Answer: 17.47 minutes
Step-by-step explanation:
To find the number of minutes it will take for the stew to cool to a temperature of 30°C, solve the given nonlinear equation or graph it to find the intersection point.
Explanation:The given function that models the relationship between the elapsed time, m, in minutes, and the temperature of the stew, T(m), is:
T(m) = 20 + 50 - 10^(-0.0477m)
To find the number of minutes it will take for the stew to cool to a temperature of 30°C, we need to solve the equation:
30 = 20 + 50 - 10^(-0.0477m)
By isolating the unknown variable, m, we can solve for it using logarithms or graphing. However, since the equation is nonlinear, graphing is a more intuitive approach. Graph the equation and find the x-coordinate at which the graph intersects with the y-coordinate 30. This value of m will give you the number of minutes it will take for the stew to cool to 30°C.
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Look at points C and D on the graph
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth
3.00
3.46
4.24
6.00
Answer:
4.24
Step-by-step explanation:
you should use the pythagorean theorem to solve this!
a^2 + b ^2 = c^2
3^2 + 3^2 = c^2 (i got 3 because it goes down three, and over three)
9 + 9 = c^2
18 = c^2
the square root of 18 is 4.24
therefore, the distance between C and D is 4.24.
hope this helps! :)
Answer: 3.00
Step-by-step explanation:
The point between 0-3 is 3 points
Which sequence of transformations will verify that △EFG and △E'F'G' are congruent? A) △EFG is moved onto △E'F'G' after rotating 180° counterclockwise around the origin, and then reflecting across the x-axis. B) △EFG is moved onto △E'F'G' after rotating 180° counterclockwise around the origin, and then reflecting across the y-axis. C) △EFG is moved onto △E'F'G' after rotating 270° counterclockwise around the origin, and then reflecting across the x-axis. D) △EFG is moved onto △E'F'G' after rotating 270° counterclockwise around the origin, and then reflecting across the y-axis.
pls HELP
Answer:
C) △EFG is moved onto △E'F'G' after rotating 270 degrees counterclockwise around the origin, and then reflecting across the x-axis
Step-by-step explanation:
Brainliest answer here.
Above is right also.
Hope this helps :)
The sequence of transformations will verify that △EFG and △E'F'G' are congruent is; C) △EFG is moved onto △E'F'G' after rotating 270 degrees counterclockwise around the origin, and then reflecting across the x-axis
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs), etc.
For triangle △EFG and △E'F'G' to be congruent, we must first rotate 180° counterclockwise around the origin and then move EFG onto E'F'G'H'.
This proof of congruency is reflected across the y-axis.
The sequence of transformations will verify that △EFG and △E'F'G' are congruent is;
C) △EFG is moved onto △E'F'G' after rotating 270 degrees counterclockwise around the origin, and then reflecting across the x-axis
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Xerxes, Murray, Stav, Zeke, Cam, and Georgia are invited to a dinner party. They arrive in a random order and all arrive at different times. What is the probability that Xeres arrives first?
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
There are "6" people in total.
They can come at any place and at any time. All of them have equal chances of arriving at any place.
Similarly,
Everyone has the same chances of coming first.
Hence, the probability of Xerxes coming first is 1 out of 6 people
Hence,
Probability (Xerxes coming first) = 1/6
The answer is [tex]\frac{1}{6}[/tex]
Currently, you have made a
75, 83, and a 78 on your tests in
math. What do you need to
make on the next test in order to
get an average of an 80?
Answer:
84
Step-by-step explanation:
4 test grades with an average of 80 would have a total of 80x4=320.
75+83+78=236
320-236=84
plsss help asap it would meannn alotttt
plss and tyyy
Answer:
Bottom left graph
Step-by-step explanation:
Since the y-coordinates are the same, but the x-coordinates are opposites, it is a reflection across the y axis.
Therefore, the bottom left graph is correct.
Answer: The Bottom Left Graph
Step-by-step explanation:
The Y coordinates are the same number, therefore, when you find the coordinates of the points, the y must be equal, making them the same height on a graph. The X coordinates on the graph must be opposites, therefore, the two dots have to be equidistant from the Y axis. The only graph that has two dots at the same height and is equidistant from the Y axis is the graph at the bottom Left Corner.
a cone has a radius of 2.5 and a height of 10 what is the volume
Answer:
V= pi.r².h/3
=22/7×2.5²×10/3
=65.47
Step-by-step explanation:
what is 2 1/8 take away 1/2
The equation is [tex]2\frac{1}{8} - \frac{1}{2}[/tex] .
1/2 is equivalent to 4/8, and 2 1/8 is equal to 17/8. (two full sets of 8 + 1 = 8 + 8 + 1, or 17)
The new equation is [tex]\frac{17}{8} -\frac{4}{8}[/tex] . Subtract the numerators.
17 - 4 = 13 or 13/8
The improper fraction [tex]\frac{13}{8}[/tex] simplifies to [tex]1\frac{5}{8}[/tex] .
Answer:[tex]1\frac{5}{8}[/tex]
Hope this helps :)
A box is known to hold exactly 125 in3. Which side dimensions produce the most accurate measurement of the box?
A)
4.9 x 5.1 x 5.0
B)
4.91 x 5.11 x 5.01
C)
4.911 x 5.112 x 5.011
D)
4.9112 x 5.1122 x 5.0114v
Answer:
A.4.9 x 5.1 x 5.0
Step-by-step explanation:
Which expression is equivalent to 7 b + 4 b minus 1 b?
A. 2b
B. 4b
C. 10b
D. 12b
Answer:
c
Step-by-step explanation:
Answer:
ITS CStep-by-step explanation:
10bThe point (−3,15) undergoes a translation of 9 units right and 10
units down. What are the coordinates of the new point?
Answer:
6, 5
Step-by-step explanation:
-3 + 9 = 6
15-10 = 5
Answer:
(6,5)
Step-by-step explanation:
You just have to do 9-3 to get 6 or u can do -3-9
then for y you have to do 15-10
What's the answer to this equation .......
3= x÷2-1
Answer:
x=8
Step-by-step explanation:
If you subtract 3 from both sides then subtract -x/2 from both sides your equation should be simplified down to
-x/2 = -4. if you multiply the 2 on both sides the equation is -x=-8. but now you have to divide by negative 1 on both sides and you get x=8
in a class there are 8 students who play football and cricket 4 students who do not play football or cricket 14 students who play football 20 students who play cricket find the probability that a student chosen at random plays football or cricket or both
Answer:
Step-by-step explanation:
hello :
here is an solution :
The probability that a student chosen at random plays football or cricket or both is approximately 0.8667, or 86.67%, after considering the number of students playing each sport and accounting for those who play both.
To calculate the probability that a student chosen at random plays football or cricket or both, we can use the concept of probability along with a Venn diagram to organize our information.
First, we need to calculate the total number of students that play at least one of the sports. We know that 8 students play both football and cricket, 14 students play football, and 20 students play cricket. However, the 8 students that play both sports are included in the totals for both football and cricket. Therefore, to find the number of students who play at least one sport, we need to subtract the students counted twice because they play both sports:
Total playing football or cricket or both = (Number playing football) + (Number playing cricket) - (Number playing both)
= 14 + 20 - 8
= 26 students
We also know there are 4 students who do not play football or cricket. To find the total number of students, we add the number of students who play either sport to those who play neither:
Total number of students = 26 (playing sports) + 4 (not playing any sports)
= 30 students
The probability that a student chosen at random plays football or cricket or both is calculated by dividing the number of students who play either sport by the total number of students:
P(playing football or cricket or both) = Number of students playing sports / Total number of students
= 26 / 30
= 0.8667 (rounded to four decimal places)
The probability is approximately 0.8667, or 86.67%.
i need help for this equation x-2y=6
Answer:
y=1/2-3
Step-by-step explanation:
x-2y=6
-2y=-x+6
y=1/2-3
or
-2y=6
y=-3
x=6
One day a student comes to school sick and infects two students. The next day each of the two infected students come to school and infect four additional students. At this rate, how many days will it take to infect all 500 students in the school? Create an equation.
Answer:
2x=500
Step-by-step explanation:
Let x be the number of days.
Since there is a pattern, that 1 person is infected and infects two. Then two infects 4.
So it will be 2x. Since everyday it goes up.
Then, since there are 500 students in the school and the question asks for how many days, it will equal 500.
Need help plz!!!
What is the correct answer in terms of pi
Answer:
volume of a cone = 2.82πinches³( nearest hundredth)
Step-by-step explanation:
given that the diameter of a cone = 2 3/8
diameter = radius x 2
radius = diameter /2
radius = 19/8/2 = 1.1875
height of the cone = 6inches
volume of the cone = ?
recall that the formulae for calculating the volume of a cone = πr² h/3
volume of a cone = πr² h/3
volume of a cone = π (1.1875)² x 6/3
volume of a cone = π1.410 x 2
volume of a cone = 2.8203πinches³
volume of a cone = 2.82πinches³( nearest hundredth)
The area of one of the small right triangles outlined in blue is A cm2, while the area of the square outlined in red is B cm2. Which expressions show the area of the shaded region in terms of A and B? Check all that apply.
4A + B
8A + B
2A + B
1.5B
12A
Answer:
The correct answers are 4A+B, 1.5B, 12A
Step-by-step explanation:
The area of the whole figure is 4A+B cm²
What is an area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
The space enclosed by the boundary of a plane figure is called its area.
The area of a figure is the number of unit squares that cover the surface of a closed figure.
Given that, a figure having the area of one of the small right triangles outlined in blue is A cm² while the area of the square outlined in red is B cm²
The total area = the sum of the area of the 4 triangles and the square,
= A + A + A + A + B = 4A + b
Hence, the area of the whole figure is 4A+B cm²
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The complete question is attached
Construct a 95% confidence interval for the population mean, mu. Assume the population has a normal distribution. A random sample of 16 lithium batteries has a mean life of 645 hours with a standard deviation of 31 hours. Round to the nearest tenth.
Given Information:
Number of lithium batteries = n = 16
Mean life of lithium batteries = μ = 645 hours
Standard deviation of lithium batteries = σ = 31 hours
Confidence level = 95%
Required Information:
Confidence Interval = ?
Answer:
[tex]CI = 628.5 \: to \: 661.5 \: hours[/tex]
Step-by-step explanation:
The confidence interval is given by
[tex]CI = \mu \pm t_{\alpha/2} (\frac{\sigma}{\sqrt{n}})[/tex]
Where μ is the mean life of lithium batteries, σ is the standard deviation, n is number of lithium batteries selected, and t is the critical value from the t-table with significance level of
tα/2 = (1 - 0.95) = 0.05/2 = 0.025
and the degree of freedom is
DoF = n - 1 = 16 - 1 = 15
The critical value (tα/2) at 15 DoF is equal to 2.131 (from the t-table)
[tex]CI = 645 \pm 2.131(\frac{31}{\sqrt{16}})[/tex]
[tex]CI = 645 \pm 2.131(7.75})[/tex]
[tex]CI = 645 \pm 16.515[/tex]
[tex]CI = 645 - 16.515 \: and \: 645 + 16.515[/tex]
[tex]CI = 628.5 \: to \: 661.5 \: hours[/tex]
Therefore, the 95% confidence interval is 628.5 to 661.5 hours
What does it mean?
It means that we are 95% confident that the mean life of 16 lithium batteries is within the interval of (628.5 to 661.5 hours)
The pilot of a glider plane wants to estimate his altitude. He picks a landmark ahead and measures the angle of depression to be 20 degrees. He flies another 800 feet towards the landmark, remaining at the same altitude. The angle of depression from his new location to the same landmark is now 21.4 degrees. What is the glider's altitude?
Answer:
4,000 ftExplanation:
The figure attached shows sketches the situation described.
You have two right triangles.
For the right triangle with the plane on the position A, you can write:
tan(20º) = H/(800 + x)⇒ H = (800 + x) tan(20º)
For the right triangle with the plane on the position B, you can write:
tan(21.4º) = H/x⇒ H = x tan(21.4º)
To solve, equal both equations:
x tan(21.4º) = (800 + x) tan(20º)x tan(21.4º) = 800 tan(20º) + x tan(20º)x = 800 tan(20º) / ( tan(21.4º) - tan(20º) )x = 10,426.9 feetSubstitute in the equation H = x tan(21.4º)
H = 10,426.899856 × tan(21.4º) = 4,086 ftRounding to one signficant figure that is 4,000 ft.
Using Factors to Write Equivalent Expressions
Which expression has an equivalent value to x2 + 9x + 8 for all values of x?
(x + 1)(x + 8)
(x + 2)(x+6)
(x + 4)(x + 4)
(x + 5)(x + 4)
Answer:
(x + 1)(x + 8)
Step-by-step explanation:
I graphed the equation on the graph below to find the x values.
N - 10 = 4 what does N equal
Answer:
N = 14 i hope this helps! :)
Step-by-step explanation:
given N - 10 = 4
add 10 to both sides N = 14
answer N = 14 units
What is the simplified form of 3 and the square root of 135?
Answer: do u still want to know this or not
Step-by-step explanation:
What is the area of a circle with a diameter of 16.2 in.?
Use 3.14 for pi and round your final answer to the nearest hundredth.
Enter your answer in the box.
In 2
Answer
206.02
Step-by-step explanation:
r=d/2
=16.2/2=8.1
3.12*8.1*8.1=206.0154
to the nearest hundred=206.02
The area of the circle with a diameter of 16.2 inches is approximately 206.24 square inches.
Explanation:The area of a circle can be found using the formula A = πr^2, where π represents the mathematical constant pi and r is the radius of the circle. Since the diameter of the circle is given as 16.2 inches, we can find the radius by dividing the diameter by 2: r = 16.2 / 2 = 8.1 inches. Now we can plug in this value into the formula to find the area: A = 3.14 * (8.1)^2 = 206.2446 square inches. Rounding this to the nearest hundredth, the area of the circle is approximately 206.24 square inches.
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Answer:58
Step-by-step explanation:
Answer:
58
Step-by-step explanation:
since it equals to 90 you subtract that with 32
which gives you 58
is line AB tangent to circle below
Answer:
Yes, Line AB is tangent to the circle.
Step-by-step explanation:
What is the slope of the line that passes through the points (0,-7) and (-4,3)
Answer:
Step-by-step explanation:
To find slope you have to take y2-y1 over x2-x1
y2=your second y poiny
y1=first y point
x2=second x point
x1=first x point
Since it is minus a negative you get to change it to a plus sign, because they cancel each other out.
3 + 7
____
-4-0
10/-4
This isn't quite simplified, so you find a common factor for the numerator (top number) and the denominator (bottom number). You should note the number has to go into both numbers, not just one. The largest common factor would be 2 in this case.
10/2=5
-4/2=-2
Now your simplified answer would be 5/2
The slope of the line will be "[tex]-\frac{5}{2}[/tex]".
The given points are:
[tex](x_1, y_1) = (0,-7)[/tex][tex](x_2, y_2)= (-4,3)[/tex]The slope (m) will be:
= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
By substituting the given values, we get
= [tex]\frac{3-(-7)}{-4-0}[/tex]
= [tex]\frac{3+7}{-4}[/tex]
= [tex]-\frac{10}{4}[/tex]
= [tex]-\frac{5}{2}[/tex]
Thus the above slope is right.
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what’s the slope of this line?
Answer:
1
Step-by-step explanation:
We can find the slope by using any two points and the following formula
m = (y2-y1)/(x2-x1)
= (5-3)/(2-0)
= 2/2
=1
Triangle C F E is shown. Angle C F E is a right angle. An altitude is drawn from point F to point D on side C E, forming a right angle. The length of F D is 9, the length of C D is 5, and the length of D E is 2 x + 3.
What is the value of x and the length of segment DE?
StartFraction 5 Over 9 EndFraction = StartFraction 9 Over 2 x + 3 EndFraction
10x + 15 = 9(9)
x =
Length of = units
What is the value of x and the length of segment DE?
StartFraction 5 Over 9 EndFraction = StartFraction 9 Over 2 x + 3 EndFraction
10x + 15 = 9(9)
Answer: Keep it simple
x =
6.6
Length of =
16.2
units
The value of x and one of the sides of the triangle are needed.
[tex]x=6.6\ \text{units}[/tex]
[tex]DE=16.2\ \text{units}[/tex]
[tex]CD=5\ \text{units}[/tex]
[tex]FD=9\ \text{units}[/tex]
[tex]DE=2x+3[/tex]
Finding CF
[tex]CF^2=CD^2+FD^2\\\Rightarrow CF^2=106\ \text{units}[/tex]
In triangle DEF
[tex]FE^2=DE^2+DF^2\\\Rightarrow FE^2=(2x+3)^2+81[/tex]
In triangle CFE
[tex]CE^2=CF^2+FE^2\\\Rightarrow (5+2x+3)^2=106+(2x+3)^2+81\\\Rightarrow (8+2x)^2=187+(2x+3)^2\\\Rightarrow 64+4x^2+32x=187+4x^2+9+12x\\\Rightarrow x=\dfrac{187-64+9}{32-12}\\\Rightarrow x=6.6\ \text{units}[/tex]
[tex]DE=2x+3=2\times 6.6+3\\\Rightarrow DE=16.2\ \text{units}[/tex]
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Well, I have to write 20 words, so... I think this is enough.
=====================================================
Explanation:
Each circle has a radius of 'a'. So r = a.
The area of each circle is pi*r^2 = pi*a^2
The area of each square with side length b is b^2
The two stacks have the same volume only when the circle area is equal to the square area, so whenever pi*a^2 = b^2 is true.
Solving for b leads to b = sqrt(pi*a^2) = sqrt(pi)*a
The stacks must also be the same height for the volumes to be the same, so m = n as well.
If you create a box-and-whisker plot for the data set, which expression correctly calculates the third quartile, Q3, of the data set?
{4.3, 5.1, 3.9, 4.5, 4.4, 4.9, 5.0, 4.6, 4.1, 4.6, 4.4, 4.3, 4.8, 4.4, 4.2, 4.5, 4.4}
Answer:
D)
(4.4+4.8)
2
Step-by-step explanation:
there is no step by step explanation
Jeremy will roll a number cube, numbered 1-6, twice. What is the probability of rolling an even number, then the number 3?
For the even number it would be I think a 6/6 chance for the three a 2/6 chance.
Answer:
1/12
Step-by-step explanation:
a chance of an even number is 1/2 and the chance of getting a three is 1/6 when you multiply these it’s 1/12