Answer:
t = sqrt((2 z)/h + ((q_1)^2)/(h^2)) - q_1/h or t = -q_1/h - sqrt((2 z)/h + ((q_1)^2)/(h^2))
Step-by-step explanation:
Solve for t:
z = (h t^2)/2 + t q_1
z = (h t^2)/2 + t q_1 is equivalent to (h t^2)/2 + t q_1 = z:
(h t^2)/2 + t q_1 = z
Divide both sides by h/2:
t^2 + (2 t q_1)/h = (2 z)/h
Add q_1^2/h^2 to both sides:
t^2 + (2 t q_1)/h + q_1^2/h^2 = (2 z)/h + q_1^2/h^2
Write the left hand side as a square:
(t + q_1/h)^2 = (2 z)/h + q_1^2/h^2
Take the square root of both sides:
t + q_1/h = sqrt((2 z)/h + q_1^2/h^2) or t + q_1/h = -sqrt((2 z)/h + q_1^2/h^2)
Subtract q_1/h from both sides:
t = sqrt((2 z)/h + ((q_1)^2)/(h^2)) - q_1/h or t + q_1/h = -sqrt((2 z)/h + q_1^2/h^2)
Subtract q_1/h from both sides:
Answer: t = sqrt((2 z)/h + ((q_1)^2)/(h^2)) - q_1/h or t = -q_1/h - sqrt((2 z)/h + ((q_1)^2)/(h^2))
PLEASE HELP 12 POINTS
A local hamburger shop sold a combined total of 709 hamburgers and cheeseburgers on Wednesday. There were 59 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Wednesday?
1. Which equation represents the scenario above?
a. 4x = 64 + 200
b. 68x = 200
c. 64 + 4x = 200
d. 64x + 4 = 200
2. Describe what the variable x represents in the equation you chose.
I REALLY NEED HELP ITS DUE IN A FEW HOURS ):
Answer:
C. 64+4x=200
'X' is the price of the bracelet
Step-by-step explanation:
Ring: $64
4 Bracelet: 4 ( $x )
Total spend: $200=Ring+4 Bracelet
64+4x=200
4x=200-64
4x=136
x=136/4
x=34
Bracelet: $34
Find the slope of the line passing through the points (-6, 6) and (4, -7).
Answer:
-13/10
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
-7-6/4-(-6)
-13/10
Best of Luck!
Write an integer for this situation: a profit of $12
Answer:
+12
Step-by-step explanation:
[tex]\sqrt{60} /\sqrt{5} (in radical form)[/tex]
[tex]2\sqrt{3}[/tex]
------------------------
Steps:
1st write out equation
[tex]\frac{\sqrt{60}}{\sqrt{5}} \\[/tex]
Second write the conjugant and multiply it.
[tex]\frac{\sqrt{60}}{\sqrt{5}} * \frac{\sqrt{5} }{\sqrt{5} }[/tex]
After multiplying you should get,
[tex]\frac{10\sqrt{3}}{5}[/tex]
now after simplifying you should get
[tex]2\sqrt{3}[/tex]
You earn $7.50 per hour to help your uncle in his shop. You earn $33.75. Write and solve an equation to find how many hours you worked.
Answer:
You worked for 4.5( for and a half hour)
Step-by-step explanation:
33.75$(total amount of money you got)
7.50 ($ money per hour)
33.75/7.50= 4.5H
what is %*+-fgfghfhfjgjhj
Answer:
Easy
Step-by-step explanation:
Easy to use and easy to use and easy to use onenote
round 8.1074 to the nearest hundredth.
Answer:
8.11
Step-by-step explanation:
The 7 makes the 0 a 1
Use the story graph of each problem to fill in the blanks of the following sentence frames below.
In problem #9 the motion of the objects starts at ___ seconds and ends at ___ seconds.
The motion of the objects starts at ___ meters and ends at ___ meters.
The objects traveled ___ meters in ____ seconds.
In problem #10 the motion of the objects starts at ___ seconds and ends at ___ seconds.
The motion of the objects starts at ___ meters and ends at ___ meters.
The objects traveled ___ meters in ____ seconds.
Step-by-step explanation:
there are (almost) no hidden tricks. the graphs are simply showing the answers.
#9
starts at 0 seconds and ends at 7 seconds.
starts at 0 meters and ends at 7 meters.
traveled 7 meters in 7 seconds.
#10
this is the only trap : please consider that the object did not move until 3 seconds into the chart. it remained steady for these first 3 seconds.
starts at 3 seconds and ends at 9 seconds.
starts at 1 meter and end at 5 meters.
traveled 5-1=4 meters in 9-3=6 seconds.
Which statement below matches the square above?
A.
The figure has two pairs of perpendicular lines and no parallel lines.
B.
The figure has two pairs of parallel sides that are the same length and perpendicular to each other.
C.
The figure has two pairs of parallel lines that are the same length and no perpendicular lines.
D.
The figure has two pairs of perpendicular lines and exactly one pair of parallel lines.
How do you know what a zero pair is using the counter chips
Write each decimal number as a fraction or mixed number in simplest form?
You're letting x = 0.325325325…, which means
1000x = 325.325325325… (or 325.325, but pretend the underline is actually an overline)
Then the next box you'd fill in with 0.325325325… (or 0.325).
Subtracting these, you have
1000x - x = 325.325325325… - 0.325325325…
999x = 325
Finally, solving for x gives
x = 325/999
10 + 8 × 90 ÷ 9 - 4 is what?
Answer:
solution,
given,
10 + 8 × 90 ÷ 9 - 4
=10 + 8 ×10 - 4
=10 + 80 - 4
=90 - 4
=86
Step-by-step explanation:
it is simplify . In simplification, we solve it by following rules bracket,divide, multiply, add and subtract. please remind it
i think it was helpful for all of you.
Point M is on line segment \overline{LN} LN . Given LN=17LN=17 and MN=3,MN=3, determine the length \overline{LM}. LM .
Answer:
14
Step-by-step explanation:
the full length of the line is 17, half of it is 3.
subtract line LN from MN to get LM.
17-3=14
Answer:
LN=4
Step-by-step explanation:
I need help pls(: I’m confused about this!!
Answer:
(4,3)
Step-by-step explanation:
hope this helps :)
In the diagram, figure 1 is the pre-image. Label figures 2, 3, and 4 with the type of transformation used to create each figure.
Answer:
Label figures 2, 3, and 4 with the type of transformation used to create each figure. Rotation Reflection Translation Dilation
Answer:
2 refliction , 3 rotaion 4 , translation
Step-by-step explanation:
HELP ME PLEASE WHATS RBE X AND Y INTERCEPT
Which statement is true?
A) |13| = - 13
OB) - |-131 = 13
C) - |13|= 13
OD) |-13|= 13
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
|-13|=13
solve the equation simultaneously:
y = 2-2x
y = -16 + 2(x-3)^2
Answer:
y = -26
Step-by-step explanation:
[y = 2 - 2x] + [y = -16 + 2(x - 3)^2]
y = -16 + 2x - 6^2
y = -16 + 2x - 6^2 + 2 - 2x
y = (+2x - 2x) - 16 - 6^2 + 2
y = -16 - 6^2 + 2
y = -16 - 12 + 2
y = - 28 + 2
y = -26
what type of number is 4+5√2?
Natural
whole
integer
real
rational
irrational
Answer:
Real and irrational numbers
Round your answer to two decimal places.
5
1) Leah makes an origami photo frame to showcase her favorite family picture. The
size of the frame is 3.5" X 8". Determine the area of the photo frame and express the
answer in square feet.
Write the equation of the line in slope intercept form that passes through the point (6,-2) and is parallel to the line y = -3x + 5.
Answer:
For a line to be parallel it must have the same slope. So the slope of the new equation is 6.
The slope intercept form is y=mx+b. And we have a point (3,-5). Plug in what we know....
-5=6(3)+b
Solve for b (the y-intercept)
b= -23
Therefore.... y=6x-23
??? does that help????
-6*9 match the correct answer with the correct answer
Answer:
-6 x 9 = -54
Explanation:
Please help ASAP and explain the answer, thank you
Answer:
Step-by-step explanation:
1) x² - 8x + 5 = 0
2) No subtract 5 from both sides
x² - 8x + 5 - 5 = 0 - 5
x² - 8x = -5
3) Now find (8/2) = 4. Add 4² = 16 to both sides
x² - 8x + 16 = -5 + 16
x² - 8x + 16 = 11
4) (x - 4)² = 11
5) Take square root both sides
x - 4 = ±√11
x = 4 ±√11
Find the midpoint of (-3,7) and (-9,1).
Answer:
(-6, 4)
Step-by-step explanation:
A scientist is studying some rabbits. A disease is killing the rabbits. A population of 240 of these rabbits was reduced to 180 rabbits in two days. The rabbit population is decreasing exponentially. Work out how many of the 240 rabbits will still be alive at the end of 7 days (5 marks)
Here we have a problem with exponential decays, we will find that we can expect that 110 rabbits will still be alive at the end of 7 days.
An exponential decay can be written:
P(x) = A*e^(-k*x)
Where:
A is the initial amount.
k defines the rate of decrease.
x is our variable.
In this case, the exponential decay is applied to the population of rabbits, and we know that:
The initial population is 240, then A = 240
P(x) = 240*e^(-k*x)
We also know that after two days (at x = 2) the population was 180, then we can write:
P(2) = 180 = 240*e^(-k*2)
With this equation we can find the value of k:
180 = 240*e^(-k*2)
180/240 = e^(-k*2)
Now remember that:
Ln(e^n) = n
then if we apply the natural logarithm to both sides, we get:
Ln(180/240) = Ln(e^(-k*2)) = -k*2
-Ln(180/240)/2 = k = 0.144
Then the equation is:
P(x) = 240*e^(-0.144*x)
Now with this, we can find the population of rabbits after 7 days, we just need to evaluate the above function at x = 7, we will get:
P(7) = 240*e^(-0.144*7) = 110.3
That we could round down to the next whole number, 110.
Concluding, we can expect that 110 rabbits will still be alive at the end of 7 days.
If you want to learn more, you can read:
https://brainly.com/question/14355665
A box contains 6 blue pens and 10 red pens. What is the ratio of red pens to total pens as a fraction? *
Answer:
total=16pens and 10 red pens so ratio=10:16 fraction =5/8
Step-by-step explanation:
the number is a prime
the number is less than 19
the sum of the digits of the number is greater than 7 please
Answer:
17
Step-by-step explanation:
okay so we know its double digit and less than nineteen so... 11 through eighteen. now we just find the prime numbers.
11
13
17
Now to finally narrow it down.
1+1=2 so 11 doesn't work
1+3= 4 so 13 is a no-go
1+7=8 so BLAMMO
What are the coordinates of the midpoint segment joining the points A(-3,-4) and B(4,2)
Answer:
Step-by-step explanation:
x1 + x2 divided by 2
y1 + y2 divided by 2
-3 + 4 is 1/2
-4 + 4 is 0
(0.5,0)
i could be wrong but i did it in my head , but the equation is right . just do that in order
Answer:
( 0.5, - 1 )
Step-by-step explanation:
So here is the equation:
x2 + x1 / 2 For the x coordinate
y2 + y1 / 2 For the y coordinate
x2 is 4 and x 1 is -3 whilst y2 is 2 and y1 is -4.
Thus:
4 + -3 / 2 = 0.5 x coordinate
2 + -4 / 2 = -1 y coordinate
So it becomes (0.5, -1)
HOPE THIS HELPED
Name the plane that is highlighted in the diagram below.
We want to define the name of a plane. We will find that some of the possible names are:
IJF, JFE, FEI.
To define any given plane, we can just use two collinear points that are on the plane and a third point, which is on the plane and is not-collinear to the other two points.
Remember that points are collinear if we can connect them with a line.
So for the shown plane, some names can be:
IJF
where IJ are two collinear points and F is the third point that is non-collinear to the other two and also is on the plane.
Other names can be:
JFE
FEI
etc.
If you want to learn more, you can read:
https://brainly.com/question/17486608
