Answer:
Let's find the equation of motion for Steve.
First, the things we know:
He hikes at a steady pace, so we can model this with a linear equation:
Distance = speed*time + initial position
or:
D(t) = S*t + p.
Where we make the assumption that the waterfall is our position 0m and the t = 0h is when he starts hiking.
Now we have two data points:
"After 2 hours he is 13 miles from the waterfall"
We can represent this with the point (2h, 13mi)
"After 4 hours he is 6 miles from the waterfall."
We can represent this with the point (4h, 6mi).
The speed will be equal to the quotient between the total distance and the total time, this is:
S = (6mi - 13mi)/(4h - 2h) = -7mi/2h = -3.5 mph.
Then we can write the equation as:
D(t) = -3.5mph*t + p.
And we know that, when t = 2h, we have D(2h) = 13mi, replacing those in our equation we can find the value of p.
13mi = -3.5mph*2h + p
13mi = -7mi + p
13mi + 7mi = 20mi = p
Then the equation of motion is:
D(t) = -3.5mph*t + 20mi.
Whit this equation we can find the total time that Steeve needs to reach the waterfall.
Remember that the waterfall is at the position 0m, then he will arrive at the waterfall when:
D(t) = 0m = -3.5mph*t + 20mi
3.5mph*t = 20mi
t = 20mi/3.5h = 5.7h
So he will get to the waterfall 5.7 hours after he begins hiking.
25. Willa purchases a vase for her kitchen
that is shaped like a cube and will hold 343
cubic inches of water. What are the
dimensions (length, width and height) of the
vase?
Answer:
7,7, and 7
Step-by-step explanation:
If she vase is cubical we know that all 3 dimensions are the same. This means that x^3 = 343. So we know the answer is the cube root of 343, which is 7
The dimensions of the cubic vase are 7 by 7 by 7.
What is a cube?A three-dimensional object with six congruent square faces is called a cube. The cube's six square faces all have the same dimensions.
Given that the volume of the cubic vessel is 343 cubic inches.
The formula for the volume of a cube of side length a is:
V =a³
Substitute V= 343:
343 = a³
Or, a = ∛343
a = 7
Hence, the dimensions of the cubic vase are 7 by 7 by 7.
Learn more about cubes:
https://brainly.com/question/29372770
#SPJ2
1
Which of the following descriptions is true of
an exponential function? Select all that apply.
s
2
ar
3
a. It has an absolute minimum or maximum.
b. It increases or decreases over the
entire domain.
c. Its graph is a smooth curve.
d. Its graph can be discrete or continuous.
4
A
5
B
IS
С
6
7
Answer:
C
Step-by-step explanation:
I used google to search up exponential function and it showed a lot of graphs and they're all curved.
For an exponential function, Its graph is a smooth curve. Option 3 is correct.
What is an exponential function?It is defined as a function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = aˣ, where a is a constant and a>1.
A smooth curve can be found on the graph of an exponential function, which uses exponents. In an exponential function, the rate of change is not constant. Exponential functions include the ones at y = 0.5x and y = 2x in the graph below.
Because the slopes of exponential functions are nonlinear and constantly changing, their graphs resemble curves rather than straight lines.
Hence, for an exponential function, Its graph is a smooth curve. Option 3 is correct.
Learn more about the exponential function here:
brainly.com/question/11487261
#SPJ5
find the nth terms of the sequence with the following first four terms as shown in the table.
________________________
n 1 2 3 4
________________________
an 5 9 13 17
_______________________
Answer:
see explanation
Step-by-step explanation:
Both sequences have a common difference between consecutive terms, that is
2 - 1 = 3 - 2 = 4 - 3 = 1
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 1 and d = 1 , thus
[tex]a_{n}[/tex] = 1 + n - 1 = n
--------------------------------------------------------------------
Similarly
d = 9 - 5 = 13 - 9 = 17 - 13 = 4 and a₁ = 5 , then
[tex]a_{n}[/tex] = 5 + 4(n - 1) = 5 + 4n - 4 = 4n + 1
I need help with these questions
Answer:
6)z=92 y=88 x=92
7)I think all are 90
8) 62
9) 73
10) 87
Step-by-step explanation:
6)y is congruent to 88 vertical angles
and y+x=180, 88+x=180, x=92
x is congruent to z vertical angles so both 92
7) y is congruent with 90 and all the other side when subtracted by 180 equal 90
8)180-118=62
9) 90-17=73
10) 72+21=93
180-93=87
C. Read and analyze the problem, then solve.
1. Mother bought 20 meters of curtain material. She used 8 metres for the living room, 73
meters for the dining room, and the rest for the kitchen. How many meters did she use for the
curtain in the kitchen?
Given parameters:
Total length of curtains bought = 20m
She used 8m for the living room
She used 7m for the dining room
unknown:
Quantity used for the kitchen = ?
Solution:
Quantity used for the kitchen = Total length - (living room + dining room)
Input the parameters given solve;
Quantity used for the kitchen = 20 - (8 + 7) = 5m
The length of curtain used for the kitchen is 5m
What is 2^6+670+2345=?
Answer:
the answer would be 3079
could you also please mark me as brainliest?
Select the graph of the function f (x) = 1/4 Then find the value of f (x) when x = -6.
ASSPPPP
WILL GIVE Y’ALL BRAINLIEST
What is the distance between points (-2,1) and (2,4)?
What is the distance between points (1,2) and (3,4)
Answer:
✓{2-(-2)2+(4-1)2
✓16+9
✓25
5
Step-by-step explanation:
using this formula you may find
✓(x2-x1)2+(y2-y1)2
Answer:
(-2,1) and (2,4) = 5
(1,2) and (3,4) = 2.82
Step-by-step explanation:
Round to 2 decimal places.
0.392
Answer:
0.39
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is
2x - 5y = -40. Fully reduce your answer.
Please respond quickly
Answer:
B. X
Step-by-step explanation:
Each X value can only have one Y value.
2x - (3-x) > x+1 solve
Answer:
x > 2
Step-by-step explanation:
Step 1: Write inequality
2x - (3 - x) > x + 1
Step 2: Solve for x
Distribute negative: 2x - 3 + x > x + 1Combine like terms: 3x - 3 > x + 1Subtract x on both sides: 2x - 3 > 1Add 3 to both sides: 2x > 4Divide both sides by 2: x > 2Here we see that any value x greater than 2 would work as a solution.
the area of the rhombus with diagonal 6.2cm and 10cm is _ square cm
Answer:
31cm².
Step-by-step explanation:
as we know that ,
area of Rhombus equal 1/2 of product of their diagonals .
product of the diagonals equal 6.2*10=62
1/2*62=31cm².
pls help it doesn't have the answers
I don't know why doesn't have answers, but I know the answer 7/20.
—бу – 3 = 3 – бу
No solution
All real numbers
I need the answer quickly!! will give brainliest i just need the answer quickly
Find the value of a and the value of b
Answer:
i dont
Step-by-step explanation:
i just want some points ok am so sorry
PLZZ HELP IF RIGHT I LL MART BRAINLYLIST!!!!!
Answer:
The length of C'D' = 2.8
This is because, ABCD is rotated on the point R 55 degrees
So, now, if you turn back the rotation, you will get, that CD = C'D'
Now, CD = 2.8 , So, C'D' = 2.8
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
During a game, the pittsburgh steelers converted 6 of 10 fourths downs into first downs. With only minutes left in the game, it is fourth down again and they must make a first down to continue their drive. What is the probability that they will make the first down?
Answer:
[tex]\dfrac{3}{5}[/tex]
Step-by-step explanation:
Given that:
Total Number of fourth downs = 10
Number of fourth downs converted to first downs = 6
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Here, Let E be the event of getting a fourth down converted to first down.
So, Number of favorable cases = 6
Total Number of cases = 10
Therefore, the required probability is:
[tex]P(E) = \dfrac{6}{10} = \dfrac{3}{5}[/tex]
Volume is 200, the length is four more than twice the width. What is the width
Answer:
I think 7 is the answer
Step-by-step explanation:
Let l be 4+(2h) and solve
Multiple-choice test with 50 questions has five possible choices for each question. There are 4 marks for each correct answer, -1 mark for each incorrect answer, and 0 marks for each unanswered question. What is the total score of a student with 35 correct answers, 10 incorrect answers and 5 unanswered
Answer:
Total score of a student = 130 marks
Step-by-step explanation:
Marks for each correct answer = [tex]4[/tex]
Marks for each incorrect answer = [tex]-1[/tex]
Marks for each unanswered question = [tex]0[/tex]
Number of correct answers = 35
Number of incorrect answers = 10
Number of unanswered answers = 5
So,
Total score of a student [tex]=35(4)+10(-1)+5(0)=140-10+0=130[/tex] marks
Answer:
35 correct: 35x4= 140 marks
10 incorrect: 10x -1= -10 marks
5 unanswered: 5x0= 0 marks
140-10+0= 130 marks
Step-by-step explanation:
What is the first step needed to solve (3/4) times -3=-18
Paul has a collection of 144 rare coins. His collection includes 32 buffalo nickels. What fraction of Paul's collection is buffalo nickels?
I NEED HELP
Answer:
2/9
Step-by-step explanation:
32/144, divide each side by two until you cant
Find the missing exponent
3. Simplify the expression.
4(2x - 3)
ASAP PLS HELP
Answer with step-by-step explanation:
(4 x 2x) - (4 x 3) = 8x - 12
Hope this was helpful!
Answer: 8x + -12
Explanation: Let's simplify this problem using the distributive property.
The first thing we want to do is change the minus to plus a negative.
Now we can distribute or multiply this 4 times
each of the terms inside the set of parenthses.
So we get 4(2x) + 4(-3) and this simplifies to 8x + -12.
Note that if you wrote your answer as 8x - 12, it means the same thing.
Plz help me with this ASAP!
Angel H and G are both are 51 degrees, and angle I is 78 degrees.
The two angles (H and G) are equal to each other, but before we know what the angles are, we must find x.
[tex]5x + 6 = 2x + 33[/tex]
[tex]3x = 27[/tex]
[tex]x = 9[/tex]
Plug in x for one equation:
[tex]5x + 6[/tex]
[tex]5(9) + 6[/tex]
[tex] = 51[/tex]
Therefore,
[tex]m < h = 51 \:[/tex]
and
[tex]m < g = 51[/tex]
And because we know the angles within a triangle = 180, we subtract 102 from 180 to find m<I:
[tex]180 - (51 + 51) = [/tex]
[tex]180 - 102 = [/tex]
[tex] = 78[/tex]
Solve x-4<3
I wanted to need the the solution to this problem
Answer:
x < 7
Step-by-step explanation:
add 4 to both sides
Answer:
7
Step-by-step explanation:
x-4< 3
all u do is add 4 to both sides
x < 7
Triangle angles review (khan academy)
Find the value of x in the triangle shown below
X = ?
Answer:
The correct answer is 44°
by which rule are these triangles congruent ?
A) AAS
B) ASA
C) SAS
D) SSS
Answer:
triangles congruent rule;
B) ASA
Molly went shopping and her bank account got below 7.50$.
Answer:
she should get a job, cant afford to go shopping with that little money in the bank
URGENT TEST IN ONE HOUR, NEED HELP For 35 points: A drone is flying at a speed of 40 miles per hour in the direction of S70°W. There is a wind of 15 miles per hour in the direction of S 10°E. Find the resultant magnitude and direction (as a quadrant bearing) of the drone.
Answer:
this is confusing
Step-by-step explanation: