Answer: [tex]\dfrac{dT(t)}{dt}=77\times (450-T)[/tex]
Step-by-step explanation:
Given
The temperature of the liquid is [tex]75^{\circ}F[/tex] placed in an oven with temperature of [tex]450^{\circ}F[/tex].
Initially difference in temperature of the two
[tex]\Delta T=450-75\\\Rightarrow \Delta T=375^{\circ}F[/tex]
According to the question
[tex]\Rightarrow \dfrac{dT(t)}{dt}=77\cdot \Delta T\\\\\Rightarrow \dfrac{dT(t)}{dt}=77\times (450-T)\quad [\text{T=75}^{\circ}F\ \text{at t=0}][/tex]
Evaluate the function graphically. Find (-6)
Answer:
5
Step-by-step explanation:
just see where x=-6
What’s the answer to this answer fast please
Answer:
Hello! answer: 25
Step-by-step explanation:
24 × 24 = 576
7 × 7 = 49
576 + 49 = 625
√625 = 25
25 × 25 = 625 therefore. the hypotenuse is 25 hope that helps!
A bag contains 6 blue coins and 7 red coins. A coin is removed at random and replaced by three of the other color.
Part 1 out of 3
What is the probability that the removed coin is blue? Enter your answer as a simplified fraction.
The probability that the removed coin is blue is ———
What is the missing number?
3
8
-2
7
4
5
1
10 12 3
The missing number is...
Answer:
9
Step-by-step explanation:
10-7=3
12-4=8
3-5=-2
9-1=8
Hope this helped :)
which statement corresponds to the conjunction x > -5 and x < 14
Answer:
-5 < x < 14
Step-by-step explanation:
-5 < x < 14
hope it is helpful to you ☺️
Use trigonometric ratios to solve each right triangle. Be sure to rationalize the denominators when you write your answers.
Answer:
[tex]sin(45)=\frac{AC}{AB} =\frac{AC}{12} \\AC=12\times sin(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}\\ cos(45)=\frac{CB}{AB} =\frac{CB}{12} \\CB=12\times cos(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}[/tex]
Step-by-step explanation:
[tex]sin(45)=\frac{AC}{AB} =\frac{AC}{12} \\AC=12\times sin(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}\\ cos(45)=\frac{CB}{AB} =\frac{CB}{12} \\CB=12\times cos(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}[/tex]
Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$300and $350
Answer:
2.35
Step-by-step explanation:
Two cube-shaped boxes are stacked one above the other. The volume of one box is 512 cubic meters, and the volume of the other box is 216 cubic meters.
Answer:
Ummm. There's no question
Step-by-step explanation:
Of the 85 learners that packed a lunch for the field trip, 60 have an apple in their lunch and 75 have an orange. All of the learners have at least one apple or orange in their lunch.
What is the probability that a learner chosen at random from the field trip has an orange but not an apple?
Using it's concept, it is found that there is a 0.1765 = 17.65% probability that a learner chosen at random from the field trip has an orange but not an apple.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, of the 85 learners, 75 - 60 = 15 have an orange but not an apple, hence the probability is given by:
p = 15/85 = 0.1765.
0.1765 = 17.65% probability that a learner chosen at random from the field trip has an orange but not an apple.
More can be learned about probabilities at https://brainly.com/question/14398287
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How can you compare properties of two functions each represented in a different way?
Step-by-step explanation:
there are three ways to compare functions that is Madhavi Kali numerically and graphically latest compared to function numerical letters considered an example of y equals to 3 X + 5 in this example why is a dependent of ex so in other words if we keep on sending the value of x then why will increase as well
Suppose the speeds of cars along a stretch of I-40 is normally distributed with a mean of 70 mph and standard deviation of 5 mph. Use the 68-95-99.7 rule to answer the following questions.
(a) Approximately what percent of cars are travelling between 65 and 75 mph? percent
(b) If the speed limit on this stretch of highway is 65 mph, approximately what percent of cars are traveling faster than the speed limit? percent
(c) What percent of cars are traveling at a speed greater than or equal to 80 mph? (Answer to one decimal place.)
(d) What percent of cars are traveling at a speed greater than 80 mph? (Answer to one decimal place.) percent
(e) 95% of cars are traveling between what two speeds? (Answer to two decimal places) Between mph and mph
Answer:
a) 68%.
b) 84%.
c) Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.
d) Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.
e) Between 60 mph and 80 mph.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 70 mph, standard deviation of 5 mph.
(a) Approximately what percent of cars are travelling between 65 and 75 mph?
70 - 5 = 65
70 + 5 = 75
Within 1 standard deviation, so approximately 68%.
(b) If the speed limit on this stretch of highway is 65 mph, approximately what percent of cars are traveling faster than the speed limit?
The normal distribution is symmetric, which means that 50% of the measures are below the mean, and 50% are above.
65 is one standard deviation below the mean, so of the cars below the mean, 68% are above 65 mph.
0.68*50% + 50% = 34% + 50% = 84%.
84%.
(c) What percent of cars are traveling at a speed greater than or equal to 80 mph?
80 = 70 + 2*10
2 standard deviations above the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean. Due to the symmetry of the normal distribution, of the other 5%, 2.5% is at least 2 standard deviations below the mean and 2.5% is at least 2 standard deviations above the mean. Then:
Approximately 2.5% of cars are traveling at a speed greater than or equal to 80 mph.
(d) What percent of cars are traveling at a speed greater than 80 mph?
Same as item c, as in the normal distribution, the probability of an exact value is considered to be 0.
(e) 95% of cars are traveling between what two speeds?
Within two standard deviations of the mean.
70 - 2*5 = 60 mph
70 + 2*5 = 80 mph.
Between 60 mph and 80 mph.
Please help me I beg you, I don’t understand and no one wants to help
Answers:
x = 51
y = 39
===========================================================
Explanation:
The angles 39 and x form a right angle, aka 90 degree angle. This is shown by the small square angle marker.
One equation to solve is x+39 = 90. Doing so leads to x = 51 after subtracting 39 from both sides.
Similarly, another equation to solve is x+y = 90. Plug in x = 51 and isolate y
x+y = 90
51+y = 90
y = 90-51
y = 39
7. Identify the appropriate mixed number for the picture shown.
A. 172
B. 214
C.212
D.3
Mark for review (Will be highlighted on the review page)
Answer:
it's 2 1/2
Step-by-step explanation:
Because 2 box are shade in and the last box is half shade
In the accompanying figure, the measure of minor arc AB is 100. Find the measure of inscribed angle ACB.
Show the work please !
9514 1404 393
Answer:
50°
Step-by-step explanation:
The measure of an inscribed angle is half the measure of the arc it intercepts.
∠ACB = 1/2 arc AB = (100°)/2
∠ACB = 50°
Is this a function?
9514 1404 393
Answer:
no
Step-by-step explanation:
For the graph to represent a function, no vertical line may intersect it in more than one place. This graph does not pass the "vertical line test" so does not represent a function.
Simplify the expression:
4g+1+10g+8g
Answer:
22g+1
Step-by-step explanation:
collect like terms
22g+1
Answer:22g+1
Step-by-step explanation:
hhhheeeeellllllpppp no 13 and 14
Answer:
13. B. 24 cm²
14. y = 5⅝ (none of the options is correct)
Step-by-step explanation:
13. The figure is a trapezoid
Area of the trapezoid = ½(a + b)h
Where,
a = 3 cm
b = 5 cm
h = 6 cm
Area = ½(3 + 5)6
= ½(8)6
= 4*6
= 24 cm²
14. Area of the triangle = ½*b*h
The area is given to be 45 cm²
base (b) = 16 cm
height (h) = y
Plug in the values and solve for y
45 = ½*16*y
45 = 8y
Divide both sides by 8
45/8 = 8y/8
45/8 = y
5⅝ = y
y = 5⅝ (none of the options is correct)
Chase is 7 years older than Zoe. In 4 years the sum of their ages will be 41. How old is chase now?
Answer:
Chase would be 24 years old
what is the slope of a line perpendicular to 3x+2y = 7?
Answer:
2/3
Step-by-step explanation:
First find the slope of the line
3x+2y = 7
Subtract 3x
2y = -3x+7
Divide by 2
y = -3/2x +7/2
This is in slope intercept form y = mx+b where m is the slope
The slope is -3/2
A line perpendicular is the negative reciprocal
-1/(-3/2)
2/3
The slope of the perpendicular line is 2/3
Answer:
Slope of the line perpendicular to the given line = 2/3
Step-by-step explanation:
The product of the slopes of lines perpendicular to each other is - 1
That is,
[tex]slope_{1} \times slope _ 2 = - 1\\[/tex]
Given equation of the line :
3x + 2y = 7
2y = - 3x + 7
[tex]y = -\frac{3}{2}x + \frac{7}{2}[/tex]
[tex]Therefore, \ slope \ of \ the \ given \ line \ , slope _1 = \ -\frac{3}{2}[/tex]
Find slope of the line perpendicular to the given line:
[tex]\frac{-3}{2} \times slope_2 = - 1\\\\slope_2 = - 1 \times \frac{2}{-3} = \frac{2}{3}[/tex]
What is mŁA?
85°
A
145°
Answer:
Ans: 50 degrees.
Step-by-step explanation:
We know, a straight angle is 180 degrees. Also, the sum of the three angles of any triangle is equal to 180 degrees.
So,
(180-85) = 95,
(180-145) = 35,
A = (180-95-35) = 50.
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Answer:
the answer is 31°...........
Find a counterexample. Any four sided polygon is a square
Answer:
Trapezoid or rectangle
Step-by-step explanation:
Squares have 2 parallel sides, trapezoids have at least one, so some trapezoids have only one parallel side meaning that only some trapezoids are squares not all. Rectangles width and height are different unlike squares whose width and height are the same, all 4 sides of a square are the same.
In Rosewood City, the library is 6.5 miles fue south of the courthouse and 3.4 miles due west of the community swimming pool. What is the distance between the courthouse amd the community swimming pool?
If necessary, round your answer to the nearest tenth.
Answer:
7.3 miles
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
3.4^2 + 6.5^2 = h^2
11.56+42.25=h^2
53.81= h^2
Taking the square root of each side
sqrt(53.81) = sqrt(h^2)
7.335529974=h
Rounding to the nearest tenth
7.3 =h
GIVING OUT BRAINLIEST HELP ME OUT PLEASEE!!!
Answer:
20.9
Step-by-step explanation:
Circumference = 10 * 2 * pi = 62,831853
lenght of the arc
62,831853 : 360 = x : 120
x = (62,831853 * 120)/360 = 20.9
25/22 as a decimal rounded to the nearest hundredths
Answer:
Hi there!
Step-by-step explanation:
First thing we have to do is make 25/22 a proper fraction. That is 1 3/22. This converted to a decimal is 1.1(36) or, rounded to the nearest hundredth, that is 1.1 :)
Hope you enjoy!
Can you help me plisss:(
Step-by-step explanation:
x = (7±√193)/18
The length of a rectangle is 6 more than the width. The area is 55 square inches. Find the dimension
Answer:
w = 5 inches
l = 11 inches
Step-by-step explanation:
The functions f(x) and g(x) are shown on the graph.
f(x) = 11
What is g(x)?
10
у
g(x) = ?
f(x) = [X]
10
-5
10
-5
-10
A. g(x) = 1 1 - 3
B. g(x) = (x+31
C. g(x) = \x{ + 3
D. g(x) = 1x - 31
The function g(x) is g(x) = Ix + 3I.
The correct option is B.
What is transformation on the graphs?The function provided by the basic function f(x) and the constant
g(x) = f(x - k),
horizontally moving the f(x) k unit coordinates may be drawn.
The shift's direction depends on the value of k. Specifically,
The base graph moves k units to the right if k > 0, and
The base graph moves k units to the left if k < 0.
Given that the parent function is f(x) = IxI.
From the definition,
the transformed function is moved horizontally to 3 units to the right.
So, the function is g(x) = Ix + 3I.
Therefore, g(x) = Ix + 3I.
To learn more about the transformation on the graphs;
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What is the volume in milliliters of 7.06 g of acetone?
Express your answer to three significant figures and include the appropriate units.
Answer:
V = 9 mL
Step-by-step explanation:
Given that,
The mass of acetone, m = 7.06 g
The density of acetone, d = 0.784 g/cm³
We need to find the volume of 7.06 g of acetone.
We know that,
Density = mass/volume
[tex]V=\dfrac{m}{d}\\\\V=\dfrac{7.06\ g}{0.784\ g/cm^3}\\\\V=9\ cm^3[/tex]
or
V = 9 mL
So, the required volume is 9 mL.
Which expression is equivalent to (2g^5)^3/(4h^2)^3
Answer:
g^15/8h^6 is the simplified version of the equation which also equals the same thing :)
Answer:
The answer is A
Step-by-step explanation: