Answer:
23.7m
Step-by-step explanation:
Given parameters:
Time taken = 2.2s
Acceleration due to gravity = 10m/s
Unknown:
Depth of the well = ?
Solution:
To solve this problem, we simply apply one of the motion equations;
S = ut + [tex]\frac{1}{2}[/tex] gt²
where S = depth of the well
u = initial velocity
t = time taken
g = acceleration due to gravity
Input the parameters and solve for S;
Note initial velocity = 0;
S = [tex]\frac{1}{2}[/tex] x 9.8 x 2.2²
S = 23.7m
Graph the line that passes through the coordinates below and determine which statement is true.
(2,3) (3,4.5) (4,6) (6,9)
A.
The line that passes through the given coordinates does not represent a proportional relationship because the line passes through the origin.
B.
The line that passes through the given coordinates represents a proportional relationship because the line passes through the origin.
C.
The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
D.
The line that passes through the given coordinates represents a proportional relationship because the line does not pass through the origin.
Answer:
the correct answer is: C. The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
Step-by-step explanation:
A straight line passing through the points (1, 2), (3, 4), (5, 6) and (7, 8) does not pass through the origin, as shown on the graph below.
Therefore, the line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
Answer:
The line that passes through the given coordinates represents a proportional relationship because the line passes through the origin--the correct answer is B.
Step-by-step explanation:
You first graph the coordinates shown, then you repeat the same pattern until the answer is revealed which is shown in the column above. Also, a reminder to all a proportional line is a line that goes through the origin ((0,0)).
Determine if the three side lengths could form a right triangle.
4, 11, 16
Answer:
yes it can i think
Step-by-step explanation:
what is 108.92 in expanded form
After the first week of registration, 92 children had enrolled for the second
session of summer camp. If this represents 80% of the available slots, what
is the maximum number of children the camp can enroll for the second
session?
Answer:
115 children
Step-by-step explanation:
Please see the attached picture for the full solution.
−3.5=x4 please help me
Question 1
In this unit, you learned about common logarithms. Since most calculators can be used to find the values of common logarithms only, it’s desirable to be able to convert logarithms with bases other than 10 to common logarithms. This conversion can be done using the change of base formula.
Part A
Rewrite the logarithmic equation y = logbm in exponential form.
Part B
Using a log with base c , take the log of both sides of your answer from part A. Then use the power property and solve for y .
Part C
The original equation was y=logbm . Use substitution and your answer from part B to write the change of base formula.
Part D
Watch this video for two examples of how to use the change of base formula to simplify and evaluate logarithmic expressions. Then simplify (or evaluate, if possible) this expression: log3z x logz27
Part E
Use the change of base formula and a calculator to evaluate log7 300. Round your ans
Answer and Step-by-step explanation:
Part A: Exponential equation is the "opposite" of logarithmic equation, so:
[tex]y=log_{b}m[/tex]
[tex]b^{y}=m[/tex]
Part B: Using log with base c:
[tex]log_{c}b^{y}=log_{c}m[/tex]
Power property of logarithm states that if the anti-logarithm is elevated at a power, the elevated number can be pulled in front of the logarithm:
[tex]ylog_{c}b=log_{c}m[/tex]
Solving for y:
[tex]y=\frac{log_{c}m}{log_{c}b}[/tex]
Part C: To facilitate the use of calculators, which only have values for the base-10 log and natural log, we use change of base formula, i.e., transform
[tex]y=log_{b}m[/tex]
into
[tex]y=\frac{log_{c}m}{log_{c}b}[/tex]
Part D: [tex](log_{3}z)(log_{z}27)[/tex]
Change of base will be:
[tex]log_{3}z=\frac{log_{10}z}{log_{10}3}[/tex]
[tex]log_{z}27=\frac{log_{10}27}{log_{10}z}[/tex]
Solving:
[tex](log_{3}z)(log_{z}27)[/tex] = [tex](\frac{log_{10}z}{log_{10}3})(\frac{log_{10}27}{log_{10}z} )[/tex]
[tex](log_{3}z)(log_{z}27)[/tex] = [tex]\frac{log_{10}27}{log_{10}3}[/tex]
[tex](log_{3}z)(log_{z}27)[/tex] = [tex]\frac{log_{10}3^{3}}{log_{10}3}[/tex]
[tex](log_{3}z)(log_{z}27)[/tex] = [tex]\frac{3log_{10}3}{log_{10}3}[/tex]
[tex](log_{3}z)(log_{z}27)[/tex] = 3
Part E: [tex]log_{7}300[/tex]
Using change of base:
[tex]log_{7}300=\frac{log300}{log7}[/tex]
[tex]log_{7}300=\frac{2.48}{0.85}[/tex]
[tex]log_{7}300[/tex] ≈ 3
What is the slope of the line that passes through the coordinate points: (0,3)
and (5, 96)?
Answer:
93/5
Step-by-step explanation:
1. How many numbers less than 10,000 are there which are divisible
by 21, 35 and 63?
Answer:
31
Step-by-step explanation:
To solve this problem, we must find the lowest common multiple of 21, 35 and 63
Find the prime factors of the number;
Prime factors of 21 = 3 x 7
35 = 3 x 5
63 = 3 x 3 x 7
The lcm = 3 x 3 x 5 x 7 = 315
The numbers between 1 and 10, 000 divided by these three numbers;
First number = 315
Last number = 9765
Now the total number:
= [tex]\frac{first number - last number }{315} + 1[/tex]
= [tex]\frac{9765 - 315}{315}[/tex] + 1
= 30 + 1
= 31
Can you have say from us the aks place
Emma is 10 years younger than Joseph. Joseph's age 6 years from
now will exceed twice Emma's age 2 years ago by 3 years.
How old is Em ma and Joseph now?
Answer:
Step-by-step explanation:
let Emma age be x now
Let Joseph age be y now
If Emma is 10 years younger than Joseph, then x = y-10
six years from now:
Emma will be x+6 years
Joseph will be y+6 years
If Joseph's age 6 years from now will exceed twice Emma's age 2 years ago by 3 years, then:
y+6 = 2(x+6-2) + 3
y+6 = 2(x+4)+3
y + 6 = 2x+11
y + 6 = 2(y-10)+!1
y + 6 = 2y-20+11
y - 2y = -9-6
-y = -15
y = 15
Since x = y -10
x = 15-10
x = 5
Hence Emma is 5years old now and Joseph is 15years old now
How do you solve this question
/
Answer:
5/18
Step-by-step explanation:
Parentheses next to each other mean to multiply. So, this problem means you need to multiply -4/9 and -5/8. To multiply fractions, you just have to multiply across. To make it easier to understand what I mean...
-4 x -5 = 20 (when you multiply two negatives, it makes a positive)
9 x 8 = 72
20/72 simplifies to 5/18.
Hope this helps!! Have a wonderful day C:
There is a stack of logs in the backyard. There are 15 logs in the 1st layer, 14 in the second, 13 in the third, 12 in the fourth, and so on with the last layer having one log. How many logs are in the stack?
I think the answer is 54.
helllllppppp pleaseeeeee
Answer:
2nd choice
Step-by-step explanation:
The slope is 2/3 (rise/run) and the y-intercept is -2
When you put those values into f(x) = mx + b, you get f(x) = 2/3x - 2
6x+2=3(3x+14)
set notation
Answer:
x= -40/3
Step-by-step explanation:
. I'm very bad in math help would mean alot to me
Answer:
(6,1)
Step-by-step explanation:
In order to find the third point, you first need to identify the side length of XZ. X is (1, 1) and Z is (1, 5). In order to find the length of this segment, you just need to subtract 1 from 5 since that is the difference in the y-values and the x-values are the same.
Now, you know that XZ = 4. The problem says that the area of the triangle is 10, and the area of a triangle is a = [tex]\frac{1}{2}[/tex]bh, so you can just insert the values into the equation to solve for the base:
a = [tex]\frac{1}{2}[/tex]bh
= 10 = (1/2) * b * 4
= 10 = 2b
= 5 = b
Because the base is 5 units long, you can just add 5 to the x-value of the point Z, since Y is 5 units to the right of it
Y is (1 + 5, 1)
Y is (6,1)
The points (-2,-10) and (-1, v) fall on a line with a slope of 8. What is the value of v?
The required value of v is -2 for a given line with a slope of 8.
What is the slope of the line?The slope of a line is defined as the angle of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
Given data as :
The points given are (-2,-10) and (-1, v).
Since the line with a slope of 8.
So in this case, we have:
m = (v - (-10)) / (-1 - (-2))
Solving for v:
8 = (v + 10) / 1
8 = (v + 10)
v = -10 + 8
Apply the subtraction operation, and we get
v = -2
Thus, the required value of v is -2.
Learn more about the Slope of the Line here:
brainly.com/question/14511992
#SPJ2
5 1/3 minus -2 2/3 someone please answer
Answer:
8
Step-by-step explanation:
Answer:
2.7
Step-by-step explanation:
Thanks ninofhghvhghvhv
Answer:
ok
Step-by-step explanation:
❤️
Answer:
okay jekwkwkwisjwjqkwkjskwwwkwkwkwk s wowowi
Question 16 (1 point)
Solve for X using Special Rights
X
13
y
1412
7
С
14
772
Answer:
d
Step-by-step explanation:
-3(x + 2) = 16 - x
I need helpppp ASAP
Answer:
x = -11
Step-by-step explanation:
-3(x + 2) = 16 - x
-3x - 6 = 16 - x
-22 = 2x
Divide
-22/2 = x
-11 = x
An analyst wants to include the level of education to a regression model. The level of education has 4 possible values: HS, BS, MS, and PhD. How many dummy variables must the analyst add to the regression model to account for this variable
Answer:
Three.
Step-by-step explanation:
An analyst wants to include Level of Education in a regression model.
Level of Education has 4 possible values - HS, BS, MS, PHD
How many dummy variables must the analyst add to the regression model, in order to account for the variable LEVEL OF EDUCATION?
Since LOE has 4 possible values, (4 - 1 = 3) dummy variables will be added to the regression model.
If the dummy letter is M for instance, and 1 represents the presence of a particular LOE and 0 represents the absence of that LOE;
M1 = 1 when LOE is HS but =0 when LOE is otherwise
M2 = 1 when LOE is BS but =0 when LOE is otherwise
M3 = 1 when LOE is MS but =0 when LOE is otherwise
So, when M1, M2, M3 are equal to 0, the PHD value is represented.
Define the opposite and the absolute value of -8.]
Answer:
8 because this is a negitive and the oppisite is postivie so it is 8
Step-by-step explanation:
-8 is negitive on the oppisite side of the number line is positive 8 the answer is 8.
Answer:
The opposite of -8 is 8. The absolute value of -8 is 8.
Step-by-step explanation:
Approximately how many litres is 70 fluid ounces?
Use the conversion 20 fluid ounces = 1 pint and 134
pints = 1 litre
Carlos went to Kroger and spent $9.00. He spent 1/4 of his money on games. How
much money was spent on games?
Answer:
$2.25
Step-by-step explanation:
9/4=2.25
checking work:
2.25+2.25=4.50
4.50+4.50=9
On Friday a local hamburger shop sold a combined total of 336 hamburgers and cheeseburgers the number of cheeseburgers sold was two times the number of hamburgers sold how many hamburgers were sold on Friday
Answer:
112
Step-by-step explanation:
H + 2H = 336
3 = 336/H
112=H
What is the y-intercept of the line 3x – 7y = 42?
(0, -6)
(-6, 0)
(0, 14)
(14, 0)
please dont jus put something random i will report it.
Which representation has a constant of variation of –2.5?
A
x
–2
–3
–4
–5
y
–5
–7.5
–10
–12.5
B
5 x + 2 y = 0
C
y = negative 2.5 x + 1
D
On a coordinate plane, a line goes through points (negative 1, 0) and (0, negative 2).
A
B
C
D
Answer:
ez b no doubt
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
What is 1/2÷3 as a fraction?
Answer: 1/6
Step-by-step explanation:
1/2 divided by 3/1 turns into 1/2 x 1/3 and when multiplying numerators and denominators with each other, you get 1/6.
PLEASE HELP IDK
Which expression could be modeled using the diagram?
An area model has 4 shaded parts and 1 unshaded part. The shaded parts are labeled 4/5.
A. 4 divided by one-fifth
B. 4 divided by 4/5
C. 4/5 divided by one-fifth
D. One-fifth divided by 4/5
Answer:
a
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
i have answered questions like this before and I've also answered this question
18.
The mean of 7 numbers is 29. What is the total of the 7 numbers?
Answer:
203
Step-by-step explanation:
The mean is the number after it has been divided by 7,therefore to get the original total you need to multiply the mean [27] by the divisor [7] . Basically you're reversing the original problem.