The height of an object after it is released can be modeled by the function f (x) = negative 16 t squared v t s, where t is the number of seconds after the object is released, v is the upward speed in feet per second at release, and s is the starting height in feet. if a quarterback throws a ball from his hand 6 feet in the air at an upward speed of 25 feet per second, how much time does his teammate have to catch the ball?
The amount of time his teammate have to catch the ball is equal to 1.774 seconds.
Given the following function:
f(x) = -16t² + vt + s.Displacement, s = 6ft.Velocity, v = 25 ft/s.How to calculate the amount of time?In order to determine the amount of time his teammate have to catch the ball, we would evaluate the given position-time function as follows:
f(t) = -16t² + 25t + 6.
In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c =0
Where:
a = -16.
b = 25.
c = 6.
Solving the function by using the quadratic formula, we have:
t = [-b ± √(b² - 4ac)]/2a
t = [-25 ± √[(25² - 4(-16)(6))]/2(-16)
t = [25/32 ± (-1/32)√1009]
t = 25/32 ± (-0.993)
t = 0.781 ± 0.993
t = 0.781 + 0.993
Time, t = 1.774 seconds.
Note: We ignored the negative value because time cannot be negative.
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Answer:
B
Step-by-step explanation:
The verified dude saisd so
Item 5 A six-sided number cube is rolled, and then a spinner with 5 equal sections labeled A through E is spun. What is the probability of rolling a number less than 4 and spinning a D? 115 110 215 710
Answer 1/10
Step-by-step explanation:
I took the quiz.
The probability of rolling a number less than 4 and spinning a D is 1/10 or 0.10. The correct answer is option B.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Since there are 6 sections on the number cube, the probability of rolling a number less than 4 is 3/6 or 1/2.
The spinner has 5 equal sections labeled A through E, so the probability of spinning a D is 1/5.
To find the probability of both events happening, we multiply the probabilities of each event:
(1/2) x (1/5) = 1/10
Therefore, the probability of rolling a number less than 4 and spinning a D is 1/10 or 0.10.
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The sum of two complex numbers is −3 + 5i. If one of the complex numbers is 1−8i, which answer choice below is the other number?
Answer:
C
Solution
For a complex number written in the form a + bi, a is called the real part of the complex number and b is called the imaginary part. The sum of two complex numbers, a + bi and c + di, is found by adding real parts and imaginary parts, respectively, that is, (a + bi) + (c + di) = (a + c) + (b + d)i. Therefore, the sum of 2 + 3i and 4 + 8i is (2 + 4) + (3 + 8)i = 6 + 11i.
Choice A is incorrect and is the result of disregarding i and adding all parts of the two complex numbers together, 2 + 3 + 4 + 8 = 17. Choice B is incorrect and is the result of adding all parts of the two complex numbers together and multiplying the sum by i. Choice D is incorrect and is the result of multiplying the real parts and imaginary parts of the two complex numbers, (2)(4) = 8 and (3)(8) = 24, instead of adding those parts together.
HELP AND EXPLAIN
At a family reunion, family members are given a choice of swimming at the lake or going on a hike. The family
constructed the following frequency table to analyze the data.
Lake
Hike
Total
Children
6
Adults
9
Total
14
38
15
What does the relative frequency of represent in the situation?
X
Out of all the children, 15 prefer the lake.
Out of all the children, 15 prefer a hike.
Out of all the family members that prefer a Mike, 15 are children.
Out of all the family members that prefer the lake, 15 are children.
The relative frequency of 15/24 for this considered situation represents the situation given by: Option C: Out of all the family members that prefer a lake, 15 are children.
How to find the relative frequency?Relative frequency is the ratio of the considered sub group's count to the total count. (so its frequency of the considered sub group relative to the total frequency). (subgroup being group defined by a row, or a column)
How to form two-way table?Suppose two dimensions are there, viz X and Y. Some values of X are there as [tex]X_1, X_2, ... , X_n[/tex] and some values of Y are there as [tex]Y_1, Y_2, ... , Y_n[/tex]
List them in title of the rows and left to the columns. There will be [tex]n \times k[/tex] table of values will be formed(excluding titles and totals), such that:
Value(ith row, jth column) = Frequency for intersection of [tex]X_i[/tex] and [tex]Y_j[/tex] (assuming X values are going in rows, and Y values are listed in columns).
Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.
For n = 2, and k = 2, the table would look like:
[tex]\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}[/tex]
where S denotes total of totals, also called total frequency.
n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.
The given two-way frequency table is:
Lake Hike Total
Children 6
Adults 9
Total 14 38
Total of hike subgroup is 14, out of which children are 6, so adults going for hiking must be 14 - 6 = 8 as adults and children going for hiking together are 14 in counts.
So, we get:
n(Hike ∩ Children) = 8
Thus, the total of subgroup Adults is 9+8=17 = n(Adults)
Total of vertical total columns is: n(Children) + n(Adults) = 38
or, we get: n(Children) = 38 - 17= 21
Since total of children subgroup is:
n(Lake ∩ Children) + n(Hike ∩ Children) = n(Children)
Thus, we get:
n(Lake ∩ Children) + 6 = 21
n(Lake ∩ Children) = 21-6 = 15
Thus, sum of the 'lake' subgroup is:
n(Lake) = n( Lake ∩ Children) + n(Lake ∩ Adults)
n(Lake) = 15 + 9 = 24
Thus, the completed two-way table is:
Lake Hike Total
Children 15 6 21
Adults 9 8 17
Total 24 14 38
Now, we've to find what does 15/24 represents.
The division is done by 24, which is the total of "lake" subgroup.
And in that lake subgroup, we have:
n(Lake ∩ Children) = 15
Thus, 15/24 is the relative frequency of those children who prefer the lake, relative to total number of people who prefer lake.
Thus, the relative frequency of 15/24 for this considered situation represents the situation given by: Option C: Out of all the family members that prefer a lake, 15 are children.
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Help, with math! due soon!
Answer:
a) (4, 5)
b) (3, -1)
c) (4, 4)
d) (-3, 2)
e) (3, 1)
f) (7, 8)
Step-by-step explanation:
I hope this helped. If it did mark brainliest pls :)
Select the correct answer.
What is the equation of the parabola opening upward with a focus at and a directrix of ?
A. f(x) = 1/32(x - 9)^2 + 19 =
B. f(x) = 1/32(x + 9)^2 + 19 =
C. f(x) = 1/16(x - 9)^2 + 19 =
D. f(x) = 1/16(x + 9)^2 - 19 =
Answer:
b
Step-by-step explanation:
on plato
The equation of the parabola opening upward with a focus at and a directrix will be f(x) = 1/32(x + 9)^2 + 19. so option B is correct.
What is the equation of the parabola?The equation can be written as
f(x) = 1/(4p)(x -h)^2 +(k-p)
where (h, k) is the focus, and p is half the distance between focus and directrix.
Here, We have the upward parabola;
(h, k) = (-9, 7) and p = (7 - (-9))/ 2 = 8.
So the equation is
f(x) = 1/32(x + 9)^2 + 19
The equation of the parabola opening upward with a focus at and a directrix will be f(x) = 1/32(x + 9)^2 + 19. so option B is correct.
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Find the length of the unknown side
SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLIST ANSWER
Answer:
c=?=13
Step-by-step explanation:
Using the Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex] where a=5 and b=5, and solving for c=?
[tex]5^2+12^2=c^2[/tex]
[tex]25+144=c^2[/tex]
[tex]169=c^2[/tex]
[tex]c=\sqrt{169}[/tex]
c=13
Solve equation using SQAURE ROOTS, show work. Round to the nearest hundredth if needed
Answer:
x=8, x=4
Step-by-step explanation:
Add 4 to both sides
[tex](x-6)^2=4[/tex]
Square root
[tex](x-6)= \sqrt{4}[/tex]
x - 6 = ±2
x = 8
OR x = 4
So, x=8 or x=4
What is the volume??
Answer:
V=828.96cm²
Step-by-step explanation:
V=（4/3）∏r³*（1/2）+（1/3）∏r²h
r=6cm
h²=(2√34)²-6²=4*34-36=100
h=10cm
V=2/3*6³∏+1/3*36*10∏=144∏+120∏=264∏=264*3.14=828.96cm²
Which number has an absolute value greater than 5
A -6
B -5
C 0
D 5
Answer:
A -6
Step-by-step explanation:
The reason why this is your answer is because -6's absolute value is 6
As we know, 6 is higher than 5
so hence, your answer is A -6
EXTRAS:
Absolute values of other answer choices...
-5 = 5
0 = 0
5 = 5
Answer:
The number that has an absolute value greater than 5 is -6 so that answer will be A
Make n the subject of the formula y=m^2 - 4n^2
Answer:
Make n the subject of the formula y =m² -4n² .
Step-by-step explanation:
it's the same i hope it can help.
Find the value of x that makes m congruent to n
Answer:
x=10
Step-by-step explanation:
13x=130
because they are parallel we know that line m and n are equal angles
since 13x° and 130° aee both obtuse angles they are equal
so set them equal 13x=130
and solve for x
divide both sides by 13
(13x)/13 = 130/13
leaving us with x=10
OMG PLS HELP ME I GOT ONLY 1 MIN TO ANSWER!!!! JUST 3 QUESTIONS, 100 POINTS
1.Chris takes a math test where each correct answer scores 3 points, but each incorrect answer takes away 3 points. If there are 10 questions on the test, and Chris misses all of them, which equation would be used to calculate Chris' test score?
3 × (-10)
-3 x 10
3 x 10
2.Two numbers are multiplied and the product is negative. If one number is negative, what is true of the other number?
It is 0.
It is positive.
It could be positive or negative.
3. Which expression means to add -6, 9 times?
9 × (-6)
-9 × 6
-6 × 9
-6 × (-9)
Answer:
-3 x 10.
It is positive.
9 × (-6).
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
1. -3x10
2.it is positive
3.-6 times 9
I need help with this please
Answer:
The measure of the angle is exactly x.
A person going to a party was asked to bring 2 different bags of chips. Going to the store, she finds 11
varieties.
How many different selections can she make?
I
Answer:
Step-by-step explanation:
...
11C2=55
BRAINLIEST! and MAX POINTS!
Given the following numbers:
π,2√5,√8,√3,√27
part A. Approximate the square root terms using the perfect squares approximation method. Your answer should be a mixed fraction. Make sure to show your work.
Please note pi does not need to be approximated by the perfect squares approximation method as it is not a square root.
part B. Order the numbers from least to greatest. Please show your answer using the original symbols and radicals provided. You may use decimals or fractions as part of your work for figuring it out.
Help soon
There are 6 white socks, 3 blue socks, and 1 black sock in a basket. One sock is randomly picked and replaced. Then another sock is picked.
What is the probability of getting a blue sock then a black sock?
3/100
1/30
4/90
1/5
Answer:
the answer is 3/100
Step-by-step explanation:
the probability=
pr(blue)*pr(black)
=3/10*1/10
=3/100
hope this helps
please give brainest
what is 252 in index form
Answer: The factors of 252 can either be prime or composite. Subsequently, 252 is an even composite number itself which comprises of factors that are either prime or composite.
Step-by-step explanation:
Factor pair Pair factorization
2 and 126 2 × 126 = 252
3 and 84 3 × 84 = 252
4 and 63 4 × 63 = 252
6 and 42 6 × 42 = 252
What was the farthest Nicole rode in a day?
The furthest she rode would be the highest number the orange line covers which is 20.
Answer: 20 miles
Answer: the answer is 20 Miles .
Step-by-step explanation: as in the diagram the fathest and highest thing was 20 so 20 Miles .
PLEASE ANSWER! 5 STAR RATING - THANKS (PROFILE TOO) - BRAINLIEST IF I CAN
Each year, a school sends 50 students to a
conference.
Last year, the cost was $12.50 per student.
This year, the cost per student has increased
by 16%.
What is the total cost to send 50 students to
the conference this year?
a $625
b $633
c $725
d $841
Answer:
c) $725
Explanation:
Last year price: $12.50
If increased by 16%, 100% + 16% = 116%
116% * $12.50
$14.5, each student
Total cost for all 50 students
$14.5 * 50
$725
Is 2g + 2d equivalent
to 2(g + d) ? Why or why not?
Answer:
Yes
Step-by-step explanation:
When opening the parenthesis of 2(g + d), the 2 is being multiplied by each addend. Therefore, 2(g + d) is 2g + 2d simplified.
The graph of the function y = 2x^2 + bx + 8 is shown.
What is the value of b?
The value of b is 4 and the function becomes y = 2x²-12x+8 because (2, -8) lie on the function.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have:
[tex]\rm y = 2x^2+bx+8[/tex]
The above function shows the equation of the parabola.
From the graph, we can see the point(2, -8) lie on the graph of the function,
So point(2, -8) will satisfy the function.
Plug y = -8 and x = 2 in the function.
[tex]\rm -8 = 2(2)^2+b(2)+8\\\\-16 = 8+2b\\-24 = 2b \\b = -12[/tex]
Thus, the value of b is 4 and the function becomes y = 2x²-12x+8 because (2, -8) lie on the function.
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which inequality shows the relationship between the plotted points on the number line -5>-2?
PLEASE HELP ME NB IS ASWERING MY QT SO HELP ASAPP!!
Answer:
Step-by-step explanation:
Jace gathered the data in the table. he found the approximate line of best fit to be y = –0.7x 2.36. a 2-column table with 5 rows. the first column is labeled x with entries 0, 1, 4, 5, 7. the second column is labeled y with entries 3, 1, 0, negative 2, negative 2. what is the residual value when x = 5? –3.14 –0.86 0.86 3.14
The residual value is the difference in the value of the y coordinate between the real value and the expected value. The residual value will be equal to -0.86.
What is residual value?The residual value is the difference in the value of y coordinate between the real value and the expected value.
Residual Value = Real value of y - The predicted value of y
The value of y in the table is -2 when the value of x is 5. And as per the function, the value of y when the value of x is 5 can be written as,
[tex]y = -0.7x+2.36\\\\y = -0.7(5)+2.36\\\\y= -3.5+2.36\\\\y=-1.14[/tex]
Now, the residual value can be written as,
[tex]\text{Residual Value} = \text{(Value of y in the table)} - \text{(Value of y as per the function)}\\\\\text{Residual value} = -2 - (-1.14)\\\\\text{Residual value} = -2+1.14\\\\\text{Residual value} = -0.86[/tex]
Hence, the residual value will be equal to -0.86.
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Answer:
-0.86
Step-by-step explanation:
cuz im a slay queen boss
If the area of a triangle is 16 units. And the base is 4, what is x?
Answer:
the area of triangle formula is A = B*H / 2 so it means 16 square = (x+4) x /2 so x²+4x -32=0, D' = 2²- (-32)= 36, sqrt of D' = 6 so x = -2 -6 = -8 or x= -2 +6 = 4 x must be positive so x = 4
Step-by-step explanation:
i really hoped this helped you.
What is the volume of the triangular prism below?
and can someone tell me how to do this
Answer:
4.5 ft^3
Step-by-step explanation:
note to convert 18 in. to feet = 1.5 feet
divide the length value by 12
PLEASE HELP If a fair coin is tossed 9 times, what is the probability, to the nearest thousandth, of getting exactly 1 heads?
The probability of getting exactly 1 head when a fair coin is tossed 9 times is approximately 0.017, to the nearest thousandth.
To find the probability of getting exactly 1 head when a fair coin is tossed 9 times, we can use the concept of binomial probability. The probability of getting a head on a single coin toss is 1/2, and the probability of getting a tail is also 1/2.
In this case, we want to calculate the probability of getting exactly 1 head out of 9 tosses. This can be represented as a binomial probability with parameters n (number of trials) and p (probability of success).
Using the binomial probability formula:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
where n is the number of trials, k is the number of successful outcomes, and p is the probability of success.
In our case, n = 9, k = 1, and p = 1/2.
Plugging these values into the formula:
P(X = 1) = (9 choose 1) * (1/2)^1 * (1 - 1/2)^(9 - 1)
P(X = 1) = 9 * (1/2) * (1/2)^8
P(X = 1) = 9 * (1/2)^9
P(X = 1) = 9/2^9
P(X = 1) ≈ 0.017
Therefore, the probability of getting exactly 1 head when a fair coin is tossed 9 times is approximately 0.017, to the nearest thousandth.
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juices in ounces
can someone and hurry and answer this??
Answer:
3 2/5
Step-by-step explanation:
The amounts of ounces all together is 17/5 ounces and 17/5 is equal to 3 2/5 therefore the answer is 3 2/5 since it is split as evenly as possible.
Henry made the scatterplot shown.
The scatterplot shows the data points, and it also shows the linear model that
Henry drew. Which statement best describes the linear model?
A The linear model describes the data well because points are scattered above
and below the line.
B The linear model describes the data well because all the points are close to
the line.
C The linear model does not describe the data well because the line does not
go through any of the points.
D The linear model does not describe the data well because most of the points
are located above the line.
Answer: The linear model does not describe the data well because most of the points are located above the line.
Step-By-Step Explanation: The scatterplot shows the data points, and it also shows the linear model that Henry drew.
Solve the quadratic formula 3x^2+x-5=0
Answer:
x=(1+sqrt(61))/6=1.468
Step-by-step explanation: