What is the product?
(5r − 4)(r2 − 6r + 4)
5r3 − 34r2 + 44r − 16
5r3 − 4r2 + 14r − 16
5r3 − 6r − 16
5r3 + 10r − 16
Answer:
5r³ - 34r² + 44r - 16
Step-by-step explanation:
[tex] \small \sf \: (5r − 4)(r² − 6r + 4)[/tex]
use the distributive property
5r × (r² − 6r + 4) - 4× (r² − 6r + 4)
5r³ - 30r² + 20r - 4r² + 24r - 16
combine like terms
5r³ - 30r² - 4r² + 20r + 24r - 16
5r³ - 34r² + 44r - 16
The product of the expressions is 5r^3 - 34r^2 + 44r - 16
What is a product?The product of two expression is done by multiplying the expressions
The product expression is given as:
[tex](5r - 4)(r^2 - 6r + 4)[/tex]
Expand the expression
[tex]5r^3 - 30r^2 + 20r - 4r^2 + 24r - 16[/tex]
Collect like terms
[tex]5r^3 - 30r^2 - 4r^2 + 20r + 24r - 16[/tex]
Evaluate the like terms
[tex]5r^3 - 34r^2 + 44r - 16[/tex]
Hence, the product of the expressions is 5r^3 - 34r^2 + 44r - 16
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Busco amigos o amigas :D
Calculate the circumference of the circles with the following dimensions.
C-circumference
D-diameter
R-radius
P-3.14
1.
D= 4 in
D= 6 in
D=12 in
2.
R= 2 ft
R= 14 ft
R= 12 ft
3.
R= 9 ft
R= 11 ft
R= 7 ft
4.
D= 10 ft
R= 9 ft
D= 13 ft
Answer:
BELOW
Step-by-step explanation:
1) C= PD so
a) 12.56
b) 18.84
c) 37.68
2) C=2PR so
a) 2*3.14*2= 12.56
b) 2*3.14*14= 87.92
c) 2*3.14*12= 75.36
3) C=2PR so
a) 56.52
b) 69.08
c) 43.96
4)
a) 31.4
b) 56.52
c) 40.82
Help
Will
Give
Brainlist
M
Answer:
mary has 135 coins.
Step-by-step explanation:
let the coins that john has be x
and coin mary than = 3x
according to the question equation is
x + 3x = 180
4x = 180
x = 180 / 4
x = 45
coins mary has = 3x
=3*45
=135
The world record for the longest someone has held their breath
was 24 minutes. How many seconds are in 24 minutes? 60 seconds
= 1 minute 24 minutes = seconds
Answer:
1440seconds
Step-by-step explanation:
1min = 60sec
24min = ?
24/1 × 60
1440sec
Please help I’ll give brainliest
Answer:
285.214 cubic meters
Step-by-step explanation:
So I use this equation V=πr2h
All because this equation have a radius and so I put it in this form
V= π5.5^2 x 3
V=285
(I hope this help and if it’s wrong I am truly sorry)
The required volume of the given cylinder is 285.214 cubic meters. Option A is correct.
For a cylinder,
Height = 3m
Radius = 5.5m
Volume = ?
Volume is defined as the ratio of the mass of an object to its density.
Here,
The volume of the cylinder is given as,
Volume = πr²h
Substitute the value in the equation,
Volume = 3.14×5.5²×3
volume = 285.214 cubic meters.
Thus, the required volume of the given cylinder is 285.214 cubic meters. Option A is correct.
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Please help! What is the division problem represented by this model?
Answer:
the answer is 42/100
42 blocks are shaded out of 100
please help me answer this
Answer:
pie
Step-by-step explanation:
Sushil was thinking of a number. Sushil divides by 7 then adds 7 to get an answer of 12. Form an equation
Answer:
The number is 35.
35 divided by 7 is 5, and 5 plus 7 is 12.
:)
Let's assume the number Sushil was thinking was 'x'
Now lets understand each part,
First, Sushil divides the number by 7, writing this in numbers will give,
[tex]\frac{x}{7}[/tex]
Sushil then adds 7 to digit, this will give
[tex]\frac{x}{7}+7[/tex]
Sushil tells that the answer for the following equation is 12, so
[tex]\frac{x}{7} + 7 = 12[/tex]
Therefore the equation Sushil made is [tex]\frac{x}{7} + 7 = 12[/tex]
Happy to help :)
If you need any help, feel free to ask
PLEASE HELP THANK YOU
Answer:
74 deg
Step-by-step explanation:
Ok, so this is a bunch of steps.
cotθ= tan30° find theta
Answer:
60
Step-by-step explanation:
Cot is the same as 1/tan so:
[tex]1/tan(theta) = tan(30)[/tex]
By rearranging the equation, we get:
[tex]1/tan(30) = tan(theta)[/tex]
By taking the inverse tan, we get:
[tex]theta = tan^-1 (1/tan(30)) =60[/tex]
can someone pls pls help me?
9514 1404 393
Answer:
31°
Step-by-step explanation:
The measure of inscribed angle A is half the measure of intercepted arc BC.
∠CAB = 62°/2 = 31°
plz help me I will give u branist and follow u and also give u like plz help me
Answer:
2166.53
Step-by-step explanation:
a = 10,000(1.04)⁵
a = 12,166.53
12,166.53 - 10,000 = 2166.53
American Airlines sold a certain number of tickets from Los Angeles to the bay island in Honduras. They charged $120 for flight x and the remaining tickets for $280 for flight y. If the airline sold 59 tickets and collected a total of $12,520 from the sale of those tickets. A) how many tickets of each flight were sold. B) how much money was made from each flight?
Answer:
y =34
x = 25
Money made from flight x = 3000
Money made from flight y = 9520
Step-by-step explanation:
Tickets sold
59= x+y
Amount of money
120x + 280y = 12520
Using substitution
x = 59-y
120( 59-y) + 280y = 12520
7080 - 120y +280y = 12520
Combine like terms
160y +7080 = 12520
Subtract 7080
160y = 12520-7080
160y =5440
Divide by 160
160y/160 = 5440/160
y =34
Now find x x = 59-y = 59-34 =25
x = 25
Money made from flight x =
120*x = 120*25 =3000
Money made from flight y =
280*y= 280*34=9520
Step 1: Subtract 3 from both sides of the inequality.
Step 2: __________
Step 3: Divide both sides of the inequality by the coefficient of x.
What is the missing step in solving the inequality 5 – 8x < 2x + 3?
Add 2x to both sides of the inequality.
Subtract 8x from both sides of the inequality.
Subtract 2x from both sides of the inequality.
Add 8x to both sides of the inequality.
Answer:
I think you will collect like terms
Answer:
D. Add 8x to both sides of the inequality
The number if possible subset of set A{2,3,4}is?
Answer:
8
Step-by-step explanation:
The given set to us is ,
=> A = { 2 , 3 , 4 }
And ,
=> n(A) = 3
The Total number of subsets of a set A with n number of elements is given by ,
=> n(subsets) = 2ⁿ .
=> n( subsets) = 2³
=> n ( subsets ) = 8
What value of m makes the equation 8am/4a5=2a6 true?
Answer:
m = 11
Step-by-step explanation:
11 - 5 = 6
6th grade math help me pleaseeee
Answer:
A
Step-by-step explanation:
Make 'r' the subject of this formula: 3r - 5 = p
Answer:
hey I am not about what the question says but I think this is the answer:
3r=p+5
so the subject is 3r
What is the inverse of the function f(x) = x +3?
Answer:
The inverse is x-3
Step-by-step explanation:
y = x+3
To find the inverse, exchange x and y
x = y+3
Solve for y
x-3 = y+3-3
x-3 =y
The inverse is x-3
Answer:
x - 3
Step-by-step explanation:
f(x) = x + 3
y = x + 3
x = y - 3
Inverse is h(x) = x - 3
Use trigonometric identities to simplify [tex]sec^2(\pi /2-(x))[sin^2(x) -sin^4(x)][/tex]
Answer:
Step-by-step explanation:
I am using trig identities and the formula for the difference of the cos of 2 angles to solve this. I'll do the steps one at a time. It's super tricky. First I'm just going to work on simplifying the sec² part and then I'll introduce the sin²(x) - sin⁴(x) when I need it. Beginning with the identity for the difference of the cos of 2 angles, knowing that sec²(x) = [tex]\frac{1}{cos^2(x)}[/tex]:
[tex]sec^2(\frac{\pi}{2}-x)=\frac{1}{cos^2(\frac{\pi}{2}-x )}[/tex] and expand that using the formula for the difference:
[tex]\frac{1}{cos(\frac{\pi}{2}-x)cos(\frac{\pi}{2}-x) }=[/tex] [tex]\frac{1}{(cos\frac{\pi}{2}cos(x)+sin\frac{\pi}{2}sin(x))(cos\frac{\pi}{2}cos(x)+sin\frac{\pi}{2}sin(x)) }[/tex] and all of that simplifies down to
[tex]\frac{1}{(0cos(x)+1sin(x))(0cos(x)+1sin(x))}[/tex] which simplifies further to
[tex]\frac{1}{(sin(x))(sin(x))}=\frac{1}{sin^2(x)}[/tex] Now we'll bring in the other term. This is what we have now:
[tex]\frac{1}{sin^2(x)}(\frac{sin^2(x)-sin^4(x)}{1})[/tex] and distribute in to get:
[tex]\frac{sin^2(x)}{sin^2(x)}-\frac{sin^4(x)}{sin^2(x)}[/tex] which simplifies to
[tex]1-sin^2(x)[/tex] and that, finally, simplifies down to a simple
[tex]cos^2(x)[/tex]
Which of the following are solutions to the quadratic equation? Check all that
apply.
x2 + 8x + 16 = 7
Answer:
[tex]x=-4+\sqrt{7}[/tex]
[tex]x= -4-\sqrt{7}[/tex]
Step-by-step explanation:
Quadratic
Students are given 3 minutes for each multiple-choice question and 5 minutes for each free-response question on a test. There are 15 questions on the test, and students are given 51 minutes to take it.
The system of equations shown can be used to find the number of multiple-choice questions, m, and the number of free-response questions, f, on the test.
m + f = 15
3m + 5f = 51
How many multiple-choice questions are on the test?
3
5
12
14
Answer:
12
Step-by-step explanation:
Answer:
m = 12, f = 3
So, there are 12 multiple-choice questions on the test.
A line with a slope of 3 passes
through the points (2, -1) and (4,5).
Which of the following is not an
equation of the line that passes
through those points?
A. y+1 = 3(x-2)
B. y = 3x-11
C. y = 3x-7
D. y-5 = 3(x-4)
Answer:
B. y = 3x -11
Step-by-step explanation:
the general equation : (y -y1) = s(x - x1)
with a slope = s = 3
the correct equations are :
passes point (2, -1)
=> y+1=3(x-2) => option A is correct
passes point (4, 5)
=> y-5=3(x-4) => option D is correct
<=> y-5= 3x-12
y = 3x-12+5
y= 3x -7 => option C is correct
so, the incorrect equation is option B.
y = 3x -11
Equation of line in point slope form
y+1=3(x-2)A is true
y-5=3(x-4)D is true
Simplify first
y=3x-1And
y=3x-7B is false
What is the value of x, if the volume of the cone is 12mm?
5 m
6 m
U
04 m
0 10 m
06 m
8
05 m
Answer:
V=1/3 pie r^2h (Formula)12×22/7=1/3×22/7×3^2×hEliminate 22/712=(9×h)/3Make "h" the subject of the equation h=36/9h=4mAnswer:
1. B 130 2/3ft^3
2. B 226 in^3
3. B 33 cm^3
4. A 4 m
5. D 15m
Step-by-step explanation:
I got a 100! For connexus students, hope this helps!!
Solve the system of equations: y=x-3. y=x^2+2x-4
The volume of a piece of wood is 620cm3.
Its density is 0.85g/cm3.
Work out its mass
Answer:
527 grams
Step-by-step explanation:
Use the density formula, d = m/v
Plug in the density and volume, then solve for m (mass):
d = m/v
0.85 = m/620
527 = m
So, the mass is 527 grams
Convert the following decimal to fraction 3.04
Answer:
3 1/25
Step-by-step explanation:
3.04
Do the decimal part first
.04 = 4/100
Reduce - cancel out 4
1/25
Put back the whole number
3 1/25
Answer:
3 [tex]\frac{1}{25}[/tex]
Step-by-step explanation:
I agree with the previous answer :
You need to do it part by part.
0.04 is equal to [tex]\frac{4}{100}[/tex]
[tex]\frac{4}{100}[/tex] simplified (we divide by 4 with both the denomantor and the numerator.) =
[tex]\frac{1}{25}[/tex]
And we still have those 3 wholes that we had in the beginning.
Now we add.
3 + [tex]\frac{1}{25}[/tex] = 3 [tex]\frac{1}{25}[/tex]
which of the following exponential functions represents the graph below?
Answer:
D
Step-by-step explanation:
We can start by taking a look at the x and y intercepts. When x=0, y=3. Plugging this into each function,
5 * 3^(0) = 5
3 * 5^(0) = 3
5 * (1/3)^(0) = 5
3 * (1/5) ^ (0) = 3
Therefore, our answer must be either B or D. Then, although y=0 isn't given on the graph, based on where the graph is heading, we can say that y is getting smaller as x gets larger. For a big number, such as 100, we know that
3 * 5^(100) is something big and 3 * (1/5) ^ (100) is something small*. Therefore, as y must get small, not big, as x gets larger, D is our answer.
* We know that this is something small because anything less than 1 to the power of something greater than 1 makes it smaller. For example, 0.5² is 0.25, which is smaller than 0.5
someone please explain this question PART "b) i" ONLY!!!
This is because we have a list of perfect squares 0,1,4,9,...
We use n-1 in place of n because we're shifting things one spot to the left, since we start at 0 instead of 1.
In other words, if the answer was n^2, then the first term would be 1^2 = 1, the second term would be 2^2 = 4, and so on. But again, we started with 0^2 = 0, so that's why we need the n-1 shift.
You can confirm this is the case by plugging n = 1 into (n-1)^2 and you should find the result is 0^2 = 0. Similarly, if you tried n = 2, you should get 1^2 = 1, and so on. It appears you already wrote the answer when you wrote "Mark Scheme".
All of this only applies to sequence A.
side note: n is some positive whole number.