9514 1404 393
Answer:
x = 1
Step-by-step explanation:
You can work this several ways.
1) Consider the factor that gets you from the y-value of the known pair to the y-value of the unknown pair. Here, that factor is -6/12 = -1/2.
Then the unknown value of x is the known value multiplied by that same factor:
x = (-1/2)(-2)
x = 1
__
2) You can write the equation for a "varies directly" relationship and solve for the constant of proportionality. Then you can use that equation to find the unknown value of x.
y = kx . . . . . . . . . . . . . . y varies directly with x
k = y/x = 12/-2 = -6
Now we know ...
y = -6x
Filling in the new value for y, we have ...
-6 = -6x
1 = x . . . . . . divide by -6
__
3) You can write a proportion. Since we want to find a value for x, it is convenient to put that in the numerator.
-2/12 = x/-6
Multiplying by -6, we get ...
(-6)(-2)/12 = x = 1
2.) What is the perimeter of a polygon with vertices at (-3, 1), (5, 1), (-3, 4), (5, 4)?
Answer:
33.1 units
Step-by-step explanation:
The formula to find the sides of an shape when given vertices is
= √(x2 - x1)² + (y2 - y1)²
When we have:(x1, y1) and (x2, y2)
(-3, 1), (5, 1), (-3, 4), (5, 4)
For (-3, 1), (5, 1)
= √(5 - (-3))² + (1 -1)²
= √8² + 0²
= √64
= 8 units
For (5, 1), (-3, 4)
= √(-3 - 5)² + (4 - 1)²
= √-8² + 3²
= √64 + 9
= √73 units
For (-3, 4), (5, 4)
= √(5 - (-3))² + (4 - 4)²
= √8² + 0²
= √64
= 8 units
For (-3, 1), (5, 4)
= √(-3 - 5)² + (4- 1)²
= √8² + 3²
= √64 + 9
= √ 73 units
Perimeter of the Polygon:
=( 8 + √73 + 8 + √73) units
= 33.088007491 units
≈ 33.1 units
Use the graph below to answer the following question:
What is the average rate of change from x = −4 to x = 1?
A.-3
B.-1
C.0
D.1
Answer:
The answer is B.-1
Step-by-step:
When you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. f(x) = x2 and f(x + h) = (x + h)2 Therefore, the slope of the secant line between any two points on this function is 2x + h.p explanation:
HELP PLSSS . Miley is purchasing several yards of fabric for a school project. If she spent $13.41 and the fabric was $2.98 per yard, how many yards did she purchase?
Answer:
4.5 yards of fabric.
Step-by-step explanation:
In order to find out how many yards she purchased, you need to divide the money she spent by the price of fabric per yard. Therefore, you divide
13.41/2.98=4.5
4.5 yards of fabric
I will give you 25 points help please
Answer:
horizontal 2 units to the right, vertical translation 3 units up, vertical stretch by a factor of 4
grrrrrr please help i’ll give u a cookie :)
im only in 6th grade
Step-by-step explanation:
Please someone explain how to solve for x.
Answer:
x =30
Step-by-step explanation:
We can use ratios to solve
18 20
--------- = ----------
18+27 20+x
Simplify
18 20
--------- = ----------
45 20+x
Using cross products
18 *(20+x) = 20*45
18 ( 20+x) = 900
Divide each side by 18
18 /18*(20+x) = 900/18
20+x =50
Subtract 20 from each side
20+x-20 = 50-20
x=30
Answer:
30
Step-by-step explanation:
to solve this type of problem you need to cross multiply.So you get the pairs which are 18 and 20 and 27 and x so the equation looks like 18/20=27/x so 18 times x is 18x and 20 times 27 is 540 so the equation is now 18c=540 then you divide both sides by 18 so x will be isolated which means x will be by itself so 18x divided by 18 is x and 540 divided by 18 is 30 so the equation is now x=30
a + 4 = 6, when a = 2. true false open
Answer:
True.
Step-by-step explanation:
[tex]a+4=6[/tex]
[tex]a=2[/tex]
To see if the equation would be correct given the value of [tex]a[/tex], we have to substitute:
[tex]2+4=6[/tex]
[tex]6=6[/tex]
Since both sides of the equation are equal, the statement is true.
Need a step by step answer please
Answer:
x=10
Step-by-step explanation:
x+2+x=22
combine like terms x + x to get 2x:
2x + 2 = 22
subtract 2 on both sides:
2x = 20
divide by 2 on both sides to isolate x:
x=10
The fastest doughnut machine can fry 9600 doughnuts per hour. Which is closest to the number
of doughnuts this machine can fry every second?
Answer:
9600/60 minutes = 9600/ 360 seconds = 26
Keep practicing :)
Step-by-step explanation:
Answer:
9.6
Step-by-step explanation:
The reason is because you divide this number by 1,000 which gives you 9.6
9600 divided by 1,000= 9.6
The point-slope form of the equation of the line that passes through (-4, -3) and (12, 1) is y-1 =1/4 (x – 12). What
is the standard form of the equation for this line?
Answer: y=1/4x - 2
Step-by-step explanation: The easiest way to solve this would be to graph it in point-slope form then find the slope and y-intercepts. Try using desmos for that method. There are multiple ways to convert point-slope to standard, however, and I would suggest talking to your teacher to see which method s/he prefers you use. Let me know, and I can help you more if you need it.
Hope this helps,
Lacia :))
Let f(x) = 5^x Find f(-3).
what did you guys get?
Answer:
I got 1/125
Step-by-step explanation:
Find the volume of the solid under the plane 3x + 5y − z = 0 and above the region bounded by y = x and y = x4.
Answer:
13/18
Step-by-step explanation:
See attachment
Restless Leg Syndrome and Fibromyalgia
People with restless leg syndrome have a strong urge to move their legs to stop uncomfortable sensations. People with fibromyalgia suffer pain and tenderness in joints throughout the body. A recent study indicates that people with fibromyalgia are much more likely to have restless leg syndrome than people without the disease. The study indicates that, for people with fibromyalgia, the probability is 0.33 of having restless leg syndrome, while for people without fibromyalgia, the probability is 0.03. About 2% of the population has fibromyalgia. Create a tree diagram from this information and use it to find the probability that a person with restless leg syndrome has fibromyalgia.
Answer:
The probability that a person with restless leg syndrome has fibromyalgia is 0.183.
Step-by-step explanation:
Denote the events as follows:
F = a person with fibromyalgia
R = a person having restless leg syndrome
The information provided is as follows:
P (R | F) = 0.33
P (R | F') = 0.03
P (F) = 0.02
Consider the tree diagram attached below.
Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:
[tex]P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}[/tex]
[tex]=\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=\frac{0.0066}{0.0066+0.0294}\\\\=0.183333\\\\\approx 0.183[/tex]
Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.183.
not sure need help
Answer:
0.0078 or 7.8*10^-3
Answer:
7.8 * 10 ^-3
Step-by-step explanation:
( 1.3* 10 ^-5) ( 6 * 10^2)
Multiply the numbers
1.3 * 6 = 7.8
Multiply the exponent terms, remembering we add the exponents, when we multiply
10 ^ -5 * 10 ^2 = 10 ^( -5+2) = 10 ^-3
Put them back together
7.8 * 10 ^-3
Since this is in scientific notation, we are don
Where do you put the parentheses in this equation
9+5÷5+2
Value:2
I am not good at math and this is for my 5th grader
Answer:
here we go.....
Step-by-step explanation:
9+5 equals14 5 +2 equals 7
14 divided by 7 equals 2
hope you get it correct
a cylinder made of metal has radius of 18 cm and height 40 cm if melted how many smaller cylinders of radius 2 cm and height 5 cm can be made
Answer:
648
Step-by-step explanation:
Volume of a cylinder =Pi× r²×h
volume of the cylinder before melted
v=Pi×18²×40
v=40715.04cm³
Volume of the smaller cylinder
v=Pi×2²×5
v=62.83
40715.04÷62.83
=648.019
=648 small cylinder can be made
Need Help. ( Look at the picture). Will Mark Brainliest. Graph the step function over the interval. And you can just write the steps out also. Working on it now but really need help please asap.
Answer:
x = -3
Step-by-step explanation:
f(x) = x + 3
0 = x + 3
-x = 3
x = -3
A bag holds 5 pounds of pet food. If Paul uses the 5 pounds of food to fill 6 plastic containers equally how much pet food will each container hold
Answer:
answer is 0.85 repeat (a line over 5)
Step-by-step explanation:
all you have to do is divide 6 from (5 ÷ 6) wich gives you 0.85 continous (a line over 5) so 0.85 with a line over it is your answer
wilma buys a new game that is priced at 43.89. She gets successive discounts of 15% followed by 5% off on the game. The purchase price of Wilma's game is what percentage of the original price?
Answer:
C
Step-by-step explanation:
Edge 2020
Answer:
c edg
Step-by-step explanation:
the sum of a interior angle measures of a polygon is 5220. How many sides does the polygon have
9514 1404 393
Answer:
31
Step-by-step explanation:
The relationship between sides and the sum of angles is ...
sum of angles = (sides - 2)·180°
Filling in the given value and solving for "sides", we get ...
5220 = (sides -2)180
29 = sides -2 . . . . . . . . . divide by 180
31 = sides . . . . . . . . . . . . add 2
The polygon has 31 sides.
Answer:
31
Step-by-step explanation:
5220/180=29+2=31
Terminating vs. Repeating
Some rational number, such as 1/2, 3/8, and 2/5 have a finite
decimal (terminating decimal); while others, such as 1/3, have
infinite decimal representation (repeating decimal).
For which positive whole numbers, n, is the decimal
representation of 1/n finite? For which is it infinite? Describe
the pattern, if there is one.
Answer:
If the positive whole number is a multiple of 3, one divided by that number will always be a non-terminating decimal.
2^4x4^4=2^4x2^n=2^12
Answer:
don''t knw
Step-by-step explanation:
Please help me, I am sorry that I’m so terrible at math
Answer:
x[tex]\leq[/tex]3
Step-by-step explanation:
hope this helps
Answer:
-6 <x< 3 or x<3, x<-6
Step-by-step explanation:
-18 < 4x +6 < 18
-18-6 <4x< 18-6
-24 <4x< 12
-24/4 <x< 12/4
-6 <x< 3
hope this help you
The equation P = 6s represents the perimeter P of a regular hexagon with side length s. What is the perimeter of a regular hexagon with side length 7 m?
Answer: 42
Step-by-step explanation:
The required perimeter of the regular hexagon is 42 m.
Given that,
The equation P = 6s represents the perimeter P of a regular hexagon with side length s. What is the perimeter of a regular hexagon with side length 7 m is to be determined.
Perimeter is the measure of the figure on its circumference.
here,
the perimeter of the regular hexagon is given,
P = 6s
Put s = 7
P = 6(7)
p = 42
Thus, the required perimeter of the regular hexagon is 42 m.
Learn more about perimeter here:
brainly.com/question/6465134
#SPJ2
what is -3/8 ÷ 7/12 help
Answer:
-9/14
Step-by-step explanation:
Have a good day <3
Answer:
-9/14
Step-by-step explanation:
-3/8 ÷ 7/12
Flip the second fraction and multiply
-3/8 x 12/7
You can cross-simplify
-36/56
-9/14
Hope this helped!
The Census Bureau wants to conduct a survey to determine the percentage of adults that buy clothing online. How many adults do they need to survey in order to be confident that the sample proportion is in error by no more that 2 percentage points.
Answer and explanation:
Please find attached answer and explanation
can someone solve this please 5(5t + 1) = 25t – 7
Which expression shows the COMMUTATIVE PROPERTY of addition?
A. 3 + 5 + 2 = 3 + (5 + 2)
B. 3 + 5 + 2 = 8 + 2
C. 3 + 5 + 2 = 5 + 2 + 3
D. 3 + 5 + 2 = 10
Answer:
C
Step-by-step explanation:
Commutative property means to add in a different order.
g(x)=x^3
f(x)=(x+6)^3 -3
Ring to the equations above the graph of f(x) would be obtained from the graph of g(x) by translating the graph of g(x)
Someone plz help me with this I will mark you as brainlyest