Step-by-step explanation:
Use the Maclaurin expansion:
f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(0) xⁿ / n!
For example, for f(x) = eˣ:
f(x) = ∑ₙ₌₀°° e⁰ xⁿ / n!
f(x) = ∑ₙ₌₀°° xⁿ / n!
A toy store received a shipment of 17 cases of teddy bears use compatible numbers to estimate the total number of teddy bears in the shipment. There are 12 bears per case.
Answer: The estimate is 200
Step-by-step explanation:
The exact amount would be 204 teddy bears, but you would it down to 200.
The entrance to a museum in Paris is shaped like a square pyramid. The base of the pyramid has a side length of 35 meters, and the height of the pyramid is 22 meters
Answer:
the total Hight would be 42 meters
Step-by-step explanation:
A teacher designs a test so a student who studies will pass 90% of the time, but a student who does not study will pass 11% of the time. A certain student studies for 85% of the tests taken. On a given test, what is the probability that student passes?
Answer:
probability that student passes = 0.7815
Step-by-step explanation:
Given:
Student studies = 85% = 0.85
Student not study = 11% = 0.11
Student who pass = 90% = 0.90
Computation:
P(student not pass) = 1 - 0.85
P(student not pass) = 0.15
probability that student passes = P(Student studies)(Student who pass) + P(Student not study)(student not pass)
probability that student passes = (0.85)(0.90) + (0.15)(0.11)
probability that student passes = 0.765 + 0.0165
probability that student passes = 0.7815
Using the percentages given, it is found that there is a 0.7815 = 78.15% probability that student passes.
The percentages associated with passing the test are given by:
90% of 85%(student studies for the test).11% of 15%(student does not study for the test).Hence, adding these percentages:
[tex]p = 0.9(0.85) + 0.11(0.15) = 0.7815[/tex]
0.7815 x 100% = 78.15%
There is a 0.7815 = 78.15% probability that student passes.
A similar problem, also involving the use of percentages, is given at https://brainly.com/question/25960993
Please help with this
Answer:
8/3
Step-by-step explanation:
(4/-5)/(-3/10)
(4/-5) x (-10/3)
-40/-15
40/15
8/3
a mass of 25kg on a ramp at an angle of inclination 30 degrees to the horizontal, is oulled with a force of 75 kg an angle of 20 degrees to the ramp what is the frictional force if it is pulled up the ramp at constant speed
Decompose the forces into components that are parallel or perpendicular to the plane. Then the fricitional force (magnitude f ) is only included in the net force parallel to the surface. The other two are the parallel components of the box's weight (mag. w ) and the pulling force (mag. p)
The box is moving at constant speed, so there is no acceleration and the box is in equilibrium. By Newton's second law,
∑ F = p cos(20º) - w sin(30º) - f = 0
We're given p = 75 N, and
w = m g = (25 kg) (9.80 m/s²)
so
f = (75 N) cos(20º) - (25 kg) (9.80 m/s²) sin(30º)
f ≈ -52 N
That the magnitude is negative makes me think there's a mistake in the question.
At what angle does a diffraction grating produce a second-order maximum for light having a first-order maximum at 20.0 degrees?
Answer:
At 43.2°.
Step-by-step explanation:
To find the angle we need to use the following equation:
[tex] d*sin(\theta) = m\lambda [/tex]
Where:
d: is the separation of the grating
m: is the order of the maximum
λ: is the wavelength
θ: is the angle
At the first-order maximum (m=1) at 20.0 degrees we have:
[tex] \frac{\lambda}{d} = \frac{sin(\theta)}{m} = \frac{sin(20.0)}{1} = 0.342 [/tex]
Now, to produce a second-order maximum (m=2) the angle must be:
[tex] sin(\theta) = \frac{\lambda}{d}*m [/tex]
[tex] \theta = arcsin(\frac{\lambda}{d}*m) = arcsin(0.342*2) = 43.2 ^{\circ} [/tex]
Therefore, the diffraction grating will produce a second-order maximum for the light at 43.2°.
I hope it helps you!
Convert 0.49494949 into a fraction. Show all work.
Answer:
0.49 49
=
49 this is a fraction
99
Step-by-step explanation:
Let
XXX
x
=
0.49
¯¯¯¯
49
then
XXX
100
x
=
49.49
¯¯¯¯
49
and
XXX
99
x
=
100
x
−
x
=
49
XXX
x
=
49
99
I WILL GIVE BRAINLIEST! ALSO KEEP AWARE!
Answer:
Step-by-step explanation:
An equation y = kx represent a proportional relation and k = [tex]\frac{y}{x}[/tex]
⊕ Yes, the constant of proportionality is 3.5
pleaseeeeeeeeeeeeeeeeeeeeee help me i'm begging you so the questions is what is the multiplicative of 5 and 10-5k
Answer:
1/5 and -k/5+2
Step-by-step explanation:
inverse of 5= 1/5
swap the variables: y=10−5k becomes k=10−5y
Now, solve the equation k=10−5y
for y
y=−k/5+2
Which expression results in a sum or difference of
the answer choices are
here it is, hope i helped :)
the answer is 3 1/12
Answer:
6 2/6 -3 2/8
Step-by-step explanation:
6*6=36
36+2=38
so it becomes 38/6
8*3=24
24+2=26
so it becomes 26/8
for same denominator *ply 38/6 with 8 &26/8 with 6
it will become: 304-156/48
148/48
which is equal to
3 4/48
What is the value of k in the equation k/3-5=34
Answer: What is the value of k in the equation k/3-5=34
Step-by-step explanation: Solution for k/3-5=34 equation: k in (-oo:+oo) k/3-5 = 34 // - 34 k/3-34-5 = 0 1/3*k-39 = 0 // + 39 1/3*k = 39 // : 1/3 k = 39/1/3 k = 117 k = 117
Answer:
k = 117
Step-by-step explanation:
I was just learning this in class...
So basically you need to get the variable k by itself so you add 5 to -5 in the equation and leave k/3 alone and then you add 5 to the other side of the equation also so you add 34+5 and you get 37 so you get k/3=37 and now you multiply 3 by 3 to cancel it out and then you once again do it on the other side of the equation 37 x 3=117 soo that leads you too k=117 YAYYY!!
Drag and drop the constant of proportionality into the box to match the table.
If the table is not proportional, drag and drop "not proportional" into the box.
x 0 2 4 6
y 0 3 6 9
Answer: it is NOT proportional
Step-by-step explanation: it doesn’t stick to 1 number going up if that makes sense, it’s adding 1 each time it goes up but it has to stick to one number going up making this NOT proportional
Answer:
2/3
Step-by-step explanation:
x adds by 2's: 0 2 4 6...
y adds by 3's: 0 3 6 9...
4
Find the y-intercept of the line shown on the coordinate plane.
11
Your answer is 4.
The point is on the corner of 4. Just remember, each box is 1. Just because it is on the top corner of the box does not mean its five, if it were to be on the top corner of five then it will be five. Your answer will be 4.
What is the sum of –356.1 + 258.6? –614.7 –97.5 97.5 614.7
Answer:
The answer is -97.5
Answer:
-97.5
Step-by-step explanation:
um yas
Solve the inequality 5y + 4 < 3y + 17
Answer:
y<13/2
Step-by-step explanation:
5y + 4 < 3y + 17
5y-3y<-4+17
2y<13
y<13/2
Answer:
y<6.5
Step-by-step explanation:
5y+4<3y+17
Subtract 3 from both sides
2y+4<17
Subtractc4 from both sides
2y<13
Divide both sides by 2
y<6.5
What is the absolute value of 2-9i
Answer:
so we get as,
let, y = 2 - 9i
so the absolute value is |y|
so we get as,
|y| = 2-9i
so the absolute value is |y|
|y|=√ 2 to the 2nd power plus 9 to the second power
so we get as,
|y|=
√81+4=√85
so the value is √85
Example:
| − 2 − i | = √ 5
Explanation:
Absolute value of a complex number a + i b is written as | a + i b | and its value as √a 2 + b 2 .
Hence, absolute value of − 2 − i is √ ( − 2 ) 2 + ( − 1 ) 2 = √ 4 + 1 = √ 5 .
Step-by-step explanation:
On average, 2.8 babies are born each day at a local hospital. Assuming the Poisson distribution, what is the probability that no babies are born today?
Answer:
The probability is [tex]P(X = 0) = 0.6997[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 2.8[/tex]
Generally the Poisson distribution constant [tex]\lambda[/tex] is mathematically represented as
[tex]\lambda = \frac{1}{\mu }[/tex]
=> [tex]\lambda = \frac{1}{2.8 }[/tex]
=> [tex]\lambda = 0.3571[/tex]
Generally the probability distribution for Poisson distribution is mathematically represented as
[tex]P(X = x) = \frac{(\lambda t)^x e^{-t \lambda}}{x!}[/tex]
Here t = 1 day
Generally the probability that no babies are born today is mathematically represented as
[tex]P(X = 0) = \frac{(0.3571 * 1 )^0 e^{-1 * 0.3571}}{0!}[/tex]
=> [tex]P(X = 0) = 0.6997[/tex]
! Find the slope using the formula.
(9,-5) and (-2,9)
Answer:
[tex]m=\frac{-14}{11}[/tex]
General Formula and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (9, -5)
Point (-2, 9)
Step 2: Find slope m
Substitute: [tex]m=\frac{9+5}{-2-9}[/tex]Add/Subtract: [tex]m=\frac{14}{-11}[/tex]Rewrite: [tex]m=\frac{-14}{11}[/tex]What is the LMC of 10 and 8
Answer:
The LCM of 10 and 8 is 40.
Hope I helped :)
Least common multiple would be (LCM) of 8 and 10 is 40.
11 ÷ 924 in long division
Answer:
231 your welcome
Step-by-step explanation:
20 plus 4000???????
Answer:
4020
Step-by-step explanation:
I'm such a smart man
-2x + y = 1
7x - y = -1
-8x+y
9-y
this is the answer because it is
Answer:
i dont know what you want but i will give you it to you in slope intercept form and the x and y intercept for both eqautions
Step-by-step explanation:
first equation:
y=2x+1
x intercept:(-1/2,0)
y intercept: (0,1)
second equation:
y=7x+1
x intercept:(-1/7,0)
y intercept: (0,1)
hope this helps pls mark brainliest this took me a long time to do :)
x = ? ..................................
Answer:
x = 40
Step-by-step explanation:
The two sides on top are congruent, Kites have two pairs of adjacent sides that are equal. so since it's 40 degrees on one side, the same will happen to the other.
Which event has theoretical probability of exactly 1/5 select three options
The spinner is divided into 10 equal sections.
Which event has theoretical probability of exactly 1/5? Select three options.
A) spinning a number less than 3
B) spinning a 4 or 5
C) spinning an odd number
D) spinning a number greater than 8
E) spinning a number less than 8
Answer:
Options A, B & D are correct
Step-by-step explanation:
From the image attached, we can see that the total number on the spinner is 10.
Now, we want to find which event has theoretical probability of exactly 1/5
Option A: spinning a number less than 3 means we get 1 or 2 which is 2 numbers.
Thus; probability = 2/10 = 1/5.
This option is true
Option B: spinning a 4 or 5 means 2 numbers.
Thus; probability = 2/10 = 1/5.
This option is true
Option C: Odd numbers in the spin are 1,3,5,7,9. This is a total of 5 numbers.
Thus, probability = 5/10 = 1/2
This option is wrong.
Option D: Numbers greater that 8 are 9 & 10. That's 2 numbers.
Thus, probability = 2/10 = 1/5
This option is correct
Option E: numbers less than 8 are;
1,2,3,4,5,6,7. That's a total of 7 numbers.
Probability = 7/10
Thus, this option is wrong.
Answer: A, B, D
Step-by-step explanation:
becky adds 11 new videos to instagram per week. She currently has 1,577 videos.
Write an expression that represents the number of videos Charli will have in w weeks.
Answer:
1577 + 11w
Step-by-step explanation:
x/4-6=2 simplify the following two step equation
Answer:
First, collect the like terms by one side
x/4=2+6
x/4=8
Then, criss-cross it, which means multiply 4 with 8
x=4×8
x=32
Step-by-step explanation:
I hope this is the answer to your question, if it helped you, please give me brainliest
How many solutions does 10(x+4)-3=14x+1
Answer:
one solution
x=9
Step-by-step explanation:
10x+37=14x+1
37=4x+1
36=4x
x=9
Answer:
X = 9
It has ONE SOLUTION
Step-by-step explanation:
10(x+4)-3=14x+1 (Given)
10x + 40 - 3 = 14x + 1 (distributive property)
10x + 37 = 14x + 1 (combine like terms)
-4x = -36 (subtraction property)
x = 9
what is the solution of the proportion 22/11 = r/13
Answer:
r=26
Step-by-step explanation:
22/11=r/13
11r=286
r=26
80+300????????????????
Answer:
380
Step-by-step explanation:
300+80=380
Hope that helped.
Arturo, Pedro y Jorge son hermanos y duermen en la misma habitación. Su padre compró pintura para que entre los tres pinten su cuarto. Arturo como es el más grande tiene que pintar 1/2 , Pedro y Jorge se dividen en partes iguales lo que falta pintar. ¿Qué fracción de la habitación pintará Pedro? ¿Y Jorge? Explica cómo llegaste a ese resultado.
Answer:
Tanto Pedro como Jorge deberán pintar 1/4 de la habitación cada uno.
Step-by-step explanation:
Dado que el cuarto entero es igual a 1, y que Arturo por ser el mayor de los hermanos tiene que pintar 1/2 de él, la parte que falta pintar es igual a 1/2 restante.
De ese 1/2, los hermanos menores, Pedro y Jorge, deben pintar dicha fracción en partes iguales. Por lo tanto, dado que (1/2) / 2 es igual a 1/4, la fracción que tanto Pedro como Jorge deberán pintar es de 1/4 de la habitación.
Answer:
xngdshfdxb
Step-by-step explanation: