we have that
y-axis ------> point A
x-axis ------> point C
origin -----> point E
I quadrant ------> point B
II quadrant -----> point G
III quadrant ----> point F
IV quadrant ----> point D
MATRECIES: Suppose ={u,v,w}⊆R3 is linearly independent. Determine if the set 4 ={u, v, v−w, u+v+w} is linearly independent or linearly dependent.
The set is linearly dependent.
To explicitly prove this, we need to show there is at least one choice of constants [tex]c_1,c_2,c_3,c_3\in\Bbb R[/tex] such that
[tex]c_1 u + c_2 v + c_3(v-w) + c_4(u+v+w) = 0[/tex]
or equivalently,
[tex](c_1 + c_4) u + (c_2 + c_3 + c_4) v + (-c_3 + c_4) w = 0[/tex]
which is the same as solving the system of equations
[tex]\begin{cases} c_1 + c_4 = 0 \\ c_2 + c_3 + c_4 = 0 \\ -c_3 + c_4 = 0 \end{cases}[/tex]
From the first and last equations, we have [tex]c_1=-c_4[/tex] and [tex]c_3=c_4[/tex]. Substituting these into the second equation leaves us with [tex]c_2-2c_1=0[/tex], and so the overall solution set is
[tex]c_1 = \dfrac12 c_2 = -c_3 = -c_4[/tex]
for which there are infinitely many not-all-zero solutions.
What is the car’s speed in miles per minute, & how many miles will the car travel in 20 minutes?
Ok, so
We know that the car is travelling at a speed of 39miles/hour. The car's speed in miles per minute will be:
[tex]39\frac{miles}{hour}\cdot\frac{1hour}{60minutes}=0.65\frac{miles}{\min ute}[/tex]Now, we're asked to find how many miles the car will travel in 20 minutes. This is:
[tex]0.65\frac{miles}{\min ute}\cdot20\min utes=13miles[/tex]Help pls im horrible at math
Answer:
84
- 0
92
- 88
44
- 44
= 0
Step-by-step explanation:
When riding his bike down a hill, Lance can maintain an average speed of 55.5 km/h. When riding uphill, his speed drops to an average of 24.25 km/h. On a recent ride, 28% of Lance's ride was uphill, 33% was downhill and the rest of the ride was on a mostly flat surface. If the distance he covers is 475 km, how long do you think he took to complete his ride? Show your work.
Answer:
10.59480821 hours
Step-by-step explanation:
First, we need to know the percent of the flat surface. so we are gonna add the uphill and down hill then take the sum and find the difference from 100% 28+33+x=10061+x=100[tex]\frac{61+x}{-61} =\frac{100}{-61}[/tex]x=392. Now we know the percent for each surface
Uphill = 28%Downhill = 33%Flat = 39%3. Now that we know the percent of each surface we need to find out how many km for each surface:
Uphill
0.28×475=133kmDownhill
0.33×475=153.75kmFlat
0.39×475=185.25km3. Now that we know all the percent and distance for each surface we need to know the km/h for each
Uphill = 24.25km/h
Downhill = x
Flat = 55.5km/h
4. Since we don't have the speed for downhill we need to know the difference between uphill and flat
55.5-24.25=31.255. Now we know the difference is 31.25 we can add that to the flat surface to get the downhill speed
55.5+31.25=86.75Downhill =86.75km6. Now we know all the speeds and now we can figure out how many hours it takes for each surface
( we are going to take the distance in 1 surface and then divide that by the km/h in that surface to ket how many hours)
Uphill
133÷24.25=5.484536082 hoursDownhill
153.75÷86.75=1.772334294 hoursFlat
185.25÷55.5=3.337837838 hours7. Now we add all the hours up
5.484536082+1.772334294+3.337837838= 10.59480821 hoursMoving the decimal point to the right foot places in a number is the same as ______.1. multiplying by 10^42. multiplying by 103. multiplying by 10^-44. multiplying by 4
Whenever we multiply a decimal number by 10, we are shifting the decimal point one digit to the right. For example, if we compute
[tex]12.05\times10[/tex]the answer is
[tex]120.5[/tex]We moved the decimal point one digit to the right; therefore, we can say moving the decimal point to the right foot places in a number is the same as multiplying by 10.
Hence, the correct answer choice is 2
Question is down below
Answer:
g(x) = -|x+12|
Step-by-step explanation:
compute the finance charge, at 3% for one month on average daily balance of $268.42
Finance charge = average daily balance * interest rate * time period
Given:
average daily balance of $268.42
interest = 3% = 0.03
Time period = 1 month
so,
Finance charge = 268.42 * 0.03 * 1 = $8.0526
so, the answer is option B) $8.05
need answer asap ty
dividing integers
-56 ÷ 8
-72 ÷ (-9)
-24 ÷ (-6)
75 ÷ (-5)
-84 ÷ 7
answer 1=-7
2=8
3=4
4=15
5=12
Diagram LabelValueUnitsRadius of the Pool Cover9feetDiameter of the Pool Cover18feetCircumference of the Pool CoverfeetArea of the Pool Coversquare feet
Step1: Write out the given parameters
[tex]\begin{gathered} \text{Diameter}=18\text{feet} \\ \text{Radius}=\frac{diameter}{2}=\frac{18}{2}=9feet \end{gathered}[/tex]We are to find the area of the pool cover and it circumference
Step2: write out the formula
[tex]\begin{gathered} \text{Area of pool cover=}\pi r^2 \\ \text{where }\pi=3.14 \end{gathered}[/tex][tex]\text{Area of pool cover=3.14}\times9^2=254.34square\text{ f}eet[/tex]Hence the area of the pool cover is 254.34 square feet
The circumference of the pool cover is given by
[tex]\begin{gathered} 2\pi r \\ 2\times3.14\times9 \\ 56.52 \end{gathered}[/tex]Therefore the circumference of the pool cover is 56.52 feet
A particular disease is tested for results determine that it occurs in about 1 of every 425 Black males and every 102,000 non black males. Find the empirical probability that a randomly selected black male will have this disease
The empirical probability would be:
(number of males that tested positive)/(total number of black males tested)
1/425 (Based on the information given)
The answer is 1/425 or 0.00235(written as a decimal)
8=6+a/4 how do I solve this
6 is adding on the right, then it will subtract on the left
[tex]\begin{gathered} 8-6=\frac{a}{4} \\ 2=\frac{a}{4} \end{gathered}[/tex]4 is dividing on the right, then it will multiply on the left
[tex]\begin{gathered} 2\cdot4=a \\ 8=a \end{gathered}[/tex]||| GEOMETRY Area of a piecewise rectangular figure Find the area of the figure. (Sides meet at right angles.) ہے 5 cm 8 cm 3 cm 3 cm 8 cm 0 2 cm
Given: A piecewise rectangular figure is given.
Required: To determine the area of the given figure.
Explanation: The area of the given figure can be determined by splitting the figure into two squares as shown below:
Now the figure is divided into a square with an edge of 3 cm and a rectangle of 8 cm by 5 cm.
And the area of the square is
[tex](edge)^2[/tex]And the area of a rectangle is the product of length by breadth.
Hence, the area of the figure is-
[tex]\begin{gathered} A=(8\times5)^+(3)^2 \\ =40+9 \\ =49\text{ cm}^2 \end{gathered}[/tex]Final Answer: The area of the figure is 49 square centimeters.
what us the rule that represents the function in the graph?
EXPLANATION
The reule that represents the function is y=5cos(x) + 3
Please help I don't get this
Find the difference or type
"impossible"
[3 –8] + [4 - 5 -6]
? ? ?
It’s a matrice
Answer:
-12
Step-by-step explanation:
explanation in the picture bruv
Help meeeeeeeeeeeeeeeeeeeeeee
Answer: 120 degrees
Step-by-step explanation:
2.
3.
James has 28 marbles. He puts them into 4 bags.
He puts the same number of marbles in each bag.
How many marbles are in each bag?
Answer:
Wendy has 36 books. She has a bookshelf with 6 shelves
on it. If Wendy puts the same number of books on each
shelf, how many will be on each shelf?
Answer:
Pat is having a picnic for her family. She has 42 cookies.
There are 7 people in her family. If each person gets the
same number of cookies, how many cookies will each
person get?
Answer:
Answer:
Step-by-step explanation:
1. 7
2. 6
3. 6
escribe, in words, how you would move triangle ABC directly on top of triangle DEF so that it matches uI wouldB.А.EDSubmit
For this case our reference triangle is ABC and we want to describe what we need to do in order to obtain the triangle DEF
And for this case we can use the coordinate of A and F as reference
A=(2,5)
B=(15,3)
And we can find the transformation on this way:
[tex]\Delta x=15-2=13[/tex][tex]\Delta y=3-5=-2[/tex]So we can move the triangle 13 units to the right and 2 units down respect to the A coordinate and we will get the result of the triangle DEF
Hello! I need some assistance with this homework question, pleaseQ14
Recall that the graph of a function h(x), translated n units to the right is represented by the function
[tex]h(x-n)\text{.}[/tex]Therefore, y=f(x-2) represents the graph of f(x) translated 2 units to the right.
Answer:
Then the graph of y=f(x-2) may be obtained by a horizontal shift of the graph of f to the right a distance of 2 units.
EASY) write and equation for x then solve for x
Answer:
[tex]\large\boxed{\tt x = 23^{\circ}}[/tex]
Step-by-step explanation:
[tex]\textsf{We are given 2 \underline{Linear Pairs}. We are asked to form an equation, and to solve for x.}[/tex]
[tex]\large\underline{\textsf{What are Linear Pairs?}}[/tex]
[tex]\textsf{Linear Pairs are 2 Adjacent Angles that form a 180}^{\circ} \ \textsf{angle, or add up to 180}^{\circ}.[/tex]
[tex]\textsf{For our problem, these 2 angles given to us are Linear Pairs, which equal 180}^{\circ}[/tex]
[tex]\textsf{when added together. Let's create an equation to find x.}[/tex]
[tex]\large\boxed{\tt 180^{\circ}=93^{\circ} + (3x+18)^{\circ}}[/tex]
[tex]\textsf{Now, let's solve for x by using the \underline{Properties of Equality}.}[/tex]
[tex]\large\underline{\textsf{What are the Properties of Equality?}}[/tex]
[tex]\textsf{The Properties of Equality are Properties that allow us to manipulate equations.}[/tex]
[tex]\textsf{There are 9 properties of equality that we can use, each allowing us to simplify}[/tex]
[tex]\textsf{one side of an equation. These properties are mainly used to find missing variables.}[/tex]
[tex]\textsf{Let's solve for x by using the Properties of Equality.}[/tex]
[tex]\large\underline{\textsf{Solving for x;}}[/tex]
[tex]\tt 180^{\circ} = 93^{\circ} + 3x^{\circ}+18^{\circ}.[/tex]
[tex]\textsf{Let's first Combine Like Terms.}[/tex]
[tex]\tt 180^{\circ} = \boxed{\tt 93^{\circ}} + 3x^{\circ}+\boxed{\tt 18^{\circ}}[/tex]
[tex]\tt 180^{\circ} = 111^{\circ} + 3x^{\circ}[/tex]
[tex]\textsf{Now, let's use the Subtraction Property of Equality which states that if 2 same}[/tex]
[tex]\textsf{numbers are subtracted from both sides of the equation, then both expressions}[/tex]
[tex]\textsf{still equal each other. Let's subtract 111 from both sides of the equation.}[/tex]
[tex]\tt 180^{\circ} - 111^{\circ} = 111^{\circ} - 111^{\circ} + 3x^{\circ}[/tex]
[tex]\tt 69^{\circ} = 3x^{\circ}[/tex]
[tex]\textsf{Let's use the Division Property of Equality, which is similar to subtraction but it's}[/tex]
[tex]\textsf{for division. Divide each side of the equation by 3.}[/tex]
[tex]\tt \frac{69^{\circ}}{3} = \frac{3x^{\circ}}{3}[/tex]
[tex]\large\boxed{\tt x = 23^{\circ}}[/tex]
Part A What is the ratio of the number of steps to the number of minutes?
Number of step = 52
Minute = 1 minute
The ratio of the number of steps to the number of minutes is
52 : 1
A spinner with 12 equally sized slices has 5 blue slices and 7 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a red slice
Answer:
0
There are no red slices, so the probability is 0.
the function f(x)=600-100x models the value, f(x), of a video game system x years after purchase
Complete question is:
The function f(x) = 600 - 100x models the value, f(x), of a video game system x years after purchase. Which choice represents the most appropriate domain of the function?
Answer and explanation:
The domain of a function is the values you can plug into the function, the possible values for x.
While x could take any value, there are a range of apropiate values that it can take.
For example, since x represents years after purchase, x can not be a negative number, because that would represent negative years, thus x must be greater or equal to 0.
Domain:
[tex]\lbrack0,\infty)[/tex]Harry’s company can store 50,000 units of their new product in the warehouse, the maximum capacity for the warehouse. They sold 20,000 in pre-orders that will need to be shipped immediately. They can produce 3000 units per week, and they are receiving 1500 orders per week. How long will it take to fill the warehouse to maximum capacity based on the current production rate?
The company will take 47 weeks to fill the warehouse to its maximum capacity based on the current production rate.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Maximum capacity for the warehouse = 50,000 units
Pre-orders = 20,000 units
Number of units produced per week = 3000 units
Number of orders per week = 1500 units
The number of weeks to fill the warehouse to its maximum capacity:
We can make an equation as:
3000M - 1500M - 20,000 = 50,000 ____(1)
M = number of weeks
From (1) we get,
M ( 3000 - 1500 ) - 20,000 = 50,000 ____(2)
1500M - 20,000 = 50,000
1500M = 50,000 + 20,000
1500M = 70,000
M = 46.66 weeks
M = 47 weeks
We can also see that,
From (2),
M ( 3000 - 1500 ) - 20,000
47 x 1500 - 20,000
70,500 - 20,000
50,500
Thus,
The company will take 47 weeks to fill the warehouse to its maximum capacity based on the current production rate.
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Expand and simplify 3(x+2) + 4(2x+1)
Answer:
11x+10
Step-by-step explanation:
Distribute the GCF:
3(x+2) = 3x+6
4(2x+1) = 8x+4
(3x+6)+(8x+4)
Add the expressions:
(3x+6)+(8x+4) = 11x+10
Hope that helps
find the estimated quotient.
1. 4234 devide 51
The estimated quotient of the division is 83.
In mathematics, a quotient is a quantity created by the division of two integers (from the Latin quotients, meaning "how many times").
The term "quotient" is used frequently in mathematics, and it can also refer to a fraction or a ratio as well as the integer portion of a division (in the case of Euclidean division)(in the case of proper division). For instance, the quotient in the sense of Euclidean division is "6 with a remainder of 2" when 20 (the dividend) is divided by 3 (the divisor).The most common way to represent the quotient is as two integers or two variables split by a horizontal line. The terms "dividend" and "divisor" relate to each component separately, whereas "quotient" describes the entire thing.Now let us divide 4234 by 51.
4234 ÷ 51 = 83.019...
Therefore the quotient is 83
4234 divided by 51 gives quotient 83 and remainder 1 .
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Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(-4) = -11 B. g(-13) = 20 C. g(7) = -1 D. g(0) = 2
The true statement is g(-13)= 20.
What is domain and range?In mathematics, a function is represented as a rule that produces a distinct result for each input x. Mapping or transformation is used to denote a function in math. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
domain = -20 ≤ x ≤ 5
and a range = -5 ≤ g(x) ≤ 45
and g(0) = -2 and g(-9) = 6
First, g(-13)= 20
x=-13 is in our domain and 20 is also in our range .
So this is true for g(-13)= 20.
Now, g(-4) = -11
-11 does not comes under the range.
So this statement is not true.
Again, g(0) = 2 is false because g(0) = - 2.
and, g(7) = -1 D
7 is not in our domain .
So g(7) is not possible
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While visiting Salem Connor can pay a flat rate of $10 for parking or $5 per hour. For the length of time that Connor wants to park in Salem, the two options are actually equivalent in terms of cost. How much will Connor pay
let
x = length of time Connor will spend
You need to lay tile to create a frieze above a Forrest . The title measure 2 7/8 in by 2 7/8 if the doorway is 36 1/2 inches wide how many piece of tile you need
After solving basic fractions we have come to find that, we need 12.7 tiles to create a frieze above a Forrest.
What is fraction?When describing a portion or part of a whole in mathematics, a fraction is used. The equal components of the whole are represented by it. Both the numerator and denominator are components of a fraction.
Both the top and bottom numbers are referred to as the numerator and denominator, respectively. The denominator specifies the total number of equally sized pieces in the whole, whereas the numerator specifies the number of equal parts that were taken.
A fraction is something like 5/10.
The denominator in this case is 10, and the numerator is 5.
The measure of each tile = 2⅞
= 23/8
Measure of doorway = 36½
= 73/2
No. of tiles we need = 36½ / 2⅞
= 12.7 tiles
Thus, we need 12.7 tiles to create a frieze above a Forrest.
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If ABCD is dilated by a factor of, thecoordinate of A' would be:65CB21-6-5-4 -3 -2 -1 0-1A3NO2-31toD34 5A'=([?].[ ])
A' = (-2, -1)
Explanation:ABCD is dilated by a factor of 1/2
That is, scale factor = 1/2
From ABCD:
The coordinate of A = (-4, -2)
That is, x = -4
x' = 1/2 x -4
x = -2
y' = 1/2 x -2
y' = -1
A' = (-2, -1)
Complete the table by evaluating the function h(x)=−2x−5 for the given values of x.
The function h(x) is defined as:
[tex]h(x)\text{ = }-2x\text{ - 5}[/tex]We can find the value of the h(x) at different values of x by substituting the value of x into the function
When x = -2:
[tex]\begin{gathered} h(x=-2)\text{ = -2(-2) - 5} \\ =\text{ 4 - 5} \\ =\text{ -1} \end{gathered}[/tex]When x =-1:
[tex]\begin{gathered} h(x\text{ = -1) = -2(-1) - 5} \\ =\text{ 2 - 5} \\ =\text{ -3} \end{gathered}[/tex]When x =1:
[tex]\begin{gathered} h(x\text{ =1) = -2(1) -5} \\ =\text{ -7} \end{gathered}[/tex]T
