Answer:
1.05
Step-by-step explanation:
The rate of change of the cost, in dollars, with respect to the number of minutes purchased is 1.05 and this can be determined by differentiating the given function.
Given :
Function -- y = 5.45 + 1.05(x + 7)'y' is the cost in dollars for a prepaid cell phone plan of 'x' minutes.In order to determine the rate of change of the cost, in dollars, with respect to the number of minutes purchased, differentiate the given function with respect to 'x'.
y = 5.45 + 1.05(x + 7)
y = 5.45 + 1.05x + 7.35
y = 12.8 + 1.05x
Now, differentiate the above equation with respect to 'x'.
[tex]\dfrac{dy}{dx} = 0 + 1.05[/tex]
So, the rate of change of the cost, in dollars, with respect to the number of minutes purchased is 1.05.
For more information, refer to the link given below:
https://brainly.com/question/21835898
Select the functions that are equivalent to A (t) = 6311(1.021)^12t
A(t) = 6311(1.064)^4t
A (t) = 6311(1.0064)^4t
A(t) = 6311(1.0252)^t
A(t) = 6311(1.283)^t
A (t) = 6311 (1.0216 1/12)^12t
A (t) = 6311(1.00347)^2t
2 divided by 9/10 (in fraction or mixed number form)
Answer:
decimal: 2.22 mixed number: 2 2/9
DEFG is a parallelogram. Segment DH = 2y + 6, segment HF = 4x + 1, segment HE = 3x + 2 and segment GH = 20. Find the value of GE and DF.
Answer:
[tex]DF = 38[/tex]
[tex]GE = 40[/tex]
Step-by-step explanation:
Given
[tex]DH = 2y + 6,[/tex]
[tex]HF = 4x + 1,[/tex]
[tex]HE = 3x + 2[/tex]
[tex]GH = 20.[/tex]
See attachment for parallelogram.
Required
Find GE and DF
From the attachment:
[tex]GH= HE[/tex]
Substitute values for GH and HE
[tex]20 = 3x + 2[/tex]
Subtract 2 from both sides
[tex]20-2 = 3x + 2-2[/tex]
[tex]20-2 = 3x[/tex]
[tex]18= 3x[/tex]
[tex]3x = 18[/tex]
Divide both sides by 3
[tex]x = \frac{18}{3}[/tex]
[tex]x=6[/tex]
[tex]GE = GH + HE[/tex]
[tex]GH= HE[/tex]
So:
[tex]GE = GH + GH[/tex]
[tex]GE = 20 + 20[/tex]
[tex]GE = 40[/tex]
To find DF, we find y first:
[tex]DH = HF[/tex]
[tex]2y + 6 = 4x + 1[/tex]
Subtract 6 from both sides
[tex]2y +6- 6 = 4x + 1-6[/tex]
[tex]2y = 4x + 1-6[/tex]
Substitute 6 for x
[tex]2y = 4*6 + 1-6[/tex]
[tex]2y = 19[/tex]
Divide both sides by 2
[tex]y = \frac{19}{2}[/tex]
[tex]y = 9.5[/tex]
DF is then calculated as"
[tex]DF = DH + HF[/tex]
[tex]DF = 2y+6 + 4x+1[/tex]
Substitute values for x and y
[tex]DF = 2*9.5+6 + 4*3+1[/tex]
[tex]DF = 38[/tex]
I WILL GIVE 50 POINTS FOR AN ANSWER The daily cost of hiring a clown, y, to work x hours at a birthday party can be modeled using a linear function. The clown charges a fixed cost of $50 for booking plus an additional cost of $15 per hour. The clown works a maximum of 6 hours per day.
For one day of work, what is the range for this situation?
Which of these are mathematical sentences? Check all that apply.
A. 12n = 24
B. X+ 2 = 6
C. 24
D. 2x
9514 1404 393
Answer:
A, B
Step-by-step explanation:
A mathematical sentence expresses a complete thought using mathematical symbols and numbers. In these sentences, the "=" corresponds to the "verb" in the sentence.
The terms 24 and 2x correspond to "nouns". They describe a mathematical object, but say nothing about it.
The sentences:
A. 12n = 24
B. x + 2 = 6
Solve for x . 955=5x
Answer:
191
Step-by-step explanation:
955 = 5x
divide both sides by 5 to get x by itself
x = 191
Simplify the expression, 18 + (-5) -5/7j - 3/7j + 6
Answer:
[tex]18 + ( - 5) - \frac{5}{7j} - \frac{3}{7j} + 6 \\ = (18 - 5 + 6) - ( \frac{5}{7} + \frac{3}{7} ) \frac{1}{j} \\ = 19 - \frac{8}{7j} [/tex]
Your mother bought a three-liter bottle of water. When she got home, she discovered a small leak in the bottom and asked you to find a container to transfer the water into. All you could find were two half-gallon jugs. Part 1 out of 2 Will your containers hold all of the water? Complete the explanation. Two half gallons containers (select) hold one gallon, which is about liters.
Answer:
1
Step-by-step explanation:
some one please help me
Answer:
b>k c>L ac>JL bc>KL
Step-by-step explanation:
poggers
Answer:
B = K
C = L
AC = JL
BC = KL
hope this helps!
4.
Darnell starts saving the same amount from each weeks paycheck. The table shows the total balance f(n) of
his savings account over time in weeks.
Time (weeks) n
2
3
Savings Account Balance(s) fin) $250 $380
$510 $640
Determine the value of f(9), and explain what it represents in this situation.
Answer:32
Step-by-step explanation:
Choice the correct answer
Answer:
wheres A
Step-by-step explanation:
On a windy morning, a hot air balloon starts rising and flying away from the top of a
hill. The altitude, h, in feet, of the balloon x hours after starting its ascent from the
hill, can be modeled by the function: h(x) = -16x2 + 64x + 80.
The balloon will reach its maximum height after how many hours?
Answer: (2,144)
Step-by-step explanation:
A smart phone regularly sells for $180.00 but is on sale for 30% off. What is the amount of the discount?
Answer:
$54
Step-by-step explanation:
The amount of the discount can be found by multiplying 180 by 0.3 which is 54.
If you also need to know the new total it would be $126 because
180 - 54 = 126
ixl.com/math/grade-7/area-of-triangles-and-trapezoids
What is the area?
9 yd
8 yd
square yards
(click on picture)
Answer:
28
Step-by-step explanation:
The area is multiplying the width and height together divided by two. 9*8 is 56. 56/2 is 28.
2-b/3=-5/2 what dose b =
Answer:
I believe that the answer is b= 19/2.
Graph: y=3/4x+5 Please let me know guys
points for you........................................
Answer:
Thanks man..............
Answer:
thx
Step-by-step explanation:
First, find the area of each rectangle. 3×5 1/6
Answer:
31/2
Step-by-step explanation:
hope this helps!
4j = 0.7 Solve for j
Answer:
0.175
Step-by-step explanation:
[tex]\frac{4j}{4} =\frac{0.7}{4}[/tex]
j=0.175
if x is the first of two consecutive integers, express the sum of the two integers in terms of x
Answer:
2x+1
Step-by-step explanation:
x = 1st integer
x+1 = next consecutive integer
The sum is
x+ (x+1)
Combine like terms
2x+1
let the first integer be x and the second be x + 2
then the sum is x +x+2 = 2x +2
The melting/freezing point of mercury is –39ºC. A scientist put liquid mercury into a freezer that is kept at a constant temperature of –35ºC. Will the liquid mercury freeze?
Answer:
The mercury will not freeze because the freezer is warmer than the freezing point of mercury.
Step-by-step explanation:
A "freezing point" is a point that allows a liquid to solidify. This is lower than the melting point (of course). However, specific liquids freeze at varying freezing points.
For example, the freezing point of water is 0°C while the freezing point of Mercury is -39°C. This means that water will only freeze once it reaches a temperature of 0°C or lower than this. Same goes for Mercury–it needs to reach the temperature of -39°C or lower in order to freeze.
Amelia launched her science fair rocket, and then backed away. The path of the rocket is given by the equation below, where y is the the height in feet amd x is the time in seconds the rocket is in the air y=-2×^2+5x+7
1)when does the rocket hit the ground?
2)what is the maximum height of the rocket?
Answer:
1)The rocket hit the ground at [tex]x = \frac{5}{4}[/tex]
2)The maximum height of the rocket = 12.468 feet
Step-by-step explanation:
Step(i):-
Given equation
y = -2 x² + 5 x + 7 ...(i)
Differentiating equation (i) with respective to 'x' , we get
[tex]\frac{dy}{dx} = -2( 2x) +5(1) = -4x +5[/tex]
Equating zero
[tex]\frac{dy}{dx} = 0[/tex]
⇒ -4 x +5 =0
⇒ -4 x = -5
⇒ [tex]x = \frac{5}{4}[/tex]
The rocket hit the ground at [tex]x = \frac{5}{4}[/tex]
Step(ii):-
[tex]\frac{dy}{dx} = -4x +5[/tex] ...(ii)
Again differentiating equation (ii) with respective to 'x' , we get
[tex]\frac{d^{2} y}{dx^{2} } = - 4(1) <0[/tex]
The maximum height at x = [tex]\frac{-5}{4}[/tex]
y = -2 x² + 5 x + 7
[tex]y = -2 (\frac{5}{4})^{2} + 5 (\frac{5}{4} ) + 7[/tex]
[tex]y = \frac{-2(25)+ 25 (16)+7(64)}{64}[/tex]
[tex]y = \frac{798}{64} = 12.468 feet[/tex]
The maximum height of the rocket = 12.468 feet
3. 1,199 / 5 =
What is the compatible number to find two estimate the quotient is between
Answer:
in decimal = 239.8
........
 (6,-3) and y = - 6x - 3
Hello! Please answer this question with all of the info it is asked for. Please be sure to include all of your work and share any of your thoughts you had when solving. Please do not answer unless you know the answer. Thanks! Good Luck!
A golf ball is launched straight up into the air from the ground with an initial velocity of 160 ft/s. The function that models the ball's height is: h(t) = -16t^2 + 160t.
a) Find how long it takes for the golf ball to reached its maximum height.
b) Determine how long the golf ball is in the air before it hits the ground.
c) Determine the maximum height that the golf ball reaches.
Answer:
a) 5 secb) 10 secc) 400 mStep-by-step explanation:
Given is the quadratic function:
h(t) = -16t^2 + 160tThis gets maximum value at vertex, which is achieved at:
x = -b/2a, of y = ax^2 + bx + cIn our case:
t = -160/2(-16) = 5 secondsMaximum height is at vertex:
h(5) = -16*5^2 + 160*5 = 400 mTime the ball hits the ground, h(t) = 0:
-16t^2 + 160t = 0t^2 - 10t = 0t(t - 10) = 0t = 0 seconds is the starting pointt = 10 seconds is when the ball hits the groundEvaluate the equation r-4.012=5.313
Answer:
r = 9.325
Step-by-step explanation:
Hope this helps!!!
Why does every prism have 2/3 as many vertices as edges?
Step-by-step explanation:
Because it's impossible to not have a shape without edges
Are the vectors U1 = and U2 = parallel?
Answer:
Express the vector →u below as a sum of two vectors →u1 and →u2, where →u1 is parallel to the vector →v given below, and →u2 is perpendicular to →v.
Drag the missing word into place
0.5 is the ___ that is equal to one half
Fraction
Hundredth
Decimal
Answer:
Decimal
Step-by-step explanation:
its a Decimal because 0.5 is an fact a decimal and its is equal to half and you can put 2 and 2 together and say it is a decimal just by how it looks
:) i hope you get the question righttt trust me its right i got it right on flocabulary.
The missing word into place is Decimal. Hence option 3 is true.
Used the concept of decimal number that states,
In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.
Given that the number is,
0.5
Now the number is written as,
0.5
5/10
1/2
And, the number 0.5 is in the form of a Decimal.
Hence, The missing word place is Decimal.
Therefore, option 3 is true.
To learn more about decimal numbers:
brainly.com/question/1285738
#SPJ6
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 417 gram setting. Based on a 26 bag sample where the mean is 421 grams and the standard deviation is 15, is there sufficient evidence at the 0.05 level that the bags are underfilled or overfilled? Assume the population distribution is approximately normal.
State the null and alternative hypotheses.
Answer:
Null, H0 : μ = 417
Alternative, H1 : μ ≠ 417
Step-by-step explanation:
Given that :
The mean grams by a bag filling machine μ = 417
Hence, the null hypothesis is That bag filling machine works correctly at 417 grams setting
The alternative hypothesis will negate the null ; In this question, the alternative hypothesis looks at the possibility of either overfill or underfill, which In straightforward terms means that the 417 g ram setting for the bag filling machine is incorrect.
Hence,
Null, H0 : μ = 417
Alternative, H1 : μ ≠ 417
