Answer:
-3 1/8.
Step-by-step explanation:
−7/8 − 2 1/4
= -7/8 + -9/4
= -7/8 - 18/8
= -25/8
= -3 1/8.
please help meeeee asappp
1. 81
2. 2 4/25
3. 2⁵×3
4. 2,040
Use logarithmic differentiation to find dy/dx. y = (x + 1)(x − 4)/ (x − 1)(x + 4) , x > 4 dy dx =
Answer:
dy/dx = (x + 1)(x-4)/(x-1)(x+4)[1/(x+1) + 1/(x-4) -1/(x-1) -1/(x+4)
Step-by-step explanation:
Here, we want to find the derivative using logarithmic differentiation.
What we will do here is to first take the natural logarithm of both sides, then we proceed to differentiate afterwards.
Please check attachment for complete solution and step by step explanation.
A student looking at global population figures remarks that between the years 1950 and 2010 the global population can be modelled by the equation 300y= 23t−44 180 (1950≤t≤2010),
Write down the gradient of the straight line represented by the equation 300y= 23t−44 180 (1950≤t≤2010)
What does this represent in the practical situation being modelled?
Answer:
The equation is (i guess):
300*y = 23*t -41,180
This is a linear equation, where y represents the population, and t represents time (in years)
Now, to find the gradient, we must derive the function y with respect to the time.
then we can write:
y = (23/300)*t - (41,180)/300.
now, remember that when we have:
y = a*x^n
we also have:
dy/dx = n*a*x^(n-1)
then in this case, we have:
dy/dt = (23/300) + 0
now we pass aain the 300 to the right:
300*dy/dt = 23.
d(300*y)/dt = 23
what does this mean?
Thie mean that for each unit of that t increases, we have an increase of 23 units in 300*y.
I'm not sure what the question is asking.
f = 2 g = 3
(2)(2) + (3)(3)
(2)(2) + (3)(3)=13
The city library subscribes to
125 magazines at an
average cost of $23 a year
for each. What is the yearly
cost of all these magazines?
Answer:
Yearly Cost per each magazine=$23
Since there are 12 months in every year,
$23 × 12 =yearly cost
Therefore, $276 is equal to the yearly cost
Bob the builder wants to earn an annual rate of 10% on his investment how much should he pay for s note that will be worth 3,000 in 9 months
Answer:
2786 is the answer for the question
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t) = -4.9t^2 + 148 t + 227. Assuming that the rocket will splash down into the ocean, at what time does splashdown occur? The rocket splashes down after 32 seconds. How high above sea-level does the rocket get at its peak? The rocket peaks at meters above sea-level.
Answer:
A.) 24.08 seconds
B.) 825.42 metres
Step-by-step explanation:
function of time is given as
h ( t ) = − 4.9 t 2 + 118 t + 115 .
Where a = -4.9, b = 118, c = 115
Let's assume that the trajectory of the rocket is a perfect parabola.
The time t the rocket will reach its maximum height will be at the symmetry of the parabola.
t = -b/2a
Substitute b and a into the formula
t = -118/-2(4.9)
t = 118/9.8
t = 12.041 seconds
Since NASA launches the rocket at t = 0 seconds, the time it will splash down into the ocean will be 2t.
2t = 2 × 12.041 = 24.08 seconds
Therefore, the rocket splashes down after 24.08 seconds.
B.) At maximum height, time t = 12.041s
Substitute t for 12.041 in the function
h ( t ) = − 4.9 t 2 + 118 t + 115
h(t) = -4.9(12.041)^2 + 118(12.041) + 115
h(t) = -4.9(144.98) + 118(12.041) + 115
h(t) = -710.402 + 1420.82 + 115
h(t) = 825.42 metres
Therefore, the rocket get to the peak at 825.42 metres
How do I do constructions
Answer:
it depends
Step-by-step explanation:
The required tools are a compass and straightedge. A pencil or other drawing tool will also be useful (or you can use the marker in the compass).
__
Generally, follow the applicable directions. The specific directions vary, depending on the construction you want to do. Numerous web sites and videos can show you step-by-step. (Search for "construction of ...") for whatever you're trying to construct.
__
To construct a circle (or part of a circle), set the compass to the appropriate width, place the pointed end on the center of the circle, and rotate the marker in a circle around that point, taking care to ...
keep the pointed end in the same spot,keep the width of the compass the same until your circle is complete.To construct a line through two points, align the edge of the straightedge with the two points, and make a mark along that edge using your marking tool. (You may find that you need to make a slight adjustment in your alignment to account for the width of the marker).
All other constructions use combinations of these skills.
A truck can be rented from Company A for $110 a day plus $0.40 per mile. Company B charges $80 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same. PLZ HELP
Answer: i am also looking for the answer so far i’ve gotten x=200 but it told me it was wrong feel free to try it i guess
I need help on fractions and decimal world problems
How do you do this question?
Answer:
1) ∫₀¹ 2π x (x − x²) dx
4) ∫₀¹ π ((√y)² − y²) dy
Step-by-step explanation:
The solid formed is a hollow, upside down cone. We can either use washer method or shell method to find the volume.
If we use washer method, the thickness of the washers is dy. The outside radius is R = x₂ = √y, and the inside radius is r = x₁ = y.
Therefore, the volume of each washer is:
dV = π (R² − r²) t
dV = π ((√y)² − y²) dy
The total volume is the sum of all washers from y=0 to y=1.
V = ∫ dV
V = ∫₀¹ π ((√y)² − y²) dy
If we use shell method, the thickness of each shell is dx. The radius of each shell is r = x. The height of each shell is h = y₂ − y₁ = x − x².
Therefore, the volume of each shell is:
dV = 2π r h t
dV = 2π x (x − x²) dx
The total volume is the sum of all shells from x=0 to x=1.
V = ∫ dV
V = ∫₀¹ 2π x (x − x²) dx
Dan drove his truck 2436 miles in six months at that rate how far will he drive in 12 months
Answer:
4,872 miles
Step-by-step explanation:
Step 1:
2,436 : 6
Step 2:
2,436 : 6 = x : 12
Step 3:
6x = 29,232
Answer:
x = 4,872
Hope This Helps :)
Scott invested a total of $5400 at two separate banks. One bank pays simple interest of 12% per year while the other pays simple interest at a rate of 9% per year. If Scott earned $576.00 in interest during a single year, how much did he have on deposit in each bank?
Answer:
648 im each bank
Step-by-step explanation:
the intersection of a line and plane is a line
what is 2 + 2???????
i need help plz
Answer:
4
Step-by-step explanation: 2+2=4
because imagine if u had 2 dollars and your mom gave u another 2 dollars u will have 4 dollars
2. Mr. Kim's rectangular garden is four times as long as it is wide. He is going to enlarge it
by extending cach side 7 feet.
a. Represent the length and width of the original garden using an appropriate variable.
Width:
W.4
w
Length:
b. Using the same variable, represent the perimeter of Mr. Kim's garden after it is
enlarged
Perimeter:
Answer:
P = 10W + 28
Step-by-step explanation:
Let L be the original length of the garden
W be the original width of the garden
If Mr. Kim's rectangular garden is four times as long as it is wide, then L = 4W
If he is going to enlarge it by extending each side 7 feet, then;
The new length l = (4W + 7) feet
The new width will be w =(W+7) feet
Perimeter of the rectangular gerden P = 2(l+w)
l and w are the new length and width
Substituting l = 4W+7 and w = W+7 into the formula;
P = 2(4W+7+W+7)
P = 2(5W+14)
open the parenthesis
P = 10W + 28
Hence the perimeter of Mr. Kim's garden after it is enlarged is given by the expression P = 10W + 28
-8 (x - 3) = -32
Your answer
A right triangle has one angle that measures 5°. What is the measure of the other acute angle?
Answer:
85
Step-by-step explanation:
There are three angles in a triangle
Since it is a right triangle one angle is 90 degrees
We are given one angle is 5 degrees
Let the third angle be x
The sum of the angles of a triangle is 180
x+5+90 =180
Combine like terms
x+95 = 180
Subtract 95 from each side
X+95-95 = 180-95
x = 85
A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 16, negative 2, 0, 6, 0, negative 2.
–4
–3
–2
–1
Answer:
The Answer is (-1,0)
I Don't really know how to explain.
You're Welcome!
The graph of the coordinates is plotted and attached.
What is a Graph?
A diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.
We have the following table -
[x] f(x)
- 4 16
- 3 -2
- 2 0
- 1 6
0 0
1 -2
The given table represents the coordinates -
(- 4, 16) , (- 3, - 2), ( - 2, 0) , ( - 1, 6) , (0, 0) , (1, - 2)
The graph of the coordinates is plotted and attached.
Therefore, the graph of the coordinates is plotted and attached.
To solve more questions on Graphs, visit the link below -
brainly.com/question/17230119
#SPJ2
The Big Boy was a famous lovomotive built during the 1940’s. The locomotive was about 132 feet long. About how long is an s-scale model of a Big Boy locomotive?
Answer:
2.0625 feet
Step-by-step explanation:
The S-Scale ratio is 1:64, so the answer is just 132/64, or 2.0625.
If you're building a miniature locomotive, good luck man
Where is √95 located on a number line?
Answer:
[See Below]
Step-by-step explanation:
✦ [tex]\sqrt{95} =9.74679434[/tex]
~Hope this helps Mate. If you need anything feel free to message me.
-I have included a number line as well...
Answer these questions please please
Answer:
Step-by-step
i) a² - 2ab + b² = (a + b)²
a² = p² ; a = p
b² = 16 = 4² ; b = 4
2ab = 2*p*4 = 8p
p² - 8p + 16 = (p - 4)²
ii) a² + 2ab + b² = (a +b)²
a² = 121x² = (11x)² ; b² = 4y² = (2y)²
2ab = 2 * 11x * 2y = 44xy
121x² + 44xy + 4y² = (11x + 2y)²
The solution to an inequality is graphed on the number line. What is another way to represent this solution set? O {x | X 4.5) O x | x2 4.5) 5 -3 -2 -1 0 1 2 3 4 5
Answer: Choice B [tex]\{x | \ x \le 4.5\}[/tex]
=============================================
Explanation:
The endpoint is at 4.5 and this endpoint is a filled in circle. So we'll have "or equal to" as part of the inequality sign. This is because we are including the endpoint as part of the shaded solution region.
The other part of the inequality sign is "less than" because the shading is to the left of the endpoint. Any point in the shaded region is less than 4.5, or it could be equal to 4.5
Put another way: x is either 4.5 or smaller
We write that as [tex]x \le 4.5[/tex] which is read out as "x is less than or equal to 4.5"
Surrounding this in curly braces tells the reader we're dealing with a set of values. The first part "x |" means "x such that"
All together we end up with the answer [tex]\{x| \ x \le 4.5\}[/tex] which translates to "x such that x is less than or equal to 4.5"
Answer:
B
Step-by-step explanation:
5
Quita bought a jacket priced at $88. The sales tax rate on the jacket was 7.5%.
How much was the sales tax in dollars and cents on this jacket?
Truffles cost $3 each and caramels cost $2 each. If t represents the number of truffles and c represents the number of caramels, explain what each of the following expressions represents. Explain your reasoning for each. a) t +c b) 3t +2c
Answer:
a) Combined amount of truffles and caramels bought
b) Amount of money spent in total on both truffles and caramels
Describe the relationship between the two quantities. Volume of a cylinder; Height & radius of cylinder’s base.
Answer:
V=πr^2h
Step-by-step explanation:
To enhance Jamie’s explanation, describe both sections of the piecewise function using linear equations. Include any limits to the domain. HELP ASAP
Answer:
Sugar
Step-by-step explanation:
Eight less than four times a number is less than 56. What are the possible values of that number?
X>12
X<12
X<16
X>16
Answer:
4x-8<56
4x<64
x<16
Answer:
hu
Step-by-step explanation:
j
What is the solution to 10(3x−5)=−20
Answer:
x = 1
Step-by-step explanation:
Apply the distributive property. It should now look like this: 30x - 50 = -20Add 50 to each side, so it now looks like this: 30x = 30Divide each side by 30 to cancel out the 30 next to x. It should now look like this: x = 1I hope this helps!
Using exponents, what is the simplified form of 12x 6x7 оа 23 Ob 2x3 ос 63 6x 6x3
12x^5 / 6x^2 = 2x^3
Answer choice B is correct.