The result of the product [tex](s^2+5s)(s^3+4s^2)[/tex] is [tex]s^5+9s^4+20s^3[/tex]
The product is given as:
[tex](s^2+5s)(s^3+4s^2)[/tex]
Rewrite as:
[tex](s^2+5s)(s^3+4s^2) = (s^2+5s) \times (s^3+4s^2)[/tex]
Expand the expression on the right-hand side
[tex](s^2+5s)(s^3+4s^2) = s^2\times (s^3+4s^2)+5s \times (s^3+4s^2)[/tex]
Distribute the expressions
[tex](s^2+5s)(s^3+4s^2) = s^5+4s^4+5s^4+20s^3[/tex]
Evaluate like terms
[tex](s^2+5s)(s^3+4s^2) = s^5+9s^4+20s^3[/tex]
Hence, the result of the product [tex](s^2+5s)(s^3+4s^2)[/tex] is [tex]s^5+9s^4+20s^3[/tex]
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Caleb decreases a number by 6 and then multiplies it by 2. He gets the same answer as
when he subtracts 8 from the original number. What is the number?
please answer!!
Answer: 4
Step-by-step explanation: If Caleb starts with 4 and subtracts 6, he'll get -2. -2 times 2, equals -4. If he starts with 4 and subtracts 8, he'll again end up with -4, meaning the original number is 4!
4-6= (-2)
-2*2= (-4)
4-8= (-4)
what is x/-4 = -20 how do i sole for x
Answer:
x = 80
Step-by-step explanation:
Reverse your division by using multiplication:
x/-4 = -20
-4 x -20 = 80
pls help me answer this it's due today
Answer:
I think its 21 But if its times then its 240
Step-by-step explanation:
Hope this helped
Answer:
120
Step-by-step explanation:
formula for volume is area×height
so
v=1 /2b×h×l
v=1/2×5×4×12
v=2.5×4×12
v=10×12
[tex]v= {120cm}^{3} [/tex]
Pythagorean Thereom plz helppppppp
Answer:
5/4
Step-by-step explanation:
tan A = opp/adj
tan A = 5/4
Answer:
[tex]tan(A)=\frac{5}{4}[/tex]
Step-by-step explanation:
[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]
[tex]tan(A)=\frac{5}{4}[/tex]
(a) The perimeter of a rectangular parking lot is 288 m. If the width of the parking lot is 65 m, what is its length? Length of the parking lot:
Answer:
79 m
Step-by-step explanation:
We know that
Perimeter of rectangle = 2(l + b)
=> 288 = 2(l + 65)
=> 288/2 = l + 65
=> 144 = l + 65
=> 144 - 65 = l
=> 79 = l
Hence,
Length of rectangle is 79 m
Answer:
Length of parking lot = 79m
Explanation:
2 × length + 2 × breadth = perimeter of rectangle
2 × length + 2 × 65 = 288
2 × length + 130 = 288
2 × length = 288 - 130
= 158
length = 158 ÷ 2
= 79
A computer artist created a rectangular image measuring 50 millimeters by 120 millimeters. She then dilated the image by a scale factor of 2.5. What are the dimensions of the dilated image?
A
125 millimeters by 120 millimeters
B
52.5 millimeters by 122.5 millimeters
C
125 millimeters by 300 millimeters
D
20 millimeters by 48 millimeters
The dimensions of the dilated image is 125 millimeters by 300 millimeters.
An image is dilated if the dimensions of the image is resized in a way that does not change the shape of the image. When an image is dilated, it is made larger.
The scale factor is 2.5. This means that the dimensions are 2.5 larger. Dimensions of the dilated image : 50 x 2.5 and 120 x 2.5 = 125 mm by 300 mm
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X cube+6x-16=0
find all solutions by factoring.
answers
(-2,8)
(-8,2)
(2,8)
(-8,-2)
Answer:
(b) {-8, 2}
Step-by-step explanation:
The given equation
x³ +6x -16 = 0
cannot be factored in integers. It has one irrational real root near x=1.759, and two complex roots.
__
Perhaps you want to factor ...
x² +6x -16 = 0
(x +8)(x -2) = 0
This has solutions x = -8 and x = 2 that make the factors be zero.
_____
Additional comment
"Cubed" refers to an exponent of 3.
Answer:
Option b] (2,-8)
Step-by-step explanation:
⇒ x³ + 6x - 16 = 0
♦ the value of one root is irrational and other two are complex roots.
⇒ x² + 6x - 16 = 0
⇒ (x + 8)(x - 2) = 0
⇒ x = 2 , -8
nvmmm jdkslkdijewkl,jdkr3tfrrrrrrrrredsw
hmmm, between the three options I would go with the second one since the number of 1-foot cubes equals exactly the volume of the fish tank.
But to truly calculate the volume
5 x 3 = 15
15 x 3 = 45
45 is the volume of the fish tank
just do one if u want
Answer:
whats the question i can't really see it
Step-by-step explanation:
Jenna works a job where her pay varies directly with the number of hours she has worked. In one week, she worked 35 hours and made $274.75. How many hours would she need to work in order to earn $337.55?
80 people exercise in the morning at Planet Fitness. 100 people
exerflncise in the afternoon. What is the percent of increase in the
number of people exercising at Planet Fitness in the afternoon?
Answer: it has a 20% increase
Find the Area and
Circumference of the
circle below.
מוח של
Use 3.24 for .
A=
C=
Answer:
you need to show the circumference, instead I cant help
If you buy three of the ABC bonds with $10 commission for each, how much will it cost? a. $3142.50 b. $1047.50 c. $3172.50 d. $1077.50
The computation shows that the cost of each bond is A. $3142.50.
How to solve the cost?From the complete information given, the price of the bond is given as $2856.80 each.
Therefore, with the commission, the price will be:
= $2856.80 + (10% × $2856.80)
= $2856.80 + $285.68
= $3142.50
In conclusion, the cost of each bond is $3142.50.
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Answer:
it's A
Step-by-step explanation:
maybe
Who can help me on this? NEED OF HELP!
Answer:
25+25 = 50
sum means +
Integers are positive and negative numbers, no decimals or fractions though
someone solve asap whats the answer for this
Answer: The answer is in the 1st image.
Explanation: The explanation is in the 2nd image.
A local business charges $20 to set up their sweatshirt printing machine with the design and $9.75 in materials per sweatshirt to print.
1. Write an equation for the average cost A(x) of printing x sweatshirts through this company.
2. Describe what happens to the average cost per sweatshirts as more and more are printed.
What is the radical form of the expression 4 3/2
[tex](-\frac{3n}{18n^{2} } )^{-18} * (-6n)^{-15}[/tex]
[tex]\left( - \dfrac{3n}{18n^2}\right)^{-18} \times(-6n)^{-15}\\\\\\= \left(-\dfrac{1}{6n} \right)^{-18} \times \dfrac{1}{(-6n)^{15}}\\\\\\=\left[(-6n)^{-1}\right]^{-18} \times \dfrac 1{(-6n)^{15}}\\\\\\=(-6n)^{18} \times \dfrac 1{(-6n)^{15}}\\\\=(-6n)^{18-15} \\\\=(-6n)^3\\\\=-216n^3[/tex]
Rebah and her twin brother are planning a birthday party at Pizza Pete's. There is a S64.75 charge to reserve a party room plus $4.95 per person charge for lunch
Explain how to find the greatest number of people that can attend the party for $175.00. Show your work, and state the number of people.
QUICKKK PLZZ
Answer:
22 people
Step-by-step explanation:
Step 1: I first subtracted $64.75 from $175.00 so that I knew how much would be leftover after the charge of the room, because you can't count that cost. When I did this, I got $110.25. So then I knew how much was paid other then for the room.
Step 2: I then divided $110.25 by $4.95, so I would get the amount of people who went to the party, since each person costs $4.95. When I divided, I got 22.
So that would be my answer. I hope that helps. :)
What is the leading coefficient of a third degree function that has an output of 221 when x=2, and has zeros of −15, 3i, and −3i?
Answer:
1
Step-by-step explanation:
The function with the given zeros will factor as ...
f(x) = a(x +15)(x^2 +9) . . . . with leading coefficient 'a'
You have ...
f(2) = 221 = a(2+15)(2^2+9) = a(17)(13) = 221a
Then a = 221/221 = 1
The leading coefficient is 1.
_____
Additional comment
As you know, a function with zero x=p has a factor of (x -p). The given zeros mean the function has factors (x -(-15)), (x -3i). and (x -(-3i)). The product of the last two factors is the difference of squares: (x^2 -(3i)^2) = (x^2 -(-9)) = (x^2 +9). This is how we arrived at the factorization shown above.
The bird house in your friend's yard casts a shadow that is 14 feet long. Your friend is 5 feet tall and casts a shadow that is 3.5 feet long. What is the height of the bird house?
Answer:
20 ft
Step-by-step explanation:
The shadow of the bird house is 14/3.5 = 4 times the length of your friend's shadow. Consequently, we expect the height of the bird house to be 4 times the height of your friend:
4(5 ft) = 20 ft
The height of the bird house is 20 ft.
Step-by-step explanation:
that creates 2 similar triangles.
that means all angles are the same, and all side lengths of one triangle correlate to the corresponding side lengths of the other triangle by the same multiplication factor.
so,
3.5 × f = 14
f = 14/3.5 = 4
and now the range factor applies in the relation between the heights :
5 × 4 = 20 ft
the bird house is 20 ft high.
Write the slope-intercept form of the equation of the line.
Solve the inequality 1/6(y-1)>3
[tex]\frac{1}{6} .(y-1)>3=>y-1>3.6=18=>y>18+1=19\\[/tex]
[tex]\frac{1}{6(y-1)} >3=>\frac{1}{6(y-1)} -3>0=>\frac{1-18(y-1)}{6(y-1)} >0\\=> \left \{ {{1-18(y-1)>0} \atop {6(y-1)>0}} \right. /or/\left \{ {{1-18(y-1)<0} \atop {6(y-1)<0}} \right. \\=>\left \{ {{19-18y>0} \atop {y-1>0}} \right. /or/\left \{ {{19-18y<0} \atop {y-1<0}} \right.\\ =>\left \{ {{y<19/18 } \atop {y>1}} \right. /or/\left \{ {{y>19/18} \atop {y<1}} \right.=>\frac{19}{18} >y>1[/tex]
P/s: I don't know exactly the question so i answer in 2 ways =))
ok done. Thank to me :>
Tell whether the lines are parallel,
perpendicular or neither
Line 1:(-1,3), (-1,5)
Line 2: (0, 0), (0, 6)
Answer:
Line 1 passes through (5, -9) and (0, -5)
We are going to use slope-intercept form of a linear equation.
First we are going to find the slope of the line.
m= -5- (-9)
-------
0-5
m=4/-5
Now substitute in the point to find the y-intercept:
Either point can be used. I am using point (0,-5)
y=-4/5x+b
-5=-4/5(0)+b
-5=b
So, the linear equation is y=-4/5x-5
Line 2 passes through (-3, 8) and (1, 3)
m=3-8
-----
1-(-3)
m=-5/4
Use slope intercept form and substitute in either point
I am using point (1,3)
y=-5/4x+b
3=-5/4(1)+b
3=-5/4+b
3+5/4=b
17/4=b
Therefore, the equation of Line 2 is y= -5/4x+17/4
Line 1: y=-4/5x-5 Line 2: y=-5/4x+17/4
I need help with the multiple choice
Answer:
d
Step-by-step explanation:
they intersect but aren't perpendicular.
HELP PLS ! How many solutions does the following system of equations have?
Answer:
A - infinite
Step-by-step explanation:
The 2 lines are on top of each other making any point on either line a solution.
Hope that helps
Question is on the picture
Answer:
B. 30/65 and experimental
Step-by-step explanation:
22= -11k what does k equal
Answer:
k = -2
Step-by-step explanation:
Divide 22 by -11 as well as -11k by -11
(You have to divide both sides by the number that k is to find your answer)
22 divided by -11 = -2
-11k divided by -11 = k
meaning you would get the answer of k = -2
Can someone answer this
Answer:
-2/3 is the correct answer
Step-by-step explanation:
hope this helps
Answer:
Number 2 is the answer.
Step-by-step explanation:
Rise/run
and the line is going down.
Write in point-slope form an equation of the line that passes through the point (1,9) with a slope of -2
Y-_=_(x-_)
Answer:
y - 9 = - 2(x - 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here m = - 2 and (a, b ) = (1, 9 ) , then
y - 9 = - 2(x - 1) ← is the equation of the line