Answer:
Time, t = 5 seconds.
Step-by-step explanation:
Given the following data;
Initial velocity = 16 ft/s
Height = 480 ft
Acceleration due to gravity = 32 ft/s²
To find how much time it will take the ball to reach the ground, we would use the kinematic equation given by the formula;
[tex] d = V_{i}t + \frac {1}{2}at^{2} [/tex]
Where;
d is the displacement.Vi is the initial velocity.a is the acceleration or acceleration due to gravity.t is the time measured in seconds.Substituting into the equation, we have;
[tex] 480 = 16t + \frac {1}{2}*32t^{2} [/tex]
[tex] 480 = 16t + 16t^{2} [/tex]
Dividing all through by 16, we have;
[tex] 30 = t + t^{2} [/tex]
Re-arranging the quadratic equation, we have;
[tex] t^{2} + t - 30 = 0 [/tex]
We would solve the quadratic equation by factorization;
[tex] t^{2} + 6t - 5t - 30 = 0 [/tex]
[tex] t(t + 6) - 5(t + 6) = 0[/tex]
[tex] (t + 6)(t - 5) = 0 [/tex]
t = -6 or 5
Since we know time can't be negative, we would ignore the value of -6.
Therefore, time = 5 seconds
at davidson's bike rentals it cost $42 to rent a bike for 9 hours. how many hours of bike use does a customer get per dollar?
Answer:
3/14 of an hour
Step-by-step explanation:
9 hours/42 dollars
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Which function corresponds to the table?
A)
y = 3x - 2
B) is eliminated
C)
y = -2x + 3
D)
y = -3x + 2
Answer:
c
Step-by-step explanation:
0 is at 3 so its +3
the difference between y's is -2 and between x's is 1 so -2/1 is -2 as you slope
A cyclist rides at a constant speed, traveling 52 miles in 2.25 hours. Write a proportion that gives the number x of hours it takes the cyclist to ride 114 miles. I’ll give 30 points
Answer:
4h55m57.69ssss
Step-by-step explanation:
2,25×114÷52
is (0,3) a solution to y>2
Answer:
y>1
Step-by-step explanation:
can someone help me please! it's dude today in 30 minutes & i am having a hard time .
x = 109
Step-by-step explanation:
1. All of a triangles angles will add up to 180 degrees
2. Take 180 then subtract 48 from 180
3. Your new number is now 132. Take 132 then subtract 23.
4. Answer is 109
Answer:
x=109°
Step-by-step explanation:
In a triangle, all the angles have to add up to 180° and so add and then subtract to find x
48+23=71
180-71=109
so, x=109°
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.14 and the probability that the flight will be delayed is 0.16. The probability that it will not rain and the flight will leave on time is 0.79. What is the probability that it is not raining if the flight has been delayed?a. P(delayed | rain) = 0.08.
b. P(delayed | rain) = 0.083.
c. P(rain | delayed) = 0.06.
d. P(rain | delayed) = 0.056.
Answer:
The appropriate answer is "0.437".
Step-by-step explanation:
Given:
P(rain) = 0.14
then,
P(no-rain) = 1-P(rain)
= 1-0.14
= 0.86
P(delay) = 0.16
P(rain and on time) = 0.79
then,
By using the conditional probability, we get
⇒ [tex]P(A|B)=\frac{P(A \cap B)}{P(B)}[/tex]
or,
⇒ [tex]P(no \ rain|delay) = \frac{P(no \ rain \cap delay)}{P(delay)}[/tex]
By substituting the values, we get
⇒ [tex]=\frac{0.07}{0.16}[/tex]
⇒ [tex]=0.437[/tex]
Testing mom answer key for Isee Middle level test 4 entering 7th - 8th grade. Find the answer key and send to me or put here! Pls help me! I will give brainliest! (Both math and reading)
Answer:
https://cdn.erblearn.org/pdf/www/WTE_Middle_September2018_FINAL.pdf
Step-by-step explanation:
This may be it! Sorry, I didn’t take the ISEE, I only took the SHSAT! I’ll keep looking for it!
Which function is graphed on the right? y = 2x+3 – 2 y = 2x–3 + 2 y = 2x–2 + 3 y = 2x–2 – 3 On a coordinate plane, an exponential function approaches y = 3 in quadrant 2 and increases exponentially in quadrant 1.
Answer:
(B) Second Graph
Step-by-step explanation:
Edge 2021
Answer:
C on edge 2022
Step-by-step explanation:
y = 2^x–2 + 3
What is the probability of flipping a coin 10 times and getting tails 6 times? Round your answer to the nearest tenth of a percent. O A. 20.5% B. 11.7% O C. 1.0% O D. 4.4% SUBMIT
Answer:
0.2051
Step-by-step explanation:
The probability of follppping a coin 10 tones and getting a tail 6 times can be solved in different ways :
One way is to use the binomial probability relation :
Where :
P(x = x) = nCx * p^x * q^(n-x)
Number of trials, n = 10
p = 1/2 (probability of obtaining a tail per flip)
q = 1- 1/2 = 1/2
x = 6
P(x = 6) = 10C6 * 0.5^6 * 0.5^4
P(x = 6) = 0.205078125
P(x = 6) = 0.2051
Rewrite 12%as a common fraction in a simple form
Answer:
3/25
Step-by-step explanation:
12% = [tex]\frac{12}{100}=\frac{4*3}{4*25}=\frac{3}{25}[/tex]
Convert percentage to fraction and then simplify
Answer:
3/25
Step-by-step explanation:
12% = 12/100 = 3/25 = 3/25
David's wife sends him to the store to buy pickles and ice cream. Ice cream cost 3 dollars per pound and pickles costs 4 dollars per pound. David has 60 dollars in his wallet. Let x be the number of pounds of ice cream and y be the number of pounds of pickles that David purchases. State the inequality that represents his budget, and graph the solution that represents the possible combinations of x and y . Express your answer with the standard form a x + b y on the left side. The budget inequality is __________________
Answer:
3x+4y=60
Step-by-step explanation:
3x+4y=60
write a function rule for the table.
A. f(x)=-2x
B. f(x)=x+2
C. f(x)=x-2
D. f(x)=2x
How to write a solution to the equation x^2=5 using exponents and radicals
Answer:
x = sqrroot(5)
Step-by-step explanation:
The radical form of x²=5 is x= ±√5.
What is Radical form?The √ symbol that is used to denote square root or nth roots.
An expression with a square root is referred to as a radical expression. Radicand: A value or phrase included within the radical symbol.
Radical notation is the usage of a root in an expression, such as the square or cube root.
For example, radical form is ∛3 = √27.
Given:
x²=5
Now, we have to write it in the radical form.
So, we can write
x= ±√5
Hence, the radical form of x²=5 is x= ±√5.
Learn more about radical form here:
https://brainly.com/question/27272065
#SPJ2
in a recent year 33% of the college students were enrolled part-time. if 7.9 million students were enrolled part-time that year what was the total number of the college students?
Answer:
23.9393939393 million
Step-by-step explanation:
I keep it as 7.9 instead of 7900000 to not deal with the zeros.
7.9x[tex]\frac{100}{33}[/tex]=23.9393939393
23.9393939393 answer in millions
Ken normally leaves work at 5:00 pm, but he is leaving 20 minutes late today. He decides to make up time by taking the toll road instead of side streets. He can travel three times faster by taking the toll road. Create an equation in terms of x to represent the number of minutes after 5:00 pm he arrives home from work if he leaves late. Let x represent the number of minutes his normal commute takes when he leaves on time.
y equals one third times x plus twenty
y = 3x + 20
y equals one third times x minus twenty
y = 3x − 20
NO LINKS
Answer:
y =1/3x+20
Step-by-step explanation:
He starts 20 minutes late so we need to add 20 minutes to the time
He travels 3 times faster so he takes 1/3 of the normal time x
y =1/3x+20
Answer:
A) y = 1/3x + 20
Calculate the area of the composite shape below.
A. 160 m2
B. 166 m²
C. 170 m2
D. 190 m²
NEED HELP PLEASE check the picture
Answer:
Area of the rectangle + area of trapezium
(6×20)m² + 1/2×(8+20)× 5m²
120+ 70m²
190 m²
OPTION D
Use the svd() function in MATLAB to compute , the rank-1 approximation of . Clearly state what is, rounded to 4 decimal places. Also, compute the root mean square error (RMSE) between and .
Answer:
Here is the Matlab code.
Step-by-step explanation:
Matlab Code:
[tex]A = [1 2 2;3 4 5;6 7 8]\\[U,S,V] = svd(A)u1 = U(:,1)\\u2 = U(:,2)\\u3 = U(:,3)\\d1 = dot(u1,u2)\\c = cross(u1,u2)\\d2 = dot(c,u3)[/tex]
[tex]d1 =- 5.5511e-17\\c = -0.7172 0.6643 -0.2103\\d2 = 1[/tex]
Yes, since c = cross(u1,u2) is orthogonal to both u1 and u2. Hence is u3, thus the dot product with u3 is 1.
Please help me!! I will try to give brainliest
Solve the equation. Check your Solution.
-3 1/3 ÷ -1/2
Answer:
1.6 or 1.67
Step-by-step explanation:
Jonathan heard a news report that eating a gluten-free diet makes a person more likely to have a positive outlook on life. This sounded appealing, but he felt he should investigate the claim before drastically changing his diet. Jonathan asked 128128128 people at his school whether they eat gluten-free and then determined whether they are positive or negative people. Jonathan found that there was no association between eating gluten-free and having a positive outlook. With this knowledge, fill in the missing joint frequencies below:
Gluten-free Non- Gluten-free Row Total
Positive ________ ______________ 64
Negative ________ ______________ 64
Column Total 12 116 128
Answer:
The answer is "6, 58, 6 and 58"
Step-by-step explanation:
Using formula:
[tex]Cell\ value = \frac{(row \ total) \times (column \ total)}{total}[/tex]
[tex]Gluten-free \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Not\ gluten \ free \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Row \ total[/tex]
[tex]Positive\ \ \ \ \ \ \ \ \ \ \ \frac{12\times 64}{128}=6 \ \ \ \ \ \ \ \ \ \ \ \ \frac{116\times 64}{128}=58 \ \ \ \ \ \ \ \ \ \ \ 64 \\\\Negative\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{12\times 64}{128}=6 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{116\times 64}{128}=58\ \ \ \ \ \ \ \ \ \ \ 64 \\\\Column\ Total \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 12\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 116\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 128[/tex]
Can anyone tell me the correct answer of this. I already have it but I wanna make sure. please
Answer:
x = 44.3°
Step-by-step explanation:
Redrawing the triangle,
To obtain x, we can apply the trigonometric relation :
Sin x = opposite / hypotenus
Opposite side = 6.5
Hypotenus = 9.3
Sin x = 6.5/9.3
x = sin^-1(6.5 / 9.3)
x = 44.34
x = 44.3°
What are the coordinates of the point that is of the way from A(-8, -9) to
B(24, -1)?
O A. (-6,4)
B. (12,-4)
C. (4,-6)
O D. (-2, 4)
Answer:
c
Step-by-step explanation:
.
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What are the 4 steps to solving an equation?
Answer:
Adding, Substracting, multiplication and division. If you add the same number to both sides of an equation, both sides will remain equal.
Step-by-step explanation:
A boat heading out to sea starts out at Point A, at a horizontal distance of 639 feet from a lighthouse/the shore. From that point, the boat's crew measures the angle of elevation to the lighthouse's beacon-light from that point to be 11 degrees . At some later time, the crew measures the angle of elevation from point B to be . Find the 3 degrees distance from point A to point B. Round your answer to the nearest foot if necessary .
9514 1404 393
Answer:
1731 ft
Step-by-step explanation:
The tangent relation is useful in this problem.
Tan = Opposite/Adjacent
The height of the light is found to be ...
tan(11°) = height/(639 ft)
height = (639 ft)·tan(11°) . . . . . solve for height
Then the distance from the light to point B is ...
tan(3°) = height/(B distance)
B distance = height/tan(3°) = (639 ft)·tan(11°)/tan(3°) ≈ 2370 ft
Then the distance from point A to point B is ...
2370 ft -639 ft = 1731 ft . . . AB distance
Tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance between points A and B is 1731 feet.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
As it is given that the distance between the lighthouse and point A is 639 feet, while the angle of elevation from that point is 11°. therefore, using the tan function, the height of the lighthouse,
[tex]\rm Tan(\theta) = \dfrac{Perpendicular}{Base}\\\\Tan(11^o) = \dfrac{CD}{CA}\\\\Tan(11^o) = \dfrac{CD}{639}\\\\Tan(11^o) \times 639 = CD\\\\[/tex]
As we know that CD is the height of the lighthouse, now
In Δ BCD
The tan function for the distance between the lighthouse and point B can be written as,
[tex]\rm Tan(\theta) = \dfrac{Perpendicular}{Base}\\\\Tan(3^o) = \dfrac{CD}{CA}\\\\Tan(3^o) = \dfrac{Tan(11^o) \times 639}{CA}\\\\CA = 2370\ ft.[/tex]
Hence, the distance between the lighthouse and Point B is 2370 ft.
Now, we know the distance between the lighthouse and Point A, and the distance between the lighthouse and Point B, therefore,
The Distance between Point A and B (AB) = CB - CA
= 2370 - 639
= 1731 ft.
Learn more about Tangent (Tanθ):
https://brainly.com/question/10623976
factorize: 4x²-3y-6x+2xy
Answer:
The answer is (2x+y)(2x-3)
Step-by-step explanation:
I learned this on ixl, its kind of hard to explain.
PLEASEEEEE IM BEGGING SOMEONE I NEEED HELPPPPPPPPPPP PLEASEEEEEEEEE
Answer:
6
Step-by-step explanation:
Graphically, this is a very easy question to cheat through. I'll show the easiest way to solve.
First, add the four squares that make up the square in the center of the quadrilateral. Now, notice that the two triangles left on the ends are exactly the same size. So if you put them together, the cover up two more squares. Which gives you 2 + 4 =6.
Or the mathematical way which is to find the area of the square as 2 * 2 = 4
and the area of one triangle as 1/2 * 2 * 1 = 1 ad the other triangle is the same. So add all three 4 + 1 + 1 = 6
Of all the students in a particular class, 20% have blue eyes. We want to run a
simulation to predict how many blue eye students will be chosen if we
randomly select 10 students. First, we need to assign digits to students that
have blue eyes and students that do not have blue eyes. If we were to use
single digits to represent both, which of the following would be a correct
method of assigning these digits?
Answer:A
Step-by-step explanation:
Please help find domain and range
========================================================
Explanation:
We want to avoid having a negative number under the square root. Solving [tex]x-4 \ge 0[/tex] leads to [tex]x \ge 4[/tex]
So it appears the domain could involve x = 4 itself; however, if we tried that x value, then we'd get a division by zero error.
So in reality, the domain is x > 4.
-------------
The range of y = sqrt(x) is the set of positive real numbers. So y > 0 is the range for this equation. Shifting left and right does not affect the range, so the range of y = sqrt(x-4) is also y > 0.
We are dividing a positive number (3) over some positive number in the denominator. Overall, the expression [tex]\frac{3}{\sqrt{x-4}}[/tex] is positive because positive/positive = positive.
Therefore, the range of the given equation is y > 0
-------------
The graph is shown below. We have a vertical asymptote at x = 4 and a horizontal asymptote at y = 0. The green curve is fenced in the upper right corner (northeast corner).
How could you put that is a mathematic form??
Use the square roots property to solve equation (6x-7)/2+4=21
Answer:
[tex]22\frac{1}{6}[/tex]
Step-by-step explanation:
2+4=6
21X6=126
126+7=133
133/6= 22R1