Answer:
k = 2; y = 2·x·zx = 10; k = 2y = 192; y = 4·x·zz = 2; k = 3x = 48/9; k = 3/4Step-by-step explanation:
When we say "y varies jointly as x and z", we mean that y is proportional to x with some constant of proportionality, and also y is proportional to z with some constant of proportionality. The joint variation means that each "constant" of proportionality will depend on the other variable:
y = k·x·z
This can be solved for the different variables:
k = y/(x·z)
x = y/(k·z)
z = y/(k·x)
__
a)k = y/(x·z) = 30/(3·5) = 2; the equation is y = 2·x·z
b)k = 2 (read from the equation); x = y/(k·z) = 80/(2·4) = 10
c)y = k·x·z = 4·6·8 = 192; the equation is y = 4·x·z
d)k = 3 (read from the equation); z = y/(k·x) = 60/(3·10) = 2
e)k = 3/4 (read from the equation); x = y/(k·z) = 48/(3/4·12) = 48/9
The equation for the axis of symmetry is
Answer:
I believe it is x=−b2a
Step-by-step explanation:
Looked it up
Name each polynomial by degree and number of terms.
¶ Cσncєptѕ tσ вє uѕєd hєrє :
✦ Degree of a polynomial íѕ thє híghєѕt pσwєr σf α vαríαвlє ín thє gívєn pσlчnσmíαl.
✦ numвєr σf tєrmѕ = díѕtínguíѕhєd tєrmѕ ín α pσlчnσmíαl hαvíng díffєrєnt єхpσnєntíαl pσwєr, αnd ѕєpєrαtєd вч mαthєmαtícαl σpєrαtσrѕ ( + αnd - )
➳ nσtє :
#1. Combine the like terms before performing any operation.
#2. íf thєrє íѕ α multíplícαtíσn σr dívíѕíσn σpєrαtσr ín thє pσlчnσmíαl, wє hαvє tσ fínd thє prσduct fírѕt tσ pєrfσrm αnч σthєr σpєrαtíσn.
✿ lєt'ѕ prσcєєd ~[tex]\sf \#1 \: \: \: \{-9 {x}^{4} - 3x \}[/tex]
dєgrєє : 4 [ frσm -9х⁴ ]numвєr σf tєrmѕ : 2[tex]\rule{20cm}{1 mm}[/tex]
[tex]\sf \#2 \: \: \: \{-2v \}[/tex]
dєgrєє : 1 [ frσm -2v ]numвєr σf tєrmѕ : 1[tex]\rule{20cm}{1 mm}[/tex]
[tex] \sf \#3 \: \: \: \{9 {n}^{3} - 6n + 10\}[/tex]
dєgrєє : 3 [ frσm 9n³ ]numвєr σf tєrmѕ : 3[tex]\rule{20cm}{1 mm}[/tex]
[tex] \sf \#4 \: \: \: \{3 + 4 p {}^{4} + ( 4{p}^{4} - 5)\}[/tex]
[ cσmвínє thє líkє tєrmѕ ]
[tex] \sf \#4\: \: \: \{ 8p {}^{4} - 2\}[/tex]
dєgrєє : 4 [ frσm 8p⁴ ]numвєr σf tєrmѕ : 2[tex]\rule{20cm}{1 mm}[/tex]
[tex]\sf \#5 \: \: \: \{(8v+6v³) - ( v - 3v {}^{3 }{+ 5 {v}^{2} } )\}[/tex]
[ cσmвínє thє líkє tєrmѕ ]
[tex]\sf \#5 \: \: \: \{9v³ - 5 {v }^{2} + 7v \}[/tex]
dєgrєє : 3 [ frσm 9v³ ]numвєr σf tєrmѕ : 3[tex]\rule{20cm}{1 mm}[/tex]
[tex] \sf \#6 \: \: \: \{(3y + 4)(2y - 6) \}[/tex]
[ pєrfσrm thє multíplícαtíσn ]
[tex] \sf \#6 \: \: \: \{ 6 {y}^{2} - 10y - 24\}[/tex]
dєgrєє : 2 [ frσm 6y² ]numвєr σf tєrmѕ : 3[tex]\rule{20cm}{1 mm}[/tex]
Keep learning ~[tex]\qquad \qquad\huge \dag \: \normalsize \sf \boxed{ \underline{ǤríʍɌεαƿєr}} \: \huge \dag[/tex]
WILL GIVE BRAINLIST .
which function is equivalent to y =5 (x+3 ^2) -8 ?
A) y = 5x^2 +30x +37
B) y=5x^2 + 6x - 2
C) y=5x^2 +30x +5
D) y= 5x^2 + 1
Answer: Below
Step-by-step explanation:
So we can start off by solving this equation.
(x + 3)² = x² + 6x + 9
5(x² + 6x + 9) = 5x² + 30x + 45
5x² + 30x + 45 - 8 = 5x² + 30x + 37
Going off of this, we can already see that A is our answer.
Please help me, I’m failing this class! The question is find the missing angles in each of the figures
Answer:
3. m<x= 110 m<y=40
4. m<q=35 m<r=35
Step-by-step explanation:
All angles of a triangle must add up to 180 degrees
Write and solve a proportion to answer the question.
What number is 45% of 60?
Answer:
27
Step-by-step explanation:
0.45 divide by 60 and you get 27
Answer:
27
Step-by-step explanation:
x/60 = 45/100
if you write it out, cross multiply then solve for x
If f(x) = 2(18 – 9x) + 4x, what is the value of f(7)?
Answer:
-62
Step-by-step explanation:
f(x)=2(18-9x)+4x
f(7)=2(18-9(7))+4(7)
f(7)=2(18-63)+28
f(7)=2(-45)+28
f(7)=-90+28
f(7)=-62
Answer:
f(7) = -62
Step-by-step explanation:
Basically, what the question is asking us to do is to plug in 7 every time we see an x.
f(x) = 2(18 - 9x) + 4x
f(7) = 2(18 - 9(7)) + 4(7)
f(7) = 2(18-63) + 28
f(7) = 2(-45) + 28
f(7) = -90 + 28
f(7) = -62
The surface area of a cylinder is 1 m^2. What would its radius and hight be?
Answer:
Please type full question. It is not full.
Solve the quadratic equation below by Completing the Square STEP-BY-STEP:
x^2+6x=0
Help me out here please
Answer:
X=21
Y=3
Z=21
BD=42
Step-by-step explanation:
X=21 (diagonals of a rectangle bisect each other)
Y=3. 21=7y
÷7
Y=3
Z=21 (diagonals of a rectangle bisect each other)
BD=X+Z
=21+21
=42
Given that AB is a line segment and the angle a = 20°, work out the value of x . The diagram is not drawn to scale.
Answer:
32°
Step-by-step explanation:
line segment= 180 - 20 (we know that) 160. divide that by 5 (cause there are 5 x's, gets you 32°
Using the following equation: 5 KNO2 + 2 KMnO4 + 3 H2SO4 ------> 5 KNO3 + 2 MnSO4 + K2SO4 + 3 H2O How many moles and how many grams of KMnO4 are needed to carry out this reaction on 11. 4 grams of KNO2?
From the question, we are to determine the number of moles and mass of KMnO₄ needed
From the given balanced chemical equation
5KNO₂ + 2KMnO₄ + 3H₂SO₄ → 5KNO₃ + 2MnSO₄ + K₂SO₄ + 3H₂O
This means 5 moles of KNO₂ is required to react completely with 2 moles of KMnO₄
First, we will determine determine the number of moles of KNO₂ present
From the given information,
Mass of KNO₂ = 11.4 g
Using the formula,
[tex]Number\ of\ moles = \frac{Mass}{Molar\ mass}[/tex]
Molar mass of KNO₂ = 85.1 g/mol
Therefore,
Number of moles of KNO₂ = [tex]\frac{11.4}{85.1}[/tex]
Number of moles of KNO₂ = 0.13396 mole
Now,
If 5 moles of KNO₂ is required to react completely with 2 moles of KMnO₄
Then,
0.13396 mole of KNO₂ will react completely with [tex]\frac{0.13396 \times 2}{5}[/tex] mole of KMnO₄
[tex]\frac{0.13396 \times 2}{5}[/tex] = 0.053584 mole ≅ 0.0536 mole
Hence, the number of moles of KMnO₄ needed is 0.0536 mole
For the mass of KMnO₄ needed,
Using the formula,
Mass = Number of moles × Molar mass
Molar mass of KMnO₄ = 158.034 g/mol
Therefore,
Mass of KMnO₄ needed = 0.053584 × 158.034
Mass of KMnO₄ needed = 8.468 g
Mass of KMnO₄ needed ≅ 8.5 g
Hence, the mass of KMnO₄ needed to carry out the reaction is 8.5 g
Learn more on Stoichiometry here: https://brainly.com/question/6061451
Please help with this question I’m stuck
Answer:
53 degrees
Step-by-step explanation:
because its at a right angle and measure 1 is 37 so 90-37 would equal 53
Step-by-step explanation:
because it is on a corner the hole corner = 90
1 + 2 = corner so
1+ 2 = 90
1 is 37
37 + 2 = 90
rearrange
90 - 37 = 2
so 2 = ???
A manager at a shopping mall counts 244 males and n females as they enter the mall. The manager realizes that 25% of all males and 25% of all females are children. She writes the expression 0.25n + 61 to represent the number of children who enter the mall. Is the manager correct?
Answer:
Step-by-step explanation:
The manager is not correct in her calculation.
Step-by-step explanation:
There are 244 males and n females who entered the mall as the manager at the shopping mall counts.
If 25% of all males are children, then the number of male children are .
Again, the 25% of all female are children, then the number of female chilfren are .
Therefore, the total number of children will be (60 + 0.25n).
But the manager gives the number of children to be 0.25n + 61 who entered the mall.
So, the manager is not correct in that calculation. (Answer)
What is something that you multiply and get -48 but when you add you get 13
Answer:
16 and -3
16 times -3 equals 48
16 + (-3) is equal to 16 - 3 which is 13
Can the side lengths of 3, 10, and 13 form a triangle?
Answer:
No.
Step-by-step explanation:
Assuming 13 is the base. 3 can't be a slope, and 10 can't be a slope because the sids aren't long enough.
Answer: No
Step-by-step explanation:
This cannot form a triangle because the Triangle Inequality states that the sum of any two sides of a triangle must be greater than the other side.
This set of side lengths doesn't satisfy the Triangle Inequality, since 3 + 10 = 13, and 13 is not greater than 13.
In short, this doesn't form a triangle, instead it just forms a straight line.
If you want more info lookup Triangle Inequality on the internet.
hope this helps
Find the distance between ( -2,3) and (4,5)
Distance:-
[tex]\\ \sf\longmapsto \sqrt{(4+2)^2+(5-3)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{6^2+2^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{40}[/tex]
[tex]\\ \sf\longmapsto 2\sqrt{10}units[/tex]
you make 12 equal payments you pay a total of $1308. how much is each payment? step by step
Answer:
1308/12=109
Step-by-step explanation:
each payment is 109 dollars
i just divided 1308 by 12 and got 109
Answer:
$109
Step-by-step explanation:
12 payments = $1308
1 payment =?
= 1308÷12 = 109
PLEASE HELP!! I have such a hard time in math and have been working all day
Answer:
14
Step-by-step explanation:
The sides of an isosceles right triangle are 1-1- \sqrt{2}. Since the legs are 7\sqrt{2}, we multiply it by \sqrt{2} to get 14.
Which line is a line of symmetry for the figure below?
A.
Line A
B.
Line C
C.
Line D
D.
Line B
Answer:
A.
Line A
Please mark my answer the brainliestThe ratio to boys to girls is 3:5 there are 40 children in the class how many children are boys
Answer:
15 boys and 25 girls in the class
A car travels 480 miles in 12 hours. What is the rate in miles per hour? In hours per mile
Answer:
40 miles per hour
Step-by-step explanation:
480 divided by 12 equals 40, your answer
Please give brainliest thanks
The rate in miles per hour -- > miles/hour
--> 480miles / 12 hours = 40 miles/hour
The rate in hours per miles --> hours/ mile
--> 12 hours/ 480 miles = (1/40) hours/mile
Hope it helps!
HELP! WHAT DID I DO WRONG?!
PLEASE PROVIDE THE CORRECT SOLUTION ALONG WITH STEP-BY STEP EXPLANATION!
Answer:
1256
Step-by-step explanation:
You added the diameter for r and not the radius
3.14(20)^2
3.14(400)
1256
How do I describe the end behavior, determine if it's an odd or even degree, and the real number of zeros? Please help me.
Answer:
1. Even Degree
2. 6 zeros
Step-by-step explanation:
Determine if it’s an odd or even degree:—
- The graph is shown approach positive infinity when both sides of x-values, negative and positive, both approach their respective infinity sides.
To put it simply, see when both negative x-values and positive x-values approach their negative or positive infinity, the y-values will always be positive, even if negative x-values approach negative infinity.
For a polynomial function to be an even degree, it must satisfy the following:—
[tex]\displaystyle \large{ \lim_{x \to \pm \infty} f(x) = \infty}[/tex]
As an odd degree, either negative or positive x-values will approach positive infinity or negative infinity, depending on the function itself.
From the graph, we can say that the function is an even degree.
__________________________________________________________
Summary I
Even-Odd Degree
Even Degree, when both sides of x-value approach their respective infinity, y-value will always approach positive infinity.
Odd Degree, one side of y-value will approach positive infinity and another will approach negative infinity.
__________________________________________________________
Determine numbers of zeros:—
- We can determine numbers of zeros by examining x-axis and the graph. How many times does the graph intersect or pass through x-axis? Count and you should get 6 intercepts.
Therefore, there are 6 real solutions/zeros for this function/equation.
__________________________________________________________
Summary II
Determine zeros
To determine or check how many solutions or zeros do the graph/function/equation has, you can use the graph method. Simply count how many times does the graph pass through x-axis and x-intercepts are zeros.
__________________________________________________________
If you have any doubts regarding my answer or explanation, do not hesitate to ask in comment!
how would you solve it's for algebra 2B I'm just a little stuck thanks so much for your help hope it's not a waste of time
Answer: [tex]\frac{2x^2+s^2}{x(x+s)}[/tex]
This is the fraction of 2x^2+s^2 all over x(x+s)
==============================================
Explanation:
Currently the denominators are not the same, so we cannot subtract the fractions just yet.
We need to get the denominators equal to the LCD (lowest common denominator).
In this case, the LCD is x(x+s). Often the LCD is the product of the denominators, but not always.
To get the first fraction to have the LCD, we multiply top and bottom by x.
[tex]\frac{3x}{x+s} = \frac{x*3x}{x(x+s)} = \frac{3x^2}{x(x+s)}[/tex]
To get the second fraction to have the LCD, we multiply top and bottom by x+s
[tex]\frac{x-s}{x} = \frac{(x+s)(x-s)}{x(x+s)} = \frac{x^2-s^2}{x(x+s)}[/tex]
I used the difference of squares rule to go from (x+s)(x-s) to x^2-s^2.
-----------------------------------------
At this point, we have x(x+s) in both denominators and we can subtract
[tex]\frac{3x}{x+s} - \frac{x-s}{x}\\\\\frac{3x^2}{x(x+s)} - \frac{x^2-s^2}{x(x+s)}\\\\\frac{3x^2-(x^2-s^2)}{x(x+s)}\\\\\frac{3x^2-x^2+s^2}{x(x+s)}\\\\\frac{2x^2+s^2}{x(x+s)}\\\\[/tex]
Optionally, you can distribute the x through in the denominator, but I'll leave it factored.
PLEASE HELP IMMEDIATELY IT WOULD MEAN THE WORLD
23 mm
14 mm
Answer:
14+19=33 33 divided by 23=?
Step-by-step explanation:
triangle with the given side is a right triangle;14mm, 19mm, 23mm ... Use the Pythagorean theorem that only works for right triangles.
Which graph represents a function?
Answer:
the last one (bottom right)
Step-by-step explanation:
all the others have at least one x value with several associated y values.
but for a function, for all values of x there can be only one value of y.
The perimeter of a notebook is 40 inches. The area is 100 square inches. What are the dimensions of the notebook?
Two sides of a triangle measure 15 inches and 18 inches, respectively. Which of these is NOT a possible length for the third side of the triangle? A)4 inches B)18 inches C)24 inches D)36 inches
Answer:
i don't know I don't have ideas
which of the follwoing are solutions to the inequality -7x+14>-3x-6
work out the mean of the numbers 19 , 7 , 11 , 8 , 15 , 15
Answer:
12.5
Step-by-step explanation:
add all numbers and divide by 6