Answer:1513
Step-by-step explanation:
Add or multiply I will show you how I got 1513:
436+5=441
441+414=855
855+551=1306
1306+207=1513
a car travels 32 km due north and then 46 km in a direction 40 degress west of north. find the magnitude of the cars resultant vector
Answer:
50 degrees
Step-by-step explanation:
PLZ MARK BRAINLIEST
If d stands for the diameter of a circle and r stands for the radius of a circle, then:
A d = 2r
B = 2d
O c d = 3. 141
D. = 3.140
O E. d= 72
PLEASE HURRY!
Which of the following is true?
a. The p-value for a one-tailed test would be the same as the current p-value.
b. The p-value for a one-tailed test would be half the current p-value.
c. If this test was one-tailed instead of two-tailed g, you would reject the null.
d. If this test was one-tailed instead of two-tailed, you would still fail to reject the null.
d. The p-value for a one-tailed test would be double the current p-value.
Answer:
The correct option is c which is if this test was one-tailed instead of two-tailed, you would reject the null.
Step-by-step explanation:
a: This statement cannot be true as the p-value for a 1 tailed test is dependent on the level of significance and other features.
b: This statement cannot be true as there is no valid mathematical correlation between the p-value of the one-tailed test and the current p-value.
c: This statement is true because due to the enhanced level of significance, the null hypothesis will not be rejected.
d: This statement is inverse of statement c which cannot be true.
e: The statement cannot be true as there is no correlation between the current p-value and the p-value of 1 tailed test. The correlation exists between the values of one-tailed and two-tailed p-values.
Solving for Unknown Angles
Lines x and y are parallel.
Parallel lines x and y are intersected by lines s and t. At the intersection of lines x, t, and s, clockwise from top left, the angles are blank, blank, (6 x + 8) degrees, blank, (7x minus 2) degrees, blank. At the intersection of lines x and y, the angles are 106 degrees, 1, blank, blank. At the intersection of lines y and t, the angles are 2, blank, blank, blank.
Use the diagram to determine the measure of the unknown angle.
m∠1 = (6x + 8)°
m∠1 = 74°
What is the value of x?
What is the measure of ∠2?
(7x - 2)° + m∠2 = 106°
m∠2 =
°
Answer:
x=11
Step-by-step explanation:
x=11 because, 6x+8= 74, so you do 74-8=66 and 66/6= 11. so x=11,
the measure of 2 is 7(11)-2+m=106.
so you add 2 on both sides to cancel it out, and you end up with 7(11)+m=108
now you do 7(11)= 77, and you subtract from both sides and get 31.
therefore, m=31.
hope this helps!
Answer:
x=11
Step-by-step explanation:
A specimen of connective tissue (collagen) can be obtained from a beef steak. The temperature at which the collagen shrinks can be determined. A tender piece of meat tends to have a low collagen shrinkage temperature. So, the lower shrinkage temperature, the more tender the meat. It is believed that electrical stimulation of a beef carcass could improve the tenderness of the meat. In one study of this effect, beef carcasses were split in half; one side (half) was subjected to a brief electrical current and the other side was an untreated control. For each side, a steak was cut and tested in various ways for tenderness. In one test, the experimenter obtained a specimen of the connective collagen tissue from the steak and determined the temperature at which the tissue would shrink. The experimenter wishes to prove that electrical stimulation tends to improve the tenderness of the meat. The raw data are found in the table below. Let = 0.02.
To draw a conclusion, a statistical analysis with a significance level (alpha) of 0.02 can be applied to compare the results.treated samples consistently show lower shrinkage temperatures compared to the control samples
In this study, the aim is to prove that electrical stimulation improves meat tenderness. Connective tissue (collagen) from beef steaks was examined, as lower collagen shrinkage temperature indicates higher tenderness.
The beef carcasses were split, with one side subjected to electrical current and the other side untreated as a control. Steak samples were cut from each side and tested for tenderness by determining the collagen shrinkage temperature.
I, it suggests that electrical stimulation does improve meat tenderness.
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Which expressions are equivalent to 24-7? Choose all the correct answers. Show your work.
The equivalent expressions to \(24^{-7}\) are given as follows:
C. \(\left(\frac{1}{24^{-7}}\right)^{-1}\)
F. \((24^3 \times 24^4)^{-1}\)
What are are equivalent expressions?Equivalent expressions are expressions that have the same value for all possible values of the variables. In other words, equivalent expressions are different ways of writing the same mathematical idea.
The exponent in the denominator can be moved to the numerator with the changed signal, hence:
\(\left(\frac{1}{24^{-7}}\right)^{-1} = (24^7)^{-1}\)
Applying the power of power rule, we multiply the powers, hence:
\((24^7)^{-1} = 24^{-7}\)
When two terms with the same base and different exponents are multiplied, we add the bases and keep the exponents, hence:
\((24^3 \times 24^4)^{-1} = (24^7)^{-1} = 24^{-7}\)
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ALGEBRA please put a very small explanation to the awnser
Certainly! The problem can be solved using the Pythagorean theorem,
which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.
The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.
By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.
Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.
We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.
Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.
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Indigo went shopping for a new pair of sneakers. Sales tax where she lives is 3.75%. The price of the pair of sneakers is $20. Find the total price including tax. Round to the nearest cent.
Step-by-step explanation:
price=$20tax rate=$3.75multiply the price with rate and you will get tax the add it to the real pricetotal price incl. tax= 20+(20*3.75/100)=20.75there is your answer...The total price of sneakers including tax will be equal to $20.75.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Price of sneakers = $20
Tax on sneakers = 3.75%
Then, the amount of tax will be,
(20 × 3.75)/100
= 75/100
= $0.75
Then, the total price of the sneakers will be,
$20 + $0.75
= $20.75
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120 + 18 1/4x = 180 –134x
The solution to the equation 120 + 18 1/4x = 180 –13/4x is x = 120/43
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
120 + 18 1/4x = 180 –134x
Express the equation properly
This gives
120 + 18 1/4x = 180 –13/4x
Collect the like terms in the above equation
So, we have the following representation
18 1/4x + 13/4x = 180 - 120
Evaluate the like terms in the above equation
So, we have the following representation
21 1/2 x = 60
Express as decimal
21.5x = 60
Divide both sides by 21.5
x = 60/21.5
Simplify the fraction
x = 120/43
Hence. the solution is x = 120/43
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Use the diagram below to answer the questions about the Law of Cosines.
Based on the Law of Cosines; it was proven that:
cos Θ = x/acos (180 - C) = x/aa² + b² + 2bx = c²Please note that the given equation on number 3 is wrong. The correct equation should be: a² + b² + 2bx = c². The explanation why the given equation is incorrect will be explained later.
Based on the unshaded triangle, we can find that:
cos Θ = x/a
Next, we will prove that: cos (180 - C) = x/a
Remember that:
cos (A + B) = cos A cos B - sin A sin B
Law of Cosines: c² = a² + b² - 2ab. cos C
cos C = - [c² - (a² + b²)] /2ab ... (i)
Then:
cos Θ = cos (180 - C)
cos (180 - C) = cos 180 . cos C - sin 180 . sin C
We subtitute equation (i):
cos (180 - C) = (-1) (- [c² - ((a² + b²)] / 2ab) - 0 sin C
cos (180 - C) = [c² - (a² + b²)]/ 2ab ... (ii)
If we focus on the unshaded triangle, we can find an equation of a, where:
a² = h² + x² ... (iii)
And if we combine both triangle into a giant triangle, we can make another equation of c. where:
c² = (x + b)² + h² ... (iv)
We will subtitute equation (iv) into equation (ii):
cos (180 - C) = [c² - (a² + b²)]/ 2ab
cos (180 - C) = [(x + b)² + h² - (a² + b²)] / 2ab
cos (180 - C) = [x² + b² + 2bx + h² - a² - b²] / 2ab
cos (180 - C) = [x² + 2bx + h² - a²] / 2ab ... (v)
We subtitute equation (iii) into equation (v):
cos (180 - C) = [x² + 2bx + h² - a²] / 2ab
cos (180 - C) = [a² + 2bx - a²] / 2ab
cos (180 - C) = 2bx / 2ab
cos (180 - C) = x/a --> PROVEN!
Next, we will try to show why the given equation of a² + b² - 2bx = c² is incorrect.
We know that:
a² + b² - 2ab cos C = c²
c² = (x + b)² + h²
We will try to find the value of cos C:
a² + b² - 2ab cos C = (x + b)² + h²
a² + b² - 2ab cos C = x² + b² + 2bx + h²
a² - 2ab cos C = a² + 2bx
- 2 ab cos C = 2bx
cos C = - x/a
We will subtitute the value of cos C under the Law of Cosines:
c² = a² + b² - 2ab cos C
c² = a² + b² - 2ab (- x/a)
c² = a² + b² + 2bx --> PROVEN!
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I woke up at 7 AM and took a shower for 30 minutes. After that I ate for 10 minutes. After this, I played video games until 8 AM. How long did I play video games for?
Answer:
You woke up at 7:00 AM
You finished your shower at 7:30 AM
You finished your meal at 7:40 AM
You finished your videogames at 8:00 AM
8:00 AM - 7:40 AM = :20
So, you played video games for 20 Minutes! That sure must be a quick game...
Hopefully this helped!
the mean of four numbers is 12 and the mean of another six numbers is 22 what is the mean of all ten numbers?
To find the mean of a set of numbers, you need to add up all the numbers and then divide by the number of numbers in the set.
In this case, the mean of the four numbers is 12, which means the sum of those four numbers is 4 × 12 = 48. The mean of the other six numbers is 22, which means the sum of those six numbers is 6 × 22 = 132. The sum of all ten numbers is therefore 48 + 132 = 180.
To find the mean of all ten numbers, we need to divide the sum by the number of numbers, which is \(\frac{180}{10}\) = 18. Therefore, the mean of all ten numbers is 18.
What are the center and radius of the circle defined by the equation
x2 + y2 - 6x+10y + 25 = 0 ?
O A. Center (3,-5); radius 9
B. Center (-3, 5); radius 3
C. Center (3,-5); radius 3
D. Center (-3, 5); radius 9
Answer: Center (3,-5); radius 3
Step-by-step explanation:
The center and radius of the circle defined by the equation is (3, -5) and 3.
What is Equation of Circle?The standard equation of a circle is given by:
(x-h)² + (y-k)² = r²
Where (h,k) is the coordinates of center of the circle and r is the radius.
We have Equation,
x² + y² -6x + 10y +25= 0
Now, rearranging the terms
x² -6x + y² +10y +25 = 0
Now, add and subtract 9
x² -6x + 9 + y² +10y +25 -9 = 0
(x-3)² + (y+5)² = 3²
(x- 3)² + y(-(-5))² = 3²
So, the Centre of Circle is (3, -5) and the radius is 3.
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pleas
HELP IMMEDIATELY
Answer:
144ft^3
Step-by-step explanation:
To start, we have your formula: \(V=\frac{1}{2} (bh) (l)\)
b = base length of the triangle.
h = height of the triangle.
l = length of the prism
Fill in for each of those values:
\(V = \frac{1}{2} (6x6)(8)\)
\(V=\frac{1}{2} (36)(8)\)
\(V=(18)(8)\)
\(V=144\)
Your answer, because it is a 3D shape, should be cubed, so:
\(V=144ft^{3}\)
Ifr is the slope of a line, and m is the slope of line perpendicular to that line, what is the relationship between r and m?
Step-by-step explanation:
If slope r and slope m are perpendicular , their product must give negative one.
That is r ×m = -1
r = -1 /m
m = -1 /r
what do i supposed to do with this ?
Answer:
7/6 or 1 1/6
Step-by-step explanation:
2/3 = 4/6
1/2 = 3/6
3/6 + 4/6 = 7/6 = 1 1/6
Solve this equation.
-40-b + 6) = 4
Answer:
b = −2
Step-by-step explanation:
1. Simplify −4 − b + 6 to 2 − b.
− b = 4
2. Subtract 2 from both sides.
−b = 4 − 2
3. Simplify 4 − 2 to 2.
−b = 2
4. Multiply both sides by −1.
b = −2
The equation Y= X^2/2 - 8 and Y= 2X -2 are graphed below what are the solutions to the equation X^2/2 - 8 = 2X -2 
The equation X^2/2 - 8 = 2X - 2 has two solutions, X = 6 and X = -2. These are the values of X that satisfy the equation and make both equations Y = X^2/2 - 8 and Y = 2X - 2 intersect on the graph.
To find the solutions to the equation X^2/2 - 8 = 2X - 2, we need to set the two equations equal to each other and solve for X.
The equation is:
X^2/2 - 8 = 2X - 2
To simplify the equation, let's multiply both sides by 2 to eliminate the fraction:
X^2 - 16 = 4X - 4
Next, we rearrange the equation to have all terms on one side:
X^2 - 4X - 12 = 0
Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use factoring in this case:
(X - 6)(X + 2) = 0
Setting each factor equal to zero gives us two possible solutions:
X - 6 = 0 --> X = 6
X + 2 = 0 --> X = -2
So the solutions to the equation X^2/2 - 8 = 2X - 2 are X = 6 and X = -2.
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If y=6 what is the value of 100 - 2y?
Answer:
88
Step-by-step explanation:
100- 2(6) because as been said y=6 so we substitute the 6 into y and we times the 2 with the 6 so we get 12 after that we minus 100 with 12 so we get 88
Just number two from the pic
Step-by-step explanation:
150 students overall.
an immediate assumption would be that these 150 students are the universal set of students taking these classes.
but we have to be careful and check. could it be that there are more than these 3 classes for the 150 students ? or that there is an option to be a student and not take any of the classes ?
the last question (c) suggests something like that.
so, these 150 students are the universal set for all these cases.
the sum of all students that took 2 classes contains also the ones that took all 3 classes. each of these students (that took all 3 classes) are then counted three times in these groups - one time for each pair of classes.
so, 26 + 28 + 32 - 22 - 22 = 42 is the number of students that took at least 2 classes (the subtraction of 2×22 eliminates two of the triple counting of the students that took all 3 classes).
since these 42 students contain also the ones with 3 courses, we need to subtract the 22 with 3 classes a third time again to get the number of students that had exactly 2 classes :
42 - 22 = 20.
so, we have 22 students attending all 3 class.
then 20 more attending exactly 2 classes.
in detail it means for these 20
26 - 22 = 4 had taken exactly math and physics.
28 - 22 = 6 had taken exactly math and chemistry.
32 - 22 = 10 had taken exactly chemistry and physics.
and that means for the individual classes
84 - 22 - 4 - 6 = 52 had taken math only.
64 - 22 - 6 - 10 = 26 had taken chemistry only.
48 - 22 - 4 - 10 = 12 had taken physics only.
in total
150 - 52 - 26 - 12 - 20 - 22 = 18
18 students of these 150 have not attended any of these 3 classes.
(a)
so,
52 + 26 + 12 = 90
90 students took one course only.
(b)
so, the number of students that had at most 2 classes is the number of students with exactly one class (90) and exactly 2 classes (20) AND the ones without any of these 3 classes : 90 + 20 + 18 = 128
128 students took at most 2 courses.
we could have gotten this also by saying all the students not taking all 3 classes : 150 - 22 = 128
(c)
the original assumption was that 150 students did at least one of the classes. but that was wrong.
we found that 18 students did not attend any of the classes.
that means that
150 - 18 = 132
132 students took at least one of the courses.
The points A, B and C have position vectors a, b, c, referred to an origin O. i. Given that the point X lies on AB produced so that AB : BX = 2 : 1, find x, the position vector of X, in terms of a and b. ii. If Y lies on BC, between B and C so that BY : Y C = 1 : 3, find y, the position vector of Y, in terms of a and b iii. Given that Z is the midpoint of AC, Calculate the ratio XY : Y Z.
i. The position vector of X is 2b - a.
ii. The position vector of Y is (3b + c)/4.
iii. The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.
i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.
ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.
iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).
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Help with this ASAP thanks
Answer:
15/70, first option
Step-by-step explanation:
if you multiply the numerators and denomenators together, you get 15/70. you're able to reduce this, but it looks like the answer doesn't want you to reduce it :)
=======================================================
Explanation:
We multiply the numbers across the top (numerator) to get 3*5 = 15
Then across the bottom (denominator), we multiply the values to get 10*7 = 70
So we get \(\frac{3}{10}\times\frac{5}{7} = \frac{3\times 5}{10\times7} = \frac{15}{70}\)
That's how we end up with 15/70
------------------------------
Extra info:
Note how 15 and 70 have the GCF 5, so we can divide both values by 5
15/5 = 370/5 = 14This means 15/70 reduces to 3/14; however, your teacher has decided not to reduce (since 3/14 is not one of the answers). So that means we should stick with 15/70 instead.
Using the given information, find the mean, median, and mode.
To calculate the mean, median, and mode, we first need to know what each of these terms represents. The mean, also known as the average, is the sum of all the values divided by the total number of values. To find the mean, add up all of the values and divide by the number of values. The median is the middle value in a set of data when it is arranged in order from least to greatest. The mode is the value that occurs most frequently in a set of data. Here's an example to illustrate these concepts:
Let's say we have a set of data consisting of the following values: 2, 5, 5, 7, 8, 10, 12. To find the mean, we add up all of the values and divide by the number of values. In this case, the sum of the values is 49 (2+5+5+7+8+10+12) and there are 7 values, so we divide 49 by 7 to get the mean, which is approximately 7. To find the median, we first need to arrange the data in order from least to greatest: 2, 5, 5, 7, 8, 10, 12. The middle value is 7, so that is the median. To find the mode, we look for the value that occurs most frequently. In this case, 5 occurs twice, which is more than any other value, so the mode is 5.
In conclusion, the mean, median, and mode are all measures of central tendency that can be used to describe a set of data. The mean is the average value, the median is the middle value, and the mode is the value that occurs most frequently. When calculating these measures, it is important to carefully consider the data and choose the appropriate method for finding each value.
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The composite figure is made up of a___a0___a1 on top of a___a2___.a3
Answer:
The composite figure is made up of a rectangular prism on top of a rectangular prism.
Step-by-step explanation:
The figure on top is a rectangular prism. It is a 6 sided figure with each side a rectangle. The figure on bottom is also a rectangular prism. It is a 6 sided figure with each side a rectangle.
how many solutions does the system have 6x+3y=-12 y=-2x+4
Answer: No solutions
Step-by-step explanation: These equations, when done by substitution, end up not equaling each other.
I need help pls pls pls
Answer:
e. 55 miles hope that helped
PLZ HELP I NEED AWNSERS ASAP
a statistical question anticipates that answers will vary. which of these are examples of statistical questions?
A) how many computers are in the school's lab?
B) how many letters are in the wrong direction?
C) what are the favorite books of each member of the book club?
D) how many people volunteered to help at the community's Christmas
E) how many video games were purchased last year by each student in Mr.hills math class
E.
It gives a very precise question which will give much data.
Which equation is not a linear function?
Answer:
y = x³ is not a linear function.
Answer:
y = x³
Step-by-step explanation:
if it has a power it'll always be a curved graph
In which
situation can the Expression
on 8×2 be used to find the total number of head wraps on the shelf
The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.
What is expression?Expression in mathematics is a combination of symbols and numbers, often using an operation, such as addition, subtraction, multiplication, or division. It can represent a number, a variable, a function, or a mathematical statement. It can also represent a combination of these things. Expressions are used to describe relationships between numbers, variables, and mathematical concepts.
The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and there are 2 shelves in total. This expression can be used to calculate the total number of head wraps on the shelves by multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves). As such, the expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.
In conclusion, the expression 8x2 can be used to calculate the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total. By multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves), the total number of head wraps on the shelf can be found, resulting in a total of 16 head wraps.
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Complete questions as follows-
In which situation can the Expression
on 8×2 be used to find the total number of head wraps on the shelf?
A phone company offers two monthly plans. Plan A costs $ 20 plus an additional $0.12 for each minute of calls. Plan B costs $13 plus an additional $0.17 A) For what amount of calling do the two plans cost the same?B) What is the cost when the two plans cost the same?
Let:
• y, be the cost of the plan
,• x, be the minutes spend on call
This way, we'll have:
Plan A:
\(y=0.12x+20\)Plan B:
\(y=0.17x+13\)If the two plans cost the same, we'll have that:
\(0.12x+20=0.17x+13\)Solving for x :
\(\begin{gathered} 20-13=0.17x-0.12x \\ \rightarrow7=0.05x \\ \rightarrow\frac{7}{0.05}=x \\ \\ \Rightarrow x=140 \end{gathered}\)A) The two plans will cost the same for 140 minutes on call
The cost will be:
\(\begin{gathered} y=0.12(140)+20 \\ \Rightarrow y=36.8 \end{gathered}\)B) $36.80