Answer:
£57.6
Step-by-step explanation:
Anne Kates house is 20c. She had just made a fresh cup of tea (100c). Five minutes after she made her mad scientist nephew came in,stuck a thermometer in the cup and announced that the tea was now only 70c Write the possible equation with asymptotes
Answer:
The possible equation is; T(t) = 20 + 80·[tex]e^{(-0.094 \cdot t)}[/tex]
The horizontal asymptotes is Lim(t → ∞), T → 20°C
The vertical asymptote is Lim(t → 0) T → 100°C
Step-by-step explanation:
The given parameters are;
The temperature of the house = 20°C
The initial temperature of the tea = 100°C
The temperature of the tea after 5 minutes = 70°C
From Newton's law of cooling, is given as follows;
[tex]T(t) = T_s + (T_0 - T_s) \cdot e^{k \cdot t}[/tex]
[tex]\dfrac{dT}{dt} = -k(T - T_a)[/tex]
Where;
T(t) = The temperature after time, t =
[tex]T_s[/tex] =The room temperature = 20°C
T₀ = The initial temperature of the tea = 100°C
k = Constant
T(5) = 70°C, therefore, we have;
[tex]70 = 20 + (100 - 20) \cdot e^{k \cdot 5}[/tex]
50/80 = [tex]e^{k \cdot 5}[/tex]
5·k = ㏑(5/8)
k = ㏑(5/8)/5 ≈ -0.094
Therefore, the possible equation is given as follows;
T(t) = 20 + 80·[tex]e^{(-0.094 \cdot t)}[/tex]
The asymptotes are Lim(t → ∞), T → 20°C and Lim(t → 0) T → 100°C
Joe made a frozen yogurt shake with 10 ounces of milk and some strawberry frozen yogurt. He used the mixture to fill three 5-ounce glasses and had 2 ounces left over. How much-frozen yogurt did he use?
Answer:
2x - 9y = 23
5x - 3y = -1
Step-by-step explanation:
need help from An Expert i really need your help help with the whole thing
Answer:
free points
Step-by-step explanation:
Answer:
etm
Step-by-step explanation:
yc
Please help !!!!!!! Will mark brainliest
Answer:
i dont now
Step-by-step explanation:
<zxcvbnm,.
What is the vertex of the function (X) = -x + 71 - 4?
O A. (-7,-4)
B.
(7,4)
O C. (-7,4)
OD. (7,-4)
Answer:
C
Step-by-step explanation:
Hope this Helps.
The coordinate of the vertex is ( 7 ,4), the correct option is B.
What is an Absolute value function?An absolute value function is a function that gives positive value for a number or variable. It has a V shaped graph, it is also called as a modulus function.
The absolute function is y = | -x +7| +-4
The v shaped curve has a vertex and it can be determined by following method.
The value of the x coordinate is determined by equating the modulus to 0, the point at which the modulus is zero.
-x +7 = 0
Adding -7 to both sides.
-x = -7
x = 7
The value of y at this point is the y coordinate of the vertex.
y = 0 +4
y = 4
(x,y) = ( 7,4)
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what is the [?]
which one answers this equation. please help
24 [?] 3/4= -32
answer choices:
x (times)
+ (plus)
- (minus)
/ (divided by)
Please help!! ill give 20pts
1) y=x2+24x+43
find the vertex form by completing the square SHOW ALL WORK!!!
2) Given the function f(x)=−x2+8x+9, state whether the vertex represents a minimum or maximum point for the function. Explain your answer.
Answer:
1. Vertex is (-12, -101)
2. Vertex is (4, 25)
Step-by-step explanation:
1)
[tex]y = x^{2} + 24x + 144 + 43 - 144\\ = (x + 12)^{2} - 101[/tex]
Vertex is (-12, -101)
2)
[tex]y = -x^{2} + 8x + 9\\ = -(x^{2} - 8x + 16) +9 + 16\\ = -(x - 4)^{2} + 25[/tex]
Vertex is (4, 25)
Choose the equations that have (-3, 5, 3) as a solution. Select the two correct
answers.
-x- y + 5z = 1
x - 2y + 3z = -4
x+y-z= -1
-x+y-z=4
2x - y + z = 8
Answer:
d and b
Step-by-step explanation:
What is
h(x) = 1/(x-5)3
Answer:
lim_( 3\/(-5 + x) = 0
Step-by-step explanation:
h(x) = 1\/(x - 5)×3
{x element R : x!=5}
{h element R : h!=0}
d\/dx(3\/(x - 5)) = -3\/(x - 5)^2
integral 3\/(x - 5) dx = 3 log(x - 5) +
Calculate the sum of the first n terms of the arithmetic progression (an)
a) a, = -4; d = 2; n = 16
please help me
Answer:
n²-5n
Step-by-step explanation:
The sum of the nth term is expressed as;
Sn =n/2[2a+(n-1)d]
Given
a, = -4; d = 2; n = 16
Sn = n/2[2(-4)+(n-1)2]
Sn =n/2[-8+2n-2]
Sn = n/2[2n-10]
Hence the sum of the nth term is 2n²-10n/2
2n(n-5)/2
= n(n-5)
= n²-5n
The sum of the nth term is n²-5n
The area of a square floor on a scale drawing is 81 square centimeters, and the scale drawing is 1 centimeter:2 ft. What is the area of the actual floor? What is the ratio of the area in the drawing to the actual area?
Answer:
4 sq ft is the answer to your question
Estimate the sum of 872 and 121 by rounding both values to the nearest hundred. What is the best estimate of the sum?
Answer:
872
Step-by-step explanation:
Lauren got 321$ for her birthday. She wants to put 20% in her savings account. How much will she have left over to buy new clothes?
Answer:
$256.80
Step-by-step explanation
Change the 20% to a decimal, .20, the multiply it by the total amount of $$$, 321, and you get $64.20. Subtract that by the total amount to get the amount left over for her to get new clothes.
Hope it helps!! :))))
A company charges a flat fee of 1500 dollars to rent a yacht in addition renters must pay 100 dollars per hour
Answer:
[tex]y= 1500+100x[/tex]
Step-by-step explanation:
Given data
Flat fee= $1500
additional fee= $100 per hour
let the number of hours be x
Hence the total charges for x hours y is given as
[tex]y= 1500+100x[/tex]
Steve is playing a carnival game. He wants to win a prize, but he thinks he has about a 20% chance of winning. He uses the expression 0.2t to calculate the number of games he will need to play in order to win a prize.
If he plays the game 12 times, about how many times can he expect to win?
Answer:50%
Step-by-step explanation:
Steve's expected times of winning in 12 trials is about 2 times.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
The winning chance of Steve is 20% or 0.2.
We know, We know The expected value, also known as the expectation, average, is a generalization of the weighted average in the field of probability theory.
Informally, the anticipated value is the arithmetic mean of a significant number of outcomes of a random variable that were independently chosen.
Therefore, If he plays the game 12 times the number of times he is expected to win is,
= 12×0.2.
= 2.4 Or 2 times.
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I’m trying to figure out #’s 31 and 32. I don’t need the answers I just need guidance on how to figure them out.
Answer:
open circle means less than OR greater to
closed circle means less than or equal to OR greater than or equal to
Which expression is equivalent to the expression shown below?
11/12 divided by 2/9
A:11/12•9/2
B:12/11•9/2
C:12/11+2/9
D:12/11+9/2
Answer:
Your answer is A. 11/12 • 9/2
HELP WILL MARK BRAINLIEST IF GOTTEN RIGHT!!! GET IT WRIBNG ON PURPOSE I REPORT YOU!
Answer:
A
Step-by-step explanation:
what is the distance between points A(3,-5) and B(-8,2) on the coordinate plane?
Answer:
use distance formula
Step-by-step explanation:
in PE class, Josiah and his friends had to measure their heights. They each
used a different measurement tool, and then recorded their heights in the
chart below.
Josiah is 1 yard
Andy is 3 1/2 feet
Frank 31 inches
Question : Which of the following lists the boys’ heights in the correct order from
tallest to shortest?
Answer Choices:
A. Josiah, Andy, Frank
B. Frank, Josiah, Andy
C. Andy, Frank, Josiah
D. Andy, Josiah, Frank
Answer:
D
Step-by-step explanation:
3 1/2 = 1 yard and 1/2 inch then a yard then 31 divided by 12 is 2.??
A flower shop sells daffodils in bunches of 9 daffodils. The shop sells 27 daffodils. How many bunches of daffodils did the shop sell?
Answer:
its 3 brother
Step-by-step explanation:
you divide 27 by 9 and thats 3
ANSWER THESE AND YOU GET BRAINLIEST OH AND THESE ARE JUST PROBLEMS I MADE FOR YALL
5. Miley had a rope that was 5.5 meters in length. She cut 3 pieces, 1.25 meters each. How long, in meters, was the remaining rope?
6. Isaiah hiked 3 days.
On Monday, he hiked 314miles
On Tuesday, he hiked 134miles less than he hiked on Monday
On Wednesday, he hiked 212miles more than he hiked on Tuesday
How many miles did Isaiah hike on Wednesday?
Answer the photo below thanks
Find another point in the pattern that passes through the points (0, 4) and (2, 12)
Answer:
3
Step-by-step explanation:
Which value of x from the set { 8 , 11 , 61 , 67 } makes the equation ( x − 3 )² = 64 true?
8
11
61
or 67
Answer:
I
Step-by-step explanation:
this its 61 ok thanks you
Which expression is equivalent to 8(2x + 4)?
A. 16x + 32
B. 2x + 32
C. 16x + 4
D. 10x + 12
4(w + 1) = -6; w =
help asap
Answer:
w = -10/4 or -2.5
Step-by-step explanation:
4(w + 1) = -6
4w + 4 = -6
4w = -10
w = -10/4 or -2.5
Answer:
W = 1/2 or 0.5
Step-by-step explanation:
Distribute
4w + 4 = 6
-4. -4
4w/4 = 2/4
W = 1/2
please helpp!!
The exponential function f(x) has a horizontal asymptote at y = 3.
What is the end behavior of f(x)?
A.
As x decreases, f(x) approaches, but never reaches, 3. As x increases, f(x) increases.
B.
As x decreases, f(x) decreases. As x increases, f(x) approaches, but never reaches, 3.
C.
As x decreases, f(x) approaches, but never reaches, 3. As x increases, f(x) decreases.
D.
As x decreases, f(x) approaches, but never reaches, 0. As x increases, f(x) increases.
Answer: A
Step-by-step explanation:
a
Step-by-step explanation:
find the slope given the following points (8,-6) (-9,-12)
I need help! What’s the value of c in the equation below?
Answer:
-4
Step-by-step explanation:
Answer:
A quarter
Step-by-step explanation:
2 to the power of negative four = 0.0625
Multiply this by two to the power of two [four] and your answer is naught point two five [a quarter]