Jenny made $221 for 13 hours of work. At the same rate, how many hours would she have to work to make $85?
Answer: Jenny would have to work 5 hours to get $85
Step-by-step explanation:
Jenny makes $17 an hour (221/13 = 17) and 85/17 is 5
Use a table of Laplace transforms to find the Inverse Laplace transform of
F(s)= [tex]\frac{3s+9}{s^2+9}[/tex]
f(t)=_____
Answer:
The inverse Laplace transform of [tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex] is [tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex].
Step-by-step explanation:
In this case, we should use the following direct and inverse Laplace Transforms:
[tex]F(s) = G(s) + H(s)[/tex] (1)
[tex]\mathcal{L}^{-1} \{\frac{s}{s^{2}+\omega^{2}} \} = \cos \omega t[/tex] (2)
[tex]\mathcal{L}^{-1}\{\frac{\omega}{s^{2}+\omega^{2}} \} = \sin \omega t[/tex] (3)
[tex]\mathcal\{L\}^{-1}\{c\cdot F(s)\} = c\cdot \mathcal\{L\}^{-1}\{F(s)\}[/tex] (4)
Then, we apply all these trasforms:
[tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex]
[tex]F(s) = 3\cdot \left(\frac{s}{s^{2}+9} \right)+3\cdot \left(\frac{3}{s^{2}+9} \right)[/tex]
[tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex]
The inverse Laplace transform of [tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex] is [tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex].
L(-5, -1)
L'd
M(-3, 1). -
M'(
N(-1,8)
Nd
Answer:
huh
Step-by-step explanation:
For the past three years, Nigel has grown 1 inches each year. How many total inches has he grown in the past three years?
find the area of the shaded region. geometry please help if your good at it. will mark brainlist
Area of shaded region = area of circle - area of segment
(where "segment" refers to the unshaded region)
Area of circle = π (11.1 m)² ≈ 387.08 m²
The area of the segment is equal to the area of the sector that contains it, less the area of an isosceles triangle:
Area of segment = area of sector - area of triangle
130° is 13/36 of a full revolution of 360°. This is to say, the area of the sector with the central angle of 130° has a total area equal to 13/36 of the total area of the circle, so
Area of sector = 13/36 π (11.1 m)² ≈ 139.78 m²
Use the law of cosines to find the length of the chord (the unknown side of the triangle, call it x) :
x ² = (11.1 m)² + (11.1 m)² - 2 (11.1 m)² cos(130°)
x ² ≈ 404.82 m²
x = 20.12 m
Call this length the base of the triangle. Use a trigonometric relation to determine the corresponding altitude/height, call it y. With a vertex angle of 130°, the two congruent base angles of the triangle each measure (180° - 130°)/2 = 25°, so
sin(25°) = y / (11.1 m)
y = (11.1 m) sin(25°)
y ≈ 4.69 m
Then
Area of triangle = xy/2 ≈ 1/2 (20.12 m) (4.69 m) ≈ 47.19 m²
so that
Area of segment ≈ 139.78 m² - 47.19 m² ≈ 92.59 m²
Finally,
Area of shaded region ≈ 387.08 m² - 92.59 m² ≈ 294.49 m²
In 2004, an art collector paid $62,817,000 for a particular painting. The same painting sold for $31,000 in 1950. Complete parts (a) through (d).
For part c, estimate the rate of change of the painting's value in 2026 but I want to know how to obtain the answer to the problem. Thanks!
Answer:
WeIIcome
Step-by-step explanation:
Which pair of triangles can be proven congruent by SAS?
Answer:
top choice
Step-by-step explanation:
For SAS, you need a side followed by an angle followed by another side of one triangle to be congruent to the corresponding parts of another triangle.
The top choice shows side-angle-side.
The middle choice shows angle-side-angle.
The bottom choice shows side-side-side.
Answer: top choice
A parabola has its vertex at (-6, 5) and focus at (-6.25, 5). Which of the following is an equation for this parabola?
Answer:
Step-by-step explanation:
vertex and focus are horizontally aligned, so parabola is horizontal.
focal length p = distance between focus and vertex = 0.25
focus lies to the left of vertex, so the parabola opens to the left.
x = a(y-k)² + h,
vertex (h,k)
a = -1/(4p)
vertex (-6,5)
h = -6
k = 5
p = 0.25
a = -1/(4·0.25) = -1
x = -(y-5)² - 6
There are 20 girls
and 12 boys in a class.
What would be the probability of
randomly selecting a girl? (Decimals please)
Answer: 240
Step-by-step explanation:
Suppose in a math class of 22 students, 14 are boys and 8 are girls. ... for a girl you have a 8 out of 22 students chance....for an A you have an additional ... 8/22+4/22 = 12/22 = 6/11. for a boy there is a 14 out of 22 chance of being a boy and an ... 14/22 + 6/22 = 20/22= 10/11 ... How to display latex properly
If a frozen turkey takes 1 day for every 4 pounds to thaw in the refrigerator and 30 minutes per pound to thaw in a bath of cold water, what is the thaw rate for frozen turkey in hours per pound using each method?
What Is The Answer
k3 - 4j +12, when k=8, j=2
Answer:
The answer would be 28
Step-by-step explanation:
You would plug 8 in where k is and 2 where j is
so (8)3 - 4(2) +12
answer is 28
6. Let f(x) = 2x5/2 and g(x) = 4x2 Find (f/g)(x). Please show work.
Answer:
8,9,10
Step-by-step explanation:
math HELPPPO MEEEEE PPZZZZ
Answer:
3x+7x
Step-by-step explanation:
Answer:
D) 3x+7x
Step-by-step explanation:
D) 3x+7x
1,2,3 or 4?
Look at the picture.
Thank u!
Answer:
option 2
4/7
Step-by-step explanation:
Multiply 4/3x3/7 = 12/21
now simplify 12/21 = 4/7
HELP HELP 100 POINTS!! Paola was given the equation y= -x + 3. Which of following is an equivalent representation of the equation.
a. f(x) = -x + 3
b. f(y) = x
c. y = -f(x) + 3
d. f(y) = -x + 3
i also need a explanation
Answer:
a. Is the answer..
Let's solve for y.
y=−x+3
Answer:
y = −x + 3 = y = −x + 3
Hence f(x) = -x + 3 is equivalent to y = −x + 3
Hope it helps
Please mark me as the brainliest
Thank you
what is 20/3 in pounds
Answer: 6 2/3 pounds.
Step-by-step explanation:
Answer:
6 2/3 pounds
Step-by-step explanation:
A group of five students have a mean test score of "34.2." Another student has a score of 50. What is the mean average of all "six" students?
State whether each pair of expressions are equivalent. Show your work.
5 ( x - 1) and 5x - 1 HELP
Answer:
Both of them are NOT equivalent.
Step-by-step explanation:
Use the distributive property to see if 5(x - 1) and 5x - 1 were equivalent.
5(x - 1)
= 5x - 5
This tells us 5(x - 1) is not equivalent to 5x - 1.
MK=24, JL= 20, And m
Answer:
Step-by-step explanation:
Answer: need a pic or more info
Step-by-step explanation:
Solve for x.
5x + 14 greater than or equal to 54
Answer:
x = 8
Step-by-step explanation:
Answer:
equal, tell me if I'm wrong
SOMEONE, PLEASE HELPP ME!!!
Ten hamburger values meals cost $60.
find the exact value of sin a = 4/5, a lies in quadrant 2, and cos B = 2/5, B lies in quadrant 1 find cos(a-b)
Answer:
Cos(a - b) = 0.959
Step-by-step explanation:
We know that:
Sin(a) = 4/5
Such that a is on the first quadrant (between 0° and 90°)
then:
Sin(a) = 4/5
Asin(sin(a)) = Asin(4/5)
a = Asin(4/5) = 53.13°
And:
Cos(b) = 2/5
Then:
Acos(Cos(b)) = Acos(2/5)
b = Acos(2/5) = 36.67°
Then:
Cos(a - b)
where:
a = 53.13° and b = 36.67°
Then:
Cos(a - b) = Cos(53.13° - 36.67°) = 0.959
plz help out zhavia out she keeps on texting me while im trying to work
Answer:
Step-by-step explanation:
increase ≤ 55-43.5
increase ≤ 11.5
Elanor can increase her speed by 11.5 miles per hour.
Please help i can’t figure out the scale factor on these polygons
Answer: Scale of 2:1
Step-by-step explanation:
All the angles are the same. So its the same polygon just bigger.
Line DA multiplied by a factor of 2 will make is as long as Line ZW.
Line AB multiplied by 2 will also make it equal to Line WX
From that we can assume that Lines XY and YZ are equal to Lines BC and CD
The table represents an exponential function. What is the multiplicative rate of change of the function? 07 1 2 un un 3 2 2 5 2 25 2. 125 O 2 4 O 5
Answer:
Step-by-step explanation:
1/5
Answer: 1/5
Step-by-step explanation:
Find the slope of the line passing through the two points ( 2, 7) and ( 6, 15)
What is the radius and diameter of the following circle? 18 cm
Radius = cm
Diameter = cm
Help pls i'm lost help
Answer:
Step-by-step explanation:
5th grade math. correct answer will be marked brainliest.
Please help ASAP. I need someone to check my Geometry answer and explain why I am right or wrong. REAL ANSWERS ONLY. 20 PTS!
Answer:
you are right
Step-by-step explanation:
Use the law of law of cos
c^2=a^2+b^2﹣2abcos√angle
(2√13)^2=52=4+36-24cos(a)
cos(a) = -12/24 = -1/2
a = 120 degrees
so yes, you are right