Answer:
a) The rate of change of the brightness after t days is [tex]B^{\prime}(t) = 0.204525\pi\cos{(0.4545\pi t)}[/tex]
b) The rate of increase after one day is of 0.0915.
Step-by-step explanation:
The brightness after t days is given by:
[tex]B(t) = 4.2 + 0.45\sin{(\frac{2\pi t}{4.4})} = 4.2 + 0.45\sin{(0.4545\pi t)}[/tex]
A) Find the rate of change of the brightness after t days.
This is [tex]B^{\prime}(t)[/tex]
The derivative of a constant is 0, the derivative of [tex]\sin{at}[/tex] is [tex]a\cos{at}[/tex]
So, in this case, we have that:
[tex]B^{\prime}(t) = 0.45*0.4545\pi\cos{(0.4545\pi t)} = 0.204525\pi\cos{(0.4545\pi t)}[/tex]
The rate of change of the brightness after t days is [tex]B^{\prime}(t) = 0.204525\pi\cos{(0.4545\pi t)}[/tex]
B) Find the rate of increase after one day.
This is [tex]B^{\prime}(1)[/tex]. So
[tex]B^{\prime}(1) = 0.204525\pi\cos{(0.4545\pi)} = 0.0915[/tex]
The rate of increase after one day is of 0.0915.
a typing question please help and make brainleist
!! PLEASE HELP, TIMED!!Multiple choice, BRAINLIEST for correct answer!
Answer:
I'm not going to lie I'm not 100% sure but I think it's c
Answer:
D
Step-by-step explanation:
4x=4+2y
3y=5+2x
Write an integer for deposit of $100
Write an integer for deposit of $100:
-$100
A submarine was situated 832 feet below sea level. If it descends 289 feet, what is its new position?
It's new position is 1121 feet below sea level.
(In this problem u are descending into a negative value so it made sense for me to add for some reason).
Hope this helps and have a good day.
Also, as proof I included my calculator showing the logic behind it. Sorry for bad Camera quality.
-R3TR0 Z3R0
The ratio of boys to girls in Mr. Lee's Geography class is 3 to 5. If there are a total of 32 students in the class, how many of them are girls?
Please help asap!!
Which of the following ordered pairs is a solution to the system of inequalities? Select ALL that apply.
А. (-4,1)
B. (-3, -4)
C. (0, -3)
D. (0,1)
E. (5,-2)
Solve the right triangle round your answer to the nearest tenth
Answer/Step-by-step explanation:
✔️A = 180° - (50° + 90°) (sum of triangle)
A = 40°
✔️Find a:
Reference angle = 50°
Opposite = 17
Adjacent = a
Therefore, using trigonometric ratio, we have the following:
Tan 50 = 17/a
a = 17/tan 50
a = 14.3 (nearest tenth)
✔️Find c using Pythagorean Theorem:
c² = a² + b²
c² = 14.3² + 17²
c = √493.49
c = 22.2 (nearest tenth)
The equation S = 50 + 45w represents the savings, S, after w weeks working and
depositing (putting in) money into a savings account at the bank.
Determine whether there is a proportional relationship between S and w.
Explain your reasoning.
Answer:
yes
Step-by-step explanation:
50 can be the initial money in the account and she can be depositing 45 dollars every (w) weeks and it will show her (S) savings
A(n)?
is a number that is a multiple of two or more numbers.
WILL MARK BRAINLIEST!!!
Write each of the following numerals in base 10. For base twelve, T and E represent the face values ten and eleven, respectively.
a. 231 five
b. 11001 two
c. 12T twelve
Find the slope of the line passing through the points (-7, 5) and (2,5).
Answer:
slope = 0
Step-by-step explanation:
Use formula to find the slope: m = (y2 - y1) / (x2 - x1)
Set (x1, y1) = (-7, 5)
Set (x2, y2) = (2, 5)
m = (5 - 5) / (2 - (-7))
m = (5 - 5) / (2 + 7) FYI, negative * negative = positive
m = 0 / 9
If you plot the coordinates, they'll lie on a horizontal line. Therefore, the slope of the line is 0.
Would the hypotenuse of a right triangle with a vertical length of 6 and a horizontal length of 10 have the same slope as the hypotenuse of the blue and red
triangles shown in the graph?
PLEASE HELP !!! ILL GIVE BRAINLIEST!! *DONT SKIP* ILL GIVE 40 POINTS.
Answer:
5.5
Step-by-step explanation:
Write an expression equivalent to the one below
-2m-8+4(3m-9)
Answer:
Step-by-step explanation:
Distribute the 4 into the parentheses.
[tex]-2m-8+12m-36[/tex]
Combine like terms
[tex]10m-44[/tex]
Answer:
10m - 44
Step-by-step explanation:
Apply the distributed property: 12m - 36Re-write expression: -2m - 8 + 12m - 36-2m + 12m = 10m8 + 36 = 44Put them together: 10m - 44I hope this helps!
Help plz:)))I’ll mark u Brainliest
Answer:
18 foot ladder will reach at 14.4 feet up the wall.
Step-by-step explanation:
Triangles formed by the ladder against wall and the ground are similar,
ΔABC ~ ΔDEC
Therefore, their corresponding sides will be proportional.
[tex]\frac{AB}{DE}= \frac{BC}{EC}= \frac{AC}{DC}[/tex]
[tex]\frac{AB}{DE}= \frac{BC}{EC}[/tex]
[tex]\frac{18}{10}=\frac{BC}{8}[/tex]
BC = [tex]\frac{18\times 8}{10}[/tex]
= 14.4
Therefore, 18 foot ladder will reach at 14.4 feet up the wall.
Suppose a loaded die has the following probability model: If this die is thrown and the top face shows an odd number, what is the probability that the die shows a 1
Answer:
the probability is 0.6
Step-by-step explanation:
The computation is shown below:
Let us assume the X would be the number appear on the top face
Now
= P(X = 1) ÷ P(X = 0)
= 0.3 ÷ 0.3 + 0.1 + 0.1
= 0.3 ÷ 0.5
= 0.6
hence, the probability is 0.6
solve if x=11. x+44/2x
Answer:
substitute 11 into the equation:
[tex]\frac{11+44}{2(11)}[/tex] = [tex]\frac{55}{22}[/tex] or 2.5
Answer:
253
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightStep-by-step explanation:
Step 1: Define
x + 44/2x
x = 11
Step 2: Evaluate
Substitute in x: 11 + 44/2(11)[BPEMDAS] Divide: 11 + 22(11)[BPEMDAS] Multiply: 11 + 242[BPEMDAS] Add: 253A restaurant chef made 4 1/2 pints of mushroom soup Each bowl of soup holds 1/2 of pint. How many bowls of soup will.the chef be able to fill?
Answer:
4 2/4
Step-by-step explanation:
4 1/2 + 1/2 = 4 2/4
i just added em up
Answer:
Step-by-step explanation: 4 1/2 pints / 1/2 pint/ bowl = (9/2) / (1/2) = 9/2 pints x 2 bowl/pint = 18/2 bowls = 9 bowls. QED.
What is 13x + 21y - 14x - y simplified?
Answer:
-x + 20y
Step-by-step explanation:
trust me.. its right
Two rectangles are similar the sides of the larger rectangle have lengths of 24 and 30 inches the perimeter of the smaller rectangle is 27 inches find the length of the shorter side of the smaller rectangle
Answer:
small rectangle sides are 7.5 and 6
Step-by-step explanation:
Large rectangle perimeter=30+30+24+24=108
Small rectangle perimeter=27
27 is one fourth of 108 so:
small rectangle sides are 30/4 and 24/4
small rectangle sides are 7.5 and 6
Answer:
i have no clue
Step-by-step explanation:
it is really hard and i need help with it myself
The radii of the pedal sprocket, the wheel sprocket, and the wheel of the bicycle in the figure are 4 inches, 2 inches, and 14 inches, respectively. A cyclist is pedaling at a rate of 1 revolution per second.
(a) Find the speed of the bicycle in feet per second and miles per hour.
ft/sec
mph
(b) Use your result from part (a) to write a function for the distance d (in miles) a cyclist travels in terms of the number n of revolutions of the pedal sprocket.
d =
(c) Write a function for the distance d (in miles) a cyclist travels in terms of time t (in seconds). Compare this function with the function from part (b).
d =
Please show work so i know how you got your answer..thank you and have a nice day<3
Answer:
V=whl=2·2.5·4=20
Step-by-step explanation:
Answer:
2880 feet³
Step-by-step explanation:
since the question is asking for cubic feet we know we're finding volume.
v=l·w·b
v=4·24·30
=2880
There are 15 students on the chess team. Seven of the students are in the fourth grade.
Which shows the fraction of the team that is in the fourth grade?
A.
4
5
B.
7
15
O
C
8
15
OD. 15
7
Answer:
7/15 (B)
Step-by-step explanation:
7 fourth graders out of 15 total = 7/15
The width of a rectangle is (5x + 2) inches and the length is (6x − 7) inches. Find the area of the rectangle.
Answer:
30x² − 23x − 14Explanation:
Area = Length · WidthLength: (6x - 7)
Width: (5x + 2)
Create An Equation(6x - 7) (5x + 2)
= (6x + −7)(5x + 2)
(6x)(5x) + (6x)(2) + (−7)(5x) + (−7)(2)
= 30x² + 12x − 35x − 14
30x² − 23x − 14- PNW
.3x+.65 x 175=.50(x+175)
Can you please explain this step by step? Kinda confused about how to figure it out.
Answer:
[tex]x=131.25[/tex]
Step-by-step explanation:
[tex]0.3x+0.65*175=0.5(x+175)[/tex]
[tex]0.3x+113.75=0.5x+87.5[/tex] (Simplify both sides of the equation by multiplying on the LHS and distributing on the RHS)
[tex]0.3x+113.75-0.5x=0.5x+87.5-0.5x[/tex] (Subtract [tex]0.5x[/tex] from both sides of the equation to get all [tex]x[/tex] terms to one side)
[tex]-0.2x+113.75=87.5[/tex] (Simplify)
[tex]-0.2x+113.75-113.75=87.5-113.75[/tex] (Subtract [tex]113.75[/tex] from both sides of the equation to isolate [tex]x[/tex])
[tex]-0.2x=-26.25[/tex] (Simplify)
[tex]\frac{-0.2x}{-0.2} =\frac{-26.25}{-0.2}[/tex] (Divide both sides of the equation by [tex]-0.2[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]x=131.25[/tex] (Simplify)
Hope this helps!
Please help me?! I don’t have a lot of time? Please I will give brainiest for the correct answer !
Answer:
It should be -3
Hope it helped i tried to help you ASAP
Step-by-step explanation:
Need help with math points and brainlest
Answer: 10 because if they have the same shape then it must be 10.
I'm not sure if they want the same area or the same length. But if you want the volume then it would be 2. Because 2 x 75 = 150 and 15 x 10 = 150. Wait for more responses if needed.
what is the answer
y-11=25-3y
Answer:
9
Step-by-step explanation:
y-11=25-3y
y + 3y = 25 + 11
4y = 36
y = 36 / 4
y = 9
Hope it will help :)
I don't understand how to do this
Answer:
x = 86
Step-by-step explanation:
The top right and bottom left angles are part of the reflective property, in turn, the bottom left angle is also 94 degrees; to find the opposite relfective angle set, it would be, in this problem, the top left and bottom right angles; the two top angles make up 180 degrees, so it would be (180-94 = 86) 86 degrees for both the top left and the bottom right angles.
Hope this helps :)
Solve the equation 6X+2=74