Answers
Step-by-step explanation:
Since the initial velocity of the object is 170 ft/s, the expression for h is given by
[tex]h = -16t^2 + 170t[/tex]
In order to find the time it takes for the object to reach the height of 302 ft, we to rewrite the equation above as
[tex]302 = -16t^2 +170t \Rightarrow 16t^2 - 170t + 302 = 0[/tex]
This is a quadratic equation whose roots are
[tex]t = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
where a = 16, b = -170 and c = 302. Using these values, we get
[tex]t = \dfrac{170 \pm \sqrt{(-170)^2 - 4(16)(302)}}{2(16)}[/tex]
[tex]\;\;\;=\dfrac{170 \pm \sqrt{28900 - 19328}}{32}[/tex]
[tex]\;\;\;= \dfrac{170 \pm 97.8}{32}[/tex]
[tex]\;\;\;= 2.3\:\text{s},\;\;8.4\:\text{s},[/tex]
This means the object will reach the height of 302 ft 2.3 seconds after launch and then at 8.4 seconds after launch (on its way down).
Answer:
Step-by-step explanation:
Related Questions
Write the equation of the parabola that has the vertex at point
(−2, 5.5) and passes through the point (−2.5, 2.5).
Answers
Answer:
-12x²-48x-42.5
Step-by-step explanation:
Number 1. What is 42% of 80
Answers
Answer:
The answer is 33.6.
Hope that helps?
Step-by-step explanation:
Sara says, "If you subtract 17 from my number and multiply the difference by - 4, the result is
- 60." What is Sara's number?
Answers
Answer:
32
Step-by-step explanation:
ok to the result is - 60 she said. So then we know that in order to get -60, you had to subtract 17 from the original number and multiply by -4.
equation is this: (x-17)×-4= -60
Next, we solve using pemdas!
x-17=[tex]\frac{-60}{-4}[/tex] (keep in mind that a negative cancels out a negative!)
add 17 to both sides
x= [tex]\frac{-60}{-4}[/tex]+17
So then now that you have the new equation you simplify!
x= 32
Please solve the question on the file.
Answers
Answer:
Step-by-step explanation:
they arent similar because the ratio of 8 to 14 and 10 to 18 arent the same.
If one of the factors of r ^ 2 + 21r + 98 is r + 7 , what is the other factor?
Answers
Answer:
i think factor the expression (r+7)(r+14) is answer
Step-by-step explanation:
Answer:
(r + 14)
Step-by-step explanation:
When factoring a trinomial in the form of:
[tex]ax^2+bx+c[/tex]
you need to find 2 numbers that multiply to make ac and add to make b. Here, we need to find 2 numbers that multiply to 98 and add to 21. First, list the factors of 98:
1, 98
2, 49
7, 14
and the reverse of all of those is also true.
Now find factors that add to 21. In this case, those are 7 and 14. You need to break the middle term in the trinomial into those 2 numbers:
[tex]r^2+21r+98\\r^2+7r+14r+98[/tex]
Finally, you can factor each half of this individually.
[tex](r^2+7r)+(14r+98)\\r(r+7)+14(r+7)\\(r+14)(r+7)[/tex]
We were already given (r + 7), so the answer is (r + 14).
Please help I'll mark brainliest
A cook came across two cups and one saucer in a kitchen cupboard.
Bored for something to do, she weighed each item.
Altogether, the three items came to 12 ounces.
The larger cup with the saucer weighed exactly double of the smaller cup.
The smaller cup with the saucer weighed exactly the same as the larger cup.
What did each item weigh?
Answers
Answer: saucer 3 ounces smaller cup 3 ounces larger cup 6 ounces
Step-by-step explanation:
Pls help as soon as possible thank you
Answers
Answer:
D
Step-by-step explanation:
F(g) falls between 0 and 49.58
Ivanna drove 420 miles using 18 gallons of gas. At this rate, how many gallons of gas would she need to drive 357 miles?
Answers
Answer:
15.3 GAL.
Step-by-step explanation:
I will mark brainly, help me with this question please.
Answers
Step-by-step explanation:
Since [tex]x[/tex] varies directly as [tex]\sqrt{y}[/tex] we can write the relation as
[tex]x = k\sqrt{y}[/tex]
where k is the constant of proportionality.
a) To solve for the k, we substitute the given values:
[tex]5 = k\sqrt{13} = k(13)[/tex]
[tex]\Rightarrow k = \dfrac{5}{13}[/tex]
b) The equation relation x and y can be written as
[tex]x = \dfrac{5}{13}\sqrt{y}[/tex]
c) When y = 9,
[tex]x = \dfrac{5}{13}\sqrt{9} = \dfrac{5}{13}(3) = \dfrac{15}{13}[/tex]
HELPPP PLS :)
find the value of x.
Answers
Answer:
9
Step-by-step explanation:
4x - 2 = 34 measure of two legs of isosceles triangle are equal
4x = 36
x = 9
I SWEAR IF I GET ANOTHER LINK I WILL SCREAM Parth created a Box-and-Whisker Plot to show the average weight of the fish he caught over the weekend. What information from the 1st Quartile does the graph give you?
A. Three fourths of the fish he caught were larger than 22 pounds.
B. The average weight of the fish he caught was 40 pounds.
C. Three fourths of the fish he caught were less than 22 pounds.
D. The largest fish he caught was 63 pounds.
Answers
Answer:
C. Three fourths of the fish he caught were less than 22 pounds.
Step-by-step explanation:
Hope it helps! At least you didn't scream Imao
Answer:
C
Step-by-step explanation:
i answered so the other person gets the brainliest they deserve!
The values in the five-number summary divide a data set into four quarters.
A. True
B. False
Answers
Answer:
The values in the five-number summary divide a data set into four quarters.
→ True
Mark me as brainlist plz :)
Answer:
the answer is TRUE
Step-by-step explanation:
Worth 50 points!I need help plz!
Will mark brainliest to whoever does all the work.
A basket contains:
4 red Santa hats
6 green Elf hats
5 red jackets
7 green jackets.
Determine the probability of randomly selecting a green piece of clothing or a jacket.
(A)Use the addition rule to calculate this probability and explain your answer.
Do this equation P(AorB)=P(A)+P(B)-P(A and B)
(Write your answer as a percent.)
(B) are a green piece of clothing and a jacket mutually exclusive events?
Answers
Explanation/Answer:
Total: 4 + 6 + 5 + 7 = 22
Green: 6 + 7 = 13
Probability: 13/22
Note: It Is Not Mutually Exclusive Events
Whta is the geometric mean of 5 and 36
Answers
Step-by-step explanation: 2 × 18 = 36. Then (as there are two numbers) take the square root: √36 = 6. this is for 36
Answer: 13
Step-by-step explanation:√(5 × 36) = 13.416407865
What is the sales tax on a jacket priced at $275 if the sales tax rate is 7%?
Answers
-9=-12+b
What is the equation?
Answers
Answer:
The answer is 3 because you have to add 12 to both sides to isolate b.
Step-by-step explanation:
THE EQUATION IS -9=-12+b.
A pet shop offers an iguana for $80 and a parakeet for $40. During a sale, Chris bought the iguana at a 40% discount and the parakeet at a 55% discount. The total amount saved on Chris's new pets was what percent of the total of their original prices?
Answers
Answer:
He save 55$+50$ which is 105$
Step-by-step explanation:
total for iguana is 135$ and parakeet is 90$
= 225$
Katie has $150 in her savings account.
She wants to buy a new iPad that
costs $375. How many weeks will it
take her to have enough to buy the
iPad if she saves $25 each week?
Answers
Answer:
9
Step-by-step explanation:
375 - 150 = 225
225 / 25 = 9
Answer:
I believe the answer would be 9 weeks
For the following inequality, find a solution for the variable. Show all of your work and use complete sentences to explain the solving process that you used to find a solution for the inequality. Be sure to include at least two terms from the word bank
1/4 x \leq -3
Answers
Answer:
x<=-12
Step-by-step explanation:
1/4x<=-3
*Multiply both sides by 4
x<=-12
and it's solved :)
Suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(x ≥ 72)?
A. 0.84
B. 0.975
C. 0.025
D. 0.16
Answers
Approximately 65% of the distribution lies within one standard deviation of the mean, which is to say,
P(72 ≤ x ≤ 86) ≈ 0.65
Normal distributions are symmetric, so the percentage of values one standard deviation below the mean is equal to the percentage of values one standard deviation above the mean.
P(72 ≤ x ≤ 79) = P(79 ≤ x ≤ 86)
but since the sum of these make up P(72 ≤ x ≤ 86), we find
P(72 ≤ x ≤ 79) ≈ 0.65/2 = 0.325
Also due to symmetry, exactly half of the distribution lies to either side of the mean; namely,
P(x ≥ 79) = 0.5
It follows that
P(x ≥ 72) = P(72 ≤ x ≤ 79) + P(79 ≤ x)
P(x ≥ 72) = 0.325 + 0.5
P(x ≥ 72) = 0.825 ≈ 0.84
Answer: 0.84
Step-by-step explanation:
evaluate the expression for h= -6.
Answers
Answer:
63-|-6| = 57
Step-by-step explanation:
63-|-6|
63-6
57
Answer:
57
Step-by-step explanation:
Substitute -6 for variable h.
[tex]63-|(-6)|\\63-6\\57[/tex]
58. What is the equation that best represents the graph (0,5) (3, 3) (6, 1)
Answers
Hope this helps!
After eating 75% of the chocolates in a box, Dev found 6 chocolates remaining. How many chocolates were there in the box originally?
Answers
Answer:
24
Step-by-step explanation:
Let total number of the chocolates be x.
25% of x = 6 (because 100 - 75 = 25% of chocolates left).
25/100 x x = 6
x = 600/25
x = 24
Hence, 24 is the total amount of chocolates.
Hope it helps :)
Please look for the question in the picture.
Answers
Answer:
I beleive the missing value is -3
Step-by-step explanation:
if you plug -3 into the pink box it will give you the result of -5
(anyone is free to correct me)
For this item, complete the choice matrix by clicking the appropriate answer in each row.
Determine whether each unit rate is equivalent or not equivalent to
Equivalent
Not Equivalent
the unit rate, in inches per year, of growing inch in Ğ of a year
the unit rate, in lessons per hour, of finishing of a lesson in hours
the unit rate, in miles per hour, of jogging 1/8 mile in 3/8 hour
Answers
Step-by-step explanation:
1/2 inch in 2/3 of a year
1/2 / 2/3 = 1/2 × 3/2 = 3/4
NOT equivalent.
4/9 lesson in 4/3 of an hour
4/9 / 4/3 = 4/9 × 3/4 = 12/36 = 1/3
Equivalent.
1/8 mile in 3/8 of an hour.
1/8 / 3/8 = 1/8 × 8/3 = 8/24 = 1/3
Equivalent.
PLEASE HELPPPPP
Write the equation of the circle in standard form from the given information. Show all work.
Center (0,0)
Diameter = 14
Answers
I need the anwser to this right now please
Answers
Answer:
b. 9
Step-by-step explanation:
2+9=11
11+11=22
22+6=28
(3+3)-28 = 22
that leaves the other side having to be 11 on each so
2+9= 11
Answer for brainliest
Answers
If this is what your looking for, the answer may be:
-4y + 12
Hope this helps!
A basketball player made 80 out of 100 attempted free throws what percent of free throws was made ?
Answers
Answer:
8/10
Step-by-step explanation:
id hope your have a great day
Answer:
80%
Step-by-step explanation:
80÷100=.8 which is 80%
Suppose a special discount makes the price of Nike air max shoes 10% lower. As result, there is a 20% increase in the quantity demanded for the shoes, which statement is correct ____?
Answers
It is evident from the problem statement that an overall price reduction of Nike air max shoes will lead to an increase in the demand for the shoe.
In Economics, the relationship between price and demand is stated as follows "If all other factors remain equal, the higher the price of a good, the fewer people will demand that good. In other words, the higher the price, the lower the quantity demanded and vice versa."
In all, the Law of Demand tells us that if more people want to buy something, given a limited supply, the price of that thing will be bid higher, also of the price of something is low the demand will be high.
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