Answer:
the component form of the resultant vector is (-2, -1).
Step-by-step explanation:
To find the component form of the resultant vector, we need to add the corresponding components of the two input vectors. In this case, the x-component of the resultant vector is equal to the x-component of vector b minus the x-component of vector u, and the y-component of the resultant vector is equal to the y-component of vector b minus the y-component of vector u.
We can therefore write the component form of the resultant vector as follows:
-u + b = (-u_x + b_x, -u_y + b_y) = (-5 + 3, -2 + 1) = (-2, -1)
therefore, the component form of the resultant vector is (-2, -1).
Y’all please work your magic and help me out
Answer:
237.5 in.² or the first option
Step-by-step explanation:
Base 1: 5 · 6.5 = 32.5
Base 2: 5 · 7.5 = 37.5
Base 3: 7.5 · 6.5 = 48.75
Multiply by 2 because 2 of each base.
2(32.5 + 37.5 + 48.75)
2(118.75)
237.5 in.²
Answer question with steps asap I’ll give brainliest! Use photo
The value of the given expression is obtained using the property of composite function as g(f(2)) = 5.
What is a composite function?For two functions f(x) and g(x), a composite function is defined as f(g(x)) or g(f(x)). The characteristics of this function can be described as,
The inverse of a composite function is equivalent to the composition of the inverse of both functions.
The composition of two one to one functions is always one to one.
The given table shows the values of two functions f(x) and g(x).
The given expression is equivalent to the value of g(f(x)) at x = 2.
Now, g(f(2)) can be obtained as follows,
The value of f(2) from the table is 1.
And, the value of g(1) is 5.
Thus, g(f(2)) = g(1) = 5
Hence, the value of the given expression is 5.
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What is the slope of (- 1/4 and 2 5?
A number that describes a line's direction and steepness is known as the slope or gradient of a line in mathematics. The slope of (-1/4, 2/5) is 5/4.
Given two points (x1, y1) and (x2, y2), the slope can be calculated using the formula:
Slope = (y2 - y1) / (x2 - x1)
Therefore, the slope of (-1/4, 2/5) is:
Slope = (2/5 - (-1/4)) / (-1/4 - (-1/4))
Slope = (2/5 + 1/4) / 0
Slope = (3/4) / 0
Slope = 5/4
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recall that a function is called periodic of period if for all . true or false: the function is periodic of period .
Answer: true
Step-by-step explanation:
Abraham Lincoln was featured on a poster that uses a scale of 1 inch = 4/9 feet. If the height of Lincoln on the poster is 14 1/4 inches, what is Lincoln's actual height? 9 A) 6'5" B) 6'4" C) 6'3" D) 6'2" E) 6'1"
Answer: 6 ft 4 inches
Step-by-step explanation:
What is an equation of the line that passes through the points (5, -4) and (-5, 4)
Answer:
y=-0.8x
Step-by-step explanation:
slope=(y2-y1)/(x2-x1)
=(4-(-4))/(-5-5)
=8/-10= -0.8
y=-0.8x+b
4=-0.8(-5)+b
4=4+b
b=0
y=-0.8x
Jaiden is ordering 2.615, 2.65, 2.7, and 2.623 from least to greatest. Here are his steps: (1) Compare and order 2.7 and 2.65 because they have the fewest digits. (2) Compare each digit of the numbers 2.615 and 2.623. * The units digits are equal. * The tenths digits are equal. * 1 < 2 in the hundredths place so 2.615 < 2.623. (3) Combine the two lists into one: 2.7, 2.65, 2.615, 2.623. Which statement describes Jaiden’s error?
The statement that describes Jaden's error is; Jaiden should have added
zeros to each of the shorter decimals to get 2.615, 2.650, 2.700, and 2.623, then he should have compared them using place values.
What is error?
Actions that are inaccurate or incorrect are considered errors. An error is the same as a mistake in some contexts. The word 'errare,' which means 'to stray,' is where the etymology originates from. In statistics, the term "error" describes the discrepancy between the computed value and the correct value.
The place value indicates the multiple of 10 by which the digit is multiplied. The given numbers have the same values in the ones place value, the difference are in the numbers to the right of the decimal point.
The given numbers are;
2.615
2.65
2.7
2.623
The steps to order the numbers from least to greatest;
Add zeros to the shorter decimals such that each number have the same number of digits after the decimal point; 2.615, 2.650, 2.700 2.623
Then
Select the number with the lowest ones; Which gives all the numbers
Then
From the above list, select the number with the lowest tenth, and move them to the left of the list; Which gives the numbers, 2.615, 2.650, 2.623, 2.700
Next
From the above list, select the number with the lowest hundredth, and move them to the left of the list, in increasing order of the hundredth; Which gives the numbers, 2.615, 2.623, 2.650, 2.700
The numbers 2.615, 2.623,2.650, 2.700, are in the order from least to
greatest.
Hence, Jaiden's error is that Jaiden should have added zeros to each of the shorter decimals to get 2.615, 2.650, 2.700, and 2.623, then he should have compared them using place values.
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Complete question:
Jaiden is ordering 2.615, 2.65, 2.7, and 2.623 from least to greatest. Here are his steps: (1) Compare and order 2.7 and 2.65 because they have the fewest digits. (2) Compare each digit of the numbers 2.615 and 2.623. * The units digits are equal. * The tenths digits are equal. * 1 < 2 in the hundredths place so 2.615 < 2.623. (3) Combine the two lists into one: 2.7, 2.65, 2.615, 2.623. Which statement describes Jaiden’s error?
(1) The numbers are listed from greatest to list
(2) The two numbers with the most digits should have been compared first
(3) Zeros should have been added to the numbers to get, 2.615, 2.065, 2.007, and 2.623. Then the numbers should be compared using place value
(4) He should have added zeros to each of the shorter decimals to get 2.615, 2.650, 2.700, and 2.623, then he should have compared them using place values.
The distribution of scores on a recent test closely followed a Normal Distribution with a mean of 22 points and a standard deviation of 2 points. For this question, DO NOT apply the standard deviation rule.
(a) What proportion of the students scored at least 26 points on this test, rounded to five decimal places?
.02275
(b) What is the 71 percentile of the distribution of test scores, rounded to three decimal places?
24.073
The proportion of the students for the given condition is 0.0228 and the 71 percentile of the normal distribution of the test score is equal to 23.106.
As given in the question,
Mean of the normal distribution 'μ' = 22 points
Standard deviation of the normal distribution 'σ' = 2 points
Z score is calculated using :
z = (x - μ)/σ
Here, x represents the raw score
a. Condition: Students score at least 26 points
x > 26
⇒ (x - μ) / σ > ( 26 - 22 ) / 2
⇒ (x - μ) / σ > 4 /2
⇒ (x - μ) / σ > 2
⇒ z > 2
Proportion of the students scored z > 2
P(z > 2) = 1 - P(z < 2)
= 1 - 0.9772
= 0.0228
b. 71 percentile has a z score of 0.553
0.553 = (x - 22)/2
⇒x - 22 = 1.106
⇒ x = 23.106
Therefore, the proportion of the students scored at least 26 points are 0.0228 and 71 percentile of the normal distribution of the test score is equal to 23.106.
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x^2-8x+16 in qudratic formula
Answer: x = 4
Step-by-step explanation: i used mathaway to answer this
If you can fill 1 van and 6 buses with 372 students, and fill 4 vans and 12 buses with 780 students, and each bus and van had the same number of students, how many students can 1 van hold? How many students can 1 bus hold?
Answer:
53,47
Step-by-step explanation:
If 1 van and 6 buses with 372 students, then each bus and van had 372/7 = <<372/7=53>>53 students.
If each bus and van had the same number of students, then 4 vans and 12 buses had 453 = <<453=212>>212 students.
If 4 vans and 12 buses with 780 students, then each bus had 780-212 = <<780-212=568>>568/12 = <<568/12=47>>47 students.
Therefore, 1 van can hold 53 students and 1 bus can hold 47 students. Answer:{53,47}.
10. Given a, b E Z, prove that if a²(b² - 2b) is odd, then both a and b are odd.
11. Given m, n = Z, prove that if 25 + mn, then 5 m or 5 tn.
12. If m, n E Z and m + n is even, prove that m² + n² is even.
13. Prove that an integer n is even if and only if n² + 2n + 9 is odd.
14. If a is an odd integer, prove that a² + 3a + 5 is odd.
Answer:
10. Given a, b E Z, if a²(b² - 2b) is odd, then both a and b must be odd numbers. This is because the only way for the product of two numbers to be odd is if both of the numbers are odd. In other words, if a and b are both even, then a²(b² - 2b) would be an even number, and if one of a and b is odd and the other is even, then a²(b² - 2b) would be an even number. So the only way for a²(b² - 2b) to be odd is if both a and b are odd.
11. Given m, n E Z, if 25 + mn is divisible by 5, then either m or n must be divisible by 5. This is because if both m and n are not divisible by 5, then the product mn will not be divisible by 5, and 25 + mn would not be divisible by 5. However, if either m or n is divisible by 5, then the product mn will be divisible by 5, and 25 + mn would be divisible by 5. So if 25 + mn is divisible by 5, then either m or n must be divisible by 5.
12. If m, n E Z and m + n is even, then m² + n² is also even. This is because the sum of two even numbers is always even, and the square of an even number is always even. So if m + n is even, then both m and n must be even, and m² and n² would both be even. Therefore, the sum m² + n² is also even.
13. An integer n is even if and only if n² + 2n + 9 is odd. This is because the square of an even number is always even, and the sum of two even numbers is always even. So if n is even, then n² and 2n are both even, and the sum n² + 2n + 9 would be odd. On the other hand, if n² + 2n + 9 is odd, then the sum of the first two terms, n² + 2n, must be even. Since the square of an even number is always even, this means that n must be even. So n is even if and only if n² + 2n + 9 is odd.
14. If a is an odd integer, then a² + 3a + 5 is also odd. This is because the product of two odd numbers is always odd, and the sum of two odd numbers is always even. So if a is odd, then a² and 3a are both odd, and the sum a² + 3a + 5 would be even. Since the sum of two odd numbers is always even, this means that a² + 3a + 5 is odd. Therefore, if a is an odd integer, then a² + 3a + 5 is also odd.
Step-by-step explanation:
When Julia goes bowling, her scores are normally distributed with a mean of 200 and a standard deviation of 14. Using the empirical rule, what percentage of the games that Julia bowls does she score between 158 and 242?
she will score 100 % between 158 and 242.
What is a standard deviation?
The standard deviation is a measurement of how much a group of values vary or are dispersed. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
Here, we have
Given: When Julia goes bowling, her scores are normally distributed with a mean of 200 and a standard deviation of 14.
we have to find the percentage of the games that Julia bowls she scores between 158 and 242.
Mean = 200
she scores between 158 and 242
(158 - 200)/14 = - 3
(242 - 200)/14 = 3
Hence her score lies within - 3SD to + 3SD
As per the empirical rule
100 % of data lies within - 3SD to + 3SD
Hence, she will score 100 % between 158 and 242.
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Fill in the missing number. 70% of = 70 Submit
Answer:
100
Step-by-step explanation:
70 % is .7 in decimal
.7 * x = 70 divide both sides by .7
x = 100
Step-by-step explanation:
you mean
70% of x = 70
right ?
you know that the "whole" is represented by 100% ?
this is easy here, but in general, when in doubt, find either 100%, calculate 1% as 100%/100 and find the desired %, or you find 1% directly and calculate the needed % (incl. 100%) out of this.
so, we know, 70% = 70
that means
1% = 70%/70 = 70/70 = 1
and then
100% = 1%×100 = 1×100 = 100
so,
70% of 100 = 70
now you see, why I said this is easy in this case here. because % and the absolute numbers have the same units. so, this goes 1:1.
The polynomial p is a function of x. The graph of p has four zeros at -4,-1,0, and 9. Select ALL the expressions
that could represent p.
more than one
a. 3x(x-4)(x - 1)(x + 9)
answer
b. --x(x + 4)(x + 1)(x-9)
c. -3x(x+4)(2x + 2)(x-9)
d. 3x(x+4)(x-1)(x-9)
e. -3x(x + 4)(x + 1)(x − 9)²
The polynomial function in which p has four zeros at -4,-1,0, and 9 are:
--x(x + 4)(x + 1)(x-9) , -3x(x+4)(2x + 2)(x-9) and -3x(x + 4)(x + 1)(x − 9)²
What is a polynomial function?A polynomial function is one that involves only non-negative integer powers or positive integer exponents of a variable in an equation such as the quadratic equation, cubic equation, and so on.Here given polynomial function,
a. 3x(x-4)(x - 1)(x + 9)
if x = 0
then the function becomes 0
but -4 , -9 , -1 does not satisfy.
Therefore the function does not have four zeroes
b. --x(x + 4)(x + 1)(x-9)
Here the function will have four zeroes,
x = 0
(x + 4 ) = 0 when x = -4
(x + 1 ) = 0 when x = -1
(x - 9) = 0 when x = 9
Therefore the function has four zeroes.
c. -3x(x+4)(2x + 2)(x-9)
Here the function will have four zeroes,
x = 0
(x + 4 ) = 0 when x = -4
(2x + 2 ) = 0 when x = -1
(x - 9) = 0 when x = 9
d. 3x(x+4)(x-1)(x-9)
Here the function will have four zeroes,
x = 0
(x + 4 ) = 0 when x = -4
(x - 1 ) = 0 when x = 1
(x - 9) = 0 when x = 9
Here x = -1 does not satisfy, So the function does not have four zeroes.
e. -3x(x + 4)(x + 1)(x − 9)²
Here the function will have four zeroes,
x = 0
(x + 4 ) = 0 when x = -4
(x - 1 ) = 0 when x = 1
(x - 9)² = 0 when x = 9
Therefore the function has four zeroes.
Therefore the polynomial functions with four zeros at -4,-1,0, and 9 are as follows: —x(x + 4)(x + 1)(x-9), -3x(x+4)(2x + 2)(x-9) and
-3x(x + 4)(x + 1)(x-9) ²
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A sports statistician was interested in the relationship between game attendance (in thousands) and the number of wins for baseball teams. Information was collected on several teams and was used to obtain the regression equation ŷ = 4.9x + 15.2, where x represents the attendance (in thousands) and ŷ is the predicted number of wins. Which statement best describes the meaning of the y-intercept of the regression line? When the number of wins is 0, the predicted attendance is 0. When the number of wins is 0, the predicted attendance is 15,200. When the attendance is 0, the predicted number of wins is 4.9 When the attendance is 0, the predicted number of wins is 15.2.
The option that has the statement that best describes the the meaning of the y-intercept of the regression line is the option;
When the attendance is 0, the predicted number of wins is 15.2
What is a regression line?A regression is a representation of a linear relationship between an input and an output variable. It is a model of the relationship between the variables presented in a linear form.
The regression equation is; [tex]\hat {y}[/tex] = 4.9·x + 15.2
Where:
x = The game attendance (in thousands)
[tex]\hat{y}[/tex] = The predicted number of times the team wins
The y-intercept represents the point at which the graph of the regression line equation intersects or touches the y-axis, which is the point where the x-value is 0, therefore, at the y-intercept, we get;
x = 0, [tex]\hat{y}[/tex] = 4.9 × 0 + 15.2 = 15.2
At the y-intercept, [tex]\hat {y}[/tex] (the predicted number of wins) = 15.2
The description of the y-intercept is therefore, that when there is 0 attendance, the predicted number of wins of a base ball team is 15.2
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Please help will mark brainliest
The required value of ab is -1.5 which is the correct answer would be option (B).
What is a quadratic equation?The quadratic equation is defined as a function containing the highest power of a variable is two.
The quadratic equation is given as:
4x² + 5x - 6 = 0
4x² + 8x - 3x - 6 = 0
4x(x + 2) - 3(x + 2) = 0
(x + 2)(4x - 3) = 0
Each factor equals to 0 and solves for x.
x + 2 = 0 and 4x - 3 = 0
x = -2 and x = 3/4
If a and b are two solutions to the given equation,
So, we have a = -2 and b = 3/4
⇒ ab = -2 × 3/4 = -6/4 = - 1.5
Therefore, the required value of ab is -1.5.
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What is 2 plus or minus -3?
Answer:
5
Step-by-step explanation:
2 minus -3 is 5
14h 45min 78s + 5h 18min 37s
answer
20hours 4 min 55sec
What is 40/1000 in decimal form
Answer: 0.04
Step-by-step explanation:
Divided by 1000 mean we will move the decimal to the left 3 times
So 40 divided by 1000= 0.04
Answer:
0.04
Step-by-step explanation:
Richard and Teo have a combined age of 25. Richard is 4 years older than twice Teo's age. How old are Richard and Teo?
Answer:
Teo is 7 and Richard is 18
Step-by-step explanation:
pls give me brainlist :)
This giant Rubber Duck has been recreated in many cities around the world, including Hong Kong, Pittsburgh, Toronto, Baku, and Sydney. The largest duck so far is in Saint-Nazaire, France. The duck measures 26 by 20 by 32 meters. A normal-sized rubber duck is about 3.5 inches at its widest part. What is the scale factor for this giant duck? Round your answer to the nearest whole meter.
The scale factor used in making the giant duck that duck measures 26 by 20 by 32 meters is 225
How to find the scale factorScale factors are used to increase or decrease image. The situation of increment is usually called magnifying.
For the duck the measures 26 by 20 by 32 meters represent the factored image, the original image is 3.5 inches for the lowest
comparing the lowest for both the original size and the giant duck
converting 3.5 inches to meters 0.0889 meters
let the scale factor be k
solving for the factor
0.0889 * k = 20
k = 20 / 0.0889
k = 224.97
k = 225
This factor for the giant duck is 225
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Which table of ordered pairs represents a proportional relationship?
X: -3 -4 -5
Y: 3 2 1
X: -1 -3 -5
Y: 1 3 5
X: -2 -4 -6
Y: -5 -7 -9
X: -2 -3 -4
Y: 0 -1 -2
Answer:
X: -1 -3 -5
Y: 1 3 5
Step-by-step explanation:
Divide y by x for all the points. If the quotients are different, it is not proportional. If the quotients are equal, it is a proportional relationship.
A.
3/(-3) = -1
2/(-4) = -1/2
Not Proportional
B.
1/(-1) = -1
3/(-3) = -1
5/(-5) = -1
Proportional
C.
-5/(-2) = 5/2
-7/(-4) = 7/4
Not proportional
D.
0/(-2) = 0
-1/(-3) = 1/3
Not Proportional
write the equation in point slope form of the line that is perpendicular to 3x-2y=-8 going through the point (-6,5
Answer:
y-5 = -2/3 (x+6)
Step-by-step explanation:
-2y = -3x -8
2y = 3x + 8
2/2 y = 3/2 x + 8/2
y = 3/2 x + 4
slope of a perpendicular line
- 2/3
y-5= -2/3(x-(-6)
y-5 = -2/3 (x+6)
a street light is at the top of a 17 foot tall pole. a 6 foot tall woman walks away from the pole with a speed of 4 ft/sec along a straight path. how fast is the tip of her shadow moving when she is 35 feet from the base of the pole?
The tip of her shadow moving when she is 35 feet from the base of the pole is 8.77 feet.
Let H = the height of the pole.
h = the height of the woman.
x = the length of the woman's shadow.
s = the distance from the pole to the woman.
By similar triangles, H/h = (s + x)/x or Hx = h(s + x).
Differentiating, H dx/dt = h(ds/dt + dx/dt)
⇒ 17 dx/dt = 6(6 + dx/dt)
= 36 + 6 dx/dt
= 13 dx/dt
= 36
⇒ dx/dt = 36/13 ft/sec = 2.77 ft/sec for how fast her shadow is lengthening.
The speed of the tip of her shadow would be this speed added to her traveling speed: 2.77 + 6 = 8.77 ft/sec.
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Rajani finds some dimes and quarters in her change purse. How much money (in dollars) does she have if she has 4 dimes and 5 quarters? How much money (in
dollars) does she have if she has a dimes and y quarters?
Answer:she willl have 20
Step-by-step explanation:
because each is aa key word for multiply
Mason has $20.00 to buy groceries. He buys 2.6 pounds of apples. The apples cost $1.25 per pound. He bought 2 pounds of lunch meat that costs $4.65 per pound. Mason also bought
a loaf of bread that costs $2.99. How much change should he receive after his purchase? (do not include the dollar sign in your answer)
Answer:
4.46
Step-by-step explanation:
2.6 pounds of apples= 1.25 × 2.6 = 3.25
2 pounds of lunch meat = 4.65 × 2 = 9.3
a loaf of bread = 2.99
total = 3.25 + 9.3 + 2.99 = 15.54
change = 20.00 - 15.54 = 4.46
I hope this helps.
Have a nice day dear.
A scuba diver was at a depth of -9 feet and dove another 7 feet to see a school of fish. What is the current depth of the diver?
Answer:
-16
Step-by-step explanation:
what grade are you in bro?
What number would you divide by calculate the mean of 3 4 5 and 6?
The number you would divide by to calculate the mean of 3, 4, 5, and 6 is 4. The mean of 3, 4, 5, and 6 is 4.5.
1. Add all of the numbers together: 3 + 4 + 5 + 6 = 18
2. Count how many numbers there are: 4
3. Divide the sum by the number of numbers: 18 / 4 = 4.5
The mean is a type of average. It is calculated by adding all of the numbers together and then dividing the sum by the number of numbers. In this case, we added 3, 4, 5, and 6 together to get 18. We then divided 18 by the number of numbers (4) to get 4.5, which is the mean of 3, 4, 5, and 6.
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Ragu ran the first 3 miles of a 5 mile race in 24 minutes.
What percent of the race has he run?
Answer: Ragu ran 3/5 or 60% of the race in 24 minutes. [EXTRA: He runs 20% of the race every 8 minutes, which means that it would take him 40 minutes to complete the entire race (this answer is extra if you need it)]
Step-by-step explanation: none, basic mathematics
true or false: let be a random sample from with sample variance, and a random sample from with sample variance . assume that and are independent of one another. then group of answer choices true false