Answer:
i. 1.63 s
ii. The negative time cannot be used in this context
Step-by-step explanation:
i. Since h = −640t² and the rocket descends 1,690 m, h = -1,690 m (since there is a drop in height).
So, h = -640t²
t² = h/-640
t = √(- h/640)
Substituting h into the equation, we have
t = √(- h/640)
t = √[-(-1,690)/640]
t = √2.640625
t = 1.625
t ≈ 1.63 s
ii. So, the negative time cannot be used in this context because, the height drop is negative.
im supposed to solve this, but im first supposed to convert the bases to be the same and thats what im struggling with
9514 1404 393
Answer:
1
Step-by-step explanation:
From your knowledge of multiplication tables, you know that ...
8 = 2×2×2 = 2³
4 = 2×2 = 2²
so the problem can be rewritten as ...
[tex]\dfrac{8^4}{4^6}=\dfrac{(2^3)^4}{(2^2)^6}=\dfrac{2^{3\cdot4}}{2^{2\cdot6}}=\dfrac{2^{12}}{2^{12}}=\boxed{1}[/tex]
__
The applicable rule of exponents is ...
(a^b)^c = a^(bc)
______
Alternate solution
You could use 8^2 = 64 and 4^3 = 64. Then this is (8^2)^2/(4^3)^2 = 64^2/64^2, where the common base is 64, not 2.
Solve by completing the square.
d^2 − 6d = 19
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
d = or d =
Help would be appreciated as well as how to get the answer!
Answer:
Here's the answer
Step-by-step explanation:
Hope it will help.
The length of a rectangle in centimeters is two more than thrice its width. a) Write an expression, in the simplest form, for the perimeter of the rectangle. b) Find the length of the rectangle if the perimeter is 36 cm
Answer:
Perimeter of the rectangle = 8 x +4
Length of the rectangle = 12 units.
Step-by-step explanation:
Let the width of the rectangle as 'x' units.
So, length of the rectangle is 2 more than 3 x.
We can set up expression for length as 3 x+2.
Now, perimeter is sum of all side lengths of the rectangle.
So, perimeter = x+x+3 x+2 +3 x+2
Combine like terms,
Perimeter = 8 x+4
Now, it is given perimeter is 36cm
So,
8 x+4=36
Subtract both sides 4
8 x=32
Divide both sides by 8
x=4
So, width of the rectangle =4
Length =3(4) +2=14
What is 3 X 5 (0 + 2) - 4?
Simplify
PLS HELP REALLY NEED THIS
A circular flower bed is 17 m in diameter and has a circular sidewalk around it that is 2 m wide. Find the area of the sidewalk in square meters. Use 3.14 for π.
The area of the sidewalk is __ m2.
Answer: 56.55 m^2
Step-by-step explanation:
What is the lateral surface area of this rectangular prism in square centimeters
Answer:
give me sec waitttttttt give me sec is their any answer choice
Determine the coordinates of the y-intercept of the function shown in the graph.
A)(0, -1)
B)(2, 0)
C)(0, 2)
D)(-1, 0)
Which data set could be represented by the box plot shown below?
Answer:
The answer is C
Step-by-step explanation:
It starts at 25 and then it stops at 38.
I hope this helps!
Answer:
hi
Step-by-step explanation:
Which expression represents the determinant of A=[-6 -7 -4 -2
]
Answer:
C) det(A) = (–6)(–2) – (–4)(–7)
Step-by-step explanation:
The determinant is ad-bc so when you plug in the numbers you get this answer. Also I got it right on Edge 2021 :)
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. . 4,2,1,...
Answer: Geometric sequence
Step-by-step explanation:
The common ratio will be:
= 2nd term / 1st term
= 2/4
= 1/2
Also, Using thw 3rd and 2nd term gives:
= 1/2
Common difference will be:
= 2nd term - 1st term
= 2 - 4
= -2
Using thw 3rd and 2nd term gives:
= 1 - 2
= -1
From the above, we can see that it's a geometric progression as the common ratio is thesame.
A shirt is originally priced at $24.5. the shirt goes on sale for 30%off the original price. How much money in dollars does the shirt cost including 7% on the tax on the slaeprice
Answer:
18.3505
Step-by-step explanation:
A truck travels 333 km in 6 hours. What is the truck’s speed for that trip?
Answer:
55.5 km
Step-by-step explanation:
speed=distance/time
55.5= 333/6
Answer:
55.5 km per hour
Step-by-step explanation:
The simple formula is D_S-T
D is at the top for Distance
S is down to the left for speed
And T to the right as Time
Its simple so just take
Distance: 333km
Time: 6 hrs
333÷5=55.5/1
Question 6
1 pts
Johnny is going bowling.
1.) The cost per game is $2.50.
2.) Johnny will need to rent a pair of shoes for $1.50.
3.) He can spend up to $16.00 total.
What is the maximum number of games that Johnny can bowl?
You need to show the inequality and give the answer for complete credit.
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Tools Table
Factor 6d^2−21d...The factored polynomial is _.
Answer:
d = 7/2Step-by-step explanation:
6d² - 21d = 0
d (6d - 21) = 0
6d - 21 = 0/d
6d - 21 = 0
6d = 21
d = 21÷6
d = 7÷2
A patrol officer used radar to note the speeds of cars, in miles per hour, as
they went by on the highway
65, 66, 63, 56, 56 50, 85, 61, 73, 81
How fast will the next car need to be going to change the median speed of
the cars to 63 miles per hour?
A. 80 miles per hour
B. 75 miles per hour
C 65 miles per hour
D 61 miles per hour
Answer: 61 miles per hour.
Step-by-step explanation:
The median is the number that's placed in the middle when the given numbers are either arranged in the ascending it the descending order.
In this case we are already given the speed of the cars as 65, 66, 63, 56, 56 50, 85, 61, 73, 81. We will therefore arrange them in ascending order and this will be:
50, 56, 56, 61, 63, 65, 66, 73, 81, 85.
To change the median speed of
the cars to 63 miles per hour, the 6th number when arranged in ascending order has to be 63. Therefore, in thus case, we will need a speed lessee than 63 miles pee hour. Therefore, option D is the answer.
When we re-arrange with the new speed included. This will be:
50, 56, 56, 61, 63, 63, 65, 66, 73, 81, 85.
Therefore, we can see that the median is 63.
Can someone help me please
Answer:
i only know cos
cos0 = 8/9
Step-by-step explanation:
Please help I'm very confused on this
Answer:
They are adjacent,
4x+2x=90°
6x=90°
x=90/6
x=45/3=15°
Step-by-step explanation:
In order for a rhombus to be proven using either its sides or angels, it must first be proven to be a
Answer:
It must be proven to be a quadrilateral
Step-by-step explanation:
The question is straightforward, and it requires a direct answer.
A rhombus has four sides and as such it means it is a type of quadrilateral.
So, before a shape is proven to be a rhombus, it has to first be proven to be a quadrilateral.
How long (in years) would $900 have to be invested at 11.3%, compounded continuously, to earn $500 interest? (Round your answer to the nearest whole number.)
Answer:
6.13 years
Step-by-step explanation:
The computation of the number of years is shown below:
As we know that
Amount = Principal ×e^{rate,time period}
($900 + $500) = $700 × e^{11.3%, time period}
$1,400 = $700 × e^{11.3%, time period}
ln(2) = 0.113× time period
0.693147181 ÷ 11.3 = time period
= 6.13 years
You spin a spinner and pick a card. How many outcomes are possible
Answer:
20
Step-by-step explanation:
5 outcomes from spinner, 4 from cards.
5x4=20
The solution is, the total number of possible outcomes 30.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
Explanation:
Given:
To find:
The number of possible outcomes
The first event(flipping a coin) has 2 possible outcomes = Head or Tail
The second event(picking a card) has 5 possible outcomes = P, Q, R, S, T
The third event (spinning the spinner) has 3 possible outcomes = 1, 2, 3
So the total number of possible outcomes = 2 * 5 * 3 = 30
Hence, The solution is, the total number of possible outcomes 30.
To learn more on probability click:
brainly.com/question/11234923
#SPJ2
Consider the figure shown. what is the measure of the given angles?
Step-by-step explanation:
180°=46° +2x=> 2x=134°=>x=67°
x+y=180°=>y=180° -x=>y= 180°-67°=>y=113°
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Answer:
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Question: Jlm has a total of 77 red and blue marbles. The number of blue marbles is five more than twice the number of red marbles.
a. Write a pair of linear equations to represent the information Be sure to state what the variables represent. b. Explain the substitution method of solving this pair of equations Solve the equations to find the number of red marbles. Show your work
Answer:
24 red and 53 blueStep-by-step explanation:
Red marbles = rBlue marbles = bRequired equations:
r + b = 77b = 2r + 5Substitute b into first equation:
r + 2r + 5 = 773r = 72r = 24Find b:
b = 2*24 + 5 = 53pls, what is surface area?
Answer:24
Step-by-step explanation:
Answer:
24 mm²Step-by-step explanation:
The cube has 6 equal faces.
Each face has area:
A = 2*2 = 4 mm²Total surface area:
S = 6*4 = 24 mm²what is the missing side length in the triangle below
Please give me step-by-step explanation please :’))
Answer:
45
Step-by-step explanation:
A diver went 24 feet below the surface of the ocean, and then 47 feet down. What is the diver's new position relative to the surface?
Write an expression to represent the problem, and solve.
Answer:
71 feet below the water.
Step-by-step explanation:
x=the divers position relative to the surface
when x=0, the diver is at the surface.
when x=-24, the diver is 24 feet below the surface, therefore -24-47=-71.
As a small step to save the environment, Luna came up with an idea for her sweet shop. In exchange for five eclaire boxes, that she gets, she decided to give an eclaire box for free. A group of kids from the locality ate seventy-seven eclaire boxes that week and they collected the boxes to give to Luna and get back eclaires boxes.
How many eclaires boxes do you think they can buy from Luna using the seventy-seven claire boxes?
Answer: 15
Step-by-step explanation:
From the question, we can infer from the information given that:
5 eclaires boxes = 1 free eclaires box.
Therefore, to get the number of eclaires boxes that the kids will get if they bring 77 eclaires boxes, we have to divide 77 by 5 and this will be:
= 77 / 5
= 15.4
= 15
The group of kids will receive 15 free boxes
Blank plus 1/2 equals 8/10
Answer:
3/10 + 1/2 = 8/10
Step-by-step explanation:
? + 1/2 = 8/10
To figure this out, you would subtract 8/10 from 1/2. But first, you want to find a common denominator.
1/2 = 5/10
8/10 - 5/10 = 3/10
3/10 can not be reduced anymore so that would be your answer.
A rectangular tank of length 22cm, width 9cm and height 16cm is filled with water. The water is poured into a cylindrical container of radius 6cm.Calculate the volume of the rectangular tank
Answer:
3168 cm³
Step-by-step explanation:
From the question,
The volume of the rectangular tank = Length×width×heigth
V = lwh.................... Equation 1
Where l = length, w = width, h = heigth.
Given: l = 22 cm, w = 9 cm, h = 16 cm
Substitute these values into equation 1
V = 22×9×16
V = 3168 cm³
Hence the volume of the rectangular tank is 3168 cm³
