Answer:
-2
Step-by-step explanation:
Answer:
This is negative 2
or
-2
Step-by-step explanation:
Dave throws sweets upwards at a speed of 8ms^-1 from a first floor window to his sister Carol who is standing at a second floor window 3m directly above Dave. Carol misses catching the sweet as it passes her hand on the way up, but catches it on the way down. Calculate the time it takes for Carol to catch the sweet after Dave has thrown it.
It would take [tex]1 second[/tex] for Carol to catch the sweet after Dave threw it.
Let
[tex]h=\text{maximum height}\\y=\text{distance from maximum height to Carol}\\t_h=\text{time taken to reach maximum height}\\t_y=\text{time taken to fall from maximum height to Carol}[/tex]
we want to calculate the value [tex]t_h+t_y[/tex]
First, we have to calculate [tex]t_h[/tex] using the formula
[tex]v=u+at[/tex]
using [tex]v=0[/tex], [tex]u=8[/tex], [tex]a=-10[/tex] (the sweets are decelerating due to gravity!)
[tex]0=8-(10)t_h\\10t_h=8\\t_h=\frac{8}{10}=0.8seconds[/tex]
To calculate [tex]t_y[/tex], first calculate [tex]h[/tex], then [tex]y[/tex]. Using the formula
[tex]h=ut+\frac{1}{2}at^2[/tex]
and the values [tex]u=8[/tex], [tex]t=t_h=0.8[/tex], [tex]a=-10[/tex] (again, the sweets are decelerating to get to maximum height)
[tex]h=(8)(0.8)+\frac{1}{2}(-10)(0.8)^2\\\\=6.4-3.2\\=3.2m[/tex]
since, Carol is standing [tex]3m[/tex] above Dave, we have the relationship
[tex]h=y+3[/tex]
so that
[tex]y=h-3\\=3.2-3\\=0.2m[/tex]
we can now calculate [tex]t_y[/tex];
[tex]y=ut_y+\frac{1}{2}gt_y^2[/tex]
taking [tex]y=0.2[/tex], [tex]u=0[/tex], [tex]g=10[/tex] (the sweets are falling, so they are now accelerating)
[tex]0.2=(0)t_y+\frac{1}{2}(10)t_y^2\\\\0.2=5t_y^2\\t_y^2=0.04\\\implies t_y=0.2seconds[/tex]
So it would take
[tex]t_h+t_y=0.8+0.2=1.0seconds[/tex]
for Carol to catch the sweet after Dave threw it from the first floor.
Learn more here: https://brainly.com/question/84352
ANSWER PROPERLY FOR BRAINLIEST OR ELSE I REPORT
Answer:
A: 0.3
B: 0.3
Step-by-step explanation:
Basically both answers are the same
The angle of elevation from the tip of the shadow to the top of the tree is 36°. Find the distance from the top of the tree to the tip of the shadow. Round the answer to the nearest tenth. A. 26. 7 feet b. 30. 2 feet c. 40. 8 feet d. 42. 9 feet.
The expression that represents the required distance is [tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]
The given parameters are:
[tex]\mathbf{\theta =36^o}[/tex] --- the angle of elevation to the top of the tree
To do this, we make use of the following representations
s represents the distance from the tip of the shadow to the top of the treeh represents the height of the treeThe distance (s) is then calculated using the following sine ratio
[tex]\mathbf{ sin(\theta) = \frac{h}{s}}[/tex]
Make s the subject
[tex]\mathbf{ s = \frac{h}{sin(\theta)}}[/tex]
Substitute [tex]\mathbf{\theta =36^o}[/tex]
[tex]\mathbf{ s = \frac{h}{sin(36)}}[/tex]
Evaluate sin(36)
[tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]
The height of the tree is not known.
Hence, the expression that represents the required distance is [tex]\mathbf{ s = \frac{h}{0.5878}}[/tex]
Read more about elevations and distance at:
https://brainly.com/question/14550522
The expression that represents the required distance is
The given parameters are:
--- the angle of elevation to the top of the tree
To do this, we make use of the following representations
s represents the distance from the tip of the shadow to the top of the tree
h represents the height of the tree
The distance (s) is then calculated using the following sine ratio
Make s the subject
Substitute
Evaluate sin(36)
The height of the tree is not known.
Hence, the expression that represents the required distance is
Read more about elevations and distances at:
brainly.com/question/14550522
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tatiana had $350. she spent $180 on herself ad the rest on presents for her family.writ an equation to express how much tatiana spent on her family.
Answer:
$350 - $180 = $170
$180 = T
$170 = F
T = Tatiana
F = Family
Step-by-step explanation:
Answer:
Equation to express how much Tatiana spent on her family
= $(350-180)
Work out the midpoint A of the line segment B, where A(3,10) and B(5.8).
Answer:
Midpoint of (3,10) & (5,8) is (4,9)
A bag contains three red marbles, three blue marbles, and three yellow marbles. You randomly pick three marbles without replacement. The first marble is red, the second marble is blue, and the third marble is red.
Answer:
first one is yellow
Step-by-step explanation:
Find the slope for the table.
Answer:
2
Step-by-step explanation:
as x increases by 2, y increases by 4, slope= rise/run, so the slope= 4/2=2
8. Makayla and Haylee are selling oranges for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Haylee sold 6 small boxes and 12 large boxes for a total of $330. Makayla sold 12 small boxes and 4 large boxes for a total of $280. a. Write a system of equations that gives the cost of one small box of oranges and one large box of oranges.
b. Find the cost of a small box of oranges and the cost of a large box of oranges
Answer:
x = 55 - 2y
y = 70 - 3x
x = 17
y = 19
Step-by-step explanation:
let x = small box
y = large box
6x + 12y = 330
12x + 4y = 280
6x + 12y = 330
6x = 330 -12y
6x/6 = (330-12y)/6
x = 55 - 2y
12x + 4y = 280
4y = 280 -12x
4y/4 = (280 -12x)/4
y = 70 - 3x
small box cost:
x = 55 - 2y
x = 55 - 2(70-3x)
x = 55 -140 + 6x
x - 6x = -85
-5x = -85
x = 17
large box
y = 70 - 3x
y = 70 - 3(17)
y = 70 - 51
y = 19
What fraction of 1 km is 725 m?
Answer:
It is 725/1000.
Step-by-step explanation:
The fraction can be simplified but that will result in a loss of information about its accuracy.
have a great day!
which expressions are equivalent to 4 (4a + 5)
choose 3 answers
A. 16a + 5
B. 16a + 20
C. 12a + 20 + 4a
D. 2 (8a + 10)
E. 16a + 5 + 4
Answer:
B 16a + 20
Step-by-step explanation:
4(4a + 5) = 4 times 4a + 4 times 5
= 16a + 20
someone please help me
Find the number that makes the ratio equivalent to 99:66
:6
Answer:
9
Step-by-step explanation:
99 : 66 ( divide both parts by 11 )
= 9 : 6
factorise the following
a) 5x-x²
b) x²-6x-27
c) x²+x-56
d) x³+8
e) 3x⁴-54t
f) x²+3x-10
g) 2(x⁴+x³-12x²)
h) 20(x³-1)
Answer:
Below.
Step-by-step explanation:
a) 5x-x² = x(5 - x).
b) x²-6x-27 = (x - 9)(x + 3).
c) x²+x-56 = (x - 7)(x + 8).
d) x³+8 = (x + 2)(x^2 - 2x + 4)
e) 3x⁴-54t = 3(x^4 - 18t)
f) x²+3x-10 = (x - 2)(x + 5)
g) 2(x⁴+x³-12x²) = 2x^2(x + 4)(x - 3)
h) 20(x³-1) = 20(x - 1)(x^2 + x + 1)
!!NEED ASAP!!
The London Eye is Europe's
largest Ferris wheel with a
diameter of 120 meters. It takes
30 minutes for the wheel to make
one full rotation. If the wheel is
running continuously, how far will
a passenger travel in 40 minutes?
Round your answer to
the nearest tenth.
Diameter = 120m
Circumference = (120 · π) m
(40 min) / (30 min/rotation) = 4/3 rotation
Passenger travel = (4/3) · (120π) = 160π meters = 502.7 meters
if the output number y is -52 (y=5x-2) what is the input number? SHOW WORK
Answer:
-10
Step-by-step explanation:
The 'y' variable is associated with outputs and the 'x' variable is associated with inputs.
[tex]y = 5x-2\\\rule{150}{0.5}\\-52 = 5x - 2\\\\-52 + 2 =5x - 2 + 2\\\\-50 = 5x\\\\\frac{-50=5x}{5}\\\\\boxed{-10 = x}[/tex]
-10 (x) should be the input number.
Answer:
x = -10
Step-by-step explanation:
Equation:
-52 = 5x - 2 [tex]\longmapsto[/tex] Add 2 to both sides
-50 = 5x [tex]\longmapsto[/tex] Divide both sides by 10
x = -10
-Chetan K
PLS HELP ME IMMA CRY ONGG GGHGHJH
Answer:
127
Step-by-step explanation:
We started at 7
We keep going up 3
multiply
[tex]3\cdot40=120[/tex] Now add [tex]120+7=127[/tex] at the 40th term
Answer:
I believe its 127?
Step-by-step explanation:
I solved this by 7+3x40 and that was my answer.
Please tell me if its wrong, if so tell me what the correct one is. :)
Have a good day!
I am Stuck on this Math Question on Angles
So there is this math question im stuck on and I was wondering how to solve it and the answer for this problem
The problem consists of two parralel lines and a triangle but there are exterior angles im trying to find the angle of but I simply cannot
I will provide a picture for you guys to see
Thank you and have a good day :)
Hello.My question is......what are my chances of rolling a 4 when i throw a dice if i rollo it two times?
Answer:
Step-by-step explanation:
3
Answer:
1/6 because wanting to roll a four every time you roll a dice is going to be a 1.6 chance since there is only one 4
Step-by-step explanation:
Simplfy the answer t-4t2/t2
Answer:
t - 16
Step-by-step explanation:
Hope this helps!! :))
The population mean for a college Introduction to Biology quiz is 15 points. A sample of 45 high school seniors earns an average of 18.54 points. A 90% confidence interval for the true mean of high school seniors is [15.87, 21.20]. Based on this confidence interval, what would your decision be in regard to a 2-tailed null with an alpha level of 0.1
Answer:
C) Reject null, because 15 is not in the interval.
Step-by-step explanation:
3x+2x=20. What is the answer dor this equation.
Need Asap pls
Find the excluded value of the Following. Make sure to show the solution.
1. - 4/b + 6
2. x - 1 / (x - 3) (x + 4)
7075806785463087580370x98437532794395798243757934
Answer:
6.9652496e+47
Step-by-step explanation:
Answer:
use calculator to solve this equation
Given a circle with radius 5cm and using π=3.14 calculate it's circumference (I will make you Brainliest)
Answer:
Circumference = 31.4 feet
Area= 78.5 sq. feet.
Step-by-step explanation:
brainliest please?????
Pls help ASAPI don’t understand can you show steps too pls
Answer:
x = -2 , y = -1
(-2,-1)
Solve the system of equations using substitution.
X + y = 13
x - y = 5
Please help
Answer:
x=9
y=4
Step-by-step explanation:
When deriving the Quadratic Formula, we start with the general equation for a quadratic:
Answer:
Step-by-step explanation:
c sssAlexa is y years old. Nate is 22 years old, and Alexa is one-half Nate's age Which equation shows an equality between two different ways of expressing Nate's age? OA) 22 = 2y OB) 22 = 2 + y OC) 22==y - 22 OD 22 = y2
Answer:
A. is the correct answer
Step-by-step explanation:
Stay safe.
PLZ HELPP I NEED THIS ASAP ROUND TK THE NEAREST TENTH HELP ASAP GIVING BRAINLEST
Answer:
3.9
Step-by-step explanation:
The sum of 3 odd integers is 33. what is the second integer? (and how would I show my work)