Answer:
a ) - 8x^7,
b ) - 4m^2 / nx,
c ) - 11a^2b^18 / 5
Step-by-step explanation:
[tex]a ) (2x^2)(-4x^5),\\-2x^2\cdot \:4x^5,\\-8x^5x^2,\\-8x^7\\\\Solution = -8x^7[/tex]
To solve this problem, I removed ( ), multiplied the terms, and through the " exponential rule " added the exponents to derive the solution - 8x^7
[tex]b ) (36m^2) / (-9nx),\\-\frac{36m^2}{9nx},\\-\frac{4m^2}{nx}\\\\Solution = -\frac{4m^2}{nx}[/tex]
Here I simplified the bit " 36 / 9 " which was found as 4 in the numerator, deriving the solution - 4m^2 / nx
[tex]c ) -11ab^9b^6 / 5b^3a,\\-11b^9\frac{b^6}{5}b^3a^{1+1},\\-11b^9\frac{b^6}{5}b^3a^2,\\-11\cdot \frac{b^6}{5}b^{9+3}a^2,\\-11\cdot \frac{b^6}{5}b^{12}a^2,\\-\frac{b^6\cdot \:11b^{12}a^2}{5},\\-\frac{11a^2b^{18}}{5},\\\\Solution = -\frac{11a^2b^{18}}{5}[/tex]
I applied a combination of " the exponential rule " and the addition of these exponents to receive a simplified solution - 11a^2b^18 / 5.
What is the slope of the line whose equation is
y = - 3x + 6?
A. -1/2
B. 2
C. -3
D. 6
Answer:
-3
Step-by-step explanation:
Because it is multiplied by x
Answer:
C. -3
Step-by-step explanation:
The equation of the line is in point slope form.
y=mx+b
where m is the slope and b is the y-intercept.
The number that is multiplied by x is the slope. The number that is added or subtracted from x is the y-intercept.
We have the equation:
y=-3x+6
-3 is being multiplied by x (-3*x=-3x). 6 is being added on to -3x.
Therefore, the slope is -3 and the y-intercept is 6.
Since -3 is the slope, C is the correct answers.
using tje logarithm find the square of 86.46
4x+2/2 -(-2) find the answer
Answer:
[tex]4x+3[/tex]
Step-by-step explanation:
[tex]4x+2/2 -(-2)[/tex]
[tex]4x+1 -(-2)[/tex]
[tex]4x+1 +2[/tex]
[tex]4x+3[/tex]
Answer: =4x+3
Step-by-step explanation:
4x+ 2 /2 −(−2)
=4x+1+2
then you Combine the Like Terms:
=4x+1+2
=(4x)+(1+2)
=4x+3
Hope this helps :)
Multiply and simplify
V8xyz3 . V10x3y2z
Answer:
Step-by-step explanation:
[tex]\sqrt{8xyz^{3}}*\sqrt{10x^{3}y^{2}z} =\sqrt{8xyz^{3}*10x^{3}y^{2}z}\\\\ =\sqrt{2*2*2*2*5*x^{1+3}*y^{1+2}*z^{3+1}} \\\\\\=\sqrt{2^{4}*5*x^{4}*y{3}*z^{4}} \\\\=2^{2}*x^{2}*y*z^{2}\sqrt{5y} \\\\\\=4x^{2}yz^{2}\sqrt{5y}[/tex]
Point P partitions the directed segment from A to B into 1:3 ratio. Q partitions the directed segment from B to A into a 1:3 ratio. Are P and Q the same point? Why or why not?
Answer:
Point Q is further from A than point P, therefore, they are not the same point
Step-by-step explanation:
The given information are;
Point P partitions the directed segment from A → B into the ratio of 1:3
Point Q partitions the directed segment from B → A into the ratio of 1:3
We note that the properties of a directed segment are that it has a length and direction with a defined starting or initial point.
Hence the two segments when arranged in the same direction are;
A B and B A
Hence point P is at a the point 1/(1 + 3) or 1/4 of AB or 1/4 times the length of AB from A
Point Q is at a the point 1/4 of B/A or 1/4 times the length of AB from B which is 3/4 times the length of AB from A
Therefore, point Q is further from A than point P which means they are not the same point.
Answer:
No, P is One-fourth the distance from A to B, and Q is One-fourth the distance from B to A.
Step-by-step explanation:
what is 1.8 increased by 10??
Answer:
zdsczsczscs
Step-by-step explanation:
What is the smallest number that can be added to 2018·2019·2020 so that the result of the addition is a perfect cube? Please answer soon!
Answer:
[tex]802[/tex]
Step-by-step explanation:
[tex]18^3=5832[/tex]
[tex]19^3=6859[/tex]
[tex]2018+2019+2020=6057[/tex]
[tex]6859-6057=802[/tex]
Check.
[tex]6057+802=6859[/tex]
[tex]\sqrt[3]{6859} =19[/tex]
Answer:
2019.
Step-by-step explanation:
Let x = 2018, then x + 1 = 2019 and x + 2 = 2020.
x(x + 1)(x + 2)
= x(x^2 + 3x + 2)
= x^3 + 3x^2 + 2x ................(A)
Now the perfect cube of x + 1 is:
(x + 1)^3 = x^3 + 3x^2 + 3x + 1
If we add x + 1 to (A) we get this expression so the answer is x + 1
= 2019.
What is the sum of the first five terms of a geometric series with a = 10 andr
= 1/5?
Answer:
12.496
Step-by-step explanation:
Here, to calculate the sum of the first five terms of the series, we use the formula for the sum of terms in a geometric series.
Mathematically, that would be;
Sn = a(1-r^n)/1-r
where Sn = ?
a = 10
r = 1/5 = 0.2
n = 5
Substituting these values into the equation above, we have;
Sn = 10(1-(0.2)^5)/1-0.2
Sn = 10(0.99968)/0.8
Sn = 12.496
1. Using the scale 1 in.: 4 ft, find the dimensions in a blueprint of an 8 ft-by-12 ft
room
Answer:
2 in by 3 in
Step-by-step explanation:
1 in = 4 ft Divide both sides with 4
0.25 in = 1 ft
0.25 * 8 = 2 in
0.25 * 12 = 3 in
2 in by 3 in
Answer: 2 in by 3 in
Step-by-step explanation:
1 in = 4 ft Divide both sides with 4 0.25 in = 1 ft 0.25 * 8 = 2 in 0.25 * 12 = 3 in 2 in by 3 in
The table shows some information about the five great Lakes of North America
Answer:
add me on snap kingmadness7062
Step-by-step explanation:
Total surface area of all the lakes combined is 24.5×10¹⁰
What is the Total Surface Area?Total surface area refers to the area including the base(s) and the curved part. It is the total area covered by the surface of the object. If the shape has a curved surface and base, then the total area will be the sum of the two areas.
Given here; The surface area of the lakes and we are required to find The total surface area of all the lakes.
Thus we have TSA= (2.57 + 6.01+5.80+1.91+8.21)×10¹⁰
=24.5 ×10¹⁰
Hence, total surface area of all the lakes combined is 24.5×10¹⁰
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10x + 8 = 3(x - 2)
10x + 8 = 3x
Answer:
1) -2
2) 8/7
Step-by-step explanation:
1) 10x+8=3(x-2)
10x+8=3x-6
10x-3x=-6-8
7x=-14
x=-2
2) 10x+8=3x
10x-3x=8
7x=8
x=8/7
Hope it helps
Please help on this !!!!!!!!!!! Will mark brainliest answer !!!!!!!!!
Answer:
the smallest r is the 4r and the biggest r is the r^2
VERTEX (-2,-64)
Step-by-step explanation:
Answer:
smaller r = -10
larger r = 6
The ordered pair for the vertex of the parabola is [tex](-2,-64)[/tex]
Step-by-step explanation:
We have the function [tex]f(r)=r^2+4x-60[/tex]
In order to factor this quadratic equation, we need to look for two numbers that will
Add together to get 4
Multiply together to get -60
Lets look for the numbers that multiply to give us -60.
-1 and 60
1 and -60
2 and -30
-2 and 30
3 and -20
-3 and 20
4 and -15
-4 and 15
5 and -12
-5 and 12
6 and -10
-6 and 10
Now, we just need to determine which of these numbers will add together to get us 4.
Those two numbers would be -6 and 10.
This means that our factored form of this equation will be
[tex]f(r)=(r-6)(r+10)[/tex]
From this, we can find our roots, which are the solutions to the equation when it is equal to 0.
[tex](r-6)(r+10)=0\\\\r=-10, r=6[/tex]
These are our r values.
The vertex of a parabola will always be directly between the two roots.
The number that is between -10 and 6 is [tex]r=-2[/tex]
To find the y-value of the coordinate pair, we just need to plug -2 into our function.
[tex]f(-2)=(-2)^2+4(-2)-60\\\\f(-2)=4-8-60\\\\f(-2)=-64[/tex]
This means that the ordered pair for the vertex of the parabola is [tex](-2,-64)[/tex]
If f(x) = 1 + x2 and g(x) = 1-, which is the rule of function (f-)(x)?
Answer:
= -x^2 +x
Step-by-step explanation:
(x) = 1 - x^2
g(x) = 1-x,
(f-g)(x) = 1-x^2 - ( 1-x)
Distribute the minus sign
= 1-x^2 -1 +x
Combine like terms
= -x^2 +x
84 is 12%of what number
please hurry!!!!!!
Answer: 700
84 is 12% of What Number:
12% of 700 is 84
100% of 700 is 700, therefore 12 percent of 700 equals 84.
To check this, 12% of 700 IS 84 (Check on Calculator)
Hope this helps!!
how many ways can 7 different runners finish in first, second, and third places in a race?
Answer:
210
Step-by-step explanation:
There are 7 * 6 * 5 ways to finish. This is because we have 3 slots:
For 1st place, there are 7 people that could take that place, so we have 7
For 2nd place, there are 6 people, because one person already took 1st, so they cant be second as well.
For 3rd place, there are 5 people, because 2 people already took first and second place, and neither of them can be third then.
So we have:
7*6*5 = 210
Answer:
210 ways
Step-by-step explanation:
For 1 st place there are 7 different runners
Now there are only 6 options
For 2nd place there are 6 different runners
Now there are only 5 options
For 3rd place there are 5 different runners
7*6*5
Which of these questions can be answered with a simple yes or no?
O A. Is there an engineering school?
B. What dining options are offered on campus?
C. What sororities and fraternities are available?
D. How much is the tuition?
How can you tell if an expression is a perfect square trinomial? Explain.
Answer:
Step-by-step explanation:
A perfect square trinomial is the square of a binomial.
One of the special products and factors formulas that you should know is
(a + b)^2 = a^2 + 2ab + b^2; another is (a - b)^2 = a^2 - 2ab + b^2.
So, if you are given a trinomial and can use either of the above identities to rewrite it as the square of a binomial, you've got it.
8. Let ABCD be a parallelogram with A on top left, B on top right, D on bottom left and C on the bottom right. Prove that opposite sides of a parallelogram are congruent.
Answer:
Step-by-step explanation:
A parallelogram is a quadrilateral with four sides.
Given parallelogram ABCD, to prove that opposite sides of the parallelogram are congruent.
Join D to B, the diagonal of the parallelogram which is also a traversal.
So that;
<ABD = <BDC (alternate angle property)
<BAC = <ACD (alternate angle property)
Also, diagonals;
/AC/ = /BD/ (reflexive property)
Then;
ΔABD = ΔCBD (Angle-Side-Angle, ASA, property)
Thus;
/AB/ ≅ /CD/ (corresponding sides of congruent triangles are congruent)
/BC/ ≅ /AD/ (corresponding sides of congruent triangles are congruent)
Therefore, the opposite sides of the parallelogram ABCD are congruent.
What is the solution to log (10x-1)= logs(9x+ 7)?
6
O X=
6
19
O X=
19
X= 7
X= 8
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
[tex]\log _{10}\left(10x-1\right)=\log _{10}\left(9x+7\right)\\\mathrm{Apply\:log\:rule:\:\:If}\:\log _b\left(f\left(x\right)\right)=\log _b\left(g\left(x\right)\right)\:\mathrm{then}\:f\left(x\right)=g\left(x\right)\\10x-1=9x+7\\\mathrm{Add\:}1\mathrm{\:to\:both\:sides}\\10x-1+1=9x+7+1\\\mathrm{Subtract\:}9x\mathrm{\:from\:both\:sides}\\10x-9x=9x+8-9x\\\mathrm{Simplify}\\x=8\\[/tex]
The solution of the equation ㏒₅(10x - 1) = ㏒₅(9x + 7) is x = 8.
What are Logarithms?A logarithm is simply the opposite function of the exponentiation.
It is the exponent to which a number or value is raised to get some other number.
That is, if c = aˣ, then we can write it as x =logₐ c.
Given that,
㏒₅(10x - 1) = ㏒₅(9x + 7)
Let the value of both be n.
So, ㏒₅(10x - 1) = n and ㏒₅(9x + 7) = n
By the definition of logarithms,
10x - 1 = 5ⁿ and 9x + 7 = 5ⁿ
So,
10x - 1 = 9x + 7
10x - 9x = 7 + 1
x = 8
Hence the value of x is 8.
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Someone please help ASAP. I would really really appreciate it if u can. I will mark brainliest
Answer:
[tex]y = -\frac{1}{4} x + 2[/tex]
Step-by-step explanation:
what should be added in the polynomial x3-6x2+11x+8 so that it is completely divisible by 1-3x +x2
Answer:
The value to be added to the polynomial x³ - 6·x² + 11·x + 8 so that it is completely divisible by 1 - 3·x + x² is -(x + 11)
Step-by-step explanation:
By long division, we have;
[tex]{\left ({x^{3}-6x^{2}+11x+8} \right )\div 1 - 3x + x^{2}}[/tex] = x - 3
-(x³ - 3·x² + x)
-3·x² + 10·x + 8
-(-3·x² + 9·x -3)
x + 11
Therefore, -(x + 11) should be added to the polynomial x³ - 6·x² + 11·x + 8 so that it is completely divisible by 1 - 3·x + x².
That is (x³ - 6·x² + 11·x + 8 - x - 11) ÷ (1 - 3·x + x²) = x - 3.
Please help me with my question!!
Answer:
c and d
Step-by-step explanation:
An aeroplane covers a distance of 1500km in a certain time at a certain speed.After increasing the speed by 100km/hr, it covers the same distance in a time which is half an hour less than the previous time. Find the previous speed of the aeroplane.
this is from quadratic equations CBSE grade 10
please answer ASAP
Answer:
previous speed of the aeroplane is 500 km/hr
Step-by-step explanation:
Given: Distance covered by aeroplane = 1500 km
It covers the same distance in a time which is half an hour less than the previous time if the speed is increased by 100 km/hr
To find: previous speed of the aeroplane
Solution:
Let x denotes the previous speed of the aeroplane.
Time taken by an aeroplane if speed is x km/hr = distance/speed = [tex]\frac{1500}{x}[/tex] hours
If speed is increased by 100 km/hr, new speed = (x + 100) km/hr
Time taken by an aeroplane if speed is (x + 100) km/hr = [tex]\frac{1500}{x+100}[/tex] hours
According to question,
[tex]\frac{1500}{x+100}=\frac{1500}{x}-\frac{1}{2}\\ \frac{1500}{x}-\frac{1500}{x+100}=\frac{1}{2} \\\frac{1}{x}-\frac{1}{x+100}=\frac{1}{3000}\\ \frac{x+100-x}{x(x+100)}=\frac{1}{3000}\\ x^2+100x=300000\\x^2+100x-300000=0\\[/tex]
[tex]x^2+600x-500x-300000=0\\x(x+600)-500(x+600)=0\\(x-500)(x+600)=0\\x=500\,,\,-600[/tex]
As speed can not be negative, [tex]x=-600[/tex] is rejected.
So,
previous speed of the aeroplane is 500 km/hr
A recent survey of 3790 people found that out of all respondents, only 579 shop at local farmer's markets. Express the ratio of people who shop at local farmer's markets to the total as a decimal rounded to the thousandths place. 2 points Is this a part-to-part or a part-to-whole ratio? 1 point Use your answer from the first part in a sentence. 3 points
Answer:
Step-by-step explanation:
So I am hoping this is right....
you would take 3790/579
rounded to the thousandths place would be 6.546 rounded
this would be part to whole
so as part to whole for every 100 people 6.546 shop at the local farmers market
A vehicle with a particular defect in its emission control system is taken to a succession of randomly selected mechanics until r = 15 of them have correctly diagnosed the problem. Suppose that this requires diagnoses by 20 different mechanics (so there were 5 incorrect diagnoses). Let p = P(correct diagnosis), so p is the proportion of all mechanics who would correctly diagnose the problem. What is the mle of p?
Answer:
the mle of P=0.833
Step-by-step explanation:
X=incorrect answer
And probability of success to be denoted as P
Here X posses a binomial distribution along with 'r' and 'p'parameter
CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION
Simplify 7(A-6)
A-6
7A-42
7A-6
Answer:
7A - 42
Step-by-step explanation:
7(A-6)
Distribute
7*A - 7*6
7A - 42
The table shows the polar bear population in the North
Atlantic's Baffin Bay in 1997 and 2004.
Between 1997 and 2004, Baffin Bay's polar bear
population
528 is about
<
percent of 2074.
Answer:
Between 1997 and 2004, Baffin Bay’s polar bear population
decreased
.
528 is about
25
percent of 2074.
Step-by-step explanation:
Answer:
decreased
25
Step-by-step explanation:
The following ratios form a proportion.
5\18 = 10/90
True False
Answer:
this is false because 5/18 is equivalent to 10/36
May you help please
Answer:
Option A
Step-by-step explanation:
We are given the inequality 4x + 6 [tex]\leq[/tex] 18;
[tex]4x + 6 \leq 18,\\4x \leq 12,\\\\x \leq 12 / 4,\\x \leq 3,\\\\Conclusion - Option A[/tex]
As you can tell, the second step was derived through the subtraction of 6 from either side of the inequality sign. 18 - 6 is 12, which resulted in the simplified inequality [tex]4x \leq 12[/tex]. Dividing 4 on either side, we derived [tex]x \leq 3[/tex], which is Option A
A fire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute. A fire hydrant with a green cap provides water at a rate of 1,000 gallons per minute. A fire hydrant with a purple cap provides water at half the rate of a fire hydrant with a green cap..Which equation relates the flow of water from the blue hydrant, b, to the flow from the green hydrant, g.
Answer: 2b = 3g
Step-by-step explanation:
This is quite basic to solve, below is a Step by step explanation:
from the given question we have that;
A fire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute.i.e b = 1500 gallons per minute
A fire hydrant with a green cap provides water at a rate of 1,000 gallons per minute.g = 1000 gallons per minute.
Our questions tells us to write the equation which relates the flow of water from the blue hydrant, b, to the flow from the green hydrant, g.
ANS:
Since flow from blue hydrant b = 1500 gallons per minute, we have that
b = 3 * 500
b = 3 * 1000/2 g
b = 3/2 g
equation gives 2b = 2g
cheers i hope this helped !!
