Answer: 51,200 litres per second
Step-by-step explanation:
Assume that the rate before the rain is denoted as x.
This would mean that 74,240 liters per second is an increase of 45% over the value of x.
In formula form therefore this is:
74,240 = x + (x * 45%)
74,240 = x + 0.45x
74,240 = 1.45x
x = 74,240 / 1.45
x = 51,200 litres per second
A juggler throws a ball from an initial height of 4 feet with an initial vertical velocity of 30 feet per second, the height of the ball can be modeled by h= -16t^2 +vt+s where t is the time in seconds the ball has been in the air, v is the initial vertical velocity, and s is the initial height. Write an equation that gives you the height of the feet of the ball as a function of time since it left the jugglers hand? Then calculate if the juggler misses the ball how many seconds does it take to hit the ground?
Answer:
1. h = -16t² + 30t + 4
2. 2 s
Step-by-step explanation:
1. Write an equation that gives you the height of the feet of the ball as a function of time since it left the jugglers hand?
Since the height moved by the ball, h is given by
h = -16t² + vt + s
Since v = initial vertical velocity = 30 ft/s and s = initial height = 4 ft, then
substituting the values of the variables into the equation for h, we have
h = -16t² + vt + s
h = -16t² + 30t + 4
2. Then calculate if the juggler misses the ball how many seconds does it take to hit the ground?
The ball hits the ground when h = 0
So, h = 0 ⇒
-16t² + 30t + 4 = 0
dividing through by -2, we have
8t² - 15t - 2 = 0
Factorizing, we have
8t² - 16t + t - 2 = 0
8t(t - 2) + (t - 2) = 0
(8t + 1)(t - 2) = 0
8t + 1 = 0 or t - 2 = 0
8t = -1 or t = 2
t = -1/8 or t = 2
Since t cannot be negative, t = 2 s
So, the ball hits the ground after 2 s.
Oliver's family took a 4-hour-and-30-minute trip on a train. They left at 7:30 a.m.
What time did Oliver's family arrive?
Answer:
12pm
Step-by-step explanation:
7:30am + 4 hours and 30 minutes = 12 pm
Answer:
Well, assuming that they just drove for four and half hours straight, without the train stopping for any reason, they would arrive at 12:00pm
7 + 4 = 11
30 + 30 = 60, and since that 60 is an hour then...
11 + 1 = 12
Hope this helps(:
GIVING BRAINLIEST!!!PLS HELP :((
The first rule is subtract 5 starting from 30. The second rule is add 8 starting from 0. What is the fourth ordered pair using the terms in each sequence?
(16, 20)
(8, 25)
(15, 24)
(32, 10)
Answer:
D (32, 10)
Step-by-step explanation:
30 - 5 - 5 - 5 - 5 = 10
0 + 8 + 8 + 8 + 8 = 32
what is the length, in feet, of the hypotenuse of a right triangle with legs that are 6 feet long and 7 feet long, respectively
Answer:
9.22 feet
Step-by-step explanation:
To find the sides of a right triangle, we use the Pythagorean Theorem:
a² + b² = c²
a and b are each one side. c is the hypotenuse.
Let's plug in what we know.
a² + b² = c²
(6)² + (7)² = c²
Evaluate the exponents.
36 + 49 = c²
Add.
85 = c²
Take the square root of both sides.
√85 = √c²
√85 = c
9.22 = c
The hypotenuse is about 9.22 feet long.
Hope this helps!
4. What is the value of x in the equation 512x3 = 8?
A 3/4
B 3 1/4
C 4
D 1/4
Answer1/4 hope this help
Step-by-step explanation:
A ladder is leaning against a building. Find the height at which the ladder is touching the building
Answer:
13.9 ft
Step-by-step explanation:
Since the triangle is a right triangle we can use pythagoreom theorm.
16^2=8^2+a^2 (a is the unknown side)
256= 64+a^2
192= a^2
Square root both sides and you get around 13.9 ft
will give brainlyist if quick Which of the following represents the graph of the equation y = 2x - 3?
Answer:
Graph B
Step-by-step explanation:
Slope: 2/1
Y-Intercept: -3
In the diagram below of triangle GHIGHI, JJ is the midpoint of \overline{GI} GI and KK is the midpoint of \overline{HI} HI . If JK=-21+9xJK=−21+9x, and GH=-2x+18GH=−2x+18, what is the measure of \overline{GH} GH ? G H
Answer:
25.5
Step-by-step explanation:
2( -21+9x)=2x+18
-42+18x=2x+18
+42 +42
18x=2x+60
-2x -2x
16x=60
60/16=3.75
x=3.75
GH=2x+18
2(3.75)+18
7.5+18=25.5
GH=25.5
What is (−2) ( 3 4/7)?
Answer:
-50/7
Step-by-step explanation:
I dont know what u want me to do but this is what happens when u evaluate it
Anybody know geometry?
hi as a person who is taking geometry, i think i can help
Answer:
7x-3=5x+1 ->x=2
Step-by-step explanation:
to find the x, you would put both equations together like how it is shown above, then try and get x to one side
7x-3=5x+1
+3 +3
7x=5x+4
-5x -5x
2x=4
/2 /2
x=2
Margaret and Bethany have a lemonade stand for one week each summer.
Each day they spend $1.50 on the ingredients necessary to make 20 cups
of lemonade. They sell each cup of lemonade for $0.25. How much do the
girls, after expenses, earn on a day that they sell 18 cups of lemonade? *
$6.00
$4.50
$3.50
$3.00
Answer:
6.00
Step-by-step explanation:
Help please?
.........................
After takeoff, a plane flies in a straight line for a distance of 4000 feet in order to gain an altitude of 800 feet. Find the angle of elevation from the ground to the plane.
Need help please, thank you!
Answer:
The angle of elevation from the ground to the plane is 11.5 degrees
Step-by-step explanation:
Given -
Horizontal distance from the point of takeoff to which the plane flies in a straight line = 4000 feet
The vertical distance travelled from the ground to the plane is 800 feet
Angle of Elevation
[tex]Sin X= \frac{800}{4000} \\X = Sin^{-1}\frac{800}{4000}\\X = 11.5[/tex]
The angle of elevation from the ground to the plane is 11.5 degrees
If you earn $40,000/yr, how much an hour do you earn if the total hours in a work year is 2080?
Answer:
Based on a standard work week of 40 hours, a full-time employee works 2,080 hours per year (40 hours a week x 52 weeks a year). So if an employee earns $40,000 annually working 40 hours a week, they make about $19.23
pls help this needs to be answered by today.
Connor makes 3 batches of muffins . Each batch has 12 muffins . Connor eats 2 muffins . What is m, the number of muffins Connor has left
A 16 oz package of brown rice costs 79 cents and a 32 oz package of
brown rice costs $2.09. Which package is a better deal?
I have to get this done by tonight please help me!!
Answer:
The 16oz is a better deal
Step-by-step explanation:
32 = 2 * 16
buying 2 packages of 16 oz cost
0.79 * 2 = 1.58
1.58 < 2.09
The 16oz is a better deal
Answer:
The 16 oz package.
Step-by-step explanation:
Make the 16 oz a 32 oz so we can compare the prices
Mutiply 0.79 X 2 = 1.58
The 16 oz is because you can buy it twice making it a 32 oz for less than the orginal 32 oz.
(Compared side by side)
2.09 > 1.58
hope this helped!
How many milliliters equal to 8.25 liters 
Answer: 8,500
Step-by-step explanation:
Answer:
8250 mL
Step-by-step explanation:
Multiply the volume value by 1000
Lesson 6 Homework Practice Select an Appropriate Display
what is the probability of picking an orange marble and flipping tails?
Answer:
1/7
Step-by-step explanation:
Answer:
The probability of flipping tails is 1/2
Kyle is practicing for a 3 mile race. His normal time is 23 minutes and 26 seconds. Yesterday it took him 21 minutes and 38 seconds. How much faster was Kyle's time yesterday than his normal time?
Kyle's yesterday's time was 108 seconds, or 1 minute and 48 seconds, faster than his normal time.
How much faster was Kyle's time yesterday than his normal time?To find the difference in time between Kyle's normal time and yesterday's time, we need to subtract his normal time from yesterday's time:
(21 minutes 38seconds)−(23 minutes 26 seconds)
(21 minutes 38 seconds)−(23 minutes 26 seconds)
We can first convert both times to seconds to make the subtraction easier:
=(21×60+38)seconds
−(23×60+26)seconds
=(21×60+38) seconds−(23×60+26) seconds
=(1298 seconds)−(1406 seconds)
=(1298 seconds)−(1406 seconds)
=−108 seconds
=−108 seconds
The result is negative because Kyle's yesterday's time is faster than his normal time. To find the positive difference, we can multiply by -1:
∣−108∣ =108seconds
∣−108∣= 108 seconds
Therefore, Kyle's yesterday's time was 108 seconds, or 1 minute and 48 seconds, faster than his normal time.
Learn more about linear equations here:
brainly.com/question/11897796
#SPJ1
Find the volume of the solid. Round your answer to the nearest tenth.
Answer:
31.71 mm
Step-by-step explanation:
#1: Find V of cube
(L)(W)(H) = V
(3)(3)(3) = V
27= V
#2: Find V of the half sphere.
3 (diameter) × π = 9.42 (rounded)
9.42/2 (since 9.42 is the volume for a whole sphere)
=4.71
#3: 4.71+27= 31.71
:)
Please help FIND DB.....
repost!!!!!!!!!!!!! because too many people were spamming me with stu.pid answers
Answer:
the suface area is 9 for the one on the right and for the left 106821
Step-by-step explanation:
Geometry questionnn!
Answer:
88 units
Step-by-step explanation:
[tex] In\: \triangle OBR \:\&\: \triangle OWN[/tex]
BR || WN (Given)
Therefore,
[tex] \angle OBR \cong \angle OWN[/tex] (Alternate angles)
[tex] \angle BOR \cong \angle WON[/tex] (Vertical angles)
[tex] \therefore \triangle OBR \sim \triangle OWN[/tex] (AA postulate)
[tex] \therefore \frac{OR}{ON} =\frac{BR}{WN} [/tex] (csst)
[tex] \therefore \frac{OR}{56} =\frac{24}{42} [/tex]
[tex] \therefore \frac{OR}{56} =\frac{4}{7} [/tex]
[tex] \therefore OR =\frac{4\times 56}{7} [/tex]
[tex] \therefore OR ={4\times 8} [/tex]
[tex] \therefore OR =32 [/tex]
RN = OR + ON
RN = 32 + 56
RN = 88 units
Which line is parallel to the line y= x + 7 ?
Answer: y=x+
Step-by-step explanation:
In order for two lines to be paralell, their slopes must be the same but their y intercepts must be different. Therefore, any line that looks like y=x+ (anything but 7) will be paralell.
Andre is preparing for the school play. He needs to paint a cardboard box to look like a dresser. The box is a rectangular prism that measures 5 feet tall, 4 feet long, and 2.5 feet wide. Andre does not need to paint the bottom of the box. 1. How much cardboard does Andre need to paint?
Answer:
Step-by-step explanation:
75 is right
are 3ab and -8ba like terms?
true or false
Answer:
True
hope this helps
have a good day :)
Step-by-step explanation:
A manufacturer makes decorative globes out of silver in the shape of a solid sphere. Suppose each sphere has a radius of 3 cm. If silver is priced at $7.00 per cm", how much will the silver cost to make one solid sphere?
Use 3.14 for , and do not round your answer.
Answer: [tex]\$791.28[/tex]
Step-by-step explanation:
Given
The radius of the sphere is 3 cm
Silver cost [tex]\$7[/tex] per [tex]cm^3[/tex]
The volume of a sphere is [tex]\frac{4\pi}{3}r^3[/tex]
Put the values
[tex]\Rightarrow \dfrac{4\pi}{3}\times 3^3\\\\\Rightarrow \dfrac{4\times 3.14}{3}\times 3\times 3^2\\\\\Rightarrow 113.04\ cm^3[/tex]
The price of this sphere is
[tex]\Rightarrow 113.04\times 7=\$791.28[/tex]
URGENT!!!!!!
Dan's car depreciates at a rate of 17% per year.
By what percentage has Dan's car depreciated after 4 years?
Give your answer to the nearest percent.
Answer:
an=yearn−year−0.17n+0.34
Step-by-step explanation:
Answer:
68%
Step-by-step explanation:
17% × 4
68%