:
546/42= 13
559/13= 43
43 attendees
5) Write the expression as a product of two factors.
12x + 18y - 60
a) (2x + 3y - 60)
b) (x + y)(12 + 18 - 60)
c) 6(2x + 3y - 10)
d) (12x + 18y)(-60)
Answer:
c) is the right answer.
Step-by-step explanation:
The Skills needed are: GCF, Division, and Factoring
If you want a product of 2 factors, and you have 2 variables, one of the factors will be a number.
Here we have:
12x + 18y-60
1) We need to find the GCF (Greatest Common Factor) of all coefficients (12,18, and 60)
-12's factors are: 1,2,3,4,6,12
-18's factors are: 1,2,3,6,9,18
-60's factors are: 1,2,3,4,5,6,10,12,15,20,30,60
The GCF, or the biggest factor all these numbers share is: 6
2) So we can take out the 6 from all of these.
-12x/6=2x
-18y/6=3y
-60/6=10
Our new expression with the 6 taken out would be: 6(2x + 3y - 10)
The only answer that has this is c)
Hope you understood and have a nice day!!
HELP ASAP PLEASE (20 points)
An open-topped box is to be created from a 100 cm by 80 cm piece of cardboard by cutting out a square of side length x from each corner.
a) Write an expression for the volume of the box in terms of x.
b) Write an expression for the surface area of the open-topped box in terms of x.
c) Write a simplified expression of the ratio of the volume of the box to the surface area.
d) Refer to your answer in part (c). State the restrictions on x
a) Volume = x(100 - 2x)(80 - 2x).
b) Surface Area = (100 - 2x)(80 - 2x) + 4x(100 - 2x) + 4x(80 - 2x).
c) Ratio = x(100 - 2x)(80 - 2x) / [(100 - 2x)(80 - 2x) + 4x(100 - 2x) + 4x(80 - 2x)].
d) Restrictions: 0 < x ≤ 40 and x < 50. (Positive dimensions, non-zero volume, and avoiding non-physical dimensions)
a) The box will have a height of x and a base of (100 - 2x) cm by (80 - 2x) cm.
Thus, the expression for the volume of the box in terms of x is:
Volume = x × (100 - 2x) × (80 - 2x)
b) To find the surface area of the open-topped box,
consider the area of the bottom (100 - 2x) × (80 - 2x) and the four sides.
The sides have a width of x and a length of 100 - 2x or 80 - 2x, so the surface area expression is:
Surface Area = (100 - 2x) × (80 - 2x) + 4x × (100 - 2x) + 4x × (80 - 2x)
c) To find the ratio of the volume to the surface area,
divide the volume expression by the surface area expression:
Ratio = Volume / Surface Area
Ratio = [x × (100 - 2x) × (80 - 2x)] / [(100 - 2x)× (80 - 2x) + 4x × (100 - 2x) + 4x ×(80 - 2x)]
d) To identify restrictions on x, consider practical aspects of the box.
The value of x must be positive since we're cutting squares from the corners.
Also, the value of x cannot exceed half the length of the sides
(100/2 = 50 and 80/2 = 40)
because if x is greater than half, then the box will have a negative or zero dimension, which is not meaningful. So, the restrictions are:
0 < x ≤ 40 (to ensure positive dimensions and non-zero volume)
x < 50 (to avoid non-physical dimensions)
learn more about Volume here
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A girl’s name is ""Olivia Summer"" so her initials are OS. How many people need to be in an auditorium to ensure that at least 4 people in that room have the same pair of initials?
Answer:
2704
Step-by-step explanation:
My probability math is a bit rusty, but here's my reasoning.
Assuming that it is a 1/26 chance someone has the same first inital as you (which isn't true, some initials are more prominent than others) and a 1/26 chance that somone has the same last inital as you (also not true) then it would be a 1/26 x 1/26 chance to find someone with the same first and last inital as you
To find 4 people in a room with the same inital would be 26 x 26 x 4, or 2704. If we are counting Olivia as a fifth person, then it would be 26 x 26 x 5, or 3380.
I need help! I will mark brainliest if correct, am I correct
Answer:
i think you are correct.
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!
The probability that event A occurs is 30 % and the probability that event B occurs is 45 %. Fill in the blanks.
If the probability of both events occurring is 3%, then P(A|B)≈ _BLANK_% and P(B|A)= _BLANK_%.
Options:
2
7
12
10
20
15
67
Answer:
7%, 10%
Step-by-step explanation:
Man, I'm doing AP Stats homework right now and it's on conditionals too.
P(X given Y) = P(X and Y)/P(Y) = 0.03/0.45 = 1/15 for A|B
and thus 0.03/0.30 = 1/10 for B|A
So 7% and 10% are the answers.
Can someone please help me
Answer: the second one
Step-by-step explanation:
because [tex]-4^{4}[/tex]= -256
2. Select all the systems of equations that have exactly one solution.
(Select 2) *
8 points
A.
S y = 3x + 1
y=-3x +7
B. S y = 3x+1
y=x+1
A
B
C.
S y = 3x + 1
D.
y = 3x +7
y=-x+ 10
y = 1x + 10
С
D
Answer:
write question properly
A treasure chest things that are right no less than 20 ft./s. The floor of the ocean is at most at -4200 feet. Will the treasure chest reach the ocean floor in the snow three minutes? Explain
Answer:
No
Step-by-step explanation:
Number of feets per second of treasure chest = 20ft / s
Depth of ocean floor = - 4200
To know if chest will reach ocean depth in 3 minutes ; use the Relation :
Distance = speed * time
Time = 3 minutes = (3 * 60) = 180 seconds
Depth of chest after 180 seconds :
-20 * 180 = - 3600 feets
Hence, chest can't reach ocean floor in 3 minutes
-4200 feets is deeper than - 3600 feets
☆pls help no one has helped me and I'm so confused!
Answer:
Step-by-step explanation:
a). [tex]\frac{5\pm\sqrt{-4}}{3}[/tex] = [tex]\frac{5}{3}\pm \frac{\sqrt{-4}}{3}[/tex]
= [tex]\frac{5}{3}\pm\frac{2\sqrt{(-1)} }{3}[/tex]
= [tex]\frac{5}{3}\pm\frac{2i}{3}[/tex] [Since, i = [tex]\sqrt{(-1)}[/tex]]
b). [tex]\frac{10\pm\sqrt{-16}}{2}[/tex] = [tex]\frac{10}{2}\pm \frac{\sqrt{-16}}{2}[/tex]
= [tex]5\pm \frac{4\sqrt{-1}}{2}[/tex]
= 5 ± 2i [Since, i = [tex]\sqrt{(-1)}[/tex]]
c). [tex]\frac{-3\pm \sqrt{-144}}{6}[/tex] = [tex]-\frac{3}{6}\pm \frac{\sqrt{-144}}{6}[/tex]
= [tex]-\frac{3}{6}\pm \frac{12\sqrt{-1}}{6}[/tex]
= [tex]-\frac{1}{2}\pm 2\sqrt{-1}[/tex]
= [tex]-\frac{1}{2}\pm 2i[/tex] [Since, i = [tex]\sqrt{(-1)}[/tex]]
this table represents a function. plot points to represent the function as a graph. x. -4 , -1, 0, 2. y. 9, 3, 1, -3
Answer:
-4,9
Step-by-step explanation:
(its kind of confusing but i will try my best to help) i get that anwser from the x cordinate -4 and y coordinate 9
A swimmer enters the water and swims in a straight line at 54 meters per minute. Another swimmer enters the water
3 minutes later, swimming in the same direction at 134 meters per minute. Which parametric equations could model
the swimmers' paths from the time the first swimmer entered the water?
Answer:
[tex]x(t) = 54t[/tex] and [tex]y(t) = 134(t - 3)[/tex]
Step-by-step explanation:
Represent the swimmers with A and B
For Swimmer A:
[tex]Rate = 54m/min[/tex]
For Swimmer B:
[tex]Rate = 134m/min[/tex]
Required:
Write a parametric equation
For Swimmer A:
If swimmer A covers 54 meters in 1 minutes, then the swimmer covers 54t in t minutes
So, the function is:
[tex]x(t) = 54t[/tex]
For Swimmer B:
If swimmer A covers t minutes, swimmer B swims for (t - 3) minutes because swimmer B starts 3 minutes later.
If in 1 minutes, swimmer B covers 134 minutes; In (t - 3) minutes, the swimmer covers 134(t - 3)
So, the rate is:
[tex]y(t) = 134(t + 3)[/tex]
Hence, the parametric functions are:
[tex]x(t) = 54t[/tex] and
[tex]y(t) = 134(t - 3)[/tex]
Answer:
A on Edge
Step-by-step explanation:
Mom buys a rectangular rug with an area of LaTeX: 7\frac{1}{6}7 1 6 square meters. The length of the rug is LaTeX: 3\frac{1}{3}3 1 3 meters. What is the width of the rug?
Answer:
2 3/20 metres
Step-by-step explanation:
Area of the rug = Length × width
Given
Area = 7 1/6 metres = 43/6 m
Length = 3 1/3 metres = 10/3 m
Required
Width
From the formula
A = LW
W = A/L
Substitute the given values
W = 43/6÷10/3
W = 43/6×3/10
W = 43/2 ×1/10
W = 43/20
W = 2 3/20 m
Hence the width of the rug is 2 3/20 metres
Answer:
32
Step-by-step explanation:
7 x 6 is 32 so u get that
CAN SOMEONE LS HELP WITHT THIS ASAP PLEASE
Answer:
x = 10
y = 20
Step-by-step explanation:
Hope this hepls you.
Is 6 plants in 1 square yard and example of a unit rate or a rate?
Answer:
Its an example Unit rate becuase theres the #1 in it and its constant
Step-by-step explanation:
A rate is more like a ratio of 2 different number
3:6
or
9:18
When these are simplified you’ll get 1 in one of the 2 numbers but then it would be a unit rate
Rate= no #1
Unit rate= Defined as a number 1
14/25/7/60 + 6/5 =
Please help me
Fast!
Answer:
It's 6 in scientific calculator
Step-by-step explanation:
Hope it helps bye have a good day!
Answer: 1.20133333333 repeatedly
Chirstine baked a pumpkin pie. She ate 1/6 of the pie. Her brother ate 1/3 f it ang gave leftovers to his friends. What fraction of the pie did he give to his freinds?
Answer:
1/2
Step-by-step explanation:
Let the total pie be 2
She ate 1/6
Her brother ate 1/3
If she gave her Friend the remaining, the fraction of the amount her friend collected is expressed as:
1-(1/6+1/3)
= 1-((1+2)/6)
= 1-3/6
= 1 - 1/2
=1/2
Hence the fraction she gave her friend is 1/2
if 15 sandwiches are sold for 12 Rand what would 12 sandwiches be sold for
Answer:
$9.60 for 12 sandwiches
To solve the problem we will calculate the cost of 1 sandwich first.
The cost of 12 sandwiches is 9.6 Rands.
Given
15 sandwiches are sold for 12 Rand
What is the value of 1 sandwich?We know the cost of 15 sandwiches is 12 Rand, therefore,
[tex]\text{Cost of 1 Sandwich} = \dfrac{\rm 12\ Rand}{\rm 15\ Sandwich}[/tex]
[tex]\text{Cost of 1 Sandwich} = \dfrac{12}{15} = 0.8\ \rm Rand/Sandwich[/tex]
What is the cost of 12 Sandwiches?The cost of 12sandwiches can be calculated using the cost of 1 sandwich,
[tex]\text{Cost of 12 Sandwiches} = \text{Cost of 1 sandwich} \times 12[/tex]
[tex]= 0.8 \times 12 = 9.6\ \rm Rand[/tex]
Hence, the cost of 12 sandwiches is 9.6 Rands.
Learn more about Cost:
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Find the intercept
5x+3y=15
X-intercept:
Y-intercept:
Answer:
X: x=3-3/5y
Y: y=5-5/3x
Step-by-step explanation:
For X:
-3y on both sides will result in:
5x=15-3y
5x/5=15/5-3y/5 (divide 5 on both sides)
x=3-3/5y
For Y:
-5x on both sides will result in:
3y=15/3-5x/3 (divide 3 on both sides)
y=5-5/3x
please mark brainliest
The length of a rod correct to the nearest cm is 75 cm.
Calculate the greatest possible length of 12 such rods.
Answer:
The greatest possible length is 900 cm
Step-by-step explanation:
Here, we want to calculate the greatest possible length of 12 of those rods
Firstly, we assume that the rods have a length of 75 cm
This will give the greatest possible length of each of the rods
So the possible length of 12 of these will be
12 * 75 = 900 cm
Write an equation in slope-intercept form for the line passing through the pair of points.
(-2,-2). (-3,5)
Answer:
y=-7x-16
Step-by-step explanation:
The combined age of Bill and Ted is
more than 30 years. Bill is four years
younger than Ted. How old is Bill?
Bill's age = b
Help needed plzzzzzzzzzz!!!!!!!
What is an equation of the line that passes through the points (7,-6) and (3.-6)2
Answer:
y=-6
Step-by-step explanation:
y=mx+b, b is the y-intercept, m is slope
slope (m)= rise/run
(-6--6)/(7-3)=
0/4=
0
So plug it in.
y=(0)x+b
y=b
But what is y?
Pick either coordinate and plug the y-value into the equation y=b.
Now you have -6=b
So the final equation is y=-6.
It doesn't matter what the x value is, it's going to be multiplied by 0, the y coordinate on this line will always be -6.
Alternatively, you can plot it out, both (7,-6) and (3,-6) have the same y coordinate, therefore you can immediately see that the slope=0 because it's just a horizontal line.
7x + 2y = 17
2x - 2y = 1
=
Answer:
[tex](2,\frac{3}{2}})[/tex]
Step-by-step explanation:
For finding the system of equations you can use one of two methods. There's the elimination method and also the substitution method. For this I think the best way we could go at solving this is by using the elimination method. Since we can eliminate the 2y. We can then solve for x and then we'll go from there.
[tex]\left \{ +{{7x+2y=17} \atop {2x-2y=1}} \right. \\\\9x=18\\x=2[/tex]
Now that we know what x is we can substitute it for one of the equations and then we will be able to solve for y.
[tex]7x+2y=17\\7(2)+2y=17\\14+2y=17\\2y=3\\y=\frac{3}{2}[/tex]
So now we have the x and the y and once we place them together we can get the solution of those two equations, and the solution is [tex](2,\frac{3}{2}})[/tex].