Answer:
in 3 minutes and 50 seconds
Step-by-step explanation:
soup = 95c
after 1 minute = 83c
after 2 minutes = 71c
after 3 minutes = 59
soup cools down 0.2c in 1 seconds
so 10 seconds = 2c
in 3 minutes and 50 seconds = 49c
The temperature 49°C of soup bowl will be after 5.54 minutes
Newton law of coolingAccording to Newton's law of cooling, the rate of loss of heat from a body is directly proportional to the difference in the temperature of the body and its surroundingsThe formula is as follow:[tex](T-T_{s} )=(T_{0} -T_{s} )e^{-kt}[/tex]
What are the steps to solve this problem?Given[tex]T =[/tex] 83°C and 49°C
[tex]T_{s} =[/tex] 22°C
[tex]T_{0} =[/tex] 95°C
We have to find value of t for that first we will find value of k and applying all values in formula we get,(83-22)=(95-22)[tex]e^{-k}[/tex]
∴ k = -ln (61/73)
Now,
(49-22) = [tex]e^{ln(61/73)t}[/tex]
∴ t = [tex]\frac{ln (27/73)}{ln(61/73)}[/tex]
∴ t = 5.54 minutes
So, after 5.54 minutes temperature will be 49°C
Learn more about Newton's Law of Cooling here:
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What is the area, in square centimeters, of the trapezoid below?
8.9 cm
5.5 cm
5.5 cm
Answer:
0.4m²
Step-by-step explanation:
use the formular for tripezoid and only substitute a b and h
2.550 gallons in 30 days?
Answer:
85 gallons a day.
Step-by-step explanation:
that's if you mean 2,550 and how many gallons a day you fill a pool for example. but that's a guess for the question.
(a) 3 -10
(b) 5 - (-2)
(c) -5 +12
(d) -18 + -15
(a)-7
(b)17
(c)7
(d)-33
A recipe for pancake batter uses 2 cups of flour and makes 10 small pancakes. How many cups of flour are needed to make batter for 25 small pancakes?
Answer: 4.5 cups
Step-by-step explanation:
2:10
4:20
half of a cup would be 5 pancakes
so, 4.5 cups of flour will make 25 pancakes.
Points!
( you cant respond from the last 2 i did)
have a nice day :)
Answer:
Thank youuuu!!
x + 6 >10 or 3x + 11 ≤ −7
Answer:
x>4 or x≤-6
Step-by-step explanation:
x+6>10 or 3x+11≤-7
x>4 or 3x≤-18
x>4 or x≤-6
can anyone answer
Jessica melts 200 grams of dark chocolate that contains 60% cocoa and mixes it with 200 grams of milk chocolate that contains 30% cocoa
What is the concentration of cocoa in the resulting mixture
Yall don't like me Ima cry
Answer:
180 grams
Step-by-step explanation:
grams of dark chocolate= 200 % cocoa =60%
Grams of milk chocolate: 200 % cocoa=30%
Amount of cocoa in mixture:
(proportion of milk chocolate+ dark chocolate)
(30% of 200)+60% of 200)
(0.3* 200)+(0.6 *200)
60+120
=180 grams
Answer:
[tex]45\%[/tex]
Step-by-step explanation:
The 200g mixture of dark chocolate is 60% cocoa, meaning there are [tex]200\cdot 0.6=120[/tex] grams of cocoa in this mixture.
The 200g mixture of milk chocolate is 30% cocoa, meaning there are [tex]200\cdot 0.3=60[/tex] grams of cocoa in this mixture.
When mixed together there are a total of 200+200=400 grams of content. Of these 400 grams, 120+60=180 of them are cocoa.
Thus, the concentration of cocoa in the resulting mixture is:
[tex]\frac{180}{400}=\fbox{$45\%$}[/tex]
Which expression below has the dame
6
value as 9
9•6
9•9•9•9•9•9
96
6•6•6•6•6•6•6•6•6
thank you
if this helps
Answer: 8
Step-by-step explanation:
8/2 + 5 =9 in desmos
A 24-foot ladder leaning against a wall makes a 30 ° angle with the ground . How high up on the building is the top of the ladder ?
HELP ASAP
Answer:
[tex]12\:\mathrm{ft}[/tex]
Step-by-step explanation:
When the ladder is leaning against the wall, a 30-60-90 triangle is formed. The ladder acts as a 24-foot hypotenuse. Because the height is facing the [tex]30^{\circ}[/tex] angle, the height is half the hypotenuse (30-60-90 rules). If you forget the side rules for a 30-60-90 triangle, simply use basic trig on the right triangle:
[tex]\sin 30^{\circ}=\frac{h}{24},\\h=24\sin 30^{\circ},\\h=24\cdot \frac{1}{2},\\h=\fbox{$12\:\mathrm{ft}$}[/tex].
Help please with both of these questions :(
Samuel is going to invest in an account paying an interest rate of 5% compounded
continuously. How much would Samuel need to invest, to the nearest dollar, for the
value of the account to reach $77,000 in 9 years?
Answer:
49097
Step-by-step explanation:
Well the answer was in delta math what can I say
Answer:
$49677.4
Step-by-step explanation:
Given data
Interest rate r= 5%
Final amount A = $77,000
time t= 9 years
let us apply the compound interest formula
[tex]A=P(1+r)^t[/tex]
Substitute
[tex]77000=P(1+0.05)^9\\\\77000=P(1.05)^9\\\\77000=P*1.55[/tex]
Divide both sides by 1.55
P=77000/1.55
P=$49677.4
Hence the principal amount should be $49677.4
Can someone PLEASEEE answer this for me I really need help :(
Answer: 850
Step-by-step explanation:
if 250 miles takes 5 gallons then 7 gallons may give you about 850.
It looks like your just adding on 2 more.
Answer:
350 miles
Step-by-step explanation:
5 gallons of gas - 250 miles
7 gallons of gas - [tex]\frac{7}{5}[/tex] × 250 miles = 350 miles
What is the distance between the points (-9,5) and (8,5)
Answer:
17 units
Step-by-step explanation:
Use distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to find the distance between (-9, 5) and (8, 5):
Let,
[tex] (x_1, y_1) = (-9, 5) [/tex]
[tex] (x_2, y_2) = (8, 5) [/tex]
Plug in the values into the distance formula:
[tex] d = \sqrt{(8 - (-9))^2 + (5 - 5)^2} [/tex]
[tex] d = \sqrt{(17)^2 + (0)^2} [/tex]
[tex] d = \sqrt{(289 + 0)} [/tex]
[tex] d = \sqrt{289} [/tex]
[tex] d = 17 [/tex]
please help me with this
Answer:
0.6
Step-by-step explanation:
add 0.1 to 0.5 giving you 0.6
the rest are 0.7, 0.8, 0.9,
hope this helps! <3
how many eighths make a quarter
Answer:
Two Eighths
Step-by-step explanation:
One eighth is one part of eight equal sections. Two eighths is one quarter
what is equivalent to the expression 2/5 divided by 4
please answer this asap giving brainliest!!!
Answer:
b = 39
Step-by-step explanation:
Opposite sides of a parallelogram are congruent to each other. This implies that:
ST = VU
Therefore:
2b - 39 = b (substitution)
2b - 39 - b = 0 (subtraction property of equality)
b - 39 = 0
b = 0 + 39 (addition property of equality)
b = 39
An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 4385 feet and Plane B is at an altitude of 5000 feet. Plane A is gaining altitude at 55.5 feet per second and Plane B is gaining altitude at 45.25 feet per second.
How many seconds will pass before the planes are at the same altitude?
seconds
What will their altitude be when they're at the same altitude?
feet
Answer:
Step-by-step explanation:
xhxj
What percent of the large square is shaded?
Answer:
48%
Step-by-step explanation:
a little less than half is shaded
The percent of the shaded square will be 48%.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
A large square is shown in figure.
Now,
In a figure,
The number of small squares = 100
And, Number of shaded squares = 48
Hence, The percent of shaded square = 48/100 × 100
= 48%
Learn more about the percent visit:
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Keyshawn has a gift card with a $150 balance. He buys several video games that cost $35 each. After the purchases, his gift card balance is $45. Write an equation to help find out how many video games Keyshawn bought.
Answer:
what specifically are you asking how you would justify? Are you asking how to justify the original equation? If so, how much you spend + your new balance = original balance. Consider if you spent x dollars, your new balance is 10 dollars and your original balance was 15 dollars. Then x + 10 = 15 which means you spent x= 15 - 10 = 5 dollars. With this problem he spent 35 dollars per game so the total he spent is 35x. Since his new balance is 45 and his original balance was 150, then 35x + 45 = 150
Step-by-step explanation:
Learning Task 1: Find the percentage. Write your answer in your notebook.
1) What is 20% of 160?
2) 25% of 96 is
3) 15% of 80 is
4) What is 50% of 70?
5) What is 30% of 20
6) 75% of 40 is
7) 65% of 100 is
8) 200% of 100 is
9) What is 125% of 100?
10) What is 300% of 100?
--
Answer:
1.32%
2.24%
3. 12%
4.35%
5. 6%
6. 30%
7. 65%
8. 200%
9. 125%
10. 300%
Help full?
I need help please if you can
Answer:
i really dont know
Step-by-step explanation:
i just dont
I will give brainiest to whoever answers correctly !!
Answer:
26275
Step-by-step explanation:
if simple interest its just .017*25000 which is 1 year then multiply by 3 and add to 25000
Pls help extra points and mark Brainlist easy reading
Answer: the action of a device
Step-by-step explanation: i hope this helps!!!
Answer: Information about a process
Hope this helps!!
Please me mark brainliest
help!! geometry
jjjjjjjjjjjjj
Answer:
107
Step-by-step explanation:
Since they are congruent triangles angle B is the same as angle D.
To find D, all angles add to 180 degrees, so:
41+32+x=180
73+x=180
X=107
So angle B is 107 degrees
Which equation is NOT a linear function?
y = 17
y=-4x – 12
y = x2-2
y = 5x
I ready
Answer:
y=x^2-2
Step-by-step explanation:
this equation is not a linear function because the equation is that of a quadratic function
BRAINLIEST
Please help ASAP and leave a small explanation :)
Jenny served one scoop of ice cream to her friends using a 3/4 cup scooper. She
served herself and 4 friends ice-cream. How many total cups of ice-cream did
she serve? Your answer can be written as an improper fraction or mixed fraction
and must contain your label."
Answer:
75?
Step-by-step explanation:
1/4 = 25
25 x 3 =75
----
3/4=75
Anyone know the answer to 2? I really need answers :(
Answer:
1
Step-by-step explanation:
16 cups of water - 4 cups of paper
4 cups of water - [tex]\frac{4}{16}[/tex] × 4 cups of paper = 1 cup of paper
Answer:
1.
Step-by-step explanation:
16/4=4 and 4/4=1. 4/1 is the unit rate of 16/4. hope that helps