By using Algebraic methods It will take 5 seconds for the rock to hit the ground when dropped from a building that is 64 feet tall, given the equation y = -16t^2 + 400.
The equation is y = -16t^2 + 400, where y represents the height of the rock in feet and t represents the time in seconds.
To find out how many seconds it will take for the rock to hit the ground, we need to set the equation equal to zero because the ground is at a height of zero.
0 = -16t^2 + 400
Now, we can solve for t using Algebraic methods.
First, we can subtract 400 from both sides of the equation:
-400 = -16t^2
Next, we can divide both sides by -16:
25 = t^2
Finally, we can take the square root of both sides:
t = ±5
Since we can't have negative time, we know that it will take 5 seconds for the rock to hit the ground.
So, to summarize, it will take 5 seconds for the rock to hit the ground when dropped from a building that is 64 feet tall, given the equation y = -16t^2 + 400.
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PLSSSS HELP IF YOU TRULY KNOW THISSS
1a. Write a polynomial that represents the length of the north side of the house
1b. Simplify the expression. Show all work.
2- 32. 2. Your cousin said the length of the north side of the house is 9y+2y"
a. Is he correct?
b. Explain in detail how you know if your cousin is correct or not correct?
Answer:
1a. Let’s assume that the length of the north side of the house is represented by ‘x’. Then the polynomial that represents the length of the north side of the house is x.
1b. There is no expression to simplify.
2a. Your cousin is not correct.
2b. The length of the north side of the house is represented by ‘x’ and not by ‘9y+2y’. Therefore, your cousin is not correct.
The polynomial stated by the cousin as the length of the north side of the house, 9y + 2y, simplifies to 11y. Thus, the cousin is not correct. Polynomials and simplifying expressions are part of basic algebra skills.
Explanation:Based on your cousin's statement, the polynomial representing the length of the north side of the house is 9y + 2y. To determine the correctness of this polynomial, we must first simplify the expression. By combining like terms (terms with the same variable and exponent), the expression simplifies to 11y. So, the length of the north side is represented by 11y, not 9y + 2y. Hence, your cousin's statement is not correct.
Understanding how to combine like terms, simplify expressions, and handle polynomials is an important part of basic algebra skills. Polynomials can be used to represent many real world quantities such as the length of a side of a house as in this problem. Remember that it is crucial to perform all calculations accurately to avoid errors.
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A bowling alley charges $14 for the first game, $10 for the second game, and $5 per game for every game after that. Which statement is true, based on the given description?
O The description shows a linear relationship and a proportional relationship.
O The description does not show a linear relationship or a proportional relationship. O The description shows a proportional relationship, but not a linear relationship.
O The description shows a linear relationship, but not a proportional relationship.
Answer:
THE CORRECT ANSWER IS C. "The description does not show a linear relationship or a proportional relationship."
Step-by-step explanation:
THIS IS DUE NOW!!!!!!!!!!!!!!
Answer:
This graph is a negative linear association. C is the correct answer.
during a national debate on changes to health care, a cable news service performs an opinion poll of 570 small-business owners. it shows that 72% of small-business owners do not approve of the changes. a. compute the 90% confidence interval for the population proportion of small-business owners who do not approve of the changes (round your answers to 3 decimal places.)
The 90% confidence interval suggests that we are 90% confident the proportion of disapproving small-business owners is between 69.2% and 74.8%.
To compute the 90% confidence interval for the population proportion of small-business owners who do not approve of the changes, we can use the sample proportion and the properties of confidence intervals.
Given that the sample size is 570 and the sample proportion is 72%, we can calculate the standard error using the formula:
Standard Error = [tex]sqrt((p * (1 - p)) / n)[/tex]
where p is the sample proportion and n is the sample size.
Substituting the values, we get:
Standard Error = [tex]sqrt((0.72 * (1 - 0.72)) / 570)[/tex] ≈ 0.017
Next, we can calculate the margin of error by multiplying the standard error by the appropriate z-score for a 90% confidence level. For a 90% confidence level, the z-score is approximately 1.645.
Margin of Error = z * Standard Error = 1.645 * 0.017 ≈ 0.028
Finally, we can construct the confidence interval by subtracting and adding the margin of error from the sample proportion:
Confidence Interval = Sample Proportion ± Margin of Error
Confidence Interval = 0.72 ± 0.028
Therefore, the 90% confidence interval for the population proportion of small-business owners who do not approve of the changes is approximately 0.692 to 0.748 (rounded to 3 decimal places). This means we can be 90% confident that the true proportion of small-business owners who do not approve of the changes lies between 69.2% and 74.8%.
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PLEASE ANSWER THIS QUICKLY RIGHT ANSWERS ONLY 50 POINTS!!!
Determine this period
Answer:a
Step-by-step explanation:s
The symbol x¯ represents the population mean of all possible sample means of size n.
False
True
False. The symbol x¯ represents the population mean of all possible sample means of size n.
The symbol x¯ (x-bar) represents the sample mean, not the population mean of all possible sample means of size n. The population mean of all possible sample means of size n is denoted by μ (mu). The sample mean, x¯, is calculated by taking the average of the observations in a specific sample.
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The probability of selecting a P on the first draw and a V on the second draw is
The probability of selecting a P on the first draw and a V on the second draw is 2/4950
Calculating probabilityFrom the question, we are to determine the probability of selecting a P on the first draw and a V on the second draw.
From the formula for probability, we have that
P(A) = Number of favorable outcomes to A / Total number of possible outcomes
From the given tiles,
Number of favorable outcomes to P = 2
Total number of possible outcomes = 100
Thus,
Probability of selecting a P on the first draw = 2/100
On the second draw
Number of favorable outcomes to V = 2
Total number of possible outcomes = 99
Thus,
Probability of selecting a V on the second draw = 2/99
Now,
The probability of selecting a P on the first draw and a V on the second draw is
P(1st P and 2nd V) = 2/100 × 2/99
P(1st P and 2nd V) = 1/50 × 2/99
P(1st P and 2nd V) = 2/4950
Hence, the probability is 2/4950
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Which postulate proves these two
triangles are congruent?
A. None, not congruent
C. HL
B. SAS
D. ASA
None of the postulates given can prove that the two triangles are congruent.
What is the Side-side-angle (SSA) Congruence Theorem?According to the Side-side-angle (SSA) Congruence Theorem, if two triangles have two corresponding sides and a non-included sides that are congruent, then both triangles are congruent to each other.
In the image given, the information in the diagram shows that both triangles have two pairs of corresponding sides that are congruent and a pair of non-included sides that are congruent, therefore, they are congruent based on the SSA congruence theorem.
None of the options given proves that the triangles are congruent.
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which of these is a non real complex number ?
The Doppler formula for the frequency detected can be written f = f’ (v - vD) / (v - vS), where f’ is the frequency emitted, v is the speed of sound, vD and vs are suitable components of the detector and source velocities. (vD and vs can be of either sign depending on the direction of the motion relative to the S-D axis.) Suppose the source is traveling at 5 m/s away from the detector, the detector is traveling at 7 m/s toward the source, and there is a 3 m/s wind blowing from the source toward the detector. The values that should be substituted into the Doppler shift equation are (in m/s):
a. vD = 10 vs = 2 b. vD = -7 vs = -5 c. vD = -7 vs = 5 d. vD = 4 vs = 2 e. vD = -10 vs = -8
Answer:
he correct answer is c. vD = -7 vs = 5.
The Doppler shift equation is:
f = f' (v - vD) / (v - vS)
Where:
f is the frequency detected
f' is the frequency emitted
v is the speed of sound
vD is the velocity of the detector
vs is the velocity of the source
In this case, the source is traveling at 5 m/s away from the detector, the detector is traveling at 7 m/s toward the source, and there is a 3 m/s wind blowing from the source toward the detector.
The velocity of the detector is negative because it is moving towards the source. The velocity of the source is positive because it is moving away from the detector.
Therefore, the values that should be substituted into the Doppler shift equation are:
vD = -7
vs = 5
Step-by-step explanation:
Which one of the following statistics indicates how much scores differ from each other? A) Mean B) Median C) Standard deviation D) Central tendency
The statistic that indicates how much scores differ from each other is Standard deviation.
What is Standard deviation?Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
How to calculate Standard deviation?To calculate the standard deviation, you must first calculate the mean of the data set. This is done by adding up all the values in the data set and dividing by the number of values. Once you have the mean, you must subtract it from each value in the data set and square the result.
Then, you must add up all of the squared values, divide by the total number of values, and take the square root of that number. The result is the standard deviation.
Standard deviation is important because it can be used to compare the data to its mean and can help determine the amount of risk associated with a particular data set. Standard deviation is a measure of how spread out a data set is from its mean or average. It is used to measure the amount of variability or dispersion for a given data set.
Thus, The statistic that indicates how much scores differ from each other is Standard deviation.
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Answer: C
Step-by-step explanation:
The standard deviation measures the amount of variation or dispersion of a set of scores from the mean. Therefore, the correct answer is C.
Suppose Aaron is going to build a playlist that contains 13 songs. In how many ways can Aaron arrange the 13 songs on the​ playlist?
There are 6,227,020,800 ways in which Aaron can arrange the 13 songs on the playlist.
To determine the number of ways Aaron can arrange the 13 songs on the playlist, we can use the concept of permutations. Since the order of the songs matters (i.e., each arrangement is different), we can use the formula for permutations.
The number of ways to arrange n items in a specific order is given by n factorial, denoted as n!. The factorial of a number n is the product of all positive integers less than or equal to n.
In this case, Aaron has 13 songs to arrange on the playlist, so the number of arrangements can be calculated as:
13! = 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
Calculating this expression, we find:
13! = 6,227,020,800
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Write the numbers 50 to 75 on
a sheet of paper.
How many of these numbers
are divisible by 9?
Answer: 54, 63, 72
Step-by-step explanation: Well let's multiply 9 till 75 so 9(1), 18(2), 27(3), 36(4), 45(5), 54(6), 63(7), 72(8). The underlined numbers are ones that are divisible by 3. Hope this helps! :)
nick is going on vacation. one of his bags weighs 242424 kilograms. the other bag weighs 171717 kilograms. how much do both of nick's bags weigh combined? kilograms
Both of Nick's bags weigh 41 kilograms combined.
In mathematical terms, if we let W1 be the weight of the first bag and W2 be the weight of the second bag, then the total weight of both bags can be expressed as W1 + W2.
Substituting the given values, we get:
Total weight of both bags = 24 + 17 = 41 kilograms.
This is a simple addition problem that involves adding the weights of two bags to find the total weight.
The complete question is:
Nick is going on vacation. one of his bags weighs 24 kilograms. the other bag weighs 17 kilograms. how much do both of nick's bags weigh combined?
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Suppose you are conducting a study of reaction times for a group of 10 depressed individuals and 10 non-depressed individuals. You want to compare mean reaction times but in order to use a pooled t test you need to make sure the variances for the two groups are not significantly different. Let var1=8 and var2=25. Are the variances similar enough so you can use the pooled t test to evaluate differences in the means?
Yes or no?
No, the variances are not similar enough to use the pooled t test. The ratio of the two variances (25/8) is greater than 3, which is the typical cutoff for determining similarity of variances. Therefore, an alternative method such as the Welch's t-test or a non-parametric test should be used to compare the means.
To determine if the variances are similar enough to use a pooled t-test, you can perform an F-test for equality of variances. Follow these steps:
1. Calculate the F statistic by dividing the larger variance by the smaller variance: F = var2 / var1 = 25 / 8 = 3.125.
2. Determine the degrees of freedom for each group: df1 = 10 - 1 = 9 and df2 = 10 - 1 = 9.
3. Check the F critical value for the given degrees of freedom and chosen significance level (e.g., 0.05) using an F-distribution table or a calculator. For df1 = 9 and df2 = 9 at a 0.05 significance level, the F critical value is approximately 3.18.
4. Compare the calculated F statistic to the F critical value: 3.125 < 3.18.
Since the F statistic is less than the F critical value, we fail to reject the null hypothesis that the variances are equal. Therefore, the variances are similar enough to use the pooled t-test to evaluate differences in the means. The answer is yes.
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The one-to-one functions g and h are defined as follows.
g={(-8, -3), (-3, 2), (3, 0), (5, 6)}
h(x) = -2x+13
Find the following.
g^-1(-3)
h^-1(x)=
(h^-1•h)(3)
By finding the inverses we can see that:
g⁻¹(-3) = -8h⁻¹(x) = (x - 13)/-2(h⁻¹*h)(3) = 35How to find the inverses?Two functions g(x) and g⁻¹(x) are inverses if:
g⁻¹(g(x)) = x
Here we know that the function g is defined by:
g={(-8, -3), (-3, 2), (3, 0), (5, 6)}
And we want to find:
g⁻¹(-3)
On the table we can see that g(-8) = -3, then:
g⁻¹(-3) = -8
And we have:
h(x) = -2x + 13
Evaluating on the inverse we should get:
h(h⁻¹(x)) = x
= -2*h⁻¹(x) + 13 = x
Solving for the inverse:
h⁻¹(x) = (x - 13)/-2
Now we can get the product:
(h⁻¹*h)(3) = (-2*3 + 13)(3 - 13)/-2
= 7*5 = 35
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please answer completely with work
The dimensions of the deck are 26 meters by 16 meters and 84 meters of fencing will need to be purchased for the deck and pool area.
Let's denote the width of the deck as 'x'.
The length of the pool is 20 meters, and the width is 10 meters.
The combined area of the pool and the deck is 264 square meters.
The area of the pool is length times width: 20 × 10 = 200 square meters.
The area of the deck is (20 + 2x)(10 + 2x) - 200 square meters. We subtract 200 square meters to account for the area of the pool.
Therefore, the polynomial equation representing the given information is:
(20 + 2x)(10 + 2x) - 200 = 264
(200 + 40x + 20x + 4x^2) - 200 = 264
4x²+ 60x = 264
4x² + 60x - 264 = 0
Factoring out a common factor of 4:
4(x² + 15x - 66) = 0
Factoring the quadratic equation:
(x + 18)(x - 3) = 0
The width of the deck is x = 3 meters.
The dimensions of the deck can be found by adding twice the width to the length and width of the pool:
Length of the deck = 20 + 2x = 20 + 2(3) = 26 meters
Width of the deck = 10 + 2x = 10 + 2(3) = 16 meters
Therefore, the dimensions of the deck are 26 meters by 16 meters.
To calculate the length of fencing required, we need to consider the perimeter of the deck.
Perimeter of the deck = 2×(Length of the deck + Width of the deck)
Perimeter of the deck = 2 × (26 + 16)
Perimeter of the deck = 2 × 42
Perimeter of the deck = 84 meters
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The price of two tickets and one coke is $11.00 The price of three tickets and two cokes is $17.00. How much is one ticket?
Answer:5$
Step-by-step explanation:
Find the coordinates of point P that represents the weighted average of the set of points if point A weighs 3 times as much as point C
A is -5
C is 7
The coordinates of point P that represents the weighted average of the set of points are (-8/5, y).
Given that point A weighs 3 times as much as point C. This implies that the weight of point C is 1, and the weight of point A is 3.
To find the weighted average of the points, we can use the formula:
[tex]P = \dfrac{(w_1 \times A + w_2 \times B + w_3 \times C)}{(w_1 + w_2 + w_3)}[/tex]
where P is the weighted average point, w₁, w₂, and w₃ are the weights of points A, B, and C, respectively, and A, B, and C are the coordinates of the points.
Substituting the given values, we have:
P = (3 × (-5) + 0 + 1 × 7) / (3 + 1 + 1)
P = (-15 + 7) / 5
P = -8/5
Therefore, the coordinates of point P that represents the weighted average of the set of points are (-8/5, y).
The y-coordinate cannot be determined without additional information.
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given f(x)=3x+2 and g(x)= √x-1, determine the following: g(f(x)) =
The function g(f(x)) is √(3x + 1).
We have,
This is a composite function.
To find g(f(x)), we need to substitute the function for f(x) into g(x) wherever we see x:
g(f(x)) = g(3x + 2)
Then, we substitute the function for g(x).
g(f(x)) = √(3x + 2 - 1)
Simplifying the expression inside the square root.
g(f(x)) = √(3x + 1)
Therefore,
g(f(x)) = √(3x + 1).
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Halp me this the question
Answer: C
Step-by-step explanation:
You are trying to find the number of muffins Nola started the day with.
When she baked 21 muffins she gained 21 muffins (addition)
When she gave away 30 muffins she lost 30 muffins (subtraction)
The third equation has her gaining 21 muffins and losing 30 muffins for a final amount of 44 so it must be C
The table shows the population of Lincoln Valley over the last 7 years. The town council is
developing long range plans and is considering how the population might grow
in the future if the current trend continues.
Determine the equation which closely models the data.
Lincoln Valley Population 2000-2006
2 3
1
4
5
6
7
Year
Population 1049 1137 1229 1326
1434 1542 1662
A. y=101.9x+932.1
B. y=3.1x2+77x+969.6
C. y=996.6x0.233
D. y=974.9(1.08)*
The function that represents the situation is,
y = 1049(1.080)ˣ.
To determine the equation which closely models the data, we need to first plot the data points on a graph and analyze the trend.
Year Population
1 1049
2 1137
3 1229
4 1326
5 1434
6 1542
7 1662
We can see that the population is increasing each year, so we can assume that it follows an exponential growth pattern.
To find the equation that models the data, we can use the exponential growth formula:
y = abˣ
where y is the population, x is the year, a is the initial population, and b is the growth factor.
Using the data for year 1 and year 7, we can find the values of a and b:
a = 1049
y = abˣ
1662 = 1049b⁷
b = (1662/1049)¹/⁷ = 1.080
Now we can substitute the values of a and b into the formula:
y = 1049(1.080)ˣ.
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Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
The center is (1,0), thus the center lies on the x-axis, the radius is 3 units and the radius of the circle is the same with x² + y² = 9.
What is the radius and the center of a circle?The radius is half the diameter of a circle and the center of the circle is a point from which all distance to the edge of the circle is equal.
The equation that represents the center of the circle equation is (x - h)² + (y - k)² = r², where h,k represents the center and r is the radius.
Our circle in this form is: (x − 1)² +(y − 0)² = 3. Thus, h = 1, k = 0, r = 3. The standard form is y² + (x − 1)² = 9.
We can conclude that the center is (1,0), thus the center lies on the x-axis, the radius is 3 units and the radius of the circle is the same with x² + y² = 9.
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2(x-1)^2 +7= 39 helppp
Answer:
x = 5 or x = -3
Step-by-step explanation:
2(x-1)^2 +7= 39
Subtract 7 from each side.
2(x-1)^2 +7-7= 39 -7
2(x-1)^2 = 32
Divide each side by 2.
2/2(x-1)^2 = 32/2
(x-1)^2 = 16
Take the square root of each side.
sqrt((x-1)^2)= sqrt(16)
x-1 = ±4
Add 1 to each side.
x = ±4 +1
x = 5 or x = -3
Answer:
x = 5 or x = -3
Step-by-step explanation:
We know that,
( a + b )² = a² + 2ab + b²
( a - b )² = a² - 2ab + b²
Accordingly, let us solve this.
2 ( x - 1 )² + 7 = 39
First, solve the brackets.
2 ( x² - 2x + 1 ) + 7 = 39
2x² - 4x + 2 + 7 = 39
Subtract 39 from both sides.
2x² - 4x - 30 = 0
Divide the whole equation by 2.
x² - 2x - 15 = 0
Solve the quadratic equation.
x² + 3x - 5x - 15 = 0
x ( x + 3 ) - 5 ( x + 3 ) = 0
( x - 5 ) ( x + 3 ) = 0
∴ x - 5 = 0 x + 3 = 0
x = 5 or x = -3
What percentage of the student body are in the ninth grade and don’t play a sport? Round your answer to the nearest whole number
Approximately 13 percent of the student body in the 9th grade don't play a sport.
To find the percentage of the student body in the 9th grade who don't play a sport, we need to calculate the number of 9th-grade students who don't play a sport and divide it by the total number of students, then multiply by 100 to get the percentage.
From the table, we can see that the number of 9th-grade students who don't play a sport is 32. The total number of students is 240.
Percentage = (Number of 9th-grade students who don't play a sport / Total number of students) * 100
= (32 / 240) * 100
= 0.133333 * 100
≈ 13.33
Rounded to the nearest whole number, the percentage is 13.
Therefore, approximately 13% of the student body in the 9th grade don't play a sport.
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cylinder container has a radius of 3 in. and a height of 12 in. The
cylinder contains 25 spherical balls that have a diameter of 1.5 in. About
how much space is left in the container not including the balls?
There is about 295.11335 cubic inches of space left in the container, not including the balls.
We must first determine the cylinder's total volume before deducting the volume of the 25 spheres in order to determine the amount of space still inside the container.
The formula for calculating a cylinder's volume is V_cylinder = * r2 * h, where V_cylinder denotes the cylinder's volume, r stands for the cylinder's radius, and h denotes the cylinder's height.
The cylinder's radius (r) in this instance is specified as 3 inches, while its height (h) is specified as 12 inches. We may determine the volume of the cylinder by entering these values into the formula.
V_cylinder equals 3.14159 * 3 2 * 12 V_cylinder is 339.292 in3 in volume.
Next, we must determine the volume of each sphere. The following equation determines a sphere's volume:
Where: V_sphere = (4/3) * * (r3) V_sphere is the sphere's volume, is a mathematical constant roughly equal to 3.14159, and r is the sphere's radius.
The spherical balls' diameter (d) in this instance is 1.5 inches, which means the radius (r) is equal to half of the diameter.
r = 1.5/2d/2 = 0.75 inches.
We may get the volume of each spherical ball using this value as a plug-in in the formula.
V_sphere is equal to 4.33 * 3.14159 * 0.75.
1.7671459 in3 V_sphere
The volume of one sphere is multiplied by the quantity of spheres in order to determine the combined volume of the 25 spherical balls.
V_total_spheres is calculated as V_sphere * 25 V_total_spheres 44.17865 in3.
Finally, we can determine how much room is still in the container by deducting the volume of the 25 spheres from the cylinder's volume.
Space left is equal to V_cylinder - V_total_spheres.
339.292 - 44.17865 space_left
295.11335 in3 of space is remaining.
Without accounting for the balls, there is approximately 295.11335 cubic inches of empty space in the container.
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Alice Fox and Basil Cat are searching for treasure. They start at the old oak tree in the Field of Wonders and walk 240 m, each counting their own steps. Basil Cat takes 100 fewer steps than Alice Fox. Find the length of Alice’s step and the length of Basil’s step if Basil’s step is 20 cm longer than Alice’s step.
The length of Alice’s step is 0.6 m.
The length of Basil’s step is 0.8 m.
What is the length of Alice’s step?Let's A to represent the length of Alice's step in meters.Since Basil takes 100 fewer steps than Alice to walk 240 m;
the number of steps Basil takes = (240/A) - 100.
Let's B to represent the length of Basil's step in meters.Basil's step is 20 cm longer than Alice's step;
B = A + 0.2
The distance each person walks is calculated as;
A(240/A) = (A + 0.2) [(240/A) - 100]
240 = 240 - 100A + 48/A - 20
0 = - 100A + 48/A - 20
100A - 48/A = -20
100A² - 48 = -20A
100A² + 20A - 48 = 0
Solve for A using formula method;
A = 0.6 m
Basil's step length:
B = 0.6 + 0.2
B = 0.8 m
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The terminal ray of an angle passes through the point
[tex](\stackrel{\stackrel{ adjacent }{x}}{-3}~~,~~\stackrel{\stackrel{ opposite }{y}}{-\sqrt{7}})\hspace{5em}\textit{let's find the \underline{hypotenuse}} \\\\\\ \begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{-3}\\ o=\stackrel{opposite}{-\sqrt{7}} \end{cases}[/tex]
[tex]c=\sqrt{ (-3)^2 + (-\sqrt{7})^2}\implies c=\sqrt{ 9 + 7 } \implies c=\sqrt{ 16 }\implies c=4 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cos(\theta )=\cfrac{\stackrel{adjacent}{-3}}{\underset{hypotenuse}{4}}~\hfill[/tex]
or harper divides a package of 12 baby carrots evenly among her 3 pet hamsters, harvey, hammy, and flo. flo eats 2 baby carrots right away. how many baby carrots does flo have left?
If Harper divides 12 baby carrots evenly among her 3 pet hamsters, Harvey, Hammy, and Flo, then each hamster would get 4 baby carrots. However, since Flo ate 2 baby carrots right away, she would only have 2 baby carrots left.
When Harper divides a package of 12 baby carrots among her 3 pet hamsters, each hamster gets 4 baby carrots. But since Flo eats 2 baby carrots right away, she is left with only 2 baby carrots. This means that Harvey and Hammy also have 4 baby carrots each, as they did not eat any carrots. It's important to divide food equally among pets, as it ensures that every pet gets an equal share of nutrients.
In conclusion, Harper divided 12 baby carrots among her 3 pet hamsters equally, but Flo ate 2 baby carrots right away. Therefore, Flo was left with only 2 baby carrots, while Harvey and Hammy had 4 baby carrots each. Dividing food equally among pets is important to ensure that every pet gets a fair share of nutrients.
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