Answer:
unfortunately one person will be without a bracelet
[tex] \rm \frac{ {10}^5 }{ {e}^{ \sqrt{e} } } \left( \int^{1}_0 {e}^{ \sqrt[]{ {e}^{x} } } \: dx + 2 \int_{e}^{ {e}^{ \sqrt{e} } } ln( ln(x) ) \: dx\right) \\ [/tex]
In the first integral, substitute [tex]x \to e^{\sqrt{e^x}}[/tex]:
[tex]\displaystyle I = \int_0^1 e^{\sqrt{e^x}} \, dx = 2 \int_e^{e^{\sqrt e}} \frac{dx}{\ln(x)}[/tex]
In the second integral, integrate by parts:
[tex]\displaystyle J = \int_e^{e^{\sqrt e}} \ln(\ln(x)) \, dx = \dfrac12 e^{\sqrt e} - \int_e^{e^{\sqrt e}} \frac{dx}{\ln(x)}[/tex]
It follows that
[tex]\dfrac{10^5}{e^{\sqrt e}}(I+2J) = \dfrac{10^5}{e^{\sqrt e}} \times e^{\sqrt e} = \boxed{10^5}[/tex]
Shayla and Carlos each have a bag that contains five green marbles five red marbles and 10 yellow marbles the marvels are all the same size and shape which expression represents the probability that Shayla will select two red marbles
The probability that Shayla will select two red marbles from the bag is 1/16.
What is the probability?Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that Shayla will select two red marbles = (number of red marbles / total number of marbles) x (number of red marbles / total number of marbles)
5/20 x 5/20 = 1/16
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HELP PLEASE SHOW WORK
A triangle has one angle that measures 40 degrees, one angle that measures 119 degrees, and one angle that measures 21 degrees.
What kind of triangle is it?
A.
acute triangle
B.
equilateral triangle
C.
obtuse triangle
D.
right triangle
Answer:
obtuse triangle
Step-by-step explanation:
one angle measures more than 90°
The GCF of a pair of numbers is 4 and the LCM is 2240. If one the numbers is 64, then what is the other number?
What is the value if X? and how to find exterior angles.
Think about each of the following. Which of these three triangles is impossible to draw?
Check by using sum of angles of triangle = 180°
20+45 < 180 so third angle will make it 180 which means it's possible to draw 120+50 = 170< 180 so third angle being 10 will complete the triangle90+100 = 190 > 180 so third angle being (-10) is impossible for the triangle so it can't be possibleWrite the next whole number after 4444 in the base-five system.
====================================================
Explanation:
4+1 = 5 in base 10
But in base 5, the digit "5" does not exist.
The only digits in base five are: 0, 1, 2, 3, 4
This is similar to how in base ten, the digits span from 0 to 9 with the digit "10" not being a thing (rather it's the combination of the digits "1" and "0" put together).
----------------
Anyways let's go back to base 5.
Instead of writing 4+1 = 5, we'd write 4+1 = 10 in base 5. The first digit rolls back to a 0 and we involve a second digit of 1.
Think how 9+1 = 10 in base 10.
Similarly,
44+1 = 100 in base 5
444+1 = 1000 in base 5
4444+1 = 10000 in base 5
and so on.
----------------
Here are the first few numbers in base 5, when counting up by 1 each time.
0, 1, 2, 3, 4,
10, 11, 12, 13, 14,
20, 21, 22, 23, 24,
30, 31, 32, 33, 34,
40, 41, 42, 43, 44,
100, 101, 102, 103, ...
Notice each new row is when the pattern changes from what someone would expect in base 10. This is solely because the digit "5" isn't available in base 5.
please answer correctly thanks
Answer:
Step-by-step explanation:
add all the three.
Answer:
60
Step-by-step explanation:
AD= AB+BC+CD
=22+29+9
=60 cm
4² - 5² × 2³ what is the value of the expression.
[tex]4 {}^{2} - 5 {}^{2} \times 2 {}^{3} [/tex]
[tex]16 - 25 \times 8[/tex]
[tex]16 - 200[/tex]
[tex] - 184[/tex]
Hello!
Let's evaluate this expression.
4²-5²×2³
4²=16
16-5²×2³
5²=25
16-25×2³
2³=8
16-25×8
According to PEMDAS, the next operation is multiplication (M)
16-200
Subtract:
-184
Hence, the simplified expression is equal to
[tex]\boxed{\boxed{\bold{-184}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
-5X^2 + 3X = -3X^2 + 3X - 50 solve for x
[tex]-5x^2+3x = -3x^2 +3x -50\\\\\implies 5x^2-3x^2 +3x-3x -50 =0\\\\\implies 2x^2 -50 =0\\\\\implies x^2 -25 = 0\\\\\implies x^2 = 25\\\\\implies x = \pm5\\\\\text{Hence}~ x = 5~ \text{or}~ x = -5[/tex]
Answer:
X = 5, —5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
A right angled triangle has hypotenuse 9cm and sides (x+5) and (x-3)cm. calculate x
Answer:
x= 3.95
Step-by-step explanation:
Hypotenuse = 9 cm
side = (x+5) cm
other side = (x-3) cm
Pythagoras theorem: Hypotenuse² = Base² + Base²
9² = (x+5)² + (x-3)²
81 = x² + 25 + 10x + x² + 9 - 6x
2x² + 4x - 47 = 0
Quadratic Formula
x = (-b±√b²-4ac) / 2a
x = (-4±√16+376) / 2(2)
x = (3.95 and -5.95)
We ignore the negative -5.95
So x = 3.95
Which equation represents a line that passes through (2, -1/2) and has a slope of 3?
O y-2 = 3(x +1/2)
O y-3 = 2(x + 1/2)
O y+ 1/2 = 3(x - 2)
o y + 1/2 = 2(x - 3)
Answer:
[tex]\displaystyle y + \frac{1}{2} = 3\, (x - 2)[/tex].
Step-by-step explanation:
Consider a line in a cartesian plane that goes through the point [tex](x_{0},\, y_{0})[/tex]. If the slope of this line is [tex]m[/tex] (a real constant,) the equation of this line in point-slope form would be:
[tex]y - y_{0} = m\, (x - x_{0})[/tex].
The line in this question goes through the point [tex](2,\, (-1/2))[/tex]. Thus, [tex]x_{0} = 2[/tex] whereas [tex]y = (-1/2)[/tex]. The slope of this line is [tex]m = 3[/tex]. Thus, the equation of this line in point-slope form would be:
[tex]y - (-1/2) = 3\, (x - 2)[/tex].
Simplify to obtain:
[tex]y + (1/2) = 3\, (x - 2)[/tex].
Which statement about the following system is correct?
y = - 2x + 5
2x + y = – 5
-
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]
The given equations represents parallel lines, since they have same slope and the y - intercepts of each of the equations are distinct.
Therefore, the correct choice is ~
D. The system is inconsistent because it has no solution.
Write the percent as a decimal.
78% =
Answer:
.78
Step-by-step explanation:
i belive its .78 as you can multiply any given number by both and get the same answer
Factor z3 + 2z2 - 9z - 18. (z - 3)(z + 3)(z + 2) (z 2 + 9)(z - 2) (z 2 + 2)(z - 9)
Answer:
Read the explanation
Step-by-step explanation:
look at the photo
a football player can run 13.5 yards in 4.5 seconds. which equation is used to find r, the number of yards he can run in 1 second
Answer:
3
Step-by-step explanation:
You just divide 13.5 by 4.5, and you get 3 yards per second.
PLEASE HELP ASAP, BEST ANSWER GETS +50 POINTS AND BRAINLIEST
prove that if the center of a circle is equidistant from the sides of an inscribed triangle, then the triangle is equilateral?
Please answer with a picture/drawing/diagram, and statement and reasons for Brainliest! Thanks!
Answer:
if your using a 60,60,60 triangle ; the centers are the same.
The triangle's equilateral.
hope it helps!!!
Step-by-step explanation:
See attached
Hope this helps! :D
The questionnnnnnnnn
Answer:
C
Step-by-step explanation:
C because 25% + 10% = 35% and 10% + 25% is also 35%
can someone pls help me with this. WILL MARK BRAINLIEST
Answer:
The answer is D :)
Step-by-step explanation:
I think this because when you multiply the unit value of PR, 4, by 3 it equals 12, which is TVs, value. If you do the same to QP's unit value, 3, by 3 again, you will get UT's unit value, 9.
Have an amazing day!!
Please rate an dmark brainliest!!
Which pair of functions are inverses of each other?
Answer:
D
Step-by-step explanation:
f(x) = 10x - 5 → x = 10g(x) - 5 → x + 5 = 10g(x) →
g(x) = (x + 5)/10
The sale price of an item is $105 after a 30% discount is applied. What is the original price of the item?
SHOW WORK PLEASE AND THANKYOU
and be quick please
Answer:
$150
Step-by-step explanation:
let x be the original price
105 = 0.7x
150 = x
A motorcycle travels 20 miles west and then turns and goes 52° north of west another 38 miles. How far is the motorcycle from its starting point? Round to the nearest tenth.
Answer:52.7
Step-by-step explanation:
1) Find the angle inside the triangle by subtracting 52 from 180 getting you 128
2)Then we input everything into the law of cosines
I NEED HELP IMMEDIATLY! 100 POINTS AND BRAINLY!!!!!!!
Solve for ccc.
Give an exact answer.
0.2(10-5c)=5c-160.2(10−5c)=5c−160, point, 2, left parenthesis, 10, minus, 5, c, right parenthesis, equals, 5, c, minus, 16
c =c=c, equals
C = 2.7
First, simplify both sides of the equation.
0.2(1 − 5c) = 5c − 16
(0.2)(1) + (0.2)(−5c)= 5c + −16
0.2 + −c = 5c + −16
−c + 0.2 = 5c − 16
Now subtract 5c from both sides of the equation, then subtract 0.2 from both sides.
−c + 0.2 − 5c = 5c − 16 − 5c
−6c + 0.2 = −16
−6c + 0.2 −0.2 = −16 - 0.2
−6c = −16.2
Lastly, divide both sides by -6.
-6c/-6 = -16.2/6
2.7
Please mark this as brainliest, cheers.
Write the equation of a parabola with focus at (1,-4) and a directrix at X=2
Answer:
The equation of a parabola is
[tex]x = \frac{1}{4(f - h)} (y - k) ^{2} + h[/tex]
Step-by-step explanation:
(h,k) is the vertex and (f,k) is the focus.
Thus, f = 1, k = −4.
The distance from the focus to the vertex is equal to the distance from the vertex to the directrix: f - h = h - 2.
Solving the system, we get h = 3/2, k = -4, f = 1.
The standard form is:
[tex]x = - \frac{y ^{2} }{2} - 4y - \frac{13}{2} [/tex]
The general form is:
[tex]2x + {y}^{2} + 8y + 13 = 0[/tex]
The vertex form is:
[tex]x = - \frac{(y + 4) ^{2} }{2} + \frac{3}{2} [/tex]
The axis of symmetry is the line perpendicular to the directrix that passes through the vertex and the focus: y = -4.
The focal length is the distance between the focus and the vertex: 1/2.
The focal parameter is the distance between the focus and the directrix: 1.
The latus rectum is parallel to the directrix and passes through the focus: x = 1.
The length of the latus rectum is four times the distance between the vertex and the focus: 2.
The eccentricity of a parabola is always 1.
The x-intercepts can be found by setting y = 0 in the equation and solving for x.
x-intercept:
[tex]( - \frac{13}{2} \: ,0)[/tex]
The y-intercepts can be found by setting x = 0 in the equation and solving for y.
y-intercepts:
[tex](0, - 4 - \sqrt{3)} [/tex]
[tex](0, - 4 + \sqrt{3)} [/tex]
A business analyst has determined that the selling price per unit for a laser printer is $1600. The cost to make one laser printer is $950, and the fixed cost is $211,250. Find the break-even point.
please show the work thank you
Answer:
Solve the following equation
Step-by-step explanation:
You need to make an equation of this
Let x be the number of computers made
1600 × x = (950 × x) + 211250
When both sides are equal, that is the break even
How do you write 7,100 in scientific notation
Answer:
7.1 x 10³
Step-by-step explanation:
Move your decimal so that it follows your first whole number greater than zero. The number of places you moved the decimal is the same as the exponent. Since the number 7.1 needs to INCREASE to be 7,100, then the exponent is positive.
Answer:
7.1 x 10[tex]^{3}[/tex] (note the 3 is an exponent)
Step-by-step explanation:
1. Count how many places there are to the right of 7
2. There are 3
3. Apply the formula of scientific notation a x 10[tex]^{b}[/tex]
4. 7.1 x 10[tex]^{3}[/tex] (remove all digits after 7.1
Hope this helps :)
The premier party ended at 11:05 P.M. and was 5 hours 25 minutes long. At what time did the premier party start?
Answer:
The elapsed time is 2 hours and 5 minutes. Example 4. The movie started at 7:30 pm and ended at 10:20 pm.
Step-by-step explanation:
Elapsed time is the amount of time that has passed between two events. You can calculate the elapsed time by figuring out the difference between the start and stop time.Here is an elapsed time problem.Soccer practice begins at 3:15 p.m. and ends at 4:45 p.m. Determine how long soccer practice lasts.To solve this problem, set up a subtraction problem that could be used to find the number of hours and minutes that pass between those two times.Subtract the starting time from the stopping time. Remember that both times represent the number of hours and minutes past noon.
5 : 40 PM
Explanation:
11 : 05 P.M
(-) 5 : 25
--------------
5 : 40 PM
At 5 : 40 PM the premier party started.The diameter of a circular field is 56 cm. Find the length of wire required to
fence it? How
many times it can be fenced with 704 m of wire ?
Answer:
176cm
400 times
Step-by-step explanation:
observa la sucesion que llevan las figuras realiza las figuras que faltan
Answer:
13, 16, 19, 22, 25, etc.
Step-by-step explanation:
You're pretty much just adding three for the chart. And for the diagram, you're adding two.
if an item regularly cost d dollars and is discounted 12 percent, which of the following represents the discounted price?
If an item usually costs d dollars a 12% discount can be represented as 0.88d.
What is a discount?This refers to a deduction in the regular price of a product or service that is usually represented using a percentage.
How can the discounted price be represented?Considering 12% is being deducted from 100% (100-12 = 88). The final price can be represented as 0.88d or 0.88 multiplied by the regular price (d).
For example, if the regular price is $100, 0.88 x 100 = $88.
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