Find the time required for an object to cool from 280°F to 220°F by evaluating the following where t is time in minutes. (Round your answer to four decimal places.) *280 t= 10 In 2 1 dT T – 100 min
9514 1404 393
Answer:
5.8496 min
Step-by-step explanation:
[tex]\displaystyle t=\frac{10}{\ln{2}}\int_{220}^{280}{\frac{1}{T-100}}\,dT=\frac{10(\ln{(280-100)}-\ln{(220-100)})}{\ln{2}}=\frac{10\ln{(3/2)}}{\ln{2}}\\\\\boxed{t\approx5.8496\quad\text{min}}[/tex]
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Modern calculators can perform integration with high accuracy. This one gives the same result.
Which expression represents 3/8 less than 7/8 of a number?
Please help ASAP!!!!!
Answer:
First term of the given series = 4
The last term of the given series = 11
Step-by-step explanation:
Explanation
Given that the sum of the series
∑⁸ₙ₋₁ (n+3)
The [tex]n^{th}[/tex] term of the given sequence
aₙ = (n+3)
Put n=1
a₁ = 1+3 = 4
Put n=2
a₂ = 2+3 =5
Put n=3
a₃ = 3+3 = 6
Put n=4
a₄ = 4+3 =7
Put n=5
a₅ = 5+3 =8
Put n=6
a₆ = 6+3 =9
Put n=7
a₇ = 7+3 = 10
Put n=8
a₈ = 8+3 =11
The sequence of the given series
4,5,6,7,8,9,10,11
Final answer:-
First term of the given series = 4
The last term of the given series = 11
PLS HELP!!!
PLSSSSS!!!!
Answer: x=12dm
Step-by-step explanation:
c=13 means hypotenous
a=5 means altitude
b=x=? means base
By pythagorean theorem
c^2=a^2+b^2
(13)^2=(5)^2+(x)^2
169=25+x^2
x^2=169-25
x^2=144
Taking sqrt on both sides
x=12
How do you know when to use the less than symbol and when to use the less than or equal to symbol when writing an inequality for a situation?
Answer:
This depends on the situation. For context, you use less than when your inequality CANNOT exceed more than.
You would use less than or equal to if your inequality can be equal to a number. Here's an example.
John needs to buy X oranges and Y apples. He can AT MOST buy 10 total fruits.
x + y (equal to or less than) 45
John needs to buy X oranges and Y apples. He CANNOT buy more than 10 total fruits.
x + y < 45
The diagonals of a rectangle are parallel?
true or false
helpp me plzzz
Answer:
No, the diagonals of a rectangle are not parallel.
In fact, they intersect at a point, so that means it is impossible for them to be parallel.
So, the statement is false9 is what percent of 45?
Answer:
20
Step-by-step explanation:
Edgenuitu
Which expression has a value of 39?
A 24 X 2 - 8 + 42 divided by 8 - 6
B 24 X 2 - 8 + 42 divided by (8 - 6)
C 24 X (2 + 8) + 42 divided by 8 - 6
D 24 X 2 - (8 + 42) divided by 8 - 6
Answer:
A
Step-by-step explanation:
48 - 8 +5.25-6 = 39.25
b 48 -8 + 21 = 61
c 240+5.25-6= 239.25
d 48 -50/8 - 6 = 35.75
Just really need a answer to this Savvas question!
Answer:
Solution given:
radius=r=2cm
height=h=9cm
Volume of cone =⅓πr²h=⅓×π×2²×9=36π0r 113.1cm³
The required volume is 36π0r 113.1cm³
If the outside diameter of a pipe is 1.275 feet and the inside diameter is 0.975 feet how thick is the pipe
Answer:
2.250 feet thick
Step-by-step explanation:
hope it helps mark as brainliest
Answer:
Step-by-step explanation:
The outside diameter minus the inside diameter would leave a difference of TWICE the thickness of the pipe, so divide the difference by 2
Pipe Thickness = (OD - ID) / 2
= (1.275 - 0.975) / 2
= 0.3 / 2
= 0.15 feet
(ASAP I HAVE 20 MINS LEFT) The surface area of the rectangular prism is _____in2 and the volume is ____in3
Answer:
1)1920 in2 (2)120 in3
Step-by-step explanation:
equivalent equation for 3:7
Answer:
Hay fracciones infinitas equivalentes a 3
7
. Vea algunos ejemplos:
3
7
, 6
14
, 9
21
, 12
28
, 15
35
, 18
42
, 21
49
, 24
56
, 27
63
, 30
70
, 33
77
, 36
84
, 39
91
, 42
98
, 45
105
, 48
112
, 51
119
, 54
126
, 57
133
, 60
140
...
Lista más fácil de copiar y pegar:
3/7, 6/14, 9/21, 12/28, 15/35, 18/42, 21/49, 24/56, 27/63, 30/70, 33/77, 36/84, 39/91, 42/98, 45/105, 48/112, 51/119, 54/126, 57/133, 60/140 ...
Step-by-step explanation:
Answer: Hello, There! your Answer is Below
6:14
Step-by-step explanation:
Equivalent equations are algebraic equations that have identical solutions or roots. Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation. Multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.
Hope this Helps!!
Plz explain your Question Better.
The area of a square lawn is 100 square yards. How long is each side of the lawn?
Answer:
25
Step-by-step explanation:
a square has 4 sides.
100/4=25
Select all possible solutions for 2x + 7 ≤ 3x - 5.
Answer:
12 ≤ x
Step-by-step explanation:
2x+7 ≤ 3x-5
7+5 ≤ 3x-2x
12 ≤ x
Simplify: -4g(8g + 5)
Answer:
−32^2−20
Step-by-step explanation:
A square has side length 3 units. What is the length of the diagonal?
9514 1404 393
Answer:
C. 3√2 units
Step-by-step explanation:
The diagonal of a square is √2 times the side length. For a square with side length 3, the diagonal is 3√2.
__
If you like, you can see this using the Pythagorean theorem.
d² = s² + s² . . . . . where d is the diagonal, and s is the side
d² = 2s²
d = √(2s²) = s√2
For s=3, ...
d = 3√2
Pls help mark brainlist
Answer:
176
Step-by-step explanation:
88 * 2 = 176
Please help I forgot how to do this
Answer:
56.
Step-by-step explanation:
Formula for solving a triangle is 1/2 * base * height.
Their speed on the BOARDWALK is 5 feet per second.
Their speed on the SAND is 3 feet per second.
The dimensions are shown in the image.
Determine the amount of time it will take for Daniel and
for Brandon to get to the taco truck.
Use paper and/or a calculator as necessary,
Answer:
Daniel = 207 | Brandon = 196.2
Step-by-step explanation:
Brandon will reach the taco truck first.
• Daniel's time can be found by using the expression 327.6/3 + 489/5, which is 207 seconds.
• Brandon's time can be found by using the expression
327.6^+489^2/3 [Sqaured]
The time taken by Brandon will be 196.2 seconds while Daniel will be 207 seconds.
What is a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
In a triangle, the sum of all three angles is 180°.
⊕ Time is taken by Brandon ;
01) Time taken in sand
Time = 327.6/3 = 109.2 seconds.
02) Time is taken on the boardwalk
Time = 489/5 = 97.8 seconds.
Total time taken by Brandon = 109.2 + 97.8 = 207 seconds.
⊕ Time is taken by Daniel;
By Pythagoras theorem
Distance by Daniel = √(327.6² + 489² ) = 588.60 feets.
Time = 588.60/3 = 196.2 seconds.
So the time taken by Brandon will be 207 seconds and Daniel will be 196.2 seconds.
For more information about triangle
https://brainly.com/question/2773823
#SPJ5
If p(x) = (2x – 7)(7x + 2), what are the zeros of the polynomial?
Answer:
x=7/2 and x=-2/7
Step-by-step explanation:
By the Zero Product Property, we will set both expressions equal to 0 and solve:
p(x) = (2x-7)(7x+2)
0 = (2x-7)(7x+2)
2x-7=0 and 7x+2=0
2x=7 and 7x=-2
x=7/2 and x=-2/7
The factors of the polynomial are (2x – 7) and (7x + 2). Then the zeroes will be 7/2 and negative 2/7.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The polynomial is given below.
p(x) = (2x – 7)(7x + 2)
Then the zeroes of the polynomial will be
The factor of the polynomial is already given. Then the zeroes will be
x = 7/2, -2/7
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ2
What is the area of the shaded segment shown? Round your answer to the nearest tenth please help me solve this
Answer:
0.3 in²
Step-by-step explanation:
This picture is NOT to scale. That 20° Angle looks more like 70°.
Area of the circle = 81pi = 254.469
20/360 of the circle = 1/18 = 14.137
Area of triangle = 13.851
14.137-13.851= 0.3 in²
A scuba diver descended 20 1/5 feet below sea level. Then, he descended another 3/ 1/5 feet. Which of the following is true about the scuba diver after both descents?
A.
The location of the scuba diver in relation to sea level was feet.
B.
The location of the scuba diver in relation to sea level was feet.
C.
The location of the scuba diver in relation to sea level was feet.
D.
The location of the scuba diver in relation to sea level was feet.
Answer:
A, B, C, and D
Step-by-step explanation:
all answer choices are the same
Find the value of x. Round to the nearest tenth.
Answer:
x=13.584
Step-by-step explanation:
[tex] \frac{x}{ \sin(51) } = \frac{11}{ \sin(39) } \\ [/tex]
[tex]x = 13.584[/tex]
[tex]180 - 39 - 90 = 51[/tex]
PLEASE HELP
What is the measure of n?
m
n
44
11
n
[?]
Enter
WILL GIVE BRAINLIEST
Answer:
I believe n=2
Step-by-step explanation:
44 divided by 11 = 4, then there is M and N so divided by 2 equals 2
Answer:
22
Step-by-step explanation:
^^
$61.60 for parts and labor rate is $30.00 per hour total cost 136.60 how many hours will.the job take
Answer: 5
Step-by-step explanation:
How many community service hours are students required to work? Explain.
Use slopes and y-intercepts to determine if the lines 6x+y=−1 and −2x−5y=1 are parallel.
Answer:
The two lines are not parallel.
Step-by-step explanation:
Every linear equation follows this structure:
y = mx + b
y is the y value
x is the x value
m is the gradient/slope of the line
b (or sometimes c) is the y-intercept of the line
Firstly, we have to get the y term on one side by itself.
6x + y = -1
-6x -6x
y = -6x - 1
-2x -5y = 1
+2x +2x
-5y = 2x + 1
Secondly, we make it so the y term is just the y value.
The first equation is already like this, so we don't need to do anything to that.
-5y = 2x + 1
÷ -5 ÷ -5
y = (2x + 1) / -5
This can be expanded and simplified to:
y = -2/5x - 1/5
Thirdly, we have to compare the slopes and y-intercepts.
y = -6x - 1
y = 2/5x - 1/5
If the slopes are the same and the y-intercepts are different, they are parallel. However, the slopes are different, therefore they are not parallel.
Ok. Keleiek 2/7=^++^*€€£|€|£|
Answer:
pardon?
Step-by-step explanation:
Find the surface area of the net below.
Step-by-step explanation:
Area of 4 triangles = 1/2 x base x height
[tex] =4 \times \frac{1}{2} \times 7 \times 5 \\ = 2 \times 7 \times 5 \\ = 14 \times 5 \\ = 70 {m}^{2} [/tex]
Area of middle square = Length x Width
[tex] = 7 \times 7 \\ = 49 {m}^{2} [/tex]
Surface Area = Area of 4 triangles + Area of middle square =
[tex]70 + 49 \\ = 139 {m}^{2} [/tex]
What is the area of this circle in square inches? Use 3.14 for n. Round your answer to the nearest tenth.
the radio is 14
help pleasee
Answer: 615.4
Step-by-step explanation:
[tex]A=\pi r^{2}[/tex]
if the radius is 14
[tex]A=\pi 14^{2} \\A=196\pi \\A=196(3.14)\\A=615.44\\[/tex]
Answer:
615.4
Step-by-step explanation:
Area= 3.14x14²
Area= 615.4
Hope this helps!! have an Amazing day!!