Answer:
D
Step-by-step explanation:
[tex]\frac{x^2-11x+24}{(x-8)(x+2)}[/tex] ← factorise the numerator
= [tex]\frac{(x-8)(x-3)}{(x-8)(x+2)}[/tex] ← cancel the common factor (x - 8) on numerator/ denominator
= [tex]\frac{x-3}{x+2}[/tex]
The quotient of the given division problem is D. (x - 3) / (x + 2).
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Given expression is,
(x² - 11x + 24) / (x - 8)(x + 2)
We have to first factor the numerator.
x² - 11x + 24 can be factored as (x - 8) (x - 3).
This is done using the factorization method.
Now the expression becomes,
(x² - 11x + 24) / (x - 8)(x + 2) = (x - 8) (x - 3) / (x - 8)(x + 2)
= (x - 3) / (x + 2)
Hence the quotient is option D.
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PLEASE HELP ASAP
(answer as many as you can please)
a. write the first four terms of the series
b. does the series diverge or converge?
c. if the series has a sum, find the sum
Answer:
A) -4,-4/3,-4/9,-4/27
B) converge
C) no idea
Help me understand how to do this please. (?)
Step-by-step explanation:
part 1: the exponent is the power or the number you see ontop of n. it indicates how many times n is multiplied by itself. so for the first question n is multiplied by itself 6 times. so the answer should be n×n×n×n×n×n.
part 2 is similar to part 1.
since there is a total of 6 ns we can say that it is n^6.
feel free to ask if you need any further guidance.
A circular piece of glass has a radius of 1.2 meters. The glass sells for $7.10 per square meter. What is the total price of the glass?
Answer:
$8.52 that should be the answer
Answer the questions in the image.
#1
Radius=9/2=4.5inArea:-
πr²4.5^2π20.25πin^263.58in^2#2
Side=a=4inArea:-
a²4²16in^2#3
Area of the white part=Area of circle-Area of square
63.585-1647.585in^2#4
Probability
16/63.5850.252#5
Probability
47.58/63.5850.75Answer:
1. 63.62 in².
2. 16 in².
3. 47.62 in².
4. 0.25 .
5. 0.74 .
Step-by-step explanation:
1.
Solution,
Given,
Diameter = 9 inch.
Now,
Area = πr²
Diameter = r²
Then,
Area = 1/4 πd²
= 1/4 π9²
= 63.62 in².
2.
Solution,
Given,
Length of a Side = 4 inch.
Now,
Area = L²
= 4²
= 16 in².
3.
Solution,
Given,
Area of the Circle = 63.62 in².
Area of the Square = 16 in².
Now,
Area of The White Part of the Circle = Area of Circle - Area of Square
= 63.62 in² - 16 in².
= 47.62 in².
4.
Solution,
Given,
Area of the Square = 16 in².
Area of the Circle = 63.62 in².
Now,
The probability of landing in the Square = Square Area / Circle Area
= 16 / 63.62
= 0.25 .
5.
Solution,
Given,
White Part of the Circle = 47.62 in².
Area of the Circle = 63.62 in².
Now,
The probability of landing in the white Part = White Area / Circle Area.
= 47.62 / 63.62
= 0.74 .
Solve for A
ASAP ANSWER
Step-by-step explanation:
A = B
7x + 40° = 3x + 112°
7x - 3x = 112° - 40°
4x = 72°
x = 18°
A = 7x + 40°
= 7(18°) + 40°
= 126° + 40°
= 166°
hope it help
can you help to answer my question? my math is better ,but my english is bad ,can you help me,please
Use the Parabola tool to graph the quadratic function.
f(x)=3x^2−6x+5
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
graphed below:
[tex]\sf f(x)=3x^2-6x+5[/tex]
vertex: (1, 2)cuts y-axis: (0, 5)Answer:
Given function: [tex]f(x)=3x^2-6x+5[/tex]
Vertex form: [tex]y=a(x-h)^2+k[/tex]
(where [tex](h, k)[/tex] is the vertex)
Expand vertex form:
[tex]y=ax^2-2ahx+ah^2+k[/tex]
Compare coefficients of given function with expanded vertex form
Comparing coefficient of [tex]x^2[/tex]:
[tex]3=a[/tex]
Comparing coefficient of [tex]x[/tex]:
[tex]\ \ \ \ \ -6=-2ah\\\implies-6=-2 \cdot 3h\\\implies -6=-6h\\\implies h=1[/tex]
Comparing constant:
[tex]\ \ \ \ \ \ 5=ah^2+k\\\implies5=3(1)^2+k \\\implies 5=3+k\\\implies k=2[/tex]
Therefore, the vertex is (1, 2)
As the leading coefficient is positive, the parabola will open upwards.
Additional plot points:
[tex]f(0)=3(0)^2-6(0)+5=5[/tex]
[tex]f(2)=3(2)^2-6(2)+5=5[/tex]
(0, 5) and (2, 5)
A cylinder has a base diameter of 20ft and a height of 5ft. What is its volume in cubic ft, to the nearest tenths place?
Answer:
Formula for volume of cylinder;
V = π[tex]r^{2}[/tex]h
Where 'π' represents pi(22/7 or 3.14), 'r' represents the radius which is 1/2 x diameter (half of diameter = radius) which is squared, and 'h' which represents the height.
To find the radius of the diameter 5, we must find 1/2 of 5:
1/2 x 5
5/2 = 2.5 is our radius.
Now we plug these into our equation:-
V = π[tex]r^{2}[/tex]h
V = 3.14(2.5^2) x 20
V = 3.14(6.25) x 20
V = 19.625 x 20
V = 392.5 cubic feet.
Danny has 1.08 pounds of cat food. he uses 0.12 pound of cat food to feed one cat. how many cats can danny feed with the cat food he has?
Answer:
9
Step-by-step explanation:
1.08 divided by 0.12 equals 9
Can someone please help me with this? My mind is blank after doing a lot of questions.
Answer:
6 Hours
Step-by-step explanation:
No.of leaflets---no.of people---work hours
1000 ————. 4. - — — — — — — 5
1500 — — — —5 — — — — — ,— —?
If work increase, no.of people needed more
So, the required ratio is 1500/1000
If work men increase, no of hours decrease
So, the required ratio is 4/5
(1500/1000)× (4/5)×5 = 6
No.of hours required to distribute 1500 leaflets by 5 people = 6 hours
Find the values of x and y
x=
and
y=
Answer:
x=145 and y=35
Step-by-step explanation:
the hole line equals 180 so do 35-180 which equals 145 and y would equal 35
Which expression is equivalent to this equation attached? Please help! I will make brainliest
Step-by-step explanation:
please mark me as brainlest
HELLLO!HELLO HELP PLIS
Answer:
984m
Step-by-step explanation:
so all your doing is:
41 x 24 = 984m
Answer:
984
Step-by-step explanation:
It's so easy. Multiply 24 and 41 to get the area of the rectangle
What is the tangent ratio of angle KJL?
Answer: (1)
Step-by-step explanation:
Using the properties of a 30 60 90 triangle, we get that ML=24sqrt3 and JM=24.
This means that the tangent is 24sqrt3 / 24.
Brainliest if correct
Answer:
box 1 = 6,080
box 2 = 6,169
box 3 = 18,219
box 4 = 19,151
Step-by-step explanation:
100 BRAINLY POINTS!!!!
The cost, y, in dollars, to purchase x school T-shirts includes a one-time setup fee, plus a charge per T-shirt. The cost is modeled with the linear function y = 6.67x + 35. What is the cost to purchase each T-shirt after the beginning setup cost is paid?
A. $41.67
B. $35.00
C. $28.33
D. $6.67
PLEASE HELP CUH
EXPLAIN YOUR ANSWER
SHOW YOUR WORK
Let's check our given function.
y=6.67x+35Compare to y=mx+b(Slope intercept)
Slope=m=6.67Y intercept=b=35So beginning set up is fixed i.e 35 .
per shirt cost the rate of change which is slope
option D is correct
Which of the following inequalities matches the graph?
Answer:
x ≤ -7
Step-by-step explanation:
On the graph we can see that:
-the pink solid line is where x= -7 and y can have any value, so is either first or second choice.
-the pink area includes numbers that are equal or less then -7 ( such as -8, -9,-10,...) so the inequality must be x ≤ -7 (the second choice. )
See the line is parallel to y axis
Means x is constanty is varryingSo
x intercept is (-7,0)X is constant -7
Hence the inequality is
x≤-7use the order of operations to simplify the left side of the inequality below. What values of x make the inequality a true statement? -1/2 (3^(2)+7) x>32
Answer:
x<−0.00325153
x> 0.00325153
Step-by-step explanation:
-1/2 (3^(2)+7) x >32
-1/2 (3^(9) x >32
-1/2 (19683) x >32
-9841.5 x >32
x<−0.00325153
x> 0.00325153
Question Find the cube root. -125 divided by 3
Answer:
First of all multiply 5 in three times
name 2 semi circles
Answer:
Arc CDE and arc EAC.
Step-by-step explanation:
Semicircles are exactly one-half of a circle and are always equal to 180 degrees. Since line CE is a horizontal line, measuring 180 degrees, 2 semicircles can be arcs CDE and EAC because they equal half of the circle.
I hope this helps!
please help me with this its so easy .
recommend me a bunch of animmes---s (not the cringe kind that have 0 plot)
(do not reccomend any animes that are about a shy anti social boy who bags a social popular girl. )
Answer:
Megalobox black lagoon doraemon fate/grand order made in abyss high rise invasion dusk maiden of amnesia mahou shoujo site black butler ergo proxy I think are some
Step-by-step explanation:
A 1000 kg car moving at 3 ms runs into a 10 kg shopping cart at rest. The shopping cart gets wedged under the car and they stick together. What is their new velocity after the collision?
Their new velocity after the collision is 2.97m/s
Collision of an objectAccording to the law of momentum, the sum of momentum of bodies before the collision is equal to their sum after the collision.
The formula for calculating the momentum of a body is expressed as:
Momentum = mass * velocity
According to the law
m1u1 + m2u2 = (m1 + m2)v
v is the new velocity after the collision
Substitute the given values
1000(3) + 10(0) = (1000+10)v
3000 = 1010v
v = 3000/1010
v = 2.97m/s
Hence their new velocity after the collision is 2.97m/s
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i need help this is due in 10 mins
Answer:
180 degree rotation
Step-by-step explanation:
Answer:
Reflect across the y-axis
Translate horizontally 7 units right
Step-by-step explanation:
Alright I'll try to quickly answer this for you.
Firstly you could try reflecting figure P across the y axis. That would mean multiplying the whole function times -1.
So a point like (-2,3) would be come (-2,-3), and then visualize moving that point to where it would be on figure Q. It looks like it would be on (5,-3) on figure Q. So to take (-2,-3) to (5,-3) you translate it horizontally 7 units right.
I need this plss
(will give brainliest)
Answer:
-2, 3
Step-by-step explanation:
Complete the missing steps to express in simplest radical form.
If gas costs $3.58 a gal.how many gallons for $15.00
Answer:
Simple, Just divide 15.00 by 3.58 to get the answer of 4.19
Step-by-step explanation:
15.00 ÷ 3.58 = 4.19
 Order these numbers least to greatest
Answer:
1. -83/7
2. -11.6666666
3. - square root of 133
4. 11 5/10
1) d= 7.4 mm
Calculate the area of the circle.
2) r=2.2 yd.
Calculate the circumference of the circle.
3) d = 5 cm
Calculate the circumference of the circle.
4) d = 6 m
Calculate the circumference of the circle.
5) r = 2.1 m
Calculate the area of the circle.
6) r=1.3 mm
Calculate the circumference of the circle.
Answer:
1. 43.01 mm²
2. 13.82yd
3. 15.71cm
4.18.85m
5. 13.85m²
6. 8.17mm²
Step-by-step explanation:
/ means divided by
* means multiplied by
radius is half of a diameter
circumference of a circle is pi multiplied by diameter
area of a circle is pi multiplied by radius squared
1. radius is 7.4 divided by 2 which is 3.7
radius of 3.7 squared is 13.69
pi multiplied by 13.69 is 43.01
2. diameter is radius times 2
2.2 times 2 is 4.4
ℼ * 4.4 = 13.82
3. pi*5=15.71
4. pi*6=18.85
5. 2.1*2.1 = 4.41 -> pi*4.41 = 13.85
6. 1.3*2= 2.6 -> pi*2.6=8.17
Which expression is equivalent to n2 26n 88 for all values of n?
The value of the expression n² + 26n + 88 is equivalent to negative 4 and negative 22.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The expression is n² + 26n + 88
Put that expression to get the solution
n² + 26n + 88 = 0
n² + 22n + 4n + 88 = 0
n(n + 22) + 4(n + 22) = 0
(n + 4)(n + 22) = 0
The value of n is negative 4 and negative 22.
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please giv the answer asap. I'll mark brainliest.
Answer:
Step-by-step explanation:
x = 5.4178
10000x = 54178.178
10x = 54.178 Subtract: that gets rid of the repeating decimal.
9990x = 54124 Divide by 9990 on both sides
9990x/9990 = 54124/9990 The Greatest common divisor of these two is 2
x = 27062/ 4995
p/q = 27062 / 4995
Evaluate the line integral, where c is the given curve. ∫c x sin(y)ds, c is the line segment from (0, 1) to (4, 4)
From calculations, the given integral ∫c x sin(y)ds is equal to [tex]20\left(-\frac{1}{3}\cos \left(4\right)+\frac{1}{9}\sin \left(4\right)-\frac{1}{9}\sin \left(1\right)\right)=0.806[/tex].
Integration
The integrals are the opposite of derivatives. They are used in several applications, like: calculations of areas, volumes and others.
For solving an integration, you should know its rules. For this question will be necessary to apply the following integration rules:
For constant function - ∫b dx = b ∫ dx= bx+CFor sin function - ∫sin(x) dx = cos(x) + CFor integration by parts - ∫u v dx = uv -∫v duFirst, you should calculate the segment from the points (0, 1) and (4, 4).
segment=(4-0,4-1)=(4,3).
After that you should parametrize the segment:
r(t)=(0,1)+(4t,3t)= (4t,3t+1), where 0≤t≤1
Now, you can find dr/dt.
r'(t)=(4,3)
Consequently, the magnitude of |r'(t)| will be:
|r'(t)| =[tex]\sqrt{4^2+3^2}=\sqrt{16+9}=\sqrt{25} =5[/tex]
Finally you can evaluate the integral: ∫c x sin(y)ds. From r(t), you know that x=4t and y=3t+1.
[tex]\int _0^1\:xsin\left(y\right)\:ds=\int _0^1\:4t\cdot sin\left(3t+1\right)\:\cdot 5ds=\int _0^1\:20t\cdot sin\left(3t+1\right)\:\cdot ds[/tex]
Applying the Rule Integration for a Constant.
[tex]\int _0^1\:20t\cdot sin\left(3t+1\right)\:\cdot dt\\ \\ 20\cdot \int _0^1t\sin \left(3t+1\right)dt\\ \\[/tex]
Applying the Rule Integration by Parts.
∫u v dx = uv -∫v du
u=t
dv= sin(3t +1 )dt, then v=
[tex]=20\left[-\frac{1}{3}t\cos \left(3t+1\right)-\int \:-\frac{1}{3}\cos \left(3t+1\right)dt\right]^1_0\\ \\=20\left[-\frac{1}{3}t\cos \left(3t+1\right)+\frac{1}{9}\sin \left(3t+1\right)\right]^1_0\\ \\ =20\left(-\frac{1}{3}\cos \left(4\right)+\frac{1}{9}\sin \left(4\right)-\frac{1}{9}\sin \left(1\right)\right)\\ \\ =0.806[/tex]
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The value of the integral ∫c x sin(y)ds where c is the curve is 0.806 if the line segment is from (0,1) to (4,4).
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
First, we have to calculate line segment (0,1 ) to (4, 4)
= (4-0, 4-1) = (4, 3)
Parametric form of the segment:
P(t) = (0+4t, 3t) where 0 ≤ t ≤ 1
Now differentiate the segment:
P'(t) = (4, 3)
The magnitude of the P'(t)
[tex]\rm P'(t) = \sqrt{4^2+3^2}[/tex]
P'(t) = 5
Now the integration can be evaluated from the P(t)
[tex]\rm \int\limits^1_0 {xsin(y)} \, ds = \int\limits^1_0 {4tsin(3t+1)} \, 5ds[/tex] ( x= 4t, y = 3t+1)
[tex]\rm \int\limits^1_0 {xsin(y)} \, ds = 20\int\limits^1_0 {tsin(3t+1)} \, ds[/tex]
The value of the integration:
[tex]\rm \int \limits^1_0 {tsin(3t+1)} \, ds = 0.040[/tex]
[tex]\rm \int\limits^1_0 {xsin(y)} \, ds = 20(0.04)[/tex]
[tex]\rm \int\limits^1_0 {xsin(y)} \, ds =0.806[/tex]
Thus, the value of the integral ∫c x sin(y)ds where c is the curve is 0.806 if the line segment is from (0,1) to (4,4).
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