Answer:
1.68 seconds.
Step-by-step explanation:
The question, is, essentially asking for time, t, at position 325 feet.
So:
Set h(t) equal to 325.
325 = 16t^2 + 168t + 5
Subtract 325 over, to get the quadratic:
0 = 16t^2 + 168t - 320
Factor out an eight, simply to make the equation easier:
0 = 2t^2 + 21t - 41
Now, use the quadratic formula to find the "zeros", or solutions:
{-21 + (21^2 - [(4)(2)(-41)]^.5}/(2)(2); {-21 - (21^2 - [(4)(2)(-41)]^.5}/(2)(2)
Simplify:
(-21 + [441 + 328]^.5)/4; (-21 - [441 + 328]^.5)/4
(-21 + [769]^.5)/4; (-21 - [769]^.5)/4
(-21 + 27.73)/4; (-21 - 27.73)/4
(6.73)/4; (-48.73/4)
t = 1.68, -12.18
It makes no sense for t to be negative, since t represents time.
Therefore, the potato is 325 feet in the air after 1.68 seconds.
I hope this helped! :)
The potato is 325 feet in the air after 1.68 seconds on the way back down.
What is a quadratic function?The quadratic function is defined as a function containing the highest power of a variable is two.
The question is effectively inquiring about time, t, at 325 feet.
Set h(t) equal to 325.
325 = 16t² + 168t + 5
Subtract 325 over, to get the quadratic:
0 = 16t² + 168t - 320
Factor out an eight, simply to make the equation easier:
0 = 2t² + 21t - 41
2t² + 21t - 41 = 0
Compare the given function to the standard quadratic function f(x) = ax² + b x + c.
We get a = 2, b = 2 and c = -12
Now, use the quadratic formula to find the "zeros", or solutions:
[tex]\quad x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]t=\dfrac{-21\pm \sqrt{21^2-4\cdot \:2\left(-41\right)}}{2\cdot \:2}[/tex]
[tex]\sqrt{21^2-4\cdot \:2\left(-41\right)}[/tex]
[tex]=\sqrt{21^2+328}[/tex]
t = (-21 + 27.73)/4; (-21 - 27.73)/4
t = (6.73)/4; (-48.73/4)
t = 1.68, -12.18
Because t symbolizes time, it makes no sense for it to be negative.
As a result, after 1.68 seconds, the potato is 325 feet in the air.
Learn more about quadratic function here:
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#SPJ2
1 2 3 HELPPPPPPPPPP DUE IN 1 HOUR
Answer:
<(3) >(2)
Step-by-step explanation:
Genus < Phylum
Class < Family
Kingdom < Species
Order > Classes
Phylum > Family
im not 100%
but hope this helps pls mark as brainliest.
Let A = {O, 2, 4, 6, 8, 10}, B = {O, 1, 2, 3, 4, 5, 6}, and C = {4, 5, 6, 7, 8,9, 10}. Find
Answer:
Ans= {0,1,2,3,4,5,6,7,8,9,10}
Step-by-step explanation:
Union of set A, B, C
A={0,2,4,6,8,10}
B={0,1,2,3,4,5,6}
C={4,5,6,7,8,9,10}
Union={0,1,2,3,4,5,6,7,8,9,10}
HELP PLS
A construction crew is lengthening a road. The road started with a length of 54 miles, and the crew is adding 2 miles to the road each day.
Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D. Then use this equation to find the total length of the road after the crew has worked 39 days.
FIND EQUATION AND TOTAL LENGTH OF ROAD AFTER 39 DAYS
Answer:
L=54+2d
L=54+2*39
L=54+78
L=132
Answer:
L = 2D + 54
132 miles
Step-by-step explanation:
Starting length: 54
Additional length each day: 2
On day 0, the additional length is 0.
On day 1, the additional length is 2 × 1
On day 2, the additional length is 2 × 2
On day 3, the additional length is 2 × 3
...
On day D, the additional length is 2 × D or simply 2D.
The total length after D days is the original length plus the total amount of the daily additions.
The equation is:
L = 2D + 54
On day 39, D = 39
L = 2D + 54
L = 2 × 39 + 54
L = 78 + 54
L = 132
Answer:
L = 2D + 54
132 miles
Kim wants to estimate the distance from her home to school. She times the walk as taking 15
min. What is the distance if Kim walks 1 mile in 20 min?
Answer:
0.75 miles
Step-by-step explanation:
15/20 = 3/4 = 0.75
15 is 3/4 of 20
0.75 mile is 3/4 of 1mile
Find the value of this expression if x = 3. x ^2 -1/ x+ 1
Sean baked 5 batches of cookies. Each batch contained between 3 dozen and 5 dozen cookies. Which is a reasonable estimate of the
total number of cookies Sean baked?
Answer:
96 or 2,160
Step-by-step explanation:
Helpppp plaseeeee hurryyyyy Vocabulary I need the definition of these
Inverso Aditivo
Inverso Multiplicativo
Números Opuestos
Números Recíprocos
Valor Absoluto
Answer:
Inverse Additive
Inverse multiplicative
Opposite Numbers
Reciprocal Numbers
Absolute value
Step-by-step explanation:
Inverse Additive is the number that is added to a given number to make the sum zero. For example, the additive inverse of 3 would be -3, because 3 + -3 = 0.
Inverse multiplicative is defined as a number which when multiplied by the original number gives the product as 1. For example, the multiplicative inverse of 5 would be 1/5, because multiplying 1/5 by the number 5 would equal to the product of 1.
Opposite Numbers- The opposite of a number is the number on the other side of 0 number line, and the same distance from 0. Basically same thing as an additive inverse. The negative version of a positive number, and vice versa.
Reciprocal Numbers- The reciprocal of a number is this fraction flipped upside down. In other words, the reciprocal has the original fraction's bottom number—or denominator—on top and the top number—or numerator—on the bottom.
Absolute value- The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign.
What is the correct answer 2+245=
Answer:
247
Step-by-step explanation:
2 + 245
= 002 + 245
= 247
does 3x-y=4 and 6x-2y=8 have a solution?
Answer:
No there is no solution
Step-by-step explanation:
X cannot be found no matter how you try to solve the simultaneous equation so therefore y can also not be found.
Simplify the following into a single logarithm: 3 log ( 6 ) − 3 log ( x )
Answer:
3 log (6/x)
Step-by-step explanation:
Rule: log(a) - log(b) = log(a/b)
3 log ( 6 ) − 3 log ( x ) = 3 log (6/x)
what is 1/8 as a fraction decimal and percent
Find the value of x.
Answer:
12.5
Step-by-step explanation:
In this problem, we see a 5 on one side. The other side will be 5 as they have the congruent line indicator.
The formula for these types of problems are a*b=c*d.
a = 5
b = 5
c =2
d = x
(5)(5)=2(x)
x = 25/2 = 12.5
Akaia ran 1.5 miles every Monday, 2 miles every Tuesday, 1.75 miles every Wednesday. How many total miles did she run in 4 weeks?
Answer:
21 miles
Step-by-step explanation:
1.5+2+1.75=5.25 but since it says total miles in 4 weeks
the function of g(x) is the height of a football x seconds after it is theown in the air. The football reaches its maximum height of 30 feet in 4 seconds, and hits the ground at 10 seconds. What is the practical domain for the function f(x)?
The domain of the function will be less than or equal to 4 is x ≤ 4
Domain of a functionThe domain of a function are real values for which the function exists
For the question given, the time taken will serve as the domain of the function while the height after a particular time will be the range.
The domain depends on the time it takes to reach the maximum height. SInce the football reaches its maximum height of 30 feet in 4 seconds, hence the domain of the function will be less than or equal to 4 is x ≤ 4
Learn more on domain here: https://brainly.com/question/26098895
One of the greatest assets of a second Terry is often his/her ability on the keyboard of a computer. Miss Garcia has been recognized as the most outstanding typist at prestigious firm because of her outstanding typing speed. The table below displays data collected from her most recent evaluation.
Write an equation to represent the total number of words, Y, that Miss Garcia can type in X minutes.
if Miss Garcia maintains a constant speed consistent with the results above, how many words will she type in 49 minutes?
Answer:
Y = 70X
or
Y = 70*X
Step-by-step explanation:
The words she will type in 49 minutes will be,
70*49 ===> 3430 words
Find the median of the data. 3,5,7,9,11,3,8 The median is...
Answer:
Step-by-step explanation:3
,
5
,
7
,
9
,
11
,
8
,
3
Arrange the terms in ascending order.
3
,
3
,
5
,
7
,
8
,
9
,
11
The median is the middle term in the arranged data set.
7
Answer:
the median is 7.
Step-by-step explanation:
line each number up in order from least to greatest. it should look like this. 3, 3, 5, 7, 8, 9, 11
on a sheet of paper, cross of the numbers on the ends until you get to the middle.
once you have gotten to the middle you should have one number left which is 7.
because this is a uneven number there will be only one number for the median.
i hope this helped<33.
please help me answer this asap thank you
find the value of x.
Answer:
x = 20
Step-by-step explanation:
the product of the measures of the parts of one chord is equal to the product of the measures of the parts of the other chord , that is
9x = 15 × 12 = 180 ( divide both sides by 9 )
x = 20
HELP ASAP
Connor needs 60 mL of a 19% acid solution for a science experiment. He has available a 21% solution and a 15% solution.
How many milliliters of the 21% solution and how many milliliters of the 15% solution should he mix to make the 19%
solution?
Provide your answer below:
mL
21% solution:
mL
15% solution:
FEEDBACK
Content attribution
1 POINT
QUESTION 15
8 and the interest rate on the second loan was 9%.
Answer:
Let x = ml of 21% solution
Let y = ml of 15% solution
ATQ,
x + y = 60.....(1)
or
0.21x + 0.15y = 0.6....(2)
Multiplying equation 1st by 0.21, we get,
0.21y+0.21y =12.6....(3)
subtracting equation 3
0.21y+0.21y =12.6
-0.21x +0.15y = 0.6
_________________
ㅤㅤㅤ 0.6y = 12
_________________
6y = 12
y = 20ml
x= 60-20 = 40 ml
Hence , Conner needs 20ml of 21% solution & 40ml of 15% solution
Which symbol would best replace the question marks below? 100 ? 88 ? 57 ? 47 ? 31 ? 16
A.=
B.<
C.>
Answer:
C
Step-by-step explanation:
Because the numbers on the left are always greater than the numbers on the right.
If you were to cover a pizza with cheese, how much area, rounded to the nearest whole number, would you need to cover with cheese if the pizza had a circumference of 31.4 inches?
Answer:
79 square inches
Step-by-step explanation:
First, let's find the diameter given the circumference.
[tex]C=\pi d[/tex] [tex]d=\frac{C}{\pi }[/tex] [tex]d= 31.4/3.14[/tex] [tex]d=10[/tex]Next, we know the the radius is half the diameter, so the radius is 5 inches. Now, we can solve the area of the circle.
[tex]3.14 * 5^2[/tex] [tex]3.14 * 25[/tex] [tex]78.5[/tex] 78.5 ≈ 79 square inchesTherefore, the answer is 79 square inches.
What is the height of a cone is the volume is 718.38mi^2 and the radius is 7mi?
Answer:
14 mi
Step-by-step explanation:
V = 718.38 mi³, r = 7 mi, find h
Use V = πr²h/3
718.38 = 3.14 * 7² * h/3
718.38 = 51.287 h
h = 718.38/51.287 = 14 mi
prove that -
[tex] \sin {}^{2} (\theta) + \cos {}^{2} (\theta) = 1[/tex]
thankyou ~
Explanation:
In the right triangle shown in the attachment, we have, by definition, ...
sin(θ) = a/c
cos(θ) = b/c
Then ...
sin²(θ) +cos²(θ) = (a/c)² +(b/c)² = (a² +b²)/c²
By the Pythagorean theorem, ...
c² = a² +b²
Substituting for c², we have ...
sin²(θ) +cos²(θ) = (a² +b²)/(a² +b²)
sin²(θ) +cos²(θ) = 1
_____
Additional comment
This trig identity also goes by the name "Pythagorean identity."
A restaurant serves a 16 inch pizza and a 20 inch pizza. About how many square inches is
each?
Answer:
16×16=256
20×20=400
multiply the number with its self and that's the square inches of each pizza.
The length of a classroom is 41 feet.
What is this measurement in yards and feet?
The measurement is yd ft.
Answer:
There are 3 feet in a yard, so divide 34 by 3, which is 11 with a remainder of 1, the remainder 1 is the remaining foot, so 34 feet is 11 yards and 1 foot.
Step-by-step explanation:
Evaluate the expression 4 exponent 3 + 96 divided by 8 times 5 - 42
Answer: 61
Step-by-step explanation: 1+12*5
Simplify the sum 43+(96/8)*5-42
1
Add 43 and -42
12*5
Reduce 96/8 by factoring out and cancelling common factors
8*12/8.1
Factor out 8 from the top and bottom of the fraction
8*12=96
8*1=8
96/8=12
multiply 12 and 5. 12*5= 60
add 60 and 1
so the answer is 61
Find the point-slope equation for the line
that passes through the points (5, 19) and
(-5, -1). Use the first point in your
equation.
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ =\frac{-1-19}{-5-5} \\=\frac{-20}{-10} =2\\y-y_{1} =m(x-x_1)\\\\m=2\\(x_1, y_1)=(5, 19)\\y - 19 = 2(x - 5)\\y = 2x+9[/tex]
The prime factorization of which number 2⁵ x 5?
Answer:
Step-by-step explanation:
[tex]2^{5} *5 = 2 * 2* 2 * 2 * 2 *5[/tex]
= 160
(Algebra 2)
Find the inverse of f(x) and its domain.
Pepper Jackie used a precision hydrometer to perform an experiment
Answer:
Both have about the same range of sugar,but Jim's jint uses more sugar overall.
Step-by-step explanation:
a blue and a red dice are rolled, what is the probability of rolling an odd number on the blue and an even number on the red?