Answer:
(-5,-4)
as 90 degree rotation counter clockwise would land in the third quaderant where both x and y are negative
the dimensions of col a and nul a add up to the number of columns in a.
a. true
b. false
Using Rank theorem , the dimensions of col A and Null A add up to the number of colmns in A. It is true statement.
The rank of matrix A denoted as rank(A) is the dimension of the column space Col(A).
The nullity of matrix A written as nullity(A) is the dimension of the null space Nul(A)
Rank Theorem:
If A is a matrix with n columns, then
Rank (A) + nullity (A) = n
In other words we can say that
dim (Col(A) ) in column space + dim (Nul(A)) in empty space = total number of columns in A
The rank theorem is really important theorem.
It is gives a strong relationship between the Null space ( all possible vector x such that Ax = 0) and the column space (the set of vectors b matching Ax=b) explain the two main objectives. The more freedom we have for choosing x, the less freedom we have for choosing b, and vice versa.
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Sparx homework
I really need help on how to solve this!
Answer:
a] 5 dogs
b] 16 dogs
Step-by-step explanation:
The minimum number of dogs that could have a mass of more than 26 kg is 5. This is because dogs with a mass of 30 ≤ x ≤ 40 have a frequency of 5. The dogs in the 20 ≤ x ≤ 30 range could be more than 26 kg, but they could also be less than 26 kg, so these are not included in the minimum.
The maximum number of dogs that could have a mass of 26 kg is 16 because both dogs in the 30 ≤ x ≤ 40 range (5) and 20 ≤ x ≤ 30 range (11) could weigh more than 26 kg. 11 + 5 = 16, giving us our answer for the maximum.
A company claims that the mean weight per apple they ship is 120 grams with a standard deviation of 12 grams. Data generated from a sample of 49 apples randomly selected from a shipment indicated a mean weight of 122. 5 grams per apple. Calculate and interpret a 95% confidence interval for the mean weight per apple.
The 95% confidence interval for the average apple weight is (119.14, 125.86).
An apple typically weighs 120 grams with a 12-gram standard deviation, according to one manufacturer. The average weight of an apple was 122. 5 grams, according to statistics created from a sample of 49 apples that were randomly chosen from a shipment.
Let, n = 49
x = 122.5
σ = 12
To calculate and interpret a 95% confidence interval for the average apple weight, use the formula;
⇒ (x ± 1.96*σ/√n)
⇒ (122.5 ± 1.96*12/√49)
⇒ (119.14, 125.86)
Consequently, the average apple weight has a 95% confidence interval of (119.14, 125.86).
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What is the value of x? Show your work. 20x⁰ 8x° 17x
PLEASE I NEED HELP
Answer:
x = 8
Step-by-step explanation:
the exterior angles of a triangle sum to 360° , that is
20x + 8x + 17x = 360
45x = 360 ( divide both sides by 45 )
x = 8
If there are 20 boxes of bicycles/tricycles total and 48 wheels total how many tricycles were ordered?
write and graph a system of linear equations to model the situation
The system of equations is:
x + y = 20
2x + 3y = 48
And its graph can be seen in the image at the end.
How to write and solve the system of equations?Let's define the variables:
x = number of boxes with a bicycley = number of boxes with a tricycle.Each bicycle has 2 wheels, each tricycle has 3 weels, and we know that there are 20 boxes and 48 wheels, then the system of equations is:
x + y = 20
2x + 3y = 48
To solve the system graphically we just need to graph both lines on the same coordinate axis and see at which point do the lines intersect, the graph is below.
The solution is x = 12, y = 8.
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Evaluate the expression when a = -6 and y=4. y-9a
(can someone help? I'm not used to how this is formatted.)
Answer: 58
Step-by-step explanation:
First you substitute the values, so
4-9*-6
Then you solve using order of operations
Answer:
58
Step-by-step explanation:
y-9a
Let a = -6 and y=4
Substitute the values in
4 -9(-6)
Multiply first
4 + 54
Add
58
Of the 250 sheep in a flock, 34% are white. What is the total number of white sheep in the flock?
Question 10(Multiple Choice Worth 2 points)
(Adding and Subtracting with Scientific Notation MC)
Simplify (3.7 x 10-9) - (8.2 x 10-8). Write the final answer in scientific notation.
O-7.83 x 10-8
-7.83 x 10-9
O-4.5 x 10¹
O-4.5 x 10-¹
The simplified value of (3.7 x 10^-9) - (8.2 x 10^-8) in scientific notation is - 7.83 x 10^-8. Option A is correct.
We will solve the given expression using laws of exponents.
Some laws of exponents are:
(a²) · (a³) = a²⁺³ = a⁵(a²)³ = a²ˣ³ = a⁶(a²) ÷ (a³) = a²⁻³ = a⁻¹a⁻¹ = 1 / aWe are given:
(3.7 x 10^-9) - (8.2 x 10^-8)
= (3.7 x 10^(-1 -9)) - (8.2 x 10^-8)
= (3.7 x 10^-1 x 10^-8) - (8.2 x 10^-8)
= (0.37 x 10^-8) - (8.2 x 10^-8)
= (0.37 - 8.2) x 10^-8
= - 7.83 x 10^-8
So, the simplified value of (3.7 x 10^-9) - (8.2 x 10^-8) is - 7.83 x 10^-8.
Thus, the simplified value of (3.7 x 10^-9) - (8.2 x 10^-8) in scientific notation is - 7.83 x 10^-8. Option A is correct.
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(-8,-4), (-1, -3), and (0, -2).
How do I graph this ?
Answer:
Refer to photo for drawing
Step-by-step explanation:
1. Draw the x y plane
2. Identify -8, -1, 0 on x plane
3. Identify -4, -3, -2 on y plane
4. Mark the intersection point (-8,-4) with x
5. Mark the intersection point (-1,-3) with x
6. Mark the intersection point (0,-2) with x
7. Draw a straight line through the x mark
hey not a question but how do you ask questions with a picture on here
Answer:
the one that looks like a paper clip
Step-by-step explanation:
McKenzie found a correlation coefficient on a set data to be -0.20 which term describes the correlation ?
weak positive
strong negative
strong positive
weak negative
Weak positive term describes the correlation .
What does a weak positive indicate?
Negative correlation does not necessarily indicate a weak correlation between two variables. Although both variables have a tendency to rise in response to one another, a weak positive correlation suggests that the relationship between the two is not very strong.A weak positive graph is what?
Dots are used to indicate values for various numerical variables in a scatter plot, sometimes referred to as a scatter graph or scatter chart. One can see that there is a slight increase in the value of Y as the value of X increases, demonstrating a weak positive correlation.Learn more about weak positive
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527.8317 Find the digits in the tens place, in the hundredths place, and in the thousandths place for the following number.
Please someone help me with the answers I need help
Answer:
x+6, y+2
Step-by-step explanation:
x goes left and right, y goes up and down. the little ' means that is the line after translation, so w and y are the originals, and w' and y' are after the translation. Add 6 to x(left and right) (negative sign means left and positive sign or no sign means right), so go 6 to the right, and add 2 to y, so go up two (negative sign means to go down, and positive or no sign means to go up)
how many thousandths are in one hundredth
Answer:
ten thousands
Step-by-step explanation:
Ten thousandths are in one hundredth.
What is fraction?
Fractions represent parts of a whole. In mathematics, fractions are represented as numbers that define part of a whole. A fraction can be a part or subset of any quantity of a whole, and a whole can be any number, value, or thing.
All fractions consist of a numerator and a denominator, separated by horizontal bars called fraction bars.
The denominator indicates the number of parts into which the whole is divided. Placed at the bottom of the break below the break bar. The
counter indicates how many sections of the fraction are displayed or selected. Placed at the top of the break above the break bar.
As we know ,
one hundredth is 1/100
one thosandth is 1/1000
But now , 10 × 1/1000 = 1/100
This means that there are 10 thousandths in one hundredth.
Hence, ten thousandths are in one hundredth.
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Over the set of real numbers, what is the domain of the composite function
G(F(x))?
F(x) = -x-3, G(v) = √y
G(F(x)) = √√-3-x
OA. x>-3
OB. xs-3
C. x2-3
O D. All real numbers
The domain of the composite function is - x - 3 ≥ 0 , x ≤ -3 .
The correct answer is (B).
Given,
In the question:
Over the set of real numbers.
F(x) = -x-3, G(v) = √y
G(F(x)) = √√-3-x
To find the domain of the composite function.
Now, According to the question:
Based on the given conditions:
The domain of F(x) = -x -3 is all real numbers.
The domain of
G(v) = √y is y ≥ 0
{The relationship of the domain of a composite function and the original functions}
So, - x - 3 ≥ 0 , x ≤ -3
Hence, The domain of the composite function is - x - 3 ≥ 0 , x ≤ -3 .
The correct answer is (B).
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(2,-2) and (0,-1)
what is the linear equation
The linear equation of the given points (2, -2) and (0, -1) is y = (-1/2)x - 1
The first point = (2, -2)
The second point = (0, -1)
The slope of the line m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the values in the equation
The slope of the line m = (-1 - -2) / (0 - 2)
= -1+2 / -2
= 1 / -2
= - 1/2
The slope intercept form is
y = mx + b
Where m is the slope of the line
b is the y intercept
The point slope form is
[tex]y-y_1=m(x-x_1)[/tex]
Substitute the values in the equation
y - -2 = (-1/2) (x-2)
y + 2 = -1/2 x + 1
y = (-1/2)x + 1 -2
y = (-1/2)x - 1
Hence, the linear equation of the given points (2, -2) and (0, -1) is y = (-1/2)x - 1
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Can someone please help
Answer:
The measure of angle 1=52
The measure of angle 2=58
The measure of angle 3=31
Step-by-step explanation:
The measure of angle 1 is 52 because the angle out of the triangle is 128. The measure of angle 1 plus 128 equals 180. Using this info you could do 180-128, which equals 52. The measure of angle 1 equals 52.
The measure of angle 2 is 58 because I already know 2 of the values of the triangle, in which Angle 2 is also in. One triangle adds up to 180. The values of the other 2 angles are 52 and 70. Using this information I can use the equation 52+70+x=180, which you then simplify to 122+x=180. X equals 58. The measure of angle 2 equals 58
The measure of angle 3 is 31 because the angle out of the triangle is 70. The missing angle plus 70 equals 180. Using this info I could do 180-70. The missing angle is 110. There is already one given angle, and I have figured out the other, using this info I can now finally find the measure of angle 3. I can find this out by using the equation 110+39+x=180. You would then simplify the equation to 149+x=180. X equals 31. The measure of angle 3 equals 31.
y=-.06(5.5-1)(5.5-10)
Answer:
I don't know if its right.
Ans:1.215
A collector of hand-woven rugs has an oval rug that is 42 years old and a circular rug that is 14 years old. How many years ago was the oval rug five times as old as the circular rug was then?
i need an equation plsss help.
Answer:
7
Step-by-step explanation:
find the exact values of sin 2u, cos 2u, and tan 2u using double-angle formulas.
13.) sin u=3/5, 0 < u < pi/2
15.) tan u= 1/2, pi < u < 3pi/2
The exact values are sin2u=36/25, cos2u=-3.142 and tan2u=sin2u/cos2u
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given,
sin u=3/5, 0 < u < pi/2
tan u= 1/2, pi < u < 3pi/2
We need to find sin 2u, cos 2u, and tan 2u
sin2u=2sinucosu
tanu=sinu/cosu
1/2=3/5/cosu
cosu=3/5×2
cosu=6/5
So sin2u=2(3/5)(6/5)
sin2u=36/25
cos2u=1-2sin²u
=1-2(36/25)²
=1-2(1296/625)
=1-4.14
=-3.142
cos2u=-3.142
tan2u=sin2u/cos2u
Substitute the values of sin2u and cos2u
sin2u=36/25/(-3.142)
=1.44/-3.142
=-0.458
Hence, the exact values are sin2u=36/25, cos2u=-3.142 and tan2u=sin2u/cos2u
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Adding two negatives makes a bigger number? Is this true or false? Explain.
Answer: False, adding two negatives does not make a bigger number. I know this because when adding the two negatives, the absolute value will get bigger. However, the value of the number gets smaller.
kay scored 15 on quiz 1 which had a mean of 12 and standard deviation 2.4. she scored 14 on the quiz 2 which had a mean of 11 and standard deviation 2.0. in comparison to her classmates, did kay do better on quiz 1 or quiz 2?
In comparison to her classmates, Kay did better in quiz 2.
According to the question,
Kay scored 15 on Quiz 1 which had a mean of 12 and a standard deviation of 2.4
= Z-score = 15 - 12/ 2.4 = 1.25
She scored 14 on Quiz 2 which had a mean of 11 and a standard deviation of 2
= Z-score = 14 - 11/ 2 = 1.5
As we can see the Z-score of Quiz 2 is more than the Z-score of Quiz 1 hence Kay did better in Quiz 2.
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What is a confidence interval? Choose the best description.
A range of probabilities, constructed with a sample, that describes where a population parameter will occur.
A range of values, created using a sample, within a population parameter that has a certain probability of occurring.
A range of values used to estimate where the sample statistic is likely to occur
Answer: A range of values, created using sample, within which population parameter has a certain probability of occurring.
Reason: E.g. P(a<x>b) = 0.95
confidence interval is A range of values, is created using a sample, within a population parameter that has a certain probability of occurring.
A sampling method's degree of certainty or uncertainty is measured by confidence intervals. In statistics, the probability that a population parameter will fall between a set of values for a certain percentage of the time is referred to as a confidence interval. Confidence intervals that contain either 95% or 99% of expected observations are frequently utilized by analysts. To comprehend the statistical significance of their estimates, inferences, or predictions, statisticians and other analysts employ confidence intervals.
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Given the equation y=2-(x-3)^2
Find the cordinates of the vertex of the curve it describes
Find the x intercept
Find the y intercept
Answer:
Y= -7
X= 4.4
Step-by-step explanation:
Y= 2 - ( x-3)^2
When x= 0
Y= 2- ( 0-3)^2
Y will equals -7
When y = 0
(x-3)= √2
X = 4.4
PLEASE HELP ASAP!! PLEAZE 20 PIINTS
If you buy an AED 50 meal with a 5% tax.
The tax amount to be paid is AED
Answer:
2.5 dhs
Step-by-step explanation:
5% of AED50
50x5/100=250/100
=AED2.5
PLEASE HELP WILL GIVE 100 POINTS AND BRAINLEST ANSWER BOTH QUESTIONS TWO ANSWERS FOR EACH!!
Circumcenter is equidistant from the vertices, perpendicular bisectors will cross. Incentre is equidistant from the sides. Where the angle bisector cross incenter
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
We have to choose the properties of circumcenter.
Circumcenter is equidistant from the vertices.
It is equidistant from the three vertices of the triangle, and thus you can construct a circle centered at the circumcenter and circumscribing the triangle.
and perpendicular bisectors will cross.
We have to choose the properties of incenter.
Incentre is equidistant from the sides.
Where the angle bisector cross incenter
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Determine if they given ordered pair is a solution to the given system
Answer:
Step-by-step explanation:To determine if an ordered pair is a solution to a system of two equations, we substitute the values of the variables into each equation. If the ordered pair makes both equations true, it is a solution to the system.
Fatima paid for 5 pallets of grass to be delivered. Each pallet of grass cost $129. 95. Fatima paid $76. 20 for delivery. What is the total amount fatima paid?.
Fatima paid $129.95 for pallet of grass cost and $ 76.20 for delivery. The total amount Fatima paid is $725.95.
Pallet Grass Cost: The quality and type of grass you want will impact the overall cost of sod. Most homeowners pay between $150 and $450 per pallet of sod for their yards or an average of $300. When it comes to square footage, sod costs between $0.35 and $0.85, or an average of $0.60 per square foot.
Given in the question:
Number of Pallets = 5
Cost of each pallet = $129.95
Total amount spend on Pallets
= Number of Pallets × Cost of each pallet
= 5 × $129.95 = $ 649.75
Also given;
Amount spend on Delivery = $76.20
Total Amount Paid by Fatima
= Total amount spend on Pallets + Amount spend on Delivery
= $649.75 + $76.20
= $ 725.95
Hence Fatima paid a total amount of $725.95.
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the points (7, 18) and (3, 14) fall on a particular line. What is its equation in slope-intercept form?
[tex](\stackrel{x_1}{7}~,~\stackrel{y_1}{18})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{14}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{14}-\stackrel{y1}{18}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{7}}} \implies \cfrac{ -4 }{ -4 } \implies 1[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{18}=\stackrel{m}{ 1}(x-\stackrel{x_1}{7}) \\\\\\ y-18=x-7\implies {\Large \begin{array}{llll} y=x+11 \end{array}}[/tex]