Answer:
The average speed of the object is 18.67 ft/s.
Step-by-step explanation:
Given;
height function, f(t) = -16t² + 42t + 5
The average speed is given by ;
[tex]v = \frac{dx}{dt} \\\\h(t) = -16t^2+42t+5\\\\h(1.5)= -16(1.5)^2 + 42(1.5)+5 = 32 \ ft\\\\[/tex]
from 1.5 s to 2.25 s = 0.75 s,
[tex]h(0.75)= -16(0.75)^2 + 42(0.75)+5 = 27.5 \ ft[/tex]
[tex]h(2.25)= 27.5 +(-16(2.25)^2 + 42(2.25)+5) \\\\h(2.25) = 27.5 + 18.5 = 46 \ ft[/tex]
The average speed is given by ;
[tex]v = \frac{h(2.25) - h(1.5)}{2.25-1.5}\\\\v = \frac{46-32}{0.75}\\\\v = 18.67 \ ft/s[/tex]
Therefore, the average speed of the object is 18.67 ft/s.
Can u help me please
Slope = 3
Y intercept = 18
==================================================
Work Shown:
m = slope
m = (y2-y1)/(x2-x1)
m = (0-(-9))/(-6-(-9))
m = (0+9)/(-6+9)
m = 9/3
m = 3 ... is the slope
-------
y = mx+b
y = 3x+b .... plug in the slope
-9 = 3(-9)+b ... plug in the point (x,y) = (-9,-9)
-9 = -27+b
-9+27 = -27+b+27 .... adding 27 to both sides
18 = b
b = 18 ... is the y intercept
---------
We found that m = 3 is the slope and b = 18 is the y intercept
y = mx+b turns into y = 3x+18
Two burritos cost $14.00. Complete the table to show the cost for 4, 5, and 10 burritos at that rate. Next, find the cost for a single burrito in each case.
a) Complete the table.
b) What do you notice about the values in this table?
Answer:
4:28
5:35
10:70
Step-by-step explanation:
Can someone please help me ASAP this is a major grade for me and I need help!!!
Complete this equation so that it has infinitely many solutions.
2(x-1/4)=6(1/4x-__)
Answer:I would but I’m clueless sorry
Step-by-step explanation:
Mai is making personal pizzas. For 4 pizzas, she uses 10 ounces of cheese. How much cheese does she use for each pizza?
Answer:
2.5 ouces
Step-by-step explanation:
Answer:
2.5 or 2 1/2
Step-by-step explanation:
you do 10 divided by 4 because there are 4 pizzas and 10 ounces used in total. and it equals 2.5 or 2 1/2
Over a two-day track meet, Jason ran in one 2‑kilometer race, two 1,500‑meter races, and five 100‑meter races. How many meters did Jason run over the two days?
Answer:
5500 meters
Step-by-step explanation:
1 * (2km) + 2 *(1500m) + 5*(100m)
Hope this helps
A shoe store buys a pair of shoes for $16.00 and then sells it at after a 125% markup. What is the new selling price?
Answer: I think the answer is $36.00 US dollars.
Step-by-step explanation:
3. Kiran walked at a constant speed. He walked 1 mile in 15 minutes. Which of these equations represents the distance d (in miles) that Kiran walks in i minutes? Show your reasoning.
Answer:
C
Step-by-step explanation:
It is C because you get the equivalent from the t and that t is the number 1 so 15×1 is 15
The solution is Option D.
The equation is d = ( 1/15 ) t
What is Speed?
Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the speed of Kiran be represented as = s
Let the distance traveled by Kiran be = d
Let the time taken by Kiran to travel d distance be = t
Now , the value of d = 1 mile
The time taken by Kiran t = 15 minutes
So , the speed of Kiran s is given by the formula
Speed = Distance / Time
Substituting the values in the equation , we get
s = d/t
s = 1 / 15 miles / minute
So , the speed is 1/15 miles / minute
Now , the equation to represent the distance d Kiran walks in t minutes is given by
Distance d = Speed s x Time t
d = ( 1/15 ) t
Therefore , the value of d = ( 1/15 ) t
Hence , The equation is d = ( 1/15 ) t
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PLEASE HELP I'LL GIVE 30 POINTS
Express the ratio below in its simplest form.
2:6:4
Answer:
in simplest form, the ratio would be 1:3:2
May I have brainliest please? :)
I will mark as brainliest!!!
Rewrite as a simplified fraction.
0.67 = ?
7 is repeating
Answer:
61/90
Step-by-step explanation:
can y'all help pleasee
Answer:
Step-by-step explanation:
Problem #1:
m: rise/run: 3/1
Slope : 2
y-intercept: (0,−3)
b: -3
Problem #2
m: rise/run: 3/1
y-intercept: (0,-1)
b: -1
Estimating Using Compatible Numbers
You purchase 3 items for $4.23. About how much did you spend?
9514 1404 393
Answer:
about $12
Step-by-step explanation:
For estimating purposes, you often want to round numbers to 1 or 2 significant digits. The price $4.23 can be rounded to $4. Then 3 such items will cost about ...
3×$4 = $12
You spent about $12.
_____
Additional comments
Along with an estimate, you often want to estimate the error in the estimate. Here, a first approximation of the error is that it is 3 × $0.20 too low. That is, the estimate of spending will be closer if we revise it upward by $0.60 to $12.60.
We know that even that estimate is low by $0.03 on each of the 3 items, so a better approximation of the spending is $12.60 +0.09 = $12.69.
This has accounted for all of the errors, so the actual spending was $12.69.
Jerrod drove 210 miles in 3.5 hours. Martin drove 244 miles in 4 hours. Who drove at a faster rate of speed?
Martin drove at a faster rate of speed.
If Jerrod drove 210mi. in 3.5 hours, that'd be 60mph (mi./time)
If Martin drove 244mi. in 4.0 hours, that'd be 61mph (mi./time)
Hope this helps: If it did, please mark brainliest, give a thanks, and rate it five stars! [I'm two brainliests away from moving up!] Have an amazing rest of your day and stay safe! Let me know if you need anymore help! xx
Plz help need asap will give BRAINLIEST and dont answer if you dont know
What is the distance of the line segment in the graph below?
12 units
13 units
15 units
17 units
Answer:
12 units
Step-by-step explanation:
count?
write the equation of the line using the given information. type your awnser in slope intercept form,y=mx+b
Answer:
y=3/-1x+4
Step-by-step explanation:
Okay so first thing you need to know is that if there is an ordered pair (x, y) where x is 0, your y-intercept is your y. For example, your problem has (0, 4) your x is 0 and your y is 4. Therefore your y-intercept is 4 which is the b. To find your mx, or slope, you need to do (y2-y1)/(x2-x1). Your y2 will be your y in your second ordered pair and your y1 will be in your y in the first ordered pair. Same for your x. So, (4-1)/(0-1) which equals 3/-1. 3/-1 is your slope. So, your answer in slop intercept form is: y= 3/-1x+4. You could also try y= -3x+4 if that makes you more comfortable.
I know this is long this is my first time doing this lol.
The functions f(x) = (x + 1)2 − 2 and g(x) = -(x − 2)2 + 1 have been rewritten using the completing-the-square method. Is the vertex for each function a minimum or a maximum? Explain your reasoning for each function
Answer:
The negative outside the parentheses indicates that the vertex is a maximum
f(x) has a minimum vertex
g(x) has a maximum
Step-by-step explanation:
PLEASE HELP MAJOR HELP DUE AT 12AM What happened to get to each step in solving the equation? 1x + x = 180 - 2 Step 1: = 180 – 2 Step 2: * = 180 Step 3: 3 = 72
Answer:
First step: Combined like terms on left side
Second step: Combined like terms on both sides
Third step: Simplified y multiplying both sides by 2/5
A cell phone plan has a monthly cost that is shown in the table below. What is the correct statement regarding the average rate of change during the 40-
minute time of talk? (1 point)
Total minutes of talk time Monthly cost of cell phone
0
$19.95
10
$20.45
20
$20.95
30
$21.45
$21.95
40
The average rate of change is $0.50, meaning that for each minute of talk time, the monthly bill increases by $0.50.
The average rate of change is $0.50, meaning that for every ten minutes of talk time, the bill increases by $0.50.
The average rate of change is $0.05, meaning that for each minute of talk time, the monthly bill increases by $0.05.
The average rate of change is $0.05, meaning that for every ten minutes of talk time, the bill increases by $0.05.
Answer:
for each 1 minute of talk time, the bill goes up 5¢.
I think it has to either be
--The average rate of change is $0.05, meaning that for each minute of talk time, the monthly bil increaes by $0.05
or
--The avaerage rate of change is $0.05, meaning that for every ten minutes of talk time, the bill increases by $0.05
Answer:
C. The average rate of change is $0.05, meaning that for each minute of talk time, the monthly bill increases byStep-by-step explanation:
Average rate of change during 40 min:
(21.95 - 19.95)/40 = 2/40 =$0.05This number reflects the average cost of talk for each minute
Correct answer choice C
The average rate of change is $0.05, meaning that for each minute of talk time, the monthly bill increases byy varies directly as x. When x=3, y=5. Find y when x=4.
Answer:
y=6
Step-by-step explanation:
5-3=2
4+2=6
Answer:
~~~~
Step-by-step explanation:
MdlGGtqhwshshwhbq qdud1d7yqgd7twgz 7
what percent of 570 kg in 190 kg
Answer:
300%
Step-by-step explanation:
what is $5.99 for 11 lb ?
Answer:
.54
Step-by-step explanation:
5.99 divided by 11
Which of these is the quadratic parent function?
A. f(x) = x^2
B. f(x) = x
C. f(x) = 2^x
O D. f(x) = |x|
Answer:
The simplest parabola is y = x2, whose graph is shown at the right. The graph passes through the origin (0,0), and is contained in Quadrants I and II. This graph is known as the "Parent Function" for parabolas, or quadratic functions.
So the answer is. A. f(x) = x^2
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The quadratic parent function is,
A. f(x) = x²
We have to given that,
All the functions are,
A. f(x) = x²
B. f(x) = x
C. f(x) = 2ˣ
D. f(x) = |x|
Since, We know that,
The parent function of the quadratic family is f(x) = x². A transformation of the graph of the parent function is represented by the function
g(x) = a(x - h)² + k, where a ≠ 0.
Hence, By option A,
A. f(x) = x²
As this function is in its base form so this is the parent function and this is the required correct option.
Therefore, The quadratic parent function is,
A. f(x) = x²
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Purchase price: $6,052; sales tax: 8%; license and title fees: $260; down payment: $1,500; payments: $180.10 for 36 months.
Find the following:
Amount Financed = $
Total Installment Price = $
Finance Charge = $
Answer:imma cry
Step-by-step explanation:I need help
I’m marking brainliest and giving 30 points
Which variable is most important to the following problem?
At 9:54 a.m., a patient's temperature was 101.5 degrees. At 10:41, the nurse
took the patient's temperature again and found it was 105.8 degrees, the
highest ever recorded. How long did it take for the patient's temperature to
reach this record high?
O A. the number of minutes it took for the temperature to reach its
peak
O B. the date on which the previous high was recorded
C. the number of degrees that the temperature changed
Answer:
A
Step-by-step explanation:
The problem asks for how long it takes for the temperature to reach the record high, so the number of minutes it takes for the temperature to reach its peak is what's important.
Hope this helps!
Simply the following polynomials.ANSWERS MUST BE IN STANDARD FORM.
(w-7)(w+3)
What is the GCF if 50 and 26
Answer:
0.0739644970414201
Step-by-step explanation:
it might seem weird but it is the answer
A 47-foot tall tree casts a shadow that is 89 feet long find the measure of the angle elevation
Answer:
The angle is [tex]\theta =27.84^o[/tex]
Step-by-step explanation:
From the question we are told that
The height of the tree is [tex]h = 47 \ ft[/tex]
The length of the shadow is [tex]L = 89 \ ft[/tex]
Generally applying SOHCAHTOA , the angle of elevation is evaluated as
[tex]tan \theta = \frac{h}{L }[/tex]
=> [tex]tan \theta = \frac{47}{89}[/tex]
=> [tex]tan \theta = 0.52809[/tex]
=> [tex]\theta = tan^{-1} [0.52809 ][/tex]
=> [tex]\theta =27.84^o[/tex]
Lydia ran 10 miles in 120 minutes how many did she ran per mile
Answer:
I think the answer would be 12
Answer:
12 minutes per mile
Sorry if I got it wrong
9x-27y+9 with steps on how to get solution
Answer:
9 ( x − 3 y + 1 )
Step-by-step explanation:
please answer this question
Answer:
A: 77
Step-by-step explanation:
360 - 109 - 137 - 37 = 77