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, what will be the temperature be when you take the last sip 18 minutes after you poured it?
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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Please answer for 10 points. It is a word problem.
Step-by-step explanation:
here is your answer, this is how it's solved
The construction workers are constructing a line of bricks. Each brick is 8 inches long. If the line of bricks must be 24 feet long, how many bricks will the construction workers need to use?
Answer:
thhe answer would only be 3 feet
Step-by-step explanation:
Find the volume of the figure below. round if necessary.
Answer:
Step-by-step explanation:
In the 2016 Rio Olympic games, the total of gold, silver and bronze medals won by China was 70.
They won:
• 18 silver medals,
• the same number of gold medals as they did bronze medals.
How many gold medals did China win?
the hcf and lcm of 180, 150 and 315
Answer:
HCF=15 LCM=6,300
Step-by-step explanation:
Answer:
HCF = 15
LCM = 6300.
Step-by-step explanation:
Write them out as a product of their prime factors:
180 = 2*2*3*3*5
150 = 2*3*5*5
315 = 3*3*5*7
Picking out the factors common to all 3 list of prime factors:
The GCF = 3*5 = 15.
To find the LCM we pick out all the numbers except if there are repeated number we only use them once, So for example we only take 2*2 for the calculation as there is a pair of 2's in 180 and 150 factors and there is an extra 2 in 180 - so we only take 2 of the 3 2's.
LCM = 2 * 2 * 3 * 3 * 5 * 5 * 7
= 6300.
catalina spent &17.50 on 10 scrunchies. what is the unit cost?
Answer:
48
Step-by-step explanation:
20 scrunchies=3 dollars
7.25 dollars = ?
1 dollar=6.66666666
0.25 dollar=1.666666666666
7*6.66666666=46.666666
I NEED HELPPP ON THISS ONEE PLEASSEEEE
Answer:
6 , 9
Step-by-step explanation:
- 3 x - 4y = - 54
4x + 4y = 60
Eliminate => x = 6
x + y = 15
when x =6 ; => y = 9
Victoria needs $299 to purchase a music player. She earns $4.50 per hour from her neighbor
for babysitting. She has already saved $75. Which inequality bestrepresents the minimum
number of hours she will have to babysit to earn enough money to purchase the music
player?
Answer:
4.50(x)+75=299
4. One of three contestants will be randomly selected to win a prize. One of three different prizes will be randomly awarded to the contestant whose name is selected to win. The tree diagram shows all possible outcomes of this contest. Prize 1 1 Pedro Prize 2 Prize 3 Prize 1 Whitney Prize 2 Prize 3 Prize 1 Bryan Prize 2 Prize 3 What is the probability that Whitney will win Prize 2?
The probability that Whitney will win Prize 2 will be [tex]\frac{1}{9}[/tex]. Probability is the ratio of the favorable event to the total number of events.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.
Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
The total no of the contestants=3
Randomly selection of the prize-=1
The probability that Whitney will win Prize 2 will be;
[tex]\rm P= P(A)P(B) \\\\ P=\frac{1}{3} \times \frac{1}{3}\\\\ P= \frac{1}{9}[/tex]
Hence, the probability that Whitney will win Prize 2 will be [tex]\frac{1}{9}[/tex]
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Slove the inequality for u.
23> u-2
Answer:
u < 25.
Step-by-step explanation:
u - 2 < 23
Add 2 to both sides:-
u - 2 + 2 < 23 + 2
u < 23 + 2
u < 25.
Answer:
23+2>u
25>u
(25,-∞)
this is the answer
Brandon invested $41,000 in an account paying an interest rate of 3% compounded
continuously. Evan invested $41,000 in an account paying an interest rate of 37%
compounded quarterly. To the nearest dollar, how much money would Brandon have
in his account when Evan's money has doubled in value?
After 1.959 years Evan's money has doubled in value and at that time Brandon have $43,481.78 in his account.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
Let's suppose, after t time, Evan's money has doubled in value.
[tex]\rm 2P = P(1+\dfrac{0.37}{4})^{4t}[/tex]
After solving
x = 1.959 years
Use x = 1.959 years to get how much money would Brandon have.
[tex]\rm A = P e^{rt}[/tex]
[tex]\rm A = 41000\times e^{0.03\times 1.959}[/tex]
A = $43,481.78
Thus, after 1.959 years Evan's money has doubled in value and at that time Brandon have $43,481.78 in his account.
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What is the solution to this equation?
a/6-11=25
Answer:
a=216
Step-by-step explanation:
The radius of a cylinder is 6.0 inches and the height is 9.0 inches, what is the volume of the cylinder? if the cylinder is enlarged by a linear scale factor of 3, what is the volume of the enlarged cylinder?
Answer:
A) The volume of the cylinder is 1017.9 in³.
B) The volume of the enlarged cylinder is 27,482.7 in³.
Step-by-step explanation:
What is the volume of the cylinder?The radius of the cylinder is r = 6 in and the height is h = 9 in.
The volume of a cylinder can be found using the formula:
V = πr²hSubstitute r = 6 and h = 9 into the formula.
V = π(6)²(9)V = π(36)(9)V = π(324)V = 1017.876The volume of the cylinder is 1017.876 in³.
What is the volume of the enlarged cylinder?If the cylinder is enlarged by a factor of 3, this means that each dimension is getting increased by 3.
Therefore, we need to multiply the original volume by a factor of three cubed; 3³.
V_enlarged = V · 3³V_enlarged = 1017.876 · 27 = 27482.652 in³The volume of the enlarged cylinder is 27,482.652 in³.
Summer school classes begin at 8:30 and last for two and a half hours. At what time
the classes end?
Answer:it ends at 11:00
Step-by-step explanation:8:30+2:30=11:00
Answer:
11:00
Step-by-step explanation:
8:30 + half an hour = 9:00
9:00 + 2 hours = 11:00
Explain how to use a protractor to find the measure of angle RTV.
Answer:
How to measure an angle with a protractor:
Place the midpoint of the protractor on the VERTEX of the angle.
Line up one side of the angle with the zero line of the protractor (where you see the number 0).
Read the degrees where the other side crosses the number scale.
Step-by-step explanation:
you can use a protractor to measure and draw angles. To measure angles with a protractor, first place the center point along the bottom edge of the protractor over the vertex of the angle you're measuring. Line up the bottom edge of the protractor with one leg of the angle.
4/7
of a number is 36
What is the number?
[tex]\text{If the number is x,}\\\\~~~~~\dfrac 47 \cdot x =36\\\\\implies 4x = 36 \times 7\\\\\implies x =\dfrac{36 \times 7}4\\ \\\implies x = 9 \times 7\\\\\implies x = 63\\\\\text{Hence, the number is 63.}[/tex]
Answer:
[tex]\huge\boxed{\bf\:x = 63}[/tex]
Step-by-step explanation:
Given,
4/7th of a number = 36Let's take the unknown number as 'x'.
Now,
4/7 × x = 36
Take the reciprocal of 4/7 to the other side of the equation .
x = 36 × 7/4
Cancel 36 by 4.
x = 9 × 7
Multiply the 2 numbers
x = 63
[tex]\rule{150pt}{2pt}[/tex]
what is the equation of the parabola?
a- y= -1/8(x+3)^2 +2
b- y=1/8(x-3)^2-2
c-y=1/8(x+2)^2+3
d-y=-1/8(x-2)^2-3
WILL GIVE BRAINLIEST
Answer:
D. y = -1/8(x-2)² - 3
Step-by-step explanation:
General eqaution of a parabola : y = a(x-h)² + k where (h,k) is the vertex and a determines whether the parabola goes up or down as well as the width of the parabola
step 1 identify vertex
the vertex is the point that starts the curve
the vertex appears to be at (2,-3)
step 2 plug in h and k using the x and y values of the vertex
again we have y = a(x-h)² + k where (h,k) is the vertex
here the vertex is (2,-3) so h = 2 and k = -3
we get y = a(x-2)² - 3
because the curve goes down a must be negative 1/8
so the final equation would be y = -1/8(x-2)² - 3 meaning D would be the answer
Please write the solution
Answer:
D .
Step-by-step explanation:
that is the answer to the question
what is the answer to
-(-4x-7)+x=-4
Answer:
-128
Step-by-step explanation:
hope it helps srry if its wroung:>
What value of c makes 3x²+24x+c contain a perfect square trinomial? Is there an equation to find it or is it just guess and check?
you and your mom enter drawing with three different prices the prizes are awarded at random is a total of 8 people entered the drawing and how many ways can you win first prize and your mom went second prize
The number of ways in which you can win first prize and your mom went the second prize will be 8. Then the correct option is D.
What are permutation and combination?A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
You and your mom enter the drawing with three different prices the prizes are awarded at random is a total of 8 people entered the drawing.
Then the number of the ways in which you can win first prize and your mom went the second prize will be
Let x be the number of different ways.
Then we have
[tex]\rm x = \ ^8C_1\\\\x = 8[/tex]
Thus, the number of ways in which you can win first prize and your mom went the second prize will be 8.
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=
Interim Checkpoint: Grade 7 Checkpoint 4 - Part 1
Write an equation that you can use to solve for X.
Enter your answer in the box.
100°
60
60 is the amazing cool answer XD
Factor completely 3x – 15.
3(x - 5)
3(x + 5)
3x(-15)
Prime
Answer:
A. 3(x-5)
Step-by-step explanation:
USE M-A-T-H-W-A-Y
Step-by-step explanation:
[tex]3x - 15[/tex]
Bind the expression with the common factor three .
3 ( x - 5 )
Which represents the area of the shaded region?
area of the circle – area of the square – area of the triangle
area of the triangle – area of the square + area of the circle
area of the triangle + area of the square + area of the circle
area of the circle – area of the triangle + area of the square
The area of the shaded region is Area of the Circle - Area of the Triangle + Area of the Square.
Hence, option D) is the correct answer.
What is the representation of the area of the shaded region?From the diagram below;
A triangle is inscribed in a circleA Square is inscribe in a triangle.Only the the circle and square are shaded.To get the shaded region, we say;
Area of the Circle - Area of the Triangle + Area of the Square.
The area of the shaded region is Area of the Circle - Area of the Triangle + Area of the Square.
Hence, option D) is the correct answer.
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NEED HELP SHOW WORK WILL GIVE BRAINLYEST
15 in
18 in
14 in
11 In
22 in
I need help on bottom three please
The expression below represents the perimeter, in feet, of Manual’s garden.
15 + 2x + 7 + 15 + 2x + 7
Use exactly two terms to write an equivalent expression to represent the perimeter, in feet, of Manual’s garden.
The area, measured in square feet, of Manual’s garden is found by calculating 15(2x + 7). Manual incorrectly says the area can also be found using the expression 30x + 7.
Describe the error in Manual’s expression. Also, find the difference, in square feet, between the actual area of Manual’s garden and the area found using his expression as a part of your explanation.
Manual’s friend Sasha designs a square garden. Each side measures 3x + 5 in length.
The perimeter of Sasha’s garden is how much larger than the perimeter of Manual’s garden?
a) Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7
b) The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as 98 square feet
What is the perimeter?The perimeter is defined as the sum of all the sides of the figure. Now we have The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.
The correct area =15(2x + 7).
= 30x + 105 square feet
The error in Shawn’s expression is
= 15(2x + 7)
= 30x + 7 square feet
Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7
The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as
30x + 105 square feet - 30x + 7 square feet
= 30x + 105 - (30x + 7)
= 30x - 30x + 105 - 7
= 98 square feet
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6)
5ft
3ft.
14ft
8 ft
I need the surface area someone help me
Answer:
258ft squared is possibly the answer
Question 8 of 10
If you vertically compress the absolute value parent function, f(x) = 1x1, by a
factor of 3, what is the equation of the new function?
A. g(x) = |3|
B. g(x) = 3|4|
O C. g(x) = |x - 3|
D. g(x) = 1/3|x|
Answer:
your answer should be c
Step-by-step explanation:
5 star?
If you vertically compress the absolute value parent function, f(x) = 1x1, by a factor of 3 then the equation of the new function is g(x) = (1/3)|x|
What is a function?A relation is a function if it has only One y-value for each x-value.
The absolute value function, f(x) = |x|, has a "V" shape with the vertex at (0, 0).
f(x) can also be called as parent function.
A parent function is the simplest function that still satisfies the definition of a certain type of function
When we vertically compress the graph by a factor of 3, we are multiplying the y-value by 1/3.
So the new function g(x) can be expressed as:
g(x) = (1/3) f(x)
g(x) = (1/3)|x|
Hence, if you vertically compress the absolute value parent function, f(x) = 1x1, by a factor of 3 then the equation of the new function is g(x) = (1/3)|x|
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