Answer:
20
Step-by-step explanation:
5 divided by 100 = 20
Answer:
20 miles per hour (20 mi/h)
Step-by-step explanation:
100 miles/5 hours = 20 miles/ 1 hour
(simplify the proportion)
Consider the following formula s=d/t, with
s being the speed, d as the distance, and t as the time.
this is because miles per hour is a measurement of speed.
In this case, 100 miles is the distance. 5 hours is the time, and we are solving for s.
s = 100/5, s = 20/1, s = 20 which is 20. So the rate or the speed is 20 miles per hour.
Anything multiplied or divided by 1 will remain the same.
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]
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:
what is 5 11/24-0.375+
61/12 = 5.083 is the answer.
Rylan is hiking in Death valley. He starts at an elevation of 250 feet above sea level and hikes to an 2300 above sea level. How much did his altitude change?
Answer:
250+2300=2350
Write the equation of the parabola in vertex form.
vertex (3,3), point (1, -9)
f(x) =
Can someone help me ASAP??
Answer: -9 = a(1 - 3)² + 3
Step-by-step explanation:
Vertex Form Equation:
y = a(x - h)² + k
vertex: (h, k) which means
h = 3
k = 3
because your vertex is (3, 3).
Your point is (1, -9) which is (x, y).
This means
x = 1
y = -9
Now, plug everything into your Vertex Form Equation:
-9 = a(1 - 3)² + 3
That’s your equation and final answer, but of course, if you need to, you can solve for a if you need to.
If a is positive, the parabola opens up. If a is negative, the parabola opens down.
Hope this helps!
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:
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
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)
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.
solve this multi-step equation 6-x-x=18
Answer: -6
Step-by-step explanation:
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)}
Evaluate 5p - 9q for p = 8 and q = 7.
Plzzz helppp
Answer:
-23
Step-by-step explanation:
Substitute the value of the variable into the expression and simplify.
which of the following expressions represents the product of a number and 8
Answer:
The answer is c. 8x
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
3x2 + x + 3 = 0
Solutions
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
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)
The Quadratic Formula indicates whether the graph intersects the ____ and where the ____
if present.
Answer:
x- axis. co-ordinate
Step-by-step explanation:
PLEASE HELP!
The area of a large rectangular field is 12, 750 square yards. The with is 150 ft.
a. find the length of the field in yards.
b. what is the length of the field in feet?
c. what is the area of the field in square feet?
Answer:
Area of rectangular field = 12750 square yards
Width = 150 feet
<< Find the length of the field in yards. >>
Your conversion factor: 3 feet = 1 yard
Width = 150 feet = 150/3 = 50 yards
Therefore,
Area = 12750 = L(50)
where
L = length of field = 12750/50
L = 255 yards
<< What is the length of the field in feet? >>
L = 255 yards * 3 feet/yard
L = 765 feet
< .What is the area of the field in square feet? >>
Since there are 3 feet in 1 yard, then there are 9 sq ft in 1 sq yard. Therefore,12750 sq yards * 9 sq feet/sq yd = 114,750 sq feet
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
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
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:
Why can’t i be normal and understand math chileee
HELP!!!
Find the exact solution of x. 3x2 + 7 = 28
Answer:
2.65 I think I am not sure but the solution
Step-by-step explanation:
3x² = 28 - 7
3x² = 21
x² = 7
x = 2.65
Answer:
x = ± [tex]\sqrt{7}[/tex]
Step-by-step explanation:
Given
3x² + 7 = 28 ( subtract 7 from both sides )
3x² = 21 ( divide both sides by 3 )
x² = 7 ( take the square root of both sides )
x = ± [tex]\sqrt{7}[/tex]
The closest distance towards Venus to the Sun is about 46,000,000 kilometers.The closest distance from Neptune to the Sun is about 4.5 x 10^9 kilometers. About how many times closer to the Sun is Venus than Neptune? Write your answer in standard notation
Answer:
Neptune is 45 million so 1 million difference
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
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!
$180 car 15% discount
Answer:
$153
Step-by-step explanation:
180 * 0.85 = 153
I need help on this because how do u count it without a ruler
What is the circumference of the following circles? r=5 what is the units? _____Units
Answer:10pi
Step-by-step explanation:
2pi(r)