Answer:
1) The initial value of the function is the y-value when the x-value is zero. The number of hours is the x-value and the percentage of battery life left is the y-value. When the number of hours, x, is 0, the percentage of remaining battery life, y, is 100 percent. So, the initial value of the function is 100. The initial value is positive because the percentage of remaining battery life cannot be negative.
2) The rate of change is the rate at which the y-value changes with respect to a change in the x-value. When off the charger, the phone loses its battery life at a constant rate of 5 percent per hour. So, the function’s rate of change is -5. The rate of change is negative because the rate indicates that the percentage of remaining battery life decreases as the number of hours increases.
Step-by-step explanation: I just did the tutorial right now i hope this helps
Answer:
part a = The number of hours since Vicky took the phone off the charger is the independent quantity, so the variable x should represent it.
part b = The percentage of battery life left in hours is the dependent quantity, so the variable y should represent it.
part c = The initial value of the function is the y-value when the x-value is zero. The number of hours is the x-value and the percentage of battery life left is the y-value. When the number of hours, x, is 0, the percentage of remaining battery life, y, is 100 percent. So, the initial value of the function is 100. The initial value is positive because the percentage of remaining battery life cannot be negative.
part d = The rate of change is the rate at which the y-value changes with respect to a change in the x-value. When off the charger, the phone loses its battery life at a constant rate of 5 percent per hour. So, the function’s rate of change is -5. The rate of change is negative because the rate indicates that the percentage of remaining battery life decreases as the number of hours increases.
part e = The rate of change of the function, m, is -5, and the initial value of the function, b, is 100. Substitute the values of m and b in the equation y = mx + b. The equation of the function that models the phone’s remaining battery life in terms of the number of hours from the time Vicky took it off the charger is y = -5x + 100.
Step-by-step explanation:
All edmentum answers :)
find the measure of one exterior angle for the following regular polygon
Answer:
this is a 60 60 60 triangle, so one exterior angle is 120 degrees.
Step-by-step explanation:
hope it helps!
The number of students in an school building that have the flu after t days is given by the function
()=800/1+49^−0.2
a) What was the initial number of students infected (think about what time is initially).
b) When will the number of students infected be equal to 200?
Round all of your answers to the NEAREST whole number and be sure to label your answers.
Step-by-step explanation:
[tex]p(0) = \frac{800}{1 + 49 {e}^{ - 0.2 \times 0} } = \frac{800}{1 + 49} = \frac{800}{50} = 16[/tex]
[tex]200 = \frac{800}{1 + 49 {e}^{ - 0.2t} } \\ 200(1 + 49 {e}^{ - 0.2t} ) = 800 \\ 200 + 9800 {e}^{ - 0.2t} = 800 \\ 9800 {e}^{ - 0.2t} = 600 \\ {e}^{ - 0.2t} = \frac{3}{49} \\ ln( {e}^{ - 0.2t} ) = ln( \frac{3}{49} ) \\ - 0.2t = - 2.793 \\ t = 13.96 = 14[/tex]
which of the following is equal to square root ^3 square root 2
Answer:
[tex]2^{\frac{1}{6} }[/tex]
Step-by-step explanation:
(2^1/3)^1/2 = 2^(1/3 x 1/2) =2^1/6
please help me is for my homework
Answer:
13/50
Step-by-step explanation:
Answer:
26/100
Method:
Fractions are much like percents, as they are both out of 100. The 26% is 26%/100% (26/100)
AN
X =
= [?]
30°
X
B
C
angles are not drawn to scale
Answer:
x=60°
Does the answer help you?
Answer:
x=60°
Step-by-step explanation:
Hi there!
We are given that <ABD and <DBC are complementary angles.
If two angles are complementary, it means that they add up to 90 degrees.
In that case, <ABD + <DBC=90°.
We're also given that m<ABD=30° and m<DBC=x.
Substituting those values into the equation will give us:
30°+x=90°.
Subtract 30° from both sides.
x=60°.
Hope this helps!
plot -½ on the number line
Answer:
this would be towards the front and the very end
What is the value of this expression when g = -3.5?
8 − |2g − 5|
A. 20
B. 10
C. 6
D. -4
g = -3,5
8 - |2g - 5| = 8 - |2 · (-3,5) - 5| =
= 8 - |-7 - 5| = 8 - |-12| = 8 - 12 = -4
2x - y - 4 = 0
3x + y - 9 = 0
What is the solution set of the given system?
A. {(6, 5)}
B. {(5, 6)}
C. {(13/5, 6/5)}
D. {(6/5, 13/5)}
Step-by-step explanation:
+ Both equations
You will get : 5x=13 ; x=13/5
and put x to the first equation
2*13/5-y=4
y=6/5
(13/5;6/5)
Answer is C
Please help explanation if possible
Answer:
Jordans' age = 31 ; Anna's age = 19
Step-by-step explanation:
Given the 2 equations relating their ages
J + A = 50 → (1)
J = 12 + A → (2)
Substitute J = 12 + A into (1)
12 + A + A = 50
12 + 2A = 50 ( subtract 12 from both sides )
2A = 38 ( divide both sides by 2 )
A = 19
Substitute A = 19 into (2)
J = 12 + 19 = 31
Then Jordans' age = 31 ; Anna's age = 19
Answer:
Step-by-step explanation:
J = 12 + A equation 1
J + A = 50 equation 2
Solving equation 2
J + A = 50
A = 50 - J equation 3
Putting value of A in equation 1
J = 12 + A
J = 12 + 50 - J
Bringing like terms on one side
J + J = 12 + 50
2J = 62
J = 62/2 = 31
Putting value of J in equation 3
A = 50 - J
A = 50 - 31 = 19
Checking answer by putting values in equation 2
J + A = 50
31 + 19 = 50
50 = 50
So the age of Jordan is 31 and Anna is 19
PLz, Help fast! 100 points
A line is drawn on a scatter plot, as shown below:
A graph shows values till 10 on both x- and y axis with increments of 1.Dots are shown at 0.5, 7.5 and 1.8, 6.5 and 3, 6 and 4.4, 5 and 4.8, 4 and 5.9, 3.2 and 6.6, 2 and 7.5, 2.5 and 8, 1 and 8.8, 0. A straight line joins the ordered pairs 0, 7.9 and 10, 0.
Which statement best describes the line?
Answer:
It can be the line of best fit because it closely fits the data points.
Step-by-step explanation:
The line is near the data points and goes down from left to right just like the data points. It is just above or just below the data points.
Answer:
guy above is right
Step-by-step explanation:
Find the area of triangle ABC.
[PLEASE HELP ME!!]
A.12.16units
B.18.52units
C.31.27units
D.15.14units
Answer:
D
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] × product of 2 sides × sine ( angle between them ) , that is
A = 0.5 × 5.04 × 6.82 × sin61.73° ≈ 15.14 ( to 2 dec. places )
I don't understand this one
Answer:
9/8 = n
Step-by-step explanation:
9 = 8n
Divide each side by 8
9/8 = 8n/8
9/8 = n
prime factorization of 44
231 give the serious
answer
Answer:
11,4021
Step-by-step explanation:
the steps are simply ,
44231
11^4021
Answer:
The Prime Factorization is:
11 x 4021
In Exponential Form:
111 x 40211
CSV Format:
11, 4021
All Factors of 44231:
1, 11, 4021, 44231
hope it helps
please mark Brainliest
Select the correct answer.
Which inequality represents all the solutions of 10(3x + 2) > 7(2x − 4)?
A.
x > -4
B.
x < -4
C.
x > -3
D.
x < -3
Answer:
C
Step-by-step explanation:
Given
10(3x + 2) > 7(2x - 4) ← distribute parenthesis on both sides
30x + 20 > 14x - 28 ( subtract 14x from both sides )
16x + 20 > - 28 ( subtract 20 from both sides )
16x > - 48 ( divide both sides by 16 )
x > - 3 → C
help me with math pls;(
Answer:
as it is cbe the volume of cube is l*l*l
Step-by-step explanation:
the answercis 5*5*5= 125
3. Which property of similarity can be used to prove triangles STR and VWU are similar?
Answer:
Not enough information
Step-by-step explanation:
Similar triangles must have congruent corresponding angles and proportional corresponding sides.
Answer:
not enough information
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs.
Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the tenth
place.
HELP PLEASE!!!!!!
Answer:
Ans ; 1) 7.8 , 2) 3.3×10³ , 3) 2.1 ×10‐³ , 4) 3.7
I hope I helped you^_^
ASAP!! can i get some help on this question, and a step by step explanation please, it would help
a lot thanks.
Answer:
[tex]{ \tt{ {3x}^{2}(5 {x}^{3} ) = 15 {x}^{5} }}[/tex]
Step-by-step explanation:
[tex]{ \sf{3 {x}^{2}(5 {x}^{3} )}} \\ = { \sf{ {x}^{5} (3 \times 5)}} \\ = { \sf{15 {x}^{5} }}[/tex]
find the area of parallelogram and round to the nearest tenth.
Answer:
A=b×h
A=13.8×6
A=82.8 in²
A≈83in²
Step-by-step explanation:
Simplify this please
Answer:
4Step-by-step explanation:
[tex] \sqrt[3]{64} [/tex]
[tex] = \sqrt[3]{4 \times 4 \times 4} [/tex]
= 4 (Ans)
Answer:
Step-by-step explanation:
okay can someone pls help me i literally am so confused
abio and Carlos play on a basketball team together. In the last game, Fabio had 777 points less than 222 times as many points as Carlos. Fabio scored 313131 points in the game.Write an equation to determine the number of points (c)(c)(, c, )Carlos scored in the last game.
Answer:
The equation 31=2c-7 to determine the number of points Carlos scored in the last game.
Step-by-step explanation:
We are given with,(I think every number is repeating for 3 times. So, I took each number as once)
Fabio had 7 less than 2 times as many points as Carlos. And Fabio score 31 points.
Let Carlos scored in the last game as "C".
So, we can set up equation for Fabio had 7 less than 2 times Carlos as
Fabio= 2C-7
Like so for Fabio score 31 as
Fabio =31
So, substitute Fabio as 31 into the first equation, we get
31= 2c-7
So, the equation 31=2c-7 to determine the number of points Carlos scored in the last game.
Given the equation, 1 + 6k = 25, for some value of k, what is the value of k +7 for the same value
of k?
Answer:
k + 7 = 11
k = 4
Step-by-step explanation:
1 + 6k = 25
25 - 1 = 6k
24 / 6 = k
k = 4
4 + 7 = 11
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
k = 4
The value of k + 7 = 11
Step-by-step explanation:
1 + 6k = 25
To find the value of k we have to use inverse operations
1 + 6k = 25
1 - 1= 0
25 - 1 = 24
This cancels out the 1 in this equation. 25 becomes 24 now because what we do to one side we do to the other.
6k = 24
To find k we have to divide 6 from 6 and 24
6/6= 0
24/6= 4
Now we are left with the variable k and 4
Therefore, k = 4.
To solve the second part of the equation we plug in k to the equation
k = 4
so the equation becomes 4 + 7
4 + 7 = 11
Samia created the following tables of values for a linear system. She concluded that there is no
solution to the system
Since the two linear relations are parallel to each other, no solution to the system exists. Hence, Samia's conclusion is correct.
How many solutions do a system of linear lines have?A system of equations, involving two linear lines has solutions as follows:
Unique Solution: When the lines intersect, the point of intersection is the solution.No Solution: When the lines are parallel, no solution exists.Infinite Solution: When the lines coincide, then all points on the line become solutions, giving an infinite number of solutions.How to solve the question?In the question, we are informed that Samia created the given tables for a linear system, and concluded that no solution exists for the system.
We are asked to comment on her conclusion.
To check for her conclusion, we calculate the slopes of both the lines to check whether the relations are parallel or not, as, for parallel relations, the slopes are equal.
Slope can be calculated using the formula, m = (y₂ - y₁)/(x₂ - x₁), when (x₁, y₁), and (x₂, y₂) are the points on the line.
Thus, the slope for:-
Relation 1, is m₁ = (22 - 8)/(4 - (-3)) = 14/7 = 2.
Relation 2, is m₂ = (12 - (-2))/(4 - (-3)) = 14/7 = 2.
Since the slope of the two relations is equal, that is, m₁ = m₂, and they are not coinciding with each other, we can say that the two relations are parallel to each other.
Since the two linear relations are parallel to each other, no solution to the system exists. Hence, Samia's conclusion is correct.
Learn more about the system of equations at
https://brainly.com/question/17149879
#SPJ2
whats the volume the triangular prism?
Answer:
Step-by-step explanation:
B ----> Base Area
Base is triangle
base = b = 10 in
height = h = 6 in
Area of base B = [tex]\frac{1}{2}bh[/tex]
[tex]=\frac{1}{2}*10*6\\\\= 5* 6\\\\= 30 \ in^{2}[/tex]
B = 30 in²
H = 15 in
Volume of triangular prism = BH
= 30 * 15
= 450 in³
what is the formula to get combined mean value
Answer:
The combined mean can be calculated by plugging in our numbers into the formula given: [(57*82)+(23*63)/(57+23)]=76.5
There are 2 green pens, 3 blue pens, 4 red pens, and 1 black pen in the teachers desk. The teacher selects 2 pens at random, and the pens are not replaced. What is the probability that the teachers will pick 2 red pens in a row?
Answer:
2/15
Step-by-step explanation:
2 green pens, 3 blue pens, 4 red pens, and 1 black pen =10 pens
P(red) = red/total = 4/10 = 2/5
Keep the pen
2 green pens, 3 blue pens, 3 red pens, and 1 black pen =9 pens
P(red) = red/total = 3/9 = 1/3
P(red,red) = 2/5 * 1/3 = 2/15
a boy rode his bike at an average speed of 11 kilometers per hour . how much far did he ride in four hours
Step-by-step explanation:
The answer is mentioned above.
Hope it helps.
(I will give brainliest!)
Solve for x using the distributive property
7(x-2)-3(x+3)=5(x-3)+x
Answer:
Step-by-step explanation:
7(x-2) -3(x+3) = 5(x-3) +x , distribute in parenthesis
7x -14 -3x -9 = 5x -15 +x , isolate like terms
7x -3x -5x -x = 14 +9 -15, combine like terms
-2x = 8, divide both sides by -2
x= -4
What is an equation of the line that passes through the points (-6, -8) and (-3,-3)?
Answer:
y = 5/3x+2
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( -3 - -8)/( -3 - -6)
= ( -3+8) / (-3+6)
= 5/3
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
Substituting the point (-3,-3)
-3 = 5/3(-3) + b
-3 = -5+b
-3+5 = b
2 = b
y = 5/3x+2
Given points
(-6,-8)(-3,-3)First find the slope
[tex]\boxed{\sf m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{-3+8}{-3+6}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{5}{3}[/tex]
Now
[tex]\boxed{\sf y=mx+b}[/tex]
[tex]\\ \sf\longmapsto -3=\dfrac{5}{3}(-3)+b[/tex]
[tex]\\ \sf\longmapsto b=2[/tex]
Hence the equation will be
[tex]\\ \sf\longmapsto y=\dfrac{5}{3}x+2[/tex]
