Answer:
A = 175, B = π/6, C = 345
Step-by-step explanation:
The given variation of the volume in the tank and time includes are;
At t = 0 the volume in the tank, y = Maximum volume, [tex]y_{max}[/tex] = 520 gallons
At t = 6 the volume in the tank, y = Minimum volume, [tex]y_{min}[/tex] = 170 gallons
The function that models the situation is y = A·cos(B·x) + C
Given that the function that models the situation is the cosine function, we have;
A = The amplitude = (The maximum - The minimum)/2
∴ A = (520 - 170)/2 = 175
A = 175
The period = The time to change from maximum to minimum = 2 × The time to change from maximum (t = 0) to minimum (t = 6)
∴ The period = 2 × (6 - 0) = 12
The period = 12 seconds = 2·π/B
∴ B = 2·π/12 = π/6
B = π/6
C = The vertical shift = Th minimum + A = (The maximum + The minimum)/2
∴ C = (520 + 170)/2 = 345
C = 345
Will mark brainliest! Please help me :(
Michael is planting a garden. It has the shape of a right triangle. He wants 4 plants for each square yard of area. How many plants does he want in the garden?
Answer:
336 plants
Step-by-step explanation:
Area of a right triangle= 1/2•base•height
A= 1/2bh
A= 1/2•7•24
A= 84 yards^2
# of plants= yards^2•4
84•4= 336 plants
Hope this helped! Let me know my math was off of if you have any questions
What is the missing side? HELP!!!
Plz help will mark brainliest
Answer:
Hmmmm...I believe the answer is letter D.
99 % of the trees in our neighborhood are eucalyptus trees. The town planning commission wants to get rid of some of these trees because they spread too quickly. However, the people in my neighborhood like the trees. The commission argues that their new eucalyptus tree removal plan will cut down so few eucalyptus trees that 98% of the trees in our neighborhood will be eucalyptus trees. If the plan only involves removing eucalyptus trees, what percent of the existing trees in my neighborhood would the plan remove
Answer:
50%
Step-by-step explanation:
Let the total number of trees be T and suppose that this is made up of eucalyptus trees E and other kinds of trees, O.
Then E+O=T, and since 99% of the trees are eucalyptus trees, EE+O=0.99.
Therefore
0.99E+0.99O=E
0.01E=0.99O
E=99O.
Suppose we reduce the number of eucalyptus trees by some amount x and that the remaining number of eucalyptus trees are now 98% of the total trees.
Then we would have E−x(E−x)+O=0.98.
Therefore,
0.02(E−x)=0.98O
0.02E−0.02x=0.98O
0.02x=0.02E−0.98O
x=E−50(0.98)O
x=E−49O
x=E−49(E99)
x=5099E≈0.505050...×E.
So we end up removing a little over half of the eucalyptus trees. EDIT: Forgot to mention - removing 50.505050...% of the eucalyptus trees means that we are removing 0.50505050....×0.99T which is 0.5T or half the trees in the neighborhood.
Please help it’s geometry will mark brainliest!
Answer:
its 216
Step-by-step explanation:
when it's one the edge the arc is double the angle
PLEASE HELP QUICK!!!!! thank u
Answer:
d
Step-by-step explanation:
Regina has 16 pencils. James has 3 times as many pencils as Regina.
What are two ways to find the number of pencils James has?
A. 16 + 3 and 16 X 3
B. 16 + 16 + 16 and 16 x3
O C. 3+3+3 and 48 X3
D. 16 + 3 and 3 X 48
E. 3+3+3 + 16 and 16 X 3
Answer:
B
Step-by-step explanation:
PLS HELPPPP MEEEE I NEED HELP ASAPPP WITH THIS QUESTION
Answer: ratio 2/1 percent 5%
Step-by-step explanation:
you are welcome
Answer:
a. 23:12
b. 5.6%
Step-by-step explanation:
I NEED HELP WITH THIS RIGHT NOW!!
Kurt is training to run in a race. He recorded the distances and times of his trainings runs last week. On which day was the ratio of time to distance the greatest?
Answer:
c
Step-by-step explanation:
just derived everyone
Please help me find the perimeter and area of each polygon. Will mark brainlyist plus 30 points! It’s due in an hour
Answer:
Step-by-step explanation:
for the triangle:
1.9x8/2= 7.6mi (this is area)
perimeter=17mi
for the trapezoid:
area= 18.36+13.6=31.96yd
perimeter=24.1yd
Which value is the most precise representation of the
circumference of a circle with a diameter of 13?
a. 13(d)(7)
b. 13(3.14159)
C. 1310
d. 40.8407045
The answer would be B because its pieRsquared
23 puppies are for sale at the pet store 14 puppies are black and 6 puppies are brown the rest of the puppies have spots how many puppies have spots
Answer:
3 puppies have spots
Step-by-step explanation:
23-14=9
9-6=3
Answer:
3
Step-by-step explanation:
there are 23 puppies in total, 14 of them are black, and 6 puppies are brown
14+6=2020 puppies are black and brown without spotssubtract the total amount of puppies who are brown and black without spots from the total amount of puppies. 23-20=3There is 3 puppies with spots!Mary wears an outfit everyday that consists of one top one bottom and one scarf.Her wardrobe consist of 3 bottoms 5 tops, and 2 scarfs. how many different outfits can Mary put together?
Answer:
30
Step-by-step explanation:
You simply just mutliply them
3*5*2=30
Write the definition of "congruent" in your own words.
Answer:
The same shapes but flipped or turned.
Step-by-step explanation:
Answer:
the same shape and size but we allowed to flip slide or turn
hope this help
In 1993, a radio cost $25. Now, the radio cost $5. What is the percent of change?
Which box plot correctly displays the data set with a maximum of 24, a minimum of 3, a median of 15, an upper quartile of 19, and a lower quartile of 6?
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 3 to 24, and the box ranges from 6 to 19. A line divides the box at 15.
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 4 to 24, and the box ranges from 4 to 17. A line divides the box at 15.
A box-and-whisker plot. The number line goes from 0 to 25. The whiskers range from 3 to 24, and the box ranges from 6 to 17. A line divides the box at 15.
Answer:
its C
Step-by-step explanation:
The box plot which correctly displays the data set with the given values is A. The number line goes from 0 to 25. The whiskers range from 3 to 24, and the box ranges from 6 to 19. A line divides the box at 15.
What is Box Plot?Box plot, which is also known as box and whisker plot, is a method of graphically representing the measures like minimum, maximum and the quartiles of the data set.
Here three box and whiskers plots are given.
We have to find the box plot where,
Maximum point = 24
Minimum point = 3
Median = 15
Upper quartile = 19
Lower quartile = 6
Here the range of the whiskers depicts the maximum and minimum point.
So, the whisker must range from 3 to 24.
The range of the box depicts the quartile range.
So box must range from 6 to 19.
A line will be dividing in between which depicts the median.
So the line must be at 15.
Hence the correct plot is the number line goes from 0 to 25. The whiskers range from 3 to 24, and the box ranges from 6 to 19. A line divides the box at 15.
Learn more about Box and Whisker Plots here :
https://brainly.com/question/11859288
#SPJ3
Estimate the line of best fit using two points on the line.
(5, 60)
(3, 44)
O A. y= 5x + 20
O B. y = -5x + 16
O C. y= -8x + 16
D. y = 8x+ 20
The estimated equation of line is y = 8x+ 20
What is linear equation?
A linear equation is defined as an equation in which the highest power of the variable is always one.
Two points on the line (5, 60), (3, 44)
[tex]y- y_1= \frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
[tex]y- 60 = \frac{60-44}{5-3} (x-5)[/tex]
[tex]y- 60 = \frac{16}{2} (x-5)[/tex]
[tex]y = 8 (x-5)+ 60[/tex]
[tex]y = 8x+ 20[/tex]
Hence, the estimated equation of line is y = 8x+ 20
Learn more about equation of line
brainly.com/question/2263981
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The sixth grade teachers (10 teachers) ordered 2 large pizzas all together for lunch. Each pizza costs 13.75. If they were to split the cost evenly, how much will each person need to pay?
Answer:
they will pay a lot my guy
Answer:
$2.75
Step-by-step explanation:
cost of pizzas
13.75 * 2 = 27.50
Cost per person
27.50/10 = 2.75
Who listens to NF and enjoys his music?
Write a short paragraph about what your favorite song is, what you think it is about and why you like it. I will give brainiest for the best answer.
Good Luck
Paul
Answer:
love his music... absolutely insane
Step-by-step explanation:
my favorite song is paid my dues my nf. One reason why I like it is because I can relate closely to it. it also gives a really chill but dark vibe. I think this song is supposed to be about how the rapper, nf just wants a regular life with regular friends.
Please help me this is my last question
Answer:
x=-22
Step-by-step explanation:
Help me with this please!!!!!!!!!!!!!!
Answer:
sin 60 = opp/hyp = f/(6√2)
f = 6✓2 × sin 60 = 6✓2 × (✓3/2)
= 3✓6
The bowling team at Lincoln High School must choose a president, vice president, and secretary. If the team has 19 members, how many ways could the officers be chosen?
Answer:
Officers can be chosen in 5,814 different ways.
Step-by-step explanation:
Given that the bowling team at Lincoln High School must choose a president, vice president, and secretary, to determine, if the team has 19 members, in how many ways could the officers be chosen, the following calculation must be performed:
19 x 18 x 17 = X
342 x 17 = X
5.814 = X
Therefore, officers can be chosen in 5,814 different ways.
Help me solve this and pls explain
Answer:
Measure of Arc JM = 160°
Step-by-step explanation:
We know that the sum of the measures of the angles within a circle all add up to 360°, so we can say:
(53) + (79) + (68) + (Arc JM) = 360
200 + Arc JM = 360
Arc JM = 360 - 200
Arc JM = 160
Hope this helps!
Answer:
mJM = 360 - (53 + 79 + 68)
mJM = 360 - 200
mJM = 160º
at
If Joe runs the generator a total of 4,000 times, which is the closest to the expected number of times
the integer 4 is produced?
erator
A 152
B 812
C 1,018
D) 1,223
Answer:
c, and is ti joe, you know? JOE MAMA
Step-by-step explanation:
Answer:
it c
Step-by-step explanation:
trust
how many sides does a polygon have if the sum of its interior angle is 2700
Answer: 17 sides
Step-by-step explanation:
I neeed helppp pls anyonneee
Answer:
1/2
Step-by-step explanation:
P.E.=3/6
P.E.=1/2
Pleas mark me as brainliest
Answer:
1/216
Step-by-step explanation:
Hi, the probability of rolling it once is 1/6, twice in a row results in multiplying 1/6 by 1/6.
Therefore, three times means using the formula: (1/6)^3
Which gives us the fraction 1/216
Hope this helps, please give brainliest
yo please help i’ll give u a brainliest
Answer:
4
Step-by-step explanation:
1st: do 2x3=6 so if 1 6in scoop makes one pitcher of tea then you could make about 4 pitchers of tea because there are the volume of the pitcher of tea mix is 24in so 24/6=4
Someone help me pls
the answer is A
5^-8 × 5^4= 5^-8+4
= 5^-4
= 1/5^4
This recipe makes 20 cupcakes. Deepak only wants to make 15 cupcakes. How much of each ingredient does he need? Recipe: Makes 20 cupcakes 10 ounces butter 12 ounces sugar 8 ounces flour 4 eggs
Answer:
9.6 ounces of butter, 8 ounces of sugar, 12 ounces of flour, 4 eggs
Explanation: 20 / 16 = 4/5. 16 is four-fifths of 20. So multiply 4/5 with everything.
12 * 4/5 = 9.6 ounces
10 * 4/5 = 8 ounces
15 * 4/5 = 12 ounces
5 * 4/5 = 4 eggs
hello please help i’ll give brainliest
Answer:
landslide
Step-by-step explanation:
MARK AS BRAINLEST!!!
Answer:
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