a watermelon is thrown down from the 7th floor of urey hall at ucsd. if the initial height of the watermelon is 21.0 meters, and it is thrown straight downward with an initial downward velocity of 3.00 m/s. how far will the watermelon have fallen from its starting height after 1.50 seconds?
Answer:
The watermelon has fallen 15.53625m
Step-by-step explanation:
x=vi*t+.5*a*t^2
x=3*1.5+.5*9.81*1.5^2
x=15.53625m
The perimeter of a rectangular window is 264 cm. If the width of the window is 56 cm what is its length. *
Answer:
76 cm.
Step-by-step explanation:
56 times 2 is 112
264-112=152, divide by 2
152/2=76
Answer:
76 cm
Step-by-step explanation:
Perimeter is the sum of all sides of a rectangle. It can also be thought of as 2 times the width plus 2 times the width.
[tex]P=2L+2w[/tex]
Rearranging to solve for length:
[tex]2L=P-2w[/tex]
[tex]L=\frac{P-2w}{2}=\frac{264-2(56)}{2}=\frac{152}{2}=76[/tex]
The length is 76 cm.
20 days to 2 weeks ratio
Answer:
20:14 = 10:7
Step-by-step explanation:
A week is equal to 7 days
2 weeks is equal to 2*7 = 14 days
Answer:
20 : 14
Step-by-step explanation:
Since there are 20 days, convert 2 weeks into days, (7 x 2), and you get 14.
PLEASEE HELP WILL MARK YOU BRAINLIEST
?
11.9 cm
9.1 cm
-oblem
Two side lengths of a triangle are shown above. What could be the measurement of the missing side length? (choose 2)
A 20.3 cm
B22.4 cm
C 2.6 cm
D14.6 cm
E 25 cm
Answer:
14.98cm
Step-by-step explanation:
Just using the pythagorean theroem
PLEASE HELP
The owner of a lemonade stand mixes juice that costs 2 dollars per gallon with juice
that costs 7 dollars per gallon. She gets 20 gallons of punch that costs 4 dollars per
gallon. How much of each juice does she use?
;#+#+£-;#;#;_£ajqjjqw
Step-by-step explanation:
2
The total height of the Statue of Liberty and its pedestal is 153 feet more than the height of the statue. What is the height of the statue?
Answer: 150 + 3 = 150
Step-by-step explanation: The statue of liberty is approximately 150 feet tall from the base to the tip of the torch. A scale model is built that is 3 feet tall.
helpp!!! plz!!!!!!!!!!!
4. Elias was asked to solve a quadratic equation by factoring and his work is shown below. Circle the letter of the step where he has made an error. Then redo the work correctly from that point, using the shaded space. 4 points possible Given x2 – 12x = -20
Аx2 - 12x + 20 = 0
B(x - 4)(x – 5) = 0
С x-4 = 0 OR x-4 = 0
D x = 4 or x = 5
Answer:
(B) (x - 4)(x – 5) = 0Step-by-step explanation:
He made a mistake at step 2.
(x - 4)(x - 5) = 0 is incorrect asit is same as x² - 9x + 20 = 0
It should be:
(x - 10)(x - 2) = 0 with the end result x = 10 or x = 2Let's solve
[tex]\\ \sf\longmapsto x^2-12x=-20[/tex]
[tex]\\ \sf\longmapsto x^2-12x+20=0[/tex]
[tex]\\ \sf\longmapsto x^2-10x-2x+20=0[/tex]
[tex]\\ \sf\longmapsto x(x-10)-2(x-20)=0[/tex]
[tex]\\ \sf\longmapsto (x-10)(x-2)=0[/tex]
[tex]\\ \sf\longmapsto x=10\:or x=2[/tex]
Option B
when 4a - a x 3a + 7a is simplified it is equivalent to?
Answer: -3a^2 + 11a
Step-by-step explanation:
4a - (a x 3a) + 7a - Multiply first to get 4a - 3a^2 + 7a
4a - 3a^2 + 7a - Add like terms (a terms) to get -3a^2 + 11a
So the answer in -3a^2 + 11a
30) x/4 = 9
31) a/5 = 7
32) n/3 = 29
33) n/3 = 10
34) y/5 = 24
35) b/9 = 15
36) n/7 = 17
37) x/3 = 8
38) y/5 = 33
39) e/36 = 5
40) a/25 = 4
41) b/16 = 7
Answer:
30). x=36
(31). a=35
32. n=104
33. n=30
34. y=120
35. b=135
Step-by-step explanation:
x/4=9
cross multiply
x=4×9
x=36
a/5=7
cross multiply
x=5×7
x=35
(repeat thesame steps over and over)
Leonard owns a business earning $37,800 in profits. These profits are appreciating at about 2.3% each year. What are Leonard's profits after eight years? (2 points)
$38,383.50
$45,341.60
$31,379.67
$44,755.20
Answer:
B. $45341.60Step-by-step explanation:
Given:
Initial profit = $37800Rate of appreciation = 2.3% per yearThe equation for this:
[tex]P(t) = 37800*(1 + 0.023)^t = 37800*1.023^t[/tex]Find the value of P(8):
[tex]P(8) = 37800*1.023^8 = 45341.60[/tex]Correct choice is B
Name two pairs of congruent angles
Answer:
∠JKL and ∠GKH
Step-by-step explanation:
1. Because these intersecting lines are forming opposite pairs of angles, there are some vertical angles. Vertical angles are congruent.
2. As you can see, ∠JKL is 55°. The angle that forms the pair of opposite angles with ∠JKL is ∠GKH.
3. As aforementioned, because these two angles are vertical angles, they're congruent.
Therefore, two pairs of congruent angles are ∠JKL and ∠GKH.
Heathers rabbit has a mass of 5.190 kilograms. Jeff's rabbit has a mass of 5.195 kilograms.Write and inequality statement comparing the masses of the rabbits
Answer:
5.190 < 5.195
Step-by-step explanation:
5.195 is bigger than 5.190, so 5.195>5.190
3(18-7)+2 using the order of operations
Answer:
35
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
Order of Operations = PEMDAS
IN ORDER:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Problem: 3(18-7)+2
Step 1: 3X18=54 3X-7= -21
Step 2: 54-21+2
T/7=3 what’s the answer?
Answer:
t=7x3
t=21
Step-by-step explanation:
hope this helps you!!!
Answer:
21
Step-by-step explanation: T/7= 3 so t= 7×3= 21
21÷7=3
Noreen can walk 1/3 of a mile in 12 minutes what is her average speed in miles per hour. (this is multiple choice)
A. 36 miles per hour
B. 12 miles per hour
C. 1/4 a mile per hour
D. 1 2/3 miles and hour
Step-by-step explanation:
1/3 mile in 12 minutes (=1/5 of an hour).
so, the speed (ratio of distance/time) is
1/3 mile / 12 minutes
the speed in mph is the converted ratio, where the denominator (bottom) is turned into 1 (hour).
what do I need to multiply 12 minutes with to get 1 hour ?
the same to multiply 1/5 with to get 1 : 5
to keep the overall value of the ratio the same I need to multiply both parts (top and bottom) of the fraction with the same value.
therefore,
1/3 / 12 × 5/5 = (1/3 × 5) / (12×5) = 5/3 / 60
so, the speed in mph is
5/3 miles / 60 minutes = 5/3 miles / 1 hour = 5/3 mph = 1 2/3 mph
D is the right answer.
SOMEONE HELPPP PLZ!!!
please someone helpppppp im giving brainliest!
Answer:
A
Step-by-step explanation:
The order of operations, or PEMDAS, is used like so:
Parentheses
Exponents
Multiply
Divide
Add
Subtract
exponents are the second step of the order of operations
Answer:
The 2nd step i think I'm not totally sure.
Step-by-step explanation:
A rectangular farm has an area of 5/8 square miles. If its length is 1/9 miles, what is its width?
45/8 or 5 5/8
5/8 divided by 1/9 - 5/8 x 9/1
Helppp please I will mark brainiest
Answer:
number 1
Step-by-step explanation:
read the qeustion again
I need theses answer quick please! (will mark brainliest)
determine whether each pair of ratios are equivalent ratios.
1. 8/9, 72/81
2. 3/14, 21/98
3. 12/17, 50/85
Answer:
1. Equivalent
2. Equivalent
3. Not equivalent
Step-by-step explanation:
So basically for all of them you need to find a multiple for the numerator of the first fraction to see if it equals the numerator of the second fraction, and same goes for denominator.
For the first one, 8*9 is 72, and you must multiply the denominator with the same number you multiplied the numerator with, so 9*9 is 81, so it is equivalent.
I need an explanation on how to do this one
ok!
to find mean, add all of the numbers, and divide that by how many numbers you have.
for example:
number 7 on your paper (8,9,10,15,28)
add those numbers together to get: 70
then divide 70 by 5 (since that's how many numbers there are in the problem) to get: 14
to get median write out all the numbers from least to greatest like you've done and find the middle number by marking off a number from the side each time then you will get: 10
to find mode you just write the number that appears the most. since there are no repeating numbers in your problem, theres no mode.
to find range you subtract the smallest number from the largest number in the problem.
so in your case, it would be 28-8
your range would be: 20
HELP PLSSSSSSSSSSSSS
Name two obtuse angles
Answer:
more than 90° or less than 180°
The value of c varies directly with y, and when x=1/3, y=5
Write an equation to represent the direct variation
Find the value of y if x=-2
PLS HELP
Answer:
-3/10
Step-by-step explanation:
y = k/x
5 = 3k
k = 3/5
y = 3/5x
y = 3/5(-2)
= 3/-10
= [tex]-\frac{3}{10}[/tex]
Feel free to mark this as brainliest! :D
Find the missing dimension of the prism. Volume = 532 in. 3 19 in
The required width of the rectangular prism is 16in.
What is a rectangular prism?
A rectangular prism is a three dimensional shape , that has six faces. The shape of a rectangular prism is just a cuboid shape.
Use the formula of volume of a cuboid since a rectangular prism is in the shape of a cuboid. The volume of a cuboid is V= length×breadth×height.
Given that, The volume of prism V=[tex]532 in^{3}[/tex]
The length of prism , L= 19in.
The height of prism [tex]H=1\frac{3}{4}=\frac{7}{4}[/tex].
The width, W=?
The rectangular prism has volume V=Length×Height×Width.
Therefore, 532=19×(7/4)×W
So, 532×4=19×7×W
Thus, (532×4)/(19×7)=W
Therefore, W=16in.
Thus, the width of the rectangular prism is 16in.
To learn more about volume click here:
https://brainly.com/question/25038935
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\frac{5+p}{9}<-1
Can someone help me find how to solve this?
Answer:
Step-by-step explanation:
[tex]\frac{5+p}{9} <-1\\5+p<-9\\p<-9-5\\p<-14[/tex]
Nine less than four times a number is the same as nineteen
Answer:
x= 7, the number is 7
Step-by-step explanation:
4x-9= 19
Add 9 to both sides4x=28
Divide each side by 4x=7
Answer:
4x - 9 = 19
Step-by-step explanation:
We can represent 4 times any numbers as 4x.
Then they want 9 less than 4x. This means that they want 4x but 9 units shorter. So to make 4x 9 units shorter, you would take away 9 from 4x which is represented as 4x - 9. A common mistake is writing this as 9 - 4x.
They also want 4x - 9 to be the same, or equal to, 19. So to equate both expression, you would add the equals sign between both expressions.
write the following ratios in the simplest form
80cm to 2m
76 cents to 3 dollars
2h to 45 min
Answer:
1. 1600
Step-by-step explanation:
1 80*20 =1600
2. 76