Answer: The ball will hit the ground 6 seconds after it has ben thrown, at t = 6s.
Step-by-step explanation:
The equation for the height of the ball should be:
s(t) = (-16ft/s^2)*t^2 + 96ft/s*t
When s(t) = 0ft, means that the ball is in the ground
This represents the height of the ball as a function of t, the time in seconds.
We can see that at t = 0s:
s(0s) = (-16ft/s^2)*(0s)^2 + 96ft/s*(0s) = 0ft
Then at the time 0 seconds, the ball is in the ground, so we must look at the other root of the equation
(-16ft/s^2)*t^2 + 96ft/s*t = 0ft
To find it, we can use the Bhaskara equation, in this case is:
[tex]t = \frac{-96ft/s +- \sqrt{(96ft/s)^2 - 4*(-16ft/s^2)*0} }{-2*16ft/s^2} = \frac{-96ft/s^2 +-96ft/s^2}{-32ft/s^2}[/tex]
Then we have the two solutions:
t = (-96ft/s + 96ft/s)/(-32 ft/s^2) = 0s (the one that we already found)
And the other one is:
t = (-96ft/s - 96ft/s)/(-32ft/s^2) = 6s
Then:
s(6s) = 0ft
This means that the ball will hit the ground at t = 6 seconds.
The time required to hit the ground is required.
The time taken by the ball to reach the ground is 2.45 seconds.
The equation is
[tex]s(t)=-16t^2+96[/tex]
At the ground [tex]t=0[/tex]
so,
[tex]0=-16t^2+96\\\Rightarrow 16t^2=96\\\Rightarrow t=\sqrt{\dfrac{96}{16}}\\\Rightarrow t=2.45\ \text{s}[/tex]
The time taken by the ball to reach the ground is 2.45 seconds.
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Solve 4|x - 3| > 8.
O A. X25
O B. x< 1 and x2 5
O c. xs1 or x2 5
O D. XS1
Answer:
B
Step-by-step explanation:
4|x - 3| > 8=x< 1 and x2 5
i think
Amelie works on her homework for 14 hour before her soccer practice and 23 hour after her soccer practice.
How much time did Amelie spend on her homework altogether?
16 hour
37 hour
34 hour
1112 hour
Jessica walks 13 mile to the post office and then 25 mile to the library.
How far did Jessica walk altogether?
215 mile
38 mile
1115 mile
34 mile
Answer:
37 hours
38 miles
Step-by-step explanation:
14+23=37
25+13=38
Answer:
37 hours and 38 miles
Step-by-step explanation:
14+23=37
13+25=38
12 students is what percent of 60 students?
Answer:
20%
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
I believe it is 20% based on what I know.
Someone please help answer completely !
Answer:
the answer is [tex]T=\frac{VP}{8}[/tex]
Step-by-step explanation:
V=[tex]\frac{8T}{P}[/tex]
you need to make T the subject of the formula:
step1: multiply P for both sides.
V=[tex]\frac{8T}{P}[/tex]
VP=8T
step2: divide by 8 for both sides.
T=[tex]\frac{VP}{8}[/tex]
the answer is [tex]T=\frac{VP}{8}[/tex]
What is the factored form of the equation 4x^2-11+6=0
Answer:
(4x−3)(x−2)=0
Step-by-step explanation:
Step-by-step explanation:
4x²-11+6=0
4x²-5=0
x²=5
4
x=√5
4
hope it help u
Find answer to picture problem
Answer:
Can you add the picture please???
Step-by-step explanation:
The proportion of observations from a standard Normal distribution that take values larger than -0.75 is about A) 0.2266 B) 0.7704 C) 0.7734 D) 0.7764 E) 0.8023
Answer:
Option C: 0.7734
Step-by-step explanation:
From z-distribution table attached,
P(Z ≤ -0.75) = 0.2266
However, we are looking for proportion of observations from a standard Normal distribution that take values larger than -0.75.
Thus;
P(Z > -0.75) = P(Z ≤ 0.75) = 1 - 0.2266
P(Z > -0.75) = 0.7734
Option C is the correct answer.
which graph represents the compound inequality -3 greater than and greater than 1
Answer:
Its the 3rd option
Step-by-step explanation:
when -3 is greater hence (-infinity,-3)
when the number is greater than 1 then (1,infinity), hence
from top to bottom, the 3rd option is the answer:
(-infinity,-3) UNION (1,infinity)
What is the change in temperature from 20 degrees F dropping to -33 degrees F?
Answer:
53 degrees.
Step-by-step explanation:
Your just finding the difference or the "change" So I did 20+33=53.
Because if it is 20 degrees and has to get to -33 then to get to 0 degrees it's minus 20 then to get to -33 its minus 33 so total I have changed the temp by 53 degrees. Sorry, this was so confusing it's very hard to word.
PLEASE MARK BRAINLIEST
Which best describes a polynomial?
Answer:
an algebraic expression containing one or more terms
Step-by-step explanation:
The sum of two numbers is -50. Their difference is - 10. Find the numbers.
The smaller number is:
The larger number is:
Answer:
Larger is -30
Smaller is -20
Step-by-step explanation:
-50/2 = -25
difference is -10
add 5 to one number minus 5 from the other
so
-25 - 5 = -30
-25 + 5 = -20
Hope this helps :)
Answer:
be careful how you answer this
the larger number (y) = - 20
the smaller number (x) = - 30
Think money. Which would you rather be: 20 dollars in the hole or 30 dollars.
Step-by-step explanation:
x + y = -50
x - y = -10 Add
2x = - 60 Divide both sides by 2
2x/2 = -60/2 Do the division
x = - 30
=============
-30 - y = - 10 Substitute - 30 for x in the second equation
-30+30- y = -10 + 30 Add 30 to both sides
-y = +20 Divide by -1 on both sides
y = - 20
Determine the total number of roots of each polynomial function using the factored form.
f (x) = (x + 1)(x - 3)(x - 4)
Answer:
3 roots
Step-by-step explanation:
The roots of a function is the x intercepts.
x=-1
x=3
x=4
y=-8x
y=-5x-3
solve each system of equation
Answer:
y=-8, x=1
Step-by-step explanation:
Jimmy earns money for babysitting his little
brother. He earns the same amount every
week. He is saving all the money he earns for a
summer trip. The table shows how Jimmy's
savings have been growing.
What is the simplest form for 15:25
Answer:
3/5
Step-by-step explanation:
Both can be divided by 5. So, 15 divided by 5 is 3, and 25 divided by 5 is 5! Hoped this helped :)
Hii Answer this please :)))((((
Answer:
C: 4cm, 8cm, 8cm
Step-by-step explanation:
The isosceles triangles have two sides that are the same.
hope this helped
bye
Answer:
C: 4cm, 8cm, 8cm
Step-by-step explanation:
bc i know it i think this the answer
Let u = 2i + 3j, v=-i, and w = 5i – 6j. What is the magnitude of 2(u - V + w)?
•10.0
•13.4
•17.1
•21.6
Answer:
B. 17.1
Step-by-step explanation:
Edge 2020. Hope this helps.
The magnitude of 2(u-v +w) is √292.
The given vectors are u = 2i + 3j, v=-i, and w = 5i – 6j.
We need to find the value of 2(u-v+w).
How to find the magnitude of vector?The formula to determine the magnitude of a vector (in two-dimensional space) v = (x, y) is: |v| =√(x²+ y²). This formula is derived from the Pythagorean theorem.
Now, 2(2i + 3j-(-i)+5i-6j)
=2(2i+3j+i+5i-6j)
=2(8i-3j)=16i-6j
The magnitude of 16i-6j=√16²+6²=√256+36=√292
Therefore, the magnitude of 2(u-v +w) is √292.
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At a carnival, Tammy bought 9 packs of 17 tickets each. She has used 36 of the tickets so far. How many tickets does she have left?
㏒㏑⊂·_·⊃㏒㏑
8.7 x 10 to the 2nd power
Answer:
870
Step-by-step explanation:
10^2=100. 8.7*100 is 870.
Answer:
7,569
Step-by-step explanation:
8.7 × 10= 87
87 squared (to the 2nd power) is 87×87=7,569
Fast plz
The options are
-Is
-Is not
Answer:
the rate of change is constant
Step-by-step explanation:
Subtract using the number line. - 1/3-(-1/2)
Answer:
answer is 1/1
Step-by-step explanation:
50+100n please awnser thisssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
5 ( 1 + 20 n )
Step-by-step explanation:
Answer:
Your answer will be 150
Step-by-step explanation:
your answer going to be 150
Find the equation of the line that is perpendicular to the given line and passes through the given point.
y = − 1/6x − 5; (14, 0)
The equation is y =______.
Answer:
The equation is y =6x-84.
Step-by-step explanation:
We need to find the equation of the line that is perpendicular to the given line and passes through the given point.
y = − 1/6x − 5; (14, 0)
Slope of required line
The equation of given line [tex]y = - \frac{1}{6} x - 5[/tex] is in slope-intercept form.
Comparing it with general formula of slope-intercept form [tex]y=mx+b[/tex] where m is slope and b is y-intercept. The slope of line m is: -1/6
So, the slope of required line that is perpendicular to given line is 6 because the equation of line that we need to find is perpendicular to the given line, so their slopes will be: [tex]m_1=-\frac{1}{m_2}[/tex]
So, slope = 6
Finding y-intercept of required line
Using slope =6 and point (14,0) we can find y-intercept of required line by slope-intercept formula
[tex]y=mx+b\\0=6(14)+b\\0=84+b\\b=-84[/tex]
Equation of required line:
The equation of required line having slope (m)= 6 and y-intercept (b)= -84 is:
[tex]y=mx+b\\y=6x-84[/tex]
The equation is y =6x-84.
Find the slope using the formula.
(3,-2) and (3, 6)
Answer:
m = undef
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, -2)
Point (3, 6)
Step 2: Find slope m
Substitute: [tex]m=\frac{6+2}{3-3}[/tex]Add/Subtract: [tex]m=\frac{8}{0}[/tex]Divide: m = undefWhen we divide anything by zero, we will get undefined. Therefore, this would be a vertical line.
Total emissions of carbon dioxide from the burning of fossil fuels have been increasing at about 5% per year (data from 2010 to 2011). If emissions continue to increase at this rate, about how much higher will total emissions be in 2035 than in 2010? Using the approximate formula, emissions will increase by a factor of between 2010 and 2035. Using the exact formula, emissions will increase by a factor of between 2010 and 2035. (Round to two decimal places as needed.)
Answer:
125%
Step-by-step explanation:
5% multipled by 25 years (from 2010 - 2035) = 125%
And i aint never seen to pretty best friendsssss
If emissions continue to increase at this rate, then about 125% higher total emissions will be in 2035 than in 2010.
What is the fundamental principlmultipliediplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given that Total emissions of carbon dioxide from the burning of fossil fuels have been increasing at about 5% per year.
Using the approximate formula, we can see that the emissions will increase by a factor of between 2010 and 2035.
Using the exact formula, it can be seen that the emissions will increase by a factor of between 2010 and 2035.
Therefore, 5% multipled by 25 years (from 2010 - 2035)
0.05 x 25 = 125%
If emissions continue to increase at this rate, then about 125% higher total emissions will be in 2035 than in 2010.
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In testing the validity of a multiple regression model in which there are four independent variables, the null hypothesis is:_________.
Answer: H0 : β1 = β2 = β3 = β4 = 0
Step-by-step explanation:
The null hypothesis refers to a hypotheses that simply states that no relationship exists between two phenomenons that are being tested.
In testing the validity of a multiple regression model in which there are four independent variables, the null hypothesis is H0 : β1 = β2 = β3 = β4 = 0.
Identify the critical t. An independent random sample is selected from an approximately normal population with unknown standard deviation. Find the degrees of freedom and the critical t value t∗t∗ for the given sample size and confidence level. Round critical t values to 3 decimal places.Sample size, n Confidence level Degree of Freedom Critical value, t∗t∗5 90 13 95 22 98 15 99
Answer and Step-by-step explanation: The critical value for a desired confidence level is the distance where you must go above and below the center of distribution to obtain an area of the desired level.
Each sample has a different degree of freedom and critical value.
To determine critical value:
1) Calculate degree of freedom: df = n - 1
2) Subtract the level per 100%;
3) Divide the result by 2 tails;
4) Use calculator or table to find the critical value t*;
For n = 5 Level = 90%:
df = 4
t = [tex]\frac{1-0.9}{2}[/tex] = 0.05
Using t-table:
t* = 2.132
n = 13 Level = 95%:
df = 12
t = [tex]\frac{1-0.95}{2}[/tex] = 0.025
Then:
t* = 2.160
n = 22 Level = 98%
df = 21
t = [tex]\frac{1-0.98}{2}[/tex] = 0.01
t* = 2.819
n = 15 Level = 99%
df = 14
t = [tex]\frac{1-0.99}{2}[/tex] = 0.005
t* = 2.977
The critical values and degree of freedom are:
sample size level df critical value
5 90% 4 2.132
13 95% 12 2.160
22 98% 21 2.819
15 99% 14 2.977
Every 125 pages that Raul reads during his summer reading challenge, he will collect 5 book points to use at his local library. Which graph models a relationship with the same unit rate?
Answer:
d. J
Step-by-step explanation:
Given that Raul gets 5 (y) book points for every 125 (x) pages he reads during summer challenge, we can say that his unit rate would be: y/x = 5/125 = 1/25.
Raul's unit rate is 1/25 book point to each page he reads.
Graph J also has a unit rate of 1/25 (y/x).
Therefore graph J models a relationship with the same unit rate.
Researchers doing a study comparing time spent on social media and time spent on studying randomly sampled 200 students at a major university. They found that students in the sample spent an average of 2.3 hours per day on social media and an average of 1.8 hours per day on studying. If all the students at the university in fact spent 2.2 hours per day on studying, with a standard deviation of 2 hours, the probability of getting a sample average of 1.8 or less is:________.a. 0.5893 b. 0.9977 c. 0.4207 d. 0.0023
Answer:
d. 0.0023
Step-by-step explanation:
Calculation for the probability of getting a sample average of 1.8 or less
Using this formula
z score =(X-mean)/Standard errror
Where,
Standard error =Standard deviation/√(n)
Let plug in the formula
P(Xbar<1.8)=P(Z<(1.8 hours per day -2.2 hours per day)/(2 hours /√(200))
P(Xbar<1.8)=P(Z<-0.4/(2/14.14))
=P(Z<-0.4/0.1414)
=P(Z<-2.83)
Now let find the Z score of P(Z<-2.83) using the z table
P=0.0023
Therefore the probability of getting a sample average of 1.8 or less is:0.0023
The enrollment at a small college each year is growing at a rate of 2%. If the college has 2,700 students in 2015, then which of the following models the population n years from 2015?