The water depth in a harbor rises and falls over time. The function f(t) = 4.1 sine (StartFraction pi Over 6 EndFraction t minus StartFraction pi over 3 EndFraction) + 19.7 models the water depth, in feet, after t hours.

During the first 24 hours, at what times does the water depth reach a maximum?

Answers

Answer 1

Answer:

Below

Step-by-step explanation:

f(t) = 4.1 (sin pi/6 t  - pi/3) + 19.7    <===will be a maximum when the sin portion is equal to 1

   so    sin ( pi/6 t - pi/3) = 1     given that sin is equal to one   at 0 and pi and 2 pi  and 3 pi    and 4 pi   etc

              pi/6 t - pi/3 =  0  or pi , 2 pi, 3 pi  , 4 pi

                  then t = 2 and 8 and 14   and 20 hrs  ( every 6 hrs starting with t = 2)


Related Questions

please help due in 10 min will mark brainliest

Answers

Answer:

Option D will be your answer

------------------------------------------

hope it helps..

have a great day!!

Teresa's fish tank has 17 liters of water in it. She plans to add 6 liters per minute until the tank has at least 71 liters. What are the possible numbers of minutes
Teresa could add water?
Uset for the number of minutes
Write your answer as an inequality solved for t.

Answers

Answer:

about 11 or 12, the specifically 11.8

Step-by-step explanation:

hope that helps dont know how to do the inequality part tho

ami
This table shows a proportional relationship between the number of students in a school and the
number of buses required to get them to and from school.
Number of
Buses
Number of
Students
64
2
128
4
192
6
Enter the number of students in 1 school bus.

Answers

Answer:

32

Step-by-step explanation:

As per table we have:

2x = 64 or 4x = 128 or 6x = 192 ⇒ x = 32

32 students in 1 school bus

What type of counting problem is this? How many different sequences of 3 playing cards (from a single 52-card deck) exist?

Combination without repetition
Permutation without repetition
Permutation with repetition
Combination with repetition

Answers

Answer:

Permutation without repetition

Step-by-step explanation:

The order of the cards matter, which makes it a permutation, but since none of the cards are exactly the same, repetition isn't allowed/possible

The problem is of the type permutation without repetition.

What is permutation and combination?

Permutation and combination are the methods used in counting how many outcomes are possible in various situations. Permutations is used in the case of arrangements and combinations is used in the case of selections.

What will use in the given scenario?

In the given scenario, the order of cards is a priority therefore, permutation will use.

Also, the cards are not repeating in the scenario.

Therefore, the sequence is permutation without repetition.

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find a number such that 30% of it is 1260

Answers

well, that number is "x", which oddly enough is the 100%, now, we also know that 30% of that is 1260, so hmmmm

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 1260& 30 \end{array} \implies \cfrac{x}{1260}~~=~~\cfrac{100}{30} \\\\\\ \cfrac{ x }{ 1260 } ~~=~~ \cfrac{ 10 }{ 3 }\implies 3x=12600\implies x=\cfrac{12600}{3}\implies x=4200[/tex]

what is the quotient of g and 25

Answers

Answer:

the quotient of g and 25 is g/15.

Answer pls! I hope this isn't too hard.

Answers

Answer:

8⁶/8⁻⁵8¹¹

Step-by-step explanation:

When increasing the power of an integer by another power, you should multiply both powers to find the total power that the integer should be raised to. In this case therefore:

= 3 * 2

= 6

So the numerator will be 8⁶

When dividing the same integers raised to powers, you should subtract the power of the divisor from the power number being divided.

In this case therefore, you are to subtract (-5) from 6 (calculated in first part).

= 6 - (-5)

= 6 + 5

= 11

Another way of writing the above will therefore be: 8¹¹.

Please help, no links please

Answers

Given:

The figure of a rhombus.

To find:

The measure of angle 1.

Solution:

First label the vertices of the rhombus as shown in the below figure.

We know that the opposite angles of a rhombus are congruent and the diagonals of a rhombus bisect each vertex angle.

[tex]m\angle ABD=m\angle CBD=30^\circ[/tex]       (Diagonal BD is the angle bisector)

Now,

[tex]m\angle ABC=m\angle ABD+m\angle CBD[/tex]  

[tex]m\angle ABC=30^\circ+30^\circ[/tex]

[tex]m\angle ABC=60^\circ[/tex]  

We know that the consecutive angles of a rhombus are supplementary. It means the sum of each pair of consecutive angles is 180 degrees.

[tex]m\angle BAD+m\angle ABC=180^\circ[/tex]

[tex]m\angle 1+60^\circ=180^\circ[/tex]

[tex]m\angle 1=180^\circ-60^\circ[/tex]

[tex]m\angle 1=120^\circ[/tex]

Therefore, the measure of angle 1 is [tex]m\angle 1=120^\circ[/tex].

3 2/5 divided by 2 7/8 equals

Answers

Answer:

17/5÷23/8= 1  21/115

The answer is 1  21/115

A traffic radar records the speed of cars driving through an intersection. It records these statistics:

Mean=36.2 mph
Median=28.5 mph
Mode=30.0 mph

What is the most common speed of a car driving through the intersection?
a. 31.6
b. 36.2
c. 30.0
d. 28.5

Answers

The most common speed of a car driving through the intersection is 30.0 mph which is indicated by the Mode.

What is the mode of data?

A mode of data is defined as an observation with the highest frequency among the values that appear most frequently in the given data.

In the case of ungrouped data, all that is required is to find the observation that happens most frequently.

A traffic radar records the speed of cars driving through an intersection. It records these statistics:

Mean = 36.2 mph

Median = 28.5 mph

Mode = 30.0 mph

As per the question, a car driving through the intersection at 30.0 mph is the most common speed.

This is indicated by the Mode which is the value that appears most frequently in a data set.

Hence, the correct answer would be an option (C).

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!!!!!! URGENT PLS HELP ME ANSWER !!!!

Answers

Answer:

1) A = 547.1136, C = 82.896

2) A = 678.5226, C = 92.316

3) A = 844.5344, C = 102.992

4) A = 1554.49625, C = 139.73

5) A = 1561.4906, C = 140.044

6) A = 994.8776, C = 111.784

Step-by-step explanation:

1)

[tex]A = \Pi (\frac{D}{2})^2 = 3.14 * (\frac{26.4}{2})^2 = 3.14 * 13.2^2 = 547.1136[/tex]

[tex]C = \Pi D = 3.14 * 26.4 = 82.896[/tex]

2)

[tex]A = \Pi r^2 = 3.14*(14.7)^2 = 678.5226[/tex]

[tex]C = 2\Pi r = 14.7*2 * 3.14 = 92.316[/tex]

3)

[tex]A = \Pi (\frac{D}{2})^2 = 3.14 * (\frac{32.8}{2})^2 = 3.14 * 16.4^2 = 844.5344[/tex]

[tex]C = \Pi D = 3.14 * 32.8 = 102.992[/tex]

4)

[tex]A = \Pi (\frac{D}{2})^2 = 3.14 * (\frac{44.5}{2})^2 = 3.14 * 22.25^2 = 1554.49625[/tex]

[tex]C = \Pi D = 44.5*3.14 = 139.73[/tex]

5)

[tex]A = \Pi r^2 = 3.14*22.3^2 = 1561.4906[/tex]

[tex]C = 2\Pi r = 2 * 3.14 * 22.3 = 140.044[/tex]

6)

[tex]A = \Pi r^2 = 3.14 * 17.8^2 = 994.8776[/tex]

[tex]C = 2\Pi r = 2 * 3.14 * 17.8 = 111.784[/tex]

Find the missing term 2,..,20,29

Answers

Answer:

11

Step-by-step explanation:

29-20= 91

2+9=11

11+9=

It would be 11, and the pattern is +9. 2+9 is 11, 11+9 is 20, 20+9 is 29

Find the measure of KM in the circle.

Answers

Answer:

KM = 180° - 133° = 47°

KM = 47°

y=1/4x+4, solve for x

Answers

[tex] \huge\pmb{\red{A}\pink{N}\orange{S}\blue{W}{E}\purple{R᭄}}[/tex]

[tex]\sf y = \frac{1}{4} \red{x} + 4[/tex]

[tex]\sf y = \frac{\red{x}}{4} + 4[/tex]

[tex]\sf y = \frac{\red {x}+4*4}{4}[/tex]

[tex]\sf y = \frac{\red {x}+16}{4} [/tex]

[tex]\sf y = \frac{\red {x}+16}{2^2}[/tex]

[tex]\sf 4y = \red {x}+16[/tex]

[tex]\sf 4y+(-16) = (\red x+16) + (−16)[/tex]

[tex]\sf 4y− 16 = \red{x }+ 16 − 16[/tex]

[tex]\sf 4y-16= \red x[/tex]

[tex]\boxed{ \sf\red{x} = 4y-16}[/tex]

_____________________....

[tex] \pmb{\color{purple}{LearningLifell}}[/tex]

FIRST (CORRECT) ANSWER I WILL GIVE BRAINLIEST

Plot and connect the points A(-6, 2), B(3, -6), C(-6, -6), and find the area of the triangle formed.

A.

36 square units

B.

72 square units

C.

4 square units

D.

12.5 square units

Answers

Answer:

A

Explanation:

If you graph the points and connect them, you'll see the triangle they're asking about. Yhe base of the triangle is 9 and the height is 8. The area of a triangle is half of the base times the height. So multiply 8 by 9 and you get 72. This is twice the area. So divide it by 2 and you get 36, which is the area of the triangle. So the answer is A.

Question 2(Multiple Choice Worth 2 points)
(Pythagorean Theorem and the Coordinate Plane MC)
Determine the length and g the line segment shown
!!!!please help me!!!!

Answers

The measurement of the hypotenuse is obtained as 9 units using the Pythagoras theorem.

What is Pythagoras Theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

According to the graph -

The perpendicular measures 4 units.

The base measures 3 units.

To find the hypotenuse g apply the Pythagoras theorem -

(hypotenuse)^2=(base)^2+(perpendicular)^2

(g)^2=(3)^2+(4)^2

(g)^2=9+16

(g)^2=25

g=[tex]\sqrt{25}[/tex]

g=5

Therefore, line segment g measures 5 units.

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Find the sum of the geometric series. sqrt3 - 3/2 + 3sqrt3/4 - 9/8 ...
a. sqrt3
b. 4sqrt3 - 6
c. sqrt3 - 3/2
d. Does not exist

Answers

Answer:

C?

Step-by-step explanation:

In my opinion I probably think it could be C but you don't have to choose it. It could probably be wrong.

Answer: B

Step-by-step explanation:

Solve each equation for both variables help please 15 points

Answers

Answer:

x = 12 and y = 11

Step-by-step explanation:

4x+3y=-15 -----equation 1st

4x-y = -27 ____equation 2nd

then,

Multiple equation second by 3 and slove it with equation first

4X +3Y = -15

12X -3Y = -81 (Multiples it with 3)

-8x = -96 (subtracted)

x=-96/-8

therefore, x=12

again,

from equation first

4x+3y = -15

or 4 × 12 + 3y = -15

or 3y = -15+48

or 3y= 33

or y=33/3

therefore, y =11

I hope this helps. If you have any doubt feel free to ask!!

Answer:

x = -6,  y = 3

Step-by-step explanation:

1)  4x + 3y = -15

2)  4x - y =  -27

     0 + 4y = 12       subtract equation (2) from equation (1)

4y = 12

y = 12/4 = 3         substitute y = 3 into either equation 1 or 2 and solve for x

4x + 3(3) = -15

4x = -24

x = -6

Check your answers by plugging x = -6, y = 3 into the equations:

4(-6) + 3(3) = -15   correct!

4(-6) - 3 = -27        correct!

HELP ASAP!
In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 7 times out of 10 attempts. Tasha has hit the ball 10 times out of 16 attempts. Which player has a ratio that means they have a better batting average?

Tasha, because she has the lowest ratio since 0.7 < 0.625
Tasha, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80
Jana, because she has the lowest ratio since 0.7 < 0.625

Answers

Answer: The correct answer is C. Jana has a higher ratio of hits to total attempts, so she has a better batting average. This can be calculated by dividing the number of hits by the number of attempts: Jana's batting average is 7/10 = 0.7, and Tasha's batting average is 10/16 = 0.625. Since 0.7 is greater than 0.625, Jana has a higher batting average.

Jana has a better batting average, because she has a higher ratio of hits to total attempts. You can find the batting average for each player by dividing the number of hits by the number of attempts. In this case, Jana's batting average is 7 hits / 10 attempts = 0.7, and Tasha's batting average is 10 hits / 16 attempts = 0.625. Since 0.7 is greater than 0.625, Jana has a higher batting average.

20 Points HELP IN NEED!!!!!!

Each scoop radius (center to surface) is 3 cm long. What should be the capacity (volume) of the cylindrical container the shop pack the ice cream to take out?

Answers

Answer:

at least 226.2

Step-by-step explanation:

Add the 2 volumes of the scoops, one scoop is 113.1

The school cafeteria offers three choices for the main course (peanut
butter and jelly sandwich, burrito, or fish sticks) and two choices for the
side dish (vegetables or potatoes) and three choices for the dessert (ice
cream, brownie, or cookies). How many different combinations can the
students order from these choices?

Answers

Answer: 18 different combinations

Step-by-step explanation: When finding out combinations, you just multiply all the numbers. In this case, it would be 3x2x3 which equals 18. Please mark brainliest <3

Write an algebraic expression for each item. Use x for the variable.
Example:
A number times the difference of 58 and 17
x (58-17)
1. a number subtracted from 50
2. twice a number added to 189
3. 109 more than a number
4. 99 more than a number
5. a number times the difference of 76 and 39
6. a number added to 75
7. thrice the number subtracted from 45
8. 15 more than twice a number
9. 25 less than 3 times the number
10. a number times the sum of the number and 88​

Answers

Answer:

1. 50-x

2. 2x+189

3. x+109

4. x+99

5. x*(76-39)

6. 75+x

7. 45-3x

8. 2x+15

9. 3x-25

10. x*(x+88)

Step-by-step explanation:

Select the locations on the number line to plot the points 1, 4, and −3.

Answers

The locations of the points on the number line are:

point 1: 1 step to the right of 0.

point 4: 4 steps to the right of 0.

point -3:  3 steps to the left of 0

How to select the locations on the number line to plot points?

A number lines is an horizontal straight line in which the integers are placed in equal intervals.

All positive numbers on the number line are on the right side of zero while the negative numbers are on the left side of zero.

To locate 1: starting from 0, count 1 step to the right.

To locate 4: starting from 0, count 4 steps to the right.

To locate -3: starting from 0, count 3 steps to the left.

Check the attached image to see the points.

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To the nearest tenth, find the volume of a sphere with a radius of 4.8 cm. Use 3.14 for π.

Answers

Answer:

463 rounded

Step-by-step explanation:

4/3 times pi times r times r times r.

4.8 x 4.8 x  4.8 = 110.592 x 3.14 x 4/3 = 463

Volume of sphere is 463.01 [tex]cm^{3}[/tex].

What is the volume of sphere?

The volume of sphere is the measure of space that can be occupied by a sphere. If we draw a circle on a sheet of paper, take a circular disc, paste a string along its diameter and rotate it along the string. This gives us the shape of a sphere.

Volume of sphere = [tex]\frac{4}{3}\pi r^{3}[/tex]

Given

Radius of sphere r = 4.8 cm

Volume of sphere

V = [tex]\frac{4}{3}\pi r^{3}[/tex]

V = [tex]\frac{4}{3} \pi (4.8)^{3}[/tex]

V = 463.01 [tex]cm^{3}[/tex]

Volume of sphere is 463.01 [tex]cm^{3}[/tex].

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A lap around a track is 2/5 of a mile.

How many laps is a 1 1/2 mile race?

A. 4/15
B. 3/5
C. 1 1/10
D. 1 1/5
E. 3 3/4

Answers

2.2 laps is a 1 1/2 mile race.

What is a lap?

When a driver or a runner makes one trip around the track i.e. one full circle it is called lap.

Given a lap around a track is 2/5 of a mile.

1 lap =2/5 mile

x lap = 11/2 mile

x lap =(11/2) ÷(2/5)

x lap = 11/5 or 2.2

Thus 2.2 laps is a 1 1/2 mile race.

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Help me out with these please!

Answers

Step-by-step explanation:

1. a) q=4+0.8(7)

q=4+5.6

q=9.6

b) q=4+0.8(100)

q=4+80

q= 84

2. a) 12=4+0.8p

-4 -4

8=0.8p

0.8 0.8

10=p

b) 60=4+0.8p

-4 -4

56=0.8p

0.8 0.8

70=p

Answer:

Q1. a) q= 9.6

b) q= 84

Q2. a) p= 10

b) p= 70

Step-by-step explanation:

Substitute the equation with the given value and solve the equation to arrive at the answer.

Q1. a) q= 4 +0.8p

When p= 7,

q= 4 +0.8(7)

q= 4 +5.6

q= 9.6

b) q= 4 +0.8p

When p= 100,

q= 4 +0.8(100)

q= 4 +80

q= 84

Q2. a) q= 4 +0.8p

When q= 12,

12= 4 +0.8p

0.8p= 12 -4 (-4 on both sides)

0.8p= 8

p= 8 ÷0.8 (÷0.8 on both sides)

p= 10

b) q= 4 +0.8p

When q= 60,

60= 4 +0.8p

0.8p= 60 -4 (-4 on both sides)

0.8p= 56

p= 56 ÷0.8 (÷0.8 on both sides)

p= 70

what is the cosine of π/3

Answers

Answer: 1/2

I recommend printing out a sheet of exact trigonometric functions or using a unit circle to answer problems like these if you haven’t memorized some of them. Or just use a calculator in radians mode if you’re allowed to.

Find the equivalent measures. Express as a decimal
(a) 250 cm =

Answers

The answer is 2.50. This, 250% in deciaml form is 2.50, in improper fraction form is 52 and as a mixed number it is 2 12. 2 1 2.

Plz help me well mark brainliest if correct!!...

Answers

Answer:

a

Step-by-step explanation:

it the only one with an area of 17 square inches

Answer: Polygon A is 17 Square units

2) Find each angle measure to the nearest degree
Find m.
4.2 in.
I
B
6.5 in.
pleaseeeeeeee help if correct will mark brainliest

Answers

Answer: AB=7.74in.;m<A

=57*;m<B=33*

Step-by-step explanation

this symbol means degrees *

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