Please Help. Will Mark Brainliest Answer. A container of juice is taken from the refrigerator and poured into a pitcher. The temperature of the juice will warm to room temperature over time. The temperature of the juice can be modeled by the following function: f(t)=72−32(2.718)−0.06t, where t is measured in minutes after the juice is taken out of the refrigerator. Use the drop-down menus to complete the explanation of how the function models the juice warming over time. Dropdown possible answers: When t = 0, the temperature of the juice is -0.06, 0, 2.718, 32, 40, 72 degrees. As time increases, -32(2.718)^-0.06t gets close and closer to -0.06, 0, 2.718, 32, 40, 72. So, f(t) gets close and closer to -0.06, 0, 2.718, 32, 40, 72.
Answers
Answer:
When t= 0
f(t)= 40 degrees
The value of −32(2.718)^−0.06t approach 0 as t increases
If −32(2.718)^−0.06t approach 0 as t increases then f(t)=72−32(2.718)−0.06t approach 72
Step-by-step explanation:
The temperature of the juice can be modeled by the following function: f(t)=72−32(2.718)−0.06t, where t is measured in minutes after the juice is taken out of the refrigerator.
f(t)=72−32(2.718)^−0.06t
When t= 0
f(t)=72−32(2.718)^−0.06(0)
f(t)=72−32(2.718)^(0)
f(t)=72−32(1)
f(t)=72−32
f(t)= 40 degrees
As t increases −32(2.718)^−0.06t
Let t= 1
=−32(2.718)^−0.06(1)
= −32(2.718)^−0.06
= -30.14
Let t = 2
=−32(2.718)^−0.06(2)
=−32(2.718)^−0.12
=−32(0.8869)
= -28.38
The value of −32(2.718)^−0.06t approach 0 as t increases
If −32(2.718)^−0.06t approach 0 as t increases then f(t)=72−32(2.718)−0.06t approach 72
When t = 0, the temperature of the juice is 40°.
As time increases, [tex]-32(2.718)^{-0.06\times 0}[/tex] gets closer and closer to 0.
So, f(t) gets close to 72°
Function representing the temperature of of the juice at any time 't' is,
[tex]f(t)=72-32(2.718)^{-0.06t}[/tex]
1). If t = 0,
[tex]f(0)=72-32(2.718)^{-0.06\times 0}[/tex]
[tex]=72-32(1)[/tex]
[tex]=40[/tex] degrees
2). If [tex]t\rightarrow \infty[/tex],
[tex]-\frac{1}{32(2.718)^{0.06t}} \rightarrow 0[/tex]
[As denominator of the fraction becomes larger and larger with the increase in the value of t, value of fraction gets smaller and smaller]
3). if [tex]t\rightarrow \infty[/tex], [tex]f(t)\rightarrow 72[/tex]
Therefore, when t = 0, the temperature of the juice is 40°.
As time increases, [tex]-32(2.718)^{-0.06\times 0}[/tex] gets closer and closer to 0.
So, f(t) gets close to 72°.
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Answer:
F = -16
Step-by-step explanation:
F/4-5=-9
Add 5 to each side
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The slope of the line whose equation is x + y = 6 is: -1 1 6
Answers
Answer:
the slope of the line x+y = 6 is -1.
Step-by-step explanation:
slope = - coefficient of x
----------------------
coefficient of y
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Answer:
A: -1
Step-by-step explanation:
Find the slope of AB
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Answers
Answer:
The slope is
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The value of a car is $20,000. It loses 10.7% of its value every year . Find the approximate monthly decrease in value . Round your answer to the nearest tenth.
Answers
Answer:
$178.3
Step-by-step explanation:
The value of a car is $20,000
The car loses 10.7% of its value yearly
Since there are 12 months in a year then 10.7% can be represented as
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= 0.8916%
Therefore the approximate monthly decrease in value can be calculated as follows
= $20,000×0.8916/100
= $20,000×0.008916
= $178.3
Hence the approximate monthly decrease in value is $178.3
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Answer:
y=3
Step-by-step explanation:
7y-(5y+4)=10
7y-5y+4=10
-4 -4
7y-5y=6
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Describe fully the single transformation that takes shape A to shape B.
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Answer: It is a Rotation Angle 90 Degrees clockwise about the point (3,4)
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if the cost of a notebook is 2x-3 express the cost of five books
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Answer:
10x - 15
Step-by-step explanation:
5(2x-3) = 10x - 15
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Answer:
A. linear, because it's growing the same amount each growing season
Step-by-step explanation:
Answer:
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you
Answers
Answer:
$200,000 in bank A, $200,000 in bank B, $230,000 in bank C
Step-by-step explanation:
Meredith has $630,000
Limit per depositor, per bank, is $250,000
She needs to distribute her money between three Banks to guarantee that her money is insured.
A. $200,000 in bank A, $200,000 in bank B, $230,000 in bank C
It can be seen in A that her deposit per bank deposit didn't exceed the $250,000 limit in the three Banks.
B. $200,000 in bank A, $170,000 in bank B, $260,000 in bank C
Here, her deposit in bank C exceeds $250,000, so there is no guarantee for insurance in bank C
C. $160,000 in bank A, $180,000 in bank B, $290,000 in bank C
Her deposit in bank C is $290,000 which exceeds the $250,000 limit. Therefore, no guarantee for insurance of her money in bank C
D. $160,000 in bank A, $200,000 in bank B, $270,000 in bank C
you
Also, her deposit in bank C exceeds $250,000, so there is no guarantee for insurance in bank C
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A. $200,000 in bank A, $200,000 in bank B, $230,000 in bank C.
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pls answer
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Answers
Answer:
T^2g / (4 pi^2) = L
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Divide each side by 2 pi
T / 2 pi = 2 pi sqrt( L /g) / 2 pi
T / 2 pi = sqrt( L /g)
Square each side
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T^2g / (4 pi^2) = L
Answer:
Step-by-step explanation:
The question is prime factors of 72. answer:A.3 times 3 times 2 times 2 times 2. answer:B.3 times 3 times 2 times 2 answer:C.3 times 3 times 3 times 2 times 2 times 2. answer:D.7 times 2 times 2.
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Answer:answer=A
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Answer:
YUP THEY RIGHT
Step-by-step explanation:
GIVING BRAINLIEST TO THE FIRST PERSON TO ANSWER!
Three stores have the same tablet computer on sale. The regular price of the tablet is $150. Store A is offering the tablet on sale at 15% off the regular price. Store B is offering a $25 coupon to be deducted from the regular price. Store C is offering a rebate of $20.00 to purchasers. Store D has the tablet on sale for $120.00. Which store is offering the tablet at the lowest cost?
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B. Store B
C. Store C
D. Store D
Show ALL work please! <3
Answers
Answer: Store D
Step-by-step explanation:
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$150 times 15/100 = 22.5
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Answer:
[tex]\Large \boxed{\mathrm{Store \ D}}[/tex]
Step-by-step explanation:
Store A is offering the tablet on sale at 15% off the regular price.
150 × (1 - 15%) = 127.5
Store B is offering a $25 coupon to be deducted from the regular price.
150 - 25 = 125
Store C is offering a rebate of $20.00 to purchasers.
150 - 20 = 130
Store D has the tablet on sale for $120.00.
Store D is offering the tablet at the lowest cost.
Choose the best definition for the following phrase: combining like terms (1 point)
A letter that holds the place for some unknown value in mathematics
A process where you must look for terms that have identical variable parts and then combine their coefficients
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Terms that have identical variable parts
Answers
Answer:
D. Terms that have identical variable parts
Step-by-step explanation:
Like terms refers to terms that have identical variable parts.
For example:
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Answers
Answer:
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Melissa the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 5 clients who did Plan A and 3 who did Plan B. On Thursday there were 2 clients who did Plan A and 12 who did Plan B. Melissa trained her Wednesday clients for a total of 7 hours and her Thursday clients for a total of 19 hours. How long does each of the workout plans last? LengthofeachPlanAworkout:hour(s) LengthofeachPlanBworkout:hour(s)
Answers
Let Length of each Plan A workout be [tex] a[/tex]
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Maria had 600 coins in her wallet, but now she has 30 left of coins. What percentage of the 600 money does he have left?
Answers
Answer:5
Step-by-step explanation:30/600×100
Answer:
5%Step-by-step explanation:
[tex]\frac{30}{600} \times 100\\\\= \frac{3000}{600}\\ \\= 5\%[/tex]
Mary spent $45 at the mall. She bought lunch for $9. She bought 3 shirts at
each. Which of the following equations could be used to find x ?
Answers
Answer:
x = 12
Step-by-step explanation:
If Mary spent $45 altogether,
then she bought lunch for $9
so our equation now is
$45 = $9 + 3x
It is 3x because he bought 3 shirts and we used x because we didnt
now how much the price of those shirts were
$45 = $9 +3x
$45 - $9 = 3x
$45 - $9 = $36
$36 = 3x
$36 / 3 = 12
x = 12
Please mark this answer as the brainliest
whats the squareroot of 98
Answers
Answer: 7√2
Step-by-step explanation: To simplify a square root where the number inside the radical is not a perfect square like the square root of 98, we start by making a factor tree for the number inside.
98 factors as 2 · 49 and if you know your perfect squares,
you should be able to recognize 49 as 7 · 7.
What we are looking for in our factor tree
are pairs of factors that are the same.
If a factor pairs up, it will come out of the radical.
If a factor does not pair up, then it stays inside the radical.
So here, since our 7's pair up, a 7 will come out of the radical.
Since the 2 does not pair up, it stays inside the radical.
So our answer is 7√2.
f(x)=x^2 what is g(x)?
pls help me
Answers
Answer:
C.
Step-by-step explanation:
The transformation f(x) ---> a f(x) stretches the graph of f(x) vertically by a factor a.
The point (1, 1) on f(x) transforms to (1,9) on g(x).
This is a vertical transformation of factor 9, so g(x) = 9f(x)
= 9x^2 or (3x)^2.
Solve for x help please
Answers
Answer:
A. 5
Step-by-step explanation:
Based on the secant and tangent theorem, (4 + x)*4 = 6²
We can solve for x using the equation which describes the relationship between secant and tangents.
Thus,
[tex] (4 + x)*4 = 6^2 [/tex]
[tex] 4*4 + x*4 = 36 [/tex]
[tex] 16 + 4x = 36 [/tex]
Subtract 16 from both sides
[tex] 4x = 36 - 16 [/tex]
[tex] 4x = 20 [/tex]
Divide both sides by 4
[tex] \frac{4x}{4} = \frac{20}{4} [/tex]
[tex] x = 5 [/tex]
Please answer this question now
Answers
Answer:
m<C = 102°
Step-by-step explanation:
Step 1: find measure of arc BC.
According to the Inscribed angle theorem of a circle, an inscribed angle is half the measure of the arc it intercepts.
m<D intercepts arc ABC
thus, 80° = ½(120+BC)
Solve for BC. Multiply both sides by 2
80*2 = 120 + BC
160 = 120 + BC
BC = 160 - 120 = 40°
Step 2: Find m < A
According to the Inscribed angle theorem, m < A = ½ of arc BCD = ½(40 + 116)
m < A = 78°
Step 3: find m < C
m < A + m < C = 180 (opposite angles of an inscribed quadrilateral are supplementary)
m < C = 180 - 78 = 102°
What’s the value of X in this triangle
Answers
Answer:
x = 69.4
Step-by-step explanation:
law of sines
sine x/4 = sine 55/3.5
x = ( sine(55) * 4 ) / 3.5
x = inv sine (0.936)
x = 69.4
Plz help me with this problem guys
Answers
Multiply. (2x - 3)(x + 4) a 2x² + 11x - 12 b 2x² + 5x - 12 c 2x² + 11x - 7 d 2x² + 3x - 7
Answers
Answer:
2x^2 +5x-12
Step-by-step explanation:
(2x - 3)(x + 4)
FOIL
first 2x*x = 2x^2
outer 2x*4 = 8x
inner -3x
last -3*4 = -12
Add these together
2x^2 +8x-3x-12
Combine like terms
2x^2 +5x-12
Find x - y subtracted from 0.
1. -y-x
2. x-y
3. -x + y
Answers
= 0 - x + y
= -x + y (option 3)
Answer: Option 3
Step-by-step explanation:
Find the common ratio of the geometric sequence: 3,4,
16/3,...
A.1
B.3/4
C.4/3
D.-1
Answers
Answer:
C
Step-by-step explanation:
The common ratio r of a geometric sequence is calculated as
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{4}{3}[/tex] → C
Answer:
C)
Step-by-step explanation:
Geometric Sequence:
3, 4 , [tex]\frac{16}{3}[/tex]......
Common ratio = [tex]\frac{second term}{first term}[/tex]
= [tex]\frac{4}{3}[/tex]
solve the equation 3), x=???? Please help me!!!
Answers
Answer:
x = {π/4, 7π/6, 5π/4, 11π/6} +2kπ . . . for any integer k
Step-by-step explanation:
[tex]\dfrac{\sin^3{x}}{1+\cos{x}}+\dfrac{\cos^3{x}}{1+\sin{x}}=\cos{2x}+2\cos{x}-1\\\\\dfrac{\sin{x}(1-\cos^2{x})}{1+\cos{x}}+\dfrac{\cos{x}(1-\sin^2{x})}{1+\sin{x}}=\cos^2{x}-\sin^2{x}+2\cos{x}-1\\\\\sin{x}(1-\cos{x})+\cos{x}(1-\sin{x})=\cos^2{x}-\sin^2{x}+2\cos{x}-1\\\\\sin{x}+\cos{x}-2\sin{x}\cos{x}=2\cos{x}-2\sin^2{x}\qquad\text{use $1=s^2+c^2$}\\\\\sin{x}+2\sin^2{x}-\cos{x}-2\sin{x}\cos{x}=0\\\\\sin{x}(1+2\sin{x})-\cos{x}(1+2\sin{x})=0\\\\(\sin{x}-\cos{x})(1+2\sin{x})=0[/tex]
This will have solutions where the factors are zero.
sin(x) -cos(x) = 0
Dividing by cos(x), we have ...
tan(x) -1 = 0
x = arctan(1) = π/4, 5π/4
1 +2sin(x) = 0
sin(x) = -1/2
x = arcsin(-1/2) = 7π/6, 11π/6
The four solutions in the interval [0, 2π] are x = {π/4, 7π/6, 5π/4, 11π/6}. Solutions repeat every 2π radians.
_____
Additional comment
We have made use of the factoring of the difference of squares:
(1 -a^2) = (1 -a)(1 +a)
and we have made use of the cosine double angle identity:
cos(2x) = cos(x)^2 -sin(x)^2
The "Pythagorean" identity for sine and cosine was used several times:
1 = sin(x)^2 +cos(x)^2
A students wants to report on the number of movies her friends watch each week. The collected date are below:
0, 0, 1, 1, 2, 2, 2, 14
which measure of center is most appropriate for this situation and what's its value?
A.) Median; 1.5
B.) Median; 3
C.) Mean; 1.5
D.) Mean; 3
Answers
Answer:
A.) median; 1.5
Step-by-step explanation:
Hello!
The median is the number that is in the middle when the numbers are listed from least to greatest
0, 0, 1, 1, 2, 2, 2, 14
We can take one from both sides till there are one or two numbers left
0, 1, 1, 2, 2, 2
1, 1, 2, 2
1, 2
If there are two numbers left we add them then divide by 2 to get the median
1 + 2 = 3
3 / 2 = 1.5
The answer is A.) median; 1.5
Hope this helps!
