Answer:
1) = 180 degree reason = being AB is a straight line or supplementary
2) = angle AOB reason = being all the angles are of a straight line AB
3) = x + 2x+34 + 20 = 180 degree. reason being supplementary angle
4) = 42 degree
1) fill 180° in the blank
Reason :
Because AOB angles is half a page so it equals 180°
_________________________________
2)fill 180° in the blank
Reason :
AOE + EOF + FOB = AOB
And we have found that AOB angles is half a page so it equals 180°
_________________________________
3) 2x + 34 _ 180°
_________________________________
4) x = 42°
What is the final amount if 700 is increased by 4% followed by a further 3% increase?
Give your answer rounded to 2 DP
Sheri's brother gave Sam his collection of stamps when she left for collage. At that time, the value of the collection was $ 420. Eight years later, the stamp collection was worth $980. What is the rate of change?
Answer:
$70 / year
Step-by-step explanation:
Take the difference in the value
980-420 = 560
Divide by the number of years
8
560/8 = 70
The rate of change is 70 / year
Answer:
2.33 or 23% increase
Step-by-step explanation:
When we divide 980 by 420, the rate of change is 2.33... or 23% increase.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
PLEASE HELP!!! There is a zombie apocalypse and Rick and Daryll decide to go zombie hunting. They begin by walking 100 yards north from their base then they hear something to the right. They make a 90 degree turn to the right and walk another 100 yards. Rick and Daryll don't want to go too far from where they started. How far are they from their starting point?
Answer:
they should be either 150 yards away or 200 yards away.
Step-by-step explanation:
Btw The walking dead was a good choice
Find the directional derivative of f(x, y, z) = y2 – 2x² + z2 at the point P= (-5,2,1) in the direction of the origin.
The directional derivative of f(x, y, z) = y^2 – 2x^2 + z^2 at the point P = (-5, 2, 1) in the direction of the origin is 30√(30).
The directional derivative of a function f(x, y, z) in the direction of a vector u = <a, b, c> at a point P = (x₀, y₀, z₀) is given by the dot product of the gradient of f at P and the unit vector in the direction of u, which is
D_u(f)(P) = ∇f(P) · (u/||u||)
where ||u|| is the magnitude of the vector u.
In this case, we want to find the directional derivative of f(x, y, z) = y^2 – 2x^2 + z^2 at the point P = (-5, 2, 1) in the direction of the origin, which is the vector from P to the origin O = (0, 0, 0).
The vector from P to O is u = <0-(-5), 0-2, 0-1> = <5, -2, -1>, so we need to find the unit vector in the direction of u, which is:
u/||u|| = <5, -2, -1>/√(5^2 + (-2)^2 + (-1)^2) = <5/√(30), -2/√(30), -1/√(30)>
Next, we need to find the gradient of f at P = (-5, 2, 1), which is
∇f(P) = <∂f/∂x, ∂f/∂y, ∂f/∂z>(P) = <-4x, 2y, 2z>(-5, 2, 1) = <20, 4, 2>
Finally, we can compute the directional derivative of f at P in the direction of the origin as
D_u(f)(P) = ∇f(P) · (u/||u||) = <20, 4, 2> · <5/√(30), -2/√(30), -1/√(30)> = (100/√(30)) + (-8/√(30)) + (-2/√(30)) = 90/√(30) = 30√(30)
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The given question is incomplete, the complete question is:
Find the directional derivative of f(x, y, z) = y^2 – 2x^2 + z^2 at the point P= (-5,2,1) in the direction of the origin.
need help I’ve been stuck on this for awhile
Answer:
x= -35/4
Step-by-step explanation:
Hope it helps you!
9. In Jonah's restaurant, each table seats 4 people. Jonah has
78 napkins to place at the tables.
How many tables can Jonah set with the napkins he has?
How many more napkins will Jonah need to complete
ten more tables?
Step-by-step explanation:
78/4 = 19 tables can be set with the proper amount of napkins. There are 2 leftover.
For 10 more tables, you need 40 napkins total, but we have 2, so 38 napkins is what Jonah needs with what he has.
Type the correct answer in each box. Use numerals instead of words. This graph represents a quadratic function. What is the function’s equation written in factored form and in vertex form? Graph shows upward parabola plotted on a coordinate plane. The parabola has vertex at (2, minus 8) with the left slope at (0, 0) and the right slope at (4, 0).
The function’s equation written in factored form and in vertex form are respectively;
f(x) = 2x(x - 4)
f(x) = 2(x - 2)² - 8
How to Interpret Quadratic Graphs?The factored form of a quadratic function is;
f(x) = a(x - p)(x - q)
where:
p and q are the x-intercepts
a is a constant
Now, we are given x-intercepts as; (0, 0) and (4, 0)
Thus;
f(x) = a(x - 0)(x - 4)
f(x) = ax(x - 4)
To find a, substitute the given vertex (2, -8) into the equation and solve for a:
2a(2 - 4) = -8
-4a = -8
a = 2
Thus;
f(x) = 2x(x - 4)
The vertex form of a quadratic equation is;
f(x) = a(x - h)² + k
where:
(h, k) is the vertex
a is constant
Since vertex is (2, -8), then we have;
f(x) = a(x - 2)² - 8
Put the coordinate (0, 0) to find a;
0 = a(0 - 2)² - 8
4a = 8
a = 2
Thus;
f(x) = 2(x - 2)² - 8
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please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!! NO SCAM LINKS !!!!!!!!!!!!!!!!!!
Answer:
68.
Step-by-step explanation:
We have adjacent and hypotenuse given.
So, cosФ= adj/hpt
cos inverse=3/8
Ф=67.97=68.
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
805
Step-by-step explanation:
if 40 is increased to 56 what is the percent of change
Answer:
40% more.
Step-by-step explanation:
40% of 40 is 16. 40+16 is 56
Answer: 71%
Step-by-step explanation: 40/56*100
1-(1/3) x 1-(1/3) x 1/3
The solution is -4/9x + 1
Is it the answer you want?
5x=5y=1
15x-15y=-15 solve using substitution
Step-by-step explanation:
Step1
Make y the subject of the formula from equation 2
-15y/-15=-15-15x/-15
Y=15+15/15..............3
Substitute equ..... 3 to equ.... 1
5x-5(15+15/15)=1
5x-1(15+15/3)=1
3*5x-1*3(15+15/3)=1*3
15x-1(15+15)=3
15x-15-15pp=3
15x-30=3
15x=3+30
15x/15=33/15
x=2.2
From equation.....
5x-5y=1
5(2.2)-5y=1
11-5y=1
-5y=1-11
-5y/-5=10/-5
Y=-2
PROVE
FROM EQUATION ONE
5X-5Y=1
5(2.2)-5(-2)=1
11-10=1
1=1
SO Y=-2 AND X=2.2
Find the value of x.
9
32
27
11
Find the value of x in 2x – 13 = 5
Answer:
x=9
Step-by-step explanation:
So first, you have to add 13 to both sides to isolate the x so that will make the equation 2x=5+13. Add 5 and 13 to get 18. The equation will now be 2x=18. Divide both sides by 2 because we want x to equal one. This will make it x=18/2. Simplify that and get x=9
Hope this helps
Question
Find the value of x in 2x – 13 = 5 .
ANSWER
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication, and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Hence, this information ( x = 9 )
-Hope this helped.
Find (3+1) x (5+1) using the distributive property.
Answer: 24?
Step-by-step explanation: I am not 100% Its been a while since I used my math properties
Answer: 24
Step-by-step explanation:
(3+1) x (5+1)
3+1 = 4, 5+1 = 6
4 x 6
24
Have a wonderful day!
Which graphs present functions?
A. graph B and D
B. graph A only
C. graph D only
D. graph C and graph D
i had to do it again ya'll
Answer:
x = 36
Step-by-step explanation:
44 = 23 + 7/12x
21 = 7/12x
x = 36
Let' Check
44 = 23 + 7/12(36)
44 = 23 + 21
44 = 44
So, x = 36 is the correct answer.
Answer:
The answer is 6 okay this is the answer
Rút gọn biểu thức sau
(3\ +\ \frac{\frac{9}{2}}{\sqrt5}\ )\times\ ( 2-\sqrt5 )n + (3\ -\ \frac{\frac{9}{2}}{\sqrt5}) \times(2+\sqrt5 )
Answer:
Step-by-step explanation:
\(\left(3+\frac{\frac{9}{2}}{\sqrt{5}}\right)\left(2-\sqrt{5}\right)n+\left(3-\frac{\frac{9}{2}}{\sqrt{5}}\right)\left(2+\sqrt{5}\right)\)
\(\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{b}{c}}{a}=\frac{b}{c\:\times \:a}\)
\(=\left(\frac{9}{2\sqrt{5}}+3\right)\left(2-\sqrt{5}\right)n+\left(-\frac{\frac{9}{2}}{\sqrt{5}}+3\right)\left(2+\sqrt{5}\right)\)
\(\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{b}{c}}{a}=\frac{b}{c\:\times \:a}\)
\(=\left(\frac{9}{2\sqrt{5}}+3\right)\left(2-\sqrt{5}\right)n+\left(-\frac{9}{2\sqrt{5}}+3\right)\left(2+\sqrt{5}\right)\)
\(=\frac{-12-9\sqrt{5}}{2\sqrt{5}}n+6n+\left(3-\frac{9}{2\sqrt{5}}\right)\left(2+\sqrt{5}\right)\)
\(=\frac{-12-9\sqrt{5}}{2\sqrt{5}}n+6n+\frac{12-9\sqrt{5}}{2\sqrt{5}}+6\)
\(=\frac{\sqrt{5}\left(\left(3\sqrt{5}-12\right)n+12-9\sqrt{5}\right)}{10}+6\)
Consider this system of equations. Which shows the second equation written in slope-intercept form? y = 3 x minus 2. 10 (x + three-fifths) = 2 y y = 5 x + StartFraction 3 Over 10 EndFraction
Answer:
\(y = 5x + 3\)
Step-by-step explanation:
Given
\(y = 3x - 2\)
\(10(x + \frac{3}{5}) = 2y\)
Required
The second equation in slope intercept form
We have:
\(10(x + \frac{3}{5}) = 2y\)
Divide both sides by 2
\(5(x + \frac{3}{5}) = y\)
Open bracket
\(5x + 3 = y\)
Rewrite as:
\(y = 5x + 3\)
Hence, the equation in slope intercept form is: \(y = 5x + 3\)
Answer: I agree with the other person
Step-by-step explanation:
A rental car agency charges $180 per week plus $0.25 per mile to rent a car. How many miles can you travel in one week for $382.50?
Answer:
810
Step-by-step explanation:
382.50-180= 202.5
202.5 / 0.25= 810
Hope this helps!
Answer:
810 miles
Step-by-step explanation:
$180 a week is the fixed cost so we subtract this first.
($382.50 - $180 = $202.50)
The number left is the amount of dollars charged per mile.
So if we divide this number by $0.25, we get how many miles travelled.
($202.50 ÷ $0.25 = 810 miles)
use the law of exponents to simplify the following expression
Answer:
5x⁴
Step-by-step explanation:
10x⁸÷2x⁴=
5x⁴
between 1976 and 2016, the usa olympic team has participated in 10 olympic games (the team usa has missed the moscow 1980 games due to the cold war). the total number of gold medals won in each of the 10 games ranged between 33 and 83. the number of gold medals won in each of the games is listed below: 33 34 83 36 37 44 37 36 46 47 calculate the value, in number of gold medals, at the 69.5th percentile (show work). (2 points)'
To calculate the value at the 69.5th percentile, we first need to find the rank of this percentile.
69.5th percentile = (69.5/100) x 10 = 6.95th rank
Plugging in the values:
value = (6.95 - 6) / (7 - 6) x (44 - 37) + 37
value = 40.7
Therefore, the value at the 69.5th percentile is 40.7 gold medals.
To calculate the value at the 69.5th percentile, follow these steps:
1. Arrange the data in ascending order:
33, 34, 36, 36, 37, 37, 44, 46, 47, 83
2. Determine the position of the 69.5th percentile in the dataset:
Position = (Percentile / 100) * Total number of data points
Position = (69.5 / 100) * 10 = 6.95
Since the position is not a whole number, we'll need to interpolate between the values at positions 6 and 7.
3. Find the values at positions 6 and 7:
Value at position 6 = 37
Value at position 7 = 44
To interpolate between these two values, we use the percentile formula:
value = (rank - rank_ lower) / (rank_ upper - rank_ lower) x (value_ upper - value_ lower) + value_ lower
where:
- rank = 6.95
- rank_ lower = 6
- rank_ upper = 7
- value_ lower = 37
- value_ upper = 44
4. Interpolate between the values at positions 6 and 7:
Value at 69.5th percentile = Value at position 6 + ((Position - Position 6) * (Value at position 7 - Value at position 6))
Value at 69.5th percentile = 37 + ((6.95 - 6) * (44 - 37))
Value at 69.5th percentile = 37 + (0.95 * 7)
Value at 69.5th percentile = 37 + 6.65
Value at 69.5th percentile = 43.65
The value at the 69.5th percentile is approximately 43.65 gold medals.
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what is the relationship of the volume between a prism and a pyramid of the same dimensions?
The relationship of the volume between a prism and a pyramid of the same dimensions will be - Volume of prism = 3 × volume of a pyramid.
For say, we took a right-angled prism and a right-angled pyramid with the same base and height. So, according to the formula -
Volume of prism = Base area × height
Volume of pyramid = \(\frac{1}{3}\) × Base area × height
(Since, the volume of prism = Base area × height)
Volume of pyramid = \(\frac{1}{3}\) × Volume of prism
Volume of prism = 3 × Volume of pyramid
However, this relationship is specified for the right-angled prism and pyramid. So, with the formula, we can determine the relationship between the other types of prisms and pyramid as well.
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It's important to note that this relationship holds true for right prisms and right pyramids with the same base shape and height. For other types of prisms and pyramids or for different dimensions, the relationship may be different.
Regenerate response
Write the relation as a set of ordered pairs. A relation. An arrow goes from 0 to 2, 2 to 6, and 4 to 10. a. ordered pairs: {(0, 2), (2, 6), (4, 10)} b. ordered pairs: {(2, 0), (6, 2), (10, 4)} c. ordered pairs: {(0, 2), (6, 2), (10, 4)} d. ordered pairs: {(2, 0), (2, 6), (4, 10)} Please select the best answer from the choices provided A B C D
The relation should be written as a set of ordered pairs as follows: A. . ordered pairs: {(0, 2), (2, 6), (4, 10)}.
What is a function?In Mathematics, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.
This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable (x-value or domain) to an output variable (y-value or range).
What is an ordered pair?In Mathematics, an ordered pair is sometimes referred to as a coordinate and it can be defined as a pair of two (2) elements that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate (abscissa) and the y-coordinate (ordinate) on the coordinate plane of any graph such as the following:
Ordered pair = (0, 2)Ordered pair = (2, 6)Ordered pair = (4, 10)Read more on ordered pair here: brainly.com/question/25462418
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Use a(t) = −9.8 meters per second per second as the acceleration due to gravity. (Neglect air resistance.)
A canyon is 2500 meters deep at its deepest point. A rock is dropped from the rim above this point. How long will it take the rock to hit the canyon floor? (Round your answer to one decimal place.)
To solve this problem, we'll use the formula for displacement in a uniformly accelerated motion:
s = ut + 0.5at^2
Here, s represents the displacement (2500 meters), u is the initial velocity (0 m/s since the rock is dropped), a is the acceleration due to gravity (-9.8 m/s^2), and t is the time it takes for the rock to hit the canyon floor.
1. Substitute the given values into the equation:
2500 = 0 * t + 0.5 * (-9.8) * t^2
2. Simplify the equation:
2500 = -4.9t^2
3. Isolate t^2 by dividing both sides by -4.9:
t^2 = 2500 / (-4.9) = -510.2
Since the result is negative, we made an error in the sign of the acceleration due to gravity. It should be positive as the displacement is downward, which is the same direction as gravity. So, the correct equation should be:
2500 = 4.9t^2
4. Solve for t^2:
t^2 = 2500 / 4.9 = 510.2
5. Take the square root of both sides to find t:
t = √510.2 ≈ 22.6 seconds
Therefore, it will take the rock approximately 22.6 seconds to hit the canyon floor.
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How do you write 6x (to the 3rd power) -60x (to the 2nd power) +144x in factored form?
Answer:
6x(x-4)(x-6)Step-by-step explanation:
I assume your expression is:
6x^3-60x^2+144x.
I'll use that information.
Factor 6x^3−60x^2+144x
6x^3−60x^2+144x
=6x(x−4)(x−6)
bill has three one-piece jump suits, five pairs of work pants, and eight work shirts. he either wears a jump suit, or pants and a shirt to work. how many different possible outfits does he have?
He have 48 different possible outfits to wear at work with three one-piece jump suits, five pairs of work pants, and eight work shirts.
What is counting principle?The basic counting principle is a method for keeping track of all the potential outcomes in a situation. According to this statement, there are n m n times m n ways to carry out both of these actions if there are n ways to perform one action and m ways to perform another action after that.
Here,
5 pants with each of 8 shirts,
=5 x 8
=40 combinations of shirts and pants.
40 shirt/pants outfits + 8 jumpsuits = 48 total outfits.
With three one-piece jumpsuits, five pairs of work pants, and eight work shirts, he has 48 different work-appropriate outfit options.
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Find the area of the figure below composed of a parallelogram and one semicircle rounded to the nearest tenths place 
We have a parallelogram and a half of circle.
The area of parallelogram are: A=basis*height
The area of circle are: A=πr², where r is the radius (half of diameter). Thus the half circle have Area equals to:
Approaching π to 3,14
parallelogram:
b=26
h=13
A=13*26
A=338
Half circle:
r=12
A=(3,14*12²)/2
A=226,08
Total Area of the figure are:
A=338+226,08
A=564,08
Can someone please help me with this I don't understand take your time if you can explain it
please I need help with both problems .( also show work plz)
Answer:
4. x = 50
5. x = 5
Step-by-step explanation:
For question 4:
Multiply both sides: x + 35 = -15Move the constant to the right: x = -15 - 35Calculate: x = -50For question 5:
Move the constant to the right: -3x = -17 + 2Calculate the sum: -3x = -15Divide both sides: x = 5Answer:
4) x= -50
5) x= 5
Step-by-step explanation:
Number 5
Simplifying
-3x + -2 = -17
Reorder the terms:
-2 + -3x = -17
Solving
-2 + -3x = -17
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + -3x = -17 + 2
Combine like terms: -2 + 2 = 0
0 + -3x = -17 + 2
-3x = -17 + 2
Combine like terms: -17 + 2 = -15
-3x = -15
Divide each side by '-3'.
x = 5
Simplifying
x = 5
Number 4
x/5+7 = -3 // + 3
x/5+3+7 = 0
1/5*x+10 = 0 // - 10
1/5*x = -10 // : 1/5
x = -10/1/5
x = -50
x = -50