Answer:
The correct option is;
Magnitude of 8 and direction angle equal to 0°
Step-by-step explanation:
The magnitude of a vector is given by the distance from the initial point of the vector, (which id the starting point) to the final point of the vector, which is the end point of the vector
From the graph, the starting point of the vector = (-2, 2·√2)
The end point of the vector from the graph = (6, 2·√2)
The magnitude of the vector = √(6 - (-2))² = 6 - (-2) = 6 + 2 = 8
The direction of the vector = arctan((The y-component of the vector)/(The y-component of the vector))
∴ The direction of the given horizontal vector = arctan(0/8) = arctan(0) = 0°
Answer:
A - Magnitude of 8 and direction angle equal to 0°.
Step-by-step explanation:
Edge. 2023
Use the Cross Products Property to solve x/35=2/7
Answer:
x/35 = 2/7
x = 2/7 ×35
x = 2×5
x = 10
Answer:
x = 10
Step-by-step explanation:
Equation Solving
A common strategy to solve equations given in a rational form is to eliminate denominators.
If the equation is given in the form:
[tex]\displaystyle \frac{x}{a}=\frac{b}{c}[/tex]
We use the cross-product property to make it linear:
cx = ab
And solve it easily by dividing by c.
We are given the equation:
[tex]\displaystyle \frac{x}{35}=\frac{2}{7}[/tex]
Cross-multiplying the denominators:
7x = 2*35
Solving:
x = 70/7=10
x = 10
A 6-meter wire will be cut into pieces that are each 0.15 meter in length. A 3-meter rope will be cut into pieces that are each 0.25 meter in length.
How many more pieces of wire than pieces rope will there be?
Answer:
that will be 40(wire)-12(rope)=28parts
Step-by-step explanation:
6meter wire div by 0.15 eq to 40
3meter rope div 0.25 eq to 12
so we use 40-12=28parts
6v^2+13v-8= −3 solve the equation for all real solutions
Answer:
v = -5/2, 1/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Standard Form: ax² + bx + c = 0FactoringQuadratic Binomial RootsStep-by-step explanation:
Step 1: Define
6v² + 13v - 8 = -3
Step 2: Solve for v
Add 3 to both sides: 6v² + 13v - 5 = 0Factor: (2v + 5)(3x - 1) = 0Find roots: v = -5/2, 1/3a company that makes hair care products had people try a new shampoo of the 300 people,45 had a mild allergic reaction. what percent of the people had a mild allergic reaction?
Answer:
.255
Step-by-step explanation:
I REALLY NEED HELP FAST PLEASE !!
Answer:
C: √768
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
1. A television set costs ₱35 000.00 and a yearly cost of electricity of ₱572.00
Answer:
whats the question for this?
Step-by-step explanation:
Rudolph is collecting Christmas trees to donate to needy families. He collects 31 trees He donates all of his trees to 3 of his friends Frazer gets 3 more trees than Sally Sally gets 7 fewer trees than flame How many trees do each of his friends get?
Answer:
Frazer = x = 10 trees
Sally = y = 7 trees
Frame = z = 14 trees
Step-by-step explanation:
We have 3 friends
They are represented by:
Frazer = x
Sally = y
Frame = z
Total number of trees donated = 31
Rudolph is collecting Christmas trees to donate to needy families. He collects 31 trees He donates all of his trees to 3 of his friends
Frazer gets 3 more trees than Sally
x = y + 3
Sally gets 7 fewer trees than Flame
y = z - 7
z = y + 7
How many trees do each of his friends get?
x + y + z = 31
y + 3 + y + y + 7 = 31
3y + 10 = 31
3y = 31 - 10
3y = 21
y = 21/3
y = 7 trees
x = y + 3
x = 7 + 3
x = 10 trees
z = y + 7
z = 7 + 7 trees
z = 14 trees
Therefore:
Frazer = x = 10 trees
Sally = y = 7 trees
Frame = z = 14 trees
The cost of tea varies directly with the
mass. Liz bought 4.5 kg of tea for $10.35.
What is the constant of variation?
Answer: $27.6 is the constant of variation.
I hope this helped!
soy ell idredle a admana gua uag uga jjejeje
Someone help please thx in advance
Find x to the nearest tenth
Answer:
15.1
Step-by-step explanation:
What is the slope of the line represented by the equation Y equals 4/5X -3?
-3
-4/5
4/5
3
Answer:
We conclude that the slope of the line represented by the equation [tex]y\:=\:\frac{4}{5}x-3[/tex] would be:
m = 4/5Step-by-step explanation:
We know that the slope-intercept of the line equation is
[tex]y=mx+b[/tex]
here
m is the slopeb is the y-interceptGiven the equation
[tex]y\:=\:\frac{4}{5}x-3[/tex]
comparing with the slope-intercept of the line equation
The slope = m = 4/5
Thus, we conclude that the slope of the line represented by the equation [tex]y\:=\:\frac{4}{5}x-3[/tex] would be:
m = 4/5Asphere with a radius of 7 m. What is the volume of the figure? Round your answers to the nearest tenth, if necessary.
a
1436.8m
b
1026.6m
С
1834.9m3
d
11494m
Answer:
a ) 1436.8 m³Step-by-step explanation:
R = 7 m
[tex]V=\frac43\pi R^3=\frac43\pi\cdot7^3=\frac{1372}3\pi\ m^3\approx1436.8\ m^3[/tex]
Solve for r.
23 = r + 11
r=
Please help me and tell me quickly and explain how you solve for r PLEASE
Answer:
r = 12
Step-by-step explanation:
23 = r + 11
23 - 11 = r
r = 12
Find the value of x. Show all work. Round your answer to the nearest tenth.
25
x
23
Please help
Answer:
8.9Step-by-step explanation:
[tex]\tan(23^o)=\dfrac{25}x\\\\\ x\tan(23^o)=25\\\\x=\dfrac{25}{\tan(23^o)}\\\\x\approx 58.9[/tex]
HELP ASAP ILL GIVE You 5 stars
What is the solution to this inequality?
7x + 25<=11
Answer:
Step-by-step explanation:
smplifying
7x + 11 = 25
Reorder the terms:
11 + 7x = 25
Solving
11 + 7x = 25
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-11' to each side of the equation.
11 + -11 + 7x = 25 + -11
Combine like terms: 11 + -11 = 0
0 + 7x = 25 + -11
7x = 25 + -11
Combine like terms: 25 + -11 = 14
7x = 14
Divide each side by '7'.
x = 2
Simplifying
x = 2
Answer: Inequality form: x<=-2
Interval notation: (-infinity,-2]
PLZ ANSWER. UR THE BEST IF U DO. I’LL GIVE BRAINLIEST
You basically can solve for hypothetical sides of this triangle using sohcahtoa backwards. In the first column, it says that adjacent/hypotenuse = .97. We can come up with two values that satisfy this equation. For example, the adjacent side can be .97 and the hypotenuse can be 1. These values don't matter as long as adjacent/hypotenuse is .97.
The second column tells us that opposite/hypotenuse = .26. At this point, we already have a hypothetical hypotenuse with a length of 1, so we can plug that in and find that the opposite side of C is .26.
Now that we have a hypothetical triangle with sides .97, .26, and 1, you can use these values as well as sohcahtoa to solve for the rest with respect to angle A. Keep in mind that the line AB is .26 and that the line BC is .97.
is y= -1/3x a direct variation?
Answer:
Yes
Step-by-step explanation:
It is a direct variation of the X,Y,Z family. This is due to the 3rd party uneven number.
Answer:
no
Step-by-step explanation:
If 3/4 pound of sugar makes 10 cakes, how much sugar, in pounds, is needed to make 1 cake?
Answer:
3/40 or 0.075 pounds
Step-by-step explanation:
Given that f(x) = x2 + 5x + 6 and g(x) = x + 2, find (fºg)(x) and
express the result in standard form.
US
Answer:
[tex](f\circ g)(x)=x^2+9x+20[/tex]
Step-by-step explanation:
We have the two functions:
[tex]f(x)=x^2+5x+6\text{ and } g(x)=x+2[/tex]
And we want to find:
[tex](f\circ g)(x)[/tex]
This is equivalent to:
[tex](f\circ g)(x)=f(g(x))[/tex]
Therefore, we will have:
[tex]f(x+2)[/tex]
By substitution:
[tex]f(x+2)=(x+2)^2+5(x+2)+6[/tex]
Simplify. Square and distribute:
[tex]f(x+2)=(x^2+4x+4)+(5x+10)+6[/tex]
Rearrange:
[tex]f(x+2)=(x^2)+(4x+5x)+(4+10+6)[/tex]
Combine like terms:
[tex]f(x+2)=(f\circ g)(x)=x^2+9x+20[/tex]
Kerry has a collection of 1,100 baseball cards. Of these baseball cards, 40% are dated before 1970, 25% are dated from 1970 to 2000, and the rest are dated after 2000. How many baseball cards in Kerry’s collection are dated after 2000?
Answer:
385 cards
Step-by-step explanation:
First, find 40% and 25% of 1100.
2/5 * 1100
2200/5 = 440 cards dated before 1970
1/4 * 1100
1100/4 = 275 cards dated between 1970 and 2000
Then add the two amounts together.
440 + 275 = 715 cards between pre-1970 and 2000
After that, subtract your new sum from 1100.
1100 - 715 = 385 cards after 2000
(Or to make it easier, just find 35% of 1100.)
I need help! I don’t understand!
Answer:
33
Step-by-step explanation:
just coint how much is on each side then multiply it by 3
Find the coordinates of the reflection: B (8,-1) is reflected over the y-axis
Answer:
good for u
Step-by-step explanation:
which number below is a prime number 16 36 23 24
Answer:
23 is a prime number
Step-by-step explanation:
hsjsnsusjsbaknsjisnbs
ISSS THIS CORRECT??????please help
Answer:
I think that is correct, sorry if i get it wrong
Answer:
Step-by-step explanation:
(4,1) you are correct
thhe solution is the intersection of thhe 2 graphs because that point of intersection belongs to both lines in the same time
A client takes 112 tablets of medication four times per day for 4 days. How many tablets will the client have taken at the end of day four?
Answer:
1792
Step-by-step explanation:
1 day = 112 × 4
= 448
4 days = 448 × 4
= 1792
which property is used in the problem below
2(x+4)=2x+8
Answer:
Distributive property
The Distributive property. 2(x+4) got turned into 2x+8. The distributive property does this: 2 times x plus 2 times 4.
Step-by-step explanation:
Answer:God bless you and your family and friends and stay safe and good luck! :)
Step-by-step explanation:
The answer is C) The Distributive property.
2(x+4) got turned into 2x+8.
The distributive property does this:
2 times x plus 2 times 4.
2 times x = 2x
2 times 4 = 8.
So the answer is 2x+8.
C) Distributive property is right.
PLEASE HELP, I ONLY HAVE A FEW MINUTES TO TURN THIS IN BEFORE ITS NOT ACCEPTED!!
Jamila wants to play a game called "Guess my line". She gives you the following hints:
"Two points on my line are (1,1) and (2,4)
- What is the slope of her line?
- What is the y-intercept?
- What is the equation?
Answer:
The slope is 3, the y- intercept is -2, and the equation is y= 3x - 2
Answer:
[tex] \Large \pink{\tt \dfrac{i dunno}{..}}[/tex]
Leo wants to buy some shoes. He found the shoes at three different stores for a spice of $35. The stores are each having a sale. Which statement about the sale price of the shoes is true
Answer: Store Z has the best sale price of $28.
Step-by-step explanation:
Here is the complete question:
Leo wants to buy some shoes. He found the shoes at three different stores for a price of $35. The stores are each having a sale.
Store X is offering 15% off the price of the shoes.
Store Y is offering $5 off the price of the shoes.
Store Z is offering a discount 1/5 off the price of the shoes.
Which statement about the sale price of these shoes is true?
a. Store X has the best sale price of $20.
b. Store Z has the best sale price of $28.
c. Store Y has the best sale price of $30.
d. Store Z has the best sale price of $7.
Since Store X is offering 15% off the price of the shoes, the price of the shoe at store X will be:
= $35 - (15% × $35)
= $35 - (0.15 × $35)
= $35 - $5.25
= $29.75
Since Store Y is offering $5 off the price of the shoes, the price of the shoe at store Y will be:
= $35 - $5
= $30
Since Store Z is offering a discount off the price of the shoes, the price of the shoe at store Z will be:
= $35 - (1/5 × $35)
= $35 - $7
= $28
Base on the analysis above, Store Z has the best sale price of $28.
Find the value of x that makes the triangle a right triangle.
Answer:
Hi, I don't see an attachment with your question. But without any attachments to refer to. You use Pyrhagoras Theorem to solve this question.
Step-by-step explanation:
A^2 (Short side) + B^2 (Short side) = C^2 (Long side)
Stay safe and Merry Christmas! :)
16 - 3x = 4 + x
solve please
Answer:
x = 3
Step-by-step explanation:
Solution for 16-3x=4+x equation:
Simplifying
16 + -3x = 4 + x
Solving
16 + -3x = 4 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
16 + -3x + -1x = 4 + x + -1x
Combine like terms: -3x + -1x = -4x
16 + -4x = 4 + x + -1x
Combine like terms: x + -1x = 0
16 + -4x = 4 + 0
16 + -4x = 4
Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16
Combine like terms: 16 + -16 = 0
0 + -4x = 4 + -16
-4x = 4 + -16
Combine like terms: 4 + -16 = -12
-4x = -12
Divide each side by '-4'.
x = 3
Simplifying
x = 3Solution for 16-3x=4+x equation:
Simplifying
16 + -3x = 4 + x
Solving
16 + -3x = 4 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
16 + -3x + -1x = 4 + x + -1x
Combine like terms: -3x + -1x = -4x
16 + -4x = 4 + x + -1x
Combine like terms: x + -1x = 0
16 + -4x = 4 + 0
16 + -4x = 4
Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16
Combine like terms: 16 + -16 = 0
0 + -4x = 4 + -16
-4x = 4 + -16
Combine like terms: 4 + -16 = -12
-4x = -12
Divide each side by '-4'.
x = 3
Simplifying
x = 3Solution for 16-3x=4+x equation:
Simplifying
16 + -3x = 4 + x
Solving
16 + -3x = 4 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
16 + -3x + -1x = 4 + x + -1x
Combine like terms: -3x + -1x = -4x
16 + -4x = 4 + x + -1x
Combine like terms: x + -1x = 0
16 + -4x = 4 + 0
16 + -4x = 4
Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16
Combine like terms: 16 + -16 = 0
0 + -4x = 4 + -16
-4x = 4 + -16
Combine like terms: 4 + -16 = -12
-4x = -12
Divide each side by '-4'.
x = 3
Simplifying
x = 3