Answer:
-7x - 36
Step-by-step explanation:
x X 2 - 9 x X - 36
2x - 9x - 36
Answer:
( x + 3 ) ( x - 12 )
Step-by-step explanation:
x^2 - 9x - 36
= x^2 + 3x - 12x - 36
= x ( x + 3 ) - 12 ( x + 3 )
= ( x + 3 ) ( x - 12 )
2r=5s/2-s/4 (solve for s)
Answer:
s=8r/9
Step-by-step explanation:
2r=5s/2-s/4 multiply both sides by 4
8r=10s-s (5s times 4 = 20s and 20s/2=10s) combine like terms
8r=9s divide by 9 to isolate s
8r/9=s
divide 85/10 and 11/6
Answer:
85/10 = 8.5
11/6 = 1.83333333
Step-by-step explanation:
Step-by-step explanation:
change the ÷ into × flip the number too.
[tex] \frac{85}{10} \div \frac{11}{6} = \frac{85}{10} \times \frac{6}{11} [/tex]
Reduce the fraction with 5
[tex] \frac{85}{10} \times \frac{6}{11} = \frac{17}{2} \times \frac{6}{11} [/tex]
Reduce the numbers with the greatest common factor 2
[tex] \frac{17}{2} \times \frac{6}{11} = \frac{17}{1} \times \frac{3}{11} [/tex]
Just multiply now, To multiply the fractions , multiply the numerators and denominators separately
[tex] \frac{17 \times 3}{1 \times 11} = \frac{51}{11} [/tex]
Solution :
[tex] \frac{51}{11} [/tex]
Alternative form:
[tex]4 \frac{7}{11}[/tex]
[tex]4.63[/tex]
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Maths question, someone pls help me solve it
I need help. I’m a little bit confused
Answer: 65 degrees
Explanation:
The adjacent angle directly above angle 8 is congruent to the 115 degree angle (due to the corresponding angles theorem). This only works because p || q and q || r, so by the transitive property of parallel lines, we know that p || r.
Since the 115 degree angle and angle 8 pair up to form a straight line, we know that the two angles must add to 180 degrees
115+(angle 8) = 180
angle 8 = 180 - 115
angle 8 = 65 degrees
Answer:
[tex]m[/tex]∠8 = 65°
Step-by-step explanation:
The other side (angle) of 115 is [tex]n[/tex] and [tex]n =[/tex] ∠8
To find [tex]n[/tex] you need to subtract 180 - 115 giving you 65, and since n is angle 8, angle 8 is also 65 since the angles have a state of congruence...
I believe the answer is B.
Answer:
Yes, B is correct, the horizontal line test is used to test if an INVERSE is a function.
Step-by-step explanation:
Middle school math pls help
Answer:
2 3/4
Step-by-step explanation:
You need to find the greatest common factor of 4 and 2 then you multiply the 2 by 2 to get a 4 and multiply the 1, then you add those together to get 2 3/4.
evan is running a marathon. He wants to caculate his average speed between two checkppints. He reaches the 3- mile checkpoint after 0.75 hour and the 18- mile checkpoint after 2 hours what is evans average speed, in miles per hour between the two checkpoints
Answer:
12
Step-by-step explanation:
18/2-3/.75=15/1.25
The average speed of Even between two checkpoints is 9 miles per hour.
What is an average speed?The distance covered by the particle or the body in an hour is called the average speed. It is a scalar quantity. It is the ratio of the total distance to the total time.
We know that the average speed formula is given as,
Average speed = Total distance / Total time
Running a marathon is Evan. Between two checkpoints, he wants to compute his average speed. He takes 0.75 hours to go to the 3-mile checkpoint and 2 hours to get to the 18-mile milestone.
The average speed is given as,
Average speed = 18 / 2
Average speed = 9 miles per hour
The average speed of Even between two checkpoints is 9 miles per hour.
More about the average speed link is given below.
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Which mathematical operation is being used here?
Eight and some number
Answer:
All math operation
Basic Operations. The basic arithmetic operations for real numbers are addition, subtraction, multiplication, and division.
Step-by-step explanation:
18+ (-30)=
helpppppp
Answer:
[tex]18 + ( - 30) = 18 - 30 = - 12[/tex]
I hope I helped you^_^
c) Sarah and Maya must split the $15 they earned
scorekeeping a volleyball game. Sarah says, "There
is only one way to split this money, we both get
$7.50." Maya argued that there were an infinite
number of ways to divide up the money. Who is
correct? Prove their argument.
(I really need help, who is right, and tell me why please!)
Answer:
I think that Maya is right because the question doesn't state that they had to split it equally, you could split it infinite ways.
Step-by-step explanation:
You could give one person 8$ and the other7$. you could do it infinitely.
What does this mean
Find the area and perimeter of the shape
A man walked 6 kilometres per hour. How far does he walk between 9:30a.m 12 noon
Answer:
15
Step-by-step explanation:
if he walks 6 kilometres per hour multiply 6 times 2 and you get 12 and he walked for half an hour and half of 6 is 3 so 12 plus 3 equals 15
Answer:
15 km
Step-by-step explanation:
given:
1 hour=6 km
9:30--12:00=2.5 hours
•°•2.5×6=15 km
Tristen is making cookies and cream ice cream to sell at the school fair. He making 80 gallons of ice cream. He wants to make sure there is a full cookie in every 1/4 cup of ice cream. If there are 16 cups in a gallon, how many cookies will trustees need to make the ice cream? I need help asap
Answer:
5120 cookiesStep-by-step explanation:
Find the number of cups in 80 gallons:
80*16 = 1280 cupsNow multiply the number of cups by 4 since each cup of ice cream is equivalent of 4 cookies:
1280*4 = 5120
evaluate the expression when z= -5
100 divided (-z2)
Answer:the anwser is 4
Step-by-step explanation:
Higher Order Thinking A farmer grows
128 red tomato
plants and 102 yellow tomato plants. Each plant produces
about 32 tomatoes. The farmer plans to
sell each tomato
for a $2. Explain how to find a reasonable estimate for the
total amount of money the farmer will earn if she sells all
of the tomatoes.
Answer: 14720 dollars, or $14720
Step-by-step explanation:
128 red tomato plants plus 102 yellow tomato plants = 230 tomato plants in total.
230 plants with 32 tomatoes each = 7360 tomatoes in all
7360 x 2 dollars = 14720 dollars
margo is repaying a loan from her parents. she has already paid $315 and still owes them $1245. write an equation to find the original amount a of the loan
Answer:
n-315=1245
Step-by-step explanation:
n stands for the original amount of the loan. Margo has paid $315, so the original number minus what Margo has paid, and the equality is the amount that Margo still owes.
Please help.
A sports outlet received a shipment of
baseball gloves. Of the gloves, 13 were
black and the rest were tan. If there were
85 gloves in the shipment, how many were
tan gloves? Write an equation and solve.
Step-by-step explanation:
72 tan gloves and 13 black
Write 7 Times Square root 7 as a single power of 7
Answer:
7 to the power of 3/2
Step-by-step explanation:
7 is the same as 7¹ and [tex]\sqrt{7}[/tex] is the same as 7 to the power of 1/2
since the bases are both 7, we keep the base and add the exponents when we multiply with exponents, giving us:
7 to the power of 3/2
A toy factory can produce approximately 36,000 building blocks in just one minute! The function B(t)=36,000t approximates the total number of blocks produced over t minutes. In this context, what is the largest possible domain of B(t)?
Answer:
all real numbers greater than or equal to 0
Step-by-step explanation:
All real numbers greater than or equal to 0.
3y=9-12x I need the slope for this equation and the steps
Answer:
slope = -4
Step-by-step explanation:
3y = 9 - 12x
Rearrange the right-hand side:
3y = - 12x + 9
Next, Divide both sides by 3 to isolate y:
[tex]\frac{3y}{3} = \frac{-12x + 9}{3}[/tex]
y = -4x +3 this is the slope-intercept form where the slope, m = -4, and the y-intercept, b = 3.
Therefore, the slope = -4.
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e^3x.cos4x.sin2x hii please solv this you have to differentiate
Answer:
[tex]y = e^{3x}.cos4x.sin2x[/tex]
[tex]=> y' =- 3e^{3x}.4sin4x.2cos2x=-24.e^{3x}.sin4x.cos2x[/tex]
[tex]dy=y'.dx => dy = -24e^{3x}.sin4x.cos2x.dx[/tex]
Step-by-step explanation:
The function [tex]e^3^x[/tex].cos4x.sin2x on differentiating gives the solution as 2[tex]e^3^x[/tex]cos2x.cos4x - 4[tex]e^3^x[/tex]sin2x.sin4x + 3[tex]e^3^x[/tex]cos4x.sin2x.
What is Product rule in Differentiation?Product rule in differentiation states that, for two functions f(x) and g(x),
[tex]\frac{d}{dx}[/tex] [f(x).g(x)] = f(x) . [tex]\frac{d}{dx}[/tex][g(x)] + g(x) . [tex]\frac{d}{dx}[/tex][f(x)]
The question is to differentiate y = [tex]e^3^x[/tex].cos4x.sin2x
We have three functions here.
Let u = [tex]e^3^x[/tex] and v = cos4x.sin2x
[tex]\frac{d}{dx}[/tex] [u . v] = u [tex]\frac{d}{dx}[/tex][v] + v [tex]\frac{d}{dx}[/tex][u]
= [tex]e^3^x[/tex] [tex]\frac{d}{dx}[/tex] [cos4x.sin2x] + cos4x.sin2x [tex]\frac{d}{dx}[/tex] [[tex]e^3^x[/tex] ]
= [tex]e^3^x[/tex] [tex]\frac{d}{dx}[/tex] [cos4x.sin2x] + cos4x.sin2x (3[tex]e^3^x[/tex])
[tex]\frac{d}{dx}[/tex] [u . v] = [tex]e^3^x[/tex] [tex]\frac{d}{dx}[/tex] [cos4x.sin2x] + 3[tex]e^3^x[/tex]cos4x.sin2x
Let the above equation be equation E.
Again apply the product rule for [tex]\frac{d}{dx}[/tex] [cos4x.sin2x].
Let u' = cos4x and v' = sin2x
[tex]\frac{d}{dx}[/tex] [u'. v'] = u' [tex]\frac{d}{dx}[/tex][v'] + v' [tex]\frac{d}{dx}[/tex][u']
= cos4x [tex]\frac{d}{dx}[/tex][sin2x] + sin2x [tex]\frac{d}{dx}[/tex][cos4x]
= cos4x [2cos2x] + sin2x [-4sin4x]
= 2cos2x.cos4x - 4sin2x.sin4x
Substituting this is equation E, we get,
[tex]\frac{d}{dx}[/tex] [u . v] = [tex]e^3^x[/tex] [2cos2x.cos4x - 4sin2x.sin4x] + 3[tex]e^3^x[/tex]cos4x.sin2x
= 2[tex]e^3^x[/tex]cos2x.cos4x - 4[tex]e^3^x[/tex]sin2x.sin4x + 3[tex]e^3^x[/tex]cos4x.sin2x
Hence the function [tex]e^3^x[/tex].cos4x.sin2x on differentiating gives 2[tex]e^3^x[/tex]cos2x.cos4x - 4[tex]e^3^x[/tex]sin2x.sin4x + 3[tex]e^3^x[/tex]cos4x.sin2x.
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The sides of a triangle are in the ratio 12:17: 25 and its perimeter is 540cm. The area is:
a) 1000 sq.cm.
b) 5000 sq.cm.
c) 9000 sq.cm.
d) 8000 sq.m
1000
Step-by-step explanation:
Find the height of the triangle using the Pythagoras theorem
Then, use it to calculate the area of the triangle
The gitman siblings are in a fight, and they split up the play-room, but sarah needs/wants 1/3 of the house to make a cake. which part(s) of the house, should she get?
bathroom
Step-by-step explanation:
in a right triangle with a 30 degree angle, draw the perpendicular bisector of the hypotenuse. find the ratio of the length of the segment cut from this perpendicular bisector by the hypotenuse and the longer leg to the length of the longer leg
The perpendicular bisector of the of the hypotenuse side forms a right
triangle with the hypotenuse and the longer leg of the of the triangle.
The ratio, of the length of the segment cut from the perpendicular bisector by the hypotenuse and the longer leg to the length of the longer leg, is 1 : 3
Reason:
The given parameters are;
An acute angle of the right triangle = 30°
Let R represent the length of the hypotenuse side, we have;
The length of the longer leg, [tex]L_{ll}[/tex] = R × cos(30°) = [tex]\dfrac{\sqrt{3} }{2} \cdot R[/tex]
The perpendicular bisector forms a right triangle with a leg length = R/2
The length of the hypotenuse formed by the bisector is therefore;[tex]R_{bisector} = \dfrac{\dfrac{R}{2} }{cos(30^{\circ})} = \dfrac{\dfrac{R}{2} }{\dfrac{\sqrt{3} }{2} } = \dfrac{R}{\sqrt{3} }[/tex]
The length, L, of the segment cut by the hypotenuse and the longer leg is therefore;
[tex]L= R_{bisector} \times sin(30^{\circ}) = \dfrac{1}{2} \times \dfrac{R}{\sqrt{3} } = \dfrac{R}{2 \cdot \sqrt{3} }[/tex]
The ratio, of the length of the segment cut from this perpendicular bisector by the hypotenuse and the longer leg to the length of the longer leg, r, is therefore;
[tex]r = \dfrac{L}{L_{ll}} = \dfrac{ \dfrac{R}{2 \cdot \sqrt{3} }}{\dfrac{\sqrt{3} }{2} \cdot R} = \dfrac{2 \cdot R}{2 \cdot \sqrt{3} \times \sqrt{3} \times R } = \dfrac{1}{3}[/tex]
The ratio, of the lengths, r = [tex]\dfrac{1}{3}[/tex], therefore, r = 1:3
Learn more here:
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Answer:
1:3
Step-by-step explanation:
If the shorter leg is equal to x, AB is 2x and AC is x root 3.
AE is half of AB which is x.
Angle ADE is 90-30=60 degrees.
DE is x/root 3.
[tex]\frac{\frac{x}{\sqrt{3}} }{x\sqrt{3}} = 1:3[/tex]
A ball was dropped in a height of 81cm.Everytime it hits the ground,it bounces 2/3 of its previous height.What height will the ball have on the forth bounce.
Answer:
In ft - 0.52493432098, in cm - 15.9999981034704
Step-by-step explanation:
2/3 x 2/3 x 2/3 x 2/3 x (2.65748ft) -> 81 cm in ft
= 0.52493432098ft -> converted to cm = 15.9999981034704cm
The balanced scale represents the equation: 3x + 1 - 2x + 4
If two x blocks are subtracted from the right side and one numbered block is subtracted from the left side. What process will
balance the scale?
A)
subtract two x blocks from the left side and subtract one numbered block
from the left side
B)
subtract two x block from the left side and subtract one numbered block
from the right side
C)
subtract two x blocks from the right side and subtract one numbered block
from the left side
D)
subtract two x block from the right side and subtract one numbered block
from the right side
Answer:
B
Step-by-step explanation:
the equal is correctly
3x + 1 = 2x + 4
what was done now :
2 x-blocks (2x) subtracted from the right side, and 1 numbered block subtracted from the left side.
to reestablish balance and equality of both sides, we need to do more the exact same things - just in the other sides.
2 x-blocks subtracted from the LEFT side, and 1 numbered block subtracted from the RIGHT side.
and that is answer B.
19 - 6n = - 5 - 3 (2n - 6)
Answer:
Its 50
Step-by-step explanation:
Write the slope-intercept form of the given line. Include your work in your final answer. Type your answer in the box provided to submit your solution.
Answer:
The slope-intercept form of the given line is: y = -1/3x+1
Step-by-step explanation:
A cell phone company has noticed that the probability of a customer experiencing a dropped call decreases as the customer
approaches a cell-site base station. A company representative approached a cell site at a constant speed and calculated the
probability of a dropped call at regular intervals, and the probabilities formed the geometric sequence 0.8,04,0,2,0,1,0,05. If the
company representative continues calculating the probability of a dropped call, what will be the next term in the sequence?
A)
0.025
B)
0.005
C)
0,010
D)
0.0005
Answer:
the answer is B i think
Step-by-step explanation:
Any experts, help please.
Step-by-step explanation:
I am not sure who made the dots on the charts, but they are wrong.
y = 1/2 x + 3
domain means all valid values for x.
range means all valid values for y (the functional results).
x = 0
y = 1/2 × 0 + 3 = 3
x = 1
y = 1/2 × 1 + 3 = 3.5
x = 2
y = 1/2 × 2 + 3 = 4
x = 3
y = 1/2 × 3 + 3 = 4.5
x = 4
y = 1/2 × 4 + 3 = 5
so, the range is 3, 3.5, 4, 4.5, 5
y = x - 6
x = 10
y = 10 - 6 = 4
x = 12
y = 12 - 6 = 6
x = 14
y = 14 - 6 = 8
x = 16
y = 16 - 6 = 10
x = 18
y = 18 - 6 = 12
so, the range is 4, 6, 8, 10, 12