Answer:
Step-by-step explanation: Although you did not specify, perhaps your were supposed to find some way to do this without a calculator. First ignore the decimals and think about 822649
900 * 900 = 810000 so the first digit of the square root is a 9
The last two numbers are 49 so the square root ends in a 7
Assume the square root is 9a7 where a is not known and expand
(907 + 10a)^2 = 822649 + other terms in a = 822649
a = 0, and we have found 822649 = 907 ^2
0.00822649 is obtained from 822649 by moving the decimal point 8 places
That tells us the square root is obtained from by moving 4 places
The answer is 0.0907......
The points (6, 9) and (0, 6) fall on a particular line. What is its equation in slope-intercept form?
Answer:
[tex]y = \frac{1}{2}x + 6[/tex]
Step-by-step explanation:
[tex]Let \ (x _1 y _ 1 ) = ( 6 , 9 ) \ and \ (x _ 2 , y _ 2 ) \ = ( 0 , 6 )\\\\[/tex]
Step 1 : Find slope, m
[tex]slope, m = \frac{y _ 2 - y _ 1}{x_ 2 - x_ 1 } = \frac{6 - 9}{0 - 6 } = \frac{-3}{-6} = \frac{1}{2}[/tex]
Step 2 : Find the equation
[tex](y - y _ 1 ) = m ( x - x_ 1) \\\\( y - 9 ) = \frac{1}{2} (x - 6 ) \\\\y = \frac{1}{2}x - 3 + 9 \\\\y = \frac{1}{2}x + 6[/tex]
Answer:
y = 1/2x + 6
Step-by-step explanation:
y = mx + b is the formula. m is the slope and to calculate that you use the slope formula y2 - y1/ x2 - x1.
(6, 9) is the first coordinate so 6 is x1 and 9 is y1. Similarly in (0, 6), x2 is 0 and y2 is 6. Now if we put that into the slope formula it would look something like this: 6-9/0-6. that comes to -3/-6. simplify and cancel out the negatives and you get 1/2 which is the m ( slope).
The b is the y-intercept, which is the y value for where the x is 0. In this question, they already give you the coordinate where x is 0. (0, 6). x is 0 and y is 6. therefore the b (y-intercept) is 6.
Put all of this into y =mx +b, and you get y= 1/2x + 6.
If you want to make sure you did it right, just plug in one of the coordinates into this equation. Let's use (6, 9).
9 = 1/2 (6) + 6
9 = 3 + 6
9 = 9. It works out, therefore the equation right.
Hope this helps
Confused on this work
We know that :
⊕ Sum of the interior angles in a Pentagon should be equal to 540°
⇒ x° + (2x)° + (2x)° + 90° + 90° = 540°
⇒ (5x)° = 540° - 180°
⇒ (5x)° = 360°
[tex]\sf{\implies x^{\circ} = \dfrac{360^{\circ}}{5}}[/tex]
⇒ x° = 72°
Which expression represents the algebraic phrase “nine times a number plus thirteen”?
9 minus y + 13
9 + y minus 13
9y + 13
13y + 9
Answer:
9y + 13
Step-by-step explanation:
a number would best represent as a variable (doesn't matter which letter)
plus thirteen would represent an addition to 13
Andrew can paint the neighbor's house 6 times as fast as The year and worked together, it took them 5 days. How long would it take each to paint the house?
Answer: [tex]\dfrac{35}{6}\ \text{days},\ 35\ \text{days}[/tex]
Step-by-step explanation:
Given
Andrew can paint times faster than the other
Suppose the other person take 6x days
So, andrew takes only x days to paint alone
When they work together, it took them 5 days i.e.
[tex]\Rightarrow \dfrac{1}{x}+\dfrac{1}{6x}=\dfrac{1}{5}\\\\\Rightarrow \dfrac{6+1}{6x}=\dfrac{1}{5}\\\\\Rightarrow x=\dfrac{35}{6}\ \text{days}[/tex]
So, time taken by the to finish individually is given by
[tex]\Rightarrow \text{Andrew= }\dfrac{35}{6}\ \text{days}\\\\\Rightarrow \text{Other Person}=6\times \dfrac{35}{6}\\\\\Rightarrow \text{Other Person}=35\ \text{days}[/tex]
An item costs $386 before tax, and the sales tax is $15.20.
Find the sales tax rate. Write your answer as a percentage.
Answer:
Sales tax rate = 3.94%
Step-by-step explanation:
[tex]Sales \ tax \ rate = \frac{15.20}{386} \\\\Sales \ tax \ rate = \frac{38}{965} \\\\[/tex]
Sales tax rate = 0.039378... ⇒ 3.94%
What is sin 62°?
62
17
8
28°
90°
15
O
A.
B.
O O
c.
O
Answer:
The letter C. 15/17
Answer:
sin = opposite/hypotenuse.
the hypotenuse is 17, adjacent is 8 and opposite is 15
15/17 is sine of 62. (C is the correct answer.)
Step-by-step explanation:
Pls pls help it would mean so much!!! The function is f(x)=x^2+4x-1
Tyyyyy
Answer:
the function is decreasing on the interval (-∞,-2) and increasing on the interval (-2,∞)
B
Step-by-step explanation:
first we take the first derivative
x²+4x-1 = 2x+4
set this equal to 0 and solve
2x+4= 0
2x= -4
x= -2
we then have two intervals
(-∞,-2) u (-2,∞)
to find out whether something is decreasing on increasing on these intervals just plug in any number in the interval
if the result is positive it's increasing
if it's negative it's decreasing
Let's plug in x= -4 for the interval (-∞, -2)
2(-4)+4= -4
it's negative so it's decreasing on this interval
let's then plug in x=0 for the interval (-2,∞)
2(0)+4= 4
this is positive so it's increasing on this interval
So the function is decreasing on the interval (-∞,-2) and increasing on the interval (-2,∞)
which is equal to to B
What is the equation of a line passing through the points (2, -6) and (4, -16) in slope-intercept form
Answer:
y=-5x+4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-16-(-6))/(4-2)
m=(-16+6)/2
m=-10/2
m=-5
y-y1=m(x-x1)
y-(-6)=-5(x-2)
y+6=-5(x-2)
y+6=-5x+10
y=-5x+10-6
y=-5x+4
which parallelogram (if any) is a rectangle by what property
Answer:
c
Step-by-step explanation:
i dont know how to explain it but yeah
Answer:
c
Step-by-step explanation:
I need help with my geometry work!
Answer:
43 degrees
Step-by-step explanation:
If a test consists of ten mulitpel choice questions,with each permiting aposible answers.How mmany ways are ther in wvhich a student give his answer?
The question given is incomplete, find the possible version in the comment below.
Answer:
9765625 ways
Step-by-step explanation:
To solve questions of this kind, we can apply the product rule ;
We have 10 different questions, each with 5 alternative options, even though there is only one correct answer, the number of answers that can be chosen (either correct or incorrect) is 5 ;
Therefore, we have 5 possible choices for each question :
Question 1 = 5 ; question 2 = 5,....
This can be written as :
5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 = 5^10 = 9765625 ways
Mike just hopped on the edge of a merry-go-round. What are his linear and angular speeds if the diameter of the merry-go-round is 14 feet and it takes 6 seconds for it
to make a complete revolution? Round the solutions to two decimal places.
Step-by-step explanation:
Given that,
The diameter of the merry-go-round, d = 14 feet
Time taken, t = 6 seconds
Radius, r = 7 feet
The linear speed of the merry-go-round is given by :
[tex]v=\dfrac{2\pi r}{t}\\\\v=\dfrac{2\pi \times 7}{6}\\\\=7.33\ m/s[/tex]
Also,
[tex]v=r\omega[/tex]
Where
[tex]\omega[/tex] is the angular speed
So,
[tex]\omega=\dfrac{v}{r}\\\\\omega=\dfrac{7.33}{7}\\\\=1.04\ rad/s[/tex]
Hence, his linear and angular speeds are 7.33 m/s and 1.04 rad/s.
Date:
ASSIGNMENT: Wages and Salaries
1. Martha works as a window dresser in her hometown
of Victoria, BC. To finish a window at a local clothing
store, she charged $16.72 per hour. If it takes her
five hours to finish the window, how much will her
gross pay be for the job?
integers between -2 and +3
Answer:
-1, 0, 1, 2,
Step-by-step explanation:
PLS HELP IF YOU CAN!THIS IS DUE IN 30 MINUTES :(
A homeowner wants to fence in a rectangular yard space along one side of her house. The total area she can fence in is 800 square feet. Create a model to determine a possible length and width of the yard. *REMEMBER*: AREA = LENGTH times WIDTH.
Answer:
Length: 20 or 40 feet
Width: 40 or 20 feet
Step-by-step explanation:
Area = 800 = length*width = x*(60-x)= 60x - x^2
- x^2 + 60x - 800 = 0
x = 20
Or x = 40
So length can be either 20 feet or 40 feet and width can be 40 (60-20) or 20 (60-40)
A basketball team had four players tryout for each of the five positions. How many ways could the team be formed?
Answer:
120
Step-by-step explanation:
i dont know the exact reason but the formula to problems like this is the actual number which is 5 in this sitaution and then multiply the numbers below it. For the equation i did 5x4x3x2x1 and i got 120
Question 4 of 10
The mean of 100 numerical observations is 47.83. What is the value of the
sum of all 100 numbers?
O A. 47.83
O B. 4783
O C. 0.4783
O D. 478.3
O E. 4.783
Answer:
B; 4,783
Step-by-step explanation:
To find the sum, we have to multiply the number of observations by the mean
Therefore, we simply have the sum calculated as follows;
100 * 47.83 = 4,783
PLEASE PLEASE PLEASE HELP ME!!! IM SO CLOSE TO GETTING THE SCORE I NEED
explaining your answer = brainliest
The radius of a circle is 2 kilometers. What is the area of a sector bounded by a 36° arc?
answer has to be in SIMPLEST form
Answer:
[tex]\frac{2}{5} \pi[/tex] [tex]km^{2}[/tex]
Step-by-step explanation:
In this problem, we will use the following formula:
A = [tex](\frac{C}{360}) \pi r^{2}[/tex] , where r = radius & C = central angleStep 1: Plug in for C and r.
A = [tex](\frac{C}{360} )\pi r^{2}[/tex]A = [tex](\frac{36}{360})\pi 2^{2}[/tex]Step 2: Solve.
A = [tex](\frac{1}{10})4\pi[/tex]A = [tex]\frac{2}{5} \pi[/tex]Final answer (simplified & exact): [tex]\frac{2}{5} \pi[/tex] [tex]km^{2}[/tex]
Sorry it took so long to complete... kinda started with the wrong answer... But I hope this helps and that you have a great rest of your day!
In triangle FGH, angle G is 30 degrees and angle H is 100 degrees. What is the measure of angle F? * 1 point 50 degrees 70 degrees 130 degrees 30 degrees
Shape a and shape b are each made from four identical sqaures the perimeter of shape a is 56 cm work out shape b
Answer:
44.8 cm
Step-by-step explanation:
Given
See attachment for shapes
[tex]P_A= 56cm[/tex]
Required
The perimeter of B
Let the length of a side of the square that makes up A be, l.
So, we have:
[tex]P_A = 10 * l[/tex] --- because A is formed by 10 sides of l
[tex]56 = 10 * l[/tex]
[tex]l =\frac{56}{10}[/tex]
[tex]l =5.6[/tex]
The perimeter of B is:
[tex]p_B = 8*l[/tex] --- because B is formed by 8 sides of l
[tex]p_B = 8*5.6[/tex]
[tex]p_B = 44.8[/tex]
Complete the angle addition postulate for the following angle
Answer: AOB
This is because angle AOB on top adds with BOC down below to get the largest angle AOC. See the diagram below.
The points (4,1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x? A. X = -3 B. X = 3 C. X = 9 D. X = 11
Answer:
Step-by-step explanation:
Use the slope formula here along with the fact that the slope is equal to 1:
[tex]1=\frac{-6-1}{x-4}[/tex] and
[tex]1=\frac{-7}{x-4}[/tex] and cross multiply to get x - 4 = -7 so
x = -3
Jackson has a monthly sabry of $2750. He also resensies 2.5% commission on all sales over $6000. What is his salary in a month when he has sales of $ 14000
Answer:
$3100
Step-by-step explanation:
Just do 0.025*14000=350. Then add it to $2750
NEED HELP ASAP PLS
10. Jimmy was a busboy and makes 7.15 per hour. Ashley is a server and makes 3.40 per hour plus about $105 in tips per week. how many hours would they have to work to make the same amount?
Answer: 28 hours
Step-by-step explanation:
1. Write original equation: 7.15x=3.40x+105
2. Combine like terms to isolate x: 3.75x=105
3. Divide both sides by same amount to find x: x=28
They would have to work 28 hours to earn the same amount of money.
If i get 8 dollars an hour , and work 5 hours and work 3 days a week , how much money did i make that week
Answer: $120
Step-by-step explanation:
8x5=40 40x3=120
you multiply 8 and 5 then multiply the answer to 3 and you get 120
carlos is using a hose to fill a bucket. the path of the water can be represented by the function f(t) where f(t) represents the height of the water in inches and t represents the time in seconds.
Answer:
The function represents the height of the water in the bucket
Step-by-step explanation:
Given
[tex]f(t) = -t^2 + 4t[/tex]
Required
State what the function represents
From the question, we understand that t represents the time spent while the function illustrates the water level in the bucket.
This implies that f(t) calculates the height of the water in the bucket, given the value of time (t)
I
5 : 20 = 125 : 500
Answer:
20
Step-by-step explanation:
Darrel receives a weekly salary of $435. In addition, $12 is paid for every item sold in excess of 100 items. How much will Darrel earn for the week if he sold 189 items?
Answer:
2703
explanation:
12×189=2268
2268+435=2703
Darrel earned 1503 dollars that week.
How to count no. of digits from a certain no. to a certain no. ?Suppose we are given how many no. are there from 224 to 358.
To find do the following (358 - 224 + 1) = 135 numbers.
According to the question Darrel receives a weekly salary of 435 dollars. In addition, 12 dollars is paid for every item sold in excess of 100 items.
Here excess of 100 items means after 100 which is 101.
He sold 189 items so his addition earning is for (189 - 101 + 1) = 89 items.
Given for each item he is paid 12 dollars.
∴ For 89 items he is paid (89 × 12) dollars which is
= 1068 dollars.
So in that week Darrel earns total of (435 + 1068) dollars.
= 1503 dollars.
Learn more about these types of problems here :
https://brainly.com/question/16093003
#SPJ2
If h(2) = 5 – 722, what is h(-1)?
Answer:
Step-by-step explanation:
Help me please and thank you
Step-by-step explanation:
i dont know i guess we'll never know