Answer:
67.3°C
Step-by-step explanation:
A = 25, T(0) = 100, T(1) = 90, find T(4)
dT/dt = -k(T - A)
d(T - A)/dt = -k(T - A)
d(T - A)/(T - A) = -k dt
ln(T - A) = lnC - kt
[tex]T(t) -A=Ce^{-kt}\\T(t) = A + Ce^{-kt} = 25 + Ce^{-kt}\\T(0) = 25 + C = 100\\C=75[/tex]
[tex]T(t) = 25 + 75e^{-kt}\\T(1) = 25 + 75e^{-k} = 90\\75e^{-k} = 65\\e^{-k} = \frac{65}{75}, k = ln\frac{75}{65} = 0.1431\\T(t) = 25+75e^{-0.1431t}\\T(4) = 25+75e^{-0.1431\times4} = 67.3[/tex]
If 6 - 8 = 28, what is the value of y?
If x = 3i, y = 2i, and z = m + i, the expression xyz equals
1.) -12-12mi
2.)-6-6mi
3.)12-12mi
4.)6-6mi
Answer:
Step-by-step explanation:
I am assuming that i = √(-1)
3i*2i*(m + i)
= 6i^2(m + i)
= -6(m+ i)
= -6m - 6i.
8. Find GH,
E
3-4
HY
-
H
2
3x - 4
G
SI
F
9x - 59
D
Answer:
GH= 47
Step-by-step explanation:
[tex]2(3x - 4) = 9x - 59[/tex]
[tex]6x - 8 = 9x - 59[/tex]
[tex]6x - 9x = - 59 + 9[/tex]
[tex] \cfrac{ - 3x}{ - 3} = \cfrac{ - 51}{ - 3} [/tex]
[tex]x = 17[/tex]
[tex]gh = 3(17) - 4[/tex]
[tex]51 - 4[/tex]
[tex] = 47[/tex]
~
Math workshops and final exams: The college tutoring center staff are considering whether the center should increase the number of math workshops they offer to help students improve their performance in math classes. Faculty would like to know if requiring student attendance at these math workshops will improve overall passing rates for their students in their math classes. They plan to use the number of workshops attended to predict the final exam score and regression analysis to determine the effectiveness of the mandatory workshop attendance policy. Which is the response variable
Answer:
Final Exam score is the response variable.
Step-by-step explanation:
The response variable is the variable of interest. It is what is being tested for given the predictor variables. The response variable is also called the dependent variable and from our question we want to predict final exam scores would improve if attendance is made mandatory or as the question says, required. The number of times attended is the independent variable while final exam score is the response variable.
Rewrite the absolute value function as a piecewise function.
a
f(x) = -3x +11 – 2
-
The value of square root of 20 is between 4.4 and 4.5. Which of the following is a more precise approximation of square root of 20?
Answer:
4.5
Step-by-step explanation:
the square root of 20 is closer to 4.5 than it is to 4.4
Simplify.
-4(y+6)+5y
-4(y + 6) + 5y
= -4y - 24 + 5y
= y - 24 (simplified)
Answer:
9y+24
Step-by-step explanation:
1) Find AB
B
29
41°
С
13
A
Step-by-step explanation:
See attached image for the answer
[tex] \frac{x}{4} + 3 = \frac{x}{2} + 3[/tex]
Answer:I think it’s 7...
Step-by-step explanation:
can someone help me with this I already answered half of all of them but I need to make sure It's right?
Answer:
yes 0.265 is correct it is your answer
Lucy walks one time around the lake. She walks for 1.5 hours at an average rate of 3 miles per hour. What is the distance, in miles, around the lake?
Im stuck on this one, please help!
Answer:
4.5 miles
Step-by-step explanation:
Since she walked at a rate of 3 miles for 1.5 hours, you have to multiply both together (1.5 x 3) and you get 4.5 miles
my past Is about to be here What subjects do I need to start studying??? btw I'm a sphomore.
what Is the remainder when the polynomial p(x) = 5x^3 + x^2 + 10 Is divided by (x + 2)?
Answer:
its not showing up on the screen
A statistician believes that the percent population growth rate of major cities has decreased compared to the last decade. To test his claim, he randomly selects major cities and compares the percent population growth between the years 2007 and 2017 to the percent population growth between the years 1997 and 2007. Suppose that data were collected for a random sample of 17 cities, where each difference is calculated by subtracting the percent growth rate from 1997 to 2007 from the percent growth rate from 2007 to 2017. Assume that the percentages are normally distributed. The statistician uses the alternative hypothesis Ha:μd<0. Using a test statistic of t≈−5.053, which has 16 degrees of freedom, determine the range that contains the p-value.
Answer:
The range consisting of the p-value is, 0.000001 < p-value < 0.00001.
Step-by-step explanation:
The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.
In this case a paired t-test is used to determine whether the percent population growth rate of major cities has decreased compared to the last decade.
The alternative hypothesis is Hₐ: [tex]\mu_{d}<0[/tex].
The test statistic value is, t = -5.053.
The degrees of freedom is, 16.
Compute the p-value as follows:
[tex]p-value=P(t_{16}<-5.053)=0.000059[/tex]
Thus, the range consisting of the p-value is, 0.000001 < p-value < 0.00001.
please answer these 3 equations fast pls
Answer:
15: 10.99
2(3.14)r
3.5/2 = 1.75
2(3.14)1.75
10.99
16: 50.24
2(3.14)8
50.24
17: 260%
2 = 200%
3/5 = 60%
200 + 60 = 260%
Have an amazing day!
Please rate and mark brainliest!!
Ok, so Jay has a goal of saving money to buy a handheld game console. Jay has reached 10% of his goal and saved $12. Please explain
Answer:
$120
Step-by-step explanation:
10% = 1/10
If Jay has only saved 1/10 of his goal, then to find how much the goal is we multiply how much he has by 10. This will convert 1/10 to 1.
12 x 10 = 120
Jay's goal is $120
Answer:
$120
i got on edg 2020 hope this helped you
Find the value of |5|-4(3^2 - 2).
-11
-33
7
-23
Answer:
-23
Step-by-step explanation:
I dont really know how to explain this sorry. but I hope it some what helps
Solve the question in the image please.
Answer:
Where's the image?
cause i can't solve the question without the image
Help me solve this PLS
Answer:
Ok so what you have to do to is basically apply Pythagoras Theorem
Step-by-step explanation:
The hypotenuse squared is equal to the sum of the squares of the legs of a right-angle triangle.
[tex]c^2 = a^2 + b ^2[/tex]
Assuming:
c = 10 [tex]\rightarrow[/tex] hypotenuse
a = 6.84 [tex]\rightarrow[/tex] adjacent leg (base of the triangle)
b = ? [tex]\rightarrow[/tex] opposite leg (height of triangle)
[tex]10^2 = 6.84^2 + b^2[/tex]
[tex]b^2 = 10^2 - 6.84^2[/tex]
[tex]b = \sqrt{(10)^2-(6.84)^2}[/tex]
[tex]b = 7.295[/tex]
With that, you can calculate the area of the triangle:
[tex]A_{triangle} = \frac{a*b}{2}[/tex]
[tex]A_{triangle} = \frac{6.84*7.295}{2}[/tex]
[tex]A_{triangle} = 24.95[/tex]
And as your polygon has 9 sides, you can assume that you have 9 of this triangles, so the total area would be:
[tex]A = 9*24.95[/tex]
[tex]A = 224.55[/tex]
And rounding this result to the nearest hundreth:
[tex]A = 220[/tex]
if a printer prints 36 pages in 12 minutes, how many pages per minute?
Step-by-step explanation:
The key word "per" hints at a ratio
A ratio is represented by ?:?, ?/?, etc
So, we can divide the two
pages. 36 pages
----------- = ------------- = 3 pages per min minute 12 minutes
Calculus 3.10 Linearization (a) y=x^2sin2x (b) y=ln sqrt(1+t^2) find the differential of each.
Answer:
Below in bold.
Step-by-step explanation:
(a) y=x^2sin2x
Using the Product Rule:
dy/dx = x^2*2cos2x + 2xsin2x
dy/dx = 2x(xcos2x + sin2x).
(b) y=ln sqrt(1+t^2)
y = ln (1 + t^2)^1/2
Using the chain rule:
dy/dx = 1 / (1 + t^2)^1/2 * 1/2(1 + t^2)^-1/2 * 2t
= 2t/(1 + t^2)^1/2 * 1/ (2(1 + t^2)^1/2
= 2t / 2(1 + t^2)
= t / ( 1 + t^2).
Line L in the figure below is parallel to the line y=5x+3. Find the coordinates of the point P.
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
[tex]y=\stackrel{\stackrel{m}{\downarrow }}{5}x+3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
that means that the slope of line L is also 5, or 5/1 or [tex]slope=\cfrac{\stackrel{rise}{5}}{\underset{run}{1}}[/tex]
Check the picture below.
HELP ILL MARK BRAINLIEST IF CORRECT!!!
Answer:
Does y vary directly with x?
•YES
What is the---------------?
•A. k=y
What is the function----------?
•A. y=x
Help math math math
Hello.
In order to convert this equation into slope intercept form, we need to divide the entire equation by 7:
[tex]\tt{8x-7y=13[/tex]
[tex]\tt{\displaystyle\frac{8x}{7} -\frac{7y}{7}=\frac{13}{7}[/tex]
Simplify:
[tex]\tt{\displaystyle\frac{8x}{7}-y=\frac{13}{7}[/tex]
Add y to both sides:
[tex]\Large\boxed{\sf{y=\displaystyle\frac{8x}{7} -\frac{13}{7}}}[/tex]
I hope it helps.
Have an outstanding day. :)
[tex]\boxed{imperturbability}[/tex]
Hey there!
8x - 7y = 13
8x - 13 = 7y
(8x - 13)/ 7 = y
8x/7 - 13/7 = y
Hope it helps ya!
Need help!
v varies directly as the square of x and inversely as the cube of y. Find v when x=3 and y=2, given that v=2 when x=4 and y=3
Step-by-step explanation:
If two objects vary directly, we just divide those two objects.
If two objects vary indirectly, we multiply them.
So here we have
[tex] \frac{v}{ {x}^{2} } {y}^{3} = k[/tex]
where k is a constant.
So let analyze when all variables Except k is given.
[tex] \frac{2}{16} (27) = 3.375[/tex]
So k=3.375
[tex] \frac{v}{ {3}^{2} } (2 {}^{3} ) = 3.375[/tex]
[tex] \frac{v}{9} (8) = 3.375[/tex]
[tex] \frac{v}{9} (8) = \frac{27}{8} [/tex]
[tex]v8 = \frac{243}{8} [/tex]
[tex]v = \frac{243}{64} [/tex]
[tex]3.796875[/tex]
Ivan rented a truck for the day. There is a base fee of $17.95, and there was an additional charge of 91 cents for each mile driven. Ivan had to pay $284.58 when he returned the truck. For how many miles did he drive the truck?
Answer:
293 miles
Step-by-step explanation:
284.58-17.95=266.63
266.63/0.91=293
293 miles
Which formula can be used to measure the area of a trapezoid?
O Multiply the bases, add the height, then divide by two.
O Add the bases, multiply by the height, then divide by two.
O Add the bases, divide by the height, then multiply by two.
someone please help
a car travels at a speed of 85 mph how far will it travel in 15 minutes
Answer:
106.25 mph
Step-by-step explanation:
since the car travels at 85 miles per hour we divide it by 60 seconds in order to find how many miles is it to get in a minute
=> 85mph ÷ 60
divide 85 by 60
=> 1.416
multiply 1.416 by 15 to get how many miles it to go in 15 minutes
=> 21.25
then add it to 85
=> 106.25
There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 blue?