Answer:
15 in - (1.25 in/hr)t
Step-by-step explanation:
L(t) is a function of time, t: L(t) = 15 in - (1.25 in/hr)t
Note that when the candle has burned down to nothing, L(t) = 0. How long does that take? Set 15 in - (1.25 in/hr)t equal to zero and solve for t:
(1.25 in/hr)t = 15 in, or
15 in
t = ---------------- = 12 hrs
1.25 in/hr
The maximum point on the graph of the equation
y = f(x) is (2,-3). What is the maximum point on
the graph of the equation y=f(x-4)?
Answer:
(6, - 3 )
Step-by-step explanation:
Given f(x) then f( x + c) represents a horizontal translation of f(x)
• If c > 0 then a shift to the left of c units
• If c < 0 then a shift to the right of c units, thus
y = f(x - 4) represents a shift to the right of 4 units, so
(2, - 3 ) → (2 + 4, - 3 ) → (6, - 3 )
The maximum point on the graph after translation y = f( x -4) is (6 , -3)
What is translation of a graph?Translation of a graph is the movement of the graph either in horizontal direction or vertical direction .
Horizontal translation to the left is given by f (x+ c) ,c >0
: (x, y) → (x- c , y)
Horizontal translation to the right is given by f (x- c) ,c >0
: (x, y) → (x+ c , y)
Given that the maximum point on the graph of the equation
y = f(x) is (2,-3)
To find the maximum point on the graph of the equation y = f(x-4)
f(x -4) is Horizontal Translation to the right with 4 units , c= 4
then (x, y) → (x+ c , y)
Thus the maximum point (2,-3) is moved to ( 2 +c , -3)
⇒ (2+ c , -3) = (2+4 , -3) = ( 6 , -3)
Therefore, the maximum point of the graph of the equation y = f(x-4) becomes (6,-3)
Also, Learn more abut translation of graphs from the link below:
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A line has x-intercept -8 and y-intercept 5. Determine the slope of a line perpendicular to this line.
Answer:
- 8/5
Step-by-step explanation:
A line has x-intercept -8 and y-intercept 5.
It means the line has passes through:
(-8, 0) and (0, 5)Slope as per slope formula:
m = (y2-y1)/(x2-x1) m = (5 - 0)/(0 + 8) = 5/8Perpendicular lines have slopes negative reciprocal to each other
So the slope of the perpendicular line is:
m = -1/(5/8) = - 8/5Amir is starting a stamp collection. After 3 weeks he has collected 35 different stamps, and after 9 weeks he has collected 105 different stamps. What is the constant of proportionality in this direct variation?
Answer:
3/35
Step-by-step explanation:
Here, we want to know the constant of proportionality in this direct variation scenario
Since it is a direct variation, the form we are having would be;
x = ky
where x and y directly vary with each other and k is the constant of proportionality
Now, for the first relation
3 = 35k
for the second
9 = 105k
Thus k would be
3/35 which is the same as 9/105
Kindly note that 9/105 can be reduced to 3/35
So linking the number of weeks to the number of stamps collected, the constant of proportionality is 3/35
The answer is A.) y =35/3x
ALL YOU NEED TO DO IS DRAW THIS!!!!! Circle ω1 with center K of radius 4 and circle ω2 of radius 6 intersect at points W and U. If the incenter of 4KW U lies on circle ω2, find the length of W U. (Note: The incenter of a triangle is the intersection of the angle bisectors of the angles of the triangle)
Answer:
WU = (14√13)/13 ≈ 6.6564
Step-by-step explanation:
Call the incenter of ∆KWU point A. Call the center of circle ω2 point B.
Then ∠KWA has half the measure of arc WA. ∠AWU is congruent to ∠KWA, so also has half the arc measure. That is, ∠KWU has the same measure as arc WA and ∠KBW.
KB is a perpendicular bisector of chord WU, so ∆KWB is a right triangle, of which WU is twice the altitude to base KB.
The length of KB can be found several ways. One of them is to use the Pythagorean theorem:
KB² = KW² +WB² = 4² +6² = 52
KB = √52 = 2√13
The area of triangle KWB is ...
area ∆KWB = (1/2)KW·WB = (1/2)(4)(6) = 12 . . . . square units
Using KB as the base in the area calculation, we have ...
area ∆KWB = (1/2)(KB)(WU/2)
12 = KB·WU/4
WU = 48/KB = 48/(2√13) = 24/√13
WU = (24√13)/13 ≈ 6.6564
can someone help with all of of it ??
Answer:
y = -2x + 1
Step-by-step explanation:
First we're going to find the gradient (the number in the green box with the question mark).
We use the formula [tex]\frac{y2-y1}{x2-x1}[/tex] to calculate the gradient.
Let's make (-1, 3) be our (x1, y1), and (2, -3) be our (x2, y2).
Substitute the points into our formula:
gradient = [tex]\frac{(-3)-3}{2- (-1)}[/tex]
gradient = [tex]\frac{-6}{3}[/tex]
gradient = -2
Next, we're going to find the y-intercept (the number in the grey box)
Now that we have the gradient, our equation looks like this:
y = -2x + c
We use the letter c to represent the y-intercept of a linear graph.
Substitute one of the points given into the x and y in the equation. Let's use (-1, 3).
3 = -2(-1) + c
3 = 2 + c
c = 1
So our equation is y = -2x + 1
The diagram shows part of a regular polygon. The sides of this polygon subtend angles of 20° at the centre of the polygon. How many sides does the polygon have?
360÷20 = 18sides
U divide 360 by 20 because angles at the center add up to 360°
The given polygon will have 18 sides in total.
Given information:
The diagram shows part of a regular polygon.
The sides of this polygon subtend angles of 20° at the center of the polygon.
Let the polygon has n number of sides.
Now, the polygon is regular. So, its each side will be equal and it will make equal angle with the center.
The sum of angles made by all the sides will be equal to 360 degrees.
So, the number of sides n can be calculated as,
[tex]20\times n=360\\n=\dfrac{360}{20}\\n=18[/tex]
Therefore, the given polygon will have 18 sides in total.
For more details, refer to the link:
https://brainly.com/question/22831826
I will give you 10B points plus mark someone again for the Brainliest if you get this right.
Answer:
C
Step-by-step explanation:
Option c gives the actual representation of the question
Which of the following expressions can be used to find the area of the polygon? Select all that apply.
An irregular shape that is a rectangle with a piece missing from the upper right corner. The bottom length is twenty feet. The left side width is nine feet. The top length is eighteen feet with a rectangle cut out of the upper right corner. The right side width is six feet.
A. (9 × 20) – 6
B. (9 × 18) – (6 × 2)
C. (9 × 18) + (6 × 2)
D. (20 × 6) + (18 × 3)
E. (20 × 9) – (3 × 2)
Answer:
Option E
The shape is got using the expression: (20 X 9) - (3 X 2)
Step-by-step explanation:
to get the area of the shape, all we need to do is subtract the area of the smaller rectangular cut out from the area of the bigger rectangle.
The main trick here will be identifying the dimensions of both the larger rectangle and the smaller rectangle.
Dimensions of the larger rectangle:
Since we are told that the cut out is at the upper right corner, we can get the dimensions of the larger rectangle using the bottom length and the left width.
Thus we have Length = 20 feet, width = 9 feet
Dimensions of the smaller rectangular cutout.
We can get this by subtracting the dimensions of the top and right edges of the shape from their counterparts in the larger rectangle ( length an width)
length of cutout = ( 20-18) = 2 feet
width of cutout = (9-6) = 3 feet
Hence, the area of the shape is got using the expression:
(20 X 9) - (3 X 2)
Please give me the answer
Answer:
the median increases by 0
Step-by-step explanation:
Perform the operation indicated, then place the answer in the proper location on the grid. Write your answer in descending powers of a. (a 3 - 2a + 5) - (4a 3 - 5a 2 + a - 2)
The result of the given subtraction problem of expression will be -3a³ + 5a² - 3a + 7.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given expression,
(a³ - 2a + 5) - (4a³ - 5a² + a - 2)
⇒ a³ - 4a³ - 2a - a + 5a² + 5 + 2
⇒ -3a³ + 5a² - 3a + 7
Hence "The result of the given subtraction problem of expression will be -3a³ + 5a² - 3a + 7".
To learn more about expression,
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Heres is an problem please answer
Answer:
2
Step-by-step explanation:
the - means you have to subtract to add. so subtract 3 over 4 and you get 2
What is the midpoint of the line segment with endpoints (-5.5,-6.1) and (-0.5,9.1)
Answer:
(-3, 1.5)
Step-by-step explanation:
Take the averages of the x-coordinates and y-coordinates of the 2 points
-5.5 + -0.5 = -6. Divide by 2 to get the average: -6/2 = -3. So, -3 will be the x coordinate of the midpoint.
-6.1 + 9.1 = 3. Divide by 2 to get the average: 3/2 = 1.5. So, 1.5 will be the y coordinate of the midpoint.
The midpoint will be (-3, 1.5)
Part 1= You are shopping for a shirt, and you want to get the best deal. You go to two stores, the first of which is JCPenney. What is the cost of the shirt at JCPenney?
Part 2=The second store you go to is Macy's. What is the cost of the shirt at Macy? *
Part 3=Which store has the better deal? *
A- Macy's
B- JCPenney
Answer:
Macy’s
Step-by-step explanation:
let’s find the cost of each shirt
JCPenny’s: 14.99 x 0.80 = $11.99
11.99 x 1.06 = $12.70
The final cost of the JCPenny shirt is $12.70
Macy’s: 17.99 x 0.65 = $11.69
11.69 x 1.07 = $12.51
The final cost of the Macy’s shirt is $12.51
$12.51 is less than $12.70
So, the Macy’s shirt is the better deal :)
Noami visited the fabric store and purchased two yards of 45'' flat fold material at $2.29 yd. She then bought two more yards of 60'' 100$ cotton broadcloth at $5.89 yd. What was her
total bill, including a 5% sales tax?
Answer:
Total bill = $17.18
Step-by-step explanation:
Niomi purchased 2 yards of 45" flat fold material at $2.29/yd.
Cost of 2 yard of 45" flat fold material = 2.29 × 2
= $4.58
Shen then bought 2 more yards of 60" 100% cotton broadcloth at $5.89.
Cost of 2 more yards material = 5.89 × 2
=$11.78
Total cost of 4 yards cloth material with sales tax
= (4.58 + 11.78) + 5% of (4.58 + 11.78)
= $16.36 + (5% of $16.36)
= 16.36 + (0.05 × 16.36)
= 16.36 + 0.818
= $17.178
= $17.18
Please help! Correct answer only, please! I need to finish this assignment this week. Find the product AB, if possible. Explain if it is not possible. A. B. C. D.
Answer:
C
Step-by-step explanation:
The matrices are conformable for multiplication.
Multiply and sum the product of corresponding elements in row 1 of matrix A with elements in column of matrix B.
AB = [tex]\left[\begin{array}{ccc}5(2)+2(3)\\3(2)-1(3)\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}10+6\\6-3\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}16\\3\\\end{array}\right][/tex] → C
Please answer this question immediately ...I need help pls
Answer:
39/46
Step-by-step explanation:
Now, the key to answer this first is knowing the value of cos θ
Mathematically, when we have sin θ
What we have is the ratio of the opposite to the hypotenuse side
Thus, here, since sin θ = 5/13, this means that the opposite is 5 while the hypotenuse is 13
Now to complete the 3rd side of the triangle, we need to use the Pythagoras’s theorem
This states that the square of the length of the hypotenuse equals the sum of the squares of the two other sides
So let’s say the adjacent or the third side is d
This means that;
13^2 = 5^2 + d^2
d^2 = 13^2 - 5^2
d^2 = 169-25
d^2 = 144
d = √(144)
d = 12
The cosine of the angle mathematically is the ratio of length of the adjacent to that of the hypotenuse
and that is 12/13
Hence Cos θ = 12/13
What we need last to answer the question is cos2 θ
Using trigonometric identity;
Cos2θ = cos^2 θ - sin^2 θ
Inputing the values of sine and cos of the angle theta, we have;
cos2θ = (12/13)^2 - (5/13)^2
cos2θ = 144/169 - 25/169 = 119/169
Thus;
cosθ/(cos2θ + sinθ) = 12/13/(119/169 + 5/13)
= 12/13/(184/169)
= 12/13÷ 184/169
= 12/13 * 169/184
= (13 * 3)/46 = 39/46
two dice are thrown together find the probability of getting
a.) two 5s
b.) a total of 8
c.) two perfect square
d.) two even numbers
Find the volume of the figure.
*
9 cm
10 cm
2 cm
10 cm
9 cm
Answer:
Look up how to find volume and you'll get the answer right away
Step-by-step explanation:
On a coordinate plane, a curved line with minimum values of (negative 0.5, negative 7) and (2.5, negative 1), and a maximum value of (1.5, 1), crosses the x-axis at (negative 1, 0), (1, 0), and (3, 0), and crosses the y-axis at (0, negative 6). Which interval for the graphed function contains the local maximum?
Answer:
D Over the interval [4, 7], the local minimum is -7.
Step-by-step explanation:
Determine the constant of variation for the direct variation given.
2
1
1/2
Answer:
1/2
Step-by-step explanation:
The constant of variation is the same as the slope. From the graph, the slope is 1/2.
Answer:
I believe the answer is 2
-18/-32/41/8/-11 from least to greatest
Answer:
The answer is -32, -18, -11, 8, 41.
Step-by-step explanation:
For negative number, the greater the number the smaller it is. For example, -2 is smaller than -1. ( -2 < -1 )
For positive number, the greater the number the larger it is. For example, 1 is smaller than 2. ( 1 < 2 )
Answer:
-32, -18, -11, 8, 41
Step-by-step explanation:
Please help me with this. You need to find what’s the blue cone! Its due soon please help
Answer:
the first one is 4+10+10=24
the second one is 10-4=6
the third one is =4
the pink cone=10
the blue cone=4
I hope this help
and i am sure that is the answer
please give me the brainlest
Which of the following best explains why tan(5pi/6) doesn't equal tan(5pi/3)
1. The angles do not have the same reference angle.
2. Tangent is positive in the second quadrant and negative in the fourth quadrant
3. Tangent is negative in the second quadrant and positive in the fourth quadrant
4. The angles do not have the same reference angle or the same sign
Answer:
1. The angles do not have the same reference angle
Step-by-step explanation:
The angles are in the 2nd and 4th quadrants, so both have tangents with a negative sign. (This eliminates choices 2, 3, 4.)
The angles do not have the same reference angle.
_____
5π/6 has a reference angle of π/6.
5π/3 has a reference angle of π/3.
Answer:
The angles do not have the same reference angle.
Step-by-step explanation:
2π = 360°
π = 180°
5π/6 = [tex]\frac{5 * 180}{6}[/tex] = 150° (The reference angle here is 180° - 150° = 30°
5π/3 = [tex]\frac{5 * 180}{3}[/tex] = 300° (The reference angle here is 360° - 300° = 60°)
The reference angles are not the same and so the value of their tangents are not equal.
Solve the following equation for x: 2x − 3y = 6
Answer:
[tex] x = 3 + \frac{3y}{2} \\ [/tex]
Step-by-step explanation:
[tex]2x - 3y = 6 \\ 2x = 6 + 3y \\ \frac{2x}{x} = \frac{6 + 3y}{2} \\ x = 3 + \frac{3y}{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day !
PLEASE SOMEONE HELP ME ON 4,5, AND 6 ASAP.
Answer:
see below
Step-by-step explanation:
4. If ∠AYX = 25.5° that means that ∠XYZ = 25.5 * 2 = 51° because YA is the angle bisector.
5. If ∠XYZ = 64°, ∠AYZ = 64 / 2 = 32°.
6. You can construct ∠P and PQ by using a protractor. I'm not sure how to attach an image so I'll just tell you the answer I got for c which is about 3 cm.
simplify √x^2+6x+9 if x≥3
Answer:
simplified expression for √x^2+6x+9 if x≥3
is x+3
Step-by-step explanation:
[tex]\sqrt{x^2+6x+9} \\=>\sqrt{x^2+3x+3x+9} \\=>\sqrt{x(x+3)+3(x+3)} \\=>\sqrt{(x+3)(x+3)} \\=>\sqrt{(x+3)^2}\\=>(x+3) \ or -(x+3)[/tex]
but given that x≥3
then we have to negate solution -(x+3)\
Then simplified expression for √x^2+6x+9 if x≥3
is x+3
Select correct answer pls^^
It takes 48 hours if 12 people built the same wall.
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
3 x 12 x 129
Step-by-step explanation:
You can get your answer
Given the equation,D=m/v if D=6/7 and =m+3 then m=. A.18 B.-18 C.15
Answer:
m = 3.86
Step-by-step explanation:
D = 6 / 7
D = m + 3
6 / 7 = m + 3
6 / 7 + 3 = m
m = 3.86
HELP!!!!!!!!!!!!!…………………
Answer:
A
Step-by-step explanation:
[tex]\sqrt[4]{\dfrac{81}{16}a^8b^{12}c^{16}}= \\\\\sqrt[4]{\dfrac{3^4}{2^4}(a^2)^4(b^3)^4(c^4)^4} = \\\\\dfrac{3}{2}a^2b^3c^4[/tex]
Therefore, the correct answer is choice A. Hope this helps!
Haley used unit cubes to build a rectangular prism that is 5 units long, 3 units wide, and 4 units tall. Jeremiah used unit cubes to build a rectangular prism that has twice the volume of Haley's prism. Jeremiah's prism is 4 units long and 3 units wide. How tall is Jeremiah's prism?
Answer:
10 units
Step-by-step explanation:
Let us find the volume of Haley's prism and compare it with the volume of Jeremiah's.
The volume of Haley's prism is:
V = 5 * 3 * 4 = 60 cubic units
Jeremiah's prism has twice the volume of Haley's:
V(J) = 2 * 60 = 120 cubic units
This implies that:
120 = 4 * 3 * h
where h = height of prism
=> 120 = 12h
=> h = 120 / 12 = 10 units
Jeremiah's prism is 10 units tall.