Answers
Step-by-step explanation:
A. First, convert 30 minutes to a hour.
[tex] \frac{30 \: mins}{1} \times \frac{1 \: hour}{60 \: mins} = 0.5 \: hours[/tex]
[tex]4 + 0.5 = 4.5 \: hours[/tex]
Now, we can subsitue.
Part A: 1.
[tex]d(t) = 6 + 5.5 \cos( \frac{\pi}{6}(4.5) ) [/tex]
[tex]d(t) = 6 + 5.5 \cos( \frac{3\pi}{4} ) [/tex]
Part B:
[tex] \cos( \frac{3\pi}{4} ) = - \frac{ \sqrt{2} }{2} [/tex]
so
[tex]6 + 5.5( - \frac{ \sqrt{2} }{2} )[/tex]
which is approximately
2.11. feet.
Part C: The depth of the water is approximately 2.11 feet in 4.5 hours, or 4 hours and 30 minuties.
Related Questions
whats 506 divided by 6
Answers
Answer:
84.33333333
or rounded...
84.3
or 84 if asked to be rounded to whole
If I have 18 employees and I want to give each employee half a cupcake how many cupcakes do I need
Answers
Find the missing side (X) round to the nearest hundredth
Answers
Answer:
[tex]\displaystyle 18,28 ≈ x[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{11} = csc\:37 \hookrightarrow 11csc\:37 = x \hookrightarrow 18,278041552... = x \\ \\ 18,28 \approx x[/tex]
OR
[tex]\displaystyle \frac{11}{x} = sin\:37 \hookrightarrow xsin\:37 = 11 \hookrightarrow \frac{11}{sin\:37} = x \hookrightarrow 18,278041552... = x \\ \\ 18,28 \approx x[/tex]
Information on trigonometric ratios
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
I am joyous to assist you at any time.
help.. Each patron pays an annual fee of $36 to the library. If the library collects $20,304 from the annual fee, how many patrons are there?
Answers
Answer: 564 patrons. also omg chiaki pfp so based
A quadratic function y=f(x) is plotted on a graph and the vertex of the resulting parabola is (-6, 4). What is the vertex of the function defined as g(x)=f(x-2)-2
Answers
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{vertex}{\stackrel{h}{-6}~~,~~\stackrel{k}{4}}\qquad \implies f(x)=a[x-(-6)]^2+4\implies \underline{f(x)=a(x+6)^2+4} \\\\[-0.35em] ~\dotfill[/tex]
[tex]f(x-2)=a[(x-2)+6]^2+4\implies \underline{f(x-2)=a(x+4)^2+4} \\\\\\ f(x-2)-2\implies [a(x+4)^2+4]-2\implies \underline{a(x+4)^2+2=g(x)} \\\\\\ a[x-(\stackrel{h}{-4})]^2\stackrel{k}{+2}=g(x)\qquad \stackrel{vertex}{-4~~,~~2}[/tex]
can someone help me with these
Answers
Answer:
a=(x+7)(x+-2)
Step-by-step explanation:
(x+a)(x+b)=x²+(a+b)x+(ab)
Answer:
a) (x +7)(x -2)
b) x = -7 or +2
Step-by-step explanation:
a)A trinomial is factored by realizing that the constant term (-14) is the product of the binomial constants, and the coefficient of the linear term (5) is their sum. Here, we can examine the factorization of -14 to see which factors may have a sum of 5:
-14 = (-1)(14) = (-2)(7) = (-7)(2) = (-14)(1)
Sums of these factor pairs are 13, 5, -5, -13. Clearly, we could stop writing factorizations when the sum stops being positive. The values of interest are -7 and 2. They tell us the trinomial is factored as ...
x² +5x -14 = (x +7)(x -2)
__
b)The zeros of the quadratic are the values of x that make the above factors be zero. The zero product rule tells you the only way the product will be zero is for a factor to be zero.
x +7 = 0 ⇒ x = -7
x -2 = 0 ⇒ x = 2
The solutions are x = -7 or x = 2.
pls help I just want to enjoy spring break plsssss
Answers
Answer:
homedogxD: 74 + x + 62 + 55 = 180. So x = -11
Step-by-step explanation:
This is from homedogxD but no one put it as an answer so..................
expand (5/8x+y^5)(y^5-5/8 x)
PLEASE HELP ME PLEASE I WILL GIVE BRAINLYEST
Answers
Answer:
[tex]y^{10}-\dfrac{25}{64}x^2[/tex]
Step-by-step explanation:
Given expression:
[tex](\frac58x+y^5)(y^5-\frac58 x)[/tex]
Change the order of the terms in the first parentheses:
[tex]\implies (y^5+\frac58x)(y^5-\frac58 x)[/tex]
Apply the Difference of Two Squares: [tex](a+b)(a-b)=a^2-b^2[/tex]
[tex]\implies (y^5)^2-(\frac58x)^2[/tex]
Apply exponent rule [tex](a^b)^c=a^{b\cdot c}[/tex]
[tex]\implies y^{10}-(\frac58x)^2[/tex]
Apply exponent rule [tex]\left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}[/tex]
[tex]\implies y^{10}-\left(\dfrac{5^2}{8^2}x^2\right)[/tex]
[tex]\implies y^{10}-\dfrac{25}{64}x^2[/tex]
Dilate the figure with the origin as the center of dilation.
(x,y) → (1.5x, 1.5y)
Answers
Step-by-step explanation:
try this option; for more info see the attachment. New figure is painted with red colour (triangle A'B'C').
The ratio of plain bagels to garlic bagels is 2:3. The ratio of poppy seed bagels to plain bagels is 5:2. What is the ratio of garlic bagels to poppy seed bagels?
Answers
A cylinder has a radius of 17 millimeters. Its volume is 13,611.9 cubic millimeters. What is
the height of the cylinder?
Use 3.14 and round your answer to the nearest hundredth
millimeters
Answers
Answer:H=15.00mm
Step-by-step explanation:
The sum of the measures of angle A and angle B is 90°
• The measure of angle A is (4x + 30)
The measure of angle B is (40)
What is the value of x?
Answers
Answer:
x = 5
Step-by-step explanation:
Given:
The sum of the measures of angle A and angle B is 90° The measure of angle A is (4x + 30)The measure of angle B is (40)To Find:
What is the value of x?
Note:
Two angles that add up to give you 90° is a complementary angle.
Thus, Since angle A and angle B sum up to give 90°, they are complementary angles.
Solve:
The following equation can be created to solve for the value of x:
m ∠A + m∠ B
Substitute
40 + 4x + 30 = 90
Add like terms
4x +70 = 90
Subtract 70 from both sides
4x = 90-70
4x = 20
Divide both sides by 4
x = 5
Therefore, the value of x is 5
~Learn with Lenvy~
Sara made a withdrawal of $80. Tom deposited $47.50.
Which transaction involved more money?
Answers
Answer: Sara's transaction involved more money.
Step-by-step explanation: 47 is less than 80 and since its in dollars, Sara's $80 would be the answer.
If you want to sell your cupcakes for $2 per dozen, you can make a profit of $160. If raise the cupcake price by
$1, you can make a profit of $216. If you raise the cupcake price by $2 (which makes them S4 per dozen) you can
make $256 profit. What is the maximum profit you can make? What should you charge for your cupcakes?
Answers
The maximum profit is $288, and you should charge $6 per dozen.
How to get the relation between demand and prize?
Let's assume that demand depends linearly on price, such that we can write:
q = a*p + b
where q is the demand and p is the price.
We have 3 points of that line:
When you sell at $2 per dozen, you win $160, so you sold 80 dozens.When you sell at $3 per dozen, you win $216, so you sold 72 dozens.When you sell at $4 per dozen, you win $256, so you sold 64 dozens.The slope of the line is given by:
[tex]a = \frac{q_2 - q_1}{p_2 - p_1}[/tex]
Where these are values of demand and prize for two different points, if we use the first two points we get:
[tex]a = \frac{72 - 80}{3 - 2} = -8[/tex]
Then the line is something like:
q = -8*p + b
Remember that when p = 2, the demand is equal to 80, replacing that we get:
80 = -8*2 + b
80 + 16 = b = 96.
So the line is:
q = -8*p + b
How to maximize the profit?Profit is given by the product between the demand and the price, so we have.
Profit = p*q = p*(-8*p + 96) = -8p^2 + 96p
We want to maximize that, notice that is a quadratic equation of negative leading coefficient, so the maximum is at the vertex, using the equation for the vertex of a quadratic equation we will see that the maximum is at:
p = -96/(2*-8) = 6
Then the maximum profit is:
profit = -8*(6)^2 + 96*6 = 288
The maximum profit is $288, and you should charge $6 per dozen.
If you want to learn more about linear relations, you can read:
https://brainly.com/question/1884491
Slope- intercept form: y= -4/3x + 2
what is the standard form?
Answers
Answer:
4x+3y=6
Step-by-step explanation:
hope this helps
Megan added two numbers and the resulting sum was the new rational number. If the first number was 2/3, which of the following could be the second number? Select two that apply
Answers
Answer:
I have no idea and I'm not that smart
In addition to writing new facts for February 29, the twins also need to add another image in the middle of their flip-book animation. The animation sequence is of Dorothy's house from the Wizard of Oz as it is being carried over the rainbow by a tornado. The house in the February 28 drawing has been rotated to create the house in the March 1 drawing. Carlos believes that he can get from the February 28 drawing to the March 1 drawing by reflecting the February 28 drawing, and then reflecting it again.
A. What convinces you that the February 29 image is a reflection of the February 28 image about the given line of reflection?
B. What convinces you that the March 1 image is a reflection of the February 29 image about the given line of reflection?
C. What convinces you that the two reflections together complete a rotation between the February 28 and March 1 images?
Answers
Answer:
Its C. What convinces you that the two reflections together complete a rotation between the February 28 and March 1 images?
Step-by-step explanation:
In addition to writing new facts for February 29, you gotta do what you learned and add the houses
Claudia can text 3 times as fast as Fiona. Claudia can text 78 words per minute. How many words per minute can Fiona text?
Answers
Answer:
Fiona can type 26 words per minute.
Step-by-step explanation:
Just divide 78÷3 (78 words divided by the x3), which gives you 26.
Hope it helps!
The cubic polynomial f(x) is such that the coefficient of x^3 is 2 and the roots of the equation f(x)=0 are -1, 3 and c. It is given that f(x) has a remainder of 8 when divided by x - 1. Find the value of c.
Answers
Answer:
1 add on both sides
subtract
2
4
4
What is the domain and limit(s) of f(x)=1/x+3?
Answers
Jesselyn made 6 muffins. She used 3/8 teaspoon of baking powder for each muffin. How much baking powder did Jesselyn use for all of the muffins?
A.18/48
B.9/8
C.18/8
D.48/3
Answers
Answer:
C
Step-by-step explanation:
Multiply the number of muffins by how much baking powder is in each muffin. That's read as 6/1 × 3/8 which equals 18/8.
For each fraction, decimal, or percent, write the equivalent number from the list below. 0.68, 19/50, 9/20, 80%, 0.54. A. 38% _____ B. 4/5 ______ C. 17/25_______. D. 27/50_______. E. 0.45_______
Answers
Answer:
A. 38% - 19/50
B. 4/5 - 80%
C. 17/25 - 0.68
D. 27/50 - 0.54
E. 0.45 - 45% or 9/20
Step-by-step explanation:
A. 19/50 - 38/100 - 38%
B. 4/5 - (times by 20 (the numerators and denominators)) - 80/100 - 80%
C. 17/25 - (times by 4 (the numerators and denominators)) - 0.68
D. 27/50 - 54/100 - 0.54
E. 0.45 - 45/100 - 9/20 - 45%
What is the equation of the line that passes through the point (4,6) and has a
slope of 0
Answers
Solution:
We know that:
(x,y) = (4,6) ⇒ x = 4, y = 6Slope = 0Since we know the coordinates and the slope of the line, we can use point slope form to find the equation.
y - y₁ = m(x - x₁)⇒ y - 6 = 0(x - 4)⇒ y - 6 = 0⇒ y = 0 + 6⇒ y = 6Thus, the equation of the line is y = 6.
Answer/Step-by-step explanation:
Given us that;
Passes through the point (4,6)
slope of 0
Note;
The equation of a line has the form:
y - y₁ = m(x - x₁)
Solve;
Now we plug in the coordinates of the given point the line goes through, and solve:
y - 6 = 0(x - 4)
y - 6 = 0
y = 0 + 6
y = 6
Hence, equation of the line is y = 6
[RevyBreeze]
Abby has a credit card which uses the adjusted balance method to compute finance charges. her card has an apr of 11.83%, and she is on a 30-day billing cycle. the table below shows her transactions in the month of january. date amount ($) transaction 1/1 722.10 beginning balance 1/6 18.12 purchase 1/7 65.00 payment 1/14 18.00 purchase 1/20 44.79 purchase 1/23 34.25 purchase 1/27 40.00 payment what will abby’s january finance charge be? a. $6.08 b. $7.12 c. $7.22 d. $8.25
Answers
Abby's January finance charge is $7.22, the correct option is C.
What is the adjusted balance method?Adjusted balance method: Based on finance charges on the amount(s) owed at the end of the current billing cycle after posted credits and payments.
The total amount on which interest will be applied using the adjusted balance method is;
[tex]=722.10 + 18.12-65.00 +18.00 + 44.79+ 34.25 - 40.00\\\\= 732.26[/tex]
Abby’s January finance charge will be;
[tex]= 732.26 \times 11.83 \times \dfrac{30}{360}\times \dfrac{1}{100}\\\\= 7.22[/tex]
Hence, Abby's January finance charge is $7.22.
To get more about the adjusted balance method please refer to the link,
brainly.com/question/14351468
Abby has a credit card which uses the adjusted balance method to compute finance charges. her card has an apr of 11.83%, and she is on a 30-day billing cycle. the table below shows her transactions in the month of January. date amount ($) transaction 1/1 722.10 beginning balance 1/6 18.12 purchase 1/7 65.00 payment 1/14 18.00 purchase 1/20 44.79 purchase 1/23 34.25 purchase 1/27 40.00 payment what will Abby’s January finance charge be? a. $6.08 b. $7.12 c. $7.22 d. $8.25
The answer is C.
The graph below describes the journey of a train between two cities.
a) Work out the
acceleration, in km/h?,
in the first 15 mins.
b) Work out the distance
between the two cities. $60
Velocity (in km/h)
c) Work out the average
speed of the train during 20
the journey.
Answers
Answer:
[A] Acceleration in first 15 min = 200 km/h²
[B] Distance between two cities = 125 km
[C] Average Speed of journey = 62.5 km/hr
Step-by-step explanation:
To Solve:
Acceleration in first 15 min
Distance between two cities
Average speed of journey
Solve:
[A] Work out the acceleration, in km/h?, in the first 15 mins.
Each horizontal block is 1/8 hr = 7.5 min
Each vertical block is 10 km/hr
Time Velocity km/hr
0 Min ( 0 hr) 0
15 Min (1/4 hr) 50
45 Min (3/4 hr) 50
60 MIn ( 1 hr) 100
90 Min ( 3/2 hr) 100
120 Min ( 2hr) 0
Acceleration in first 15 min (1/4 hr) = (50 - 0)/(1/4 - 0) = 50/(1/4)
= 200 km/h²
Hence, Answer for [A] = 200 km/h²
[B] Work out the distance between the two cities. $60 Velocity (in km/h)
= (1/2)(0 + 50)(1/4 - 0) + 50 * (3/4 - 1/4) + (1/2)(50 + 100)(1 - 3/4) + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)
= 25/4 + 25 + 75/4 + 50 + 25
= 125
Distance between two cities = 125 km
[C] Work out the average speed of the train during 20 the journey.
Average Speed of journey = 125/2 = 62.5 km/hr
[RevyBreeze]
If I drove 15 1/2 miles in 2/5 hours, what is my average speed in miles per hour?
Answers
Answer:
(15 1/2 ) divided by 2/5= 38 3/4 miles per hour
Question is in the picture:
Answers
Answer:
the answer is 224 that's my answer
Answer:
48
Step-by-step explanation:
es el porcentaje de 200 en la calculadora seria 24 x 200/100
Evaluate the expression for f=-10 9f+39
Answers
Answer:
The answer is 129.
Step-by-step explanation:
If f = 10, we would have to multiply 9 x 10, which is 90.
Add that to 39, and you will get 129.
Hope you can understand this
Answer:
-51
Step-by-step explanation:
Katrina works as an agent for "Let's Go Air". She averages fifteen passengers every twenty minutes. Stefon also works for the airline and averages fifteen passengers every twenty-five minutes. If Kathrina and Stefon work together, about how many minutes will it take to process fifteen passengers?
Answers
The equation computed shows that the number of minutes that it will take to process fifteen passengers is 11.11 minutes.
How to solve the equationSince Katrina averages fifteen passengers every twenty minutes and Stefon also works for the airline and averages fifteen passengers every twenty-five minutes, this can be represented this:
1/x = 1/20 + 1/25
1/x = 9/100
9x = 100
Divide through by 9
x = 100/9
x = 11.11 minutes
Learn more about equations on:
https://brainly.com/question/1214333
What is the direction of b?
A. north B. south C. east D. west
Answers
Answer:
A. North
Step-by-step explanation: