Answer:
152 days
Step-by-step explanation:
Given:
w(t) = 15 cos ((2π / 365)t) + 43
To find first time after the hottest day of the year that the water levels is 30 cm, substitute with w(t) = 30 and solve for t
30 = 15 cos ((2π / 365)t) + 43
30 - 43 = 15 cos ((2π / 365)t)
15 cos ((2π / 365)t) = -13
cos ((2π / 365)t) = -13/15
(2π / 365)t = cos⁻¹ (-13/15) = 150.07° ≈ (5/6) π
t = (365/2) * (5/6) ≈ 152 days
So, the first time after the hottest day of the year that the water levels is 30 cm is after 152 days
The water level reaches 30 cm approximately 125.3 days after the hottest day of the year. This was calculated by setting the given equation equal to 30 cm, isolating the variable, and using inverse cosine to solve in terms of radians.
Explanation:The given equation represents a cosine function, w(t) = 15cos(2π / 365)t + 43, which models the water level in a pond. Here, 15 is the amplitude, and 43 is the vertical shift, indicating the average water level is 43 cm. To find the first time after the hottest day of the year that the water level is 30 cm we first set w(t) equal to 30 and solve this for t:
30 = 15cos((2π / 365)t) + 43,
Subtract 43 from both sides to get:
-13 = 15cos((2π / 365)t),
Next, divide both sides by 15 to get:
-13/15 = cos((2π / 365)t),
Now, use the inverse cosine function, or arccos, to solve for the argument (2π / 365)t, which is in radians:
(2π / 365)t = arccos(-13/15).
Thus, t = (365 / 2π) * arccos(-13/15). This equation can be solved using a calculator that provides results in radians. The solution is approximately 125.3 days after the hottest day of the year.
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TV emporium had a huge sale in the morning 5/12 of the flat screens were sold in the afternoon 1/3 of the flat screens were sold how many TV's were sold altogether
Answer:9/12
Step-by-step explanation:
1/3 is the same as 4/12
4/12 +5/12=9/12
Simplify the following polynomial and write the answer in standard form.
(-2x^2 +5x² - 4x+8) - (-2x^2 + 2x - 3)
A. 5x^2 - 6x +11
B. –2x+5+5x^2
C. 4x^3 + 5x^2 - 6x - 11
D. 5x^2 - 6x – 11+4x^3
You paid $600 for a new guitar. Your guitar costs $40 more than twice the cost of your friend's guitar. How much did your friend's guitar cost?
Cost of your guitar = $ 600
Let your friend's guitar's cost be = n
According to the question =
Your guitar costs $ 40 more than twice the cost of your friend's guitar which is n ,but your guitar's cost is $ 600.
So ,the linear equation for this will be =
= 2n+$40 = $600
= 2n = $600-$40
= 2n = $ 560
= n = $ 560/2
= n = $ 280
Thus ,the cost of your friend's guitar is $ 280.The cost of your friend's guitar is $280 by creating an equation based on the cost comparison to your own guitar, and then solving for the variable representing your friend's guitar's cost.
You paid $600 for a new guitar, which costs $40 more than twice the cost of your friend's guitar. To find the cost of your friend's guitar, let's denote the cost of your friend's guitar as x. According to the information given, your guitar's cost can be represented by the equation 2x + $40 = $600. Solving for x will give us the following steps:
Subtract $40 from both sides of the equation: 2x = $600 - $40.
This simplifies to 2x = $560.
Divide both sides by 2: x = $560 / 2.
Therefore, x equals $280.
The cost of your friend's guitar is $280.
Double time pay is twice the regular time pay rate. If Rita, a nurse, earns $24 per hour for her regular pay rate and she is paid double-time for a holiday, what would the equation look like if Rita worked 36 regular hours plus 8 hours holiday?
Answer:24r+48h= $1248
Step-by-step explanation:
24*36+48*8
864 + 384 = 1248
Not sure if it's correct I'm not brilliant with equations xx
Answer:
Correct
24(36) + 24(2) x 8 =
Step-by-step explanation:
A female dust mite is 0.42 millimeter long. How do u write this measurement in scientific notation
Final answer:
The length of the female dust mite, 0.42 millimeters, is written in scientific notation as 4.2 × 10[tex]10^{-1}[/tex]millimeters.
Explanation:
To write the measurement of a female dust mite, which is 0.42 millimeter long, in scientific notation, we first identify the most significant digit and the decimal point. In scientific notation, numbers are typically written in the form of a single digit from 1 to 9, followed by a decimal point and the remaining significant digits, and then multiplied by 10 raised to the appropriate exponent.
The number 0.42 can be written as 4.2 times 10 to the power of negative one (because the decimal point has been moved one place to the right to place it after the first non-zero digit, 4).
So, in scientific notation, the length of a female dust mite is 4.2 × [tex]10^{-1}[/tex] millimeters.
From 2010 to 2015, a group of researchers conducted an experiment using two types of pain medication: pill A and pill B. The researchers gave the doctors the pills in unidentified packages so they would not know which package was pill A and which package was pill B. The patients participating did not know which pill they received either. What is this an example of?
a Group of answer choices
b The effect of a treatment unit
c The placebo effect
d A control group study
e A double-blind study
f Voluntary response bias
Answer:
My best choice would be e
Step-by-step explanation:
The given example is of double blind study.
The correct option is (e).
What is double blind study?A type of clinical trial in which neither the participants nor the researcher knows which treatment or intervention participants are receiving until the clinical trial is over. This makes results of the study less likely to be biased. This means that the results are less likely to be affected by factors that are not related to the treatment or intervention being tested.
Given,
Two medicines A and B.
Both are without label, neither the doctor knows nor the patient can identify the pills.
As per definition above, It is an example of double blind study .
Hence, option (e) is correct.
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Ajar contains "x" black and "y" white balls. What is the probability that a random draw is black?
ху
x/x + y)
ylx
NEXT QUESTION
©
ASK FOR HELP
TURN IT LE
Answer:
Step-by-step explanation:
favorable events=x
total number of events=x+y
P=(favorable events)/(total number of events)=x/(x+y)
Ryan went into town and bought some chicken feed that would last for the next 60 days. If he buys two 50 lbs bags for 5 chickens, how much does each chicken eat a day.
Answer:
3 pounds
Step-by-step explanation:
1. 50 + 50 = 100
2. 100 / 5 = 20
3. 60 / 20 = 3
Each chicken eats approximately 0.3333 pounds of feed per day, which is calculated by dividing the total feed (100 lbs) by the number of days (60) and then by the number of chickens (5).
To calculate how much chicken feed each chicken eats a day, we need to start by understanding the total amount of feed Ryan bought. He bought two 50 lbs bags, which is a total of 100 lbs of chicken feed. Since the feed needs to last 60 days for 5 chickens, we will divide the total feed by the number of days and then by the number of chickens.
First, we convert the weight of the feed into pounds (if it is not already in pounds). We know there are 100 lbs of feed in total.
Next, we divide the total weight of the feed by the number of days to find out how much feed is used per day:
100 lbs / 60 days = 1.6667 lbs per day (for all 5 chickens together).
Finally, we divide the daily feed consumption by the number of chickens to find out how much each chicken eats per day:
1.6667 lbs per day / 5 chickens = 0.3333 lbs per chicken per day.
Therefore, each chicken eats approximately 0.3333 pounds of feed a day.
Assume that y varies inversely with x. If y= 16 when x = 0.5, find y when x = 32.
y=[ ? ]
The constant of variation k for the inverse variation is found to be 8. When x = 32 is substituted into the formula y * x = k, we find that y = 0.25.
Explanation:In problems where y varies inversely with x, it means that their product is constant. This can be represented as y * x = k, where k is the constant of variation. Given that y = 16 when x = 0.5, we can find the constant by plugging these values into the formula. Hence, 16 * 0.5 = k, so k = 8.
Now to find y when x = 32, we substitute these values into the formula. We know that y * 32 = 8, so y = 8 / 32. This simplifies to y = 0.25.
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what is the surface area of a right rectangular prism with a width of 12 inches, a length of 6 inches, and a height of 8 inches?
a) 144 in2
b) 288 in2
c) 432 in2
d) 576 in2
PLEASE HELP IM CRYING RN PLEASE ANSWER CORRECTLY AND YOU WILL GET BRAINLIEST AND 100 POINTS
which is a rule that describes the translation of a point from (-5,4) to (-1,2)
A. (x,y)->(x-4,y-2)
B. (x,y)->(x+4,y-2)
C. (x,y)->(x+4,y+2
D. (x,y)->(x-4,y+2)
Answer: B (x,y) --> (x + 4, y - 2)
Step-by-step explanation: When you add -5+4=-1, and when you subtract 2 from 4 it equals to 2, which gives you the second coordinates, this means that x+4 and y-2 is the answer.
8+24 divide (2x6) - 4
Final answer:
Using the order of operations, first calculate the value within the parentheses, perform the division, then proceed with the addition, and finally subtract to find that the solution to the expression 8+24 ÷ (2×6) - 4 is 6.
Explanation:
To address the problem 8+24 ÷ (2×6) - 4, the correct application of the order of operations, known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), is required.
First, handle the expressions inside the parentheses:
Calculate the value within the parentheses: (2×6) equals 12.Perform the division: 24 ÷ 12 equals 2.Proceed with the addition: 8 + 2 equals 10.Finally, subtract 4 from the result: 10 - 4 equals 6.Therefore, the final answer to the expression is 6.
Randy buys a pair of shoes that were originally
priced at $147. He receives a 35% discount and
pays 8.5% sales tax. How much does Randy pay?
x − 7 = 46 − 9(x + 7)
x =
Answer:
x=-1
Step-by-step explanation:
x − 7 = 46 − 9(x + 7)
distribute
x-7 = 46 - 9x -63
Combine like terms
x-7 = -9x-17
Add 9x to each sid
x-7+9x = -9x+9x -17
10x-7 = -17
Add 7 to each side
10x -7+7 = -17+7
10x = -10
10x/10 = -10/10
x = -1
Answer:
x = -1
Step-by-step explanation:
x − 7 = 46 − 9(x + 7)
x - 53 = -9x - 63
10x = -10
x = -1
Miguel, Sterling, and Kevin plan to split the cost of a round-trip car ride from
Los Angeles, California, to El Paso, Texas, equally. The total cost of the trip
from Los Angeles to El Paso was $1136.79, and they expect that the trip back
to will cost the same. How much will Kevin have to pay for the round-trip?
©
__
A. $505.21
B. $757.86
c. $82452
D. $623.54
O
Kevin has to pay $757.86 for the round trip.
A cost function is a mathematical formula used to chart how production expenses will change at different output levels.
How find how much will Kevin have to pay for the round-trip?
Given Miguel, Sterling, and Kevin plan to split the cost of a round-trip car ride from Los Angeles, California, to El Paso, Texas, equally. The total cost of the trip from Los Angeles to El Paso was $1136.79, and they expect that the trip back will cost the same.
It’s B because 1136.79 x 2 is 2273.58.
2273.58/3 because there are three people splitting the ticket is 757.86.
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To solve the trigonometric inequality sin?(x) -0.85, Carl graphed the equations y=sin(x) and y=-0.85. Shelly, on the other
hand, took the cube root of both sides of the inequality so that it became sin(x) = -0.85, and she then graphed the equations
y = sin(x) and y -0.85. Which of the following statements is true regarding the points of intersection of Carl's graph and
Shelly's graph?
A The points of intersection of Carl's graph have different x-coordinates than the points of intersection of Shelly's graph and
different y-coordinates.
B The points of intersection of Carl's graph have different x-coordinates than the points of intersection of Shelly's graph but the
same y-coordinates.
C The points of intersection of Carl's graph have the same x-coordinates as the points of intersection of Shelly's graph but
different y-coordinates.
D The points of intersection of Carl's graph have the same x-coordinates as the points of intersection of Shelly's graph and the
same y-coordinates.
Answer: C
Step-by-step explanation:
The points of intersection of Carl’s graph have the same x-coordinates as the points of intersection of Shelly’s graph but different y-coordinates.
Trigonometric expressions can be represented using inequalities
The true statement is (c) the points of intersection of Carl’s graph have the same x-coordinates as the points of intersection of Shelly’s graph but different y-coordinates.
The inequality is given as:
[tex]\mathbf{sin^3(x) < -0.85}[/tex]
The steps Carl took will give the following coordinates (x, y^3)
The steps Shelly took will give the following coordinates (x, y)
This means that, their results will have the same x-coordinates but different y-coordinates.
Hence, the true option is (c)
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The graph of an ellipse is shown.
Which equation represents this ellipse?PLEASE HELP IF RIGHT MARK BRAINIEST
Answer:
D. (y-4)^2/12^2 + (x-2)^2/6^2=1
Step-by-step explanation:
Took the quiz.
Answer:
d
Step-by-step explanation:
There is a bag filled with 3 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting at least 1 red?
Answer:
1/7
Step-by-step explanation:
i learned this arealdy
The probability of drawing at least one red marble from a bag containing 3 blue and 5 red marbles in two draws without replacement is 19/28.
To find the probability of drawing at least one red marble from a bag with 3 blue and 5 red marbles, with one draw already taken, we calculate the probability of not drawing a red marble and subtract that from 1. Since there are more red than blue marbles, the probability of drawing a red one on the first draw is higher. However, the problem states that the marbles are not replaced after drawing, so the probabilities change with every draw.
There are two ways to not draw a red marble in two draws:
First draw: blue, Second draw: blue.
First draw: red, Second draw: blue.
Let's calculate these probabilities. For the first case, there's a 3/8 chance of drawing blue first, and then 2/7 chance of drawing blue again, since one blue marble has been removed, which equals to 3/8 * 2/7 = 6/56 or 3/28. For the second case, there is a 5/8 chance of drawing red first, and then a 3/7 chance of drawing blue, equalling 5/8 * 3/7 = 15/56. The sum of these probabilities is 3/28 + 15/56 = 9/28.
Therefore, to find the probability of at least one red, we subtract the summed probabilities from 1: 1 - 9/28 = 19/28.
Thus, the probability of drawing at least one red marble is 19/28.
Jim’s family is choosing whether to go to a restaurant for lunch or for dinner. The cost of a salad is $7 at lunch and $9 at dinner. The cost of a steak is $10 at lunch and $12 at dinner. Each person will choose either a salad or a steak regardless of the mealtime. Jim calculates the food bill to be $41 if they go during lunch and $51 if they go during dinner. How many people will choose a salad?
2
3
4
5
Answer:
To answer the problem above we let x be the number of people who prefers salad and y be the number of people who chose steak. For lunch they will be spending $41. That is,
7x + 10y = 41
Now, for dinner they will be spending $51. That is,
9x + 12y = 51
The values of x and y from both equations are 3 and 2, respectively. Therefore, 3 people will choose a salad
Answer:
3
Step-by-step explanation:
:) It's 3.
If two pyramids have the same height, what must be true of the pyramids for them to also have the same volume?
The pyramids must have the same base shape.
The pyramids must have the same slant height.
The areas of the bases must be the same.
The pyramids must be identical in size and shape.
Answer:
areas of bases must be same as Vol=area of base×h/3
Answer:
The areas of the bases must be the same. yw
Step-by-step explanation:
solve the system of equations
12x-5y=-20
y=x+4
x=_______
y=_______
Answer:
x = 0
y = 4
Step-by-step explanation:
Given
12x - 5y = -20
y = x + 4
Substitute x + 4 for y in the first equation
12x - 5(x + 4) = -20
Expand the bracket
12x -5 X x - 5 x 4 = -20
12x - 5x - 20 = -20
7x - 20 = -20
Add 20 to both sides to eliminate -20 on the left side
7x - 20 + 20 = -20 + 20
7x = 0
Divide both sides by 7 to isolate x
7x/7 = 0/7
x = 0
Substitute 0 for x in either equation to get y
Using equation 2, we have
y = x + 4
= 0 + 4
= 4
x = 0
y = 4
A delivery company pays its drivers a fixed fee for each delivery made that day. The company deducts a daily fee for the use of the company's delivery truck. The drivers net pay in dollars, p, for one day is given by the equation p = 11d − 55, where d is the number of delivers made in one day. What does the number 11 most likely represent?
Answer:
11 must be the fee for each delivery made
Step-by-step explanation:
p = 11d − 55
The y deduct the daily fee
deduct means subtract which means the daily fee is 55
d is the number of deliveries in one day
delivery company pays its drivers a fixed fee for each delivery made
Since d is the number of delivers, 11 must be the fee for each delivery made
Answer:
fee paid per delivery
Step-by-step explanation:
Express 22,575 square millimeters as square meters
Answer:
0.02257500m²
Step-by-step explanation:
Can someone pls help w both of them for 20 pts
Can someone please help? I need help ASAP
Answer:
A) x + y = - .7
B) -3x + y = 11.7
We'll multiply A) by 3
A) 3x + 3y = -2.1 the add it to B)
B) -3x + y = 11.7
4 Y = 9.6
Y = 9.6 / 4 = 2.4
-3x + (9.6 / 4) = 11.7
-3x = 9.3
x = -3.1
Step-by-step explanation:
Find the measures of the numbered angles in the kite? (image below please help)
answer
1, 2, 3, 4 = 90 degrees
5 = 41 degrees
6 = 39 degrees
7, 9 = 51 degrees
8, 10 = 49 degrees
step-by-step explanation
since this is a kite, the lengths p and q (the diagonals of the kite) are perpendicular to each other, so angles 1, 2, 3, and 4 are all 90 degrees
to find angle 5, we know that the kite is symmetric across the horizontal diagonal, so angle 5 would be the same as 41 degrees
to find angle 6, we also look at symmetry, so angle 6 is the same of 39 degrees
to find angle 7, all three angles in a triangle, bottom left, must add up to 180. since we know angle 3 = 90 and angle 6 = 39, angle 7 = 180 - 90 - 39 = 51 degrees
because of symmetry, angle 9 would be equal to angle 7 = 51 degrees
to find angle 8, all three angles in a triangle, bottom right, must add up to 180. since we know angle 4 = 90 and angle 5 = 41, angle 8 = 180 - 90 - 41 = 49
because of symmetry, angle 10 would be equal to angle 8 = 49
Alvin has a prism-like water tank whose base area is 0.90 square meters and height is 0.6 meters. He wants to buy guppy fish, and the pet store owner tells him to make sure their density in the tank isn't more than 5 fish per cubic meter. How many fish can Alvin get, at most?
Answer:
2 fish
Step-by-step explanation:
Which dot plot is symmetric? Number of Correct Answers on the Quiz A dot plot going from 0 to 5. 0 has 3 dots, 1 has 6 dots, 2 has 8 dots, 3 has 8 dots, 4 has 6 dots, and 5 has 3 dots. Number of Correct Answers on the Quiz A dot plot going from 0 to 5. 0 has 2 dots, 1 has 4 dots, 2 has 8 dots, 3 has 8 dots, 4 has 2 dots, 5 has 4 dots. Number of Correct Answers on the Quiz A dot plot going from 0 to 5. 0 has 8 dots, 1 has 7 dots, 2 has 6 dots, 3 has 5 dots, 4 has 4 dots, and 5 has 3 dots. Number of Correct Answers on the Quiz A dot plot going from 0 to 5. 0 has 1 dot, 1 has 3 dots, 2 has 4 dots, 3 has 7 dots, 4 has 8 dots, 5 has 5 dots.
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
What is the volume of the following rectangular prism?
4 units
Volume =
I units
Answer:
sorry i dont quite understand, were you given more information
Step-by-step explanation:
The required volume of the rectangular prism is unknown and cannot be determined based on the given information.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
The volume of a rectangular prism is given by the formula:
Volume = length x width x height
In this case, we are given that the length and width of the rectangular prism are 4 units, but we don't have any information about the height. So, we cannot determine the volume of the rectangular prism without knowing its height.
Therefore, the volume of the rectangular prism is unknown and cannot be determined based on the given information.
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in polar coordinates, the axis determined by theta =0 is called the ____ axis.
Answer:
The answer is polar.
Step-by-step explanation:
I just finished the quiz