If dim span{v1,v2,...,v5} = 4, it means that the span of the set of vectors {v1,v2,...,v5} can be expressed as a 4-dimensional subspace of r^2. This implies that there are only 4 linearly independent vectors in the set {v1,v2,...,v5}. Therefore, there must be at least one vector in the set that can be expressed as a linear combination of the other 4 vectors. In other words, the set of vectors {v1,v2,...,v5} is linearly dependent.
To prove this, we can assume that v5 can be expressed as a linear combination of v1, v2, v3, and v4. That is, v5 = c1v1 + c2v2 + c3v3 + c4v4 for some constants c1, c2, c3, and c4. If we substitute this expression into the equation for the span of {v1,v2,...,v5}, we get:
span{v1,v2,...,v5} = span{v1,v2,v3,v4,c1v1 + c2v2 + c3v3 + c4v4}
Since v5 can be expressed as a linear combination of the other vectors, we can remove it from the span without changing the dimension of the span. Therefore, we have:
span{v1,v2,...,v5} = span{v1,v2,v3,v4}
Since the dimension of the span is 4, we conclude that the set {v1,v2,...,v5} is linearly dependent.
To know more about independent vectors refer here
https://brainly.com/question/30357549#
#SPJ11
which of the following best describes jim smiley? a clever and competitive b suspicious and aggressive c bored and annoyed d gentle and tranquil
The best description of Jim Smiley would be "a clever and competitive" individual.
Jim Smiley, a character created by Mark Twain in his short story "The Celebrated Jumping Frog of Calaveras County," is depicted as a shrewd and competitive person. He is known for his cunning nature and his desire to win in various contests and competitions. Jim Smiley's cleverness and competitive spirit are central to the story's plot and characterization.
know more about Jim Smiley here:
https://brainly.com/question/11305761
#SPJ11
What is 2.7 rounded to the nearest whole number
Answer:
3
Step-by-step explanation:
if the decimal is 5 or more then u round up to the next number
4 or below then it stays that number
Hey there!
Fun fact:
If it’s BIGGER than 5 (or equal to 5), you round UPWARD & if it’s SMALLER than 5, you go DOWNWARD.
2 is SMALLER than 5 & 7 is BIGGER than 5
Thus, your answer should be: [3]
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
a box contains cards numbered 1 - 10. two cards are randomly picked with replacement. what is the probability of picking the card numbered three at least once?
The probability of selecting the card with the number three at least once is 1/10.
Given that,
1 through 10 cards are contained in a box. Two cards are chosen at random and replaced
To find : The probability of selecting the card with the number three at least once?
Probability (3 at first) * Probability (3 at second) + Probability (3 at first) *Probability (others at second) + Probability (others at first) *Probability (3 at second) = 1/10 * 1/0 + 1/10 *9/10 + 9/10*1/10
= 19/100 = 0.19
Here there are 10 cards,
So, probability of picking three is 1/10 and probability of picking others is 9/10
To learn more about probability click here:
brainly.com/question/11234923
#SPJ4
Change 0.16 to equivalent fraction. ANS ______________.
Given the decimal number 0.16
We need to change it to a fraction
so,
\(\text{0}.16=\frac{16}{100}=\frac{4\times4}{4\times25}=\frac{4}{25}\)So, the answer will be the equivalent fraction = 4/25
Use the dropdowns to complete the following statement.
The measure of an _____ angle of a triangle is _____ the _____ of its two ____ angles.
First dropdown: corresponding, interior, exterior, alternate
Second dropdown: equal to, less than greater than
Third dropdown: sum, quotient, difference, product
Fourth dropdown: adjacent, supplementary, remote interior, exterior
YALL JHITTS GO ADD MY T IK T OK
ITS >. * twoplayaany*
im following back
Answer:
Okay bestie ‼️
Step-by-step explanation:
How many degrees are in 3/4 of a full tum?
Answer:
270 degrees
Step-by-step explanation:
Description: This lesson will explain that of the 360 degree full rotation of a circle, 3/4 of a rotation is 270 degrees.
What is the relationship between 3 squared and the square root of 9
Answer:
Three squared is 9 because 3*3=9 so therefore it is also the square root of 9
So the relationship is that 3 squared is 9 and the square root of 9 is 3
The circumference of a circular garden is 119.32 feet. What is the radius of the garden? Use 3.14 for t and do not round your answer.
Answer:
r = 19 ft
Step-by-step explanation:
Circumference, C is given as 119.32 ft
Circumference of a circle is given by the formula, 2πr
This means that,
C = 2πr, we're told to assume that π = 3.14
So therefore,
119.32 = 2 * 3.14 * r
r = 119.32 / 6.28
r = 19 ft
Convert 13000 milligrams into pounds. Round your answer to the nearest hundredth
Answer:
0.03 is the correct answer
Step-by-step explanation:
0.02866009 = 0.03
Please solve i will give brainliest
Answer:
Each item costs $6.46 dollars rounded to the nearest cent.
Step-by-step explanation:
All I did was divide 3133 divided by 482 is 6.45850622407.
But since this number is too big, I rounded it to the nearest cent.
So, the answer should be 6.46
Hope this helps! :)
please help me with the maths question attached below!!!
Answer:
A) y= -x+2
B) ( 2, 1)
Answer:
D, C
Step-by-step explanation:
1) y= -x+2
2) (2,1)
Find the function f, if: f'(x)=2/(x^3) + 4e^x + 5, f(-1)=1, f(1)=-1 (Note: Consider the domain and write the answer in ascending order of the variable).
Answer:
f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)
Step-by-step explanation:
We can find the function f(x) by integrating f'(x) with respect to x:
â«f'(x) dx = â«(2/(x^3) + 4e^x + 5) dx
f(x) = -1/x^2 + 4e^x + 5x + C
To find the constant C, we can use the given initial conditions:
f(-1) = 1 = -1/(-1)^2 + 4e^(-1) - 5 + C
C = 1 + 1/1 - 4e^(-1)
f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)
Therefore, the function f(x) is:
f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)
triangle interior angles theorem
answer and explain briefly
Answer:
x=62
Step-by-step explanation:
(x+1)+ x+55=180
-55 -55 (take away the 55)
(x+1)+ x= 125 (take out of parenthesis)
x+1+ x= 125
2x+ 1= 125 (add the two x's together)
-1 -1 (take away the one)
2x= 124 (divide by 2)
2
x=62
Compute the mean and variance of the following probability distribution. (round your answers to 2 decimal places.) x p(x) 7 0.10 14 0.20 21 0.25 28 0.45 click here for the excel data file
The mean of the probability distribution is 21.35 and the variance of the probability distribution is 51.3275
Given the probability distribution with values of x and corresponding P(x). We need to find the values of \(x^2\), x P(x), \(x^2\) P(x) to calculate mean and variance.
x P(x) \(x^2\) x P(x) \(x^2\) P(x)
7 0.10 49 0.7 4.9
14 0.20 196 2.8 39.2
21 0.25 441 5.25 110.25
28 0.45 784 12.6 352.8
-----------------------------------------------------
∑x P(x) = 21.35
∑\(x^2\) P(x) = 507.15
Mean = ∑x P(x) = 21.35
and variance = ∑\(x^2\) P(x) - \((\sum x\ P(x) )^2\) = 507.15 - 455.8225 = 51.3275
Learn more about mean and variance at https://brainly.com/question/25639778
#SPJ4
Use Desmos to graph and find a solution to the system
below
SHOW PROOF THAT THE SOLUTION WORKS IN EACH EQUATION
\(y=-3x-2\\2y=-x+6\)
a textbook company ships its books in boxes that can hold 30 pounds. one particular order calls for a shipment of 800 books. if each book weighs 1.4 kilograms, how many boxes will be required to fulfill this order
83 boxes are required to carry 800 books.
According to the question:
One Box can hold weight = 30 pounds
We know that , 1 pound= 0.45 kg
hence, 30 pounds = 30 x 0.45 = 13.5kg
hence, one box can carry 13.5 kg of weight.
Now,
Weight of 1 book = 1.4 kg
So, Total Weight of 800 books= 1.4 x 800 kg
And , No. of boxes required to carry 800 books = (1.4 x 800)/13.5 = 82.96
or approximately 83 boxes
Hence, 83 boxes are required to carry 800 books.
Learn more about Unitary Method at :
https://brainly.com/question/19423643
#SPJ4
PLEAS HELP CUZ I HAVE NO CLUE
Express the following relationship as a rate. This time, the rate should be minutes per page.
Reading 30 pages in 10 minutes
minute per page
hour per page
3 minutes per page
30 minutes per page
Answer:
i agree with 3 minutes per page.
Step-by-step explanation:
What is the distance between -3,3 and 4,-3
Answer:
-1,0
Step-by-step explanation:
-3 + 4
3-3
find the area of a triangle two sides of which are 8cm and 11 cm and the perimeter is 32
the area of the triangle.
solution:area of triangle= 1/2 × h × b
= 1/2 × 8 × 11
= 44cm^2
Answer:
44
Step-by-step explanation:
8+11=1932-19=13area of a triangle=½×base×height
13~hypotenuese½×8×11=44cmhope that hepls
incase u have any question coment belowRewrite the ratio 6: 27 as an equivalent ratio of the form 1: n.
Give any decimals in your answer to 1 d.p.
The equivalent ratio of form 1 : n is 1 : 4.5
Here the ratio given is 6 : 27 and we have to convert this ratio into the form of 1 : n.
6: 27
= 6/27
Divide the numerator and the denominator by 6, then we get
1 / (27/6)
= 1/ 4.5
Which is equivalent to the ratio 1 : n.
Therefore the equivalent ratio is 1 : 4.5.
To know more about the ratio refer to the link given below:
https://brainly.com/question/12024093
#SPJ9
which point is the center of a circle
Answer:
isnt it called the focus thats what i think
Step-by-step explanation:
Sarah invests £400 at 3%
interest for 6 years
Circle the correct calculation to
work out how much she has now.
Answer: £900
Step-by-step explanation:
mr. eaton is ordering sandwiches for a school picnic. the best deal is the 6-foot-long sandwich, which is cut into 4-inch-long pieces. mr. eaton expects 90 people to attend the picnic. he thinks each person will eat 2 pieces. how many 6-foot-long sandwiches should he order?
He should order 10 sandwiches of 6 foot long so, as to make sure that everyone will eat 2 pieces.
What is Conversion ?We need to convert between the units in order to ensure the accuracy and to prevent measurement misinterpretation. For example, we do not measure the pencil's length in kilometres. In this situation, one must convert from kilometres (km) to centimetres (cm) (cm). In most cases, multiplicative conversion factors are used to convert one unit to another of the same quantity. Let's see how to change the length and mass units.
1 Feet = 12 Inches
So, 6 Foot = 72 inches
The Length of sandwich- piece is 4 inch
So, when we convert 6 foot long sandwich into 4 inch,
Then we get number of piece is = 72/4 = 18
From 6 foot long sandwich we get 18 pieces of 4 inch long sub.
Now, Total people who will attend picnic is 40
and each people will eat 2 pieces.
It means total number of piece required = 2 (90) = 180
Mr. eaton required 180 pieces of sandwiches.
Number of sandwiches = 180 / 1.8 = 10
He should order 10 sandwiches of 6 foot long.
To learn more about, Conversion ,Visit :
https://brainly.com/question/28754686
#SPJ4
Given the expression 2m - 7x + 6 + 3x - 4 what are the CONSTANTS?
Answer:
The constants are 6 and 4
Step-by-step explanation:
They don’t have variables next to them
A baseball is hit at an angle of with the horizontal and with an initial velocity of v0 = 115 feet per second. An outfielder catches the ball 300 feet from home plate (see figure). A batter hits a baseball to an outfielder. There is a dashed line, a dashed curve, a marked angle and a distance given. The dashed line is horizontal and is at the same height as the top of the players heads. The ball travels the dashed curve from the horizontal line at batter, up and to the left, changing direction down to the left, to the horizontal line at the outfielder. The angle the curve makes with the horizontal line at the batter is labeled. The players distance apart is given as r = 300 ft. Find when the range r of a projectile is given by r = 1 32 v02 sin(2). (Enter your answers as a comma-separated list. Round your answers to one decimal place. )
The angle θ calculated from the range r of the projectile is 11.2 degrees.
To find the angle θ when the range r of a projectile is given by r = 1/32 v0^2 sin(2θ), we can use the following steps:
Start with the given equation r = 1/32 v0^2 sin(2θ). Isolate the sin(2θ) term by dividing both sides of the equation by 1/32 v0^2. This gives us sin(2θ) = 32r/v0^2. Take the inverse sine of both sides of the equation to find 2θ. This gives us 2θ = sin^-1(32r/v0^2). Divide both sides of the equation by 2 to find θ. This gives us θ = sin^-1(32r/v0^2)/2. Now we can plug in the given values of r and v0 to find the angle θ.
r = 300 ft
v0 = 115 ft/s
θ = sin^-1(32(300)/(115)^2)/2
θ = sin^-1(32(300)/(13225))/2
θ = sin^-1(0.729)/2
θ = 22.4/2
θ = 11.2 degrees
More examples of such questions on projectiles can be obtained here: https://brainly.com/question/14786684
#SPJ11
State the slope (m) and the y-intercept (b) for the problem below.
m
4. y=-2x + 4
b =
Answer:
The slope is -2. The y intercept is 4.
Step-by-step explanation:
when sampling from a population with , which of the following sample means is more surprising? why? sample a: a random sample of 9 pell grant recipients with a mean award amount of $2750. sample b: a random sample of 36 pell grant recipients with a mean award amount of $2750.
Sample mean in sample b to be less variable and more representative of population mean than sample mean in sample a.
Standard error measures the variability of sample means around the population mean.
It decreases as sample size increases.
Using the formula for the standard error of the mean,
Calculate the standard errors for each sample,
Standard error of sample a
= s/√(n)
= 850/√(9)
= 283.33
Standard error of sample b
= s/√(n)
= 850/√(36)
= 141.67
Where s is the sample standard deviation
And n is the sample size.
The standard error of sample b is smaller than the standard error of sample a.
Sample mean in sample b is more likely to be closer to true population mean than sample mean in sample a.
Therefore, sample mean b is more surprising as larger sample size makes it more likely and accurately represents population mean.
learn more about sample mean here
brainly.com/question/14727460
#SPJ4
Question 2 of 30
Which among the following is the correct range of value for the included angle of a V-belt?
O 10° to 200°
O 30° to 40°
O 70° to 80°
O 100° to 1200°
The correct range of value for the included angle of a V-belt is 30° to 40°. The V-belt provides power to the drive pulley. In the mechanical power transmission, V-belts are used in a large number of industrial and farm applications.
The V-belt is used for a smooth transition of power, and it is made from rubber and polymer materials with cords in the inside. It is commonly used in industrial machines, and it is easy to install and maintain. It is also used in power transmission with a high level of flexibility.
The correct range of value for the included angle of a V-belt is 30° to 40°.This angle is produced by joining the planes of the faces of the belt in the V section. It is the angle between the V-belt sides. The recommended value for the included angle of the V-belt is 36.5 degrees.
When the value is within this range, the V-belt functions optimally. A low included angle would result in a loose belt, whereas a high angle would result in a tight belt. In power transmission, V-belts are commonly used in a wide range of industrial and farm applications. The V-belt is used to provide power to the drive pulley. It is an essential mechanical component that ensures a smooth transition of power.
It is made of rubber and polymer materials, which make it durable and flexible. The V-belt's flexibility allows it to transmit power between pulleys located at different angles.The included angle is the angle between the sides of the V-belt. This angle is produced by joining the planes of the faces of the belt in the V section. The range of value for the included angle of a V-belt is 30° to 40°. The recommended value for the included angle of the V-belt is 36.5 degrees. When the included angle value is within this range, the V-belt functions optimally.
A low included angle would result in a loose belt, whereas a high angle would result in a tight belt.The V-belt's flexibility allows it to transmit power between pulleys located at different angles. The V-belt's grip on the pulley is an essential factor that affects the transmission of power. A low included angle would reduce the grip of the belt, resulting in slippage and reduced power transmission. In contrast, a high included angle would increase the grip of the belt, resulting in a higher level of power transmission.
The correct value of the included angle is critical to the V-belt's performance and longevity.
The correct range of value for the included angle of a V-belt is 30° to 40°. The recommended value for the included angle of the V-belt is 36.5 degrees. When the included angle value is within this range, the V-belt functions optimally. A low included angle would result in a loose belt, whereas a high angle would result in a tight belt. The V-belt's flexibility allows it to transmit power between pulleys located at different angles. The V-belt's grip on the pulley is an essential factor that affects the transmission of power.
To know more about V-belt :
brainly.com/question/29353673
#SPJ11
Find Joe's initial principal if he had $2,145 in
interest over 4 years at an interest rate of 5.5%
Answer:
see the screenshot below
Step-by-step explanation: