Velocity is a vector, so it has a magnitude and direction.
Speed is its magnitude, which is obtained from
|〈-3, 4〉 m/s| = √((-3 m/s)² + (4 m/s)²) = √(25 m²/s²) = 5 m/s
Its direction is an angle θ made with the positive horizontal axis, satisfying
tan(θ) = (4 m/s) / (-3 m/s) = -4/3 → θ = arctan(-4/3) + 180°n
where n is any integer. Now you have to consider that the x coordinate is negative and the y coordinate is positive, so 〈-3, 4〉 points into the second quadrant, and we get an angle there for n = 1 of about
θ ≈ 126.87°
Alternatively, you can use the vector 〈1, 0〉 in place of the axis, then compute the angle by relating it to the dot product, so θ is such that
〈-3, 4〉 • 〈1, 0〉 = |〈-3, 4〉| |〈1, 0〉| cos(θ)
(-3)•1 + 4•0 = √((-3)² + 4²) • √(1² + 0²) cos(θ)
-3/5 = cos(θ) → θ = arccos(-3/5) + 360°n
where again, n is any integer, and we get the same solution θ ≈ 126.87° in the second quadrant when n = 0.
Andy bought 20 boxes of pizza. He gave 14 boxes of pizza to his cousins. Find the percentage of pizza left. Write the value or numbers only.
Answer:
there are 6 left
Step-by-step explanation:
can I please be brainliest
Answer: he has 6 boxes and the percentage is 30 percent
Step-by-step explanation: hope I helped you comrade also possible a brainliest?
A lender estimates the closing costs on a home loan will be 3% of the loan amount of $180,000. The actual closing costs are listed below.
Closing Cost
Charge
Loan origination
$345
Title insurance
$600
Attorney's fees
$1,350
Appraisal
$480
Inspection
$550
Recording fees
$175
Escrow
$1,900
Evaluate the lender's good faith estimate.
a.
The lender made an excellent estimate; it was equal to the actual closing costs.
b.
The lender made a very good estimate; it was within 0.25% of the actual closing costs.
c.
The lender made a fairly good estimate; it was between 0.25% and 0.5% of the actual closing costs.
d.
The lender made a poor estimate; it was higher than 0.5% of the actual closing costs.
An evaluation of the lender's good faith estimate shows a. The lender made an excellent estimate; it was equal to the actual closing costs.
Data and Calculations:
Estimated rate of closing costs of loan = 3% of loan amount
Loan amount = $180,000
Estimated closing costs = $5,400 ($180,000 x 3%)
Actual closing costs incurred:
Loan origination $345
Title insurance $600
Attorney's fees $1,350
Appraisal $480
Inspection $550
Recording fees $175
Escrow $1,900
Total actual costs $5,400
Actual costs in percentage = 3% ($5,400/$180,000 x 100)Thus, the lender made an excellent estimation. It equals the actual closing costs.
Learn more: https://brainly.com/question/21448382
Answer:
maybe I'm wrong but I think is A.
Step-by-step explanation:
What is 54% of $789.56
Answer:
$426.36
Step-by-step explanation:
0.54 * 789.56 = 426.3624
hope this helps, pls mark brainliest :D
If you take 54% of the amount of $789.56, the resulting value would be $426.83.
As we know that percentage is a ratio that is stated as a fraction of 100.
To determine 54% of $789.56, we follow these steps:
Convert 54% to decimal form by dividing it by 100.
54% = 54 ÷ 100 = 0.54
Multiply the decimal value (0.54) by the dollar amount ($789.56).
0.54 × $789.56 = $426.8324
Round the result to two decimal places.
Rounding $426.8324 to two decimal places gives us $426.83.
Therefore, 54% of $789.56 is approximately $426.83.
This means that if you take 54% of the amount of $789.56, the resulting value would be $426.83.
Learn more about the percentages here:
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The length of a rectangle is (x^2- 4x+2) feet and the width is (x+4) feet
Answer:
[tex]A=x^3-14x+8[/tex]
Step-by-step explanation:
Given that,
Length of a rectangle, [tex]l=(x^2- 4x+2)[/tex]
Width of a rectangle, [tex]b=(x+4)[/tex]
We need to find the area of the rectangle.
We know that,
Area of a rectangle = l × b
Substituting all the values,
[tex]A=(x^2- 4x+2)\times (x+4)\\\\=x^3+4x^2-4x^2-16x+2x+8\\\\=x^3-14x+8[/tex]
Hence, the area of the rectangle is [tex]x^3-14x+8[/tex].
grade 8 math PLEASE HELP
Answer:
C
Step-by-step explanation:
If each input value leads to only one output value, classify the relationship as a function.
Eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
If the t ratio for the slope of a simple linear regression equation is equal to 3.614 with a p-value of 0.006, then the slope is
Answer:
Then the slope is Significantly different from zero at both the 5% level and the 1% level.
Step-by-step explanation:
In statistics for a value to be said to be significant, this value has to be less than p value at the selected level of significance.
Here,
P value = 0.006
5% significance level = 0.05
0.006 < 0.05, so the slope value is significant at 5% significance level.
1% significance =0.001
0.006 is less than 0.01 so the slope coefficient is also significant at 1% significance level
Please help!! Please!!
Answer:x=B and y=D
Step-by-step explanation:plz leave a like
Select the correct answer.
Shania is making a scale diagram of the badminton court at the community center. She uses a scale of 1 centimeter to 0.5 meter to draw the scale diagram. If the scale length of the badminton court is 26.8 centimeters and the scale width is 12.2 centimeters, what is the actual area of the court?
A.
1,307.84 square meters
B.
326.96 square meters
C.
81.74 square meters
D.
78 square meters
There are 18 football teams in a league,
Each team plays two matches against each of the other teams,
Work out the total number of matches played,
Answer:
306
Step-by-step explanation:
18x17=306
The total number of matches played by the teams will be given by using permutation is 306.
What are permutation and combination?A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
There are 18 football teams in a league.
Each team plays two matches against each of the other teams.
Then the total number of matches played by the teams will be given by the permutation.
[tex]^{n}P_r = \dfrac{n!}{(n-r)!}[/tex]
We have
n = 18
r = 2
Then
[tex]\rm ^{18}P_2 = \dfrac{18!}{(18-2)!}\\\\\\^{18}P_2 = \dfrac{18!}{16!}\\\\\\^{18}P_2 = \dfrac{18 *17*16!}{16!}\\\\\\^{18}P_2 = 18*17\\\\\\^{18}P_2 = 306[/tex]
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
Mr. Bobby plans to spend no more than $200 on pizza and soda for a party. Each pack of soda costs $5.00 and each pizza costs $8.00. Which inequality could Mr. Bobby use to determine how many packs of soda, s, and how many pizzas, p, he can buy?
I need it asap, pls try to include Step-by-Step if possible :)
Answer:
You can buy 12 pizzas and 20 sodas with a small sum left over.
Step-by-step explanation:
(1) Is the slope of the line having y=5 as its equation zero or undefined?
(2) is the slope of the line having x=-4 as it’s equation zero or undefined?
Answer choices: (A)the slope is neither zero or undefined. (B) the slope is undefined. (C) the slope is zero
Answer:
(1) The slope of the line having y = 5 as its equation is zero ⇒ (C)
(2) The slope of the line having x = -4 as its equation is undefined ⇒ (B)
Step-by-step explanation:
The line is a horizontal line if the y-coordinates of all points lie on it have the same valueThe equation of the horizontal line is y = b, b is the y-intercept (0, b)The slope of the horizontal line is zeroThe line is a vertical line if the x-coordinates of all points lie on it have the same valueThe equation of the vertical line is x = a, a is the x-intercept (a, 0)The slope of the vertical line is undefinedLet us use the rules above to solve the question
(1)
∵ The equation of the line is y = 5
→ That means the line is horizontal
∴ The line is a horizontal line
∵ The slope of the horizontal line = zero
∴ The slope of the line having y = 5 as its equation is zero
(2)
∵ The equation of the line is x = -4
→ That means the line is vertical
∴ The line is a vertical line
∵ The slope of the vertical line is undefined
∴ The slope of the line having x = -4 as its equation is undefined
Help plz:))) I’ll mark u Brainliest
Please
Answer:
C. ∠10
Explanation:
A theorem states that the two angle that are in the same side and are opposite to each other, they add up to 180°, which is supplementary.
What is the answer to I love my pet / ages 5-6
Answer:
What is the answer to I love my pet / ages 5-6
What is the answer to I love my pet: aww, u mean it?
ages 5-6: goo goo ga ga
Are -16j and 4j like terms?
Which of the following numbers are irrational? Check screenshot.
Answer:
d
Step-by-step explanation:
i think it's d because it's negative
Answer:
It is c
Step-by-step explanation:
It doesn't matter if it's negative, irrational means when the number is never repeating like π
Can someone help with these two PLZ.
Answer:
5. 76
6. 24
Step-by-step explanation:
5.
x + x = 152
2x = 152
x = 76
6.
2x + 3x = 120
5x = 120
x = 24
What statement is true about the expression 4(9+6)?
Answer:
The thing true about that is that we can use the distributive property to simplify it.
4(9+6) = 4*9 + 4*6 = 36 + 24 = 60
Step-by-step explanation:
The table below shows that the number of miles driven by Nolan is directly proportional to the number of gallons he used.
Answer:
1835.16
Step-by-step explanation:
if you divide the miles driven by the gallons used, the answer is the # of gallons.
In this problem, 37.3 gallons is the gallons used so 49.2 x 37.3 = 1835.16
HELP FAST! PLEASE
What is the Domain and range?????
Domain: [tex]x \ge 0[/tex]
Domain in interval notation: [0, infinity)
This is because the domain is the set of all allowed x inputs. In this case, x = 0 is the smallest and we include this endpoint. Any x value x = 0 or larger is part of the domain (since the graph stretches' on forever to the right)
--------------------------------------------------------------------
Range: [tex]y \ge 2[/tex]
Range in interval notation: [2, infinity)
For similar reasoning as the domain, but now we consider the possible y output values. Here y = 2 is the smallest and we include it. Note the square bracket for interval notation means "include this endpoint". The curved parenthesis means "exclude this endpoint"
ce What is the distance between (-4,-10) and (-4, -4)? o 3 units 04 units 06 units 08 units
Answer:
06 units
Step-by-step explanation:
What are the solutions?
y=l^2-16k-4
Answer:
Step-by-step explanation:
y=l2−16k−4
Step 1: Flip the equation.
l2−16k−4=y
Step 2: Add -l^2 to both sides.
l2−16k−4+−l2=y+−l2
−16k−4=−l2+y
Step 3: Add 4 to both sides.
−16k−4+4=−l2+y+4
−16k=−l2+y+4
Step 4: Divide both sides by -16.
−16k
−16
=
−l2+y+4
−16
k=
1
16
l2+
−1
16
y+
−1
4
In the context of the passage as a whole, the first sentence of the third paragraph (“Yet . . . can do”) marks the transition between
Answer:
ITS D
Step-by-step explanation:
The answer is D, an explanation of a viewpoint and a rebuttal of that viewpoint. I got it right on AP Classroom.
A store sells a package of comic books with a poster. A poster and three comic books cost $10.50. A poster and 12 comics cost $19.50. Write a linear function rule that models the cost Y of a package containing any number of X comics. Suppose another store sells a similar package, modeled by a linear function rule with initial value $8.75. Use y = mx + b
answer:
there you goooo
Explanation
Answer:
It is either 10.50=3x+b or 19.50=12x+b
Step-by-step explanation:
Convert each measurement
18 meters = ??? centimeters
Answer:
18 meters = 1800 milimeters
Step-by-step explanation:
Hope this helps! :3
plz mark as brainliest!
Answer:
Just search it up. The answer is 1800
Step-by-step explanation:
Type.
Or there's another way.... you multiply if you want to convert a unit that is greater to smaller, and you divide if you want to convert a smaller unit to a larger one.
For example hours to minutes:
You cross out the word that matches. Here it's hour.
3.15 hours X 60 min/1 hour=189 min
189min X 60 sec/1min=11340 sec
and if it's from smaller to greater you divide, get it?
What is the coordinate of the center in the given equation? (x − 4)2 + y2 = 90
Answer: (4,0)
========================================================
Explanation:
The given equation is the same as (x-4)^2 + (y-0)^2 = (sqrt(90))^2
It is in the form (x-h)^2 + (y-k)^2 = r^2
We have the following
h = 4k = 0r = sqrt(90)The center is (h,k) = (4,0) and the radius is sqrt(90) units
Tinaya worked 44.5 hours last week. If she is paid
$11.25 an hour, what was her total pay for the week? |
Answer:
it is 500.625
Step-by-step explanation:
it is the right one
If an independent-measures design is being used to compare two treatment conditions, then how many different groups of participants would be needed and how many scores would there be for each participant
Answer:
2 groups and 1 score for each participant
Step-by-step explanation:
An independent measures design is a defined as a research method whereby multiple experimental groups are examined and the participants will only be in one group. Now, each participant will only be affected by one condition of the independent variable during the experiment.
In the question given, we want to use the method I just described to compare two treatment conditions.
This means that there will be two groups and each participant in both groups will be assigned one score.
Given a rational expression, identify the excluded values by finding the zeroes of the denominator.
x − 4
x2 + 2x − 24
The excluded values are x ≠ .
Step-by-step explanation:
In the rational fraction (x - 4)/(x² + 2x - 24),
x² + 2x - 24 is the denominator.
When x² + 2x - 24 = 0, (x + 6)(x - 4) = 0.
=> x = -6 or x = 4.
The excluded values for x are -6 and 4.
POINTS!!!
Use quadratic regression to find the
equation for the parabola going
through these 3 points.
(2, 19) (6, 99) (-1, 1)