The spam of the sets of vector of all linear combination is 0,
The span of the set {(2, 5, 3), (1, 1, 1)} is the subspace of R 3 consisting of all linear combinations of the vectors v 1 = (2, 5, 3) and,
v 2 = (1, 1, 1).
this defines a plane in R 3.
Since a normal vector to this plane in n = v 1 x v 2 = (2, 1, −3),
the equation of this plane has the form 2 x + y − 3 z = d for some constant d. the plane must contain the origin—it's a subspace— d must be 0.
A linear equation is an equation in which the highest power of the variable is always 1. it is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form. A linear equation only has one or two variables.No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line
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Marques has a points card for a movie theater. • He receives 70 rewards points just for signing up. • He earns 9.5 points for each visit to the movie theater. • He needs 184 points for a free movie ticket. Write and solve an equation which can be used to determine v, the number of visits Marques must make to earn a free movie ticket. Equation:
JUST LOOKING FOR THE EQUATION!!!!
thank you!!!
Answer:
184-70
=114
114/9.5
=12
Step-by-step explanation:
1. Needed points is 184 and rewards points was 70
2. So he need extra 114 points for free movie ticket
3. 114 divide by 9.5 which is earn piont for every time he buy ticket
The equation 70 + 9.5x = 184 represents the situation and the number of visits is 12 if Marques has a points card for a movie theater.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Marques has a points card for a movie theater. • He receives 70 rewards points just for signing up
Let x be the number of visits.
The linear equation can be framed as follows:
70 + 9.5x = 184
9.5x = 184 - 70
After solving the above linear equation in one variable:
9.5x = 114
x = 12
Thus, the equation 70 + 9.5x = 184 represents the situation and the number of visits is 12 if Marques has a points card for a movie theater.
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in a _____ sequence, the ratio between consecutive terms is constant.
Answer:
Geometric.
Step-by-step explanation:
For example
2, 4, 8, 16
where the common ratio is 4/2 = 8/4 = 16/8 = 2.
HELP what is 1.025 × 10 5 . In standard form
Answer:
102500
Step-by-step explanation:
The result can be shown in multiple forms.
Scientific Notation:
1.025
10
5
Expanded Form:
102500
What is the range of the function represented by the graph?
A.
y ≥ 1
B.
y ≤ 1
C.
1 ≤ y ≤ 6
D.
all real numbers
Answer:
A. y is more than are equal to 1
Step-by-step explanation:
range is y, lowest point is 1, highest is all real numbers, so range is anything more than 1
Answer:
B. y <= 1
Step-by-step explanation:
Because the function touches the point 1 on the y-line of the graph and goes upward into infinity, all values of y will be greater than or equal to one.
part a a wall is covered with 6 wood panels. each panel is a square with a side length of x feet. write an expression to represent the total area, in square feet, covered by the wood panels. the expression for total area: part b a rectangle has a length of 6 centimeters and a width of x 10 centimeters. write expressions to represent the perimeter of the rectangle. the expression for perimeter: part c write expressions to represent the area of the rectangle.
6x² is the total area, in square feet, covered by the wood panels.
What is area?
The region that an object's shape defines as its area.The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.A wall is covered with 6 wood panels. Each panel is a square with a side length of "X" feet.So based on this, we can say that The expression to represent the total area, in square feet,
So, the wood panels is to be considered as the 6 × x² = 6x²
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a random sample of 36 swimmers have a mean time of 3.91 minutes and a population standard deviation of 0.16 minutes. construct a 95% confidence interval of the population mean
Answer:
ksjsbs jsioeie jsisjbdbd
Step-by-step explanation:
Answer:
Step-by-step explanation:
For f (x):
f (x) = (x + 3) ^ 2 - 2
For x = -1
f (-1) = (-1 + 3) ^ 2 - 2
f (-1) = (2) ^ 2 - 2
f (-1) = 4 - 2
f (-1) = 2
For x = 3
f (3) = (3 + 3) ^ 2 - 2
f (3) = (6) ^ 2 - 2
f (3) = 36 - 2
f (3) = 34
AVR = ((34) - (2)) / ((3) - (- 1))
AVR = 8
For g (x):
linear graph with and intercept of negative 3 over 2 and x intercept of 3
y = mx + b
b = -3/2
For me we have:
0 = m (3) - 3/2
3m = 3/2
m = 1/2
The function g (x) is:
g (x) = (1/2) x - 3/2
For x = -1
g (-1) = (1/2) (- 1) - 3/2
g (-1) = -1/2 - 3/2
g (-1) = -4/2
g (-1) = -2
For x = 3
g (3) = (1/2) (3) - 3/2
g (3) = 3/2 - 3/2
g (3) = 0
AVR = ((0) - (- 2)) / ((3) - (- 1))
AVR = 1/2
For h (x):
Using the table we have:
AVR = ((62) - (14)) / ((3) - (- 1))
AVR = 12
6. a.give the domain and range for the function graphed below. Explain why this graph represents a function.
b. what is the y intercept of the function shown in the graph.
c. identify any extrema of the function shown in the graph.
Answer:
A - Domain - [0,9] , Range - [0,3] , It represents a function because it passes the (vertical line test).
B - (0,0)
C - I'm not sure about this question but, If i would guess, (0,0) (9,3).
Step-by-step explanation:
For question C i think It means maximum and minimum points on the graph.
Im sorry if you get any of it wrong.
-6(a+8) show your work
i need this ASAP
Answer:
-6a - 48
What is the distributive property?The distributive property states that for an expression a(b + c), it can be evaluated to ab + ac.
SolveTo distribute, expand the algebraic expression using the aforementioned policy.
[tex]-6(a+8)[/tex]
Multiply a and b together.
[tex]-6\times a=-6a[/tex]
Then, multiply a and c together.
[tex]-6\times8=-48[/tex]
Finally, add the two values together.
[tex]-6a+(-48)=-6a-48[/tex]
Final Answer[tex]\boxed{\bold{-6a-48}}[/tex]
Hey there!
Distributive Property formula:
a(b + c)
= a(b) + a(c)
= a * b + a * c
= ab + ac
Your equation: -6(a + 8)
Solving:
-6(a + 8)
= -6(a) - 6(8)
= -6 * a - 6 * 8
= -6a - 48
Therefore, your answer should be:
-6a - 48
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
why are objective observations so important to science? group of answer choices they can be stated by anyone they are 100% free of bias they can only be done by trained scientists they produce the numbers used in scientific calculations they are helpful in removing bias
The objective observations are so important to science because they are helpful in removing bias.
Objective observations are simply the direct observation recorded by an observer. It does not contain any personal interpretation by the observer. So it can be considered as a bias less observation.
In a scientific study, objective observations are equal to facts. An objective observer will not have a predetermined mind. So that observation will not contain prejudice. That is why it is not biased. So an objective observation helps in removing bias. So they are important in Science.
The opposite of objective observation is subjective observation. In a subjective observation, there is a chance of personal interpretations.
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I need help with this asap
Answer is 32.5 because the other ones isnt it
Find the average rate of change for the function f(x)=3^x+17
Using the intervals x=3 to x=6
The average rate of change for the function will be 234.
What is the average rate change of a function?It is the average amount by which the function is modified per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,
Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]
The function is given below.
f(x) = 3ˣ + 17
The value of the function at x = 3 will be
f(x) = 3³ + 17
f(x) = 27 + 17
f(x) = 44
The value of the function at x = 6 will be
f(x) = 3⁶ + 17
f(x) = 729 + 17
f(x) = 746
Then the average rate of change for the function will be
Average rate = [746 - 44] / [6 - 3]
Average rate = 702 / 3
Average rate = 234
The average rate of change for the function will be 234.
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Brian invests £6600 into his bank account.
He receives 0.6% per year compound interest.
How much will Brian haverafter 6 years?
Give your answer to the
nearest penny where appropriate.
At 0.6% per year compound interest. Brian will get 6841.19 after 6 years.
What is compound interest?The interest earned on savings that is computed using both the original principle and the interest accrued over time is known as compound interest.
It is said that Italy in the 17th century is where the concept of "interest on interest" or compound interest first appeared. It will accelerate the growth of a total more quickly than simple interest, which is solely computed on the principal sum.
Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.
Based on the given conditions, formulate: 6600×(0.6%+1) 6
Evaluate the equation/expression: 6841.19264
Round the number: 6841.19
Answer: 6841.19
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a translation along the directed line segment \overline{nb} nb start overline, n, b, end overline, then a reflection over the vertical line through point bbb.
A translation along the directed line segment NB then a reflection over the vertical line about B so sequence A is correct therefore option (A) will be correct.
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
Reflection is a mirror image of a graph about any axis.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
Given the triangle MNO and ABC
Now,
If we translate MNO along the directed line segment NB and reflect over B then M will coincide with A and N with B and O with C.
In sequence B if we reflect on MO then M will not coincide with A and it will not form a triangle ABC.
Hence "A translation along the directed line segment NB then a reflection over the vertical line about B".
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The given question has missed an image, incomplete question is given in the image,
2.5x17 pls some on solve it
Answer:
42.5
Step-by-step explanation:
You have to multiply 7 times 5 equals 35. Then you multiply 7 times 2 which is 14 plus 3 equals 5. So you have 175 as the first number. Then you put a 0 under that number. You multiply 5 times 1 which is 5 and 2 times 1 which is 2. Now you have 250 as your second number.
Add 175 plus 250 which is 425 but you have to put the decimal between 2 and 5. Now you have 42.5
Hope that helps
how many ways can a parent distribute five one-dollar bills to her three children? (b) how many ways can she accomplish this if each child gets at least one dollar?
By the concept of Permutations and Combinations, we get:
Number of ways to distribute 5 dollar bills among three children = 21
and
Number of ways to distribute 5 dollar bills such that each child gets at least one dollar = 6
What is permutations and combinations?A permutation is an orderly arrangement of the items or numbers. Combinations are a means to choose items or numbers from a collection or set of items without regard for the items' chronological sequence.Given:
Number of 1 dollar bills = 5Number of children = 3To find: (A) number of ways to distribute the dollar bills among the children
(B) number of ways to do the same if each child gets at least a dollar.
Finding:
By using the formula: [tex]\binom{n+r-1}{r-1}[/tex],
Number of ways to distribute 5 dollar bills among three children = [tex]\binom{5+3-1}{3-1} = \binom{7}{2}= \frac{7\times6}{2}[/tex] = 21 ways.
Similarly, upon modifying the above formula as: [tex]\binom{n-1}{r-1}[/tex],
Number of ways to distribute 5 dollar bills such that each child gets at least one dollar is =
[tex]\binom{5-1}{3-1}= \binom{4}{2}=\frac{4\times3}{2}[/tex] = 6 ways.
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45,000 - (-800) = 45,800
Answer:
True
Step-by-step explanation:
I'm assuming this is a true or false question, and so the answer is true. Because two negatives (-) equal a positive. So, 45,000 - (-800) actually is 45,00 + 800 because there was as subtraction sign and a negative sign.
Answer:
Step-by-step explanation:
45,000-(-800)=45,800
45,000-(-800) does =45,800
What is the perimeter of a rectangle with a length of 9x - 4 and a width of 5x + 2 ?
Answer:
28x-4
Step-by-step explanation:
Given
length (l)= 9x-4
Breadth (b) = 5x+2
Now
Perimeter (P) = 2(l+b)
=2(9x-4+5x+2)
=2(14x-2)
=28x-4
Simplify
-4+6/2=
wjjjj
Answer:
good luck broooooooooooo
Answer:
-1
Step-by-step explanation:
→ -4 + (6/2)
→ -4 +3 = -1
So, the answer is -1.
4/9 es racional o irracional y porque?
Answer: 4/9 es racional - cualquier fracción adecuada x/y es un número racional. Expresado como un decimal, esto es igual a 0.4 recurrente (es decir, 0.44444...)
Step-by-step explanation: ¡Espero que esto ayude!
El número 4/9 es un número racional. Es una razón, o fracción, formada por dos números enteros, 4 y 9.
in a poll conducted by a certain research center, 1046 adults were called after their telephone numbers were randomly generated by a computer, and were able to correctly identify the
In a poll conducted by a certain research center, 1046 adults were called after their telephone numbers were randomly generated by a computer, and were able to correctly identify the random sampling.
Each sample has an equal chance of being chosen as part of the sampling technique known as random sampling. A randomly selected sample is intended to be a fair representation of the entire population.
In statistics, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a procedure for randomly choosing a sample.
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Write 2.1 terminating as a mixed number
Answer:
2 [tex]\frac{1}{10}[/tex]
Step-by-step explanation:
.10
change it to 10/100
reduce by 10
1/10
Answer: 2 1/10
Step-by-step explanation:
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 number to the right of the decimal point, place the decimal number over 10^1(10). Next, add the whole number to the left of the decimal.
2 1/10
A bird flies from the bottom of a canyon that is 52
3
5 feet below sea level to a nest that is 789
3
10 feet above sea level. What is the difference in elevation between the bottom of the canyon and the bird's nest?
The difference in the elevation between the canyon and the bird's nest is 737. 3 feet
How to determine the value
From the information given, we have that;
The distance below the sea level = 52 3/ 5 feet , this would take a negative valueThe distance above sea level = 789 3/ 10, this would take a positive valueLet's convert the mixed fractions to improper fraction;
= - 263/ 5 = - 52. 6 feet
789 3/ 10 = 7893/ 10 = 789. 3 feet
The difference in the elevation between the canyon and the bird's nest ;
= -52. 6 + 789. 9
= 737. 3 feet
Thus, the difference in the elevation between the canyon and the bird's nest is 737. 3 feet
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What is the result when the number 24 is increased by 25%?
Answer:
When i24 is increased by 25% the answer is 30
Solve the inequality for v.
-12+v<-10
Answer:
v < 2
Step-by-step explanation:
To solve this problem, start by adding 12 to each side of the inequality, to clear the -12 from the left side. 10 + (-12) is 2, so your answer is v < 2.
Hope this helps! Let me know if you have any confusion!
Please help
Simplify the expression by combining like terms:
Answer:
2b² + 2b
Step-by-step explanation:
b + 3b² + b - b²
= 3b² - b² + b + b
= 2b² + 2b
Answer:
[tex] \sf \: {2b}^{2} + 2b [/tex]
Step-by-step explanation:
Given expression,
→ b + 3b² + b - b²
Let's simplify the expression,
→ b + 3b² + b - b²
→ (3b² - b²) + (b + b)
→ (2b²) + (2b)
→ 2b² + 2b
→ 2b(b + 1)
Hence, answer is 2b² + 2b.
in a certain clothing store, the ratio of the number of full-time employees to the number of employees who are not full-time is 1 to 4. if 5 more full-time employees were hired, the ratio would be 2 to 3. how many employees are employed by the store?
Answer: Total number of employees are employed by the store = 15 employees.
Step-by-step explanation:
The ratio of Full time employees to Not Full time employees would be 1 to 4.
Let, Full time employees F =1
Not Full time employees N =4
We can write:
F/N = ¼
Cross multiply to get:
N=4F
If 5 more Full time employees were hired, then the ratio would be 2 to 3.
This would be mean there are no (F+5) Full time employees.
Also there are still Not Full time employees.
We can write:
(F+5) / N = 2/3
Cross multiply to get:
3(F+5) =2N
Expand to get:
3F+15=2N
Replace N with 4F to get:
3F+15=2(4F)
Solve to get:
3F+15=8F
15=8F-3F
15=5F
F=3
So, there are presently 3 Full time employees.
How many employees does the store have?
Since F=3,
we can use the equation N=4F
To help find the value of N Replace F with 3 to get:
N = 4(3)
Solve to get:
N=12
So, Full time employees F=3
Not Full time employees N=12
Then, Total number of employees = F+N
= 3+12
= 15.
Hence, Total number of employees = 15 employees.
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Waylon made $14, $62, $40, and $36
mowing lawns. How much did he make
mowing lawns?
Find the focus and the directrix for the parabola with the given equation.
Answer:
[tex]\mathrm{Focus:\;\;} \left(-\frac{5}{3},\:2\right)[/tex]
[tex]\mathrm{Directrix:\;\;}x=-\frac{1}{3}[/tex]
Step-by-step explanation:
The standard equation for a parabola is
[tex]4p\left(x-h\right)=\left(y-k\right)^2[/tex]
with vertex at (h, k) and a focal length of |p|
[tex]\mathrm{Rewrite}\:x=-\frac{3}{8}\left(y-2\right)^2-1\:\mathrm{in\:the\:standard\:form}[/tex]:
[tex]\mathrm{Add\:}1\mathrm{\:to\:both\:sides}[/tex]
[tex]x+1=-\frac{3}{8}\left(y-2\right)^2-1+1[/tex] or
[tex]x+1=-\frac{3}{8}\left(y-2\right)^2[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-\frac{3}{8}[/tex]
[tex]\frac{x+1}{-\frac{3}{8}}=\frac{-\frac{3}{8}\left(y-2\right)^2}{-\frac{3}{8}}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-\frac{8x}{3}-\frac{8}{3}=\left(y-2\right)^2[/tex]
[tex]\mathrm{Factor\:}-\frac{8}{3}[/tex]
[tex]\left(-\frac{8}{3}\right)\left(x+\frac{-\frac{8}{3}}{-\frac{8}{3}}\right)=\left(y-2\right)^2[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\left(-\frac{8}{3}\right)\left(x+1\right)=\left(y-2\right)^2[/tex]
[tex]\mathrm{Factor\:}4[/tex]
[tex]4\cdot \frac{-\frac{8}{3}}{4}\left(x+1\right)=\left(y-2\right)^2[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]4\left(-\frac{2}{3}\right)\left(x+1\right)=\left(y-2\right)^2[/tex]
[tex]\mathrm{We\; can\; rewrite\:this\;as}[/tex]
[tex]4\left(-\frac{2}{3}\right)\left(x-\left(-1\right)\right)=\left(y-2\right)^2[/tex]
Comparing this with the standard form we get
[tex]\left(h,\:k\right)=\left(-1,\:2\right)[/tex]
[tex]\:p=-\frac{2}{3}[/tex]
The parabola is symmetric around the x-axis.
The focus lies a distance [tex]p[/tex] from the center [tex]\left(-1,\:2\right)[/tex] along the x axis
So focus is at
[tex]\left(-1+p,\:2\right)[/tex] [tex]=\left(-1+\left(-\frac{2}{3}\right),\:2\right)[/tex] [tex]=\bold{ \left(-\frac{5}{3},\:2\right)}[/tex]
The parabola is symmetric around the x-axis and so the directrix is a line parallel to the y-axis at a distance -p from the center
[tex]x=-1-p[/tex]
[tex]x=-1-\left(-\frac{2}{3}\right) = \bold{-\frac{1}{3}}[/tex]
Can someone please help me with proofs
[tex]\angle DAE \cong \angle DCF[/tex]
by CPCTC.
Carl used 24 blocks to build a tower. Each block is a cube with side length of 2 inches. Use the formula v = s3 to find the volume of a cube. What is the volume of the tower?
Answer:
184
Step-by-step explanation: