Answer:
6.64 seconds
Step-by-step explanation:
Given that:
Distance between roof of the terminal and ground = 709 feet
A bucket was dropped from the roof.
To find:
The time taken by the bucket to hit the ground?
Solution:
Distance traveled, [tex]s[/tex] = 709 feet
Initial velocity of the bucket, [tex]u[/tex] = 0 feet/sec (because initially it was at rest)
Acceleration of the bucket will be equal to acceleration due to gravity i.e.
[tex]g[/tex] or 32.1741 [tex]ft/sec^{2}[/tex]
Let the time taken is [tex]t[/tex] seconds.
Formula for distance is given as:
[tex]s = ut+\dfrac{1}{2}at^2[/tex]
Putting all the values:
[tex]709 = 0 (t) + \dfrac{1}{2}(32.1741) t^2\\\Rightarrow 1418 = 32.1741 t^2\\\Rightarrow t^2 = 44.07\\\Rightarrow t \approx \bold{6.64\ sec}[/tex]
Cant figure it out pls help
5y = -3x + 7
y = -3/5x + 7/5
Parallel = same slope
y = -3/5x + b
3 = -3/5 + b, b = 18/5
Standard form: Ax + By = C
y = -3/5x + 18/5
-3/5x - y = -18/5
Multiply by -5
Solution: 3x + 5y = 18
Answer: Scale factor = 2
This is the same as writing [tex]\frac{2}{1}[/tex]
===============================================
Explanation:
Focus on the left sides of each triangle. They correspond to one another. Note how RS represents the first two letters of RST; while MN represents the first two letters of MNO. We can see the order matters.
To find the scale factor, we divide MN over RS to get
MN/RS = 6/3 = 2
Therefore, the sides of triangle MNO are 2 times longer compared to the sides of triangle RST.
------------------------
Extra info:
If you want to find x, then you would solve the following
MN/RS = ON/TS
6/3 = x/5.5
6*5.5 = 3x
33 = 3x
3x = 33
x = 33/3
x = 11
or we could simply multiply ST = 5.5 by the scale factor 2 getting 5.5*2 = 11, which is the length of segment ON.
pls help. i have to write it in exponential form
X × X - X × X × X × X × X + 17= X × X × X + 2
Find the equation of the linear function represented by the table below in slope intercept form:
X|Y
1|-2
2|-1
3|0
4|1
Answer:
y=x-3
Step-by-step explanation:
What is the answer to this?
Please Help Me!!!!!!
Answer:
its C
Step-by-step explanation:
if y is 20 then you have to use the opposite of multiplication for 2/5 which would be division so 20 divided by 2/5 = 50
check answer by multiplying 2/5 and 50 to get 20
Solve the inequality. Graph the solution. 3(-b - 5) < -3
Answer:
The answer is (B)
Step-by-step explanation:
Hope it works
*
Evaluate b3 + 6 if b = 2.
Answer:
b3 +6 (plug in the given value for b and solve)
(2)3 +6 (multiply)
6 + 6 (add)
12 (your answer)
Step-by-step explanation:
I hope this helped :)
[tex]4 \cos(60 + \alpha ) \sin(30 + \alpha ) \cos( \alpha ) = \cos(30) [/tex]
Answer:
i am very bad at o math i am only at 8 sorry
Step-by-step explanation:
if you could give me a brainliest.
7th grade math help me please :))
Answer:
a) 23x
b) 8n
c) -6y
d) -17w
Explanation:
When combining like terms, if there is an addition operator, add both coefficients and carry the variable over. If there is a subtraction operator, subtract both coefficients and carry the variable over. Remember, you can only combine like terms if the variable, and exponent are the same. The addition and subtraction symbols are examples of an operator used in arithmetic. For example, 9x + 14x could be like adding 9 objects and 14 objects together, you have 23 objects total because 9 + 14 = 23. When you add negative numbers, it is like subtracting. When you subtract negative numbers, it is like adding. Negative just means opposite.
a) 9x + 14x = (9+14)x = (23)x = 23x
b) -2n - 10n = (-2+10)n = (8)n = 8n
c) 8y - 14y = (8-14)y = (-6)y = -6y
d) -6w - 11w = (-6-11)w = (-17)w = -17w
Answer:
a: 23x
b: 8n
c: -6y
d: -17w
Step-by-step explanation:
you just add/subtract the numbers then add the variable at the end
How is the formula for the area of a triangle related to the formula for the area of a parallelogram?
Answer:
The area of a triangle is one half the area of a parallelogram, or the area of a parallelogram is 2 times the area of a triangle
What is the rate of change for a linear function that passes through the points (8, 10) and (6, 14)
Answer:
-2
Step-by-step explanation:
slope = (14-10)/(6-8) = -2
please give brainliest if this helped :)
Answer:
- 2
Step-by-step explanation:
Rate of change
[tex] =\frac{14 - 10}{6 -8 } = \frac{4}{ - 2} = - 2 \\ [/tex]
Aimee and Ben are purchasing a condominium and are financing $160,000. The mortgage is a 20 year 3/1 ARM with a cap structure of 1.5/10. What will their payments be for the first 3 years?
Answer:
$1169.45
Step-by-step explanation:
Using the formula:
[tex]P = L \Big( \dfrac{c(1+c)^n}{(1+c^n) -1} \Big)[/tex]
where;
Loan amount L = 160000
number of months (n) = 20 × 12 = 240
Lets assume that the interest rate per month c = 6.25% since it is not given.
i.e. (6.25/( 100*12) ) = 5.208 × 10⁻³
∴
[tex]P = 160000 * \dfrac{5.208 *10^{-3} (1+5.208 *10^{-3})^{240}}{(1+5.208 *10^{-3})^{240}-1}[/tex]
P = $1169.45
5. Josy wrote the following inequality,
x <-3
Which of the following numbers makes Joey's inequality true?
A 3
B. 0
C-1
D. -5
Answer: D
Explanation: -5 is less than -3
17x - y < 13
I’m slope-intercept form
Answer:
y > 17x - 13
Step-by-step explanation:
We want to write the inequality in slope-intercept form
The general slope intercept form is;
y = mx + b
where m is the slope and b is the y-intercept
So what we have to do to the inequality is to make y the subject
Thus, we have that;
17x -13 < y
Flipping this, we have
y > 17x-13
can somebody help me ?
Answer:
$36.25
Step-by-step explanation:
21.75/3
7.25*5
36.25
Answer:
36.25
Step-by-step explanation:
1/3 times -6 + 5= in fraction form and show work
Answer:
3
Step-by-step explanation:
[tex]\frac{1}{3} \times (-6) + 5 => \frac{-6}{3} + 5 = >-2 + 5 = 3[/tex]
Lets get to know each other
Answer:Uh I like dog .For question 35.
Step-by-step explanation:
5(2x - 4) = 4x – 2
How would I solve this?
x=3
Step-by-step explanation:
There are 24 carnations in each bunch and 12 roses in each bunch. Use your expression from question 1 or question 2 to determine the total number of carnations and the total number of roses Alison will distribute to each flower shop this week.
Answer: r/c
Step-by-step explanation:
96/48
or
24/12
Write the rule for the linear function. Remember a function rule is written using f(f)
Answer:
y= -1/2x +0 because it's going down by 1/2 if you do rise over run, and the y intercept is 0
Find the slope of the line that passes through (-7, 1.3) and (-7, 14.2)
Answer:
The slope of the line that passes through (-7, 1.3) and (-7, 14.2) is undefined.
Step-by-step explanation:
Given the points
(-7, 1.3)(-7, 14.2)Finding the slope between (-7, 1.3) and (-7, 14.2):
It is clear that the value of x-coordinate remains the same, no matter what is the value of y is.
In other words, the given line is vertical.
i.e. [x₂ - x₁] = -7 - (-7) = -7+7 = 0
We know that the slope of a vertical line is undefined.
i.e.
Using the slope formula
Slope = [14.2 - 1.3] / [0]
Hence, the slope of the line that passes through (-7, 1.3) and (-7, 14.2) is undefined.
PLEASE HELP IN THIS QUESTION!
- these are proofs.
statements:
1. LA = SA
2. TA = TA
3. angle LAT = angle SAT
4. triangle LAT = triangle SAT
reasons:
1. given
2. reflexive prop.
3. def. of angle bisector
4. SAS
Can you please tell me if I’m correct thank you
Yes you are correct because the relationship in the table is y = x - 1
Match the tables with the direct variation equation. You will not use all options.
Table A
x y
4 5
5 6.25
6 7.5
Table B
x y
7 1.61
12 2.76
14 3.22
Table C
x y
5 10.5
7 15
8 19.5
Table D
x y
0 0
11 35.2
15 48
The options are:
y=1.25x
not direct variation
y=0x
y=.23x
y=x+1
y=3.2x
y=5.5x
Answer:
the answer is table d 12 =12+34=4
Step-by-step explanation:
can somebody explain to me how did I get this equation? please I need it
Answer:
Step-by-step explanation:
Its hard to explain but its easy, power "2" on 100 is 10000
-6+x/4=-5 please help
Answer:
x=4
Step-by-step explanation:
plug it in to see if it works
Answer:
X=4
Step-by-step explanation:
Solve for x:
x/4 = -5+6
x/4 = 1
multiply by 4 on both sides.
x=4
How to do this I’m struggling very badly
A line contains the point (2, 3) and has a slope of
2
What is the point-slope form of the line?
A- y - 2 = 1/2 (x-3)
B- y - 3 = 1/2 (x-2)
C- y + 2 = 1/2 (x+3)
D- y + 3 = 1/2 (x+2)
Answer:
B) y - 3 = 1/2 (x-2)
Step-by-step explanation:
y-y1=m(x-x1)
find the value of x.
Answer:
X= 20 degrees
Step-by-step explanation:
Because all the sides are the same length, we know this triangle is an equilateral triangle. In an equilateral triangle, all the angle measures are the same as well, and the sum of all the angles in a triangle is 180 degrees. So we have the equation:
(3x)3= 180
9x= 180
X =20
There are 14 girls in class and 12 boys. Write the ratio of boys to students in 3 ways.
Answer:
4
Step-by-step explanation:
Answer:
12:26
12 to 26
12/26
Step-by-step explanation: These are three different, correct ways to write the ratio of boys (12) to the ratio of all the students combined (12 + 14). You can use colons to write a ratio ( : ), you can use the word "to", and you can use a slash symbol ( / ). Hope this helps ^-^.