Answer: (0,-9)
Step-by-step explanation:
(0,-9) is the y-intercept because it is the point at which the function crosses the y-axis.
tell me weather 16641 is a perfect square by division method an please show me the solution too
Answer:
yes
Step-by-step explanation:
you see we need to make pairs and then we divide each one by square numbers and I have given picture
Answer:
Yes, the number 16,641 is a perfect square.
Step-by-step explanation:
16641 is the 129th perfect square number
__________________________________________
1 2 9
1 1 66 41
1
22 66
44
249 22 41
22 41
258 0
Number = 16641
Square Root = 129
________________________________
Step-1 :
Make pair of digits of given number starting with digit at one's place. Put bar on each pair.
1 66 41
Step-2 :
Now we have to multiply a number by itself such that the product ≤ 1
Here 1×1=1≤1, So divisor is 1 and quotient is 1. Now do the division and get the remainder.
1
1 1 66 41
1
0
Step-3 :
Now , we have to bring down 66 and quotient 1 is multiplied by 2 becomes 2, which is starting digit of new divisor
1
1 1 66 41
1
2 66
Step-4 :
2 should be the digit at one's place of new divisor because when 22 is multiplied by 2 we get 44.
So new divisor is 22 and next digit of quotient is 2. Now do the division and get the remainder.
1 2
1 1 66 41
1
22 66
44
22
Step-5 :
Now , we have to bring down 41 and quotient 12 is multiplied by 2 becomes 24, which is starting digit of new divisor
1 2
1 1 66 41
1
22 66
44
24 22 41
Step-6 :
9 should be the digit at one's place of new divisor because when 249 is multiplied by 9 we get 2241.
So new divisor is 249 and next digit of quotient is 9. Now do the division and get the remainder.
1 2 9
1 1 66 41
1
22 66
44
249 22 41
22 41
0
Answer: 129 (proof 129^2) = 16,641 or 129 x 129 = 16,641
______________________________
Second Solution shortcut:
A perfect square is a number that can be expressed as the product of two equal integers.
The only way to accurately calculate if a number is a perfect square is to find the factors. Before we go through the trouble of finding the factors, there is a quick trick you can use to help determine if you need even need to do the extra work.
Try these steps first:
A number that is a perfect square never ends in 2, 3, 7 or 8. If your number ends in any of those numbers, you can stop here because your number is not a perfect square.
Obtain the digital root of the number. The digital root essentially is the sum of all of the digits. If you're lost, don't worry, we'll go over each step in more detail below.
All possible numbers that are a perfect square have a digital root of 1, 4, 7, 9.
Let's try it...
Step 1:
What is the last number of 16,641? It is this number: 16641. The answer is 1. Is 1 in the list of numbers that are never perfect squares (2, 3, 7 or 8)?
Answer: NO, 1 is not in the list of numbers that are never perfect squares. Let's continue to the next step.
Step 2:
We now need to obtain the digital root of the number. Here's how you do it:
Split the number up and add each digit together:
1 + 6 + 6 + 4 + 1 = 18
If the answer is more than one digit, you would add each digit of the answer together again:
1 + 8 = 9
What is the digital root of number 16,641?
Answer: 9
Step 3:
So now we know the digital root of 16,641 is 9. Is 9 in the list of digital roots that are always a square root (1, 4, 7 or 9)?
Answer: YES, 9 is in the list of digital roots that are always perfect squares. We can conclude that 16,641 could be a perfect square!
Factoring
OK, so now we know that 16,641 could be a perfect square. We have to find the factors of the number to be sure.
Here are all of the factors of 16,641:
1 x 16,6413 x 5,5479 x 1,84943 x 387129 x 129
Highlighted in orange above is the factor combination that makes 16,641 a perfect square. Do you see why? A number can only be a perfect square if the product of two exactly the same numbers is equal to the original number.
Here's the proof: 129 x 129 = 16,641
PLEASE HELP - PLEASE SHOW WORK Given the following functions, find each of the values: f(x)=x^2−7x+6 g(x)=x−1 (f+g)(−5)= ______ (f−g)(4)= ______
Answer:
(f+g)(-5) = 60(f-g)(4) = -9Step-by-step explanation:
These are the values we will need:
f(-5) = (-5)^2 -7(-5) +6 = 25 +35 +6 = 66
f(4) = 4^2 -7(4) +6 = 16 -28 +6 = -6
g(-5) = -5 -1 = -6
g(4) = 4 -1 = 3
__
(f+g)(-5) = f(-5) +g(-5) = 66 +(-6)
(f+g)(-5) = 60
__
(f-g)(4) = f(4) -g(4) = -6 -3
(f-g)(4) = -9
Inscribed Angles - Find the value of x - WILL GIVE BRAINLIEST!
[tex]answer = 136 °\\ solution \\ x + 44 = 180(opposite \: angles \: of \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: a \: cyclic \: quadrilateral \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: are \: supplementary) \\ or \: x = 180 - 44 \\ x = 136° \\ hope \: it \: helps[/tex]
Determining a Number of Solutions
Quick
Check
Determine whether the systems have one solution, no solution, or infinitely many solutions.
3x - 2y = 3; 6x - 4y = 1
One Solution
No Solution
Infinitely Many Solutions
3x - 5y = 8,5x - 3y = 2
3x + 2y = 8; 4x + 3y = 1
3x - y = 3; 2x - 4y = 2
3x - 4y = 2, 6x - y = 1
Intro
Done
Answer:
No Solution
Step-by-step explanation:
For one solution;
it will be consistent and independent ( example, x = 1 and y = 2)
For no solution;
it will be inconsistent and independent ( example, 0 = 2)
For many solution;
it will be consistent and dependent ( example, 1 = 1, 2 = 2, y = y, x = x)
Given;
3x - 2y = 3 -------------- equation (1)
6x - 4y = 1 --------------- equation (2)
6: 18x - 12y = 18 -------------equation (3)
3: 18x - 12y = 3 --------------- equation (4), subtract (4) from (3)
--------------------------------------------
0 - 0 = 15
-----------------------------------------------
0 = 15
The solution is inconsistent and independent, because zero (0) cannot be equal to 15
Thus, the system has no solution
Answer:
ONE SOLUTION
3x-5y=8; 5x-3y=2
3x+2y=8; 4x+3y=1
NO SOLUTION
3x-4y=2; 6x-8y=1
3x-2y=3; 6x-4y=1
INFINITELY MANY SOLUTIONS
3x-6y=3; 2x-4y=2
Step-by-step explanation:
i got this right on edge
Buses to Acton leave a bus station every 24 minutes. Buses to Barton leave a bus to Barton every 20 minutes A bus to Acton and a bus to Barton both leave the bus station at 9:00am When will a bus to Acton and a bus to Barton next leave the bus station at the same time?
Answer:
11 am
Step-by-step explanation:
Which sum does the model below represent?
+
+
+
OOOOO
a. 4+ (-7) = -3
b. 4 + 7 = 11
c. 8+(-3) = 4
d. 11+ (-4) = -3
The science club is experiencing a growth in membership. On average, they are
seeing 2 new members sign up each week. If they started with 10 members which
function, S(x), represents the number of members in the science club after x weeks?
Answer:
S(x)= 10+2^x
Step-by-step explanation:
The correct function which represents the number of members in the science club after x weeks is,
S (x) = 10 + 2ˣ
We have,
The science club is experiencing a growth in membership.
On average, they are seeing 2 new members sign up each week.
Here, they started with 10 members.
Hence, The function S (x) which represents the number of members in the science club after x weeks is,
S (x) = 10 + 2ˣ
Where, x is number of weeks.
Therefore, The function is,
S (x) = 10 + 2ˣ
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ2
find the area of a rectangle with a width of 16 centimeters and a length of 55 centimeters
Answer:
The area of the rectangle is 880 cm
Step-by-step explanation:
Lenght = 55cm
Breadth/width=16cm
Area of rectangle= lenght×breadth
Area= 55×16
Area= 880
Hence, area of rectangle is 880cm
P.S - Mark me as the brainliest :D
Solve for x: 3 < x + 3 < 6
Answer:
0 < x < 3
Step-by-step explanation:
3 < x + 3 < 6
Subtract 3 from all sides
3-3 < x + 3-3 < 6-3
0 < x < 3
Steps to solve:
3 < x + 3 < 6
~Subtract 3 to all sides
3 - 3 < x + 3 - 3 < 6 - 3
~Simplify
0 < x < 3
Best of Luck!
I need help ASAP!!!!
Answer:
look on symbolab got my answer from there'
Step-by-step explanation:
David drove a distance (d) of 187 km, correct to 3 significant figures.
He used 28 litres of petrol (p), correct to 2 significant figures.
The petrol consumption (c) of a car, in km per litre, is given by the formula
C=
d
р
By considering bounds, work out the value of c for David's journey
to a suitable degree of accuracy.
You must show all your working and give a reason for your final answer.
Answer:
7
Step-by-step explanation:
LB of d = 186.5
UB of d = 187.5
LB of p = 27.5
UB of p = 28.5
186.5/28.5 = 6.54
187.5/27.5 = 8.81
The answer is 7 since both bounds round up to 7.
The value of c for the David journey is 7.
Calculation of the value of c:Since David drove a distance (d) of 187 km
So here the 3 significant figures should be
LB of d = 186.5
UB of d = 187.5
And,
LB of p = 27.5
UB of p = 28.5
Now the average should be
[tex]186.5\div 28.5[/tex] = 6.54
And,
[tex]187.5\div 27.5[/tex] = 8.81
So, The value of c for the David journey is 7.
Learn more about distance here: https://brainly.com/question/23561100
You are given the steps for constructing the bisector of an angle using a compass and a straightedge. Arrange the steps in the correct sequence
Step-by-step explanation:
position your compass at point A and using the same distance mark arcs on line AB(mark the point it meets the line D)and AC(mark the meeting point of the arc and the line E).Place your compass at D and draw an arc at the middle of the angle,using the same measurements position your compass at point E and draw an arc.Where the two arcs meet label F using a ruler draw a straight line from F to meet point A.
Note;the width of the compass when making the arcs should be the same always
determine the volume of a sphere with a diameter of 1.30m in maths
Answer:
1.15 m³
Step-by-step explanation:
i hope its correct and i hope its helpful
Step-by-step explanation:
hey can yuh show work by step by step...since its hard plzz
What is the equation for ⨀C?
Answer:
A
Step-by-step explanation:
r^2 = (x - k)^2 + (y - h)^2
Work Shown:
(h,k) = (2,-2) is the center. So h = 2 and k = -2
r = 4 is the radius. We go 4 units from the center C to point P
Therefore,
(x-h)^2 + (y-k)^2 = r^2
(x-2)^2 + (y-(-2))^2 = 4^2
(x-2)^2 + (y+2)^2 = 16
What is the area of this triangle? Enter your answer
Answer:
6
Step-by-step explanation:
3 is the bottom the height is 4 because if you go to the top and count it 4 the 3x4 / 2= 6
A number is selected from the set (1, 2, 3, 5, 15, 21, 29, 38, 500). If equal elemental probabilities are assigned, what is
the probability that the number chosen is either less than 29 or odd?
Answer:
[tex]\frac{7}{9}[/tex] OR 77.78%
Step-by-step explanation:
So, we first need to find out how many numbers fit the "less than 29 or odd" group.
This would be: 1, 2, 3, 5, 15, 21, and 29, which is a total of 7 numbers.
Next, we figure out the total amount of numbers in the population.
This would be: 1, 2, 3, 5, 15, 21, 29, 38, and 500, which is a total of 9 numbers.
Finally, we put the first number (7) over the total (9) = [tex]\frac{7}{9}[/tex]
[tex]\frac{7}{9}[/tex] is now able to be written in a percentage, if you need.
The probability is [tex]\frac{7}{9}[/tex] OR 77.78%
A class has 18 students. The teacher asks how many students in the class have pets and finds 5/9 of the students have pets. How many students have pets? * 1 point 9 8 10 11
Answer:
9 students
Step-by-step explanation:
5/9 of 18 is 10
Explain the difference between perimeter and area. What do they measure? What types of units are they measured in? NEED ANSWER STAT!!!!!
a family of 8 has 3 of them being males what proportion of the family is female
Answer: not very sure but i think that may be 5
Step-by-step explanation:
town B is 40 km due north of town a what is the bearing of a from B
Answer:
180°
Step-by-step explanation:
In bearing the protractor is placed in the North-South direction(eastside) thus directly north is on a bearing of 0°.After you mark the point B. A will be directly south which is on a bearing of 180°
A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the
culture 6 days after inoculation?
Answer:
therefore the population of the culture is 2313
Exactly 1 1/3 yard of ribbon is needed to make a bow. Which of the following lengths of ribbon could be used to make a bow with the least amount remaining?
The answer choice which could be used to make a bow with the least amount remaining is; 1 2/5 yards.
Which Length of ribbon renders the least remainder?It follows from the task content that the amount of ribbon remaining in each case can be evaluated as follows;
For 1 2/5 yards: 1 2/5 - 1 1/3 = 1/15. renders only 1/15 a yard to waste.
For 1 and 1/6 yards would render a waste of 1 1/6 yards since it is not possible to make a ribbon out of it.
1 2/10 yards would render a waste of 1 and 1/5 yards since it is not possible to make a ribbon out of it.
Read more on fractions;
https://brainly.com/question/78672
#SPJ1
b) Find the value of 2a2 + 5b2 when a = -6 and b = 2
Answer:
-4
Step-by-step explanation:
2a2+5a2
2(-6)2=-24
5(2)2=20
-24+20=-4
Answer: -4
Step-by-step explanation:
(2x-6×2)(5×2×2)
-24+20
-4
E is in the corner by 10.5 on question 9
Answer:
see below
Step-by-step explanation:
7. The similar rectangles are W and Z.
8. EF = 18 * 1.8 = 32.4
9. BD = 20 / 2.5 = 8.
Omar recorded the number of hours he worked each week for a year. Below is a random sample that he took from his data.
13, 17, 9, 21
What is the standard deviation for the data?
Standard deviation: s = StartRoot StartFraction (x 1 minus x overbar) squared + (x 2 minus x overbar) squared + ellipsis + (x n minus x overbar) squared Over n minus 1 EndFraction EndRoot.
A.) 0
B.) 4
C) 2
D.) 26.7
Answer: B) 4
Step-by-step explanation:
Using the formula
Standard deviation = √( (Σ ( x - π)²)/n)
To get the standard deviation, first we workout the Mean which is the simple average of the data set
n = 4
(13 + 17 + 9 + 21) / 4 = 60/4 = 15
Mean(x) = 15
Then (x-π)²
13 - 15 = (-2)² = 4
17 - 15 = (2)² = 4
9 - 15 = (-6)² = 36
21 - 15 = (6)² = 36
Σ ( x - π)² = (4 + 4 + 36 + 36) = 80
Standard deviation = √( (Σ ( x - π)²)/n
= √ (80/4)
=√20
= 4.47
= 4
a card is drawn at random from a pack of 52 playing cards. find the probability tht the card drawn is neither an ace nor a king
Answer:
[tex]\frac{11}{13}[/tex]
Step-by-step explanation:
There are 4 aces and 4 kings.
[tex]\frac{8}{52} =\frac{2}{13}[/tex]
Now just subtract that from 1.
[tex]\frac{11}{13}[/tex]
Point B has coordinates (3,2). The x-coordinate of point A is negative 9. The distance between point A and point B is 15 units. What are the possible coordinates of point A?
Answer:
(-9,9) or (-9,-7) are the possible coordinates
Step-by-step explanation:
We can use the formula for the distance between two points to get this
Mathematically, this can be;
d = √(x2-x1)^2 + (y2-y1)^2
Now let our point A be (x1,y1) = (-9,n)
let’s say y1 is n for now
For point B, we have (x2,y2) = (3,2)
and our d is 15 units
Inputing the values, we have
15^2 = (3+9)^2 + (2-n)^2
225 = 144 + (2-n)^2
225-144 = (2-n)^2
(2-n)^2 = 81
(2-n) = √(81)
2-n = -9
or 2-n = 9
n = 11 or n = -7
Now the possible coordinate values of point A are;
(-9,9) or (-9,-7)
Answer:
Step-by-step explanation:The distance between points is given by the following equation:
d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
Substituting we have:
15 = root ((- 9 -3) ^ 2 + (a-2) ^ 2)
We clear the value of a:
(15) ^ 2 = (root ((- 12) ^ 2 + (a-2) ^ 2)) ^ 2
225 = (- 12) ^ 2 + (a-2) ^ 2)
Rewriting:
225 = 144 + (a-2) ^ 2
225-144 = (a-2) ^ 2
81 = (a-2) ^ 2
a-2 = +/- root (81)
a = +/- 9 + 2
The possible values are:
a1 = 9 + 2 = 11
a2 = -9 + 2 = -7
Then, the possible coordinates of point a are:
(-11, 11)
(-11, -7)
Answer:
the possible coordinates of point a are:
(-11, 11)
(-11, -7)
Find the missing factor
Answer:
The missing factor is (9s+1)
Step-by-step explanation:
The missing factor is (9s+1) because of the following
(9s^2 + s) + (18s+2)
If we factor out s from 9s^2+s, we get s(9s+1).
If we factor out 2 from 18s+2, we get 2(9s+1)
putting these together, we get s(9s+1) + 2(9s+1). Factoring out the common term of 9s+1, we get (9s+1)(s+2). therefore, the missing factor is 9s+1
Mehmut is 4 times as old as his brother, but
next year he will be only 3 times as old. Find
Mehmut's age now?
ALICIA CONYERS
7:20 AM
Answer:
Mehmut is 8 years old.
Step-by-step explanation:
From the statement we can get the following information, let M be Mehmut's age and b brother's age:
M = 4 * b
M + 1 = 3 * (b + 1)
We replace the first equation in the second and we are left with:
4 * b + 1 = 3 * b + 3
4 * b - 3 * b = 3 - 1
b = 2
Now, we replace to calculate M:
M = 4 * b
M = 4 * 2
M = 8
Mehmut is 8 years old.
What is the measure of < B, in degrees?
Answer:
B. 32°
Step-by-step explanation:
Since two of the sides are 10 in length, then we can infer that ∠A and ∠C are congruent. So, both equal 74°. You add 74 + 74 + x = 180, x would equal 32°.
Answer:
B
Step-by-step explanation:
sum of angle in triangle is 180
and since its isosceles triangle, it means <C will be same with <A
so we know that A + C = 148.
so the value of B will be like this
B = 180° - (A+C)° = 180 - 148 = 32°