The distance Margarita covers in [tex]\( \frac{s-5}{4} \)[/tex]hours is [tex]\( \frac{1}{4} \)[/tex] miles.
Given that Margarita is driving at the speed of [tex]\( \frac{s-4}{s^2 - 9s + 20} \)[/tex] miles per hour, we can express the distance function as:
[tex]\[ d(s) = \text{speed} \times \text{time} = \left( \frac{s-4}{s^2 - 9s + 20} \right) \times s \][/tex]
[tex]\[ d\left(\frac{s-5}{4}\right) = \left( \frac{s-4}{s^2 - 9s + 20} \right) \times \frac{s-5}{4} \][/tex]
Let's simplify this expression:
[tex]\[ d\left(\frac{s-5}{4}\right) = \frac{(s-4)(s-5)}{4(s^2 - 9s + 20)} \][/tex]
[tex]\[ d\left(\frac{s-5}{4}\right) = \frac{s^2 - 9s + 20}{4(s^2 - 9s + 20)} \][/tex]
[tex]\[ d\left(\frac{s-5}{4}\right) = \frac{1}{4} \][/tex]
How to know if a line is parallel perpendicular or neither?
Three interior angles of a quadrilateral measure 55, 117 and 120 degrees. What is the measure of the fourth interior angle?
4 angles = 360
120 + 117 +55 = 292
360-292 = 68
4th angle = 68 degrees
Boats can travel anywhere between 50 and 150 kilometers per hour. Choose a speed between 50 and 150. Convert the speed you chose into meters per second and explain how you set up the conversion factor.
PLEASE HELP ASAP:))) I WILL GIVE YOU BRAINLEST ANWSER
(use the graph)
The picture below shows the dependence of the breaking distance on its speed on a dry road (curve OA), on a wet road (curve OB), on an icy road (curve OT). Answer the following questions:
a) What is the breaking distance of the car at a speed of 50 kilometers per hour in each case?
On a dry road : m
On a wet road : m
On an icy road : m
b) What should be the car’s speed in all three cases so that the breaking distance doesn’t exceed 60 meters?
On a dry road : the highest speed should be km/h
On a wet road : the highest speed should be km/h
On an icy road : km/h
Identify the transformation that maps the figure onto itself.
A) rotate 180° clockwise about (8, 4) and reflect across the line y = 1
B) rotate 180° clockwise about (8, 4) and reflect across the line x = 8
C) rotate 180° clockwise about (7, 1) and reflect across the line y = 1
D) rotate 180° clockwise about (7, 1) and reflect across the line x = 8
Use implicit differentiation to find the slope of the tangent line to the curve 4 x^2 - 3 xy + 4 y^3 = -113 at the point ( -1,-3 ).
What is the x-intercept of the function graphed below?
Answer:
Option C is correct
(-8, 0)
Step-by-step explanation:
x-intercept:
The point where function cuts x-axis that is point where y = 0.
Given that:
A graph with equation of line.
we have to find the find the x-intercept of the function graphed.
By definition of x-intercept.
From the given graph,
it can be seen clearly that the given line crosses that x-axis at (-8, 0)
⇒x-intercept = (-8, 0)
Therefore, the x-intercept of the function graphed is, (-8, 0)
You are dealt one card from a 52-card deck. find the probability that you are not dealt: a heart.
The temperature of dry ice is −109.3°f−109.3°f. this is 184.9°f184.9°f less than the outside temperature. write and solve an equation to find the outside temperature tt (in degrees fahrenheit).
Final answer:
To find the outside temperature T when the temperature of dry ice is -109.3°F, and it is 184.9°F less than the outside temperature, we simply need to add those two numbers. The outside temperature T is found to be 75.6°F.
Explanation:
The student is asked to find the outside temperature T given that the temperature of dry ice is −109.3°F. The temperature of dry ice is 184.9°F less than the outside temperature. To find the outside temperature, we can set up the following equation:
T = (-109.3°F) + 184.9°F
Now, we simply add the two numbers to solve for T:
T = 75.6°F
The calculation shows that the outside temperature T is 75.6°F.
How much money should a student place in a time deposit in a bank that pays 1.1% compounded annually so that he will have Php 200,000.00 after 6 yrs?
Let us say that:
P = present value
F = future value
i = interest rate
n = period
P = F / [ (1 + i ) ^n ]
P = 200000 / [ (1 + 0.011) ^6 ]
P = 187293.65
Therefore the student must put up Php 187,293.65
if f(x)= 5x +40 what is f(x) when x= -5
find the product of (a²+b)(2a²-5b)
5c+2(10−c) ????????
(x+8) - (X-8) ?????
-7+n/5= -11 can someone help me I'm bad a math
In how many ways can Jasmine draw a blue or a yellow marble from a jar containing 28 blue marbles and 7 yellow marbles?
Hans is planting a garden with snapdragons and daisies. The table shows some possible combinations of the two plants. If Hans plants 29 daisies, how many snapdragons will he plant? The equation __ models the scenario. Hans will plant ___ snapdragons.
Answer:
the equation: x=45-y . models the scenario
Hans will plant: 16 . snapdragons
Step-by-step explanation:
did it on edge 2021
If the width of the rectangle is three times the length and the perimeter of the rectangle is 72 ft, what are the length and width of the rectangle?
What is 2 1/5, 2.25, 8/20, 2.8 all
from least to greatest
Find the volume of a cube that will hold sixty-four 4.19 in3 toy bouncy balls. (round to nearest whole number)
we know that
The volume of the ball (sphere) is equal to
[tex]V=\frac{4}{3} \pi r^{3}[/tex]
In this problem we have
[tex]V=4.19\ in^{3}[/tex]
Find the radius of the sphere
[tex]r=\sqrt[3]{\frac{3V}{4\pi}}[/tex]
Substitute the value of V
[tex]r=\sqrt[3]{\frac{3*4.19}{4\pi}}=1\ in[/tex]
for the calculation of the total volume I will assume that each ball is a cube
The volume of each ball is
[tex]V=b^{3}[/tex]
where
b is the diameter of the ball
[tex]b=1*2=2\ in[/tex]
Substitute
[tex]V=2^{3}=8\ in^{3}[/tex] ------> volume of each ball in the shape of cube
so
Multiply by [tex]64[/tex]
[tex]64*8=512\ in^{3}[/tex]
therefore
the answer is
[tex]512\ in^{3}[/tex]
What is the value of x in the equation below?
–3 – (–8) – (–2) = x
If I'm not mistaken (it's been a while since I was in school) I believe the answer is x=11.
Plz help! Identify which operation will undo the operation in the equation (i.e. if you are given a ______________________, then you divide. If you are given ______________, then you multiply them)
let f(x)=3x^2-x+2 and g(x)= 5x^2-1. find f(g(x))
Answer:
15x^4-5x^2+1
Step-by-step explanation:
g(x)=5x^2-1 and f(x)=3x^2-x+2
f(g(x))would mean that g(x) would be x in f(x).
So f(g(x) would be 15x^4-3-5x^2+1+2
simplified would be 15x^4-5x^2+1
Quadratic inequalities
A perpendicular bisector intersects a segment at a right angle. Which of the following objects can a perpendicular bisector be? A. Ray, line, or line segment B. Line segment C. Ray D. Line or line segment
Answer with explanation:
The meaning of Perpendicular Bisector is ,to divide the segment into two equal parts , and angle between given segment and either ray or line or line segment which is used as perpendicular bisector has measure of angle equal to 90°.
A ray has a end point ,and other end goes infinitely in other direction.
A line has no end point in either direction.It goes till infinitely in both direction.
A segment has both ends fixed,does not go till infinity in either direction.
The perpendicular bisector can be any of the following:
A.⇒ Ray, line, or line segment
How many diagonals can be drawn from one vertex of a hexagon
Nine diagonals can be drawn from the vertex of a hexagon.
What is diagonal?A diagonal of a polygon is a line segment joining two vertex points, excluding the sides of the polygon.
The formula used to find the number of diagonals of a polygon is
(n(n-3))/2
where n is the number of sides of the polygon.
A hexagon has six sides. So, n=6.
The number of diagonals in a hexagon is given by
(6(6-3))/2=9
Hence, a hexagon has nine diagonals.
To learn more about diagonals, use the link given below:
https://brainly.com/question/12274248
#SPJ2
What is the average speed of a cheetah that runs 90 meters in 2.8 seconds?
the recommended dosage of a drug for pediatric patients is 200 mg per kilogram of a patients weight if janine weights 76lb how much of the drug should she get
To determine the dosage of a drug for Janine, who weighs 76 pounds, convert her weight to kilograms and then multiply by the recommended dose per kilogram. The conversion and the dose calculation led to approximately 6894.6 mg of the drug.
The recommended dosage of a drug for pediatric patients is 200 mg per kilogram of the patient's weight. To calculate the dosage for Janine, who weighs 76 pounds, we first need to convert her weight from pounds to kilograms, as dosages are usually measured in metric units. To do so, we use the conversion factor where 1 kilogram equals 2.20462 pounds.
First, we convert Janine's weight to kilograms:
[tex]\frac{76}{2.20462}[/tex] lb/kg = 34.473 kg roughly.
Next, we calculate the total dosage needed in milligrams by multiplying her weight in kilograms by the dosage per kilogram:
34.473 kg * 200 mg/kg = 6894.6 mg.
Therefore, Janine should receive a dose of approximately 6894.6 mg of the drug.
Gail owns a small business. There was a profit of $43 on Saturday and a loss of $48 on Sunday. Find the total profit or loss for the weekend.
A) $5 profit
B) $5 loss
C) $91 loss
D) $91 profit
The root x = 1 has multiplicity 3 for the function f(x)=x^3-x^2-x+1. True or false
The root x = 1 has multiplicity 3 for the function f(x) = x³ - x² - x + 1.
Explanation:The statement is true.
A root of a polynomial function has a multiplicity equal to the number of times it appears as a factor in the polynomial. In this case, the root x = 1 appears three times as a factor in the function f(x) = x³ - x² - x + 1. Therefore, it has a multiplicity of 3.
John has on his shelf four books of poetry, four novels, and two reference works. suppose from these ten books, we were to pick two books at random. what is the probability that we pick one novel and one reference work? (a) 1/2
The probability isf 8/45.
Probability calculation:
Calculate the total number of ways to pick 2 books from the 10 books, which is 10 choose 2 = 45.
Calculate the number of ways to pick 1 novel and 1 reference work, which is 4 choose 1 for novels * 2 choose 1 for reference works = 8.
Divide the number of favorable outcomes by the total outcomes to get the probability: 8/45 = 8/45.