Answer:
-10x^2 Is the exponential form.
Write the equation of the line that passes through the given point and is perpendicular to the given line. (0, 3); 3x − 4y = −8
Answer:
y = -4/3x + 3
Step-by-step explanation:
3x − 4y = −8
-4y = -3x - 8
y = 3/4x + 2
slope m = 3/4
perpendicular version of it is opposite inverse: -4/3
y-intercept through point (0, 3):
y = mx + b
3 = -4/3(0) + b
b = 3
Use the perpendicular slope with b from above to form new perpendicular equation of line:
y = mx + b
y = -4/3x + 3
5x-2x(x-1)=???????????????????????????????
Answer:
7x-2x"2
Step-by-step explanation:
Answer:
it is
7x-2x^2
Step-by-step explanation:
5x+2x-2x^2 = 7x-2x^2
by about how much does the sample slope typically vary from the population slope in repeated random samples of golfers?
The correlation will not be −0.44 based solely on the slope of the regression line. (option c).
Let X and Y be the vectors of standardized values of X and Y, respectively, for all the subjects. Then, the least-squares regression line can be written as:
Y = βX
where β is the slope of the regression line. To find the intercept, we need to solve for the value of Y when X = 0:
Y = β(0) = 0
This means that the intercept of the regression line in the standardized coordinate system is 0. To find the intercept in the original coordinate system, we need to transform this point back using the formula for standardization:
Y = σY(Y) + μY
where σY is the standard deviation of Y and μY is the mean of Y. Since y = 0, we have:
Y = σY(0) + μY = μY
So, the intercept of the regression line in the original coordinate system is equal to the mean of Y. Therefore, we cannot conclude that the intercept will be −0.44 or 1.0.
Hence the correct option is (c).
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Complete Question
When we standardize the values of a variable, the distribution of standardized values has mean 0 and standard deviation 1. Suppose we measure two variables X and Y on each of several subjects. We standardize both variables and then compute the least-squares regression line. Suppose the slope of the least-squares regression line is 20.44. We may conclude that
a. The intercept will also be −0.44.
b. The intercept will be 1.0.
c. The correlation will not be 1/−0.44.
Are these shapes congruent??
Answer:
No
Step-by-step explanation:
A regular hexagon is a polygon that has six sides with equal length and six interior angles with equal measure. In Figure 1, regular hexagon ABCDEF has side length 2x and its vertices lie on the circle with centre O. The diagonals AD, BE and CF divide ABCDEF into six congruent equilateral triangles. (a) In terms of x, what is the radius of the circle?
radius of the circle is sqrt(3)x.
The radius of the circle can be found by using the Pythagorean Theorem. The side lengths of each equilateral triangle created by the diagonals is 2x, so the hypotenuse of the triangle is sqrt(3)x. Since the hypotenuse of each triangle is the same as the radius of the circle, the radius of the circle is sqrt(3)x.
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-1 2/3 -5 1/2 multiply
help please
Answer:
-9.16666666667
Step-by-step explanation:
there
Answer:-9.16666666667
Step-by-step explanation:
please help me solve this problem emergency
The height of the soccer ball when it was hit is 3 feet. It takes approximately 0.66 seconds for the soccer ball to reach its maximum height. The maximum height is approximately 10.89 feet.
To solve the given problem, we'll use the provided quadratic function h(t) = -16t^2 + 21t + 3, which represents the height of the soccer ball at time t.
(a) To find the height of the soccer ball when it was hit, we need to evaluate h(0) since t represents the time in seconds. Substituting t = 0 into the function, we get:
h(0) = -16(0)^2 + 21(0) + 3 = 3
Therefore, the height of the soccer ball when it was hit is 3 feet.
(b) To determine the time it takes for the soccer ball to reach its maximum height, we need to find the vertex of the parabolic function, which represents the maximum point. The time at the vertex can be found using the formula:
t = -b / (2a)
For the function h(t) = -16t^2 + 21t + 3, a = -16 and b = 21.
t = -21 / (2 * -16) ≈ 0.66 seconds (rounded to 3 decimal places).
(c) The maximum height can be found by substituting the time from part (b) back into the function. Evaluating h(0.66), we get:
h(0.66) = -16(0.66)^2 + 21(0.66) + 3 ≈ 10.89 feet (rounded to 3 decimal places).
Therefore, the maximum height of the soccer ball is approximately 10.89 feet.
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The average age of undergraduate students at grand canyon university is 44. if the standard deviation is 4, what percentage of undergraduate students are between 36 and 52 years old?
75% is percentage of undergraduate students are between 36 and 52 years old.
What is percentage and example?
A percentage is a ratio or fraction where the full value is always 100. For example, if Sam received 30% marks in his math test, it signifies that he scored 30 marks out of 100. In ratio form, it is expressed as 30:100 and in fraction form as 30/100.The percentage is used to determine “how much” or “how many.” A percentage number aids in calculating the exact amount or figure that is being discussed. Fractions are compared.This would be true if k=3, but k=2
because (36-44)/4 = -2 and (52-44)/4 = 2
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Identify m<1, m<2, and m<3!
help me please :,(
Answer:
m<1 = 51°
m<2 = 18°
m<3 = 123°
Hope this helps
Answer:
angle 1: 51 angle 3: 123, angle 2: 18, angle 4: 39
Step-by-step explanation:
First lets find angle 1: We can see that the triangle already has 2 angles filled in, so remember that triangles are 180 degrees total. Now we take 72+57=129 degrees. Now 180-129=51 degrees that were missing.
Angle 3: angle 57 and angle 3 will add up to 180 degrees, because it is a line. So all we need to do is subtract 180-57=123 degrees.
Angle 2: We see that there is a right angle on that corner, so we already have 72 degrees. Take 90-72= 18 degrees.
Angle 4: We know angles 3 and 2, so add them up: 123+18=141. Triangles add up to 180 degrees, so 180-141=39 degrees for the missing angle.
Any number that makes 5x=10 true also makes 5x/3=10 ? ? true.
Answer:
No
Step-by-step explanation:
The number which makes \(5x=10\) true is 2.
\(5(2)=10\)
\(10=10\)
Therefore, 2 is the true value for this. But, lets check an equation like this.
\(\frac{5x}{3}=10\)
We can use algebraic methods to solve this, first multiply 3
\(5x=30\)
Divide by 5
\(x=6\)
Because 6 > 2, the number 2 does not make the two equations equivalent.
32 1+1=26 258 4 Part A: Create a story or context for this number sentence. (4 points) Part B: Rewrite this number sentence using multiplication. (2 points) Part C: Give a verbal explanation that describes how these three numbers are related. (4 points) 2
A
Step-by-step explanation:
David drew a double number line diagram and stated that 50% of 36 is 16. Is he correct?
The claim we need to check is that 16 is the 50% of 36.
Recall that if we add 50% and 50%, we should end up with 100%. In our case, we have that our 100% is 36. So, if it was true that 16 is the 50% of 36, then it should happen that if we add 16 with itself, we should get 36.
Note that
\(16+16=32\)Since 16+16 is not 36, it is not true that 16 is the 50% of 36.
Which ordered pair is a solution to the equation?
2x + 4y = 6x - y
A) Only (4, 5)
B) Only (5, 4)
C) Both (4, 5) and (5, 4)
D) Neither
Answer:
B - Only (5,4)
Step-by-step explanation:
substitute x and y values into equation, see if correct.
(4,5) not a solution
(5,4) is a solution
question 7 options: in the game of roulette, there is a wheel with spaces marked 0 through 36 and a space marked 00. find the probability of winning if you pick the number 30 and it comes up on the wheel.
The probability of winning by picking the number 30 in roulette is 1/38.
In the game of roulette, the wheel consists of 38 spaces, with numbers 0 through 36 and an additional space marked 00. When you pick a specific number, such as 30, the probability of that number coming up on the wheel can be determined by calculating the ratio of favorable outcomes to the total number of possible outcomes.
In this case, there is only one favorable outcome, which is the ball landing on the number 30. The total number of possible outcomes is 38 since there are 37 numbered spaces (0 through 36) and one additional space for 00. Therefore, the probability of winning by picking the number 30 is 1 out of 38.
To put it simply, if you were to play roulette many times, you would expect the number 30 to come up approximately once every 38 spins on average. This probability remains the same for each individual spin, as each spin of the roulette wheel is an independent event.
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Which slope is shallower a slope of 3/4 or 4/3?
Answer:
-> a slope of 3/4
Step-by-step explanation:
The larger the slope the bigger the incline, since 3/4 < 4/3, 3/4 is a shallower slope.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
on Saturday morning Alonso went to the farmer's market. he bought 3 eggplants for 5.79$ each. what will be the total cost of the eggplants
Answer:
17.37 (Ignore this it asked for 20 characters)
What is 16 divided by 4 1/2
Answer:
3 5/9
Step-by-step explanation:
Find set of parametric equation and symmetric equation of the line through the point and parallel to the given vector(if possible):
(-3, 0, 2), v = 6j + 3k.
x + 3 / 0 = y / 6 = z - 2 / 3 is the required set of parametric equation and symmetric equation of line.
Given the point (-3, 0, 2) and the vector v = 6j + 3k, we need to find the set of parametric equation and symmetric equation of the line through the point and parallel to the given vector.
Let the line be L and a point on the line be P(x, y, z).
Then, the vector from (-3, 0, 2) to P is given by
r = OP = i(x + 3) + jy + k(z - 2)
Since L is parallel to the vector v = 6j + 3k, the direction ratios of L are proportional to the components of v. Thus, the direction ratios of L are 0, 6, and 3.
Therefore, the parametric equations of L are:
x + 3 = 0 ⇒ x = -3y = tz - 2 = 3t + 2
where t is a parameter, and the symmetric equations are x + 3 / 0 = y / 6 = z - 2 / 3. This is the required answer.
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The ages of people in a movie theater are normally distributed with a mean of 32 years and a standard deviation of 6.2 years. What is the age of a movie attendee with a z-score of -1.2?
enter the answer, rounded to the nearest tenth.
The age of a movie attendee with a z-score of -1.2 is approximately 24.2 years old (rounded to the nearest tenth).
We can use the standard normal distribution to find the age of a movie attendee with a z-score of -1.2:
z = (x - mu) / sigma
where z is the z-score, x is the age we want to find, mu is the mean age, and sigma is the standard deviation.
Rearranging this formula, we get:
x = mu + z * sigma
Substituting the given values, we get:
x = 32 + (-1.2) * 6.2
x = 24.16
Therefore, the age of a movie attendee with a z-score of -1.2 is approximately 24.2 years old (rounded to the nearest tenth).
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Simplify to a single power of 5: 5^8/5^6
Answer:
5^8/5^6 = 5^(8-6) = 5^2 = 25. Therefore, 5^8/5^6 simplified to a single power of 5 is 25.
Step-by-step explanation:
Answer:
the answer for that is 5^6-3 = 5^3 = 125
Step-by-step explanation:
Shawna lives in an apartment 6 5/12 miles from the hospital where she works. Her brother rents a room in a house 3 1/12 miles from the law firm where he is employed. How much farther from work does Shawna live?
Shawna lives 10/3 miles farther from work compared to her brother.
This can also be expressed as a mixed fraction: 3 1/3 miles.
To determine how much farther Shawna lives from work compared to her brother, we need to find the difference between the distances they live from their respective workplaces.
Shawna lives 6 5/12 miles from the hospital, which can be written as a mixed fraction: 6 + 5/12 = 77/12 miles.
Her brother lives 3 1/12 miles from the law firm, which can be written as a mixed fraction: 3 + 1/12 = 37/12 miles.
To find the difference in distance, we subtract the distance her brother lives from the distance Shawna lives:
77/12 - 37/12
To subtract fractions with the same denominator, we subtract the numerators and keep the common denominator:
(77 - 37)/12
Simplifying the numerator:
40/12
Now, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4:
40/12 = (4 \(\times\) 10)/(4 \(\times\) 3) = 10/3
Therefore, Shawna lives 10/3 miles farther from work compared to her brother. This can also be expressed as a mixed fraction: 3 1/3 miles.
Thus, Shawna lives 3 1/3 miles farther from work than her brother.
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\(x + 6x + 3y + 4y\)
but it will be
\(7x + 7y\)
then what do I do next??
Evaluate yx7 + x(-7)
When x = 1, y = -5
A cylinder has a height of 17 centimeters and a diameter of 18 centimeters. What is its
volume? Use a * 3.14 and round your answer to the nearest hundredth.
Answer:4323.78cm^3
Step-by-step explanation:
Solve 210 ÷ 30 = ___ using mental math.
7
70
700
7,000
Answer:
7
-by-step explanation:
none needed just do it in your head like 21 devided by 3=7
After it rained, Albert and his friends saw some worms crawling across the sidewalk. This graph shows the length of the worms.
If you lined up all the worms end to end, how long would the line be?
Write your answer as a fraction, Mixed number, or whole number
Answer:
the worm line would be 4 inches long
Give an example of matrices A, B, and C (of any size), such that B does not equal C, A does not equal 0, and yet AB = AC.
An example of matrices A, B, and C that fit the given conditions are:
A = | 1 2 |
| 3 4 |
B = | 5 6 |
| 7 8 |
C = | 9 10 |
| 11 12 |
Even though B does not equal C and A does not equal 0, the product of AB and AC are the same:
AB = | 1*5 + 2*7 1*6 + 2*8 |
| 3*5 + 4*7 3*6 + 4*8 | = | 19 22 |
| 43 50 |
AC = | 1*9 + 2*11 1*10 + 2*12 |
| 3*9 + 4*11 3*10 + 4*12 | = | 31 34 |
| 69 78 |
As you can see, the product of AB and AC are the same, even though B does not equal C and A does not equal 0. This is an example of how matrices can have the same product even if they are not the same matrix.
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Explain how recapturing a higher percent of marked alligators affects the estimated total population
Recapturing a higher percent of marked alligators affects the estimated total population by making it high enough to support an accurate estimate.
What is Population?This is referred to as the total number of species or organisms in an area at a given period of time.
Recapture rates are high enough to support an accurate estimate. The Lincoln-Peterson calculation tends to overestimate the population size, especially if the number of recaptures is small.
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how many cups of granulated sugar in a 5 pound bag
There are approximately 11.25 cups of granulated sugar in a 5 pound bag.
To determine the number of cups of granulated sugar in a 5 pound bag, we can use the conversion factor of 2.25 cups per pound.
First, we multiply the number of pounds (5) by the conversion factor:
5 pounds * 2.25 cups/pound = 11.25 cups
Therefore, there are approximately 11.25 cups of granulated sugar in a 5 pound bag.
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pleas help!!! no links! According to the line plot, what is the total distance run by the runners that each ran 1/5 of a mile and 1/2 of a mile?
1 3/10 miles
1 7/10 miles
4 miles
1 1/2 miles
17/10 miles
1/5*1+1/2*3=3/2+14/10=17/10
Answer:
1/5+3/2=2/10+15/10=17/10