Hi!
The words "y varies inversely as x" automatically means we can write:
[tex]y=\cfrac{k}{x}[/tex]
Note that this is a fraction because it said "inversely". If it had said "jointly" or "directly", it would have been [tex]y=kx[/tex].
Now, we plug in the given values to solve for k.
We are given:
[tex]y = 0.4[/tex]
[tex]x = 0.8[/tex]
Plug those in and we have:
[tex]0.4=\cfrac{k}{0.8}[/tex]
Multiply both sides by [tex]0.8[/tex]:
[tex]0.32=k[/tex]
Now, with the value of [tex]k[/tex] solved for, we put it back into the original equation, and that's your answer:
[tex]y=\cfrac{0.32}{x}[/tex]
For a similar problem, see:
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The bacteria in a petri dish doubles every hour. If there are 3 present, how many will there be in 15 hours?
Answer:
98304 bacteria
Step-by-step explanation:
3x2^1 = 6
3x2^2 = 12
3x2^3 = 24
3x2^15 = 98304
Please help me GENIUS Rank
Directions: Complete the following frequency distribution table, then compute the mean, median, and mode of the distribution. Show your complete solutions. (25 points)
Class interval] frequency (f)] fxm
99-101 ] 17 ].
102-104 ] 25 ]
105-107 ] 13 ]
108-110 ]. 16 ]
111-113 ]. 29 ]
total ]N= ]. Efxm=
less than cumutalti frequency (<cf)
[. ]
[. ]
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[. ]
Please Help!!!!
Find the slope of the line.
Answer:
-1/2
Step-by-step explanation:
Use the two points shown.
slope = rise/run
Start at teh left point.
Go down 2 units. That is a rise of -2.
Now go right 4 units. That is a run of 4.
slope = rise/run = -2/4 = -1/2
Find the area of the triangle.
Height = 4 ft
Base = 12 1/2 ft
Area = ? square feet
Write the equation of the circle
with center (2,-5) and radius of 4.
*
Answer:
[tex](x - 2) {}^{2} + (y + 5) {}^{2} = 16[/tex]
Step-by-step explanation:
Equation of circle is:
[tex](x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} \\ [/tex]
Here (h,k) are the coordinates of center and r is radius
(h,k) =(2,-5)
r. = 4
plug in the values of h,k and r
[tex](x - 2) {}^{2} + (y - ( - 5)) {}^{2} = 4 {}^{2} \\ (x - 2) {}^{2} + (y + 5) {}^{2} = 16[/tex]
Answer:
[tex](x-2)^2+(y+5)^2=16[/tex]
Step-by-step explanation:
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
(where (a, b) is the center and r is the radius)
Given:
center = (2, -5)radius = 4Substitute the given values into the equation:
[tex]\implies (x-2)^2+(y-(-5))^2=4^2[/tex]
[tex]\implies (x-2)^2+(y+5)^2=16[/tex]
Zearnn help... I've been stuck working hard
Calculate the area of the room and then subtract the area of the tiled floor.
area of room = 11 3/4 x 5 = 58 3/4
Area of tiled floor = 7 1/2 x 3 1/4 = 24 3/8
area of carpet = 58 3/4 - 24 3/8 = 34 3/8
answer: 34 3/8
i need help with this math
Which of the following is equivalent to
?
60 ^1/2
Answer:
60^1/2 = 60^0.5 = sqrt 60 = 7.75
good luck :))) <3
What is the answer to this?…
[tex]~~~~~\dfrac 34n = 9\\\\\\\implies n = \dfrac{9 \times 4} 3\\\\\\\implies n = \dfrac{36}3\\\\\\\implies n = 12[/tex]
Evaluate and simplify
Answer:
[tex]\frac{-3}{-26}[/tex]
Step-by-step explanation:
[tex]\frac{-x-8}{x^{2}-4x-21}[/tex] is what you are looking for.
So with x = -5, it would look like this
[tex]\frac{-(-5)-8}{-5^{2}-(-5)4-21}[/tex]
Simple math now.
-(-5) is 5
[tex]-5^{2} = -25[/tex]
-5 * -4 = 20.
So it should be [tex]\frac{5-8}{-25+20-21}[/tex]
5-8=-3
-25+20-21 = -26
So the answer is[tex]\frac{-3}{-26}[/tex]
2 − 4 x 6 Select the expression that represents the following statement: multiply the difference of 5 and 2 by 7, and then add 6.
7 x (5 − 2) + 6
5 + 2 x 7 + 6
7 x (5 + 2) − 6
6 − 2 + (7 x 5)
Hey there!
2 - 4 * 6
= 2 - 24
= -22
Option A.
7 * (5 - 2) + 6
= 7 * 3 + 6
= 21 + 6
= 27
Option A. is incorrect
Option B.
5 + 2 * 7 + 6
= 5 + 14 + 6
= 19 + 6
= 25
Option B. is also incorrect
Option C.
7 * (5 + 2) - 6
= 7 * 7 - 6
= 49 - 6
= 43
Option C. is also incorrect
Option D.
6 - 2 + (7 * 5)
= 6 - 2 + 35
= 4 + 35
= 39
Thus, it seems like NONE of the ABOVE is correct
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Solve for x in the given equation: ax - b = c
An equation is formed of two equal expressions. The value of x is the equation ax-b=c is (c+b)/(a).
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution of x in the given equation can be written as,
[tex]ax - b = c\\\\ax = c+b\\\\x = \dfrac{c+b}{a}[/tex]
Hence, the value of x is the equation ax-b=c is (c+b)/(a).
Learn more about Equation:
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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Step-by-step explanation:
z = 180° - 113° = 67°
sum of angles of quadrilateral shape = 360°
y = 360° - ( 67° + 81° + 106° ) = 106°
a 23 ө C С B 2
help me??
6. Annie has a cube that has a side length of 9 cm. What is the surface area of the cube?
Answer:
486
Step-by-step explanation:
Surface area means the area of each side added upIn a cube, every side is the samethe area of one side = 9 * 9 = 81, since it is a square (width*height) and width and height are the same. in a cube there are 6 sidesso there are 6 sides with area 8181 * 6 = 486What is the factorization of the polynomial graphed below? Assume it has no
constant factor. Write each factor as a polynomial in descending order.
please help me!!
a bag contains 18 marbles. there are 6 red marbles, 6 yellow marbles, and 6 green marbles. a marble is drawn at random and returned. then another marble is drawn at random
which statements are true?
A. the expected probability of drawing a green marble first is the same as the expected probability of drawing a green marble second.
B. there are six possible outcomes
C. the probability of drawing a red marble first is the same as not drawing a red marble second
D. the expected probability of drawing a red marble and then a yellow marble is 1/9
E. there are three possible outcomes from drawing the same color twice
F. the probability of drawing a yellow marble and then a yellow marble is 1/6
Answer:
Step-by-step explanation:
A. False. The probability of drawing a green marble twice is even smaller (It may be true though depending on what the question is asking, if it is asking the chance of drawing a green marble second is the same as the 1st chance, then yes it is True.
B.False
C. False
D.True, 1/3*1/3 (Simplified version of 6/18*6/18) is 1/9
E. False (Although this may be true, again depending on the type of question)
F. False
You mix the letters S,E,M,I,T,R,O,P,I,C,A, and L throughly.Without looking,you draw one letter.Find the probability that you select a vowel.Write your answer in simplest form.
A. 12/5
B. 5/12
C. 1/3
D. 7/12
I need this answer in 5 MINUTES!
Answer:
B. 5/12
Explanation:
Total Letters mixed: {S, E, M, I, T, R, O, P, I, C, A, L} = 12 Letters
There are 5 vowels and they are: 'a', 'e', 'i', ' o', and 'u'
In here the vowels are: E, I, O, I, A = 5 vowels here
So,
probability: number of favourable outcomes/total number of outcomes
probability: 5/12
Una persona camina desde su casa hasta el parque la distancia de 100 M y el tiempo recorrido fue de 10 minutos cuál fue su velocidad
Usando la relación entre la velocidad, la distancia y el tiempo, se encuentra que su velocidad fue de 10 m/min.
¿Cuál es la relación entre la velocidad, la distancia y el tiempo?Velocidad es distancia dividida por el tiempo, o sea:
[tex]v = \frac{d}{t}[/tex]
En este problema, hay que:
La distancia es de d = 100 m.El tiempo es de t = 10 min.Por eso:
v = 100 m/10 min = 10 m/min.
Su velocidad fue de 10 m/min.
Puede-se aprender más a cerca de la relación entre la velocidad, la distancia y el tiempo en https://brainly.com/question/24558377
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The number of bats in a colony is growing exponentially. After 1 year, there were 70 bats. After 4 years, there were 560 bats. If the colony continues to grow at the same rate, how many bats are expected to be in the colony after 7 years?
Answer:
23040 bats
Step-by-step explanation:
Let N(t) be the number of bats at time
We know that exponential function
[tex]y = ab[/tex]
According to question
[tex]N(t) = ab^{2}[/tex]
Where t (in years)
Substitute t=2 and N(2)=180
[tex]180 = ab^{2}[/tex]
Substitute t=5 and N(5)=1440
[tex]1440 = ab^{5}[/tex]
Equation (1) divided by equation (2)
[tex]\frac{180}{1440} = \frac{ab^{2} }{ab^{5}} = \frac{1}{b\frac{5-2}{}}[/tex]
By using the property
Substitute the values of b in equation (1)
Substitute t=9
Hence, after 9 years the expected bats in the colony=23040 bats
Solve the equation. Write your answer as an integer or simplified fraction.
5n−6 n−2 =19
n = _____
Explaination :
The given equation,
[tex] \boxed{\sf{5n \: - 6(n - 2) \: = \: 19}} \: \bigstar[/tex]Lets start solving it..!!
★ Multiplying -6 by (n -2),
[tex] \implies \: \sf{5n \: - 6 \times (n - 2) \: = \: 19} [/tex]
[tex] \implies \: \sf{5n \: - 6n + 12 \: = \: 19} [/tex]
★ Subtracting 5n from 6n,
[tex]\implies \: \sf{ - n + 12 \: = \: 19} [/tex]
★ Transposing 12 from L.H.S. to R.H.S. it would be in negative,
[tex]\implies \: \sf{ - n \: = \: 19 - 12} [/tex]
★ On subtracting 12 from 19 we gets,
[tex] \implies \: \sf{ - n \: = \: 7} [/tex]
★ Now,
[tex] \implies \: \red{\bf{ n \: = \: - 7} }[/tex]
Therefore,
Value of n is -7suppose the integers from 1 to 25 are arranged in consecutive order. How many different pairs of integers may be selected if there are at least four integers between the selected integers?
Evaluate 27+ x when x = 3.
What is the value of the expression
Answer:
30
Step-by-step explanation:
Evaluating an expression when given a value of an unknown means to substitute the unknown value with a certain value given and simplify fully:
27 + (3)
Simplify by doing simple addition :
27 + 3 = 30
Therefore our answer is 30.
Hope this helped and brainliest please.
Replace the variable x with 3 in the expression.
27 + 3
Remove parentheses.
27 + 3
Add 27 and 3.
30
What is the solution to the inequality |2x + 3| < 7? 4 < x < 10 –5 < x < 2 x < 4 or x > 10 x < –5 or x > 2
Answer:
4(−10−9x)
Step-by-step explanation:
Find the probability that a point chosen randomly inside the rectangle is in each given shape. Round to the nearest hundredth.
its a tringale
Step-by-step explanation:
The track is 9.76 m wide all the way around. What is the distance around the outside of the track? Explain or show your reasoning.
Answer:
The distance around the outside of the track is 4183.58m².
Step-by-step explanation:
The area of running track that goes around the field is 9.76m
To proof :
Formula -
(Area of rectangle = length × breadth)
(Area of running track = outside area - inside area)
First case (outside),
length = 73 +2× 9.76
= 92.52m
Breadth = 84.39 m
radius of outside semi circle,
= 46.26m
outside area = area of rectangle + 2 × area of the semi-circle
= 92.52 x 84.39 + 3.14 x 46.26 × 46 × 26
= 7807.76+6719.56
Second case,
radius of the semi-circle,
=36.5m
inside area = area of rectangle + 2x area of the semi-circle
=73x 84.39+ 3.14x 36.5×36.5
= 6160.47 +4183.27
= 10343.74m²
Now,
Area of running track = 14527.32 m²- 10343.74m²
= 4183.58m²
The distance around the outside of track is 4183.58m².
Can someone help me find the volume of this?
Answer:
97.2 m³
Step-by-step explanation:
The volume of a triangular prism is half the volume of a rectangular prism with the same length, width, and height.
V = 1/2LWH
V = 1/2(9 m)(7.2 m)(3 m) = 97.2 m³
_____
Additional comment
The relation we used above comes from the more general formula for the volume of a prism:
V = Bh
where B is the area of the base.
You know a rectangular base will have an area of ...
A = bh
and a triangle with the same base and height will have an area of ...
A = 1/2bh
That is, the base area of a triangle is half that of a rectangle with the same dimensions. When we use this fact in the volume formula, we find the volume of a triangular prism is 1/2 that of a rectangular prism with the same length, width, and height.
8x = 2/3 ; x =
1 1/2 = 2x; x =
5x = 2/7; x =
1/4x = 5; x =
1/5 = 2/3x; x =
We can simply solve the equations by just dividing by the coefficient value of x. For example, we would divide both sides of the first equation by 8 to make the equation into x = 2/24 = 1/12
8x=2/3 --> x=1/12
1.5=2x --> x=0.75
5x=2/7 --> x= 2/35
1/4x=5 --> x=20
1/5=2/3x --> 3/5=2x --> x=3/10
On a long hike, Austin drank 5 pints of water. How much did he drink in quarts?
Answer:
Austin drank 2.5 quarts.
Step-by-step explanation:
There are 2 pints in a quart.
To get from pints to quarts, divide by 2
5/2 = 10
2.5 quarts
mark brainliest please!
If two lines intersect, their intersection is___________
O many points
O one plane
O many planes
O one point
Answer:
one point and one plane
Step-by-step explanation:
Any two line if they intersects... they will intersects in one point..
And to have an intersection they always need to be on one plan..