Answer:
6x²y-14xy²
Step-by-step explanation:
2xy(5y-3x)-6xy(4y-2x)
opening brackets
=10xy²-6x²y-24xy²+12x²y
=10xy²-24xy²-6x²y+12x²y
=-14xy²+6x²y
=6x²y-14xy²
Answer:
[tex]6x^2y-14xy^2[/tex]
Step-by-step explanation:
[tex]2xy(5y-3x)-6xy(4y-2x)[/tex]
[tex]2xy(5y)+2xy(-3x)-6xy(4y)-6xy(-2x)[/tex]
[tex]10xy^2-6x^2y-24xy^2+12x^2y[/tex]
[tex]-6x^2y+12x^2y+10xy^2-24xy^2[/tex]
[tex]6x^2y-14xy^2[/tex]
What does 8:8 equal?
Answer:
1
Step-by-step explanation:
8:8=1
Answer:
8:8 simplified is 1:1 or just 1 for short.
Find the sum of natural number from 1 to 30
nth term of an arithemetic sequence 20,50,80,.......
write the algebric form
write the sequence of natural numbers term in the above sequence
Answer:
1. sum of term = 465
2. nth term of the AP = 30n - 10
Step-by-step explanation:
1. The sum of all natural number from 1 to 30 can be computed as follows. The first term a = 1 and the common difference d = 1 . Therefore
sum of term = n/2(a + l)
where
a = 1
l = last term = 30
n = number of term
sum of term = 30/2(1 + 30)
sum of term = 15(31)
sum of term = 465
2.The nth term of the sequence can be gotten below. The sequence is 20, 50, 80 ......
The first term which is a is equals to 20. The common difference is 50 - 20 or 80 - 50 = 30. Therefore;
a = 20
d = 30
nth term of an AP = a + (n - 1)d
nth term of an AP = 20 + (n - 1)30
nth term of an AP = 20 + 30n - 30
nth term of the AP = 30n - 10
The nth term formula can be used to find the next term progressively. where n = number of term
The sequence will be 20, 50, 80, 110, 140, 170, 200..............
The work accomplished by two people working on
the same task for the same amount of time but at
different rates is given by the equation w = riturit.
When solving this equation for t, which of the
following steps would not be algebraically
correct?
W-r1t = r2t
w = t(r1+ r2)
w= r1r2t
Answer:
w = r1r2t is the correct answer which would be the letter C. This is the one that is not algebraically correct.
Step-by-step explanation:
When solving this equation for t the step w= r₁r₂t would not be algebraically correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The following are the basic principles and steps to summarize any linear algebra statement:
Erase all packaging symbols, such as parenthesis and parenthesis, by dividing factors.
Using the exponent rule, grouping can be rule out if the words contain decimals.
To merge words, omit or add similar pictures.
It is given that,
The work accomplished by two people working on the same task for the same amount of time but at different rates is given by the equation,
w=r₁t+r₂t
Taking t common,
w=(r₁+r₂)t
Rearrange the equation as
t=w / (r₁+r₂)
Thus, when solving this equation for t the step w= r₁r₂t would not be algebraically correct.
Learn more about the linear equation here:
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Which equation can be used to represent the statement?
Half of a number minus seven is one and five-tenths.
o 3+x=15
0 1 x - 15-7
07-12-15
Answer:
Read below.
Step-by-step explanation:
x will represent the number
[tex]\frac{1}{2} x-7=1\frac{5}{10} \\\\\frac{1}{2} x-7=1\frac{1}{2}\\\\x-14=3\\\\x=17[/tex]
I don't know you answer choices because they don't really make sense but change them and I'll edit this. Or it could already be one in my working.
Which of the following equations could be that of the ellipse graphed below?
Answer:
A
Step-by-step explanation:
5.
Find the sum of all two - digit natural numbers which are divisible by 3.
Answer:
1665
Step-by-step explanation:
This is AP, where:
First term is: 12= 3*4Last term is: 99= 3*33Common difference is: 3Number of terms is: 33- 3= 30 (because the 4th term is included)S=1/2*30(12+99)= 1665The sum of all two - digit natural numbers which are divisible by 3 is 1665
Calculate the correct solution to the equation -5x = -45 a) x = -9 b) x = 9 c)x = 1/9 d)x = -1/9
Answer:
X=9Solution,
[tex] - 5x = - 45 \\ or \: x = \frac{ - 45}{ - 5} \\ x = 9[/tex]
hope this helps...
Good luck on your assignment...
Answer:
Option B
Step-by-step explanation:
=> -5x = -45
Dividing both sides by -5
=> x = 9
What is the solution to the equation 2 (4 minus 3 x) + 5 (2 x minus 3) = 20 minus 5 x? x = –13 x = StartFraction 5 Over 4 EndFraction x = StartFraction 13 Over 2 EndFraction x = 3
Answer:
8 - 6x + 10x - 15 = 20 -5x
8 + 4x - 15 = 20 - 5x
8 - 15 = 20 - 9x
6 = 20 - 9x
-14 = -9x
divide by -9 .736
Step-by-step explanation:
The solution of the equation 2 (4 – 3x) + 5 (2x – 3) = 20 – 5x will be 3. Then the correct option is D.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
2 (4 – 3x) + 5 (2x – 3) = 20 – 5x
Simplify the equation, we have
2 (4 – 3x) + 5 (2x – 3) = 20 – 5x
8 – 6x + 10x – 15 = 20 – 5x
9x = 27
x = 3
Then the correct option is D.
More about the solution of the equation link is given below.
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Select the two values of x that are roots of this equation.
2x-5=-3x^2
Answer:
A & D
Step-by-step explanation:
=> 3x²+2x-5 = 0
=> Using Mid-term Break Formula
=> 3x²-3x+5x-5 = 0
=> 3x(x-1)+5(x-1) = 0
=> (3x+5)(x-1) = 0
Either,
3x+5 = 0 OR x-1 = 0
x = [tex]-\frac{5}{3}[/tex] OR x = 1
Answer: x = 1 and x = 5/3
Step-by-step explanation:
2. Emma is playing a game with two fair dice.
She needs to score 5, using both dice, to win the
game.
What's the probability she will win the game?
Answer:
The required probability is:
[tex]\dfrac{1}{9}[/tex]
Step-by-step explanation:
It is given that Emma has two fair dice.
To win, she needs to score 5 using both dice.
Cases, where she can have 5:
{(1,4), (4,1), (2,3), (3,2)}
Let the event be A that she gets a score = 5
Total number of favorable cases, n(A) = 4
Total number of cases for throw of 2 dice, n(S) = 36
These are:
{
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
}
Formula for probability of an event E is given as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
or
[tex]P(E) = \dfrac{\text{n(E)}}{\text {n(S)}}[/tex]
Using the above formula, the required probability:
[tex]P(A) = \dfrac{\text{n(A)}}{\text {n(S)}}\\\Rightarrow \dfrac{4}{36}\\\Rightarrow \dfrac{1}{9}[/tex]
So, the required probability is [tex]\dfrac{1}{9}[/tex].
What is the value of x? Enter your answer in the box. x =
Answer:
By using the given information in the diagram, the value of x is 20.
Step-by-step explanation:
From looking at the diagram, the triangles appear to be similar. This means that they are going to have the same ratios between each side.
We are given two measurements on one side of the triangle, 11 and 121. We can find the ratio of these sides by dividing 121 by 11.
121 ÷ 11 = 11
So, the ratio between the two triangles is 11 which means that the ratio for the rest of the sides of the triangle is going to have a ratio of 11. Knowing this, we can turn this into a equation to find the value of x.
[tex]\frac{121}{11} = \frac{5x+10}{10}[/tex]
Cross multiply the terms.
1210 = 55x + 110
Subtract 110 from both sides of the equation.
1210 - 110 = 55x + 110 - 110
1100 = 55x
Divide 55 from both sides of the equation.
1100/55 = 55x/55
20 = x
So, the value of x is 20.
What is the area of the parallelogram if each square is 1 square foot? a. 12 ft ³ b. 12 ft ² c. 12 d. 12 feet
Answer:
12 ft² :)
Step-by-step explanation:
Area of a parallelogram = base * height
4 * 3 = 12
Area of the parallelogram = 12 ft²
the hawaiian alphabet has 12 letters. How many permutations are possible for five of these letters
Answer: The answer is 50980
Step by Step Explanation:
First, temporarily assume that two letters with I are different, call them i 1 and i 2. Three "a" are also called as a 1, a 2 and a 3, and two h as h 1 and h 2. Then there are 11 * 10 * 9 * 8 * 7 = 55440 possible "words" (one of 11 is the first letter, 10 is the second, and so on). But because equal letters do the same "words," some "words" were counted twice or more. We have to deduct the number of "parasitic" counts although it is fairly small. The words that counted more than once are divided into many disjoint sets: 1) with two I but without repetitions of a and h; 2) with two h but without repetitions of a and I 3) with two a but without repetitions of I and h; 4) with three a but without repetitions of I and h; 5) with two I and two a's; 6) two i's and tree a's; 7) two i's and two h's 8) two h's and two a's; 9) two h's and one tree. The first category includes terms counted twice and its scale is (5 * 4) * (6 * 5 * 4) = 2400 (the first I stays at one of the 5 positions, the second at one of the 4, then 11-2i-1h-2a=6). So we have 2400/2 = 1200 to subtract. Group 2 gives -600 as well, and group 3 also. Group 4 gives * (6 * 5) = 1800 (5 * 4 * 3), and the terms are counted 6 times, -300. Groups 5, 7 , 8: 5 * 4 * 3 * 2 * 6 = 720 and counted four times, therefore -180. Group 6 and 9: 5 * 4 * 3 * 2 * 1 = 120, with 12 counts, -10. Altogether -(1200 * 3 + 300 + 180 * 3 + 10 * 2) = -4460.The answer will be 55440-4460 = 50980.
The number of permutations which are possible with the five letters of HAWAIIAN is 1488.
What is permutations?It is the number of times a word can be arranged in a defined order. to calculate the number of permutations we often use nPr formula which states n!/(n-r)!
How to calculate the permutations?We are total 12 letters in the word hawaiian and letters in the alphabet for which permutations need to be calculated are 5. So the number of permutations are:
12P1+12P3+12P2+12P1+12P1
=12!/11!+12!/9!+12!/10!+12!/11!+12!/11!
=3*12*11!/11!+12*11*10*9!/9!+12*11*10!/10!
=36+1320+132
=1488
Hence the number of permutations in the word hawaiian for the 5 letters is 1488.
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Suppose that x is a binomial random variable with n=5, p=. 3,and q=. 7.1. Write the binomial formula for this situation and listthe possible value of x. For each value of x calculate p(☓ =x)
Answer:
[tex]P(X = x) = C_{5,x}.(0.3)^{x}.(0.7)^{5-x}[/tex]
Possible values of x: Any from 0 to 5.
[tex]P(X = 0) = C_{5,0}.(0.3)^{0}.(0.7)^{5-0} = 0.16807[/tex]
[tex]P(X = 1) = C_{5,1}.(0.3)^{1}.(0.7)^{5-1} = 0.36015[/tex]
[tex]P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{5-2} = 0.3087[/tex]
[tex]P(X = 3) = C_{5,3}.(0.3)^{3}.(0.7)^{5-3} = 0.1323[/tex]
[tex]P(X = 4) = C_{5,4}.(0.3)^{4}.(0.7)^{5-4} = 0.02835[/tex]
[tex]P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{5-5} = 0.00243[/tex]
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
In this question:
[tex]n = 5, p = 0.3, q = 1 - p = 0.7[/tex]
So
[tex]P(X = x) = C_{5,x}.(0.3)^{x}.(0.7)^{5-x}[/tex]
Possible values of x: 5 trials, so any value from 0 to 5.
For each value of x calculate p(☓ =x)
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{5,0}.(0.3)^{0}.(0.7)^{5-0} = 0.16807[/tex]
[tex]P(X = 1) = C_{5,1}.(0.3)^{1}.(0.7)^{5-1} = 0.36015[/tex]
[tex]P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{5-2} = 0.3087[/tex]
[tex]P(X = 3) = C_{5,3}.(0.3)^{3}.(0.7)^{5-3} = 0.1323[/tex]
[tex]P(X = 4) = C_{5,4}.(0.3)^{4}.(0.7)^{5-4} = 0.02835[/tex]
[tex]P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{5-5} = 0.00243[/tex]
A drawer contains 60 pairs of socks. Each pair is one of four colors. What is the minimum number of socks that must be drawn, at random, from the drawer to ensure that a pair of matching-color socks is selected?
Answer:
its 5
Step-by-step explanation:
think about it, if you pick 4 socks, it cold be all four different colors but if its 5 then there has to be at least one pair of matching socks so the answer is 5
The total surface area of a right circular cone with the slant height 25cm is 704 sq. cm . Find the volume of the cone.
HELP PLEASE !!!
Answer:
area=πr√{h^2+r^2}
area=704cm^2, Height(h) =25cm
therefore,
by solving, πr√{h^2+r^2}=704cm^2
you will get value of r.
now, volume=πr^2×h/3
putting all values answer will come
Step-by-step explanation:
$98.00 tent;40% discount Plz help
Answer:
$58.80
Step-by-step explanation:
Step 1: Multiply
98.00(0.4) = 39.20 <== This shows how much $ is taken off because of the discount
Step 2: Subtract
98.00 - 39.20 = $58.80
$39.20
Step-by-step explanation:
Start off by multiplying 98 with 0.40... Then you'll get your answer!!!!
PLEASE ANSWER ASAP FOR BRAINLIEST
Answer:
C: 180 degrees
Step-by-step explanation:
Note that it got flipped across the origin, so it is 180 degrees.
Answer:
180 degrees.........
One number is 7 more than twice another. If their difference is 22, what is the larger number?
29
37
43
Answer:
Step-by-step explanation:
We'll write each one of these statements into an algebraic equation. The word "is" means "=", the words "more than" mean "+", and "difference" means subtraction. x will be one number, and y will be the other number. The first sentence, then, in an algebraic equation, is
x = 2y + 7
The second equation, then, is
x - y = 22
Since we know from the first equation what x is equal to, we will sub in what x equals into the second equation in place of x:
2y + 7 - y = 22 and
y + 7 = 22 so
y = 15.
Sub that in for y to solve for x:
x - 15 = 22 so
x = 37
Answer:
its 37
Step-by-step explanation:
The times of the runners in a marathon are normally distributed, with a mean of 3 hours and 50 minutes and a standard deviation of 30 minutes. What is the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes? Use the portion of the standard normal table below to help answer the question. z Probability 0.00 0.5000 0.50 0.6915 1.00 0.8413 2.00 0.9772 3.00 0.9987
Answer: 0.16
Step-by-step explanation:
Given that the run times provided are normally distributed ;
Mean(x) of distribution = 3 hours 50 minutes
Standard deviation(s) = 30 minutes
The probability that a randomly selected runner has a time less than or equal to 3 hours 20 minutes
3 hours 20 minutes = (3 hrs 50 mins - 30 mins):
This is equivalent to :
[mean(x) - 1 standard deviation]
z 1 standard deviation within the mean = 0.84
z, 1 standard deviation outside the mean equals:
P(1 - z value , 1standard deviation within the mean)
1 - 0.8413 = 0.1587
= 0.16
Answer:
A. 16%
Step-by-step explanation:
Hope that this helps. peace and love
Choose the equation that represents the graph below:
8
6
4
ND
No
6 8
-8 -6 -4 -2
- 2 +
-4 +
-6
02
Answer:
y=4/3 x + 4
Step-by-step explanation:
You know the y intercept is 4, since it is shown on the picture.
Then to figure out the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
So that means 4 divided by 3.
Evaluate g(x) = 1.873 -0.0034x +0.5 for x = 1 and x = 2.
Answer:
g(1) = 1.8696
g(2) = 1.8662
Step-by-step explanation:
Simply plug in the x values into the equation in a calc and you should get your answer.
Which graph shows the solutions to x^2+3x-1 ≥ 0
Answer:
if i'm not mistaken the answer is B
Answer:
Ans for the solution is B
Quadrilateral
Wy has vertices W. 19), X10, 10x10,2), and 32,2). Determine if quadrilateral WXYZ is a rhombus,
Answer: no it’s not
Step-by-step explanation:
it’s a square
find the circumference
Answer:
37.68 ft
Step-by-step explanation:
d = 2r = 2*6 = 12
so C = 3.14 * 12 = 37.68 ft
if an angle measuring 20 is bisected to form two new angles, what is the measure of each new angle
Answer:
10 degrees
Step-by-step explanation:
Bisection means dividing into two equal parts
So, if we bisect an angle measuring 20 degrees
It will divide into 2 equal parts and:
=> 20/2 = 10 degrees
Two angles of 10 degrees will be formed.
of a class of 32 students ,17 study music and 20 studyart what is the least number of students who could study both music and art
Answer:
5
Step-by-step explanation:
Sue and Cath have $20 left for a cab fare home. The cab fare is $3 per mile plus a $2 fixed charge. What is the maximum number of miles they will be able to travel in the cab?
Answer:
6 hours
Step-by-step explanation:
There is a direct fee of 2 dollars, so 20-2=18. Then, to figure out how many hours you can go, divide 18/3, which is 6.
You can drive 6 hours.
Hope this helps!
A helicopter flies 665 feet above ground. What is the measure of the angle of depression from the helicopter to the girl’s line of sight? Round to the nearest degree. 23° 25° 65° 67°
Answer:
67°
Step-by-step explanation:
Given:
Height of helicopter from the ground, x = 665 feet
Distance from the helicopter to the girl's line of sight(opposite) = 665ft - 5 ft = 600 ft
Horizontal distance(adjacent) = 280 ft
To find the angle of depression, use the formula:
[tex] tan y = \frac{x}{y} [/tex]
Solve for y:
[tex]y = tan^-^1 (\frac{x}{y})[/tex]
[tex]y = tan^-^1 (\frac{660}{280}) = 67.01[/tex]
Angle of depression = 67°
Answer:
67 degrees
Step-by-step explanation:
Graph y≤−2/3x+6. PLEASE I NEED HELP!!!!:((
Answer:
First graph -2/3x+6 (Slope of -2/3)
(Y intercept of 6)
Then shade everything under that line