9514 1404 393
Answer:
(b) √6 mi
Step-by-step explanation:
Putting the given heights into the formula, we find the difference in distances to be ...
Adam' horizon distance = √((3/2)(400)) = 10√6 . . . miles
Pam's horizon distance = √((3/2)(324)) = 9√6 . . . . miles
Then the difference Adam can see is farther than the distance Pam can see by ...
10√6 -9√6 = √6 . . . miles
help with number 6 please. thank you.
Answer:
See Below.
Step-by-step explanation:
We are given that:
[tex]\displaystyle \frac{dT}{dt} = -k(T - T_0)[/tex]
And we want to show that:
[tex]\displaystyle T = T_0+Ae^{-kt}[/tex]
From the original equation, divide both sides by (T - T₀) and multiply both sides by dt. Hence:
[tex]\displaystyle \frac{dT}{T-T_0}= -k\, dt[/tex]
Take the integral of both sides:
[tex]\displaystyle \int \frac{dT}{T- T_0} = \int -k \, dt[/tex]
Integrate. For the left integral, we can use u-substitution. Note that T₀ is simply a constant. Hence:
[tex]\displaystyle \ln\left|T - T_0\right| = -kt+C[/tex]
Raise both sides to e:
[tex]\displaystyle e^{\ln\left|T-T_0\right|} = e^{-kt+C}[/tex]
Simplify:
[tex]\displaystyle \begin{aligned} \left| T- T_0\right| &= e^{-kt} \cdot e^C \\ \\ &= e^C\left(e^{-kt}\right) \\ \\ &=Ae^{-kt} & \text{Let $e^C = A$}\end{aligned}[/tex]
Since the temperature T will always be greater than or equal to the surrounding medium T₀, we can remove the absolute value. Hence:
[tex]\left(T - T_0\right) = Ae^{-kt}[/tex]
Therefore:
[tex]\displaystyle T = T_0+Ae^{-kt}[/tex]
Mandatory minimum character count of 20.
You are dividing a rectangular garden into 2 equal sections by
placing a wooden plank diagonally across it, from one corner to
the opposite comer. The garden measures 4 feet by 6 feet. What
length diagonal plank should you buy, and why?
Diagonal planks are available in 1-foot increments (you can
buy a 1-foot board, or a 2-foot board, or a 3-foot board, and
so on...)
• You can cut the plank down from the size you buy to the
exact size, but you want to waste as little wood as possible.
Answer:
You can cut the plank down from the size you buy to the
exact size, but you want to waste as little wood as possible.
What system of equations is shown on the graph below
Answer:
A.
Step-by-step explanation:
x-2y=4 has a x-intercept of 4, a slope of 1/2, and a y-intercept of -2. 2x+y=4 has a x-intercept of -2, a slope of 2, and a y-intercept of -4.
Clarissa has abudget of 1,200$ amonth to spend for rent n food she already spent 928 this month which inequality represents the amount she can still spend this month
Answer:
272$
Step-by-step explanation:
You really should be clearer with your questions, but if your looking for the balance she has 272$
Not sure whether the answer is 9 or -11, so please help
When an individual inherits two identical alleles for the brown eyed gene (BB)which type of individual is this?
What is the length of BD Round to one decimal place. Thanks!
Answer:
2.7
Step-by-step explanation:
ratios help
2.5 : 5.8 :: x : 6.2
2.5/5.8 = x/6.2
solve for x :
x = approx. 2.7
Find mDCAˆ.
A. 92
B. 145
C. 159
D. 113
9514 1404 393
Answer:
C. 159°
Step-by-step explanation:
The exterior angle at B is half the difference of the measures of the arcs it intercepts:
(3x +19)° = 1/2((17x -3)° -91°)
6x +38 = 17x -94 . . . . . . . . . . multiply by 2, divide by °
132 = 11x . . . . . . . . . . . . . add 94-6x
x = 12 . . . . . . . . . . . . divide by 11
Then long arc AD is ...
arc AD = (17(12) -3)° = 201°
Arc DCA is the rest of the circle:
arc DCA = 360° -201° = 159°
Multiply the following and combine terms where possible. -a(a-b-3)
Answer:
-a^2 +ab +3a
Step-by-step explanation:
-a(a-b-3)
Distribute
-a*a -a*(-b) -a *(-3)
-a^2 +ab +3a
Nick nas cup of syrup. He uses cup of syrup to make a bont of granota
PartA: How many bow's or granola can Nick make with cup of syrup? (4 points)
Part 8: on your own paper, draw a fraction model that shows the total number of bouts of granola that Nick can make with cup of syrup. Make sure to label the model seks
explain your model in detail to descnbe how this model visually shows the solution for Part A. (6 points). I’ll make u brainless if u help
Answer:
Step-by-step explanation:
its easyk
i just need the answer no explanation
Given the function
f(x)=7x2−2x+5.Calculate the following values:
f(−2)=
f(−1)=
f(0)=
f(1)=
f(2)=
This is the answers and their coordinates
find csc theta and sin theta if tan theta = 7/4 and sin theta less than 0
9514 1404 393
Answer:
sin(θ) = (-7√65)/65
csc(θ) = (-√65)/7
Step-by-step explanation:
The angle will have the given characteristics if its terminal ray passes through the 3rd-quadrant point (-4, -7). The distance from the origin to that point is ...
d = √((-4)² +(-7)²) = √65
The sine of the angle is the ratio of the y-coordinate to this value:
sin(θ) = -7/√65
sin(θ) = (-7√65)/65
The cosecant is the inverse of the sine
csc(θ) = (-√65)/7
write the equation of the line passing through the points (-2, 3) and (-1,-2) in slope intercept and point slope form
in slope intercept
y = -5x - 7
point slope form
y + 5x - 7 =0
Let L be the circle in the x-y plane with center the origin and radius 38. Let S be a moveable circle with radius 8 . S is rolled along the inside of L without slipping while L remains fixed. A point P is marked on S before S is rolled and the path of P is studied. The initial position of P is (38,0). The initial position of the center of S is (14,0) . After S has moved counterclockwise about the origin through an angle t the position of P is:
x = 14cost + 24cos(7/12t)
y= 14sint - 24sin (7/12t)
Required:
How far does P move before it returns to its initial position?
Answer:
P moves = 70.73 m
Step-by-step explanation:
Given data
Radius = 38
initial position of P = ( 38,0 )
initial position of center S = ( 14,0)
position of P ( after s moved counterclockwise )
: x = 14cost + 24cos(7/12t)
y = 14sint - 24sin(7/12t)
Determine how far P moves before returning to its initial position
attached below is the solution
P moves = 70.74 m
The measure of ∠1 is 39°. What is the measure of ∠2?
Answer:
141
Step-by-step explanation:
if the sum of the two angles equals 180 subtract 39 from 180 to get the remainder of 141 which is angle 2
If someone earns $10 every 15 minutes, how much do they earn in an hour?
Answer: 40
Step-by-step explanation:
You multiple 15X4=60
And now multiple 10x4=40
Answer:
40$
Step-by-step explanation:
There are 60 minutes in an hour so if we break it down:
$10 = 15 minutes
$10 = 15 minutes
$10 = 15 minutes
$10 = 15 minutes
-------------------------
Add them together and we get:
$40 = 60 minutes or 1 hour
Meaning they would make 40$ in 1 hour.
Graph the system of linear equations.
- y = 2x+5 and y = 2x +2.
The solution to the system is
y
X
y
4
X
-8
4
4
-4
-8
Draw
Click or tap the graph to plot a point.
Please help me !!!
9514 1404 393
Answer:
(x, y) = (-4, -6)
Step-by-step explanation:
For graphing by hand, it can be convenient to put the equations in slope-intercept form. Multiplying the first equation by -2 gives ...
y = -x -10
The second equation is already in slope-intercept form.
These equations tell you ...
y = -x -10 . . . the slope is -1 and the y-intercept is -10. It goes up to the left from -10 on the y-axis
y = 2x +2 . . . the slope is 2 and the y-intercept is 2. It goes down to the left from +2 on the y-axis.
The solution to the system is (-4, -6).
Which statement describes the end behavior of this function? g(x) = 1/2|x - 3| - 7
A. As x approaches positive infinity, g(x) approaches negative infinity.
B. As x approaches negative infinity, g(x) approaches negative infinity.
C. As x approaches positive infinity, g(x) approaches positive infinity.
D. As x approaches negative infinity, g(x) is no longer continuous.
Answer:
C. As x approaches positive infinity, g(x) approaches positive infinity.
Step-by-step explanation:
We are given the following function:
[tex]g(x) = \frac{|x-3|}{2} - 7[/tex]
End behavior:
Limit of g(x) as x goes to negative and positive infinity.
Negative infinity:
[tex]\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} \frac{|x-3|}{2} - 7 = \frac{|-\infty-3|}{2} - 7 = |-\infty| = \infty[/tex]
Positive infinity:
[tex]\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} \frac{|x-3|}{2} - 7 = \frac{|\infty-3|}{2} - 7 = |\infty| = \infty[/tex]
So in both cases, it approaches positive infinity, and so the correct option is c.
In the equation y = 39x + 50represents the number of people at a holiday dinner and y represents the total cost of
the dinner. If a family spent $518, how many people attended the dinner?
Answer:
The correct answer is - 12.
Step-by-step explanation:
Given:
Total number of people = y = 39x+50
Total amount spent y = 518
Solution:
The equation for the number of people who attended the dinner
y = 39x+50
The cost of dinner is equally divided by number of people =
then, 518 = y
placing value, 518 = 39x+50
x = (518-50)/39
= 468/39
= 12
Then number of people attended the dinner = 12
Given the following formula, solve for y.
Answer:
b) y=x -2(w+z)
Step-by-step explanation:
multiply both sides, move the terms and write on parametric form
A car manufacturing firm wishes to introduce a new line of tires into its product range. It costs them $50,000 to introduce the new line, and $1.20 per tire. If they have a budget of $300,000 to introduce the new line, how many tires can they make? Give your answer to the nearest thousand.
Answer:
208333 tires can be made with a budget of $ 300000.
Step-by-step explanation:
The total budget ([tex]C[/tex]), in monetary units, is the sum of fixed costs (cost of introducing the new line) ([tex]C_{o}[/tex]), in monetary units, and variable costs (cost of producing tires) ([tex]C_{v}[/tex]), in monetary units:
[tex]C = C_{o} + C_{v}[/tex] (1)
If we know that [tex]C = \$\,300000[/tex] and [tex]C_{o} = \$\,50000[/tex], then variable costs are:
[tex]C_{v} = C-C_{o}[/tex]
[tex]C_{v} = \$\,300000 -\$\,50000[/tex]
[tex]C_{v} = \$\,250000[/tex]
And the variable cost can be defined by the following formula:
[tex]C_{v} = r\cdot n[/tex] (2)
Where:
[tex]r[/tex] - Production cost of a tire, in monetary units per tire.
[tex]n[/tex] - Amount of produced tires, in tires.
If we know that [tex]C_{v} = \$\,250000[/tex] and [tex]r = \$\,1.20\,\frac{1}{tire}[/tex], then the amount of produced tires:
[tex]n = \frac{C_{v}}{r}[/tex]
[tex]n = \frac{\$\,250000}{\$\,1.20\,\frac{1}{tire} }[/tex]
[tex]n = 208333\,tires[/tex]
208333 tires can be made with a budget of $ 300000.
Answer: 208,000
Step-by-step explanation:
round it to the nearest thousand
factor 9-x^2 completely
Answer:
-(x + 3)(x - 3)
Step-by-step explanation:
Using the difference of squares we can factor this expression.
[tex](9 - x^2)\\= (3^2 - x^2)\\= (3 + x)(3 - x)\\= -(3 + x)(-3 + x)\\= -(x + 3)(x - 3)[/tex]
Which function below has the following domain and range?
Domain: {-7, - 5,2, 6, 7}
Range: {0, 1,8}
Answer:
{(2,0),(-5,1),(7,8),(6,0),(-7,1)
3-6÷12
simplyfication
Help me please on this question
Answer:
a) upward
b) x = -2
c) -2, 1
d)
none
y = 5
Step-by-step explanation:
a) I think that is clear and speaks for itself.
b) axis of symmetry : around what line can this figure be considered as "mirrored", so that it looks like how it looks ?
x = -2 is a line/axis parallel to the y-axis (vertical) that does the figure into 2 halves that are the mirrored images of each other.
c) the extreme point. the point with a tangent with slope=0 (a flat line). there is only one. at x=-2. and the y-value is 1.
d) there is no intercept with the x-axis at all.
and the intercept with the y-axis is at y=5.
C = ſa²+b² Please describe the Mathematical order of Operation
Step-by-step explanation:
C + ſa6+b5 bescribe the Mathematical order of Operation
Suppose the average commute time of your employees is unknown. The standard deviation of their commute time is estimated as 22.8 minutes. How many employees must be included in a sample to create a 99 percent confidence interval for the average commute time with a confidence interval width of no more than 12 minutes
Answer:
96 employees
Step-by-step explanation:
Given that the standard deviation = 22.8
The width in the question = 12
We solve for the margin of error E.
E = width / 2
= 12/2 = 6
At 99%
Alpha = 1-0.99
= 0.01
Alpha/2 = 0.01/2 = 0.005
Z0.005 = 2.576
Sample size n
= ((2.576x22.8)/2)²
= 95.8
= 96
The number of employees is 96
Thank you!
the function h is defined by (x)=x^2+2
find h(4n)
h(4n) =
Answer:
h(4n) =16n^2+2
Step-by-step explanation:
h(4n) = (4n)^2+2
h(4n) =16n^2+2
!!!HELPPP PLEASEEE!!! For this problem I thought it meant to subtract 0.1492 - 0.1515 = -0.0023 however my answer was incorrect. How do I solve this problem then? Help Please!
Answer:
0.1492-0.1515= -0.0023
