The components of v are -2 and 1.
What are components of vector?
The components of a vector in two dimension coordinate system are usually considered to be x-component and y-component. It can be represented as, V = ([tex]v_x, v_y[/tex]), where V is the vector.
As, Vector v have an initial point at (6, -7) and a terminal point at (4, -6).
If initial point of vector [tex](x_1,y_1)[/tex] and terminal point is [tex](x_2,y_2)[/tex], then components of vector is
v= ([tex]x_2-x_1, y_2-y_1[/tex])
Initial point= (6,-7) and terminal point=(4,-6)
Then,
v= (4-6, -6-(-7))
v=(-2, 1)
Thus, the vector v=(-2, 1) have two components -2 and 1.
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Find the volume of a bird seed box with the following dimensions:
h = 26 cm
W = 10 cm
I = 17.5 cm
Which is the graph of Y=Vx-5-1
Answer:
^^
Step-by-step explanation:
Answer:
Slope: 1
y-intercept: (0, -6)
he average of 7 consecutive even integers is 10. What is the largest
of the 7 integers?
Answer:
only two brother ok bye
What is the value of x
Answer:
x = 24
Step-by-step explanation:
Sinθ = opposite side / hypotenuse
Sin30° = AB/BC
½ = 12/x
x = 12 × 2
x = 24
Answer:
x = 24
Step-by-step explanation:
SOH (Sin = Opposite/Hypotenuse)
CAH (Cos = Adjacent/Hypotenuse)
TOA (Tan = Oppositie/Adjacent)
The angle 30 degrees is given. The two values we have are 12 and x. 12 is opposite of the angle and x is on the hypotenuse of the triangle. Because we know this, we can plug those values into one of our formulas from earlier. This gives us the formula for sine.
Sin(30) = 12/x
Plug Sin(30) into your calculator. This gives you the value Sin(30) = 0.5
0.5 = 12/x
Multiply each side by x
0.5x = 12
Divide off 0.5 from both sides
x = 24
The figure below shows parallelograms ABCE, PQRS, and TNLM on a coordinate plane.
10
9
8
7
E
R
M
s
0
N
А
B
-10
.
The coordinates and relations between the points are:
· A(-3,-3); B(5,-3); C(5,5); E(-3,5)
Points S, P, Q, and R are midpoints of ABCE
T,N, Q, and M are midpoints of PQRS
Write the equation of line M L. Show your work.
.
From the graph, the coordinate of M and L will be (-1, 3) and (3, 3). Then the equation of the line ML will be y - 3 = 0.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
The figure below shows parallelograms ABCE, PQRS, and TNLM on a coordinate plane.
The coordinates and relations between the points are:
A(-3,-3), B(5,-3), C(5,5), and E(-3,5)
Then the equation of the line ML will be
From the graph, the coordinate of M will be (-1, 3) and the coordinate of L will be (3, 3).
Then the equation will be
[tex]\rm y- 3 = \dfrac{3-3}{3+1} (x - 3)\\\\y - 3 = 0[/tex]
Then the equation of the line ML will be y - 3 = 0.
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you take out a cash advance of
Answer:
$0
Step-by-step explanation:
Since there is no useful data in this question, we will fill in the blanks with what we know:
Amount of cash taken: $0
Therefore, you have taken a cash advance of $0
LOL
A packaging factory is open from Monday to Saturday.
In a particular week, 15,000 packets were packed on Monday and the factory was also closed on Tuesday.
If no less than 100,000 packets should be packed in that week, what is the minimum equal number of packets that must be packed per day for the remaining days?
packets
Answer:
A minimum of 21250 packets per day.
Step-by-step explanation:
If Monday produced 15,000 packets, and Tuesday was closed they produced 15,000 packets in 2 days.
The factory is open 6 days a week.
They need 100,000 packets.
They have 15,000 packets.
6 subtract 2 is 4.
100,000 subtract 15,000 is 85,000.
They need 85,000 packets in 4 days.
That is a minimum of 21250 packets per day.
21250 is minimum equal number of packets that must be packed per day for the remaining days
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that packaging factory is open from Monday to Saturday.
On monday 15,000 packets were packed.
On tuesday the factory is closed.
The factory has to pack in that week of 100000 packets.
As already 2 days completed by packing 15000
The remaining packets should be packed within 4 days.
The remaining packets are 100000-15000
85000
This should be done with in four days of time.
We need to find the minimum equal number of packets that must be packed per day for the remaining days.
Divide 85000 by 4
85000/4
21250
Hence, 21250 is minimum equal number of packets that must be packed per day for the remaining days
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How does the graph of f(x) = -4^5x - 3 differ from the graph of g(x) = -4^5x?
A. The graph of f(x) is shifted three units to the right of the graph of g(x).
B. The graph of f(x) is shifted three units down from the graph of g(x).
C. The graph of f(x) is shifted three units up from the graph of g(x).
D. The graph of f(x) is shifted three units to the left of the graph of g(x).
Using translation concepts, it is found that the correct option is given by:
B. The graph of f(x) is shifted three units down from the graph of g(x).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent function is:
[tex]g(x) = -4^{5x}[/tex]
The translated function is:
[tex]f(x) = -4^{5x} - 3[/tex]
3 was subtracted from the original function, which means that the translated function was shifted 3 units down, and option B is correct.
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What number line represents the solution to the inequality below
-6< -2x
Answer:
The answer is 3 or x<3.
Which of the following is both a natural and manmade contributor to the greenhouse effect and warming of our planet?
A. Nuclear radiation
B. Atmospheric radiation
C. Nitrogen footprint
D. Carbon cycle
XY is dilated by a scale factor of to form X'Y'. X'Y' measures 2. What
is the measure of XY?
Answer:
11
Step-by-step explanation:
if the other things are the XY and XY, then the other one needs to measure 11.
What is the volume of a rectangular prism with the dimensions: base 238 cm, height 113 cm, and length 334 cm?
Answer: 8,982,596 cm
Step-by-step explanation:
Rectangular Prism Volume = Height * Length * Width/base
238 cm * 113 cm * 334 cm = 8,982,596 cm
Element X decays radioactively with a half life of 14 minutes. If there are 310 grams
of Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 5 grams?
y = a(.5) /
Answer:
83.4
Step-by-step explanation:
True or False.
arcsin (sin theta ) = theta for all theta
The answer is true, but I am looking for an explanation.
The statement is true because the arcsin function is defined to be the inverse of the sin function.
What are inverse functions?
For invertible function f(x) (this means that f(x) has an inverse) we define the inverse function g(x) such that:
f(g(x)) = x
g(f(x)) = x
Now, particularly for the sin function, arcsin is defined as the inverse function.
Then by definition, arcsin must meet the conditions:
arcsin(sin(x)) = xsin(arcsin(x)) = xSo the answer is true for the definition of the arcsin function.
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Please help me please
Paul's mom gave him $25.00 on Monday morning to use on lunches. At his school, the school lunch costs $1.50, which he bought
Monday through Thursday. On Friday, he decided to buy 4 slices of pizza instead of buying the school lunch. If the pizza costs $1.60 per slice, then how much of the money is left at the end of the school week?
A. $18.80
B. $14.10
C. $12.60
D. $14.20
Answer:
C. $12.60
Step-by-step explanation:
he has $25.00 for the whole week
monday through thursday, or four days, he buys school lunch for $1.50
1.5 x 4 = 6
on friday, he buys 4 slices of pizza for $1.60 per slice
4 x 1.6 = 6.4
Expenses together:
6.4 + 6 = 12.4
Find what he has left:
25-12.4 = 12.6
C. $12.60
One day you consume 290 grams of carbohydrates, 60 grams of fat, and 70 grams of protein. What are your total calories for the day?
290 grams of carbs=
60 grams of fat=
70 grams of protein=
Total for the day=
explain please thanks
Answer: 1980 calories
Step-by-step explanation:
290grams of carbs=1160g
60 grams of fat=540
70 grams of protein=280 calories
290 x 4=1160
60 x 9=540
70 x 4=280
1160+540+280=1980 calories
carbs provide 4 calories per gram
fat provides 9 calories per gram
protein provides 4 calories per gram
Find the perimeter of the figure to the nearest hundredth. perimeter: about cm
The perimeter of the figure to the nearest hundredth is 50.26 cm.
Perimeter of a figure.The perimeter of a figure is the sum of the whole sides of the figure.
The perimeter of the figure can be found as follows:
perimeter of the figure = 12 + 5 + 5 + circumference of the semi circle
circumference of the semi circle = πr
where
r = radiusperimeter of the figure = 22 + πr
perimeter of the figure = 22 + 3.14(9)
perimeter of the figure = 22 + 28.26
perimeter of the figure = 50.26 cm
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The table displays the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.
Score Number of Students
65
5
70
6
75
8
80
2
85
9
90
1
95
6
100
3
Answer:
43.75, or 43.8 to the nearest 10th
Step-by-step explanation:
The mean is the mathematical average of a set of two or more numbers. Summing the numbers in a set and dividing by the total number gives you the arithmetic mean.
The total of your numbers is 700.
There are 16 numbers.
700 divided by 16 is 43.75
Evaluate the formula for the area of a triangle to solve the problem.
The area of a sandbox = one-half base times height. The height is 2.4 meters and the base is 3.5 meters.
Lokota wants to build a sandbox for his little brother. Determine the amount of sand he needs by finding the area of the sandbox. Use the drop-down menus to complete the statements.
First, write the
.
Next, use parentheses when you substitute
for b and
for h.
Now, simplify by
1
2
, 2.4, and 3.5.
The area of the sandbox is
m².
The area of the triangle will be 4.2 square meters.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The height is 2.4 meters and the base is 3.5 meters.
Then the area of the triangle will be
Area = 1/2 x b x h
Then we have
Area = 1/2 x 3.5 x 2.4
Area = 4.2 square meters
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✔ formula: A = 1/2 bh
✔ 3.5
✔ 2.4
✔ multiplying
✔ 4.2
Step-by-step explanation:
Took quiz
A small ranch is 0.4 of an acre. There is 0.2 of the piece of land that is used for vegetable crops. What part of the land is used for
the vegetable crops?
A. 0.12 of an acre
B. 0.08 of an acre
C. 0.18 of an acre
D. 0.06 of an acre
I WILL MARK YOU AS BRAINLESS IF YOU PLEASE HELP ME!!
Answer:
Correct answer is B. 0.08
Step-by-step explanation:
Suppose you roll a special 9-sided die. What is the probability that the number rolled is a "1" OR a "2"?
Answer:
P(1 or 2) = 2/9
Step-by-step explanation:
OR means we add each probability
If it is 9-sided, I will assume the die will be numbered 1-9
Probability of getting a 1 in mathematical notation is:
P(1) = 1/9
Probability of getting 2:
P(2) = 1/9
We add their probabilities since we want to know if we get either 1 or 2
P(1) + P(2) = 1/9 + 1/9 = 2/9
If the question asked what the probability was of getting a 1 and a 2 by rolling the die twice, we would multiply the probabilities together
1/9 x 1/9 = 1/81
How do I solve
[tex]2x^{2}+5x+2=0[/tex]
see the attachment...
hope it helps...!!!
Answer:
There are two solutions.
[tex]x_1 = -0.5\\x_2 = -2[/tex]
Step-by-step explanation:
Step 1
Use the formula of ax^2 + bx + c = 0 to find the coefficients.
[tex]a = 2\\b = 5\\c = 2[/tex]
Step 2
[tex]x=\frac{ (-b+/-sqrt(b^2-4ac))}{(2a)}\\x=\frac{ (-5 +/- sqrt(5^2-4*2*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(25-4*2*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(25-8*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(9))}{(2*2)}[/tex]
[tex]x = \frac{-5 +/- \sqrt{9} }{4}[/tex]
Step 3
[tex]9 = 3^2\\\sqrt{9} = \sqrt{3*3}\\\sqrt{3*3} = \sqrt{3^2}\\\sqrt{3^2} = 3[/tex]
Step 4
[tex]x_1=\frac{(-5+3)}{4} -- > x_2=\frac{(-5-3)}{4}\\x_1=\frac{(-5+3)}{4}\\x_1=\frac{-2}{4}\\x_1=-0,5[/tex]
[tex]x_2=\frac{(-5-3)}{4}\\x_2=\frac{(-8)}{4}[/tex]
[tex]x_2=-2[/tex]
Hope this helps.
Selling price of a book at 1300:00 with a profit of 200:00 what's the selling price
Answer:
sp= 1300
p=200
Sol...
1300-200=1100
Which number does not belong with the other three?
Answer:
Option D
Step-by-step explanation:
Option D is not proper scientific notation, as the exponent is not on the 10
Function g can be thought of as a translated (shifted) version of f(x) = x2.
Write the equation for g(2).
g(x)=
If the function f(x) is translated at a point (2, 6). Then the function g(x) will be given as g(x) = (x - 2)² + 6.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Function g can be thought of as a translated (shifted) version of f(x) = x².
Then the equation of the function g(x) will be
g(x) = (x - 2)² + 6
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Sarah makes a red hair bow using 21 4/5 inches of ribbon. She makes a purple hair bow using 18 1/4 inches of ribbon.
How much more ribbon is used to make the red hair bow than the purple hair bow?
Answer:
91/20 or 4 11/20
Step-by-step explanation:
First, convert the 2 amounts into improper fractions
Red: 21 4/5 = 114/5
Purple: 18 1/4 = 73/4
Then, using cross multiplication, you can give them the same denominator
Red: 114/5 = 456/20
Purple: 73/4 = 365/20
Then just subtract the numerators and keep the denominator
456/20 - 365/20 = 91/20
So your answer is
91/20 or 4 11/20
why x^2=16 and x^2=-16 do not have the same solution
Step-by-step explanation:
x^2 = 16
x = ±4
x^2 = -16
x = -
as a negative number cannot be squareroot
A family buys a studio apartment for $240,000. They pay a down payment of $48,000.
a. Their down payment is what percent of the purchase price?
b. What percent of the purchase price would an $84,000 down payment be?
a. The down payment is
(Type a whole number.)
% of the purchase price.
Answer:
A. 20% B. 35%
Step-by-step explanation:
a. (48,000 divided by 240,000) x 100 = 20
B. (84,000 divided by 240,000) x 100 = 35
Dan bought x pounds of potatoes for $0.85 per pound and y pounds of grapes for $1.29 per pound. The total cost was less than $5. Which inequality represents his purchase?
1.29x + 0.85y < 5
1.29x + 0.85y > 5
0.85x + 1.29y > 5
0.85x + 1.29y < 5
Answer:
0.85x + 1.29y < 5
Step-by-step explanation:
x and y will be the numbers of grapes and potatoes he purchased.
