The statement that the dimension of the vector space M5 × 3 is 15 is false.
The statement that the dimension of the vector space M5 × 3 is 15 is false.
In general, the dimension of a vector space is the number of linearly independent vectors that can be used to span the space.
The vector space M5 × 3 consists of all matrices with 5 rows and 3 columns, which is a set of 15 entries per matrix.
However, the dimension of M5 × 3 is not simply 15 because not all matrices in M5 × 3 are linearly independent.
In order to find the dimension of the vector space M5 × 3, one needs to consider the rank of the matrices in M5 × 3.
Since the rank of a matrix is the maximum number of linearly independent rows or columns in the matrix, it follows that the dimension of M5 × 3 is the minimum of the rank of its matrices.
It turns out that the maximum rank of a matrix in M5 × 3 is 3, which implies that the dimension of M5 × 3 is 3.
Hence, the statement that the dimension of the vector space M5 × 3 is 15 is false.
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You saved $20 per week to purchase one of three bikes in the store near your home. The starting price for the bikes is $130.
Write and solve an equation to find the numbers of weeks you need to save money to purchase a bike.
Your parents give you $60 to help you buy the new bike. How does this change your answer to part 1? Explain.
Answer:
4 weeks
Step-by-step explanation:
basic math
Answer:
6.5 weeks without parental help, 3.5 weeks with help from your parents.
Step-by-step explanation:
The Equation is:
Y = 20x
Y = Starting price for bikes
X = # of weeks
Therefore:
$130 = 20x
This can be simplified by solving for x
x = 130/20
x = 6.5 weeks
If your parents gave you $60 to help buy the bike the equation would be written as:
Y = 20x + 60
$130 = 20x + 60
Subtract 60 from both sides to get:
$70 = 20x
Solve for x
x = 70/20
x = 3.5 weeks
in 5-8, find each reciprocal. 5/9 8 7/3 1/12
the answer
155
324
5/9 (87/3(1/12)= 155/324
-3X + 12 > 48
Answers
A)X>12
B)X>-12
C) c<12
D)x<-12
Answer:
d: x less than -12
Step-by-step explanation:
negative times negative equals positive so 12 x 3 equals 36 + 12 = 48. Your welcome (pls give brainliest)
Joanna is reading a storybook. The
ratio of the number of pages she read
to the pages that remain to be read is
7:3. If the book contains 500 pages in
all, how many pages did Joanna read?
Answer:
350
Step-by-step explanation:
Let 7:3 be 7x and 3x respectively. Given,
7x + 3x = 500
10x = 500
x = 50
:. 7x = 7 × 50 = 350
Hello hope all is well with you can you check to see if am doing this right please
In the section a, Yes, you are doing well, you must do the count of how many people per area are infected, and the method of underlining is very good.
In the conclusions you can say that which was the area with the highest contagions. Other conclusion may be which was the area with the least contagions. And you can tell what is the difference in infections in the area with the highest and lowest infections.
Find the point on the line y = 8x - 5 closest to the point (0, – 6). The function giving the distance between the point and the line is S = ? (Enter a function of x)
The function giving the distance between the point (0,-6) and the line y = 8x - 5 is: S = 47 / sqrt(65).
To find the point on the line closest to the point (0,-6), we can find the perpendicular distance from the point (0,-6) to the line y = 8x - 5. The point on the line closest to (0,-6) will be the point on the line that is intersected by the perpendicular line.
The slope of the given line is 8, so the slope of any line perpendicular to it will be -1/8. Let (a,b) be the point on the line y = 8x - 5 that is closest to (0,-6). The equation of the line passing through (0,-6) with slope -1/8 is:
y + 6 = (-1/8)x
Simplifying this equation, we get:
y = (-1/8)x - 6
The point (a,b) will lie on both the given line and the perpendicular line. Therefore, we can substitute y = 8x - 5 in the equation y = (-1/8)x - 6 to obtain:
8x - 5 = (-1/8)x - 6
Solving for x, we get:
x = 37/65
Substituting x = 37/65 in y = 8x - 5, we get:
y = 231/65
Therefore, the point on the line y = 8x - 5 closest to the point (0,-6) is (37/65, 231/65).
The distance S between the point (0,-6) and the line y = 8x - 5 can be found by using the formula:
S = |ax + by + c| / sqrt(a^2 + b^2)
where a, b, and c are the coefficients of the general form of the line equation, which is ax + by + c = 0.
In this case, the equation of the line is y - 8x + 5 = 0. Therefore, a = -8, b = 1, and c = 5. Substituting these values in the formula for S, we get:
S = |(-8)(0) + (1)(-6) + 5| / sqrt((-8)^2 + 1^2)
= 47 / sqrt(65)
Therefore, the function giving the distance between the point (0,-6) and the line y = 8x - 5 is:
S = 47 / sqrt(65)
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Please answer this question now in two minutes
Answer:
y=x+5
Step-by-step explanation:
Find the slope this is my last question hurry ASAP D:
Answer:
-12
Step-by-step explanation:
5-17=-12
-1-(-2)=1
-12/1
-12
HI PLS HELP ME ON MY MATH HOMEWORK I WILL ALSO GIVE BRAINLIEST
The correct alternative, based on the parallel, triangle sum, and isosceles triangle criteria, is 2.
How to spot the correct optionAlternative 1
Since the base angle of an isosceles triangle is 52 degrees, let's say the third angle is x, and according to the triangle sum property,
x + 2 * 52 = 180,
x = 76.
triangle at the base
32 + 2x = 180 (triangle sum property for isosceles triangle)
x = 74
In accordance with the triangle sum property for isosceles triangles, the figure demonstrates that the base angle of the triangle at its base is also equal to 76.
False choice: Angles 74 and 76 are not equal.
Alternative 2:
x + 2 * 76 = 180 (triangle sum property for isosceles triangle)
x = 28
The diagram demonstrates that the triangle at the base angle has angle = 28.
124 + 2x = 180 (triangle sum property for isosceles triangle)
x = 28
Since the two angles 28 and 28 are equivalent, the choice is correct.
Alternative 3
wood you believe it, I past plain geometry - wrong
would you believe it, I passed plain geometry - correct
Alternative 4
The parallelogram's isosceles triangle, with a base angle of 27,
Using the alternate internal angle theorem, 29's base angle is displayed.
at same point as 27 and both angles are not being equal.
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if my y-int is (5,0) and my x-int is (0,80) what is my vertex??
PLEASE HELP ME
The vertex of the Quadratic function with a y-intercept of (5, 0) and an x-intercept of (0, 80) is located at the point (0, 0).
The vertex of a quadratic function given the y-intercept and x-intercept, we need to determine the axis of symmetry, which is the line that passes through the vertex. The x-coordinate of the vertex will be the midpoint between the x-intercepts, while the y-coordinate will be the same as the y-intercept.
Given that the y-intercept is (5, 0) and the x-intercept is (0, 80), we can determine the x-coordinate of the vertex by finding the midpoint of the x-intercepts. The x-coordinate of the midpoint is simply the average of the x-values:
x-coordinate of vertex = (0 + 0) / 2 = 0 / 2 = 0
Since the y-coordinate of the vertex is the same as the y-intercept, the vertex will have the coordinates (0, 0).
Therefore, the vertex of the quadratic function is (0, 0).
In conclusion, the vertex of the quadratic function with a y-intercept of (5, 0) and an x-intercept of (0, 80) is located at the point (0, 0).
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ryder hiked no more than 8 miles inequality
Answer:
(the letter 'x' represents the amount of miles he hiked)
x≤8
Seven less than the product of 13 and Chau's savings. Use the variable c to represent Chau's savings.
Answer: 13xc-7
Step-by-step explanation:
A high correlation coefficient (either positive or negative) indicates that...
A. a third factor or variable is always responsible for the relationship between the two variables
B. there is a high level of consistency between the two variables
C. the scores on the two variables are nearly identical
D. a change in one variable causes a change in the second variable
A high correlation coefficient (either positive or negative) indicates that there is a high level of consistency between the two variables. The correct option is B. Correlation is a statistical method used to measure the strength and direction of the relationship between two variables.
When one variable increases as the other increases, this is known as a positive correlation. In contrast, when one variable decreases as the other increases, this is known as a negative correlation. Correlation Coefficient: Correlation coefficients are used to quantify the relationship between two variables. The range of values for the correlation coefficient is -1.0 to 1.0. A value of 1.0 represents a perfect positive correlation, indicating that as one variable increases, the other also increases in a linear fashion. A value of -1.0 indicates a perfect negative correlation, indicating that as one variable increases, the other decreases in a linear fashion. A value of 0.0 indicates that there is no correlation between the variables. The stronger the correlation, whether positive or negative, the closer the correlation coefficient is to 1 or -1.
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need help willing to give brainliest
Answer:
4^3 ➡ 4 × 4 × 4 ➡ 64
4^2 ➡ 4 × 4 ➡ 16
4^1 ➡ 4 ➡ 4
Step-by-step explanation:
The exponent represents how many times you're multiplying the base number by its self.
For example: In the first row, that's already filled in, 4^4 is the same as 4 × 4 × 4 × 4, not because you are multiplying 4 by the exponent, but because you're multpying 4 by its self 4 times.
(The same goes for the rest of the numbers.)
Hope this helps :)
Pearson correlations shows the greatest strength or consistency of relationship?
Because r must be between -1.00 and +1.00 and the closer to either indicates a stronger relationship, the strongest must be -0.74. It is a strong negative correlation.
Any statistical association, whether causal or not, between two random variables or bivariate data is referred to in statistics as correlation or dependency. A statistical measure known as correlation expresses how closely two variables are related linearly (meaning they change together at a constant rate). It's a typical technique for describing straightforward connections without explicitly stating cause and consequence.
A relationship between two variables is said to have a positive correlation when both variables move in the same direction. Consequently, when one variable rises as the other rises, or when one variable falls while the other falls. The link between height and weight is a good example.
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When you multiply a mixed number by ___________ ,the product is equal to the mixed number. What do you put in the blank?
Answer:
1
Step-by-step explanation:
because 1/2 time 1 = 1/2
Mixed number is the combination of the whole number and the proper fraction. One is integer and other is fraction in a mixed number. When you multiply a mixed number by another mixed number the product is equal to the another mixed number. For exact same mixed number, when you multiply a mixed number by one number the product is equal to the mixed number.
What is mixed number?Mixed number is the combination of the whole number and the proper fraction. One is integer and other is fraction in a mixed number. As it is the combination of two types of number thus it is known as mixed number.
Mixed number are used to count the whole and part of a thing together.
For example five and a half of a thing can be written as,
\(5+\dfrac{1}{2} =5\dfrac{1}{2}\)
Now when a mixed number is multiplied by the another mixed number the product of both is a another mixed number.
For example let multiply 2 and a half with 3 and a half. The result is,
\(2\dfrac{3}{2} \times3\dfrac{3}{2} =\dfrac{7}{2} \times \dfrac{9}{2}\)
\(2\dfrac{3}{2} \times3\dfrac{3}{2} =\dfrac{63}{4}\)
\(2\dfrac{3}{2} \times3\dfrac{3}{2} =15\dfrac{3}{4}\)
Thus when you multiply a mixed number by another mixed number the product is equal to the another mixed number.
If the product should be equal to the given mixed number thus it need to be multiplied by the one. Thus when you multiply a mixed number by one number the product is equal to the mixed number.
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What is the scale factor
Answer:
1.5
Step-by-step explanation:
18/12 = 1.5
Answer: LM
Step-by-step explanation:
subtract and the use PEMDAS
14 The people working for a company work in Team A or in Team B. number of people in Team A: number of people in Team B = 3/4; 4/5 of Team A work full time. 24% of Team B work full time. Work out what fraction of the people working for the company work full time. Give your fraction in its simplest form.
Answer:
Let's denote the number of people in Team A as a, and the number of people in Team B as b. From the problem, we know that:
a/b = 3/4
Now, we also know that 4/5 of Team A and 24% (or 24/100 = 6/25) of Team B work full time. So, the number of people working full time from Team A is 4a/5 and from Team B is 6b/25.
The total number of people working for the company is a + b, and the total number of people working full time is 4a/5 + 6b/25.
We are asked to find the fraction of people working full time, which can be represented as:
(4a/5 + 6b/25) / (a + b)
Firstly, we need to have a common denominator for the fractions, so we can express 4a/5 as 20a/25:
\((20a/25 + 6b/25) / (a + b)\)
Simplifying, we can write this as:
\((20a + 6b) / (25(a + b))\)
Now, since we know a/b = 3/4, we can substitute a = 3b/4 in the above expression:
\((20*(3b/4) + 6b) / (25((3b/4) + b))\)
Simplifying the above, we get:
\((15b + 6b) / (25((3b/4) + b)) = 21b / 25b\)
So, the fraction of people working full time is 21/25.
question in picture
correct answer marked brainliest
need help with trigonometry
Answer:
\(\sf \tan(A) & =\dfrac{9\sqrt{22}}{44}\)
Step-by-step explanation:
If angle C is the right angle, then side c is the hypotenuse.
Use Pythagoras' Theorem \(a^2+b^2=c^2\) to find the length of side a:
Given:
b = 2√22c = 13\(\implies a^2+(2 \sqrt{22})^2=13^2\)
\(\implies a^2+88=169\)
\(\implies a^2=81\)
\(\implies a=\sqrt{81}\)
\(\implies a=9\)
Tan Trig Ratio
\(\sf \tan(\theta)=\dfrac{O}{A}\)
where:
\(\theta\) is the angleO is the side opposite the angleA is the side adjacent the angleGiven:
\(\theta\) = AO = side opposite angle A = a = 9A = side adjacent angle A = b = 2√22\(\begin{aligned}\implies \sf \tan(A) & =\dfrac{9}{2\sqrt{22}}\\\\ & =\dfrac{9}{2\sqrt{22}} \times \dfrac{\sqrt{22}}{\sqrt{22}}\\\\ & = \dfrac{9\sqrt{22}}{44} \end{aligned}\)
Answer:
\(\boxed{ \sf \bold{tanA = \frac{9}{2\sqrt{22} } }}\)
Given:
c = 13b = 2√22=============
Formula's:
tan(x) = opposite/adjacent : tane rulea² + b² = c² : Pythagoras Theorem=============
To find Tan A, first find opposite side of angle A and adjacent side which is already given of 2√22
=============
Opposite side:
(2√22)² + b² = 13²b² = 169 - 88b² = 81b = √81b = 9Now find tan A:
tanA = 9/2√22
A local charity collected 163 cans of food
every day for 14 days. How many cans did they collect
in the first 10 days? How many did they collect in the
remaining 4 days? How many cans did they collect in
all? Solve this problem any way you choose!
Answer:
This was $14 less than twice what she spent for a blouse . How much ... From the first two equations, we have A=12B=12(3C)=32C ... How many days will it require for the son to plow the field alone?
Step-by-step explanation:
Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $136. Two adults and three children must pay $97. Find the price of the adults
ticket and the price of a child's ticket.
The price of an adult ticket is $20
The price of a child's ticket is $19
How to calculate the price of an adult and child ticket ?Let x represent the price of a child ticket
Let y represent the price of an adult ticket
Three adults and four children must pay 136
3y + 4x= 136.........equation 1
Two adults and three children must pay $97
2y + 3x= 97.........equation 2
From equation13 1
3y+4x= 136
3y= 136-4x
y= 136-4x/3
Substitute 136-4x/3 for y in equation 2
2(136-4x) + 3x= 97
272-8x/3 + 3x/1= 97
272-8x+9x/3= 97
cross multiply
272-8x+9x=291
collect the like terms
-8x+9x= 291-272
x= 19
Substitute 19 for x in equation 1
3y+4x= 136
3y + 4(19)= 136
3y+ 76= 136
3y= 136-76
3y=60
y= 60/3
y= 20
Hence children tickets cost $19 and adult tickets cost $20
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WILL GIVE BRAINLIEST!! NEED ANSWERS!!
1. -12x = -6
2. -15x=5
3. X+4= -13
4. -x+6= -3
5. -2x+4 = -10
6. -18x-2= 6
7. 20x-4= -2
8. 2(4x-2) = -2
9. -2 ( 3x+4) = -2
10. - (x+3) = -10
1. x=-6+12 = 6
2. x=5+15 = 20
3.x =-13-4= -17
4. -x= -3-6 = -9
x=9
5. 2x = -10-4
2x = -14
x =-14/2 =-7
6. -18x=6+2
-18x =8
x=8+18 = 26
7. 20x =-2+4
20x =2
x=2/20 =1/10
8. 8x -4 =-2
8x = -2+4
8x =2
x =2/8 = 1/4
9. -6x - 8 =-2
-6x = -2+8
-6X = 6
X = 6/-6 = 1/-1
10. -X - 3 =-10
-X = -10 +3
-x = -7
x = 7
Pleaze i need help i REALLY need help im REALLY suffered ToT
Answer:
estimating your answer doesn't always have to be right it's just a simple guess
The centerline of two straights is projected forward to meet at Point of Intersection, whose chainage is 3276.78 m and the deflection angle being 30° 00 00". The straights are to be connected by a circular curve of radius 200 m, and is to be set by 20 m standard chord, using Rankine's method. Calculate,
(i) Tangent length
(ii) Chainage at the Point of Curve
(iii) First subchord
(iv) Curve length
(v) Chainage at the Point of Tangency
(vi) Second subchord
(vii) Number of Full chords
(viii) Chords due to first, second and third subchord.
(ix) Midordinate
(x) External distance
Use π = 3.1416
(i) tangent length is 64.99 m, (ii) 3359.77 m, (iii) 19.12 m, (iv) 126.08 m, (v) 3485.85 m, (vi) 20 m, (vii) 6, (viii) 12.94 m, 10 m, and 8.06 m, respectively, (ix) 0.65 m, (x) 0.52 m.
To calculate the values, we can use the following formulas:
(i) Tangent length:
Tangent length = (Radius of curve) × tan(Deflection angle/2)
Tangent length = 200 × tan(15°)
Tangent length = 200 × 0.2679
Tangent length = 53.58 m (rounded to 2 decimal places)
(ii) Chainage at the Point of Curve:
Chainage at the Point of Curve = Chainage at Point of Intersection + Tangent length
Chainage at the Point of Curve = 3276.78 m + 53.58 m
Chainage at the Point of Curve = 3359.36 m (rounded to 2 decimal places)
(iii) First subchord:
First subchord = Standard chord - Tangent length
First subchord = 20 m - 53.58 m
First subchord = -33.58 m (negative indicates a deflection angle greater than 90°)
(iv) Curve length:
Curve length = (Deflection angle/360°) × (2π × Radius of curve)
Curve length = (30°/360°) × (2π × 200)
Curve length = (1/12) × (2π × 200)
Curve length = 104.72 m (rounded to 2 decimal places)
(v) Chainage at the Point of Tangency:
Chainage at the Point of Tangency = Chainage at the Point of Curve + Curve length
Chainage at the Point of Tangency = 3359.36 m + 104.72 m
Chainage at the Point of Tangency = 3464.08 m (rounded to 2 decimal places)
(vi) Second subchord:
Second subchord = Standard chord - First subchord
Second subchord = 20 m - (-33.58 m)
Second subchord = 53.58 m
(vii) Number of Full chords:
Number of Full chords = Curve length / Standard chord
Number of Full chords = 104.72 m / 20 m
Number of Full chords = 5.236 (rounded to 3 decimal places)
Number of Full chords = 6 (rounded to the nearest whole number)
(viii) Chords due to first, second, and third subchord:
Chords due to first subchord = First subchord × (Number of Full chords - 1)
Chords due to first subchord = -33.58 m × (6 - 1)
Chords due to first subchord = -167.9 m (rounded to 1 decimal place)
Chords due to second subchord = Second subchord × 2
Chords due to second subchord = 53.58 m × 2
Chords due to second sub
chord = 107.16 m
Chords due to third subchord = Standard chord - First subchord - Second subchord
Chords due to third subchord = 20 m - (-33.58 m) - 53.58 m
Chords due to third subchord = 107.16 m
(ix) Midordinate:
Midordinate = Radius of curve - (Chords due to first subchord + Chords due to second subchord + Chords due to third subchord)
Midordinate = 200 m - (-167.9 m + 107.16 m + 107.16 m)
Midordinate = 63.7 m (rounded to 2 decimal places)
(x) External distance:
External distance = Radius of curve - Midordinate
External distance = 200 m - 63.7 m
External distance = 136.3 m (rounded to 2 decimal places)
Therefore, the values are as follows:
(i) Tangent length = 53.58 m
(ii) Chainage at the Point of Curve = 3359.36 m
(iii) First subchord = -33.58 m
(iv) Curve length = 104.72 m
(v) Chainage at the Point of Tangency = 3464.08 m
(vi) Second subchord = 53.58 m
(vii) Number of Full chords = 6
(viii) Chords due to first, second, and third subchord = -167.9 m, 107.16 m, 107.16 m
(ix) Midordinate = 63.7 m
(x) External distance = 136.3 m
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PLEASE HELP ME Ashley has a movie rental card worth $75. After the first rental the card's value is
$72.25. After she rents the second movie the value of $69.50. After she rents the third.
the card's value is $66.75. Assuming this pattern continues what the equation to
determine the card's value A after n rentals. Then after 10 rentals what is the card's
value?
I dont understandquestion a)
Answer:
add all of the vegetables she bought
Step-by-step explanation:
(8x-7)+5 when x is 2
Answer:
If X=2 then the equation would be solved starting with 8x2=16 then take 16 and subtract it by 7 which would equal 9, then you take 9 and add 5 to it and that would give you the answer of 14
Step-by-step explanation:
(8x-7)+5 x=2
(8x2-7)+5
(16-7)+5
9+5
Answer 14
I hope this helps you
Which set of side lengths would notform a triangle?A.3 cm, 4 cm, 5 cmC.10 cm, 12 cm, 24 cmB.6 cm, 8 cm, 10 cmD.12 cm, 15 cm, 26 cm
Answer: 3, 4, 5
Step-by-step explanation:
I need help with this question
Answer:
4.5 . ^14
Step-by-step explanation:
dont cheat in tests next time not everyone is as kind as me
Answer:
It would be 4.5 x 10^14
Step-by-step explanation:
Just multiply the decimals and for the exponents, you add them.