Answer:
1.) 27a^11 + 18a^9 -72a^7
2.) 6p^4q^3 - 10p^3q + 4p^2q3
Step-by-step explanation:
1.) Distribute and do the math
-9a^5 x (-3a^6) - 9a^5 X (-2a^4) - 9a^5 x 8a^2
27a^11 + 18a^9 -72a^7
2.) Distribute and do the math
2pq^2q x 3p^2q^2 - sp^2q x 5p + 2p^2q x 2q^2
6p^4q^3 - 10p^3q + 4p^2q3
What are the roots of the equation? 3x^2=7x+2 3x 2 =7x+2
Quadratic equations are equations that has a leading degree of 2. The solution to the given quadratic equation are 1/3 and 2
Solving linear equationQuadratic equation are equation that has a leading degree of 2. Given the quadratic equation as shown:
3x^2=7x+2
Equate to zero to have:
3x² - 7x + 2 = 0
Factorize
3x² - 6x - x +2 = 0
3x(x-2) - 1(x- 2) = 0
Group
(3x-1)(x-2) = 0
3x - 1 = 0 and x - 2 = 0
Determine the values of x
3x = 1 and x = 2
x = 1/3 and 2
Hence the solution to the given quadratic equation are 1/3 and 2
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please help quick im so confused
Answer:
(-5/2,-4)
Step-by-step explanation:
the answer is (x, y) = (-5/2, -4)
When someone says they ran a 5k, what type of measurement are they using? is that a far distance?
Answer:
1 kilometer is equal to 1000 meters
Step-by-step explanation:
Please help me with the photo below thanks
Answer:
A) -12-4-5
B) X^2-X
Step-by-step explanation:
..
..
4. The figure below is a rectangle. What is the value of x?
Hint: opposite sides of a rectangle are congruent
3(x + 4)
5x-9
Answer:
3(x+4)=5x-9
or,3x+12=5x-9
or,12+9=5x-3x
or,21=2x
orx=21/2
x=10.5
The value of x from the given rectangle is 10.5 units.
The opposite sides of a rectangle are 3(x+4) and 5x-9.
What is a rectangle?A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.
Now, the opposite sides of a rectangle are congruent
So, 3(x+4) = 5x-9
⇒ 3x+12=5x-9
⇒ 5x-3x=12+9
⇒ 2x=21
⇒ x=10.5 units
Therefore, the value of x from the given rectangle is 10.5 units.
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-w + 4(w + 3) = -12
Answer:
Step-by-step explanation:
-w + 4(w + 3) = -12
Expand: -w + 4w + 12 = -12
3w + 12 = -12
3w = -12-12
3w = -24
w = -8
There is a lower limit but no upper limit for a random variable that follows the _____ probability distribution.
There is a lower limit but no upper limit for a random variable that follows the exponential probability distribution.
We know that, an exponential distribution is a type of continuous distributions.
This probability distribution times the occurrence of events.
In exponential probability distribution, events happen continuously and independently at a constant average rate.
The continuous random variable, say X is said to have an exponential distribution, if it has the following probability density function:
[tex]f_X(x)=\left \{ {{\lambda e^{-\lambda x~~~x > 0}} \atop {0~~~~~~~x\leq 0}} \right.[/tex]
The exponential distribution is memoryless.
We know that, for exponential the lower limit is 0, but the upper limit is infinity, meaning there is no upper limit.
Therefore, There is a lower limit but no upper limit for a random variable that follows the exponential probability distribution.
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find the range i really need this
The range of the graph is (-9,-4) also written as -9≤y≤-4
The y-axis on a graph represents the possible output values, or range. The graph's entire range, from lower to higher numbers, represents the range. All of a function's x-values, or inputs, make up the domain. if both the end not closed point range Chart differs
Different range charts. Column range—Columns are used in the Column Range chart to illustrate the range.
Bar range—Bars are used in the Bar Range chart to illustrate the range.
smooth range-Curved lines rather than straight ones connect the data points in a smooth range chart.
From the graph it is shown as it has closed points on both ends so both the values -9 and -4 are inclusive in the range y axis
So it is written as (-9,-4) and also be written as -9≤y≤-4
Hence the range of the graph is -9≤y≤-4.
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How much will a person pay for 1.7 pounds of bananas at a price of $1.36 per pound?
Answer:
A person will pay $2.31 for a 1.7 pound of banana.
Step-by-step explanation:
1.7 pounds of bananas x $1.36 per pound = $2.31
Write 0.8
as a fraction.
thank youuu
Answer:
8/9
Step-by-step explanation:
The other answer is wrong because the problem is asking for the fraction form of 0.8 repeating, not just 0.8.
(−7 + 4.6p) + (11.3p − 6)
Answer:
15.9p-13
Step-by-step explanation:
Answer:
15.9p-13
Step-by-step explanation:
i had this question and got it right
help me pleaseeeeeeeeee.
Answer:
y = x + 3
Step-by-step explanation:
The difference between 1 and 4 is 3
The difference between 2 and 5 is 3
The difference between 3 and 6 is 3
The difference between 4 and 7 is 3
So our answer will either be x= y-3 or y=x+3
Since y=x+3 is the only option that matches the table it must be the answer
Hope this helped and have a good day
a light is suspended at a height h above the floor. the illumination, i, at a point p is inversely proportional to the square of the distance, r, from the point p to the light and directly proportional to the cosine of the angle theta. assume k is the constant of proportionality. which of the following can be used to represent the illumination at point p? i
The light must be at a height of 7.07m from the floor for the maximum illumination at P.
How Distance is that?
Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.Let I be the illumination at P then according to given conditions,
I = k cosθ/r²
Where k is constant of proportionality: since
r² = h² + 10²
cosθ = [tex]\frac{h}{\sqrt{h^{2} + 10^{2} } }[/tex]
then
I = k [tex]\frac{h}{( h^{2} + 100)^{3/2} }[/tex]
on differentiating
[tex]\frac{dI}{dh} = k \frac{h^{2} + 100)^{3/2} - 3h^{2 ( h^{2} + 100)^{1/2} } }{( h^{2} + 100)^{3} }[/tex]
[tex]= k \frac{( 100 - 2h^{2}) }{( h^{2} + 100)^{5/2} }[/tex]
[tex]\frac{dI}{dh} = 0[/tex]
gives
that is
h = √50 = 7.07
now
[tex]\frac{d^{2I} }{dh^{2} } = k \frac{( 6h^{3} - 900h }{( h^{2} +100)^{7/2} }[/tex]
for h = 7.07
[tex]\frac{d^{2}I }{dh^{2} } = - 10267.6[/tex]
then by second derivative test,I has a maximum ath=7.07
Hence the light must be at a height of 7.07m from the floor for the maximum illumination at P.
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11 and of 1/4 added to 3 and of 1/2
Answer:
11 1/4 + 3 1/2
45/4 + 7/2
(45+14)/4
59/4
14 3/4
I don’t understand can someone help
Answer:
I plugged in your equation into Desmos and here are 5 points
Step-by-step explanation:
(-6,7)
(-5,6)
(-4,5)
(-3,6)
(-2,7)
How is the quotient of 714 and 17 determined using
an area
model?
Enter your answers
in the boxes to complete the equations.
714 ÷ 17 = ( - 17 ) + ( ÷ 17)
714 ÷ 17 =
714 ÷ 17 =
Answer:
42 is your answer
Step-by-step explanation:
-lukelaws hope i helped if i did please make me brainliest if i got it wrong i am so sorry
In exercises 23 and 24, find the indicated angle measures. (See photo)
Step-by-step explanation:
Just do the calculations at last by using the value of x
what's the most specific subset of real numbers that the following number belongs in? 8.34
1. rational
2. integer
3. whole
4. irrational
Answer:
1. rational
Step-by-step explanation:
8.34 ==> rational since it had a finite number of digits.
8.34 ==> not an integer since it has a decimal point.
8.34 ==> not a whole number since it has a decimal point.
8.34 ==> not irrational since it had a finite number of digits.
Hence, 8.34 is rational.
A plane is flying at a speed of 150 miles per hour. The pilot plans to fly at this speed for
the next 160 miles, plus or minus 25 miles. Write an absolute value equation to find the
minimum and maximum number of hours the plane will travel at that speed.
Maximum time = 0.914 hour , Minimum time = 1.28 hour
Speed is determined by dividing the distance traveled by the time taken to travel it. It gives the amount of time it took to travel a certain distance divided by the distance traveled.
Speed is inversely correlated with time and directly correlated with distance. Hence, Speed X time equals distance, and
Time is calculated as Distance / Speed; as speed increases, time decreases and vice versa.
Distance = speed x time
Maximum speed = 150 +25
= 175 miles/ hour
Minimum speed = 150 - 25
= 125
Distance = 160 miles
Maximum time = 160/175
= 0.914 hour
Minimum time = 160/125
= 1.28 hour
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Blinn College charges $166 per credit hour, you plan to take 13 hours per semester, how much will your tuition cost for a full academic year?
Answer:
$4,316
Step-by-step explanation:
Semester one: $166 per credit times 13 hours = $2,158
Semester two: $166 per credit times 13 hours = $2,158
Cost for semester one plus semester two = $4,316
how many solutions are there to the equation below? 5x+48+7x=12(x+4) A) 1 B) infinitely many C) 0
Answer: Thus answer is "B"
Step-by-step explanation: Because you can move around and combine different numbers to get a different answer.
Help I don’t know how to do this
Answer:
∠1 is 101 ∠4 is 79 and ∠2 is 79
Step-by-step explanation:
This is because ∠1 is a vertical angle of ∠3 so they have the same angle
For ∠4 and ∠2 you would do 101-180 because they are supplementary do they add up to 180
Use the SOLVE Strategy to solve the problem below.
Wendy has taken two tests with scores of 77 and 80. To get an 82 average, what must her grade be on the third test?
Write and solve an equation to find her third test score. Show your work to explain how you determined her test score.
Rubric :
S - Underline the Question. ( 1 Point )
Answered Question, What is the Problem is asking me to find? ( 2 Points )
O- All Math facts are identified. ( 2 Points )
Unnecessary facts are eliminated. ( 2 Points)
All Necessary Facts are listed: ( 1 Point)
L- Use of correct operations . ( 2 Points )
Representation of the unknown. ( 2 Points)
Explained in a logical and sequential order. ( 2 Points)
V- Make estimation . ( 2 Points )
Number sentence matches plan for L. ( 2 Points)
Computation is correct . ( 2 Points )
E- Answer written in complete sentence. ( 1 Point )
Sentence Matches S. ( 1 Point )
Answer is correct . ( 1 Point )
Estimate was reasonable for the answer. ( 1 Point )
Answer: wendy should pick S
Step-by-step explanation:
Café 103 is collinear with and halfway between the Metrics School and the
Angles Lab. The Metrics School is located at point (2, 6) on a coordinate
plane, and Angles Lab is at point (7, 2). Find the location of Café 103.
The location of Café 103 is (4.5, 4)
How to determine the location of Café 103?The given parameters are
Metrics School = (2, 6) on a coordinateAngles Lab = (7, 2) on a coordinateFrom the question, we understand that:
Café 103 is collinear with and halfway between the Metrics School and the Angles Lab.
This means that Café 103 is at the midpoint
So, we have:
Café 103 = 0.5 * (x1 + x2, y1 + y2)
This gives
Café 103 = 0.5 * (2+ 7, 6 + 2)
Evaluate
Café 103 = (4.5, 4)
Hence, the location of Café 103 is (4.5, 4)
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The numbers of students in the four
sixth-grade classes at Northside School are 26,
19, 34, and 21. Use properties to find the total
number of students in the four classes.
The total number of students in the four classes is 100 students.
How to compute the value?From the information, the numbers of students in the four sixth-grade classes at Northside School are 26, 19, 34, and 21.
Therefore, the total number of students will be:
= 26 + 19 + 34 + 21
= 100
Therefore there are 100 students.
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what is the standard deviation for 0,0,0,1,1,1,2,2,3,5?
wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww
A 40g rock is lowered into 20ml the water rose to 45ml what is the density
PLEASE HELP ME
Answer:
40g/25ml
Step-by-step explanation:
The density formula is Mass/Volume. The rock is stated to have a mass of 40g, and the 20ml of water was displaced by 25ml, so, the rock has a volume of 25ml.
The sum of three consecutive odd integers is 45. Find the va
three.
Answer:
Submit Answer
Answer:
The three integers are:-17,-15,-13
Answer:
13, 15, 17 (the set)
Step-by-step explanation:
To find the middle number, you just divide 45 by 3 since you have three consecutive digits.
45/3 = 15 = the middle number
13, 15, 17 (+2, and -2 from 15 since has to be odd)
Checking work:
13+15+17 = 45
6y [tex]\geq[/tex] 30
Answer:
y ≥ 5
Step-by-step explanation:
[tex]\frac{6y}{6}\ge \frac{30}{6}\\\frac{30}{6} = 5\\y \ge 5[/tex]
Hope this helps.
Ian wants to promote his band on the internet. site a offers website hosting for $5 per month with a $50 start-up fee. site b offers website hosting for $15 per month with no start-up fee. for how many months will site b be less expensive than site a?
For 5 months site b be less expensive than site a.
From the given question we get to know that on-site $50 is a must and %5 will be paid per month, and on-site b $15 will be per to promote his brand and there is no start-up fee.
Let's take the n to be x.
We have to find how many months will b site be less expensive than site a.
So total expenses for site a = 50 + 5x
and total expenses for site b = 15x
We get an equation
50+5x =15x
10x=50
x=5
Therefore for 5 months site b will be less expensive than site a.
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