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.
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show your work
3|n-4| = 18
Answer:
n = 10, n = -2
Step-by-step explanation:
hope it helps.
How to find displacement from velocity.
Answer:
The average velocity of the object is multiplied by the time traveled to find the displacement. The equation x = ½( v + u)t can be manipulated, as shown below, to find any one of the four values if the other three are known.
WILL MARK BRAINLIEST
Solve 39.2 ÷ 7 = ________.
5.2
5.3
5.5
5.6
Answer:
5.6
Step-by-step explanation:
Answer:
5.6
Step-by-step explanation:
I just take each answer and multiply it by 7 until the answer matches 39.2.
5.6 * 7 = 39.2
A textbook store sold a combined total of 236 history and physics textbooks in a week. The number of history textbooks sold was three times the number of physics textbooks sold. How many textbooks of each type were sold
Answer:
Step-by-step explanation:
Let H and P represent the number of history and physics textbooks.
We are told that:
1) H + P = 236/week, and
2) H = 3P [A disgrace, but that's a different problem]
We can substitute the definition of H in the second equation into the first:
H + P = 236/week
3P + P = 236/week
4P = 236
P = 59
H = 3P, so H = 3*(59) or 177
59 Physics and 177 History books for a total of 236 books sold that week.
The nth term of a sequence is 3n2 - n + 10 where n is a positive integer. Which term in the sequence is equal to 54?
Answer:
4th term
Step-by-step explanation:
Equate the nth term formula to 54 and solve for n
3n² - n + 10 = 54 ( subtract 54 from both sides )
3n² - n - 44 = 0
Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term.
product = 3 × - 44 = - 132 and sum = - 1
The factors are - 12 and + 11
Use these factors to split the n- term
3n² - 12n + 11n - 44 = 0 ( factor the first/second and third/fourth terms )
3n(n - 4) + 11(n - 4) = 0 ← factor out (n - 4) from each term
(n - 4)(3n + 11) = 0
Equate each factor to zero and solve for n
n - 4 = 0 ⇒ n = 4
3n + 11 = 0 ⇒ 3n = - 11 ⇒ n = - [tex]\frac{11}{3}[/tex]
Since n > 0 then n = 4
The 4th term of the sequence is 54.
What is a sequence ?A sequence is a set of numbers with a constant difference or a constant ratio or it have a certain relation with the next and previous term.
According to the given question the nth term of a sequence is 3n² - n + 10.
We have to determine which term is equal to 54 or the value of and it must be an integer.
So, 3n² - n + 10 = 54.
3n² - n - 44 = 0.
3n² - 12n + 11n - 44 = 0.
3n(n-4) +11(n-4) = 0.
(3n+11) = 0 OR (n-4) = 0.
n = - 11/3 OR n = 4. ( given the term no. is a positive integer ).
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True or False: The U.S. Bureau of the Census provides information that is useful for defining the denominator in rates.
Answer:
True
Step-by-step explanation:
Is this right? Please let me know
Answer:
See below:
Step-by-step explanation:
No, it appears to be incorrect if its based off the image you have provided.
I can help you make it correct though.
I'll take you through 2 steps to solve the problem, one being Equations and another being Graphing.
Equations
So, to find the slope, we need to get an equation. Most slope's are in the [tex]y=mx+b[/tex] form which have a few components that we need to know to figure it out.
[tex]m[/tex] is the slope of the line.[tex]b[/tex] is the y intercept: (0,b)Now that we know this, we can start breaking i down and soon begin graphing.
The y intercept is one point that we can use to start the line, as the question says to graph the line, we need to start by using the y intercept as one point on the line which would be (0,6) so that would be one point.
Graphing
To graph the line, we need to find the y intercept and another point. For example, we found the y intercept in the previous section, and it was (0,6). We can find another point by just looking at the slope. The slope of the line is 3 so we would go up 3 right 1 from our point to get our second point.
So, our points would be:
(0,6)(1,9)Cheers!
Athlete A rode her bike 2.5 miles. Athlete B rode her bike 3 miles. How many more feet did Athlete B ride than Athlete A?
Arlington ISD needs to construct a handicap ramp for one of its new buildings under construction. One point on the construction blueprint for the ramp can be identified by the ordered pair (d, 4d), and another point on the ramp is identified by the ordered pair (3d, 5d). If d is not equal to zero, what will the slope of the handicap ramp be after construction is completed?
The slope of the handicap ramp is 1/2
The slope of the handicap ramp is gotten from the equation for the slope of a line, m with endpoints (x₁, y₁) and (x₂, y₂).
m = (y₂ - y₁)/(x₂ - x₁)
Since one point of the ramp can be identified by the ordered pair (d, 4d) and another point on the ramp is identified by the ordered pair (3d, 5d), we have that (x₁, y₁) = (d, 4d) and (x₂, y₂) = (3d, 5d).
Substituting the values of the variables into the equation, we have
m = (y₂ - y₁)/(x₂ - x₁)
m = (5d - 4d)/(3d - d)
m = d/2d
m = 1/2
So, the slope of the handicap ramp is 1/2
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HELP ME HELP ME HELP ME!!! Given f(x) below, find f^-1(x).
Answer:
[tex]f^{-1}[/tex] (x) = 6 - 4x
Step-by-step explanation:
let y = f(x) and rearrange making x the subject
y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{3}{2}[/tex] ( multiply through by 4 to clear the fractions )
4y = - x + 6 ( subtract 6 from both sides )
4y - 6 = - x ( multiply through by - 1 )
- 4y + 6 = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = 6 - 4x
7. What are the slope and y-intercept of y=3x-5?
Answer:
slope = 3
y-intercept = -5
Step-by-step explanation:
y = mx + b
m = slope; b = y-intercept
y = 3x - 5
y = 3x + (-5)
m = 3 = slope
b = -5 = y-intercept
Answer:
The slope is 3 and the y-intercept is negative 5.
The slope is defined in the equation by the number before the x and the y-intercept is defined in the equation by the number that follows. If there is no number then the y-intercept is zero.
Step-by-step explanation:
hope this helps. . . <3
good luck! UwU
The diagram shows 5 triangles. All lengths are in centimetres. Which two triangles are congruent to each other
Answer:
It should be A & D
Step-by-step explanation:
These two are the only ones that have the exact same numbers on all three sides. They are congruent based on SSS.
What is the value of b?
Answer:
C. 42
Step-by-step explanation:
helppp,no links or spam
Answer: 6.45 x 10^10
Step-by-step explanation:
Because 10^5 and 10^4 both have 10, we can add the exponents to get 10^9.
Multiplying 7.5 and 8.6 gets you
7.5 * 8.6 = 64.5
We can move the decimal up a place to get 6.45 and add another power to 10^9 to get 10^10
Your final answer should be 6.45 x 10^10
Answer:
C 6.45x 10 to the power of 10
Step-by-step explanation:
10 to the power of 5 is 100,000. 7.5x100,000 is 750,000.
10 to the power of 4 is 10,000.
10,000x8.6 is 86k
now we do 750,000x86,000 which is 64,500,000,000
10 to the power of 10 is 10 billion times 6.45 is 64,500,000,000
A family travels a distance of 870 miles in 13 hours on vacation. What was the families average speed for this trip? s
Answer: 256.
Step-by-step explanation:
✨maThS✨
Round this number to the nearest one.
3.5
Hello there, hope you are having a nice day.
This is the rule for rounding:
If the number is less than 5, we round down.- Example: 3.4 =>3
If the number is greater than or equal to 5, we round up.- Example: 6.7 =>7
Using this rule, we can round 3.5:
3.5 =>4
Hope it helps. Ask me if you have any queries.
Please mark Brainliest. It would mean a lot to me.
~An emotional teen who helps others with joy
Good luck.
The number 20,2Δ8 is a 5-digit number with the tens digit covered by a triangle. Given that the number is divisible by 7, what is its tens digit? I GIVE BRAINLIEST!
Answer:
20258. The missing digit is a 5
Step-by-step explanation:
Ok, let's write the number in a more creative way. That's [tex]21 000 - 700 = 20 300[/tex], minus something else. That something else has to be a multiple of 7, be less than 100, and has to end with a 2. Now start writing down the multiplication table for 7 and find how many of them ends with 2. 42 comes to mind, and that's the only one. (you can go up to 7x14=98 before having one digit too many).
That brings your number to be written as [tex]21000-700 -42 = 20258.[/tex]
In theory there was a criteria to see if a number was divisible by 7, but I've never learned it.
I agree with the other person. The answer is 5.
Here's how we can check to see if a number is divisible by 7.
Step 1) Remove the units digit to form a truncated (aka shrunken) number.Step 2) Double the digit we removed.Step 3) Subtract that result from the truncated number.If the result of the third step is a multiple of 7, then so is the original value itself. We can repeat the steps to progressively shrink the values down so we have something more manageable.
---------------
Let's use those steps to see if 20,258 is a multiple of 7
Step 1) Remove the '8' from 20258 to to get 2025Step 2) Double the 8 to get 16Step 3) Subtract 16 from 2025 to get 2025 - 16 = 2009It's not clear if 2009 is a multiple of 7 or not; however, we can apply the same three steps to shrink the number down. This process can be repeated as many times as you like.
Step 1) Remove the 9 from 2009 to get 200Step 2) Double the 9 to get 18Step 3) Subtract to get 200-18 = 182Like before, the result 182 is fairly big and it's not clear if we have a multiple of 7. Luckily, we only need to do one more round of those steps.
Step 1) Remove the 2 from 182 to get 18Step 2) Double that value we removed to get 4Step 3) Subtract to get 18-4 = 14The result 14 is a multiple of 7, which means that 182 is also multiple of 7. By a domino-like chain reaction, the values 2009 and 20258 are also multiples of 7.
Notes:
182 = 26*72009 = 287*720258 = 2894*7---------------
We've just verified that 20258 is a multiple of 7. Let's go over an example a non-multiple of 7. I'll add 1 to the number 20258 so we are guaranteed that it cannot possibly be a multiple of 7. Doing the round of steps as shown above should get us to some smaller non-multiple of 7.
Step 1) Remove the 9 from 20259 to get 2025Step 2) Double the 9 to get 18Step 3) Subtract: 2025 - 18 = 2007Repeat the steps until we get something more manageable
Step 1) Remove the 7 from 2007 to get 200Step 2) Double the removed digit: 7*2 = 14Step 3) Subtract: 200-14 = 186Let's do one more round
Step 1) Remove the 6 from 186 to get 18Step 2) Double the digit removed: 2*6 = 12Step 3) Subtract: 18-12 = 6The value 6 is not a multiple of 7, and neither are 186 and 2007 and 20259.
If you have your calculator with you, then you should see that dividing any of those values over 7 will not lead to a whole number result.
186/7=26.57 2007/7=286.71 20259/7=2894.14This is a fairly quick and efficient way to check divisibility by 7 if you are in a hurry.
How many sides does a regular polygon have if each interior angle measures 176^{\circ}
∘
Answer:
90 sidesStep-by-step explanation:
There is a relationship between number of sides and interior angle measure of regular polygons:
S = 180(n - 2), where S- sum of interior angles, n - number of sidesWe have now:
176n = 180(n - 2)176n = 180n - 3604n = 360n = 90It's equilateral polygon
Sum of interior angles=176n.n is no of sides
[tex]\\ \sf\longmapsto (2n-4)90=176n[/tex]
[tex]\\ \sf\longmapsto 180n-360=176n[/tex]
[tex]\\ \sf\longmapsto 180n-176n=360[/tex]
[tex]\\ \sf\longmapsto 4n=360[/tex]
[tex]\\ \sf\longmapsto n=4[/tex]
what is the sum of the polynomials
(8x^2-9y^2-4x) + (x^2-3y^2-7x)
Answer:
[tex]9x^{2} - 12y^{2} - 11x[/tex]
Step-by-step explanation:
[tex](8x^{2} - 9y^{2} - 4x) + (x^{2} - 3y^{2} -7x)\\(8x^{2} + x^{2} ) + (-9y^{2} - 3y^{2} ) + (-4x - 7x)\\9x^{2} - 12y^{2} - 11x[/tex]
In the first step, I rearranged the equation and put like terms together.
Then I just combined the like terms.
I hope this helps!
Griff needs $46.35 more to buy a video game that costs $75.00, how much money does he already have?
Ari needs to mix 3 tablespoons of dish soap with 6 tablespoons of vinegar to make a cleaning solution. How many tablespoons of vinegar are needed for each tablespoon of dish soap?
Answer:1 tablespoon of dish soap to 2 tablespoons of vinegar
Step-by-step explanation:
Answer:
1 tablespoon of dat soap to 2 table spoons of dat vinegar.
Step-by-step explanation:
So imagine. If 3 tablespoons of dish soap is to 6 table spoons of vinegar then 3 goes into 6 twice. So, 1 tablespoon of dish soap is it 2 table spoons of vinegar.
another way to look at it:
1tbs dish soap = 2tbs vinegar
2tbs dish soap = 4tbs vinegar
3tbs dish soap = 6tbs vinegar
You’re loading bags of cement into a truck. You load bags weighting 175lbs, 154lbs, and 118lbs. What is the total weight you have loaded onto the truck?
Answer:
447 lbs
Step-by-step explanation:
175+154+118=447
Find the pressure if a force of 750 N acts on an area of 12 cm3
Someone please help me
Answer:
yes as if two opposite sides of a four sided quadrilateral turns up to be symmetry or same then it is a rectangle not a square as a square has four lines of symmetry
p=5(q-2r)/r
solve for r
Answer:
r = 5q / (p + 10)
Step-by-step explanation:
p = 5(q - 2r)/r
multiply both sides by r
pr = 5(q - 2r)
distribute
pr = 5q - 10r
add 10r to both sides
pr + 10r = 5q
Factor out r
r(p + 10) = 5q
divide both sides by p + 10
r = 5q / (p + 10)
If the side lengths are
doubled, then which of
the following
statements about its
perimeter will be true?
The new perimeter will be
times the old
Answer:
It would be 2 times the old perimeter.
what is 400x800 do any one knows
Answer:
Step-by-step explanation:
320000 is your answer
PLZZZ HELPPPP MEEEEEEE
Step-by-step explanation:
I can help you, but first make me brainliest
Can someone solve this for me please? I would be very thankful <3
Answer:
running speed is horse power
so up with horse
it will tell its power
go and denge it
so you will get your answer by this process
Determine a series of transformations that would map Figure O onto Figure P.
Answer:
OP question dude..
Step-by-step explanation:
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