how many solutions are there to x > 3 and what are they?
Answer:
two solutions
Step-by-step explanation:
x = 3 and -1
A diver is standing on a platform 25 feet above the pool. He jumps from the platform at an initial velocity of 10 ft/s. Use the formula h(t)=-16t^2+vt+s where his height above the water at time t seconds, v is the starting upward velocity, and s is his starting point to write an equation to model the dive
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.
Do this for a brain thingy!!!!
1087^{2}-12(3)=
Answer:
1181533
Step-by-step explanation:
It's called brainliest.
You can use Math way for that btw.
Answer:
simplifying the expression
Step-by-step explanation:
1181533
Someone please help me with this
Your distance from lightning varies directly with the time it takes you to hear thunder. If you hear thunder 10
seconds after you see the lightning, you are about 2 miles from the lightning.
a. Write a direct variation equation for the relationship between time and distance.
b. Estimate how many seconds it would take for the thunder to travel a distance of 4 miles.
Answer:
[tex]a.\ D=\dfrac{1}{5}t[/tex]
b. 20 seconds
Step-by-step explanation:
Let [tex]D[/tex] be the distance in miles and
[tex]t[/tex] be the time in seconds and
[tex]s[/tex] be the speed in miles/sec
Formula for Distance is given as:
[tex]Distance = Speed \times Time\\OR\\D=st[/tex]
Given that:
Distance = 2 miles and
Time = 10 seconds
Putting the values in formula:
[tex]2=s\times 10\\\Rightarrow s =\dfrac{1}{5} \ miles/sec[/tex]
Answer a:
Putting the value of [tex]s[/tex] back in the formula to find the direct variation equation for the relationship between time and distance:
[tex]D=\dfrac{1}{5}t[/tex]
Answer b:
Using the above formula and putting [tex]D=4\ miles[/tex]:
[tex]4=\dfrac{1}{5}t\\\Rightarrow t =\bold{20\ seconds}[/tex]
It is estimated % of all adults in United States invest in stocks and that % of U.S. adults have investments in fixed income instruments (savings accounts, bonds, etc.). It is also estimated that % of U.S. adults have investments in both stocks and fixed income instruments. (a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places. (b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?
Complete question :
It is estimated 28% of all adults in United States invest in stocks and that 85% of U.S. adults have investments in fixed income instruments (savings accounts, bonds, etc.). It is also estimated that 26% of U.S. adults have investments in both stocks and fixed income instruments. (a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places. (b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?
Answer:
0.929 ; 0.306
Step-by-step explanation:
Using the information:
P(stock) = P(s) = 28% = 0.28
P(fixed income) = P(f) = 0.85
P(stock and fixed income) = p(SnF) = 26%
a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places.
P(F|S) = p(FnS) / p(s)
= 0.26 / 0.28
= 0.9285
= 0.929
(b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?
P(s|f) = p(SnF) / p(f)
P(S|F) = 0.26 / 0.85 = 0.3058823
P(S¦F) = 0.306 (to 3 decimal places)
Which equation has solution x = -3?
A) 2x - 7 = -1
B) 3x + 8 = 1
C) 1/2x+8=10
D) 1/2(2x-6)=-6
Answer:
D) 1/2(2x-6)=-6 = x = -3
Step-by-step explanation:
A. x = 3
B. x = 7/3
C. x = 4
D. x = -3
Solve for x:
(2 x - 6)/2 = -6
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (2 x - 6)/2 = -6 by 2:
(2 (2 x - 6))/2 = -6×2
Hint: | Cancel common terms in the numerator and denominator of (2 (2 x - 6))/2.
(2 (2 x - 6))/2 = 2/2×(2 x - 6) = 2 x - 6:
2 x - 6 = -6×2
Hint: | Multiply 2 and -6 together.
2 (-6) = -12:
2 x - 6 = -12
Hint: | Isolate terms with x to the left hand side.
Add 6 to both sides:
2 x + (6 - 6) = 6 - 12
Hint: | Look for the difference of two identical terms.
6 - 6 = 0:
2 x = 6 - 12
Hint: | Evaluate 6 - 12.
6 - 12 = -6:
2 x = -6
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 2 x = -6 by 2:
(2 x)/2 = (-6)/2
Hint: | Any nonzero number divided by itself is one.
2/2 = 1:
x = (-6)/2
Hint: | Reduce (-6)/2 to lowest terms. Start by finding the GCD of -6 and 2.
The gcd of -6 and 2 is 2, so (-6)/2 = (2 (-3))/(2×1) = 2/2×-3 = -3:
Answer: x = -3
The Quadratic Formula indicates whether the graph intersects the ____ and where the ____
if present.
Answer:
x- axis. co-ordinate
Step-by-step explanation:
its like a word question?
The product of negative three and a number is equal to the sum of the number and four.
Answer:
-3+x=x+4
Step-by-step explanation:
Pls Mark Brainliest
Answer:
x = -1
Step-by-step explanation:
-3×x = 4+x
-3x-x = 4
-4x = 4
x = 4 ÷ -4
x = -1
3x2 + x + 3 = 0
Solutions
Combine Like Terms.
- x - y - 2y
Answer: -x -3y
Step-by-step explanation:
Answer:
−x − 3 y
Step-by-step explanation:
Subtract 2 y from − y
Which statement is true about the ordered pair (3 , 4)?
Answer:
Move three units left on the x axis and 4 units up on the y axis from the origin
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
That is because ordered pairs are written as (x,y) and for the ordered pair (3,4), 3 is x and 4 is y. The x-axis is the horizontal (left and right) line, the y-axis is the vertical line (up and down). The numbers are positive, so you go 3 units right and 4 units up.
It takes Dariya 35 seconds to download 5 songs from the Internet. How can the number of seconds it would take Dariya to download 7 songs at this rate be determined?
By dividing 35 by 7.
By multiplying 35 by 7.
By finding the unit rate and dividing it by 7.
By finding the unit rate and multiplying it by 7.
Answer:
D.By finding the unit rate and multiplying it by 7.
Step-by-step explanation:
Answer:
D) trust me i know
Step-by-step explanation:
on the test it say its correct. vote and help other people!
What is the median for the bar graph below?
2
2.5
6
3
Answer:
3
Step-by-step explanation:
The Median is the middle number. So, if there are 6 numbers, the middle or half of 6 is 3; therefore, your answer is 3
what is 5 11/24-0.375+
61/12 = 5.083 is the answer.
Why can’t i be normal and understand math chileee
Write an equation for a circle given that the endpoints of the diameter are
(-8,5) and (4,-3)
Answer: (2,2)
so Using the distance formula,
d = sqrt(x2-x1)^2 +(y2-y1)^2 .
Substituting the values of x and y.
we get,
d = sqrt(-4-8)^2 +(-3-7)^2
d = 2 sqrt 61
diameter = 2*radius
= 2 sqrt 61
= 2 r
= r
= sqrt 61
r^2 = 61
midpoint of the diameter is:
Xm= 8-4 / 2
= 2
Ym = 7-3 / 2
= 2
Hence,
The center is (2,2)
super confused, appreciate it if someone could help lol
Answer: the 1 2 and 3
Step-by-step explanation:
Answer:
bruv edginuity sucks haha
Step-by-step explanation:
Can someone help ???
Answer:
B) 5/4
Step-by-step explanation:
when u multiply
100 x 5/4 you get 125
Answer:
5/4
Step-by-step explanation:
the answer is 5/4
100*5=500
500/4=125
What is the circumference of the following circles? r=5 what is the units? _____Units
Answer:10pi
Step-by-step explanation:
2pi(r)
Which set of ordered pairs does not represent a function?
{(7,4),(-4,1),(4, -3), (-7,7)}
{(-8, -7), (4,-2), (2,9),(-8,8)}
{(-9, -2), (8, -2), (2, -5), (-8,4)}
{(-7,5), (7,9),(-3,5),(3,3)}
Answer:
{(-8, -7), (4,-2), (2,9),(-8,8)}
Choose all the numbers that are common multiples of 8 and 3.
3
12
24
38
48
72
Answer:
24, 48, and 72 are all multiples of 8
3, 12, and 24 are multiples of 3
Step-by-step explanation:
Jose paid 45.00$ for 5 movie tickets . EACH ticket cost the same amount . What was the cost of each movie ticket in dollars ?
Answer:
$9
Step-by-step explanation:
divide 45 and 5, you get 9
Answer:
45.00$ divided by 5.00$ is 9.00$
i hoped this helped!
Step-by-step explanation:
S =4LW + 2WH; S = 96, L= 7, W= 3.
H=
Help please
Answer:
H = 2
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Define
S = 4LW + 2WH
S = 96
L = 7
W = 3
Step 2: Substitute and Evaluate for H
96 = 4(7)(3) + 2(3)H
96 = 84 + 6H
12 = 6H
H = 2
Answer:
H = = 2 H W + 4 L W
Step-by-step explanation:
Substitute the given value into the function and evaluate.
S = 4 L W + 2 W H = = 2 H W + 4 L W
S = 96 = = 2 H W + 4 L W
L = 7 = = 2 H W + 4 L W
W = 3 = = 2 H W + 4 L W
H = = 2 H W + 4 L W
I hope this helps!
Please Mark Brainliest
Sorry If I Overcomplicated it!
I need help on this because how do u count it without a ruler
which of the following expressions represents the product of a number and 8
Answer:
The answer is c. 8x
$180 car 15% discount
Answer:
$153
Step-by-step explanation:
180 * 0.85 = 153
solve this multi-step equation 6-x-x=18
Answer: -6
Step-by-step explanation:
PLEASE HELP!!!
Which of the following expressions is the prime factorization of 360?
A. 2 2 • 3 2 • 5
B. 2 4 • 3 • 5
C. 2 3 • 5 • 9
D. 2 3 • 3 2 • 5
Answer:
D. 2 3 • 3 2 • 5
Step-by-step explanation:
ig I need at least 20 characters to submit my answer. :)
Answer:
its d.
Step-by-step explanation:
Verify the following: 3
−21 × −4 + −6 = −21 × −4 + (−21) × (−6)
Answer:
the answer is -14 how about
study math next time
Answer:
Incorrect
Step-by-step explanation:
Use PEMDAS
Solve one side of the equation first
-21 × -4 + - 6
negative × negative = positive
84 + - 6
positive + negative = negative
84 - 6
78
Now solve the other side of the equation
-21 × -4 + (-21) × (-6)
negative × negative = positive
-21 × -4 + (126)
negative × negative = positive
84 + 126
210
Does 78 = 210?
No, so we can assume this equation is incorrect
HELLLLLLLP .....................
Answer:
B. No, because one x-value corresponds to two different y-values.
Step-by-step explanation:
Answer:
I believe It's B
Step-by-step explanation: