y is inversely proportional to x: yx = k, such k is constant
Did you know?
Inversely proportional is also known as inverse variation.Given:
x = 3y = 8To determine the constant of variation, substitute the first two given values to the equation of variation.
yx = k(8)(3) = k24 = kTo determine the value of y, substitute the second given value of x including the constant of variation.
x = 8, y = ?yx = 248y = 24y = 24/8y = 3Answer:
The value of y is 3.Wxndy~~
Cole’s age is 3 years less than his sister Tina’s age, t. If Cole is 18, which equation represents this situation, and how old is Tina?
A.
The equation that represents this situation is t − 3 = 18. Tina is 21.
B.
The equation that represents this situation is t + 3 = 18. Tina is 15.
C.
The equation that represents this situation is 3 − t = 18. Tina is 21.
D.
The equation that represents this situation is -3 − t = 18. Tina is 15.
The equation which represents the situation and how old is Tina is "The equation that represents this situation is t − 3 = 18. Tina is 21".
How to write and solve equation?Tina's age = tCole's age = t - 3Cole's age = 18Equate Cole's age
t - 3 = 18
add 3 to both sidest = 18 + 3
t = 21
Therefore, the equation which represents the situation and how old is Tina is "The equation that represents this situation is t − 3 = 18. Tina is 21".
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H E L P M E P L I Z
In the following exercises, classify each equation as a conditional equation, an identity, or a contradiction and then state the solution.
23z+19=3(5z-9)+8z+46
15y+32=2(10y-7)-5y+46
The 2 equations are classified as Identities because both sides remain the same for all values of z.
How to Classify Equations?1) We are given the equation;
23z + 19 = 3(5z - 9) + 8z + 46
Let us try z = 0
23(0) + 19 = 3(5(0) - 9) + 8(0) + 46
19 = -27 + 46
19 = 19
Let us try z = 5;
23(5) + 19 = 3(5(5) - 9) + 8(5) + 46
134 = 48 + 40 + 46
134 = 134
Thus, this is an identity as both sides remaining the same for all values of z.
2) We are given the equation;
15y + 32 = 2(10y - 7) - 5y + 46
At y = 0, we have;
15(0) + 32 = 2(10(0) - 7) - 5(0) + 46
32 = -14 + 46
32 = 32
Let us try y = 2;
15(2) + 32 = 2(10(2) - 7) - 5(2) + 46
62 = 26 - 10 + 46
62 = 62
This is an identity as both sides remaining the same for all values of z.
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What is the area of the parallelogram?
A parallelogram with a base of 9 centimeters and a height of 4 centimeters.
18 cm2
28 cm2
36 cm2
45 cm2
Answer:
Step 1: area is base × height
Step 2: 36cm2
Step-by-step explanation:
Base × height is 9 and 4 and 9×4 = 36cm2
Hope this helps :)
Select the correct answer.
Which of the following represents a function?
A.
A value negative 7 in x corresponds to 45 in y. A value negative 4 in x corresponds to 52 in y. A value negative 1 corresponds to negative 2 in y. A value 2 in x corresponds to 45 in y.
B.
{(-7,-9), (-4,-9), (5,15), (7,19)}
C.
x 5 -5 10 5 -10
y 13 -7 23 17 -17
D.
A graph plots the points (negative 3, 1), (negative 3, negative 1), (negative 1, negative 3), (1, 5), (3, negative 3), and (4, negative 5) on the x y coordinate plane.
Answer:
A and B
Step-by-step explanation:
In both of these relations, each input corresponds to one and only output.
please help me ASAP
Answer:
c; 6
Step-by-step explanation:
to find the rate of change from x = 2 to x = 4 you use the (y2 - y1) / (x2 - x1) formula
so
(21 - 9) / (4 - 2)
12 / 2
6
the average rate of change is 6
31 32 33 34
Which polynomial function could be represented by the graph below?
16
14
42
10
8-6
6 8 X
O f(x) = x³ + x² - 6x
O f(x)=x²-x² - 6x
4
1:00:00+
bocchette
ANLAT
K
C
The polynomial function that could be represented by the graph is f(x) = x³ + x² - 6x
How to determine the polynomial?The attached graph represents the missing part of the question
From the attached graph, the x-intercepts of the graph are:
x1 = -3
x2 = 0
x3 = 2
The equation of the graph is then calculated as:
f(x) = (x - x1)(x - x2)(x - x3)
This gives
f(x) = (x + 3)(x - 0)(x - 2)
Expand
f(x) = x(x² + 3x - 2x - 6)
Evaluate
f(x) = x(x² + x - 6)
Expand
f(x) = x³ + x² - 6x
Hence, the polynomial function that could be represented by the graph is f(x) = x³ + x² - 6x
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the area of the triangle below is 1/4 square meters. what is the length of the base. express your answer in simplest form
Answer:
4/5
Step-by-step explanation:
Given,
Area of the triangle = 1/4 square meters
From the diagram,
Height = 2/5 m
To find : Length of the base
Formula : -
A = bh/2
Here,
A denotes Area
b denotes Base
h denotes Height
A = 1/4
h = 2/5
A = bh/2
Cross multiply,
A * 2 = bh
2A = bh
2 * (1/4) = b * (2/5)
(1 * 2)/4 = (b * 2)/5
2/4 = 2b/5
1/2 = 2b/5
Cross multiply,
1 * 5 = 2 * 2b
5 = 4b
b = 4/5 meters
Hence,
The length of the base is 4/5 meters.
The length of the base of the triangle is 5/4 meters.
What is Triangle?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
Sum of the interior angles of a triangle is 180 degrees.
The formula to find the area of the triangle is,
Area = [tex]\frac{1}{2}[/tex] × base × height
Given,
Area of the given triangle = 1/4 square meters
Height = 2/5 meters
Substituting in to the formula,
[tex]\frac{1}{2}[/tex] × base × 2/5 = 1/4
1/5 × base = 1/4
Base = 5/4 meters
Hence the base of the triangle is 5/4 meters.
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do these ratios form a proportion?
Answer:
No, because both of them will never be able to match; become equivalent. You would have to multiply 2 different numbers to make them match, meaning they would not be proportional. For a comparison to be proportional, the ratio you are trying to simplify to must be achieved by multiplying 2 numbers from the previous ratio by one LCD.
[tex]\frac{3\cdot 4}{7 \cdot 3} = \frac{12}{21}[/tex]
They are able to make 12/21, but that does not mean they are proportional.
( 4 , 1 2/3 ) ( 2 , − 2/3 ) find the slop
Answer:
7/6
Step-by-step explanation:
To find the slope you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
so doing that i get 7/6
Hope This Helped
Use the graph to find the value of f(x) when x = 9 for the function f (x) =
1
3
x − 3.
Step-by-step explanation:
this looks totally like
f(x) = 1/3 x - 3
to me.
because
f(0) = -3
f(3) = -2
f(6) = -1
so, f(9) = 1/3 × 9 - 3 = 3 - 3 = 0
f(9) = 0
you did not list that as answer option, but that is the correct answer.
What compass heading represents 20° north of west? PLS HELP
Answer:
West North West
Step-by-step explanation:
West North West would be the bottom half of North West after you split the compass heading into 2 again.
Answer:
north of west = 290 degrees
north of east = 70
Step-by-step explanation:
What number can be used to complete the volume statement for the cone?
a cone with height 4 meters and diameter 3 meters.
volume =
Answer: 9.42 cu. meters
Step-by-step explanation:
V= 1/3 x TT x r^2 x height
TT (pi) = 3.14
r^2 is 1/2 diameter = 1.5
height = 4
V = 1/3 x 3.14 x 1.5^2 x 4
V= 1/3 x 3.14 x 2.25 x 4
V = 9.42 cu. meters
Can someone please help me with this?
Answer:
Answer Option C
Step-by-step explanation:
They make a big plus sign, PLUS=PERPENDICULAR
Simplify the expression. Write your answer as a power.
The simplified expression is
please help with all of question 5
Volume of a right cone with base radius r cm and height h cm :
V = 1/3 π r² h cm³
Surface area :
A = (π r² + π r √(h² + r²)) cm²
Volume of a sphere with radius r cm :
V = 4/3 π r³ cm³
Surface area :
A = 4 π r² cm²
Volume of a cuboid with dimensions r cm × r cm × h cm :
V = r² h cm³
Surface area :
A = 2 r² + 4 r h
a. If the cone and sphere have the same volume, then
1/3 π r² h = 4/3 π r³ ⇒ h = 4r
b. If the area of the cuboid is 98 cm², then
2 r² + 4 r h = 98 ⇒ r (r + 2 h) = 49
c. Since h = 4r, substituting this into the equation from (b) gives
r (r + 8 r) = 9 r² = 49 ⇒ r² = 49/9 ⇒ r = 7/3
d. With r = 7/3, we have
h = 4 × 7/3 = 28/3
and so the volume of the cuboid is
V = (7/3 cm)² (28/3 cm) = 1372/27 cm³
5. x = 5,- ²/3, √2
help pls
Answer: 2. 5. f(x)=x²-5; vertically stretched by a factor of 4, followed by a translation 3 units to the right. 4(x²-5). 4((x-3)²-5) g(x)= 4(x-3)²-20.
Step-by-step explanation:
Which expression is equivalent to (x Superscript one-half Baseline y Superscript negative one-fourth Baseline z) Superscript negative 2?
StartFraction x Superscript one-half baseline Over y z squared EndFraction
StartFraction x Superscript one-half baseline Over y Superscript one-fourth Baseline z squared EndFraction
StartFraction y Superscript one-half Baseline Over x z squared EndFraction
StartFraction x z squared Over y Superscript one-half EndFraction
Submitted
By using exponent properties, we will get the simplified expression:
[tex]x^{-1}*y^{1/2}*z^2[/tex]
How to simplify the given expression?
Here we have the expression:
[tex](x^{1/2}*y^{-1/4}*z)^{-2}[/tex]
Remember the exponent properties:
[tex](a^n)^m = a^{n*m}[/tex]
And:
[tex](a*b)^n = (a^n)*(b^n)[/tex]
So using these two properties, we can rewrite:
[tex](x^{1/2})^{-2}*(y^{-1/4})^{-2}*(z)^{-2}\\\\(x^{-2*1/2})*(y^{-2*-1/4})*(z^{-2}})\\\\x^{-1}*y^{1/2}*z^2[/tex]
So we conclude that the completely simplified expression is:
[tex]x^{-1}*y^{1/2}*z^2[/tex]
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Answer:
C
Step-by-step explanation:
Distribute the -2 to the exponents of x, y, and z.
x: 1/2 * -2/1 = -2/2 = -1
y: -1/4 * -2/1 = 2/4 = 1/2
z: 1/1 * -2/1 = -2/1 = -2
Now to get a negative out of the exponents, you simply move them on the other side of the equation (If it is on top move, it to the bottom and vice versa.)
So, once you move all of the exponents you get C.
What is the missing probability from the line?
Give your answer as a decimal.
The missing probability from the line in the diagram attached is 0.5.
What is a missing probability from the number line?The number line is a graduated straight line system showing the value of each real number from (-∞, +∞).
The probability of a number line in the diagram below is halfway (middle) between the impossible event and a certain event.
Thus,
Probability from the line = 1/2Probability from the line = 0.5 (decimal)Learn more about missing probability here:
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Which number is rational?
Ο Α. π
Ο Β. εξ
Ο c. 0.777...
Ο D. 0.36458121...
Step-by-step explanation:
0.777... is rational since it can be put in fraction form which is 7/9
note: if something can be put as an integer/integer its rational
100- 1/2 x=92
HELP ME OUT PEPS
Answer:
Hi! The answer is x=16
Starting with blue balls, in each of sequential rounds, we remove a random ball and replace it with a new red ball. for example, after the first round we have 9 blue balls and one red ball, after the second round, with probability we have 8 blue balls and 2 red balls, and with probability we have 9 blue balls and one red ball, etc. what is the probability that the ball we remove at the 11th round is blue
The probability that the ball we remove at the 11th round is blue will be 0.6.
How to calculate probability?From the information given, we remove a random ball and replace it with a new red ball. for example, after the first round we have 9 blue balls and one red ball.
Since we have 9 blue balls and remove one every round. Let's assume that the number of blue and red balls will be 6 and 4 respectively in the 11 the round
Therefore, the probability that the ball we remove at the 11th round is blue will be:
= 6/(6 + 4)
= 6/10
= 0.6
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please help bro
i needa get my grade up and i don’t understand any of this … if you can explain how u got the answer that would be helpful but if not, then it’s fine i guess.
Answer:
7. 630
8. I'm not sure on this one-
9. 1331
Step-by-step explanation:
So for a rectangular prism the formula is l x w x h (length times width times height) Which would be 14 * 5 * 9 which equals 630
For the triangular prism, I forgot the formula
For the cube, you are given 1 number, 11, since it's a cube all lengths are the same so you do 11 to the power of 3 = 1331
En 2018 la empresa SAC-OLC fabrico 24000 ollas, si cada dia se fabricaron 80 ollas ¿cuantos dias no se trabajaron en la empresa?
Usando proporciones, hay que no se trabajaron en 65 dias durante el año de 2018 en la empresa SAC-OLC.
¿Qué es una proporción?Una proporción es una fracción de la cantidad total, e los problemas pueden ser resolvidos con una regla de três.
En este problema, hay que se fabricaran 24000 ollas en el año de 2018, con una taja de 80 ollas al dia. Así, el número de dias trabajados es dado por:
n = 24000/80 = 300.
El año de 2018 tuvo 365 dias, así, el número de dias no trajados fue de:
365 - 300 = 65.
Puede-se aprender mas a cerca de proporciones es brainly.com/question/26950887
what is 29/5 is equal to
Answer:
5 4/5 or 5.8
Step-by-step explanation:
convert 29/5 to 5 4/5
or
divide 29/5 is 5.8
What is the slope of the line that passes through the points (-6, 8) and (-9, 7)? Write your answer in simplest form.
Answer:
m=1/3
equation y=1/3x+10
Step-by-step explanation:
Find the rise and run.
1. -6--9=run=3
2. 8-7=rise=1
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the slope of the line that passes through (-6, 8) and (-9, 7).
[tex]\triangle~\fbox{\bf{KEY:}}[/tex] (formula for Slope)
[tex]\longmapsto\bf{\cfrac{y2-y1}{x2-x1}}[/tex]
y2 & y1 = the y-coordinates of the two points
x2 & x1 = the x-coordinates of the two points
[tex]\ddot\bigstar[/tex] Remember this...
[tex]\fbox{y2\;and\;y1\;are\;y-coordinates\;of\;the\;two\;points,\;and\;x2\;and\;x1\;are\;x-coordinates}}[/tex]
So we substitute the values and obtain:
[tex]\bf{\cfrac{7-8}{-9-(-6)}[/tex]
Simplifying:
[tex]\bf{\cfrac{-1}{-9+6}}[/tex]
Simplifying more:
[tex]\bf{\cfrac{-1}{-3}}[/tex]
Divide the top and bottom by -1:
[tex]\bf{\cfrac{1}{3}}[/tex]
There's the slope.
Hope it helps you out! :D
Ask in comments if any queries arise.
~Just a smiley person helping fellow students
how to find the 3 sides
The angle of triangle are ∠A = 86, ∠B = 55, ∠C = 39. The side of the triangles are a = 0.99, b = 0.81, c = 0.62.
What is a law of sine?Law of sines is a formula relating the length of the sides of a triangle to the angles of the triangle.
[tex]\dfrac{sin A}{a} = \dfrac{sin B}{b} = \dfrac{sin C}{c}[/tex]
We have given angles of the triangle as
∠A = 86
∠B = 55
∠C = 39
So,
[tex]\dfrac{sin 86}{a} = \dfrac{sin 55}{b} = \dfrac{sin 39}{c}[/tex]
Now,
a = 0.99
b = 0.81
c = 0.62
The side of the triangles are a = 0.99, b = 0.81, c = 0.62.
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solve 5x^2=180 algebraically
Answer:
x = ± 6
Step-by-step explanation:
Hello!
Solve[tex]5x^2 = 180[/tex][tex]x^2 = 180/5[/tex][tex]x^2 = 36[/tex][tex]\sqrt{x^2} = \sqrt{36}[/tex][tex]x = \pm 6[/tex]The value of x is 6 or -6.
Hi...
Given:
[tex]\texttt{5x}[/tex]² [tex]\texttt{= 180}[/tex]
Solution:[tex]\texttt{5x}[/tex]² [tex]\texttt{= 180}[/tex]
Explanation:Divide both sides by 5
[tex]\hookrightarrow{\mathtt{\frac{5x^2}{5}} = {\mathtt{\frac{180}{5}}[/tex]
Simplify:
[tex]\hookrightarrow{\mathtt{x^2 = 36}[/tex]
[tex]\hookrightarrow{\mathtt{For \: x^2 \: = f(a) \: the \: solutions \: are \: x = \sqrt{f(a)}}[/tex] , [tex]\mathtt{- \sqrt{f(a)}}[/tex]
[tex]\hookrightarrow{\mathtt{x = \sqrt{36}}[/tex] , [tex]\mathtt{x = -\sqrt{36}}[/tex]
Factor the number: 36 = 6²
[tex]\mathtt{= \sqrt{6^2}}[/tex]
Apply radical rule: [tex]\mathtt{\sqrt[n]{a^n} \: = a}[/tex]
[tex]\mathtt{\sqrt{6^2} = 6} \\\mathtt{= 6}[/tex]
- [tex]\sqrt{36} = -6[/tex]
[tex]\boxed{\fbox{\bf{x = 6 , x = -6}}}[/tex]
Hope It Helps You...
Which regular polygon has a rotation of 240 degree to carry the polygon onto itself?
The regular polygon that has a rotation of 240 degrees to carry the polygon onto itself is the equilateral triangle.
The missing part of the questionOptions
Equilateral triangle
Octagon
Rectangle
Pentagon
How to determine the polygon?A polygon that can carry itself onto itself after a rotation of 240 degrees must obey the following rule:
Angle of rotation = 360/Sides
Next, we test the options:
Option (a) equilateral triangle
Angle of rotation = 360/3
Evaluate
Angle of rotation = 120
Next, we list the multiples of 120
120, 240, 360.....
See that 120 is a factor of 240.
This means that the equilateral triangle would be rotated onto itself when rotated by 240 degrees.
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what is the volume of a rectangular prism 8 inches long, 3 inches wide,and 5 inches high?
120 cubic inches
220 cubic inches
16 cubic inches
or 158 cubic inches
Answer:
V=whl=3·5·8=120
Step-by-step explanation:
Just use l x w x h and there you go.
-10 + 2t = -20 16t + 17t
t=2/61
1 Rearrange terms
2
Multiply the numbers
3
Combine like terms
4
Add
10
to both sides
5
Simplify
6
Add
303t
to both sides
7
Simplify
8
Divide both sides by the same factor
9
Simplify