Answer:
[tex]comp_ab=\left(\dfrac{-5}{7}\right)[/tex]
[tex]Proj_ab=\left<\dfrac{15}{49},\dfrac{30}{49},\dfrac{-10}{49}\right>[/tex].
Step-by-step explanation:
The given vectors are
[tex]\vec{a}=<-3,-6,2>,\vec{b}=<1,1,2>[/tex]
Now,
[tex]|\vec{a}|=\sqrt{(-3)^2+(-6)^2+(2)^2}[/tex]
[tex]|\vec{a}|=\sqrt{9+36+4}[/tex]
[tex]|\vec{a}|=\sqrt{49}[/tex]
[tex]|\vec{a}|=7[/tex]
[tex]\vec{a}\cdot \vec{b}=(-3)(1)+(-6)(1)+(2)(2)[/tex]
[tex]\vec{a}\cdot \vec{b}=-3-6+4[/tex]
[tex]\vec{a}\cdot \vec{b}=-5[/tex]
The scalar projection of b onto a is
[tex]comp_ab=\left(\dfrac{\vec{a}\cdot \vec{b}}{|\vec{a}|}\right)[/tex]
[tex]comp_ab=\left(\dfrac{-5}{7}\right)[/tex]
Vector projection of b onto a is
[tex]Proj_ab=\left(\dfrac{\vec{a}\cdot \vec{b}}{|\vec{a}|}\right)\left(\dfrac{\vec{a}}{|\vec {a}|}\right)[/tex]
[tex]Proj_ab=\left(\dfrac{-5}{7}\right)\left(\dfrac{<-3,-6,2>}{7}\right)[/tex]
[tex]Proj_ab=\left<\dfrac{15}{49},\dfrac{30}{49},\dfrac{-10}{49}\right>[/tex]
Therefore, scale and vector projections of b onto a are [tex]comp_ab=\left(\dfrac{-5}{7}\right)[/tex] and [tex]Proj_ab=\left<\dfrac{15}{49},\dfrac{30}{49},\dfrac{-10}{49}\right>[/tex] receptively.
How many cans of each type of paint does Marc have left for day 3
Answer: how many cans did he have to begin with?
Step-by-step explanation:
what is the slope of the line below -3,2 3,2
a. negative
b.undefined
c. positive
d.zero
Answer:
0
Step-by-step explanation:
let (-3,2) be (x1,y1)
and(3,2)be(x2,y2)
Now,
slope = y2-y1/x2-x1
=2-2/3-(-3)
=0/3+3
=0/6
therefore slope=0
Two is subtracted from a number, and then the difference is divided by 3. The result is 30. Find the number.
Hey there! I'm happy to help!
Let's call this number n. Here is the equation we can write.
(n-2)/3=30
We multiply both sides by 3.
n-2=90
We add 2 to both sides.
n=92.
Have a wonderful day! :D
Simplify the expression: 4(9c − 7)
Answer:
36c - 28
Step-by-step explanation:
4(9c − 7)
Distribute
4 * 9c - 4*7
36c - 28
One number is three less than another. Their sum is seven. Find both number.
Answer: one number is 2 and the other is five
Step-by-step explanation: subtract 3 from five and you get two then add them together to get 7. hope this helps.
STEM The table shows the mass in grams of one atom of each of
several elements. List the elements in order from the least mass to
greatest mass per atom.
Answer: are you in 8th grade cuz i got that question on my math course 3 note book. And I need help for that one too lol
I found out the answer is hydrogen,carbon,oxygen, silver and gold
The mass from the least to the greatest is hydrogen, carbon, oxygen, silver and gold
What is the mass from least to the greatest?The mass is written in scientific notation. Scientific notation is used in expressing large numbers in smaller numbers.
For example:
• The number : 1 x [tex]10^{-2}[/tex] is equivalent to 0.01
• The number 5 x [tex]10^{-3}[/tex]is equivalent to 0.001
To learn more about scientific form, please check: https://brainly.com/question/25334755
#SPJ2
ricky has a bowl with 80 jellybeans in it. There are 16 red, 24 green,12 yellow,20 orange,ans 8 black jellybeans. Ricky takes one jellybean from the bowl without looking.
What is the probability he takes a yellow jellybean?
A)1/80
B)1/12
C)3/25
D)3/20
E)3/17
Answer:
D.3/20
Step-by-step explanation:
A 2000-kilogram sports car accelerates at a rate of 30 meters per second squared. The velocity of the car is v = at, where a is acceleration in meters per second squared, and t is time in seconds. The kinetic energy of the car is K E = one-half m v squared, where m is the mass in kilograms. Which function represents the kinetic energy of the car after accelerating for t seconds?
Answer: D
KE = 900,000t2
Step-by-step explanation:
Thom’s restaurant bill is $45 and he leaves a 20 percent tip. What is the total cost for Thom’s meal?
Answer: $54
Step-by-step explanation:
Thom's bill is $45 and leaves a 20% tip. So you add 45+20%=54
Answer:
54
Step-by-step explanation:
Edge 2021
f(2) =
...................
Answer:
-2
Step-by-step explanation:
u start from 2 on the x-axis and move down or up until there is a line there is an answer in your case its down, so the answer is -2
Reagan is buying candy by the pound, and so far her bag of candy weighs 0.45 pounds. Express this decimal as a fraction in simplest form.
Answer:
9/20
Step-by-step explanation:
0.45= 45/100= 9/20
18.4x-3.1=12.4x-16.9
Answer:
x=-2.3
hope this helps
f3 + 11g - 4h when f=3 g=2 h=7
Answer:
3
Step-by-step explanation:
3 x 3 = 9
11 x 2 = 22
4 x 7 = 28
9 + 22 = 31
31 - 28 = 3
hope this helps :)
#4. Identify the conclusion of the conditional statement: "I must reset the
clock if it's Daylight Saving time."*
A- I must reset the clock
B-It's Daylight Saving time
C-There is not conclusion
Answer:
C-There is not conclusion
Step-by-step explanation:
In a conditional statement, there is a hypothesis and a conclusion. It is usually symbolized or represented by " If X, then Y." It is an if - then statement.
Here, the statement "X" is called the hypothesis and the statement "Y" denotes the conclusion. The conclusion is true if the hypothesis is true.
The conclusion of any conditional statement is the immediate phrase that follows the word 'then'.
In the context, the sentence "I must reset the clock if it's Daylight Saving time." , the word 'then' is not there, so we can say that there is no conclusion in the statement.
Please help!!! Use the number line to add the fraction. Drag and drop the answer into the box to match the sum.
Answer:
1/8
Step-by-step explanation:
3/4 can be rewritten as 6/8 to make this easier.
-5/8 + 6/8 is like doing -5 + 6, giving you 1. We can then reintroduce the denominator to get the answer of 1/8.
HURRY!!!!
Rigid transformation test
will give 15 points
solve these two questions please
Solve the system by graphing.
2x + 3y = 6
6x= -9y + 18
Answer:y= -2x/3 + 2
Step-by-step explanation:
Convert to pints: 6 quarts
Answer:
12 pints
Step-by-step explanation:
Write an equation in point-slope form. Crossing the x-axis at x = -3 and the y-axis at y = 6
Answer:
y = 2x + 6
Step-by-step explanation:
The equation for a linear line is y = mx + c.
We know we want it to cross the y-axis at 6, so the y-intercept (c) can be assumed to be 6.
If we substitute in the x that we want, we end up with this:
0 = m(-3) + 6
m = 2
So now we can form the equation:
y = 2x + 6
Figure A is a scale image of Figure B.
What is the value of x?
Answer:
12
Step-by-step explanation:
30/25*10=12
Answer:
Step-by-step explanation:
Write y+1=-2x-3 in standard form
Answer:
y=2x-4
Step-by-step explanation: this looks alot like an equation for slope is it?
Answer:
-2x - y = 4
Step-by-step explanation:
Standard Form: Ax + By = k
Note that while k is a variable, it stands for constant, which means the number with no variables attached would fill in the space. Isolate the constant. Subtract y, and add 3 to both sides:
y + 1 = -2x - 3
y (-y) + 1 = -2x - 3 (-y)
1 = -2x - 3 - y
1 = -2x - 3 - y
1 (+3) = -2x - 3 (+3) - y
4 = -2x - y
Set the equation so that it looks like the standard form equation given above:
-2x - y = 4 is your answer.
~
y = x - 7, when x = 12.5
Hey there! Welcome to Brainly! I'm happy to help!
Let's plug this value of x into our equation.
y=12.5-7
y=5.5.
Have a wonderful day! :D
Steps to solve:
y = x - 7 when x = 12.5
~Substitute
y = 12.5 - 7
~Subtract
y = 5.5
Best of Luck!
Nancy buys 16 ounces of ice cream. Every
night after dinner, she eats three ounces. How
much ice cream will be left after four nights?
Make your own function table to solve.
Answer:
Hopefully you can read it
Step-by-step explanation:
Emily is a geometry teacher. She asks each student to bring in a cutout of a parallelogram. She tells them that one angle must measure 50° and the length of one side must be 10 centimeters. Emily also states that the parallelogram must not be a rhombus, rectangle, or square. Using this information, how many parallelogram(s) can each student prepare?
Answer:how many students
Step-by-step explanation:
Which number is 10 times as much as 90
Answer:
Hey mate 9 is ur correct answer
Answer: 900
Step-by-step explanation:
It takes a thermal drill 13 minutes to bore a hole -39 feet from ground level into a glacier. What is the change in depth after one minute?
Answer:
3 feet
Step-by-step explanation:
39 divided by 13 = the unit rate per min.
39 divided by 13 = 3
Answer:
-3 feet
Step-by-step explanation:
Divide -39 by 13, since it takes 13 minutes to dig -39 feet:
-39/13
= -3
So, the change in depth after one minute is -3 feet
Find the area of the region bounded by the graphs of the equations. y = −x2 + 4x, y = 0
Answer:
Area = 32/3
Step-by-step explanation:
To find the area bounded by the graphs, we will
need to first equate the y values;
-x^2 + 4x = 0
x^2 = 4x
divide both sides by x
x = 4
So the area we want to calculate now is the integral of -x^2 + 4x from 0 to 4
Please check attachment for the integration solution
Which sign makes the statement true is 1<,>,or =to -8
Step-by-step explanation: the greater than sign because 8 is greater than 1 boom there u go
What is the sign of each product? Choose positive or negative
Answer: the answer will be negative.
Step-by-step explanation: Once you have the numerical answer, then you can apply a very simple rule to determine the sign of the answer: When the signs of the two numbers are the same, the answer will be positive. When the signs of the two numbers are different, the answer will be negative.
8x-2=-947x
What does X stand for ?
Answer:
-7
Step-by-step explanation:
1st, regroup terms.
8x-2 = 7x -9
Next, subtract 7x from both sides.
8x-2-7x = -9
Next, Simplify 8x-2-7, to -2.
x-2 = -9
Add 2 to both sides.
x = -9 + 2
Simplify −9+2 to −7.
