Answer:
25%
Step-by-step explanation:
25% of 12 is 3
25% of 8 is 2
5 people out of 20 people
5/20 = 25%
25% percent of the entire class is going on the field trip
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
There are 12 girls and 8 boys in Ms. Crabapple's class.
The total number of students
12+8=20
25% of the girls and 25% of the boys are going on a field trip to a nuclear power plant,
25% of the girls =0.25×12=3
25% of the boys =0.25×8=2
So the total number of students went to field trip
3+2=5
So out of 20 student, 5 students went to the field trip.
Which means 25% of the entire class is going on the field trip
Hence, 25% percent of the entire class is going on the field trip
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find the point (x,y) on the curve where dy/dx = 0
a. By the chain rule,
[tex]\dfrac{dy}{dx} = \dfrac{dy}{dt}\cdot\dfrac{dt}{dx} = \dfrac{dy}{dt}\cdot\dfrac{1}{\frac{dx}{dt}}[/tex]
Given that [tex]y=e^t+e^{-t}[/tex] and [tex]x=e^{-t}[/tex], we have the derivatives
[tex]\dfrac{dy}{dt} = e^t -e^{-t}[/tex]
[tex]\dfrac{dx}{dt} = -e^{-t}[/tex]
and so
[tex]\dfrac{dy}{dx} = \dfrac{e^t - e^{-t}}{-e^{-t}} = 1-e^{2t}[/tex]
Set this equal to zero and solve for t :
[tex]1-e^{2t} = 0[/tex]
[tex]1 = e^{2t}[/tex]
[tex]\ln(1) = \ln\left(e^{2t}\right)[/tex]
[tex]0 = 2t \ln(e)[/tex]
[tex]0 = 2t[/tex]
[tex]t=0[/tex]
This value of t corresponds to x = e⁰ = 1 and y = e⁰ - 1/e⁰ = 1 - 1 = 0. So the only point on the curve where the derivative dy/dx is zero is (1, 0).
b. Compute the second derivative. Since dy/dx is a function of t, we'll momentarily replace it with f(t). By the chain rule,
[tex]\dfrac{d^2}{dx^2} = \dfrac d{dx} \dfrac{dy}{dx} = \dfrac{df}{dx} = \dfrac{df}{dt}\cdot\dfrac{dt}{dx} = \dfrac{df}{dt}\cdot\dfrac{1}{\frac{dx}{dt}}[/tex]
We have
[tex]\dfrac{df}{dt} = -2e^{2t}[/tex]
and we've already committed dx/dt. So
[tex]\dfrac{d^2}{dx^2} = \dfrac{-2e^{2t}}{-e^{-t}} = 2e^{3t} [/tex]
Substitute the first and second derivative into the differential equation:
[tex]\left(\dfrac{d^2y}{dx^2}\right)^2 + \dfrac{dy}{dx} - 1 = 0[/tex]
[tex]\left(2e^{3t}\right)^2 + (1-e^{2t}) - 1 = 0[/tex]
[tex]4e^{6t} -e^{2t}= 0[/tex]
[tex]e^{2t} (4e^{4t} - 1) = 0[/tex]
[tex]4e^{4t} - 1 = 0[/tex]
[tex]4e^{4t} = 1[/tex]
[tex]e^{4t} = \dfrac14[/tex]
[tex]\ln\left(e^{4t}\right) = \ln\left( \dfrac14\right)[/tex]
[tex]4t \ln(e) = -\ln(4)[/tex]
[tex]4t = -\ln(4)[/tex]
[tex]t = -\dfrac{\ln(4)}4[/tex]
Multiply (4-5i)(4+i)
Answer:
this is the correct answer happy
Find the measure of angle
9514 1404 393
Answer:
(b) 62°
Step-by-step explanation:
Let x represent the measure of the angle.
The complement is (90 -x).
The supplement is (180 -x).
The relationship between the supplement and the complement is ...
(180 -x) = 6 +4(90 -x)
180 -x = 6 +360 -4x
3x = 186
x = 62
The measure of the angle is 62°.
Help!!!! neeed someone to answer this question please!! its due today!
Answer:
1.)
a.)The correlation coefficient is determined by dividing the covariance by the product of the two variables' standard deviations.
b.)Medications such as naproxen, ibuprofen, and acetaminophen are most effective in reducing pain and swelling associated with muscle-related lower back pain. However, OTC medication is less likely to alleviate symptoms that stem from nerve compression or disc problems.
Step-by-step explanation:
I HOPE ITS HELP YOU
¿Cuál es la pendiente perpendicular a la pendiente m = 3 ?
Answer:
The slope of a line perpendicular to a vertical line is zero.
Step-by-step explanation:
Find The nth Term of this number sequence
18, 16, 14, 12
a = 18
d = 16 - 18 = -2
an = a + (n - 1) × d
an = 18 + (n - 1) × (-2)
an = 18 - 2n + 2
an = -2n + 20
1. 2y +8x =70
2. 2y = 8x- 70
3. y= 8x- 70
What’s the slope and y intercept for these equations?
Can you give me some hint please
How much is 2+10.
Please help me i dont know
Will give brainliest
Answer: 12
2 + 10
12
:)
Answer: 12
Step-by-step explanation: just add 2 to 10
What is the equation of the line that has a slope of 3 and goes through the point (-3,5)?
A. Y=3x +4
B. Y= 3x - 14
C. Y= 3x - 4
D. Y= 3x + 12
Answer:
C. y=3x-4
Step-by-step explanation:
I just know trust me
3х – 11 = 22 solve x
Answer:
x=11
Step-by-step explanation:
3x-11=22
3x-11+11=22+11
3x=33
3x/3=33/3
x=11
Step-by-step explanation:
3x = 22 + 11
3x = 33
3x = 33/3
3x = 11
Given f(x) = 2x - 5 , find the average rate of change of f(x) from x = 2 to x = 5?
[tex]slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)=2x - 5 \quad \begin{cases} x_1=2\\ x_2=5 \end{cases}\implies \cfrac{f(5)-f(2)}{5-2}\implies \cfrac{[2(5)-5]~~ - ~~[2(2)-5]}{3} \\\\\\ \cfrac{5-(-1)}{3}\implies \cfrac{5+1}{3}\implies 2[/tex]
Help me please!!!!!!!!!!!
Do you think you could use a multiply a 4 digit number by a 1 digit number
Answer:
line them up straight with the bottom number and the top number.
Helppppp Pleaseeeeeee
Answer:
what is the question
Step-by-step explanation:
What is the prime factorization of 270?
270 = 2 x 3 x 3 x 3 x 5 = 2 x 3^3 x 5
ok done. Thank to me :>
Answer:
2x3x3x3x5
Step-by-step explanation:
if your doing this on time4learning lesson type 5x2x3x3x3 to get it right it worked for me but it didnt work in any other order
11.2+X=-24.7. what is X
After doing some quick calculations, we can determine that X = −35.9
I hope this helps! :)
Answer:
x = -35.9
Step-by-step explanation:
Subtract both sides by 11.2 11.2 - 11.2 equals zero leaving x on one side.
x = - 24.7 - 11.2
A negative minus another negative number is a larger negative number.
x= -24.7 - 11.2 = -35.9
x = -35.9
name the parts mentioned in the figure below
please answer this
Answer:
O - point
CD- chord
AB- diametre
I dont know PO sorry
Answer:
O is the center.
AB is the diameter.
OP is a radius.
CD is a tangent.
By the way the combination of letters is the two points that it relates too.
Step-by-step explanation:
hope this helps. . .<3
Find complex numbers z=(x,y) such that
[tex]z ^{2} = - 5 - 12i[/tex]
Answer:
I don't know..,.............,,.,.......,
5. A 32 foot tree casts a 60 foot shadow as shown below. A man next to the tree casts a 12 foot shadow. How tall
is the man? Justify your solution
Answer:
Step-by-step explanation:
The shadow length will be proportional to height
12 / 60 = h / 32
h = 12(32)/60 = 6.4 ft or 6 ft 4.8 inches
Find the missing term 81:18=?:8
Answer:
81/10 or 10
Step-by-step explanation:
81:18 - 8 = 81/10 simplified
sorry if am wrong i tried :L
. Consider the set {7,8,9), a subset of this set includes:
{2,3}
b. {5,63
c. none of these
d. {10,11
Answer:
Option "C" none of these is the correct answer.
Step-by-step explanation:
The subset of the set {7, 8, 9} must have the elements of this set only.
Hope this helps :)
Order of operations and cross
reduce:
I got 20/3 but I think I’m wrong
Answer:
130/81
simplified: 1 49/81
Step-by-step explanation:
I did the math
Function or non functional? Pls help ty :3
sole the inequality x-8>-4
Answer:
[tex]x>4[/tex]
Based on this, we know the correct number line will be an empty bubble with a line going to the right of 4.
Step-by-step explanation:
[tex]x-8>-4[/tex]
add 8 to both sides of the inequality
[tex]x>4[/tex]
What property is illustrated by the statement? 5(- 7 10 )=(- 7 10 )5 A) Commutative Property of Multiplication B) Commutative Property of Addition C) Associative Property of Multiplication D) Associative Property of Addition
Answer:
commutative property of multiplication
Step-by-step explanation:
Name the property used: commutative property of multiplication
Answer: commutative property of multiplication
Two more than the quotient of a number and 4 equals 6
Answer:
2 + (n/4) = 6
Step-by-step explanation:
Answer:
2+(n÷4)= 6
Step-by-step explanation:
hope it helps u
plzz plzzzz plzzzz mark as brainliest
Describe how the point-slope formula is useful when writing the equation of a trend line
Step-by-step explanation:
if you observe the graph the y values increase as the x value increase.
so it has a possitive association.
if the value of y increase as the value of the x increase then data has positive association.
List all the factors pairs in the table 64
(1, 64), (2, 32), (4, 16), (8, 8).
Answer:
1 x 64
2 x 32
4 x 16
8 x 8
Step-by-step explanation:
Factors of 64: 1, 2, 4, 8, 16, 32 and 64.
Pairs:
1 x 64
2 x 32
4 x 16
8 x 8
Hope this helps :)
Suppose that we compute a 90% confidence interval for an unknown population mean . Which of the following is a correct interpretation?
90% of all possible
Solve for w.
16w–w–12w–2w=13
w=
Answer:
w = win
Step-by-step explanation:
w=13
Answer:
w = 13
Step-by-step explanation:
16w - w = 15w
15w - 12w = 3w
3w - 2w = w
w = 13