Answer:
(-3, 1.5)
Step-by-step explanation:
Take the averages of the x-coordinates and y-coordinates of the 2 points
-5.5 + -0.5 = -6. Divide by 2 to get the average: -6/2 = -3. So, -3 will be the x coordinate of the midpoint.
-6.1 + 9.1 = 3. Divide by 2 to get the average: 3/2 = 1.5. So, 1.5 will be the y coordinate of the midpoint.
The midpoint will be (-3, 1.5)
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°
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
Explain the difference between perimeter and area. What do they measure? What types of units are they measured in? NEED ANSWER STAT!!!!!
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
Which data set is least Likely to resemble a normal distribution?
Look at picture
Answer: B) The heights of girls who live on a certain street in the city of Buffalo
Every answer choice starts with "the heights of all 14-year-old girls who", so we can ignore that part. Choice A describes the largest population while choice B describes the smallest population. In other words, choice A is very general and broad, while choice B is very specific and narrow. The more specific you get and the smaller the population is, the less likely its going to be normally distributed.
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
Simplify: (2x2 − 9x + 3) + (−7x2 + 4x − 2)
Answer:
-5x^2-5x=+1
Step-by-step explanation:
Calculate the width of a 70" TV if the TV has an aspect ratio of 16:9.
Answer:
The TV has a length of 61.01" and a height of 34.32"
Step-by-step explanation:
The size of a TV is given by the length of it's diagonal, in this case the diagonal of the TV is 70". The ratio of the screen is 16:9, which means that for every 16 units on the length of the tv there are 9 inches on its height. The diagonal of the screen forms a right angle with the length and the width, therefore we can apply Pythagora's theorem as shown below:
[tex]diagonal^2 = height^2 + length^2\\\\height^2 + length^2 = (70)^2\\\\height^2 + length^2 = 4900[/tex]
Since the ratio is 16:9, we have:
[tex]9*length = 16*height[/tex]
[tex]length = \frac{16}{9}*height[/tex]
Applying this on the first equation, we have:
[tex]height^2 + (\frac{16}{9}*height)^2 = 4900\\\\height^2 + \frac{256}{81}*height^2 = 4900\\\\\frac{337}{81}*height^2 = 4900\\\\height^2 = \frac{4900*81}{337}\\\\height^2 = \frac{396900}{337}\\\\height^2 = 1177.744\\\\height = \sqrt{1177.744}\\\\height = 34.32[/tex]
[tex]length = \frac{16}{9}*34.32\\\\length = 61.01[/tex]
The TV has a length of 61.01" and a height of 34.32"
Approximate the value of positive square root 5 to the nearest hundredth
Answer:
2.2
Step-by-step explanation:
Please help, I need this answer
Answer:
6.4
Step-by-step explanation:
By the Pythagorean Theorem:
[tex]c=\sqrt{5^2+4^2}= \\\\\sqrt{25+16}= \\\\\sqrt{41}\approx 6.4[/tex]
Hope this helps!
Answer:
To solve we need to use pythogorean theorm. So first we take the square of both giving us 25, 16. Then we add them and get 41. So the answer is squareroot of 41 and if you round you get 6.4
Answer: is approx. 6.4You 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
Suppose f(x)=x^2 and g(x)=1/4x^2. Which statement best compares the
graph of g(x) with the graph of f(x)?
A. The graph of g(x) is the graph of f(x) vertically stretched by a
factor of 4.
B. The graph of g(x) is the graph of f(x) shifted 1/4 units right.
C. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 4.
D. The graph of g(x) is the graph of f(x) horizontally compressed by a
factor of 4.
Answer:
Step-by-step explanation:
Statement A is closest to being correct. To get the graph of g(x), we compress the graph of f(x) vertically due to multiplying f(x) by (1/4).
Answer:
C. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 4.
Step-by-step explanation:
a p e x
An arithmetic sequence has this recursive formula. a1=9 and 1-3 .
The required explicit formula for the sequence is [tex]a_n = 9+(n+1)(-3)[/tex]. Option B is correct.
Given, an arithmetic sequance is given in the form of [tex]\left \{ {{a_1=9} \atop {a_n =a_{n-1}-3} \right.[/tex] .
Explicit formula for the sequence is to be determined.
Arithmetic progression is the sequence of numbers that have common differences between adjacent values.
Example, 1, 2, 3, 4, 5, 6. this sequence as n = 6 number with a = 1 (1st term) and common differene d = 2- 1 = 1.
Given arithmetic sequance is in the form of [tex]\left \{ {{a_1=9} \atop {a_n =a_{n-1}-3} \right.[/tex]
From above expression
[tex]a_n-a_{n-1}= -3[/tex]
common difference (d) = -3
with d = -3 and [tex]a_1 = 9[/tex]
The equation for the nth term in an arithmetic sequence is given by
[tex]a_n =a +(n-1)d[/tex]
[tex]a_n = 9 +(n-1)(-3)[/tex]
The above expression is the explicit form of the arithmetic equation.
Thus, the required explicit formula for the sequence is [tex]a_n = 9+(n+1)(-3)[/tex]. Option B is correct.
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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
A water balloon is thrown from the top of a house. The path of the balloon is modelled by the relation, h = -4.9t2 – 14.7t + 19.6,
where h is the balloon's height, in meters, above ground, and wheret is the time, in seconds.
a.
How tall is the house? (1 mark)
b. How long does it take for the balloon to hit the ground? (3 marks)
What is the maximum height that the balloon reaches? marks)
C.
Answer:
(a)19.6 meters
(b) 1 seconds
(c)30.625 meters
Step-by-step explanation:
The height of the balloon is modeled by the equation:
[tex]h = -4.9t^2- 14.7t + 19.6[/tex]
(a)Since the balloon is thrown from the top of the house, the height of the house is at t=0
When t=0
[tex]h(0) = -4.9(0)^2- 14.7(0) + 19.6\\h=19.6$ meters[/tex]
The height of the house is 19.6 meters.
(b)When the balloon hits the ground
Its height, h(t)=0
Therefore, we solve h(t)=0 for values of t.
[tex]h = -4.9t^2- 14.7t + 19.6=0[/tex]
[tex]-49t^2-147t+196=0\\-49(t^2+3t-4)=0\\t^2+4t-t-4=0\\t(t+4)-1(t+4)=0\\(t+4)(t-1)=0\\t+4=0$ or $t-1=0\\t=-4$ or t=1[/tex]
Therefore, the ball hits the ground after 1 seconds.
(c)To determine the maximum height, we take the derivative of the function and solve it for its critical point.
[tex]If$ h = -4.9t^2- 14.7t + 19.6\\h'(t)=-9.8t-14.7\\$Setting the derivative equal to zero$\\-9.8t-14.7=0\\-9.8t=14.7\\t=-1.5\\$Therefore, the maximum height, h(t) is:\\h(1.5) = -4.9(-1.5)^2- 14.7(-1.5) + 19.6\\=30.625$ meters[/tex]
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
HELPPP PLEASEE l
The gasoline mileage for two cars can be compared by finding the distance each car traveled and the amount of gasoline used. The table shows the distance that car M traveled using x gallons of gasoline.
The graph shows the distance, y, that car P traveled using x gallons of gasoline
Answer:
Car M:
50.4/2 = 25.2
car M uses up 1 gallon every 25.2 miles
Car P:
Just from the graph, you can see that it uses up 1 gallon every 30 miles
The two graphs vary the /miles slightly but it is around their zones of 25.2 and 30. It varies slightly because the cars may be traveling at a fast speed or slower speed thus using up more or less fuel by the time they've reached the recorded distances on the graphs.
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
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:
Container X contained 1200g of sand.Container Y contained 7.2kg of sand.After an equal amount if sand was removed from each container,Container Y had 7 times as much sand as container X.how much sand was removed from each container?
which of these statements us true for f(x)=3•(9)^x
Answer:
C
Step-by-step explanation:
The y-intercept is at x=0, y=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
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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.
Which sum does the model below represent?
+
+
+
OOOOO
a. 4+ (-7) = -3
b. 4 + 7 = 11
c. 8+(-3) = 4
d. 11+ (-4) = -3
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!
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°
M is less than angleAOC = 108 degrees m is less than angle AOB = 3x + 4 degrees m is less than angle BOC = 8x - 28 degrees Find m is less than angle AOB
Answer: angleAOB = 40°
Step-by-step explanation: Drawing these angles, we see that angle AOC is the sum of angle AOB and angle BOC, so:
angleAOC = angleAOB + angleBOC
108 = 3x + 4 + 8x - 28
108 + 24 = 11x
11x = 132
x = 12
Knowing x, to find angleAOB, just substitute and calculate:
angleAOB = 3x+4
angleAOB = 3.12 + 4
angleAOB = 40°
The angle AOB is 40°.
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.
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Joey and Nolan are each solving the equation 13x - 42 = 18 - 7x. Joey's first step was to rewrite the equation as 20x - 42 = 18 while Nolan's first step was to rewrite the equation as 13x = 60 - 7x. Who is correctly applying the addition property of equality in the first step of his work? A. Only Joey B. Only Nolan C. Both Joey and Nolan D. Neither Joey nor Nolan
Answer:
Correct option: C.
(Both Joey and Nolan)
Step-by-step explanation:
The step Joey did is:
Add 7x to both sides of the equation
Then, he got:
13x - 42 + 7x = 18 - 7x + 7x
20x - 42 = 18
The step Nolan did is:
Add 42 to both sides of the equation
Then, he got:
13x - 42 + 42 = 18 - 7x + 42
13x = 60 - 7x
So both of them used correctly the addition property of equality in the first step of their work.
Correct option: C.
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