Answer:
inverse, 16, 4
Step-by-step explanation:
The constant of variation when eight apps are running, battery lasts for 4 hours is 32.
What is Inverse Variation?When a variable varies inversely with the other variable, i.e. on increasing one variable the other decreases is called Inverse Variation.
The battery life varies inversely with the number of apps running
The battery life is denoted by b
and the number of apps is denoted by a
then
[tex]\rm b\; \alpha \; (1/a)\\\\b = k /a[/tex]
here k is the proportionality constant
The battery lasts for 16 hours when the apps opened is 1
The battery lasts for 4 hours when the apps opened is 4
16 = k
The constant of variation when eight apps are running, battery will last for 4 hours
[tex]\rm 4 = k /8[/tex]
k = 32
To know more about Inverse Variation
https://brainly.com/question/11592410
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Every Halloween, trick-or-treaters love going to Gabe's house to see his spooky decorations and get some of his delicious caramel chews. Gabe gives a group of 3 kids a total of 6 caramel chews. He gives a group of 5 kids 10 caramel chews. In this relationship, x represents the number of kids in a group, and y represents the total number of caramel chews Gabe gives to that group.
Answer:
y = 2x
Step-by-step explanation:
Since we are told what to find, we can find the equation of the line that models the statement.
Using the equation of a line
y = MX+c.
m is the slope
c is the intercept
x represents the number of kids in a group (slope)
y represents the total number of caramel chews Gabe gives to that group.
If Gabe gives a group of 3 kids a total of 6 caramel chews and he gives a group of 5 kids 10 caramel chews, we can represent this as coordinate points;
(3,6) and (5,10)
Get the slope
M = 10-6/5-3
M = 4/2
M = 2
Get the intercept by substituting m= 2 any of the points (let's use (3,6)) into the expression y = MX+c to get the value of c;
y = MX+c
6. = 2(3)+c
c = 6-6
c = 0
Substitute m = 2 and c = 0 to get the required equation
y = MX+c
y = 2x+0
Hence the equation that models the statement is y = 2x
can some one help me
Answer:
84 grams and 5 ounces
Step-by-step explanation:
because one ounce equals 28 grams, that means 3 ounces = 3 * 28 = 84
because 28 grams equals 1 ounce, 140 grams = 140 / 28 = 5 ounces
Using the feasible region below, determine which x and y values will maximize the profit, P, in the equation P = 40x + 55y * 1 point
A(0, 500)
B(300, 400)
C(380, 200)
D(400, 0)
E None of the Above
Answer:
B (300, 400)
Step-by-step explanation:
The profit maximization will be when the sum of the products will be greater. The maximum profit will be when x is 300 and y is 400. If we put in the equation :
P = 40x + 55 y
A - When x = 0 , y = 500
P = [40 * 0] + [55 * 500]
P = 27500
B -
When x = 300 , y = 400
P = [40 * 300] + [55 * 400]
P = 34000
C -
When x = 380 , y = 200
P = [40 * 380] + [55 * 200]
P = 26200
D -
When x = 400 , y = 0
P = [40 * 400] + [55 * 400]
P = 16000
Write an equation in slope-intercept form of the line that passes through the points.
Answer:
y = 1/4x + 1
Step-by-step explanation:
I GIVE BRAINIEST “What is the solution of a system of equations if the sum of the
equations is 0 = 2?”
Answer:
At the bottom!!
Step-by-step explanation:
y=2
2=0+x
x=2
Solution of a system of equations:A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. ... The solution to the system will be in the point where the two lines intersect.
Hope this helps!!
Nathan is a cat enthusiast! He currently cares for 4 different cats. He adopts 2
new cats every year. Write and graph an equation to represent how many
cats he will have after x amount of years.
explain the benefits of each of the three forms of quadratic equations, standard form, vertex form, and factored form. What do they reveal about the graph or the quadratic?
Answer:
Summary:
Standard form allow us to quickly find the y-intercept.
Vertex form allow us to quickly locate the vertex.
And factored form allows us to quickly determine the roots/zeros.
Step-by-step explanation:
The three forms of quadratics are the standard form, vertex form, and the factored form. Each of them reveals a specific part about the quadratic.
Standard Form:
The standard form of a quadratic is:
[tex]ax^2+bx+c[/tex]
There are only two details that can be conveyed by a quadratic in standard form immediately: (1) the leading coefficient a, and (2) the y-intercept.
The leading coefficient a will tell us if the parabola curves upwards or downwards.
And the constant c will give us the y-intercept.
Vertex Form:
The vertex form of a quadratic is:
[tex]a(x-h)^2+k[/tex]
There are also two details that can be conveyed by a quadratic in vertex form: (1) the vertex, and (2) the leading coefficient.
The leading coefficient is given by a. Again, this tells us the orientation of the parabola.
And the vertex is given by (h, k).
Hence, in my opinion, vertex form is the best form of a quadratic since it immediately reveals the vertex, the most important aspect of a quadratic.
Factored Form:
The factored form of a quadratic is:
[tex]a(x-p)(x-q)[/tex]
Where p and q are the zeros/roots/solutions of the quadratic.
Again, factored form gives us two details about the quadratic: (1) the leading coefficient, and (2) the zeros.
The zeros tells us when the parabola crosses the x-axis, which can assist in graphing.
Summary:
Therefore, each form of a quadratic equation has its own benefits.
Standard form allow us to find the y-intercept.
Vertex form allow us to quickly locate the vertex.
And factored form allows us to quickly determine the roots/zeros.
Hence, depending on the question, each form can be useful in its own way.
please graph y = -2x - 2
Answer:
(0,-2)
Step-by-step explanation:
Brady, Dana, Elijah, and Gianna took part in the school play. Before the start of the play, they each guessed the number of people who would come to see the play. Brady guessed 292 people, Dana guessed 325 people, Elijah guessed 340 people, and Gianna guessed 371 people. It turned out that Dana's guess was the closest, Elijah's guess was the second closest, and Brady's guess was the farthest from the actual number. What is the actual number of people who came to see the play?
Answer:
332
Step-by-step explanation:
Since Dana had the closest guess with 325 people and Elijah had the second closest guess with 340 people we know that the actual number of guests is close to these values. Since Brady had the farthest guess then that means that the actual number of guests is higher than 325 and lower than 340. Therefore the actual number of guests can only be 332 as it is between Dana and Elijah's guesses but still favoring Dana, and also being farthest from Brady's guess.
The function p(x) = −2000x2 + 18000x − 15000 models the monthly profit P of a smoothie company, where x represents the price per smoothie. Identify the price range that will generate a monthly profit of at least $25,000.
Answer: between $4 and $5; inclusive
A camera has a listed price $627.98 before tax. If the sales tax rate is 7.25%, find the total cost of the camera and it's sales tax included. Round your answer in the nearest cent, as necessary.
Find the volume of the rectangular prism.
9 m
3
m
12
3 m
7 m
Answer:
[tex]189 {m}^{3} [/tex]
Step-by-step explanation:
[tex]9 \times 3 \times 7 \\ = 189 {m}^{3} [/tex]
[tex]3 \times 9 \times 7 \\ = 189 {m}^{3} [/tex]
A radioactive substance decays exponentially. A scientist begins with 150 milligrams of a
radioactive substance. After 40 hours, 75 mg of the substance remains. How many milligrams will
remain after 60 hours?
Answer:
We are given
Scientist begins with 150 milligrams of a radioactive substance
so,
we can use formula
we can plug Po=150
After 29 hours, 75 mg of the substance remains
so, at t=29 , P=75
we can plug it
now, we can solve for k
now, we can take ln on both sides
now, we can plug it back
and we get
we can plug t=33
we get
..............Answer
Step-by-step explanation:
The number or expression inside a radical symbol
Answer:
radicand
Step-by-step explanation:
The corporate team-building event will cost $8 if it has 4 attendees. If there are 9 attendees, how much will the corporate team-building event cost? Solve using unit rates.
Answer:
18$ for 9 attendees
Step-by-step explanation:
What is the product of (7/8) (-16) (-7) (-1/14) ?
O A. -7
O B. -9/16
O C. -1/7
O D 23/12
Answer:
-7
Step-by-step explanation:
Answer:
hello guys ^_^ its -7 and if it is wrong don't be afraid to tell me
~your friendly austrailian~
9 x 7 = ( x 7) – (1 x 7)
= 70-
=
Answer:
63
Step-by-step explanation:
9x7=(10x7)-1x(7)
=70-7
=63
HELP ASAP I NEED HELP AND I'M DESPERATE.
Answer:
Blank 1. -2x+4
Blank 2. x+2
Step-by-step explanation:
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The 2nd one or either the last one, I suggest the last one hope this helps!!
AYUDA PLIS 1) Pablo compro un sobre de jugo que les costo $28,85, un alfajor por $85,50 y un helado. Si pago con $250 ¿Cuánto costo el helado? 2) Santiago compro una bolsa de alimentos para perros a $349,50, otra para gatos a $108,25 y pieritas sanitarias a $ 29,75. a- ¿Cuánto dinero gasto? b- Si pago con $600 ¿Cuánto le dieron de vuelto?
Answer:
1) El helado costó $135,65.
2) a) Gastó en total $487,5. b) Le dieron $112,5 de vuleto.
Step-by-step explanation:
1) Podemos encontrar el costo del helado como sigue:
[tex] T = J + A + H [/tex]
[tex] H = T - J - A = 250 - 28,85 - 85,50 = 135,65 [/tex]
Por lo tanto, el helado costó $135,65.
2) a) Para saber cuanto dinero gastó debemos sumar todos los precios:
[tex] T = B_{p} + B_{g} + P = 349,50 + 108,25 + 29,75 = 487,5 [/tex]
Entonces, gastó en total $487,5.
b) Si pagó con $600, su vuelto fue:
[tex] V = 600 - T = 600 - 487,5 = 112,5 [/tex]
Le dieron $112,5 de vuleto.
Espero que te sea de utilidad!
Given the equation 4x + 2y = 9, which equation below would cause an inconsistent-independent system? (2 points)
Answer: 2x+y=-6
Step-by-step explanation:
Help ASAP PLEASEE ( FREE BRAINLIST:)...)
Answer:
10
Step-by-step explanation:
place when expense and income intersect
Answer:10
Step-by-step explanation:
Can someone please explain ASA triangle congruence? I will give brainliest.
Answer:
This is easier to explain with pictures, but I'll try here. The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
(For #8 -9) Choose ONE of the application problems below and solve it using a system of 2 equations.
Remember - word problem, word answer.
8. The high school FFA is selling fruit. Together, Kay and Ayan sell a total of 25 boxes. Kay sells 13 less than Ayan.
How many boxes does each girl sell?
Define your variables:
X =
Y =
boxes.
boxes, and Ayan sold
Kay sold
Answer:
Kay sold 6 boxes and Ayan sold 19 boxes
Step-by-step explanation:
Let x be the number of boxes sold by Kay and
Let y be the number of boxes sold by Ayan
Then according to given statements, the equations will be:
[tex]x+y = 25\ \ \ Eqn\ 1\\x = y-13\ \ \ Eqn\ 2[/tex]
Putting x = y-13 in equation 1
[tex]y-13+y = 25\\2y-13=25\\2y=25+13\\2y = 38\\\frac{2y}{2} = \frac{38}{2}\\y = 19[/tex]
Putting y = 19 in equation 2
[tex]x = 19-13 = 6[/tex]
So we get x=6 and y=19
Hence,
Kay sold 6 boxes and Ayan sold 19 boxes
What is the answer???
Answer:
Step-by-step explanation:
An altitude is a line segment that meets the side opposite the vertex at right angles. The line also has to go through the vertex.
The only line that does both those things is DE.
A taxi service charges a flat rate for the first
3
miles of service. For any additional mileage, the taxi service charges an additional rate per mile,
x
. The expression
10
+
2.50
(
x
−
3
)
represents the scenario.
Which statement is true?
Answer:
The taxi charges $10 as the flat rate for the first 3 miles and $2.50 for each additional mile.
Step-by-step explanation:
List three different examples of rational numbers
Answer:
5, 1.75, .001, and -0.1
Step-by-step explanation:
Number As a Fraction Rational?
5 5/1 Yes
1.75 7/4 Yes
.001 1/1000 Yes
−0.1 −1/10 Yes
Hope this Helps (✿◡‿◡)
P.S I got this off the internet.
The length of the base of an isosceles triangle is x. The length of a leg is 4x -3. The perimeter of the triangle is 66. Find x
Answer:
x = 8
Step-by-step explanation:
Since the triangle is isosceles then the 2 legs are congruent.
Given the perimeter is 66, then sum the 3 sides and equate to 66, that is
x + 4x - 3 + 4x - 3 = 66 , that is
9x - 6 = 66 ( add 6 to both sides )
9x = 72 ( divide both sides by 9 )
x = 8
Which of the following statements is not supported by the Venn diagram below?
A.) 13 Students know how to play the violin.
B.) More students know how to play the piano than the violin.
C.) 18 students know how to play the piano.
D.) One person knows how to play both the piano and the violin.
Answer:
A
Step-by-step explanation:
its supposed to be 14 know how to play the violin. Your answer is A
Answer:
C would be the answer
Step-by-step explanation:
f(x)=-3x • G(x) = x +7
Answer:
-3x^2 - 21x
Step-by-step explanation:
This question is representing multiplying two functions :
We are finding f(x) * g(x)
We know that f(x) is -3x and g(x) is x + 7, therefore :
(-3x)(x + 7)
Follow FOIL :
First :
(-3x)(x)
-3x^2
Outer :
(-3x)(7)
-21x
Therefore the answer is :
-3x^2 - 21x