Answer:
In most cases u are either given the value of "t" or the question would be written this way: y=sin20t where as, when comparing we would get the exact value of T(period) at the end
The equations represent the heights, y, of the flowers, in inches, after x days. Which ordered pair, (1, 2. 7), (1, 2. 4), or (0, 2), is a solution to the system? will the flowers ever be the same height? explain
The ordered pair (1, 2.7) is a solution to y = 0.7x + 2. The flowers may or may not reach the same height.
The main condition y = 0.7x + 2 addresses the level of blossoms after x days in the event that they develop at a pace of 0.7 inches each day and begin at a level of 2 inches. The second condition y = 0.4x + 2 addresses the level of blossoms after x days on the off chance that they develop at a pace of 0.4 inches each day and begin at a level of 2 inches.
To check which requested pair is an answer for the framework, we really want to substitute the x and y values from each arranged pair into the two conditions. Just (0, 2) is an answer, as it fulfills the two conditions. (1, 2.7) and (1, 2.4) don't fulfill the two conditions.
The blossoms won't ever arrive at a similar level since they are developing at various rates. The pace of development of the principal condition (0.7 inches each day) is quicker than the pace of development of the subsequent condition (0.4 inches each day).
The y-catch of every situation addresses the beginning level of the blossoms, which is 2 creeps in the two cases. This truly intends that at day zero (x = 0), the level of the blossoms is 2 creeps for the two conditions. As the worth of x builds, the level of the blossoms will increment at various rates in light of the development rate in every situation.
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The complete question is:
Which ordered pair (1, 2.7), (1, 2.4), or (0, 2) is a solution to the system of equations y = 0.7x + 2 and y = 0.4x + 2, which represent the heights of flowers in inches after x days? Will the flowers ever reach the same height? What does the y-intercept of y = 0.7x + 2 and y = 0.4x + 2 represent in terms of the flowers?
solve the inequality 1/2y>5
Answer:
y > 10
Step-by-step explanation:
1/2y>5
Multiply each side by 2
2* 1/2y>5*2
y > 10
Answer:
y > 10
Step-by-step explanation:
Inequality:
1/2y>5
We need to isolate the variable y.
Since it is being multiplied by 1/2, we need to multiply by the reciprocal, or opposite, on both sides. The reciprocal of 1/2 is 2. (Check by multiplying both numbers and making sure the product is 1.)
Multiply:
1/2y>5
x2 x2
y > 10
Therefore, the simplified inequality is y > 10.
Find an equation for the hyperbola with foci (0,±5) and with asymptotes y=± 3/4 x.
The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:
y^2 / 25 - x^2 / a^2 = 1
where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.
Thus, the equation for the hyperbola is:
y^2 / 25 - x^2 / (400/9) = 1
or
9y^2 - 400x^2 = 900
The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.
To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.
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Use coordinate of the labeled point to find a point slope equation of the line (2,-1)
Answer:
the slope would be (2,1) because thats how far from 0 those 2 numbers are
Step-by-step explanation:
Answer:
y = 2 x - 5
Step-by-step explanation:
Find five rational numbers between -1/2 and 4/7
The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.
According to the statement
we have to find that the rational numbers.
So, For this purpose, we know that the
Rational number, a number that can be represented as the quotient p/q of two integers such that q ≠ 0.
From the given information:
The given numbers are between -1/2 and 4/7
Then to find the numbers then
Rational numbers = (-1/2 +4/7) /2
Rational numbers = (-1 +2/7)
Rational numbers = -5/7.
And then the number becomes -6/7, 2/7,3/7.
Now, The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.
So, The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.
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Combine Like Terms:
4y + 3x3 + 2y + 8x3 - 6y
Answer:
11x^3
Step-by-step explanation:
4y + 3x^3 + 2y + 8x^3 - 6y
Combine like terms
4y+2y-6y+3x^3+8x^3
6y-6y +11x^3
11x^3
Answer:
11x³
Step-by-step explanation:
4y + 3x³ + 2y + 8x³ - 6y
3x³ + 2y + 4y + 8x³ - 6y
3x³ + 8x³ + 6y - 6y
3x³ + 8x³
11x³
Pls help :) Convert 74.8% to a fraction in simplest form and a decimal.
Answer:
Decimal: 0.748, Fraction 374/5 or 74 4/5
Step-by-step explanation:
Answer:
The answer is 374/5
Step-by-step explanation:
Ehdfsbsbdhusgdbrvdhshdv I am putting letter do not pay attention to it
James fenced in his backyard. the perimeter of his fence is 20 feet, and the width of his yard is 2 feet wide. use the perimeter formula to find the length of his rectangular yard in inches: p = 2l 2w. (1 foot = 12 inches) 8 in. 18 in. 72 in. 96 in.
The length of James' rectangular yard is 96 inches. To find the length of James' rectangular yard in inches, we need to use the perimeter formula, which is given as p = 2l + 2w. In this case, the perimeter is 20 feet.
Since 1 foot is equal to 12 inches, we can convert the perimeter to inches: 20 feet * 12 inches/foot = 240 inches.
We also know that the width of the yard is 2 feet, so we can convert it to inches: 2 feet * 12 inches/foot = 24 inches.
Now, we can substitute the values into the perimeter formula: 240 inches = 2l + 2 * 24 inches.
Simplifying the equation: 240 inches = 2l + 48 inches.
Subtracting 48 inches from both sides: 192 inches = 2l.
Dividing both sides by 2: 96 inches = l.
Therefore, the length of James' rectangular yard is 96 inches.
The length of James' rectangular yard is 96 inches.
To find the length of James' rectangular yard in inches, we can use the perimeter formula, which is given as p = 2l + 2w. In this case, the perimeter of his fence is 20 feet.
To convert the perimeter to inches, we need to multiply it by the conversion factor of 12 inches per foot.
So, 20 feet * 12 inches/foot = 240 inches. Next, we can find the width of the yard, which is given as 2 feet.
Again, we can convert it to inches by multiplying by 12 inches per foot: 2 feet * 12 inches/foot = 24 inches.
Now, we can substitute the values into the perimeter formula: 240 inches = 2l + 2 * 24 inches.
Simplifying the equation gives us 240 inches = 2l + 48 inches. To isolate the variable, we subtract 48 inches from both sides: 192 inches = 2l.
Finally, dividing both sides by 2 gives us the length of James' rectangular yard in inches: 96 inches.
Therefore, the length of James' rectangular yard is 96 inches.
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Please help! Will give brainliest!!
Always use 2 decimals and only enter the number as your answer. No unit!
It took a person 6 minutes to walk from point A to point B which is 150m apart, then 5.5 minutes from the far end (point B) back to the starting point. Let's assume the direction from A to B is Positive (+).
1. This person's round trip average speed was _____ m/s.
2. This person's average velocity from point A to point B was _____ m/s.
3. This person's average velocity from point B back to point A was ____ m/s.
4. This person's average round trip velocity was ______ m/s.
5. The total "displacement" for the round trip was _____ m.
Answer:
1. .43 m/s or 26.08 meters per min
5. The total displacement is 0
Step-by-step explanation:
5. Sherman bought 17
items at the dollar store,
and used a coupon for a
discount. If his total after
the coupon was $16.15,
what percent discount did
he get?
Answer:
Step-by-step explanation: if you subtract 17 from 16.15 you will get your answer of 0.85 so if you turn that to a percentage you will get .00085
What conic section is represented by x^2 + 4xy + 4y^2 + 2x = 10?
Answer: 160
Step-by-step explanation:
12+37+78
two different integers from $1$ through $20$ inclusive are chosen at random. what is the probability that both numbers are prime? express your answer as a common fraction.
The probability that both numbers are prime is 0.16
What is probability ?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
Have given,
Total integers(S) = {1,2,3,4,5,.......,20} , n = 20
Prime integers(E) = {2,3,5,7,11,13,17,19} , n = 8
If two different integers are chosen at random,
Then probability of prime integers P(E) = \(\frac{n(S)}{n(E)} *\frac{n(S)}{n(E)}\)
⇒\(\frac{8}{20} *\frac{8}{20}\)
⇒\(\frac{64}{400}\)
⇒ 0.16
Hence , The probability that both numbers are prime is 0.16
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An ordinary deck of cards contains 52 cards divided into four suits. The red suits are diamonds (Ⓡ) and hearts (), and the black suits are clubs (%) and spades (~). Each suit contains 13 cards of the following denominations: 2, 3, 4, 5, 6, 7, 8, 9, 10, J (jack), Q (queen), K (king), and A (ace). The cards J, Q, and K are called face cards. Imagine choosing a card at random from a thoroughly mixed deck. Consider the event that the chosen card is red and has an even number on it. Which of the following expresses this event as a set? {2, 4, 6, 8, 100, 2, 4, 6, 8, 10•} {2, 40, 60, 80, 2, 4, 6, 8•} {24, 4a, 6A, 8A, 10A, 24, 44, 64, 84, 104} 24, 44, 6A, 8A, 104, 2, 4, 6, 8, 10v} {24, 44, 6A, 8A, 104, 24, 44, 64, 84, 104, 2, 4, 6, 8, 100, 2, 4, 6, 8, 10} What is the probability of this event?
The probability of this event is 3/13. The event described is choosing a red card with an even number from a deck. To express this event as a set, we will include all even-numbered cards from the red suits (diamonds and hearts). This set is: {2♦, 4♦, 6♦, 8♦, 10♦, 2♥, 4♥, 6♥, 8♥, 10♥}.
Now let's find the probability of this event. There are 52 cards in the deck and 10 cards in the event set. Therefore, the probability is:
P(event) = (number of favorable outcomes) / (total number of outcomes) = 10 / 52 = 5 / 26 ≈ 0.1923
The probability of choosing a red card with an even number from a deck is approximately 0.1923 or 19.23%.
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thank you guys for helping me :) :)
Answer:
The second one is right
Step-by-step explanation:
Hope it helpssss
MULTIPLE CHOICE!!
If P = (-2, 2), Q = (3, 4),
R = (-2, 5) and S = (2, -8)
Find the exact magnitude of vector:
2QS
A. √145
C. 2√26
B. 3√2
D. 2 145
The answer is A. √145.
What is magnitude of vector?
The length of a vector determines its magnitude. The letter |a| stands for the vector's magnitude.
The vector 2QS is obtained by multiplying the vector QS by 2. The magnitude of a vector (a, b) is given by the formula √(a² + b²). So we need to find the vector QS and then multiply its magnitude by 2.
The vector QS can be obtained by subtracting the coordinates of Q from the coordinates of S:
QS = (2 - 3, -8 - 4) = (-1, -12)
The magnitude of QS is:
|QS| = √((-1)² + (-12)²) = √(1 + 144) = √145
So the magnitude of 2QS is:
|2QS| = 2|QS| = 2√145
Therefore, the answer is A. √145.
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Choose the best answer. A Harris Poll found that 54% of American adults don't think that human beings developed from earlier species. The poll's margin of error for 95% confidence was 3%. This means that (a) there is a 95% chance that the interval (51%, 57%) contains the true percent of American adults who do not think that human beings developed from earlier species. (b) the poll used a method that provides an estimate within 3% of the truth about the population 95% of the time. (c) if Harris takes another poll using the same method, the results of the second poll will lie between 51% and 57%. (d) there is a 3% chance that the interval is correct. (e) the poll used a method that would result in an interval that contains 54% in 95% of all possible samples of the same size from this population.
The correct answer is (a) there is a 95% chance that the interval (51%, 57%) contains the true percent of American adults who do not think that human beings developed from earlier species.
The margin of error, stated as 3% in the Harris Poll, is associated with a 95% confidence level. This means that in repeated sampling, 95% of the confidence intervals generated would contain the true proportion of American adults who do not believe in human evolution. Therefore, answer (a) is the correct interpretation of the margin of error.
Answer (b) is incorrect because the margin of error does not imply that the poll's estimate will be within 3% of the true proportion in 95% of cases. The margin of error only pertains to the width of the confidence interval, not the individual estimates.
Answer (c) is also incorrect because the margin of error only applies to the specific poll conducted and does not guarantee that the results of a future poll would fall within the same range.
Answer (d) is incorrect because the margin of error does not indicate the probability of the interval being correct. It is associated with the level of confidence, not the probability of correctness.
Answer (e) is incorrect because the margin of error does not ensure that 95% of all possible samples would contain the true proportion. It only provides a measure of uncertainty for the specific sample taken.
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What is the missing number in the synthetic division problem below? NEED HELP FAST!
Answer:
9
Step-by-step explanation:
3 + 0 = 3
-2 + 6 = 4
2 + 18 = 20
From this:
1 + 8 = 9
Answer:
A.9
Step-by-step explanation:
✓3 + 0 = 3
✓ -2 + 6 = 4
✓ 1 + 8 = 9
✓ 2 + 18 = 20 beacuse of this the answer is 9
Find the value and 1 dollar will be yours
Answer:
it's 70°
Step-by-step explanation:
the opposite sides are equal, so it's 70°
The angle measures of a triangle are shown in the diagram
what is the value of x?
pls hurry its due soon
Answer: Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.
Step-by-step explanation: To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Pls help
Answer choices for the second drop down are...
(0,0)
(0,2)
(2,-20)
(-2,0)
Write the 12th term of the sequence ()=5−2
Answer:
(3)=5-2
Step-by-step explanation:
5=2+3 or 5=3+2.
The left and right page numbers of an open book are two consecutive integers whose sum is 331 Find these page numbers.
Answer:
165 and 166
Step-by-step explanation:
You can divide 331 by 2 to get 165.5. You then round down for one answer, 165, and round up for the other, 166. This evens out the rounding, and to check your answer you can add 165 and 166, which is 331.
Suppose a company wants to introduce a new machine that will produce a marginal annual savings in dollars given by S '(x)= 175 - x^2, where x is the number of years of operation of the machine, while producing marginal annual costs in dollars of C'(x) = x^2 +11x. a. To maximize its net savings, for how many years should the company use this new machine? b. What are the net savings during the first year of use of the machine? c. What are the net savings over the period determined in part a?
a) To maximize its net savings, the company should use the new machine for 7 years. b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar). c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).
Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.
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Effect of Price on Supply of Eggs Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars/carton) is related to the weekly supply x (in thousands of cartons) by the following equation. 625p2 − x2 =100
If 37000 cartons of eggs are available at the beginning of a certain week and the price is falling at the rate of 7¢/carton/week, at what rate is the supply changing? (Round your answer to the nearest whole number. ) (Hint: To find the value of p when x = 37, solve the supply equation for p when x = 37. )
The supply of average eggs is decreasing at a rate of approximately -550 cartons per week as the price decreases 7 cents per carton per week.
The equation given states that the weekly supply x (in thousands of cartons) of a certain brand of medium-sized eggs is related to the wholesale price p (in dollars/carton) by the following equation: 625p2 − x2 =100. In order to determine the rate at which the supply is changing, we must first calculate the value of p when x = 37,000, which is the number of cartons available at the beginning of the week. To do this, we can solve the equation for p when x = 37,000\(p = (100 + x2)1/2/625\). When x=37,000, p=3.65. Therefore, if the price is falling at the rate of 7¢/carton/week, then the new price p = 3.65 - 0.07 = 3.58. When we plug this new value of p into the supply equation, we get\(x^2\) = 4,225. Taking the square root of both sides gives us x = 65. Therefore, the supply is decreasing at a rate of approximately -550 cartons per week as the price decreases 7 cents per carton per week.
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As captain of the cheer team Lily is choreographing a routine for a competition. The minimum allowable length for a routine is 3 minutes and the maximum allowable length for a routine is 5 minutes. Write an absolute value for which the two solutions are the minimum and maximum allowable lengths.
Lily, the cheer team's captain, is putting together a performance for a tournament. A routine may be no less than 3 minutes in length and no more than 5 minutes in total. For which the two solutions are the shortest and longest permitted lengths, write an absolute value.
The absolute value for 3 is 3 .
The absolute value for 5 is 5.
The two solutions are the shortest and longest permitted lengths, The absolute value |2x−5|+|2x−3|=2
Absolute value is the non-negative value of a real number x, independent of its sign, is its absolute value (or modulus), | x |.
For example, 5 has an absolute value of 5, and -5 has a value of 5. Another way to think about a number's absolute value is as its distance from zero on the real number line. In addition, the distance between two real numbers is the absolute value of their difference.
Given that,
A routine may be no less than 3 minutes in length and no more than 5 minutes in total.
By absolute value equation
we can get 2x−5|+|2x−3|=m
By solving we get 2 m values they are,
m={-8,2}
Here, -8 we can take but the answer will be in decimal soo we take 2.
|2x−5|+|2x−3|=2
We get
\(|4x-8|=2\\|x-2|=1\\|x|=3\\\)
If we take 2x =y
|y−5|+|y−3|=2
\(|2y-8|=2\\|y-4|=1\\|y|=5\)
Therefore,
The absolute value for 3 is 3 .
The absolute value for 5 is 5.
The two solutions are the shortest and longest permitted lengths, The absolute value |2x−5|+|2x−3|=2.
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a punch recipe calls for 3 parts orange juice to 2 parts pineapple juice. complete the table to show the relationship between the amounts of orange juice and pineapple juice in the punch recipe.
Answer:
1.5
Step-by-step explanation:
1- Formulate
3/2
2- Evaluate
1.5
Two angles of a triangle measure 45 degrees and 90 degrees. What is the third angle measure?
A 30 degrees B 45 degrees
C 90 degrees
Answer:
B) 45
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
45 + 90 = 135
180 - 135 =
45
If you place a 32-foot ladder against the top of a building and the bottom of the ladder is 24 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.
Answer: 21.2
Step-by-step explanation:
Answer: 22.2
Step-by-step explanation: the other person miss typed
Sorry before it didn't came
Answer:
220
Step-by-step explanation:
If we take 20 common (as in we can take it out and group the rest) , we can say 20 (15 7/9-4 7/9) which is equal to 20 (11). 20x11 = 220.
A square with an area of 100 cm2 is inscribed in a circle as shown below. Calculate the area of the shaded region.
The area of the shaded region is 21.5 square centimeter.
Given that, a square with an area of 100 cm² is inscribed in a circle.
We know that, area of a square is a².
Here, a²=100
a=10 cm
So, diameter of circle = 10 cm
Radius of a circle = 5 cm
We know that, area of a circle = πra²
= 3.14×5²
= 3.14×25
= 78.5 square centimeter
Now, area of shaded area = 100-78.5
= 21.5 square centimeter
Therefore, the area of the shaded region is 21.5 square centimeter.
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