Answer:
(one thing to notice, the units of the 16 in the height equation should be ft/s^2, because this is an acceleration)
We know that:
v is the initial vertical velocity, and we know that it is 10ft/s
then:
v = 10ft/s.
s is the initial position, and we know that he starts on a platform 25ft above the pool, then if we define the pool as the 0 in the vertical axis, we have:
s = 25ft
Now we can write the height as:
h(t) = (-16ft/s^2)*t^2 + (10ft/s)*t + 25ft.
Now with this equation, we can find the time it takes for the diver to hit the pool.
Remember that we defined the pool as the 0 in the vertical axis, then when h(t) = 0ft the diver will enter in the pool.
With that, we can find the value of t = time, that it takes for the diver to enter the pool.
h(t) = 0 ft = (-16ft/s^2)*t^2 + (10ft/s)*t + 25ft.
Now we can solve this with the Bhaskara equation:
[tex]t = \frac{-10m/s +. \sqrt{(10m/s)^2 - 4*(25ft)*(-16ft/s^2)} }{-16ft/s^2*2} = \frac{-10ft/s +- 41.23ft/s}{-32ft/s^2}[/tex]
We will have two solutions:
t = ((-10 + 41.23)/-32) s = -0.96s
t = (-10 - 41.23)/-32) s = 1.6 s
The negative has no physical sense, so we can discard that option.
This means that the only correct option is 1.6 seconds, then the time that it takes for the diver to enter the pool after he jumps is 1.6 seconds.
What is the slope of the line represented by the equation y= -1/2x + 1/4
Answer:
-1/2 or -0.5
Step-by-step explanation:
answer is above
Solve |4x +3| < 5
I’m stuck on this question
Answer:
x < 1/2
x > -2
Step-by-step explanation:
We know that 4x + 3 < 5 and 4x + 3 > -5
4x + 3 < 5
~Subtract 3 to both sides
4x < 2
~Divide 4 to both sides
x < 2/4 or x < 1/2
4x + 3 > -5
~Subtract 3 to both sides
4x > -8
~Divide 4 to both sides
x > -2
Best of Luck!
#1 What is the difference between
an expression and an equation?
Karen and Wayne need to buy a refrigerator because theirs just broke. Unfortunately,their savings account is depleted, and they will need to borrow money in order to buy a new one. Sears offers them an installment loan at 15% (add-on rate). If the refrigerator at Sears costs $1,500 plus 5% sales tax, and Karen and Wayne plan to pay for the refrigerator for 2 years, what is the monthly payment?
Answer:
$53.14
Step-by-step explanation:
Add-on-rate = 16%
Cost = $1,578 + Sales tax = 5%(5% of $1578 = $78.90)
Time = 3 years
Total amount borrowed = 1578 + 78.90 = $1656.90
Charges = 16%
So, 16% of 1656.90
= 16/100 * 1656.90
= $265.10
Total amount would be = 1656.90 + 256.10 = $1913
No. of months in 3 years = 36months
∴ Monthly payment = [tex]\frac{1913}{36}[/tex]
= $53.14.
3x-4(2+3x)=82
I have to get an answer of x=-10 but I cant seem to get it. Can someone answer it and give me an explanation please?
Answer:
x=-10
Step-by-step explanation:
3x-4(2+3x)=82
3x-(4*2)+(4*3x)=82
3x-8-12x=82
-9x-8=82
-9x-8+8=82+8
-9x=90
-9x/-9=x
90/-9=-10
x=-10
Answer:
10 isn't the right answer
Step-by-step explanation:
multiply everything in the parenthesis by -4
you would get 3x-8-12x=82
then combine like terms to get -9x
once your equation is in simplist form it will look like
-9x-8=82
next you add 8 to the 82
-9x=90
then divide 90 by -9 and you would get
x=-10
help please !!!!!!!
Answer:
2x^2=80
Step-by-step explanation:
Find the value of x in the triangle shown below.
Choose 1 answer:
D) x=8
Answer:
B is the correct answer 100%.....[tex]b \: \: \sqrt{32} [/tex]
Hopes to get BRAINLIESTThank you ☺️☺️☺️☺️
Evaluatetheexpression
Answer:
Where's the expression?
Step-by-step explanation:
You forgot to include to expression in your question :)
What angle relationships can be used to prove that two lines intersected by a transversal are parallel?
Answer:
You can look at the slope and plane.If the slope is the same, the y-intercept is different and both lines are found in the same plane; they are parrallel to each other. This is a way to be certain since there is proof behind it as a Parallel line definition.
Find the value of x for which m|| n is ?
recipe call for 5 teaspoons of seasoning for every 7 batches of chicken. If you have 14 batches of chicken, how many teaspoons of seasoning will you need?
Answer:
10 teaspoons
Step-by-step explanation:
What ratio is equivalent to 3 to 8
Answer:
6 to 16
Step-by-step explanation:
There are a lot of equivalent equations but you can't simplify 3 to 8.
Answer:
If you were to multiply both by 2 you would get a new ratio: 6 to 16
Step-by-step explanation:
As long as you multiply both 3 and 8 by the same number you will get a ratio that is equal to 3:8
Hope this helps!
On Monday morning Sergio Pappas had $14.78 in cash.
During the week he earned $45.00 for cutting lawns
and $35.75 for yard work, and he spent $25.23 on food
and $22.12 on gas.
# Problem Solution
a. What were Sergio's total earnings for the week?
b. What total amount did he have to spend during the week?
c. What was his balance at the end of the week?
( please do not comment if you do not know the answer, would be appreciated )
Answer:
Step-by-step explanation:
a-As he had earned $45.00 for cutting lawns and had earned $35.75 for yard work during the week and had not earned more than that, in order to find the total amount of money he earned during the week, we have to add $45.00 and $35.75 together which will be $80.75. So we can say that he had earned $80.75 during the week.
b- Since he had spent $25.23 on food and $22.12 on gas, we have to add them to get the total amount of money spend during the week. So after adding the amount of moneys spent, we will get $47.35.
c- Finally, to find out how many money he was left with, we have to subtract the amount of moneys spent from the total amount of earnings for the week. So, after subtracting $47.35 from $80.75 he is left with $33.4.
HELP ANYBODY IMMA DROP OUTTT
Question * In pic :D *
Answer:
The answer to this is 27/8 :)
3 ⅜
is (3×8 + 3) / 8
= (24+3) / 8
= 27/8
Nathan and jordan design surveys to determine the average amount of time bicyclists in a race spend training each week. Nathan surveys every fifth bicyclists crossing the finish line after a race. Jordan surveys the first five bicyclists to finish the race. Which best explains which sample is likely to be the most valid?
Answer: A) Nathan’s because his sample was more random
Step-by-step explanation: sampling methods quiz on edge
Nathan's sample is likely to be the most valid. Nathan's because his sample contained elements of the population.
What is a Survey?In order to gather information on a service, product, or process, a survey is described as an act of looking at a process or asking a predetermined sample of people. Surveys used to gather data ask a specific set of individuals about their beliefs, actions, or knowledge.
Given, To find out how much time cyclists are in a race train on average each week, Nathan and Jordan develop questionnaires. Every fifth cyclist who crosses the finish line after a race is surveyed by Nathan. Jordan takes a survey of the top five cyclists who cross the finish line.
Since Nathan's sample contained elements of the population.
and it is more random.
The sample used by Nathan is probably the most reliable. Nathan's because the population was represented in his sample.
Learn more about surveys here:
https://brainly.com/question/17373064
#SPJ6
Simplify: 11(4d+6)
................................
Answer:
44d+66
Step-by-step explanation:
Janice is babysitting this summer. She already has $35 in her account before
she begins babysitting. If she makes $25 each week, how much does she have after 3 weeks?
Answer:
110
Step-by-step explanation:
well if she has 35 in her account already and she babysits for 3 weeks and makes $25 each week that would be 25 times 3 or 25+25+25=75 then you would add 75 to 35 witch is 110
Fine the slope of the line graphed ?
Answer:
C. 2/5
Hope this helps!!!!!!!!
.....................
Answer:
..................................
What's 2/12 Divided By 1/4?
Reduce your answer to its lowest term 2 1/5 + 5 4/5=
Answer:
8
Step-by-step explanation:
2 1/5 + 5 4/5 =
2 + 5 = 7
1/5 + 4/5 = 1
1 + 7 = 8
Solve the equation and enter the value of x below.
x-12 = 8
X =
On a treasure map, the actual distance varies
directly to the scaled distance. If 15 actual
miles is represented by 3 centimeters on the
map, then how many centimeters on the map
are equivalent to 135 actual miles?
(A) 27 centimeters
(B) 32 centimeters
(C) 529 centimeters
(D) 675 centimeters
Answer:
Step-by-step explanation:
10 actual miles 2 cm 120 actual miles
Can someone help me with this
Answer:
Angle 3 is 65°, Angle 8 is 115°
Step-by-step explanation:
Angle 3 and 1- Linear Pair
Angle 8 and 1- Alternate Exterior
Which expression represents the area of this figure in square feet
Answer: A im positive its A
Step-by-step explanation: 3 times 2 equals 6 and add that to 3 times 4 which is 12 and you get 18
Don claims that perpendicular lines are lines that intersect such that at least one of the angles is a right angle.
Determine whether each statement below justifies the claim. Select Yes or No for each statement.
Yes No
Intersecting lines allow for the creation of four angles with a common vertex.
O OD
If one of the angles is a right angle, the angle vertical to it must also be a right angle.
Because linear pairs are complementary, the remaining two angles must also be right angles. O
Answer:its actually yes, yes, no
Step-by-step explanation:
I have the answer bc it showed the answer on my test right after
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
Online Content: Site 1
In a scatterplot what does the term outlier mean?
Answer:
An outlier is defined as a data point that emanates from a different model than do the rest of the data. ... If the outlier is omitted from the fitting process, then the resulting fit will be excellent almost everywhere (for all points except the outlying point).
An outlier for a scatter plot is the point or points that are farthest from the regression line. ... If a number of points are the same farthest distance from the regression line, then all these points are outliers. If all points of the scatter plot are the same distance from the regression line, then there is no outlier.
Step-by-step explanation:
Answer:
An outlier is defined as a data point that emanates from a different model than do the rest of the data. ... If the outlier is omitted from the fitting process, then the resulting fit will be excellent almost everywhere (for all points except the outlying point).
Step-by-step explanation:
Just copy the first part of the person above me or this one its the same but I put the first graph on and go it right. ;)
A square has an area of 289 cm2. What is the length of one side?
Answer:
144.5cm
Step-by-step explanation:
Since it's a square, all sides should be equal so you just need to divide 289 by 2(are of a square is side times side)
convert 7.25 kL to mL
A student calculated the density of copper to be
8.37 g/cm3. The accepted value for the density of
copper is 8.92 g/cm3. What is the percent error in the
density?
Answer:
0.55/8.92×100
55/8.92
=6.17%