Answer:
5x - 6
Step-by-step explanation:
Antonia is buying a Special Edition PS5 Game that regularly costs $90. It is on sale for 40% off with an additional 25% off the discounted price.
What is the final sale price of the video game?
Answer:
$31.50
Step-by-step explanation:
Hope this helped!!
(I already answered this but it got deleted so, I'm too lazy to explain, sorry.)
Which equation has the same solution as 10x - x + 5 = 41
Answer:
20x-2x+10=82
Step-by-step explanation:
This is the answer because look all your doing is multiplying the values from the first equation by 2 meaning the proportions of the values are the same resulting in the same solution.
4 people can stay at a hotel for a week for 42£. Find the hotel cost bill for 3
people for a week?
Answer:
31.5
Step-by-step explanation:
divide 42 by 4 you would get 10.5, then multiple 10.5 by 3 and you would get 31.5 thats the answer
Hard qn on Trigonometric equations and identities, please help
Answer:
(i) [tex]OE = 0.6\cdot \sin \theta + 1.4\cdot \cos \theta[/tex], (ii) [tex]\theta \approx 33.368^{\circ}[/tex], (iii) The maximum value of OE is approximately 1.523 meters, which is associated with an angle of approximately 23.199º.
Step-by-step explanation:
(i) From Geometry, we get that sum of internal angles of trangle AOD.
[tex]\angle A + \angle O + \angle D = 180^{\circ}[/tex] (1)
If we know that [tex]\angle O = 90^{\circ}[/tex] and [tex]\angle A = \theta[/tex], then the value of [tex]\angle D[/tex] is:
[tex]\angle D = 180^{\circ}-90^{\circ}-\theta[/tex]
[tex]\angle D = 90^{\circ}-\theta[/tex] (2)
But we also have the following identity:
[tex]\angle D +\angle D' +\angle D'' = 180^{\circ}[/tex] (3)
If we know that [tex]\angle D = 90^{\circ}-\theta[/tex] and [tex]\angle D' = 90^{\circ}[/tex], then the value of [tex]\angle D''[/tex] is:
[tex]90^{\circ}-\theta +90^{\circ}+\angle D'' = 180^{\circ}[/tex]
[tex]\angle D'' = \theta[/tex] (4)
By Trigonometry, we derive the following formula:
[tex]OE = OD +DE[/tex]
[tex]OE = AD\cdot \sin A +CD\cdot \cos D''[/tex] (5)
If we know that [tex]AD = 0.6\,m[/tex], [tex]CD = 1.4\,m[/tex], [tex]A = \theta[/tex] and [tex]D'' = \theta[/tex], then the value of OE is:
[tex]OE = 0.6\sin \theta + 1.4\cos \theta[/tex] (6)
(ii) If we know that [tex]OE = 1.1\,m[/tex], then the value of [tex]\theta[/tex]:
[tex]0.6\cdot \sin \theta + 1.4\cdot \cos \theta = 1.1[/tex]
By trial and error, we find that [tex]\theta \approx 33.368^{\circ}[/tex].
(iii) Let [tex]OE = 0.6\cdot \sin \theta + 1.4\cdot \cos \theta[/tex], the first and second derivatives of the function are, respectively:
[tex]OE' = 0.6\cdot \cos \theta -1.4\cdot \sin \theta[/tex] (7)
[tex]OE'' = -0.6\cdot \sin \theta -1.4\cdot \cos \theta[/tex] (8)
We equalize the first derivative of the function to zero and solve for [tex]\theta[/tex]:
[tex]0.6\cdot \cos \theta - 1.4\cdot \sin \theta = 0[/tex]
[tex]1.4\cdot \sin \theta = 0.6\cdot \cos \theta[/tex]
[tex]\tan \theta = \frac{0.6}{1.4}[/tex]
[tex]\theta \approx \tan^{-1} \frac{0.6}{1.4}[/tex]
[tex]\theta \approx 23.199^{\circ}[/tex]
And we evaluate the second derivative:
[tex]OE'' = -0.6\cdot \sin 23.199^{\circ}-1.4\cdot \cos 23.199^{\circ }[/tex]
[tex]OE'' = -1.523[/tex]
Then, the critical value is associated with an absolute maximum.
The maximum value of OE is:
[tex]OE = 0.6\cdot \sin 23.199^{\circ}+1.4\cdot \cos 23.199^{\circ }[/tex]
[tex]OE \approx 1.523\,m[/tex]
The maximum value of OE is approximately 1.523 meters, which is associated with an angle of approximately 23.199º.
The lines represented by the equations 25y- 20x=100 and 5y - 4x = 20 are
Answer:
The system of equations represent the same line ⇒ B
Step-by-step explanation:
In the system of equations ax + by = c and dx + ey = f, if
a = d, b = e, and c = f, then the system of the equations represent the same linea = d, b = e, and c ≠ f, then the system of the equations represent two parallel linesa ≠ d, and/or b ≠ e, and/or c ≠ f, then the system of the equations represent two intersecting lines∵ The one line represented by the equation 25y - 20x = 100
→ Divide the terms of the equation by 5 to simplify it
∴ 5y - 4x = 20 ⇒ (1)
∴ a = 5, b = -4, c = 20
∵ The other line represented by the equation 5y - 4x = 20 ⇒ (2)
∴ d = 5, e = -4, f = 20
→ Compare the two equations
∵ a = d, b = e, c = f
→ By using the 1st case above
∴ The system of equations represent the same line
What is the nth term rule of the linear sequence below?
7, 9, 11, 13, 15, ...
Tn = 0
Answer:
the best number is 17 cuz the sequence is to add 2 sooo it's 17 then 19
Answer:
2n+5
Step-by-step explanation:
Sequence = 7,9,11,13,15 ....
tn = a + (n-1)d where a is first number, and d is common difference
tn = 7 + (n-1)2
= 7 + 2n - 2
= 2n+5
therefore tn (or nth term rule) = 2n+5
what’s the slope of -5,-6 and 12,7 I need help with how to do the math to thanks
Answer:
m = 13\17
Step-by-step explanation:
M represents the slope
7--6
______
12- -5
= 13\17
May i please get brainlyist
3. A uniform border on a framed photograph has the same area as the photograph. What are the outside dimensions of the border if the dimensions of the photograph are 25 cm by 30 cm? You must use partial factoring to solve this question.
PLEASE SHOW WORK
Answer:
hd
Step-by-step explanation:
NO WORK
Someone plz help me
Answer:
×2 , -2
Step-by-step explanation:
3×2= 6
6-2=4
4×2=8
8-2 =6
Answer:
x2, -2
Step-by-step explanation:
To figure out this problem, try applying the answers to the numbers already placed.
As seen in the sequence, First you multiply the number by two and therefore get the second number. Then you take that number and subtract two in order to find the next value, You repeat this process in order to find infinite values of the sequence.
I need help with both of them I'm confused...
Answer:
8) d
9) a
Step-by-step explanation:
8) C = d ·π
36 = d ·π
36 / π = d
9) 4π is the difference, which is 12.56
Multiply.
(2x2 - 4x)(6x2 - 5x)
A. 12x4 - 10x3 + 20x2
B. 1244 - 10x2 + 20x
C. 1244 - 34x2 + 20%
O D. 1244 - 34x3 + 20x2
Answer:
You would have to distribute each one or use the box method whinch gives you :
12x^4 − 34x^3 + 20x^2
Write the slope-intercept form of an equation of the line that passes through the point (5, -5) and is parallel to the graph of the equation 3x + y = -2.
Answer:
[tex]y=-3x+10[/tex]
Step-by-step explanation:
Parallel equations have same slope
Therefore slope of 3x + y = -2 is same as slope of other equation.
Slope of 3x + y = -2 is
m=-3
Now we have write equation having slope -3 and passing through point (5, -5)
[tex](y+5)=-3(x-5)[/tex]
[tex]y=-3x+10[/tex]
Lesson 2 Practice Problems
1. Which of the changes would keep the hanger in balance? Select all that apply.
A. Adding two circles on the left and a square on the right
B. Adding 2 triangles to each side
C. Adding two circles on the right and a square on the left
D. Adding a circle on the left and a square on the right
E. Adding a triangle on the left and a square on the right
In the United States, 13 out of every 20 cans are recycled. What percentage of cans are recycled?
Answer: 65%
Step-by-step explanation: divide 13/20 and get .65 which is 65%
a man bought a camera for rupees 460 and sold it at 5% profit find the selling price of the camera
Answer:
profit is 23 selling price is $483
Step-by-step explanation:
Cp of Camera=Rs.460
profit= 5%
so profit =5% of 460=(5*460)/100=Rs.23
then selling prices of camera= cp of camera + profit Rs=$460+23=483 hope this helps
please help i dont understand
Answer:
ok
Step-by-step explanation:
AD is 14mm (all sides of rhombus is the same in length)
CBD 32
ADC 44
AED 58
DAC 78
BE 16.8
give me a brainlist thanks
The vertices of ABC are A (-5, 5), B (-2,5), C(-2,3).
1. Graph the figure ABC.
2, Translate each vertex 3 units down and 4 units to left.
3. Draw and label the vertices A'B'C.
Answer:
It will be in the attachment below.
Step-by-step explanation:
Translating a vertex 3 units down and 4 units to the left means that the x coordinate is 4 less than before and the y is 3 less. So, subtract 4 from -5 to get -9; from -2 (twice) to get -6 (twice), and subtract 3 from 5 (twice) to get 2 (twice); from 3 to get 0. So, the new coordinates are (-9, 2), (-6, 2), and (-6, 0). The original shape is in red, and the translated shape is blue.
How many more sides does an octagon have than a pentagon?
Answer:
an octagon has 3 more sides then a pentagon
Step-by-step explanation:
A pentagon has 5 sides while a octagon has 8 sides and 8 -5=3
Answer:
octogon: 8 sides
pentagon: 5 sides
Explanation:
an octogon has three more sides than a pentagon.
PLEASE HELPP MEEEE 10 PT
What is the rule that describes the translation that maps ΔLMN onto ΔL'M'N?
A.3 units right and 4 units up
B.3 units left and 4 units up
C.3 units right and 4 units down
D.3 units left and 4 units down
Answer:
Translation by -4 units on the y-axis, and + 3 units on the x-axis.
Step-by-step explanation:
The answer is C
Write an equation of the line that passes through (2,2) and is parallel to the line y= 7x
Answer:
y = 7x + b must have the same slope
2 = 7(2) + b
7. In a right angles triangle if an angle measures 35º, then find the
measure of the third angle.
Answer:
55°
Step-by-step explanation:
A right angle is = to 90°
90° + 35° = 125°
Angles in a triangle add up to 180
180 - 125 = 55
Answer:
The answer is 55
Step-by-step explanation:
If all the angles of a triangle add up to 180°, and one of the angles are 35° and another is obviously 90° that means you have to add up the two angles, then subtract that answer from 180°
90 + 35 = 125
180 - 125 = 55
Hope you understand!
0.98 -1.9h
g= 17, h = 2
0.9g - 1.9h =
Answer:
11.5
Step-by-step explanation:
Answer:
11.5
Step-by-step explanation:
0.9(17) - 1.9(2) = and then solve
noah put 40 on his fare card. everytime he rides public transportation, 2.50$ is subtracted from the amount available on his card
Answer:
if you wanted to know how long it would take for it to all be depleted it would be. 16 times noah can go on public transportation
Step-by-step explanation:
What is the prime factorization of 6
Answer:
So, the prime factors of 6 are written as 2 × 3, where 2 and 3 are prime numbers. It is possible to find the exact number of factors with the help of prime factorisation. The prime factor of the 6 is 2 x 3. The exponent in the prime factorisation is 1 and 1.
:-))
Answer:
Factors of 6: 1, 2, 3, 6. Prime factorization: 2 x 3.
Step-by-step explanation:
what is 5x(2y+2) as a equivalent expression
Answer:
x ( 10 y + 10 )
Step-by-step explanation:
10 x ( y + 1 )
10 x y + 10 x
x ( 10 y + 10 )
hope i helped!
Determine whether the graph represents a linear or non-linear function. Explain
A. Non-linear, graph is a curve.
B. Linear; graph is a straight line.
С. Non-linear, graph is a straight line.
D. Linear, graph is a curve.
I need help ASAP!!! I don't understand how to do this please show the work too
Is Point M the midpoint of AB? Select Yes or No for each statement.
Answer:
A). Yes
B). Yes
C). No
D). Yes
Step-by-step explanation:
Coordinates of the midpoint of a segment joining two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] are given by [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex].
A). If the points are A(1, 2) and B(3, 4)
Coordinates of the midpoint M → [tex](\frac{1+3}{2},\frac{2+4}{2})[/tex]
M → (2, 3)
Yes.
B). Extreme points of segment AB are A(0, 8) and B(10, -1)
Coordinates of the midpoint will be,
M → [tex](\frac{0+10}{2}, \frac{8-1}{2})[/tex]
M → (5, 3.5)
Yes
C). Extreme points of segment AB are A(-7, -5) and B(6, 4)
Coordinates of the midpoint will be,
M → [tex](\frac{-7+6}{2}, \frac{-5+4}{2})[/tex]
M → (-0.5, -0.5)
NO
D). Extreme points of segment AB are A(4, -2) and B(6, -8)
Coordinates of the midpoint will be,
M → [tex](\frac{4+6}{2}, \frac{-2-8}{2})[/tex]
M → (5, -5)
Yes
PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 5 MINUTIES
Answer:
B Im pretty sure
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
just going by the trend this makes the most sense
The function f(x) is a quadratic function and the zeros of f(x) are -2 and 6. Assume the leading coefficient of f(x) is 1. Write the equation of the quadratic polynomial in standard form.
Step-by-step explanation:
Since the zeroes of f(x) are -2 and 6,
(x + 2) and (x - 6) are factors of f(x).
=> f(x) = (x + 2)(x - 6) = x² - 4x - 12.
Answer:
The function f(x) is a quadratic function and the zeros of f(x) are -2 and 6. Assume the leading coefficient of f(x) is 1.
(x+2) and (x-6) are the factors of f(x)
[tex]f(x) = (x + 2)(x - 6) \\ = {x}^{2} - 6x + 2x - 12 \\ = \boxed{{x}^{2} - 4x - 12}[/tex]
(x²-4x-12) is the right answer.