Answer: f 500 Ft./sec
Step-by-step explanation:
By evaluating the derivate of the distance in t = 10s, we will see that at t = 10s the distance is changing at a rate of 464.2 ft/s
We can think of the situation as in a right triangle, one cathetus is equal to 2000ft, and the other cathetus increases at a rate of 500ft/sec.
The hypotenuse would be the distance between the radar and the rocket.
Then the distance function is:
[tex]D(t) = \sqrt{(2000ft)^2 + (500ft/s*t)^2}[/tex]
Now we need to get the rate of change, this is given by:
[tex]\frac{dD(t)}{dt} = (1/2)*\frac{2*(500ft)^2*t}{\sqrt{(2000ft)^2 + (500ft/s*t)^2} }[/tex]
Now we evaluate this in t = 10s to get:
[tex]\frac{dD(10s)}{dt} = (1/2)*\frac{2*(500ft/s)^2*10s}{\sqrt{(2000ft)^2 + (500ft/s*10s)^2} } = 464.2 ft/s[/tex]
If you want to learn more, you can read:
https://brainly.com/question/18904995
If tan^2 = 1-a^2, then the value of sec+tan^3 cosec is
Pls explain fast
Answer:
for example okk then you will try
Answer: (1) (2 – e2)3/2
Solution:
Given,
tan2θ = 1 – e2
sec θ + tan3θ cosec θ
= sec θ + (sin3θ/cos3θ) (1/sin θ)
= sec θ + tan2θ sec θ
= sec θ(1 + tan2θ)
= √(1 + tan2θ) (1 + tan2θ)
= (1 + tan2θ)3/2
= (1 + 1 – e2)3/2
= (2 – e2)3/2
Find the ending balance if $500 was deposited at 5% annual interest compounded quarterly for 3 years.
Answer:
$575 ,
Step-by-step explanation:
5% of $500 is only $25
multiply that by 3YRS due to annual interest it would amount too
an addition $75 dollars so the answer is $575
What number is 32% of 75? Type a numerical answer in the space provided. Do not type spaces in your answer.
Answer:
24
Step-by-step explanation:
75 x .32 = 24
Answer:
32 percent of 75 is 24
Four glasses of milk and 3 snack bars have a total of 96 carbohydrates (carbs), and 2 glasses of milk and 4 snack bars have
many carbs are in one glass of milk and in one snack bar,
total of 78 carbs. Determine how many carbs are in one glass of milk
Answer:
Each snack bar contains 12 carbs and each milk contains 15 carbs.
Step-by-step explanation:
Let M be the carbs in milk and S the carbs in a snack bar.
We are told:
4M + 3S = 96, and
2M + 4S = 78
===
We can eliminate one of the variables and then solve for the other. Let's multiply the second equation by -2 and then add it to the first. This will eliminate the M:
4M + 3S = 96
-4M - 8S = -156
-5S = - 60
S = 12
Each snack bar has 12 carbs. Use either equation to find M. I'll use the second:
====
2M + 4S = 78
2M + 4*(12) = 78
2M + 48 = 78
2M = 30
M = 15
Each milk contains 15 carbs
100 POINTS!! WILL MARK BRAINLIEST
NEED RESPONSE ASAP PLEASE AND THANK YOU!!
A feasible region is bounded by the constraints:
y ≤ 20-x
{ y ≥ 20-4x
y ≥ 5-0.25x
The objective function is P = 3x + 5y.
(a) Graph the feasible region.
(b) Find the value of the objective function at each vertex of the feasible region.
(c) What is the minimum value of the objective function, P?
(d) At which vertex point does the minimum value occur?
Show all work.
Answer:
1) b. at vertex ( 0,20) P = 5(20) = 100 at vertex ( 4,4) P = 3(4) + 5(4) = 32 at vertex (20,0) P = 3(20) = 60 c. x = 4 , y = 4 2) x-intercepts x 1 = 1.66667, ...
Step-by-step explanation:
Hello! Please answer this ASAP. Thanks!
Answer:
x=3
Step-by-step explanation:
Twenty divided by four is five. You would divide fifteen by five to get three. so X=3.
Riley and Rhoda plan to buy several bags of dog food and a dog collar. each bag of food cost $7, and the dog collar cost $5.
Answer:
matters on amount of dog food bought
Step-by-step explanation:
12 for 1 bag
19 for 2 bags
26 for 3 bags
33 for 4 bags
what’s the operation
inverse or reciprocal
p=??
Answer:
The inverse means opposite operation, such as addition and subtraction are inverse operations, whereas the reciprocal refers to the inverse of any value, also called the multiplicative inverse. What is Another Word for Multiplicative Inverse? Reciprocal is another word for the multiplicative inverse.
Step-by-step explanation:
Divide 31.50 / 2.50 step by step. Write is out on paper if you can. :D
Answer:
12.6 you divide 31.50 by 2.50 pretend the decimal signs aren't there.
2÷2563783939282727262626266262534434262788900
Answer:
128189196964136363133131267217131394450
Step-by-step explanation:
hope this is helpful
Please helppppppppppppp
equilateral triangle
The cookie's diameter is 14 cm. How much is the radius?
Answer:
7Step-by-step explanation:
The cookie's diameter is 14 cm. How much is the radius?
diameter = 2 * radius
radius = 1/2 diameter
14 : 2 = 7
please answer this question i’m literlly failing and don’t know how to do this
Answer:
6 or 3 because my is the opposite of yx so I would think it'll be 6 or 3
Check the given measurements whether it could make a triangle
(a) 7 cm, 2 cm and 5 cm
(b) 10 cm, 12 cm and 14 cm.
I don't know sorry.
Sorry!
alberto started out bench pressing 40 pounds, he then added 5 pounds every weeks
4.) Mr. Lakey is a taxi cab driver. He earns $5.00 hour plus tips. One week he works 40
hours, receiving $287 in tips. Find his weekly gross income.
Answer:
120$
Step-by-step explanation:
Which of the following statements justifies why the triangle shown below is not a right triangle?
Z
O A. 42 +122132
OB. YZ + XZ > XY
OC. XZ
O D. YZ
SUBMIT
please help
None of the options are correct. And the given triangle is a right-angle triangle.
Given that,
Which of the following statements justifies why the triangle shown below is not a right triangle is to be determined.
The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
A triangle that follows the Pythagoras theorem, are right an angles triangle,
For the given triangle,?
13² = 4² + 12²
169 = 25 + 144
169 = 169
So, the given triangle holds the property of Pythagoras' theorem,
Thus, None of the options are correct. And the given triangle is a right-angle triangle.
Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ2
14a + 2 =
Please help
Answer: ( 2 x 7 ) a + 2
Step-by-step explanation:
Help I’ll give brainylist in return thank you
Answer:
They are similar by AA
Step-by-step explanation:
Angle B and C are similar as well as angle ABE and DCE are similar
May I please get help i really dont understand, and would like some help
Please and thank you!
Answer:
8 days
Step-by-step explanation:
Every day, 1.26 stock is returned. You want to find the number of days until it reaches 10.08, so create an equation. x represents days.
1.26 * x = 10.08
x = 8
Savannah is deciding between two parking garages. Garage A charges an initial fee of $9 to park plus $1.50 per hour. Garage B charges an initial fee of $4 to park plus $2.50 per hour. Let A A represent the amount Garage A would charge if Savannah parks for t t hours, and let B B represent the amount Garage B would charge if Savannah parks for t t hours. Graph each function and determine which garage would be cheaper if Savannah needs to park for 6 hours.
Answer:
A = 10 + 3t
B = 3 + 4t
if t = 12 , then A = 10 + 3(12) = $46, B = 3 + 4(12) = $51.
So Garage A is cheaper for 12 hours
Step-by-step explanation:
hope this helped!
what is the greatest number of relative maximum that a polynomial of degree 15 can have? Select the right answer among them 1. 14 2. 6 3. 9 4. 7 5. 4
Answer:
7
Step-by-step explanation:
The greatest number of relative maxima it can have is 14.
So, the correct answer would be option (1) 14.
Use the concept of a polynomial defined as:
An expression that consists of exponents, variables, and constants and that is combining many different mathematical procedures:
Addition, subtraction, and multiplication is referred to as polynomial.
Given that,
The degree of polynomial = 15
The objective of this question determine the number of relative maxima it can have.
The number of relative maxima that a polynomial can have is equal to its degree minus 1.
In this case:
The polynomial is of degree = 15,
Hence,
The greatest number of relative maxima it can have is 15 - 1 = 14.
So, the correct answer would be option (1) 14.
To learn more about polynomials visit:
https://brainly.com/question/11536910
#SPJ3
PLSSSSSSSSS I WILI WILL GIVE BRAINLIEST PLSSSSSSSSSSS
The area of a rectangle is 3/4 square yards. If the width of the rectangle is 3/5, what is the length?
JUST TELL ME HOW TO FIND THE ANSWER
Answer:
Divide 3/4 by 3/5 to get 1 1/4.
Step-by-step explanation:
To find area, you multiply the length by the width. However, they gave you the area and the width. Therefore, you divide the width by the area (I think).
3/4 divided by 3/5 = 1 1/4
The length is 1 1/4.
Will give brainly crown
Jared’s average daily balance for last month was $560. The finance charge was $8.12.
a. What was the monthly percentage rate?
b. What was the APR?
Answer:
A) monthly percentage rate = 1.45%
B) APR = 17.4%
The monthly percentage rate was 1.45 % and the annual percentage rate was 17.4%.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
We have been given that Jared’s average daily balance for last month was $560. The finance charge was $8.12.
We have to determine the monthly percentage rate.
The monthly percentage rate is the percentage ratio of the finance charge to the average daily balance.
The monthly percentage rate = finance charge / average daily balance
The monthly percentage rate = $8.12 / $560 × 100
The monthly percentage rate = 0.0145 × 100
The monthly percentage rate = 1.45 %
The Annual percentage rate = 12 × monthly percentage rate
The Annual percentage rate = 12 × 1.45 %
The Annual percentage rate = 17.4 %
Therefore, the monthly percentage rate was 1.45 % and the annual percentage rate was 17.4%.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ5
Please.....................
Answer:
B
Step-by-step explanation:
ill give u brainlist :)
Please help me with this question.
Answer:
The answer would be 6.66666666667 to be exact or just 6.66.
-Herobrine
Brainliest will be appreciated thank you!
Answer:
6.6 or 6.66
Step-by-step explanation:
( xy-1 )^ 2 - ( y-1 ) ^2
help pleaseeeeeeeeeeee
[tex](xy-1)^2-(y-1)^2\\\\=(xy - 1 - y+1)(xy-1+y-1)~~~~~~;[a^2-b^2 = (a-b)(a+b)]\\\\=(xy-y)(xy+y-2)\\\\=y(x-1)(xy+y-2)[/tex]
Nicole is running for school president. Her best friend designed her campaign poster, which measured 3 feet by 2 feet. Nicole liked her poster so much, she reproduced the artwork on rectangular buttons that measured 2 inches by 1 1/3 inches. What is the scale factor?
Answer:
1 feet = 12 inches3 feet = 36 inchesLarger of buttons dimension is 2 inches
Step-by-step explanation:
15) Which of these is equivalent to -5pie rad ?
A) -1800°
B) -900°
C) -72°
D) -36°
Answer:
-900
Step-by-step explanation: