Given data
height (h) = 25 m ,
velocity (v) = ?
we know that,
v²-u² = 2as
initial velocity (u) = 0,
a = g = 9.8 m/s ,
Now the equation becomes,
v² = 2 × g × h
= 2 × 9.8 × 25
v² = 490.5
v = √490.5
v = 22.1 m/s
Therefore answer is C , i.e., 22 m/s
what rounds up to 5,620 to the nearest ten
5,610
Step by step explanation:When rounding to the nearest ten, like we did with 5620 above, we use the following rules:
We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.Answer: 5620
~~Step-by-step explanation~~
Rounding has a simple rule. 5 or above? Up you shove. 4 or below? Keep it low.
1. What are you using to round?
5620 : The tens place is the number we are either going to be rounding up or keeping. In this case, it is the 2 in 5620.5620 : When rounding to the nearest ten, you look at the ones section. In this case, it is the 0 in 5620.2. Execution
When rounding up to tens, look at the ones value. If the number is 5 or above, round the tens place up a number. (ex. 5625 --> 5630) If the number is a 4 or below, keep the tens value the same. (ex. 5624 --> 5620)Since the ones place in 5620 is below a four, we are going to keep the tens value the same, so the answer is going to be 5620.
Ashley is keeping track of the miles she runs over the summer. Her goal is to run 600 miles over the summer. If she has run 230 miles so far, write an equation and solve for the number of miles she has left to run to reach her goal.
Answer:
600-230=L
Step-by-step explanation:
L means Left or What's left
Simplify.
(2a2−3ab+5b2)−(a2−2ab+3b2)
A.a4−a2b2+2b4
B.3a2−5ab+8b2
C.a2−5ab+2b2
D.a2−ab+2b2
Simplify. (6x−3)−(2x−2)
A.4x2−1
B.4x−1
C.4x−5
D.4x2−5
Answer:
DBStep-by-step explanation:
You may find this easier if you distribute the minus sign first.
1)2a^2 -3ab +5b^2 -a^2 +2ab -3b^2
= (2 -1)a^2 +(-3+2)ab +(5 -3)b^2
= a^2 -ab +2b^2 . . . . . matches choice D
__
2)6x -3 -2x +2
= (6 -2)x +(-3 +2)
= 4x -1 . . . . . matches choice B
Find the sides, and the value of x and y.
Answer:
[tex]\huge\boxed{x=15;\ y=4}[/tex]
Step-by-step explanation:
Proportion:
[tex]\dfrac{x}{18}=\dfrac{5}{6}\qquad|\text{cross multiply}\\\\(x)(6)=(18)(5)\\\\6x=90\qquad|\text{divide both sides by 6}\\\\\huge\boxed{x=15}[/tex]
[tex]\dfrac{y}{5}=\dfrac{12}{x}[/tex]
substitute x = 15:
[tex]\dfrac{y}{5}=\dfrac{12:3}{15:3}\\\\\dfrac{y}{5}=\dfrac{4}{5}\qquad|\text{cross multiply}\\\\(y)(5)=(5)(4)\\\\5y=20\qquad|\text{divide both sides by 5}\\\\\huge\boxed{y=4}[/tex]
Please Help Me - Calc.
[tex]\text{Given that,}\\\\2(x^2+y^2)^2 = 25 (x^2-y^2)\\\\\implies 2\dfrac{d}{dx} (x^2 +y^2)^2 = 25 \dfrac{d}{dx} (x^2 -y^2)\\\\\implies 2 \cdot 2(x^2 +y^2) \dfrac{d}{dx}(x^2 +y^2) = 25\left[2x - 2y \dfrac{dy}{dx} \right]\\\\\implies (4x^2 +4y^2)\left(2x + 2y\dfrac{dy}{dx}\right) = 50x - 50y\dfrac{dy}{dx}\\\\\\\implies 8x^3+8x^2y \dfrac{dy}{dx} + 8xy^2 +8y^3\dfrac{dy}{dx} = 50x -50y \dfrac{dy}{dx}\\\\\\\implies 8x^2y \dfrac{dy}{dx} + 8y^3\dfrac{dy}{dx}+50y \dfrac{dy}{dx} = 50x -8x^3 -8xy^2\\\\[/tex]
[tex]\implies (8x^2y +8y^3 + 50y)\dfrac{dy}{dx} =50x -8x^3 -8xy^2\\\\\implies \dfrac{dy}{dx} = \dfrac{50x -8x^3 -8xy^2}{8x^2y+8y^3+50y}\\\\\implies \dfrac{dy}{dx}= \dfrac{25x-4x^3-4xy^2}{4x^2y+4y^3+25y}\\\\\\\implies \dfrac{dy}{dx} = \dfrac{x(25-4x^2-4y^2)}{y(4x^2 +4y^2 +25)}\\\\\\\text{Slope at}~~ (-3,-1)\\\\m=\dfrac{dy}{dx} = \dfrac{-3[25-4(-3)^2-4(-1)^2]}{(-1)[4(-3)^2 + 4(-1)^2+25]} = -\dfrac{45}{65} = -\dfrac 9{13}[/tex]
[tex]\text{Equation with given points,}\\\\y+1 = -\dfrac9{13}(x+3)\\\\\implies y = -\dfrac 9{13} x - \dfrac {27}{13} -1\\\\\implies y= -\dfrac 9{13} x - \dfrac{40}{13}\\\\\text{Hence the equation of this tangent line is now in a form of y= mx+b,}\\\\\text{where}~ m = -\dfrac 9{13}~ \text{and}~ b = -\dfrac{40}3[/tex]
Ella takes 1 3/5 hours to complete a
painting. Holly takes 3/4 of the time that
Ella takes. How long will Holly take to complete 5 paintings?
Answer:
6 hours
Step-by-step explanation:
FInding Holly's time of Ella's
Ella = [tex]1 \frac{3}{5}[/tex]
Holly = [tex]\frac{3}{4} \:\mathrm{of}\:1 \frac{3}{5}[/tex]
Solve:
[tex]\frac{3}{4} \:\mathrm{of}\:1 \frac{3}{5}[/tex]
[tex]= \frac{3}{4} \times1 \frac{3}{5}[/tex]
[tex]1\frac{3}{5} =\frac{8}{5}[/tex]
[tex]\frac{3}{4}\times \frac{8}{5}=\frac{24}{20}[/tex]
[tex]\frac{24}{20} =\frac{6}{5}[/tex]
Now, we can find how many hours it takes holly to complete 5 paintings:
[tex]\frac{6}{5}\times5[/tex]
[tex]=6[/tex]
Therefore, it will take Holly 6 hours to complete 5 paintings.
d ÷ 20 = 0.81
d = ?
what is d?
Answer: 16.2
Step-by-step explanation:
i used the calculator
Elizabeth earned $150 a week tutoring . If he saved $75, what percent of the money he earned did he save
Answer:
50%
Step-by-step explanation:
Cuz 75 is 1/2 of 150, so 1/2 is equal to 50%.
11/2 ___ 55%? PLS I NEED A AWNSER
Answer:
The answer is >
Step-by-step explanation:
11/2 as a percentage is equal to 550% which is greater than (>) 55%
8 grade math part 1 help me
Let f(x) =
=(x^2-16x+39
Divide by X-3
a,if x #3
if x = 3
Answer:
Step-by-step explanation:
x² - 16x + 39 = ( x - 3 )( x - 13 )
andrew bought a camera on sale at a 20% discount. it was marked down from its regular price of 120$ if there is an 8% sales tax on the sales price, how much did andrew pay for the camera?
Answer:
$103.68
Step-by-step explanation:
20% 0f 120 is 24
120-24=96
8% of 96 is 7.68
96 + 7.68 = 103.68
The sum of three consecutive terms of an arithmetic sequence is 27, and the sum of their squares is 293. What is the absolute difference between the greatest and the least of these three numbers in the arithmetic sequence?
The answer is 10 but I don’t know how to get it
The absolute difference between the greatest and the least of these three numbers in the arithmetic sequence is 10.
The sequence is an arithmetic sequence. Therefore,
d = common difference
let
a = centre term
Therefore, the 3 consecutive term will be as follows
a - d, a, a + d
a - d + a + a + d = 27
3a = 27
a = 27 / 3
a = 9
Therefore,
(a-d)² + (a)² + (a + d)² = 293
(a²-2ad+d²) + 9² + (a² + 2ad + d²) = 293
(81 - 18d + d²) + 81 + (81 + 18d + d²) = 293
243 + 2d² = 293
2d² = 50
d² = 50 / 2
d = √25
d = 5
common difference = 5
Therefore, the 3 numbers are as follows
9 - 5 , 9, 9 + 5 = 4, 9, 14
The difference between the greatest and the least of these 3 numbers are as follows:
14 - 4 = 10
learn more on Arithmetic progression: https://brainly.com/question/25749583?referrer=searchResults
What is the smallest number that is a multiple of both 4 and 6
Answer:
2
Step-by-step explanation:
4 2x2 is 4
2x3 is 6
sorry for the long type it says 20 character above
Find the area of the shape shown below:
Answer:
80
Step-by-step explanation:
3.5*2*2*2*2*5=280
What do we call these types of fractions?
1/2 and 5/10
Answer:
Proper Fractions.
Step-by-step explanation:
These are Proper Fractions because the numerator (1 and 5) is lower than the denominator (5 and 10).
help me on my 7th grade math homework
Answer:
Step-by-step explanation:
divide the money or degrees by the hours or form of time they give. for the first one you divide 585/52 to get $11.25 an hour.
name a ray with endpoint u
i don't know hindi ko po alam
a and b
alam ko
Select the range of the following relation { (20, 2), (30, 4), (40, 1), (50, 2)} A {1, 2, 3) B {1,2,4} C {1, 2, 3, 4) D {2, 3, 4)
Answer:
B {1,2,4}
Step-by-step explanation:
I took the test
When rolling a die what is probability of rolling a one
Answer:
1/6
Step-by-step explanation:
6 sides. 1 face with number 1. 1/6
if 24 bags of sugar with equal weight weigh 21 kg, how many bags of sugar would weigh 122kg?
Answer:
24 bags = 21 kg
1.142 bag = 1 kg
About 139 bags = 122 kg
You start off with 24 bags that equal the same amount as 21 kg. You need to find out how many bags of sugar equal the same amount as 122 kg. The first line is a ratio and to find your answer you need to figure out what is 1 kilogram equal to in the amount of bags. You divide both sides by 21 leaving 1.142 bag equal to 1 kilogram. In order to find 122 kilograms, you have to multiply both sides by 122 kilograms which would give you about 139 bags = 122 kilograms.
Your final answer: 139 bags
I hope this helped!
tom drank 3/4 of a cup of water in 2/3 of a minute. at this rate how much water did he drink in a full minute PLEASE HELP
Answer:
9/8
Step-by-step explanation:
x=(3/4)/2*3=9/8
Answer:9/8
Step-by-step explanation:divide 3/4 by 2/4
A restaurant is making hamburgers. The cooks use 2/3 pounds of beef for each hamburger. If the cooks have 44 and 2/3 pounds of beef,how many hamburgers can they make?
Answer:
67 hamburgers
Step-by-step explanation:
In order to find the answer to this question, you must do the following equation:
44÷2/3. The answer to this is 66.
Then, you add 1 to 66, because 2/3 divided by 2/3 = 1!
So, the cook can make 67 hamburgers.
in simplest form is _______.
Answer:
5/7
Step-by-step explanation:
The greatest common factor of 25/35 is 5, 25/5=5, 35/5=7, therefore your answer is 5/7.
How many solutions does the nonlinear system of equations graphed below have?
Answer:
Four
Step-by-step explanation:
I recoloured the hyperbola to enfasize the two different equations (the other is a circle. The solution of the equations are the point where the two graphs touch, which are circled in black.
Cameron wants to buy a camera for $259. He has $50 and plans to save $20 each week. How many weeks will it take to save enough money to buy the camera? (not including
sales tax)
Answer:
About 11 Weeks
Step-by-step explanation:
I found out by multiplying 11 by 20 and got 220. Then, adding 50 is 270, which is just over 259. It's not ten because 200 is just underneath his goal.
What is the solution of this inequality? r−6>−11
Answer:
r > -5
Step-by-step explanation:
r - 6 > -11
+ 6 + 6
---------------
r > -5
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
22. A baker is planning to make a batch of sugar cookies for his bakery. For one large batch of cookies, the recipe calls for 6 eggs and 4 cups of sugar. The ratio for this 1 batch is 6 to 4 6:4 or The baker has to make 5 batches of cookies. How many eggs and cups of sugar she 4 will need to make these 5 batches. 6 22. eggs 23. cups of sugar 24. The Ratio in word form for the 5 batches of cookies:
Answer:
22. 30
23. 20
25. Thirty to twenty, or 30:20
Step-by-step explanation:
22.6*5
23.4*5
what is
The lines shown below are parallel. If the green line has a slope of -3/7
the slope of the red line?
I need help with this question
Answer:
Go download CameraMath on playstore that how
I is get my answer