Answer: 245 feet
Step-by-step explanation:
Given: The height of the rocket after t seconds is represented by the formula:
[tex]h=70t-5t^2[/tex]
[tex]\dfrac{dh}{dt}=70-10t[/tex] [Differentiate both sides w.r.t. t]
Put
[tex]\dfrac{dh}{dt}=0\\\\\Rightarrow\ 70-10t=0\\\\\Rightarrow\ t=\dfrac{70}{10}=7[/tex]
Also, [tex]\dfrac{d^2h}{dt^2}=-10<0[/tex] i.e. height is maximum at t=7.
Maximum height = [tex]h=70(7)-5(7)^2 = 490 - 245= 245\text{ feet}[/tex]
Hence, the maximum height the rocket reaches = 245 feet.
Keri invests £500 into an account that pays 5.5% compound interest per annum. Work out how much money Keri will have in her account after 16 years.
Answer:
500×1.055^16=1177.63
The critical points of a rational inequality arex=-4 and x = 2. Which set of points can be tested to find a complete
solution to the inequality?
O x=-4 and x=2
Ox=-5 and x =3
O x=-5, x = 0, and x = 3
O x=-4, X = 0, and x = 2
Answer:
C on EdgE
Step-by-step explanation:
2020
The required possible set of test points that includes all three intervals is x=-5, x=0, and x=3. Option C is correct.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
The set of points that can be tested to find a complete solution to the rational inequality are x=-5, x=0, and x=3. This is because the critical points divide the number line into four intervals, and one test point in each interval is needed to determine the sign of the rational function in that interval. Since there are three intervals, we need three test points. One possible set of test points that includes all three intervals is x=-5, x=0, and x=3.
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Show 1 1/4 on a number line out of 4
You deposit $6000 in an account earning 2% interest compounded monthly How much will you have in the account in 10 years
The amount is $7327.49 and the interest is $1327.49.
Explanation:
STEP 1: To find amount we use formula:
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
In this example we have
After plugging the given information we have
Moving company A charges you a flat rate of $30, plus $1 for every mile you move. Moving company B charges you a flat rate of $20, plus $2 for every mile you move. How many miles would you have to move so that each moving company would charge you the same total amount
Answer: 10 miles
Step-by-step explanation:
Given that :
Company A:
Flat rate = $30
Charge per mile = $1
Company B:
Flat rate = $20
Charge per mile = $2
Let x = number of miles
Company A total :
30 + x
Company B total :
20 + 2x
Miles needed To get the same total :
30 + x = 20 + 2x
30 - 20 = 2x - x
10 = x
Hence, 10 miles will be moved
So, the value of 3 in 2,304 is_
times the value of 3 in 16,135.
Answer:
10 times
Step-by-step explanation:
The first number is 2,304 and other number is 16,135.
The value of 3 in 2,304 is 300 and the value of 3 in 16,135 is 30.
[tex]\dfrac{\text{The value of 3 in 2,304 }}{\text{The value of 3 in 16,135}}=\dfrac{300}{30}\\\\=10[/tex]
It means that, the value of 3 in 2,304 is 10 times the value of 3 in 16,135.
- I made this IMPOSSIBLE Question to see who can answer it correctly
(GIVING BRAINLIEST) Reporting trolls ( reports=points loss)
Answer:
converse 3
contrapositive 1
inverse 2
conditional statement 4
Answer:
i dont know
Step-by-step explanation:
you got me good just sayian
(pls dont report i beg)
is the expression 70-(4 • 15 ) a different three terms product of two times or a difference of two term?
what was the answer I’m on the same one
tap on image to see it all.....I really need this answer please
Answer:
180-44=136 is d
then 180-136=44 44/2=22
c is 22. just remember total angle above straight line is 180, and the total angle of a triangle is also 180. And if two sides have the same length, their angles are also the same like c and a, and e and 44 degrees
Find L when P= 24 and W = 6.
P = 2L+ 2W (perimeter of a rectangle)
L =
Answer:
6
Step-by-step explanation:
24 = 2L + 2(6), multiply...
24 = 2L + 12, subtract 12 to both sides...
12 = 2L, divide 2 to both sides to isolate the varibale L
6 = L
Therefroe, L = 6
Write an expression to represent:
One less than the quotient of four and a number x
Answer:
Hi again
4/x-1
Step-by-step explanation:
Same thing
4÷x is 4/x
Less 1
4/x-1
34.65 divided by 1.5
HEEYY GUYS CAN U HELP MEE
Step-by-step explanation:
3-The two lines cannot intersect
R
b) In the given figure, show that triangle PQR is a right angled triangle.
Answer:
Given that triangle RSP is a right triangle, then using the Pythagorean Theorem, RP = 5. (3²+4²=5²)
Plugging the 5 in to triangle RPQ, we find that the Theorem still works for that one, which means it is a right triangle (5²+12²=13²)
Step-by-step explanation:
Given that triangle RSP is a right triangle, then using the Pythagorean Theorem, RP = 5. (3²+4²=5²)
Plugging the 5 in to triangle RPQ, we find that the Theorem still works for that one, which means it is a right triangle (5²+12²=13²)
Answer:
see explanation
Step-by-step explanation:
Using Pythagoras' identity in Δ PRS
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, then
PR² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )
PR = [tex]\sqrt{25}[/tex] = 5
Using the converse of Pythagoras in Δ PQR
If the longest side squared is equal to the sum of the squares on the other 2 sides then the triangle is right.
QR² = 13² = 169
PR² + PQ² = 5² + 12² = 25 + 144 = 169
Thus Δ PQR is a right triangle, with right angle at P
Simplify (4^2)^5
^ = exponent please help will award the Brainlyest
Answer:
Step-by-step explanation:
Here you go mate'
step 1
(4^2)^5 equation
step 2
(4^2)^5 multiply the equation 5 times
(4^2)(4^2)(4^2)(4^2)(4^2)
step 3
(4^2)(4^2)(4^2)(4^2)(4^2) solve
4^10
answer
4^10=1048576
Given the formula, y = 3x + 4, enter the value of y in the text box below where the value of x is 0.
y = 3x + 4
(x, y)
-2
0
2
Enter answer
Answer:
[tex]y = 3x + 4 = 3(0) + 4 = 4[/tex]
(x,y) = (0,4) is the right answer.where are my taurus’s At??
Answer:
im a scorpio but my sister in law is a taurus... :)
Step-by-step explanation:
Answer:
RIGHT HERE
Step-by-step explanation:
Four movie tickets cost $26. How much do seven movie tickets cost?
Answer:
45.5
Step-by-step explanation:
Ellie fills her car with 14.297 gallons of gas. Alivia fills her car with 14.209 gallons of gas.write an inequality statement comparing the two gas purchase.
Answer:
Ellie is gas.
Step-by-step explanation:
Inequality statement: Ellie is not equal to gas, yet she is all about gas.
What are the solutions of 15 ≤ 5 – 2(4m + 7)
Answer:
m = (-∞, -3]Step-by-step explanation:
Solving in steps:
15 ≤ 5 – 2(4m + 7)15 ≤ 5 - 8m - 148m ≤ - 9 - 158m ≤ - 24m ≤ -24/8m ≤ -3m = (-∞, -3]how do i solve -3x=-2
Answer:
x = -2/-3
Step-by-step explanation:
since you have your variable on one side and your whole number on the other, divide by -3 on both sides to get x=-2/-3
Of the volunteers donating blood in a clinic, 30% have the Rhesus (Rh) factor present in their blood. (a) If five volunteers are randomly selected, what is the probability that at least one does not have the Rh factor
Answer:
0.83193
Step-by-step explanation:
Probability of having the Rhesus (Rh) factor present in their blood; p = 0.3
Sample size; n = 5
We want to find the probability the probability that at least one does not have the Rh factor.
This will be;1 - P(X < 1)
This is a binomial probability distribution. Thus;
P(X = k) = C(n, k) × p^(k) × (1 - p)^(n - k)
P(X < 1) = P(X = 0)
Thus;
P(X = 0) = C(5, 0) × 0.3^(0) × (1 - 0.3)^(5 - 0)
P(X = 0) = 1 × 1 × 0.16807
P(X = 0) = 0.16807
Thus;
1 - P(X < 1) = 1 - 0.16807 = 0.83193
the chart shows the hourly wage for the employees at the local newspaper office what is the hourly wage of most of the employees
Answer:
In principle, minimum wages can be set for an hour of work, a week of work, or a month of work (see section 1.8 for a review)
Find the area of square that has the same perimeter as a rectangle whose length and breadth are 18cm and 8cm respectively
Answer:
169
Step-by-step explanation:
The perimeter of the square and rectangle are said to be the same. Therefore we have to find the perimeter which is :Perimeter of a rectangle= 2(length+breath)
2(18 + 8)
2(26)
52.
A square has four equal sides.
The length will be determined by dividing 52 by 4
[tex]52 \div 4 = 13[/tex]
The length is 13.
Since the area of a square is
[tex] {l}^{2} = {13}^{2} [/tex]
L is length.
The answer is
[tex] {169}^{2} [/tex]
Which does not represent two equivalent expressions?
A.) a + b = b + a
B.) 5(x + 3) = 5x + 15
C.) a + (b + c) = (a + b) + c
D.) 6(c + 2)= 6c + 2
Answer:
Step-by-step explanation:
THE CHOICE D is not equivalent
6(c+2)=6c+12
algebra 2 inverse functions
Answer:
The inverse function is:
{(1,8), (2,-1), (5,10), (-3,-3)}
Step-by-step explanation:
When a function is represented in the form of ordered pairs, the first element of each ordered pair is the input and the second element in each ordered pair is the output. In the inverse of a function the input becomes output and the output becomes input.
Given function is:
{(8,1), (-1,2), (10,5), (-3,-3)}
Reversing the order of elements of ordered pairs will given us the inverse function.
The inverse function is:
{(1,8), (2,-1), (5,10), (-3,-3)}
Determine if the two triangles shown are similar. If so, write the similarity statement.
Question 18 options:
A)
Impossible to determine.
B)
ΔGCB ∼ ΔGFE
C)
The triangles are not similar.
D)
ΔBCG ∼ ΔEFG
Answer:
C. The triangles are not similar
Step-by-step explanation:
For two triangles to be considered similar, the 3 angles of one triangle must be equal or congruent to the corresponding 3 angles of the others.
The only angle in ∆BCG that is equal to the corresponding angles in ∆EFG is <BGC. The remaining 2 angles in ∆BCG are not congruent to the corresponding 2 angles in ∆EFG.
Therefore, we can conclude that both triangles are not similar.
Question 5 of 7 -
Rick will participate in a walk-a-thon to raise money for charity. The amount he will raise based on the number of miles he walks is shown in the table, which represents a linear function
Amount Raised
Answer:
b and E
Step-by-step explanation:
B.If Rick walks 0 miles, he will raise $60.
E.
For each mile that Rick walks, he will raise an additional $60.
The total amount raised by Rick in the walk-a-thon is shown by the expression y = 60 + 60x.
Given that,
Rick will participate in a walk-a-thon to raise money for charity. The amount he will raise based on the number of miles he walks is shown in the table, which represents a linear function amount raised is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the total amount raised be y,
Amount raised per x mile is 60x,
And initial raise = 60
Total raise = y = 60 + 60x
Thus, the total amount raised by Rick in the walk-a-thon is shown by the expression y = 60 + 60x.
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This equation has one solution.
5(r–1) + 3r =7(r + 1)
What is the solution?
Answer:
R=12 is the solution
I don't know how to explain but it needs to be 20 characters
Apply the distributive property to factor out the greatest common factor.
55 + 35
Answer:5(11+7)
Step-by-step explanation: