1. True False 3(2 + 4) = 3 x 2 + 4
2. True False 6(10 + 5) = 6 x 10 + 6 x 5
3. True False 7(20 + 8) = 7 + 20 x 8
4. True False 4(5 + 10) = 20 + 10 5. True False 2(6 + 11) = 12 + 22
Answer:
1. False
2. True
3. False
4. True
5. True
Answer:
Step-by-step explanation:
1. Fasle
2. True
3. False
FACTORIZE
A(X)=(x+2)^2(-x+2)(2x-1)
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An airplane is headed due south with an airspeed of 300 kph. A wind is blowing from the west at 120 kph. What is the ground speed and direction of the plane?
323 kph with a directional bearing of S 22° E
328 kph with a directional bearing of S 68° E
420 kph with a directional bearing of S 22° E
420 kph with a directional bearing of S 68° E
Answer:
a) 323 kph with a directional bearing of S 22° E
Step-by-step explanation:
to find the ground speed:
just do the pythagorean theorem.
c²=300²+120²
c²=104400
c=323
to find the directional bearing:
use the law of sines!
sin(90)/323 = sin(θ)/120
(*explanation: since the plane is heading due south and the wind is from due west, it makes a 90 degree angle; and the side opposite of the 90 degree angle is 323. set it equal to sin theta over 120; theta is the angle u r trying to find, and the side opposite of it is 120)
cross multiply:
120sin90=323sin(θ)
divide 323 on both sides:
sin(θ)=0.3715
use inverse sin to find out degree measure:
sin⁻¹(0.3715)=21.8
rounds up to 22.
The ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E. Therefore, option A is the correct answer.
To find the ground speed of the plane, we need to know what a vector is
What is a vector?
A vector is a variable that has both magnitude and direction.
Since the airplane is headed due south with an airspeed of 300 kph, its vector is V = (-300 kph)j.
Also, the wind is blowing from the west at 120 kph. Its vector is v = (-120 kph)i
Now, the ground speed of the plane V' is the resultant vector of the airspeed and wind speed.
What is a resultant vector?A resultant vector is the sum of two or more vectors.
So, V' = v + V
V' = (-120 kph)i + (-300 kph)j
So, its magnitude V' = √(x² + y²) where
x = -120 kph and
y = -300 kph.
So, V' = √[(-120 kph)² + (-300 kph)²]
= √[14400 kph² + 90000 kph²]
= √(104400 kph²)
= 323.11 kph
≅ 323 kph
The direction of the plane
Its direction, Ф = tan⁻¹(y/x)
Ф = tan⁻¹(-300 kph/-120 kph)
Ф = tan⁻¹(2.5)
Ф = 68.2°
From the South-line we have α = 90° - Ф = 90° - 68.2° = 21.8° ≅ 22°
So, the directional bearing of the plane is S22°E.
So, the ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E.
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Order −0.8, 2 3 , 1, −1 3 from least to greatest.
Answer:
-13, -1, -0.8, 1, 23
Step-by-step explanation:
Answer:
A or -0.8,-1/3, 2/3, 1
Step-by-step explanation
on edge 2020
what is n-4-9
(simply each expression)
:)
Answer:
n-14 ;)
Step-by-step explanation:
The simplified form of the given expression is n-13.
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that, an expression, n-4-9, we need to write this expression in the simplest form,
We can add -4 and -9, to write it in the simplest form,
n-4-9
= n-(4+9)
= n-13
Hence, the simplified form of the given expression is n-13.
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find the length of an arc of 40° in a circle with an 8 inch radius
Answer:
8π/9 plz give brainlies.
Step-by-step explanation: luv u (:
The square of a number is 12 less than 7 times the number. What is the number? –4 or –3 –4 or 3 –3 or 4 3 or 4
Answer:
Answer: D (3 or 4)
Step-by-step explanation:
S is the centroid of triangle NQL.
Q What is the length of NR?
P
N
4 units
In - 12
8 units
3n
36 units
S
R
48 units
M M
L
Answer:
The answer is 36 units.
Step-by-step explanation:
Got it correct on edg
What is 11712.60 rounded off to 2 significant figures??
Answer:
12000
Step-by-step explanation:
HELP ME OUT PLS AND TY
Answer:
No, the line does not pass (0,0).
No, the line does not pass (0,0)
Brainliest Appreciated!
Answer:
NoNoI hope this helps!
Which expression uses the associative property to make it easier to evaluate 8(1\2 · 1\3)? HELP PLZZZZ
Answer:
(8x1/2)1/3
Step-by-step explanation:
i took the quiz
Kim earns $48 washing 8 dogs. At this rate, how much does Kim earn washing 7 dogs?
Answer:42 dollars
Step-by-step explanation:
Answer:
42 dollars
Step-by-step ex
Tom's baseball team wins 5 out of every 12 games they play. If the team played 36 games, how many games did Tom's team win?
Answer:
Tom's team won 15 games
Step-by-step explanation:
divide 36 by 12 to find out how many every 12 games there are then multiply that number by five.
f(x) = 9x^3 + 2x^2 - 5x + 4 and g(x) = 5x^3 - 7x + 4
What is f(x) - g(x)? Show all of your steps and write final answer in factored form.
Step-by-step explanation:
f(x) - g(x)
9x³+2x²-5x+4 - (5x³-7x+4)
9x³+2x²-5x+4 - 5x³+7x-4
4x³+2x²+2x
2x(2x²+x+1)
What will the first step look like in a substitution problem?
y=2x
x+y=9
Answer:
x + 2x = 9
General Formulas and Concepts:
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Since we are using substitution, we must replace one variable in 1 equation as the 2nd equation.
We are given:
y = 2x
x + y = 9
Here we see that y equals 2x. We can go ahead and replace in the 2nd equation y.
x + 2x = 9
And we would solve from there.
What is the formula of area of a quadrant?
Answer:
that is, pi (π) multiplied by the radius squared (r2). Now, to calculate the area of a quadrant, divide the area of a circle by 4 (as four quadrants make a circle). We get, Area of a quadrant, A= (πr2)/4 Square units.
Reflect the point (4, —1) in (a) the x-axis and (b) the y-axis.
The coordinates of reflected points are:
(a) (4, 1)
(b) (-4, -1)
Use the concept of coordinate points defined as:
A pair of numbers that describe the exact position of a point on a cartesian plane by using horizontal and vertical lines are called the coordinates.
The given points are
(4, -1)
The objective is to find the point of reflection:
(a) Along the X-axis
(b) Along the Y-axis
(a) The reflection along the X-axis,
For the point (4, -1)
x coordinate is 4
y coordinate is -1
Keep the x coordinate the same and take the negative of the y coordinate.
Therefore,
The negative of y coordinate is -(-1) = 1
Hence,
The reflection of the point along x-axis is (4, 1).
(b) The reflection along the Y-axis:
Keep the y coordinate the same and take the negative of the x coordinate.
Therefore,
The negative of x coordinate is -(4) = -4
Hence,
The reflection of the point along y-axis is (-4, -1).
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Student A spent $9 on a bottle of school glue, a package of colored pencils, and a pencil pouch. Student B
spent $16 on two bottles of school glue, three packages of colored pencils, and a pencil pouch. Student C
spent $17 on a bottle of school glue, two packages of colored pencils, and two pencil pouches.
1. Which augmented matrix best represents the system of linear equations that could be used to
determine the price of each item?
Answer:
Step-by-step explanation:
...
[tex]\left[\begin{array}{ccc}1&1&1\\2&3&1\\1&2&2\end{array}\right] \left[\begin{array}{ccc}G\\C\\P\end{array}\right] =\left[\begin{array}{ccc}9\\16\\17\end{array}\right][/tex] is augmented matrix best represents the system of linear equations that could be used to determine the price of each item
What is Matrix?a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
Student A spent $9 on a bottle of school glue, a package of colored pencils, and a pencil pouch.
Let bottle of school glue=G
a package of colored pencils=C
pencil pouch=P
G+C+P=9
Student B
spent $16 on two bottles of school glue, three packages of colored pencils, and a pencil pouch.
2G+3C+P=16
Student C
spent $17 on a bottle of school glue, two packages of colored pencils, and two pencil pouches.
G+2C+2P=17
[tex]\left[\begin{array}{ccc}1&1&1\\2&3&1\\1&2&2\end{array}\right] \left[\begin{array}{ccc}G\\C\\P\end{array}\right] =\left[\begin{array}{ccc}9\\16\\17\end{array}\right][/tex]
is used to determine the price of each item
Hence [tex]\left[\begin{array}{ccc}1&1&1\\2&3&1\\1&2&2\end{array}\right] \left[\begin{array}{ccc}G\\C\\P\end{array}\right] =\left[\begin{array}{ccc}9\\16\\17\end{array}\right][/tex] is augmented matrix best represents the system of linear equations that could be used to determine the price of each item
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the population of fish in a pond from 2001 to 2014 is modeled by the function below where t is the years since 2001. using the function find the number of fish is the pond in 2014
[tex]p(t)=\frac{1125}{1+12e^{-0.17t} }[/tex]
Given :
The population of fish in a pond from 2001 to 2014 is modeled by the function below where t is the years since 2001.
[tex]p(t) = \dfrac{1125}{1+12e^{-0.17t}}[/tex] ...1)
To Find :
Find the number of fish is the pond in 2014.
Solution :
Number of years, t = 2014 - 2001 = 13.
Putting value of t in equation 1), we get :
[tex]p(t) = \dfrac{1125}{1+12e^{-0.17\times 13}}\\\\p(t) = 485.67[/tex]
p(t) ≈ 486
Therefore, number of fish in the pond in 2014 is 486.
Hence, this is the required solution.
Grace jump 66 times a minute. Zoe jumps 56 times a minute. They both Count Their jumps today and together they jump 1266 times in the total of 21 minutes how long did each girl jump
Answer:
Grace jumped for 9 minutes and Zoe jumped for 12 minutes
Step-by-step explanation:
Let Grace jumped for x minutes and Zoe jumped for y minutes
Grace jump no. of times in 1 minute = 66
Grace jump no. of times in x minutes = 66x
Zoe jump no. of times in 1 minute = 56
Zoe jump no. of times in x minutes = 56x
We are given that Their jumps today and together they jump 1266 times in the total of 21 minutes
So, x+y=21 ----1
66x+56y=1266 ---2
Substitute the value of x from 1 in 2
66(21-y)+56y=1266
y=12
x+y=21
x+12=21
x=21-12
x=9
Hence Grace jumped for 9 minutes and Zoe jumped for 12 minutes
Answer:
Grace jumped for 9 minutes and Zoe jumped for 12 minutes
Step-by-step explanation:
H
1499
S
R
104°
?
T
Find the measure of angle T.
What is the slope of this table?
х у
-2 15
-116
0 -3
1 -12
2 -21
3 -30
Determine if the triangles are congruent. If they are, state how you know.
Answer:
SAS
Step-by-step explanation:
If you flip the first triangle right side up, we can see that they are congruent in the same exact spots. The two sides are congruent, as well as the angle.
Answer:
They are congurrent by SAS criterion. SAS stands for side-angle-side where the angle is in between the 2 lines. In this we can see that 2 lines have been marked as well as the angle in both triangles. SAS is a valid criterion for proving congrurency and therefore these are congurent.
Really hard to explain through typing but hopes this helped
Step-by-step explanation:
Solve x^2 = 196 and c^3 = 216.
A) x = 14; c = −6
B) x = ±14; c = 6
C) x = ±14; c = ±6
D) x = ±14; no solution for c
y=2x+6, 3y=x-2 solve for unknown variables
Step: Solvey=2x+6for y:
y=2x+6
Step: Substitute2x+6foryin3y=x−2:
3y=x−2
3(2x+6)=x−2
6x+18=x−2(Simplify both sides of the equation)
6x+18+−x=x−2+−x(Add -x to both sides)
5x+18=−2
5x+18+−18=−2+−18(Add -18 to both sides)
5x=−20
5x/5=−20/5
(Divide both sides by 5)
x=−4
Step: Substitute−4forxiny=2x+6:
y=2x+6
y=(2)(−4)+6
y=−2(Simplify both sides of the equation)
Answer:
x=−4 and y=−2
I hope it helps you
I subtract 14 from a
certain number. I multiply
the result by 3. The final
answer is 3 What was the
number
Answer:
x = 15
Step-by-step explanation:
Let the number be x.
(x - 14) x 3 = 3
3x - 42 = 3
3x = 45
x = 15
This is a question on forming and solving an algebraic equation. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
The unknown number could be 15.
What is the fundamental principle of multiplication?If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given; I subtract 14 from a certain number. I multiply the result by 3. The final answer is 3 .
Let the unknown number be x.
(x - 14) x 3 = 3
3x - 42 = 3
3x = 45
x = 15
Hence, the unknown number could be 15.
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please help , giving brainliest and a thanks!!
Answer:
E
Step-by-step explanation:
When the absolute value of a number is trying to be found, you take the number inside and if its a negative it turns to a positive and if its a positive inside then it stays the same.
Answer:
BDE, absolute value is how far away it is from 0 so it is BD and E
Step-by-step explanation:
It says select all that apply aswell which is why there is more then one answer
Using the attached graph, find g−1(20) =
A. 4.0
B. 8
C. 4.2
D. 10
Is the following relation a function, yes or no?
{(-3,4),(3,1),(5,7), (8,9), (10, 12)}
yes
no
The function rule is that each input (x value in (x,y)) should only equal to one output and one output (y value) can have more than one input.
✯the following is a function, so yes.
Answer:
yes
Step-by-step explanation:
Which of the following is the equation that represents the line in the graph below? A- x=3y, B- x=3, C- y=3, D- y=3x
Answer:
d
Step-by-step explanation: