The set R^2 with x ≤ 0 and y ≤ 0 is not a vector space.
The 10th axiom cv∈ V does not hold
Let u, v and w be vectors in the vector space V, and let c and d be scalars. A set S is defined as a vector space if it satisfies the following conditions:
1. u+ v ∈V
2. v + w = w + v
3. (u + v) + w = u + (v + w)
4. v + 0 = v = 0 + v
5. v + (−v) = 0
6. 1v = v
7. c(dv) = (cd)v
8. c(v + w) = cv + cw
9. (c + d)v = cv + dv
10. c v ∈V
Given the set of all vectors x, y in R^2 with x ≤ 0 and y ≤ 0
If the scalar c is such that c<0 then c v ∉R^2as cv>0
Therefore, the 10th axiom is not satisfied and thus the set R^2 with x ≤ 0 and y ≤ 0 is not a vector space.
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A t-shirt and a pair of shorts cost $29.75 together. jason paid $228.55 for 12 t-shirts and 5 shorts. how much will ted pay for 2 t-shirts and 4 pairs of shorts?
A t-shirt and a pair of shorts cost $29.75 together. jason paid $228.55 for 12 t-shirts and 5 shorts. Then ted pay for 2 t-shirts and 4 pairs of shorts is $59.4
A t-shirt and a pair of shorts cost $29.75 together.
jason paid $228.55 for 12 t-shirts and 5 shorts.
how much will ted pay for 2 t-shirts and 4 pairs of shorts
let T denote for t shirt and S denote for shorts
then T+ 2S=29.75
12T+ 5S=228.55
solving these equation
multiply by 12 in 1 , we get
12T+ 24S= 357
12T+ 5S=228.55
substract these two equation we have
19S=128.45
S= 6.76
we can substitute in 1 we get
T + 13.52 =29.75
T=16.23
Hence , 2T + 4S = 32.46+27.04=59.4
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-11+?=15
?-(-3)=5
?+(-4)=7
?+-8=-3
-2+?=1
?-12=-4
Answer:
Step-by-step explanation:
-11+?=15
?=15+11
15+11= 26
So, -11+26=15.
?-(-3)= 5
?+3=5
?=5-3
?=2
So, 2-(-3)=5.
?+(-4)=7
?-4=7
?=7+4
?=11
So, 11+(-4)=7.
?+-8=3
?=3+8
?=11
So, 11+-8=3.
-2+?=1
?=1+2
?=3
So, -2+3=1.
?-12=-4
?=-4+12
?=8
So, 8-12=-4.
assume 11% of the population is left-handed. assume this percentage is also true for all college students. a random sample of 209 college students from a campus with 5225 students is taken and whether or not they are left-handed is recorded.
After finding the probability we find that 0.04 students are left-handed from the 209 students randomly selected from the campus.
11 % of the population is left-handed so here we have to find the probability of left-handed students if 209 random students are selected from 5225 students on campus here Favorable outcome is 209 and the total outcome is 5225, so the favorable outcome upon the total number of the outcome.
According to the probability formula :
Probability = [tex]\frac{favorable outcome}{Total number of outcome}[/tex]
Probability = 209 / 5225
After diving the above equation we find that 0.04 students are left-handed from the 209 students randomly selected from the campus.
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Please help!!!
I’ll give you the Brainiest
Does multiplying by a conversion factor change the
amount of what is being measured?
Answer:
Multiplying a quantity by a conversion factor changes the units that measure a quantity but does not change the original amount of the quantity.
Step-by-step explanation:
There is no explanation
find the range of each function:
f(x) = 2^x
[tex]f(x) = - 5 \leqslant x \leqslant 4[/tex]
please give me explaination
The range of the exponential function f(x) is 1 / 32 ≤ f(x) ≤ 16.
How to find the range of an exponential function
Exponential functions are monotonous functions, that is, functions that are increasing or increasing but never both. Functions are defined by the following three features:
Domain - Set of input variables.Range - Set of output variables.Relation - Relations between domain and range.In this problem we find a function with an input variable (x) and an output variable (f(x)). Since exponential functions are monotonous functions we can determine the bounds of the range by the function evaluated at x = - 5 and x = 4. Thus:
f(- 5) = 2⁻⁵
f(- 5) = 1 / 2⁵
f(- 5) = 1 / 32
f(4) = 2⁴
f(4) = 16
The range of the function f(x) = 2ˣ for - 5 ≤ x ≤ 4 is 1 / 32 ≤ f(x) ≤ 16.
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4.(02.02 MC)Demarcus will be 24 years old when he graduates. If the mean brweekly wage of his career is $2456.00, what will his lifetime earrings be when he retires at the of68 (1 point),O $100,79600$1.000 76.00$261896.00$5226,192.00
His lifetime earnings when he retires at the age of 68 is $2,817,385.1728.
The total number of years Demarcus will work is 68 - 24 = 44 years.
Now, there are about 52.1429 weeks per year; therefore, the number of weeks in 44 years will be:
44 years × 52.1429 weeks/year = 2294.2876 weeks
We are also told that Demarcus gets paid once every two weeks; this means the number of payments made in 44 years will be:
2294.2876 / 2 = 1147.1438 payments
Since each payment is worth $2,456.00, the total amount earned from 1147.146 payments will be:
1147.146 payments × 2456 per payment = $2,817,385.1728
Hence, Demarcus' lifetime earnings if he retires at the age of 68 will be $2,817,385.1728.
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I need assistance on scatter plots. Please see the attached question
From the scatter plot of sales of Ceiling Fan in relation to Temperature.
(a) We are asked to characterized the money spent on Ceiling Fan to Temperature.
The relationship between the money spent on Ceiling Fan and Temperature is positive correlation.
When the y variable tends to increase as the x variable increases, we say there is a positive correlation. Which we can see in the scatter plot in the question.
(b) using the function y = 20x + 0, we are to find the predicted amount of sales if temperature is 21 degrees Celsius.
With the function:
y = 20x + 0
When Temperature is 21 degrees that means x = 21
So let's input x = 21 into the given function.
y = 20(21) + 0
y = 420 + 0
y = 420
Therefore, the predicted amount of sales when Temperature is 21 degrees Celsius is $420.
(c) What does the number 0 in the function mean in the contest of this situation?
In a linear interpretation which the function represents, the number 0 can be seen as the y intercepts of the function.
Match the following items.1.(-14) + 81 = 81 + (-14)multiplicative inverse2. • = 1additive identity3.101 + (29 + 417) = (101 + 29) + 417associative property of addition4.(24 + 15) = • 24 + • 15commutative property of addition5.-72 + 0 = -72distributive property
Given:
[tex]\begin{gathered} (1)\rightarrow(-14)+81=81+(-14) \\ \\ (2)\rightarrow\frac{13}{17}\cdot\frac{17}{13} \\ \\ (3)\rightarrow101+(29+417)=(101+29)+417 \\ \\ (4)\rightarrow\frac{1}{3}(24+15)=\frac{1}{3}\cdot24+\frac{1}{3}\cdot15 \\ \\ (5)\rightarrow-72+0=-72 \end{gathered}[/tex]Find-:
Match the item
Explanation-:
(1)
The commutative property of addition is:
So the commutative property of addition is:
[tex](-14)+81=81+(-14)[/tex](2)
The multiplicative inverse is:
So value is:
[tex]\frac{13}{17}\cdot\frac{17}{13}=1[/tex](3)
Associative property of addition
So the value is:
[tex]101+(29+417)=(101+29)+417[/tex](4)
Additive identity.
The property of additive identity is:
[tex]A+0=A[/tex]So the value is:
[tex]-72+0=-72[/tex](5)
The distribution property is:
[tex]a(b+c)=ab+ac[/tex][tex]\frac{1}{3}(24+15)=\frac{1}{3}.24+\frac{1}{2}\cdot15[/tex]A chef had to fill up 4⁄6 of a container with mashed potatoes. He ended up using 3 2⁄4 pounds of mashed potatoes. How many pounds would he use if he had to fill up the entire container?
5.25 pounds of mashed potatoes is required to fill the container.
How Many Pounds to Fill the ContainerIn the question, we were told the container was 4/6 filled and the chef used 3 2/4 pounds which is equal to 14/4 pounds of mashed potatoes.
In doing this, we are calculating the volume of the container.
Let's equate this and find how many pounds will fill the container.
[tex]\frac{4}{6}fill = \frac{14}{4} pounds\\ 1 fill = x pounds[/tex]
Let's cross multiply both sides and solve for x.
[tex]\frac{4}{6}fill = \frac{14}{4} pounds\\1 = x pounds\\x = \frac{1 * \frac{14}{4} }{\frac{4}{6} }\\x = \frac{21}{4} = 5.25 pounds[/tex]
To fill the container, we need 5.25 pounds of mashed potatoes.
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Write the equation of the line in point slope form that passes through the point (-8,-3) and (2,2)
Answer:
i think y=1/2x+1 or y+3=1/2 times (x+8)
Step-by-step explanation:
Complete the boxes in the decimal
grid below.
0.345
0.348
PLEASE ANSWER ASAP!!
A) The end behavior of the polynomial graph is that;
as x → -∞, y → -∞, and as x → ∞, y → ∞
B) The given graph polynomial represents an even degree polynomial.
What is the End behavior of the graph?The end behavior of the graph of a polynomial function is the behavior of the graph of as approaches positive infinity or negative infinity.
Now, we see from the graph that as x approaches a larger value, y values are getting increasingly negative. This means that as x approaches negative infinity, the values of y approach negative infinity.
In a similar approach, we can see that as the values of x approach positive infinity, the values of y also approach positive infinity.
Thus, we can say that option D is correct.
B) Odd-degree polynomial functions, are those that have graphs that extend diagonally across the quadrants while even-degree polynomial functions are those that have graphs that open upwards or downwards.
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PLEASE HELP!
Keisha is making a small sign in the shape of a triangle for her store. She wants the height of the triangle to be 4 inches. The area of the sign must be less than10 square inches. (Keisha doesn't want to buy more material.) Write an inequality that describes the possible base lengths (in inches) of the triangle. Use b for the base length of the triangular sign.
The base length of triangle for the store is b ≤ 5in.
What is triangle?Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object.
A polygon also includes a triangle.
Triangle's characteristics:
A triangle's internal angles are always added together to equal 180 degree.Any two triangle sides added together will always have a length larger than the third side.Half of the product of a triangle's base and height makes up its surface area.Given:
height of triangle(h)=4in
Area of triangle(A)≤ 10in²
let base length of triangle be b
Area of triangle is given by:
Area = (1/2) × base × height
(1/2) × b × 4 ≤ 10
2b ≤ 10
b ≤ 5 in
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The line passes through the points (-2,5) and (-8,-8)
Slope =
[tex]m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{ - 8 - 5}{ - 8 - ( - 2)} \\ m = \frac{ - 13}{ - 8 + 2} \\ m \frac{ - 13}{ - 6} \\ m = \frac{13}{6} [/tex]
ATTACHED IS THE SOLUTION.
I also provided you with the formula to calculate the slope between the points.
formula to calculate the slope between the points.GOODLUCK
What is the least common multiple of 3, 5, and 10?
help meeeeeeeeeeeeeeeeeee pleaseeee!!
Answer: The answer is y
Step-by-step explanation:
Select the values that make the inequality −d≥7 true. Then write an equivalent inequality, in terms of d. -12 -8 -7.1 -7 -6.9 -6 -2 0 2 6 6.9 7 7.1 8 12
The values of the inequality -d ≥ 7 are -12, -8 and -7.1
The inequality is
-d ≥ 7
The inequality is the equation that shows the relationship between the numbers or algebraic expression. The relationship maybe greater than, greater than or equal, less than, less than or equal. In inequality there is no equal relationship.
The given inequality is
-d ≥ 7
Divide both sides of the given inequality by -1
-d/-1 ≥ 7/-1
d ≤ -7
Therefore the value of d is less than -7
So the values are -12, -8 and -7.1
Hence, the values of the inequality -d ≥ 7 are -12, -8 and -7.1
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rlly need helpp plsssss
Answer: Equation is x+45 = 90
It solves to x = 45
Explanation:
The two angles are complementary, which by definition means they join together to form a right angle. The two pieces x and 45 add to 90 degrees.
To solve the equation x+45 = 90, we subtract 45 from both sides to get x = 45.
As a check x+45 = 45+45 = 90.
The price of an item yesterday was %130.Today, the price rose to $169 . Find the percentage increase.
The percentage increase when the price of an item increased is 30%.
How to calculate the percentage?From the information, the price of an item yesterday was $130 and today, the price rose to $169.
The increase in the price will be:
= $169 - $130
= $39
Therefore, the percentage increase will be:
= Increase in price / Original price × 100
= 39 / 130 × 100
= 30%
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Given the figure below, find the values of x and z.
(7x + 73)°
(10x + 22)
In the given figure,
(7x + 73) + (10x + 22) = 180 ........(Because they are linear pair)
⇒ 7x + 73 + 10x +22 = 180
⇒ 17x + 95 = 180
⇒ 17x = 180-95
⇒ 17x = 85
⇒ x = 85/17
⇒ x = 5
Now, 7x +73 = z ....................(Because they are vertically opposite angles)
⇒ 7 x 5 + 73 = z
⇒ z = 35 + 73
⇒ z = 108°
What are vertically opposite angles and linear pairs?Angles that are vertically opposed to one another at a certain vertex are formed by two straight lines intersecting. Angles that are vertically opposed to one another are equal. These are referred to as vertical angles at times.A linear pair of angles in geometry is a pair of neighboring angles created by the intersection of two lines. When two angles share a vertex and an arm but do not overlap, they are said to be adjacent angles. Due to their formation on a straight line, the linear pair of angles are always complementary. So, the total of two angles in a pair of lines is always 180 degrees.
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wht is the ending balance of R341000 at 4% for 3 years?
The ending balance for a amount of Rs. 341,000 with a interest rate of 4% for the time period of 3 years is Rs. 381920.
What is interest?
In the fields of finance and economics, interest is the payment made at a set rate by a borrower or deposit-taking financial institution to a lender or depositor in excess of the principal amount (the amount borrowed).
Information given in the question,
Principle amount = 341,000
Time period = 3 years
Interest rate is 4 % which can be written as 0.04 in decimals.
We can calculate the ending balance using this formula formula for simple interest:
[tex]S.I. = Principle \times Interest \times time[/tex]
Putting the values given in the question
S.I. = (341000)(0.04)(3)
S.I. = 40,920
Interest is 40,920.
The ending balance is the sum of Principle amount and Interest. So,
ending balance = 341000+40920
ending balance = 381920
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1-4: Literal Equations Once a large pink ribbon, the sign of the fight against breast cancer, was erected out of pink post-it notes on a billboard. If the area of the rectangular billboard covered by the ribbon was approximat 3360 square feet, and the width of the billboard was approximately 56 feet, what was the height of this billboard?
If the area of the rectangular billboard covered by the ribbon was approximately 3360 square feet, and the width of the billboard was approximately 56 feet, the height of the billboard would be 71.25 feet.
What is area?The exact measurement that helps to express the size of a region on a plane or curved surface is thus called as area.
Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
In mathematical terminology, area can be defined as the total space that is taken up by a flat (2-D) surface or shape of a present object.
Here the area of the billboard = 3360 sq feet
Width of the billboard = 56 feet
We know that
area of the billboard = Height of the billboard x Width of the billboard
⇒ Height of the billboard = [Area of the billboard] / [Width of the billboard]
⇒ Height of the billboard= 3360/56
⇒ Height of the billboard = 71.25 feet
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Can someone answer this please?
1. The cheapest meat is Ms barker free Ronge whole chicken in $6 per kilo.
2. The cost of 200 grams of honey leg ham is $3.4.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The cost of all meat is shown in figure.
Now,
By the figure, we get;
The cheapest meat is Ms barker free Ronge whole chicken which is in
$6 per kilo.
And, The cost of honey leg ham = $17 per kilo
Since, 1 kilograms = 1,000 grams
The cost of 1 gram of honey leg ham = $17/1000
So, The cost of 200 grams of honey leg ham = 200 × 17 / 1000
= $3.4
Thus,
1. The cheapest meat is Ms barker free Ronge whole chicken in $6 per kilo.
2. The cost of 200 grams of honey leg ham is $3.4.
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The function f(x) is shown below.
X
-6
اس
-3
5
8
f(x)
1
2
5
3
0
If g(x) is the inverse of f(x), what is the value of f(g(2))?
O-6
O-3
02
O 5
The function y as a function of x, i.e., y = f(x), and then solve for x as a function of y, to determine the inverse of a function.
If g(x) is the inverse of f(x), 2 is the value of f(g(2)).
What is meant by inverse function?An inverse in mathematics is a function that "undoes" another function. In other words, if f(x) yields y, then y entered into the inverse of f yields the output x.
The function y as a function of x, i.e., y = f(x), and then solve for x as a function of y, to determine the inverse of a function.
Given
[tex]&x \rightarrow f(x) \\[/tex]
[tex]&-6 \rightarrow 1 \\[/tex]
[tex]&-3 \rightarrow 2[/tex]
[tex]$$g(x)=f^{-1}(x)[/tex] inverse
To find the value of f(g(2)).
For two functions f(x) and g(x) where f(x) and g(x) are inverse; f(g(x))=x
So, by comparison: f(g(2)) = 2.
Therefore, the inverse of the function f(g(2)) = 2.
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How long will it take for a $4000 investment to grow to $5780 at an annual rate of 4%, compounded quarterly? Assume that no withdrawals are made. Do not round any intermediate computations, and round your answer to the nearest hundredths.
The working equation when dealing with problems regarding compounded interest is
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]where A is the future value, P is the principal value, r is the annual rate, and n is the number of compounding periods.
The problem compounds quarterly, hence, we have n = 4.
We derive the working equation to solve for t, as follows:
[tex]\begin{gathered} \frac{A}{P}=(1+\frac{r}{n})^{nt} \\ \ln (\frac{A}{P})=\ln ((1+\frac{r}{n})^{nt}) \\ nt\ln ((1+\frac{r}{n}))=\ln (\frac{A}{P}) \\ t=\frac{\ln (\frac{A}{P})}{n\ln ((1+\frac{r}{n}))} \end{gathered}[/tex]Substitute the values of A, P, n, and r on the derived equation above and solve for t, we get
[tex]\begin{gathered} t=\frac{\ln (\frac{5780}{4000})}{4(\ln (1+\frac{0.04}{4}))} \\ t=\frac{\ln (1.445)}{4(\ln (1.01))} \\ t=\frac{0.368}{4(0.00995)} \\ t\approx9.25 \end{gathered}[/tex]Therefore, the $4000 investment grows to $5780 in 9.25 years.
20 POINTS!!! PLEASE I NEED HELP STAT!!!
Francisco is moving and must rent a truck. There is an initial charge of $45 for the rental plus a fee of $2.50 per mile driven. Make a table of values and then write an equation for C, in terms of m, representing the total cost of renting the truck if Francisco were to drive m miles.
Answer:
0 miles driven:$45, 1 miles driven:$47.5, 2 miles driven:$50, 3 miles driven:$52.5
Step-by-step explanation:
For Kimberly's P.E final she must either walk or run at least 5 miles this week. She knows it would take her 15 minutes to run a mile and 40 minutes to walk a mile, Kimberly only has 6 hours in which she must accomplish this final. Write an equation that represents Kimberly's P.E final for both walking and running. Define all variables
The equation for Kilberly's running or walking will be R+4w ≤ 6.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Given that For Kimberly's P.E final she must either walk or run at least 5 miles this week. She knows it would take her 15 minutes to run a mile and 40 minutes to walk a mile, Kimberly only has 6 hours in which she must accomplish this final.
Let the running is represented by 'R' and walking by 'w". The equation will be written as below:-
R + 4W ≤ 6
Put the running and walking times in the equation above.
15 + ( 4 x 40 ) ≤ 6
175 minute ≤ 6 x 60
175 minutes ≤ 360 minutes.
Therefore, Kimberly covers the distance in less than 6 hours.
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Enter the value of p so the expression 18+4.5n is equivalent to p(6 + 1.5n)
Answer:
p=1
Step-by-step explanation:
p(6+1.5n)=18+4.5n
6p+1.5np = 18+4.5n
18p+4.5np=18+4.5n
p=1
:]
Question on the image please help
Answer: 0.195
Step-by-step explanation:
can someone help me with this
If we solve for the value of x using the graph we get the coordinates of X as X( [tex]\frac{21}{4}[/tex] , [tex]\frac{35}{4}[/tex] ).
What is the linear equation with two variables ?
A linear equation with two variables is any equation that can be expressed in form ax + by + c = 0, where a, b, and c are all real values.
The given equation is a form of linear equation with two variables.
The equation is 16x + 28y = 112.
From graph it is clear that coordinates of Y are Y(1 , -1).
So , let's check for the value of x by putting the values of y in given expression.
i.e.,
The resulted equations will be :
16 x + 28 (1) = 112
or
16x + 28(-1) = 112
So ,
16 x + 28 = 112 --- -- -- ----- ----- ---- ---- ---- ---- ---- ---- ---- Equation 1
16x - 28 = 112 --- -- -- ----- ----- ---- ---- ---- ---- ---- ---- ---- Equation 2
The values of x will be :
x = 84 / 16 = 21 / 4
or
x = 140 / 16 = 35 / 4
The coordinates of X will be X([tex]\frac{21}{4}[/tex] , [tex]\frac{35}{4}[/tex] ).
Therefore , solving for the value of x using the graph we get the coordinates of X as X( [tex]\frac{21}{4}[/tex] , [tex]\frac{35}{4}[/tex] ).
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