The temperature will be when you take the last sip 18 minutes after you poured it, will be 114.64 °F.
What is an exponent?The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.
Isaac Newton proved that fluids cool exponentially when left out in an open space.
A cup of coffee was poured at a temperature of 210°F and left on the dining room table to cool.
If you start drinking it at a temperature of 150°F, 10 minutes later.
The exponential function is given as
[tex]\rm T_f = T_i (a)^{-t}[/tex]
Then the initial temperature will be 210°F.
[tex]\begin{aligned} 150 &= \rm 210 (a)^{-10}\\\\0.7143 &= \rm a^{-10}\\\\-0.146 &= \rm -10 \log a\\\\0.0146 &= \rm \log a\\\\\rm a &= \rm 1.0342 \end{aligned}[/tex]
Then the equation will be
[tex]\rm T_f = 210 (1.0342)^{-t}[/tex]
Then the temperature will be when you take the last sip 18 minutes after you poured it.
[tex]\rm T_f = 210 (1.0342)^{-18}\\\\T_f = 114.64 \ ^oF[/tex]
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Which graph of f(x) satisfies the conditions lim f(x) = -4 and lim f(x) = 0?
X2-
X-2+
Y
The graph of f(x) satisfies the conditions lim f(x) = -4 and lim f(x) = 0 is the graph attached.
What is one-sided limit for function?It should be noted that the limit from one side is simply when the side of the functions is used with respect to the point of interest.
For this graph, the point x = 2 on the left from the point x = 2 lies a ray. The prediction here is that the value of function on x = 2 us the value that the line gives for y.
Therefore, the graph of f(x) satisfies the conditions lim f(x) = -4 and lim f(x) = 0 is attached.
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Andy is scuba diving. He starts at sea level and then descends 10 feet in 212 minutes.
Part A
How would you represent Andy’s descent as a unit rate? Express your answer as an integer
Part B
If he continues at this rate, where will Andy be in relation to sea level after 6 minutes?
the measure of ∠ABD is (0.18x+54)° and the measure of ∠CBD is (0.07x+39)°. find the value of x.
Answer:
x = 348
Step-by-step explanation:
From the given we can tell it a supplementary angle.
Don't know what supplementary angle is?
Supplementary angle are angles that :
Equal 180 °
Solve:
Since,
∠ABD is (0.18x+54)°
∠CBD is (0.07x+39)°
Thus,
(0.18x+54) + 0.07x + 39 = 180
Group likes terms:
0.25x + 54 + 39 = 180
0.25 + 93 = 180
Subtract 93 from both sides
0.25x = 87
x = 348
Check Answer:
0.18(348) + 54 + 0.07(348) + 39
= 180
Millie makes a placemat with a triangular pattern. Each triangle has a base of 5 inches and a height of 4 inches. Millie sews together a total of 42 triangles.
Each triangle has an area of
inches2
The total area of the placemat is
inches2
Answer:
10 inches²
420 inches²
Step-by-step explanation:
1) Area of a triangular placemat:
= ½ × base × height
= ½ × 5 × 4
= 10 inches²
2) Total area of the placemat:
= Area of a placemat × Number of triangles
= 10 × 42
= 420 inches²
i need the answer to this question please
Answer:
B and C
Step-by-step explanation:
Hope it helps
I Need help Really bad
Answer:
7776π in³
Step-by-step explanation:
You are given the area of the sphere, so you can use the area formula to find its radius. Then the volume formula can be used to find the volume.
__
radiusThe area of the sphere is given by the formula ...
A = 4πr²
Solving for r, we find ...
A/(4π) = r²
√(A/(4π)) = r = √(1296π/(4π)) = √324 = 18
The radius of the sphere is 18 inches.
__
volumeThe volume formula is ...
V = 4/3πr³
Using the found radius, we find the volume to be ...
V = 4/3π(18 in)³ = 4/3(5832)π in³
V = 7776π in³
convert R1200 to japanese yen
Answer:
32618.30
Step-by-step explanation:
R represents Brazilian real, therefore, right now 1 real equals 27.18 yen
therefore multiply...
giving you roughly 32,618.30 yen per R1,200
(in fact, as i type this it changes)
hope this helps:)
rek is attending a four-year college. His tuition for one year derek is attending a four year college.his tuition for one year is $12,400 and his family is going to contribute $4,120.
w much does Derek need to save each month his junior and senior year of high school (two full years) to pay for the first year at
four-year college?
A. $516.67
B. $345.00
C. $172.50
D. $258.34
What is the missing angle? (Please use image attached)
Answer:
56
Step-by-step explanation:
Since vertical angles are equal, we know the two angles labeled are equal.
We can then set up an equation to get
[tex]19x-28=9x+52.[/tex]
Subtracting [tex]9x[/tex] from both sides to isolate the variable gives us
[tex]10x-28=52[/tex].
Then, adding [tex]28[/tex] to both sides gives
[tex]10x=80,[/tex]
and dividing both sides by 10 gives
[tex]x=8.[/tex]
Now, we can find the measure of [tex]9x+52[/tex] by plugging what we found for [tex]x[/tex] in:
[tex]9(x)+52=9(8)+52=72+52=124.[/tex]
Since the angles ? and 9x+52 make up a line, they are supplementary. Therefore, we have
[tex]?=180-(9x+52)=180-124=\boxed{56}.[/tex]
Find the surface area of a cylinder with a height of 7 yd and a base diameter of 10 yd.
Use the value 3.14 for , and do not do any rounding.
Be sure
to include the correct unit.
7-yd
10 yd
if it has a base diameter of 10, that means its base radius is half that, or 5.
[tex]\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=7\\ r=5 \end{cases}\implies \begin{array}{llll} SA=2\pi (5)(7+5) \\\\\\ SA=10\pi (12)\implies SA=120\pi \\\\\\ \stackrel{using~\pi =3.14}{SA=376.8~yd^2} \end{array}[/tex]
Jada recorded the heights of the plants she's growing in her garden. This line plot shows what she recorded.
How much taller is one of the tallest plants than one of the shortest plants?
The tallest plant is [tex]1 \dfrac{3}{4}\ inches[/tex] timed taller than the shortest plant.
What is graphical analysis?The finding of the conclusion by reading the data on the graph is termed as the graphical analysis.
Given:
The line plot below shows the heights of flowers in a garden.
To Find:
How much taller is the tallest flower than the shortest flower?
The solution will be:
Knowing that each dot represents it's heights.
Let's makes a table:
[tex]6 \dfrac{1}{2} =OO[/tex]
[tex]6 \dfrac{3}{4} = O[/tex]
7 ⇒ ОООО
[tex]7 \dfrac{1}{4} == > OOOOOO[/tex]
[tex]7 \dfrac{1}{2} = OOOO[/tex]
[tex]7 \dfrac{3}{4} = OO[/tex]
8 ⇒ none
[tex]8 \dfrac{ 1}{4} = O[/tex]
[tex]8 \dfrac{1}{2}[/tex] ⇒ none
It's also given that the tallest flower and the shortest flower.
Which is:
Smallest → [tex]6 \dfrac{1}{2}[/tex]
Tallest → [tex]8 \dfrac{1}{4}[/tex]
Now all we have to do is subtract tallest flower from the shortest flower.
[tex]8 \dfrac{ 1}{4} - 6\dfrac{ 1}{2}[/tex]
Break off 1 from 8 : 8 1/4 = 7 5/4
Now we have:
[tex]7 \dfrac{5}{4} - 6\dfrac{ 1}{2}[/tex]
Subtract whole number: 7 - 6 = 1
Combine fraction:
[tex]\dfrac{5}{4} - \dfrac{1}{2} = \dfrac{3}{4}[/tex]
[tex]=1 + \dfrac{3}{4}[/tex]
Hence the tallest plant is [tex]1 \dfrac{3}{4}\ inches[/tex] timed taller than the shortest plant.
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please help asap i cannot find the answer anywhere.
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y < 4x − 8
y is greater than or equal to negative 5 over 2 times x plus 5
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area.
Part B: Is the point (5, −8) included in the solution area for the system? Justify your answer mathematically.
< sign so it's dotted line to be graphed .
Put (0,0)
0<0-80>-8Away from origin shading
And
y≥-5/2x+5Put 0
0≥-5/5=-1Rational function ,two side parabola type lines
Dark lines and it's shading from origin in one part and in other towards origin(Look attachment)
Graph attached
Yes (5,8) is included in solution region
Answer:
Given inequalities:
[tex]y < 4x-8[/tex]
[tex]y\geq -\dfrac{5}{2}x+5[/tex]
Part AThe graph of the system is made up of 2 straight line graphs.
The graph of [tex]y < 4x-8[/tex] is a dashed straight line with shading under the line.
The graph of [tex]y\geq -\dfrac{5}{2}x+5[/tex] is a solid straight line with shading above the line.
The solution area is the area where the shading of the two lines overlaps.
Part BTo determine if the point (5, -8) is included in the solution area, input the point into both inequalities:
[tex]\begin{aligned}y & < 4x-8\\\implies -8 & < 4(5)-8\\-8 & < 20-8\\-8 & < 12 \quad \leftarrow \textsf{correct}\end{aligned}[/tex]
[tex]\begin{aligned}y & \geq -\dfrac{5}{2}x+5\\\implies -8 & \geq -\dfrac{5}{2}(5)+5\\\implies -8 & \geq -7.5 \quad \leftarrow \textsf{incorrect}\end{aligned}[/tex]
Therefore, the point (5, -8) is not included in the solution area as it is only true for one inequality.
y²+y-20 can sb answer this
Answer:
STEP ONE.
Use the sum-product solution.
y² + y - 20
y² + 5y - 4y - 20
STEP TWO.
Common factors from the pairs.
y² + 5y - 4y - 20
y (y + 5) - 4 (y + 5)
STEP THREE.
Rewrite in factored form.
y (y + 5) - 4 (y + 5)
(y - 4) (y + 5)
SOLUTION
(y - 4) (y + 5)
Step-by-step explanation:
hope this helped !! good luck and make sure to always stay safe and happy !
you got this !!
multiply 4x³V4x²(2³V32x²-x³V2x)
Answer:
32x^(7)V^(36)-4x^(9)V^(6)
Step-by-step explanation:
x^8+x^4+1−(24)(7)−45 simplify
[tex] {x}^{8} + {x}^{4} + 1 - (24)(7) - 45[/tex]
to find:the simplest form.
solution:[tex] {x}^{8} + {x}^{4} + 1 - (24)(7) - 45[/tex]
[tex] = {x}^{8} + {x}^{4} + 1 - 168 + - 45[/tex]
[tex] = ( {x}^{8} ) + ( {x}^{4} ) + (1 + - 168 + - 45)[/tex]
[tex] = {x}^{8} + {x}^{4} - 212[/tex]
Draw the following triangle after a translation 3 units to the right and 3 units up
The translation 3 units to the right and 3 units up is attached below.
What is translation?A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
A translation is a transformation that moves every point in a figure the same distance in the same direction.
For example, this transformation moves the parallelogram to the
right 5 units and up 3 units.
It is written ( x , y ) → ( x + 5 , y + 3 ) .
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which set of sides would make a right angle ?
Answer:
It's A 5 12 & 13 make a right angle
A lily pad is growing on a lake and it grows 2 times bigger a day. On the 20th day it was covering the whole lake. On what day was it covering one eight of the lake?
A good’s demand is given by: p = 479 – 2q. At p = 80, the point price elasticity is:
If the value of the p is 80 and the equation is p = 479 – 2q. Then the price point of the elasticity is 199.5.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
A good’s demand is given below.
p = 479 – 2q
At p = 80, the point price elasticity will be
80 = 479 – 2q
2q = 479 – 80
2q = 399
q = 199.5
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Find the Volume! ^^
(Giving brainiest)
Answer:
The total volume of the composite figure is 420 ft³.
Step-by-step explanation:
I'm not sure but I solved it as fast as I could
I apologize if it's incorrect :(
Sabine rode on a passenger train for 480 miles between 10:30 A.M. and 6:30 P.M. to visit
a friend in a different city.
Part A
Calculate the train's average speed while Sabine was riding.
Answer
miles per hour
Answer:
60
Step-by-step explanation:
630 minus 1030 is 8 hours
480 divided by 8 is 60
Please help!!!!!
Suppose you toss 10 coins randomly at the board below and that all coins stay on the board. Find the probability as a fraction of landing in the shaded region.
A. 1/9
B. 8/9
C. 2/3
Answer: B
Step-by-step explanation:
The area of the larger square is 9^2 = 81, and the area of the smaller square is 3^2 = 9. This means the area of the shaded region is 81-9=72. Hence, the desired probability is 72/81 = 8/9.
Jasmine deposited $700 in an account earning 9% interest compounded annually.
To the nearest cent, how much will she have in 1 year?
Answer:
$763
Step-by-step explanation:
Answer:
Jasmine will have 763 dollars in one year
Step-by-step explanation:
Happy to help :D
witch value from the set {3,8,9,14} makes the euation true 2n-5=
The value from the set {3,8,9,14} makes the equation 2n - 5 = 11 true is n = 8
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
2n - 5 = 11
When n = 3:
2(3) - 5 = 1 ≠ 11
When n = 8:
2(8) - 5 = 11
When n = 9:
2(9) - 5 = 13
When n = 14:
2(14) - 5 = 23
The value from the set {3,8,9,14} makes the equation 2n - 5 = 11 true is n = 8
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HELP ME PLS!!!!!!!!!!!!!!!! I NEED HELP ASAP CUZ I NEED TO GO SOMEWHERE!
Answer:
D 2,5
Step-by-step explanation:
have a good day and don't copy me
What is the most prescise classification of this shape?
Answer:
the answer for this question isnparallelogram
Answer:
Parallelogram
Step-by-step explanation:
Please Hurry!!
Find the measure of WOV. Which angle relationship did you use?
Answer:
angle wov=90-30angle wov=90-30=60( by 90 degree given in figure
sum of wox+wov=vox
Find the value of
484 ÷ 44 × 6 × 4 = ___
Answer:
the anwser is 264
Step-by-step explanation:
484 divieded by 44 = 11
11 times 6 = 66
66 times 4 = 264
Answer:
The answer is 264 pls mark me brainliest
Step-by-step explanation:
Work out the length of x
Answer:
x=2
Step-by-step explanation:
x=14cm/7cm
x=2cm
waakan jawaabta kafaa ideesi wcan
If it takes 2/3 hours to paint 2/5 room how many hours does it take to paint one room
Step-by-step explanation:
2/3 hours for 2/5 room.
that means
5×2/3 = 10/3 hours for 5×2/5 = 2 rooms
and then 1 room in 10/3 / 2 = 5/3 hours
