if y varies inversely as x and y=6 when x=8 find y when x=7
Answer:
y = 5 1/4
Step-by-step explanation:
For direct or inverse variation relation
relation between two variable and y can be expresses in form of
y = kx where k is constant of proportionality .
Only thing happens in inverse relation is that when x increases then y decreases and vice versa. That is care by constant of proportionality
__________________________________
Thus, let the inverse relation be
y = kx
given
when y = 6 then x = 8
we will plug this value in y = kx
6 = k*8
=>k = 6/8 = 3/4
Thus,
relation is
y = 3/4 x
we have to find y when x = 7 ,
lets put x = 7 in y = 3/4 x
y = 3/4 *7 = 21/4 = 5 1/4
Thus, when x = 7 then y = 5 1/4
Detergent A contains 48 fluid ounces and cleans 16 loads of dishes. Detergent B contains 76 fluid ounces and cleans 38 loads of dishes. Which comparison of the detergents is accurate? Detergent A uses exactly 1 fluid ounce per load more than detergent B. Detergent A uses exactly 1 fluid ounce per load less than detergent B. Detergent A uses less than 1 fluid ounce per load more than detergent B. Detergent A uses less than 1 fluid ounce per load less than detergent B.
Answer: Detergent A uses exactly 1 fluid ounce per load more than detergent B
Step-by-step explanation:
Given the following :
DETERGENT A:
48 fluid ounces
Cleans 16 loads of dishes
DETERGENT B:
76 fluid ounces
Cleans 38 loads of dishes
DETERGENT A:
Fluid ounces per load :
48 / 16 = 3 (3 fluid ounce per load)
DETERGENT B:
Fluid ounce per load :
76 / 38 = 2 ( 2 fluid ounce per load)
3 - 2 = 1 fluid ounce per load.
Answer:
Detergent A uses exactly 1 fluid ounce per load more than detergent B
Step-by-step explanation:
need this ASAP. pls answer this question
Answer:
this is ur answer so memories
A farmer plans to install solar collection panels to provide winter heating for the livestock. The
most efficient panel angle for winter heating in the farm's region is 60° relative to ground level. If
an individual panel is 67 inches (in) long and installed on the ground according to these
instructions, what is the height, in in, of the upper edge above the ground?
Answer:
58 inches
Step-by-step explanation:
This is a right angled triangle. We would use Trigonometric function of Sine to solve the question
θ = 60°
From the above question, the following values were obtained:
Hypotenuse = 67 inches long
The height in the upper edge above the ground = Opposite side
Sin θ = Opposite/ Hypotenuse
Sin 60° = Opposite/67 inches
Cross Multiply = Sin 60° × 67 inches
= 58.023702054 inches
≈ 58 inches
Therefore, the height in inches of the upper edge is 58 inches
CaC(s) + H2O(l) > Ca(OH)2(s): triangle H = -65.2kJ
Answer:
Answer: 1) 155.65 kJ; 2) -59.0 kJ/mol; 3) a)
Step-by-step explanation:
Answer on Question # 55533 - Chemistry - General chemistry
Question:
1. Given the data. N2(g) + O2(g) = 2 NO(g) ΔH = +180.7 kJ; 2 NO(g) + O2(g) = 2 NO2(g) ΔH = −113.1
kJ; 2 N2O(g) = 2 N2(g) + O2(g) ΔH = − 163.2 kJ; Use Hess’s Law to calculate ΔH for the reaction
N2O(g) + NO2(g) = 3 NO(g); Show your work.
2. Calcium carbide (CaC2) reacts with water to form acetylene (C2H2) and Ca(OH)2. From the
following enthalpy of reaction data and data in Appendix C in textbook, calculate ΔHf° for CaC2(s):
CaC2(s) + 2 H2O(l) Ca(OH)2(s) + C2H2 (g) ΔH = −127.2kJ
3. Using average bond enthalpies, predict which of the following reactions will be most
exothermic: a) C(g) + 2 F2(g) CF4(g) b) CO(g) +3 F2(g) CF4(g) + OF2(g) c) CO2(g) + 4 F2(g) CF4(g) +
2 OF2(g)
Solution
1)
N2(g) + O2(g) = 2 NO(g) ΔH1 = +180.7 kJ x(+2)
2 NO(g) + O2(g) = 2 NO2(g) ΔH2 = −113.1 kJ x(-1)
2 N2O(g) = 2 N2(g) + O2(g) ΔH3 = − 163.2 kJ x(+1)
2N2O(g) + 2NO2(g) = 6 NO(g) ΔH = (ΔH3 + 2ΔH1 – ΔH2)
N2O(g) + NO2(g) = 3 NO(g) ΔH = (ΔH3 + 2ΔH1 – ΔH2)/2 = 155.65 kJ
2)
CaC2(s) + 2 H2O(l) = Ca(OH)2(s) + C2H2 (g) ΔHrxn = −127.2kJ
ΔHrxn = ΔHf°(C2H2) + ΔHf°(Ca(OH)2) - 2ΔHf°(H2O) - ΔHf°(CaC2);
ΔHf°(CaC2) = ΔHf°(C2H2) + ΔHf°(Ca(OH)2) - 2ΔHf°(H2O) – ΔHrxn
ΔHf°(C2H2) = 227.4 kJ/mol
ΔHf°(Ca(OH)2) = -985.2 kJ/mol
ΔHf°(H2O) = -285.8 kJ/mol
ΔHf°(CaC2) =227.4 - 985.2 + 2x285.8 + 127.2 = -59.0 kJ/mol
3)
a) C(g) + 2 F2(g) = CF4(g)
b) CO(g) +3 F2(g) = CF4(g) + OF2(g)
c) CO2(g) + 4 F2(g) = CF4(g) + 2 OF2(g)
C-F bond enthalpy 440 kJ/mol
C=O bond enthalpy in carbon dioxide 805 kJ/mol
C=O bond enthalpy in carbon monoxide 1077 kJ/mol
O-F bond enthalpy 184 kJ/mol
F-F bond enthalpy 153 kJ/mol
a) ΔHrxn = 2x153 - 4x440 = -1454 kJ – the most exothermic
b) ΔHrxn = 1077 + 3x152 - 2x184 - 4x440 = -595 kJ
c) ΔHrxn =805x2 + 4x153 - 4x440 – 2x2x184 = -274 kJ
PLEASE HELP ME I WILL MAKE YOU THE FAMOUS
Which description matches the graph of the inequality y<-1/2x+5 A.a shaded region above a dashed boundary line B.a shaded region below a dashed boundary line C.a shaded region below a solid boundary line D.a shaded region above a solid boundary line
Answer:
B
Step-by-step explanation:
dashed line above the shaded area, shaded area below dashed boundary line
1. Analyze the following pattern: 1, 2, 5, 10, 17,
Answer:
n² - 2n + 2
Step-by-step explanation:
The difference in the pattern are odd numbers.
2 - 1 = 1
5 - 2 = 3
10 - 5 = 5
17 - 10 = 7
So there is a -2n in the nth term.
If we subtract 1 on each term.
0, 1, 4, 9, 16
We get whole squares.
So there is a n² in the nth term.
(1)² - 2(1)+ c = 1
1 - 2 + c = 1
-1 + c = 1
c = 2
The nth term is:
n²-2n+2
Please help me with this question (Will get brainlist)
Answer:
169=169
Step-by-step explanation:
The pythagoras theorem states that if
[tex] {a}^{2} + {b}^{2} = {c }^{2} [/tex]
Then the triangle is a right triangle
So
[tex]{5}^{2} + {12}^{2} = {13}^{2} [/tex]
[tex]25 + 144 = 169[/tex]
[tex]169 = 169[/tex]
Therefore A is a right triangle
Answer:
Step-by-step explanation:
The pythagorian theorem :now the longest edge is 13 cm so : 13²must be equal to 5²+12²
5²+12²= 169[tex]\sqrt{169}[/tex]= 13so this triangle must be right angled
PLEASE HELP ME! can someone explain this to me pls?
Graph the system of equations on the coordinate plane and determine the solution to
the system
y=-1/2x+5
y=2x-10
Answer:
(6,2)
Step-by-step explanation:
y=-1/2x+5
y=2x-10
-1/2 x+5 =2x-10 to find the solution y=y ( point of intersection of two lines)
-1/2 x-2x = -10-5 solve for x
-5/2 x=-15
x=-30/-5=6
y=2x- 10 substitute x in the equation to get y
y=2(6)-10
y=2
(2,3)
Dont put the other answer, it’s wrong I
did the math.
If h is a function and -7 is an element in its domain, then which of the following statements correctly describes the expression h(-7)?
Answer:
The first choice: The expression h(-7) represents the output of h corresponding to the input of -7.
Step-by-step explanation:
In function f(5), f(5) means the value of the function at x = 5.
Answer:
The first choice: The expression h(-7) represents the output of h corresponding to the input of -7.
Answer:
The expression h(-7) represents the output of h corresponding to the input of -7.
Step-by-step explanation:
...
Robert want to buy a sports cap that is on sale for 25% off if the original price is 35$ and the sales tax is 6% how much will robert need to pay for the cap
Answer: $27.825
Step-by-step explanation:
From the question, we are informed that Robert want to buy a sports cap that is on sale for 25% off and the original price is 35$. This means the price of the sports car will be:
= Original price - Discount
= $35 - (25% × $35)
= $35 - (0.25 × $35)
= $35 - $8.75
= $26.25
We are further told that there is a sales tax of 6%. The amount that Robert will need to pay for the cap will be:
= $26.25 + (6% × $26.25)
= $26.25 + (0.06 × $26.25)
= $26.25 + $1.575
= $27.825
Answer:
27.83
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.
Step-by-step explanation:
The formula of a volume of a cone:
[tex]V=\dfrac{1}{3}\pi r^2H[/tex]
r - radius
H - height
We have
[tex]H=4m;\ 2r=3m\to r=1.5m[/tex]
We have everything we need to calculate the volume of the cone.
[tex]V=\dfrac{1}{3}\pi(1.5)^2(4)[/tex]
If we want to get the approximate volume, we must use the approximation of the number π.
[tex]\pi\approx3.14;\ \pi\approx\dfrac{22}{7}[/tex]
[tex]V=\dfrac{1}{3}\pi(2.25)(4)=\dfrac{9\pi}{3}=3\pi\approx(3)(3.14)=9.42\ (m^3)[/tex]
Answer:
The person above me is wrong, the answer is 3
Step-by-step explanation:
I got it right on the test
Deb works 19.5 hours at a car wash every week. She makes $12.80 per hour. Each week, she puts 1 4 of her earnings into her savings account. How much money does Deb put into her savings account each week?
Answer:
She will save 62.40
Step-by-step explanation:
First find the total amount she makes
hours times hourly rate
19.5 * 12.80
249.60
She saves 1/4 of this, so multiply by 1/4
1/4 * 249.60
62.40
She will save 62.40
Answer:
62.40
Step-by-step explanation:
Solve: 3/x-4 >0 A.x -4 C.x>4 D.x<-4
Answer:
C. x>4
Step-by-step explanation:
3/(x-4) > 0
3>0, so
x-4 >0
x > 4
what is -5c plus 2 less than or equal to 27. I need this for very difficult homework if anyone can help :)
Answer:
c ≥ -5
Step-by-step explanation:
-5c +2 ≤ 27
Subtract 2 from each side
-5c +2-2 ≤ 27-2
-5c ≤25
Divide by -5, remembering to flip the inequality
-5c/-5 ≥25/-5
c ≥ -5
Answer: [tex]x\geq 5[/tex]
Step-by-step explanation:
[tex]-5x+2\leq 27\\Subtract\\-5x\leq 25\\Divide\\x\geq 5[/tex]
It's important to remember that when you divide both sides of an inequality by a negative number to flip the sign.
Hope it helps <3
SIMPLIFY AND PUT IN ORDER FOR BRAINLIEST y= 46x -87x^3 +23x^2 -31x^6 +12 -23x^2
Answer:
y = -31x^6 - 87^3 +46x +12
Step-by-step explanation:
Place the numbers with the highest degree first (-31 x ^ 6) and go in order until you reach the number with the lowest degree (12). When you do that, you get:
y = - 31x^6 - 87x^3 + 23x^2 - 23x^2 + 46x +12
As you can see, the numbers based on the amount of their exponent were placed in order, no matter what the coefficient is. But, there are two numbers with ^2, so we have to cancel them out. In order to do that, you have to add/ subtract the two numbers with the same exponent.
23x^2 - 23x^2 = 0
Since the answer is 0, we canceled both of the numbers out, so the final polynomial in its standard form is:
y = -31x^6 - 87^3 +46x +12
Hope this helps :)
Answer:
y = -31x^6-87^3+46x+12
Step-by-step explanation:
put the exponents in order and cancel out the 23x^2s.
The sum of the interior angles of a polygon is 9x². If x is 3 greater than the number of side of the polygon, how many sides does the polygon have?
Answer:
17
Step-by-step explanation:
This is a very neat problem -- for teachers.
Let the number of sides = y
The sum of the interior angles is 180*(y - 2)
We are told that this sum equals 9x^2
So far the equation is
(y - 2)*180 = 9x^2 Divide both sides by 9
(y - 2)*20 = x^2 Remove the brackets on the left.
20*y - 40 = x^2
We need another fact. We get that from the statement that x is three greater than the number of sides (y). Therefore y = x - 3
20*(x - 3) - 40 = x^2
20x - 60 - 40 = x^2 Combine like terms on the left
20x - 100 = x^2 Bring the left side to the right side.
0 = x^2 - 20x + 100 You have a quadratic.
a = 1
b = - 20
c = 100
When you solve the quadratic equation, you get
x = 20
Therefore the number of sides is 17.
Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, and Georgia are invited to a dinner party. They arrive in a random order and all arrive at different times. What is the probability that Xeres arrives first AND Regina arrives last?
Answer:
1/7
Step-by-step explanation:
There are seven people in all on person will arrive at a different time than others. Every single one of them arrives at different times so it's 1/7
identify the variable expression that is not a polynomial.
A. y+23
B. 3\sqrt(x)-2
C. x^3
D. 13
Answer:
B. 3\sqrt(x)-2
Step-by-step explanation:
A polynomial cannot have a variable in the denominator
A constant is a polynomial
3\sqrt(x)-2 and this cannot be simplified to get rid of the variable in the denominator so it is not a polynomial
Find all pairs $(x,y)$ of real numbers such that $x + y = 10$ and $x^2 + y^2 = 56$. For example, to enter the solutions $(2,4)$ and $(-3,9)$, you would enter "(2,4),(-3,9)" (without the quotation marks).
Answer:
(3.26795, 6.73205)
(6.73205, 3.26795)
Step-by-step explanation:
Easiest and fastest way to get your solutions is to graph the systems of equations and analyze the graph for where they intersect.
Factor 2x4 - 20x2 - 78.
Answer:
2x⁴ - 20x² - 78
To factor the expression look for the LCM of the numbers
LCM of the numbers is 2
Factorize that one out
That's
2( x⁴ - 10x² - 39)
Hope this helps
Answer:
2(x² + 3)(x² - 13)
Step-by-step explanation:
2x⁴ - 20x² - 78
Factor out 2.
2(x⁴ - 10x² - 39)
Find 2 numbers that multiply to get -39 and add to get -10. Those numbers are -13 and 3.
2(x⁴ - 13x² + 3x² - 39)
2(x² + 3)(x² - 13)
plzz help on Question B nd C plzz
Answer:
see explanation
Step-by-step explanation:
(b)
The roots of f(x) = 0 are the values of x on the x- axis at the points where the graph crosses, that is
x = - 1 and x = 3
(c)
f(0) is the point on the y- axis where the graph crosses, that is 3, thus
f(0) = 3
An on-demand movie company charges $2.95 per movie plus a monthly fee of $39.95. Which expression represents the yearly
cost for x movie rentals?
2.95x+39.95
O 39.95x+2.95
O 2.95x-39.95(12)
2.95x+39.95(12)
first answer gets brainliest if you hurry make the answer simple and short no explanation required
Answer:
2.95x+39.95(12).
Step-by-step explanation:
Hope this helps!
Answer:
D
Step-by-step explanation:
hope this helps
Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (2)marks (ii) Find the coordinates of the midpoint of the points A and B (iii) Find the distance between points A and B. (i). A line “t” is parallel to 3y = 6x + 9. Find the slope of this line “t”. (ii) Another line “r” is perpendicular to the line 3y = 6x + 9. Find the gradient of the line “r”.
Answer :
1 (i). [tex]slope \: = - \frac{1}{6} [/tex](ii). [tex]midpoints \: = (1 \: \: \frac{17}{2} )[/tex](iii) . [tex]distance \: = \sqrt{37} [/tex]2(i). [tex]slope \: = 2[/tex][tex]gradient \: = - \frac{1}{2} [/tex]I Hope it helps :)
There are 10 sweets in a bag.
4 are red, 2 are green, 3 are yellow and 1 is purple.
A sweet is chosen at random from the bag.
Here is a probability scale:
А в с
a) Which letter shows the probability of choosing a yellow sweet?
b) Which letter shows the probability of choosing a sweet that is not orange?
Answer:
a) 0.3.
b) 1.
Step-by-step explanation:
Note: The scale of probability is not given properly. So, the probability of following events are given below:
It is given that,
Total number of sweets in a bag = 10
Red sweets = 4
Green sweets = 2
Yellow sweets = 3
Purple sweet = 1
a)
We need to find the probability of choosing a yellow sweet.
[tex]P(Y)=\dfrac{\text{Yellow sweets}}{\text{Total number of sweets in a bag}}[/tex]
[tex]P(Y)=\dfrac{3}{10}[/tex]
[tex]P(Y)=0.3[/tex]
Therefore, the probability of choosing a yellow sweet is 0.3.
b)
We need to find the probability of choosing a sweet that is not orange.
[tex]P(O')=1-\dfrac{\text{Orange sweets}}{\text{Total number of sweets in a bag}}[/tex]
[tex]P(O')=1-\dfrac{0}{10}[/tex]
[tex]P(O')=1[/tex]
Therefore, the probability of choosing a sweet that is not orange is 1.
Probabilities are used to determine the chances of events.
The probability of choosing a yellow sweet is 0.3The probability of choosing a sweet that is not orange is 0The probability scale is not given; so, I will give a general explanation.
The given parameters are:
[tex]Red = 4[/tex]
[tex]Green = 2[/tex]
[tex]Yellow= 3[/tex]
[tex]Purple = 1[/tex]
[tex]Total = 10[/tex]
(a) The probability of choosing a yellow sweet
This is calculated using:
[tex]P(Yellow) = \frac{Yellow}{Total}[/tex]
So, we have:
[tex]P(Yellow) = \frac{3}{10}[/tex]
Divide 3 by 10
[tex]P(Yellow) =0.3[/tex]
Hence, the probability of choosing a yellow sweet is 0.3
(b) The probability of choosing a sweet that is not orange
This is calculated using:
[tex]P(Not\ Orange) = 1 - \frac{Orange}{Total}[/tex]
So, we have:
[tex]P(Not\ Orange) = 1 - \frac{0}{10}[/tex]
Divide 0 by 10
[tex]P(Not\ Orange) = 1 - 0[/tex]
[tex]P(Not\ Orange) = 1[/tex]
Hence, the probability of choosing a sweet that is not orange is 0
Read more about probabilities at:
https://brainly.com/question/251701
Mario writes the equation (x+y ) 2 = z 2 +4( 1 2 xy) (x+y)2=z2+4(12xy) to begin a proof of the Pythagorean theorem. Use the drop-down menus to explain why this is a true equation.
Answer:
For the drop down menu:
i) x + y
ii) z²
iii) ½ xy
The complete question related to this found on brainly (ID:16485977) is stated below:
Mario writes the equation (x+y)² = z² +4( 1/2 xy) to begin a proof of the Pythagorean theorem. Use the drop-down menus to explain why this is a true equation.
_____finds the area of the outer square by squaring its side length.
_____finds the area of the outer square by adding the area of the inner square and the four triangles.
These expressions are equal because they both give the areas of outer space.
Find attached the diagram of the question.
Step-by-step explanation:
Pythagoras theorem is a formula that shows the relationship between the sides of a right angled triangle.
Pythagoras theorem
Hypotenuse ² = opposite ² + adjacent ²
From the diagram of the question.
Hypotenuse = z
Opposite = y
Adjacent = x
z² = x² + y²
Area of outer square = area of inner square + 4(area of triangles)
area of inner square = length² = (x+y)²
Expanding area of the outer square:
(x+y)² = (x+y)(x+y) = x²+xy+xy+y²
(x+y)² = x²+y²+2xy
= z² + 2xy
Area of inner square = length² = z²
Area of triangle = ½ base × height
= ½ × x × y = ½ xy
Area of outer square = area of inner square + 4(area of triangles)
(x + y)² = z² + 4(½xy )
Therefore, it is a true equation.
( x + y )² finds the area of the outer square by squaring its side length.
z² + 4( 1/2xy ) finds the area of the outer square by adding the area of the inner square and the four triangles.
These expressions are equal because they both give the areas of outer space.
So for the drop down menu:
i) x + y
ii) z²
iii) ½ xy
CAN SOMEONE TUTOR ME PLSSSSS ????
Answer:
[tex] \frac{105}{4} [/tex]
please see the attached picture for full solution..
hope it helps...
Good luck on your assignment..
3x square + 4 x minus 15 is equals to zero
Answer:
x = 5/3 or x = -3
Step-by-step explanation:
3x² + 4x - 15 = 0
Factor left side.
(3x - 5)(x + 3) = 0
Set factors equal to 0.
3x - 5 = 0
3x = 5
x = 5/3
x + 3 = 0
x = -3
Answer:
x = -3 OR x = 5/3
Step-by-step explanation:
=> [tex]3x^2+4x-15 = 0[/tex]
Using mid term break formula
=> [tex]3x^2+9x-5x-15 = 0[/tex]
=> 3x(x+3)-5(x+3) = 0
Taking x-3 common
=> (x+3)(3x-5) = 0
Either
x+3 = 0 OR 3x-5 = 0
x = -3 OR x = 5/3
To create a giant gemstone, sara first made two identical square pyramids that each had a base area of 100 square inches. Then she glued the pyramids' bases together to form the gemstone. The surface area of the gemstone is 520 square inches. What is the value of x? Explain.
Answer:
8 inches.
Step-by-step explanation:
From the statement we have that they first made two identical square pyramids, each with a base area of 100 square inches.
Ab = s ^ 2 = 100
Therefore each side would be:
s = (100) ^ (1/2)
s = 10
So, side of the square base = 10 inches
Then they tell us that they glued the bases of the pyramids together to form the precious stone. The surface area of the gemstone is 520 square inches, so for a single pyramid it would be:
Ap = 520/2 = 260
For an area of the square pyramid we have the following equation:
Ap = 2 * x * s + s ^ 2
Where x is the height of each triangular surface and s is the side of the square base
Replacing we have:
260 = 2 * x * 10 + 10 ^ 2
20 * x + 100 = 260
20 * x = 160
x = 160/20
x = 8
Therefore, the value of x is 8 inches.