Answer:
3.0 seconds
Step-by-step explanation:
i took the test.
The time it takes the rock to reach 50 feet on its way down is 13.2 seconds and option B is the correct answer.
We have,
We are given the equation for the height of the rock as it travels upward and then downward:
h = -1672 + 63.2t - 4.9t²
We want to find the time it takes for the rock to reach a height of 50 feet on its way down.
This means we need to solve for t when h = 50:
50 = -1672 + 63.2t - 4.9t²
Rearrange the equation to isolate the quadratic term:
4.9t² - 63.2t + (1672 + 50) = 0
4.9t² - 63.2t + 1722 = 0
For an equation of the form "ax² + bx + c = 0", the solutions for "x" are given by:
x = (-b ± √(b² - 4ac)) / 2a
In your equation, the coefficients are:
a = 4.9
b = -63.2
c = 1722
Plugging these values into the quadratic formula:
t = (-(-63.2) ± √((-63.2)² - 4 * 4.9 * 1722)) / (2 * 4.9)
Now, let's calculate the discriminant (the value inside the square root):
Discriminant = (-63.2)² - 4 * 4.9 * 1722 ≈ 39884.96 - 33529.6 ≈ 6355.36
Since the discriminant is positive, there are two distinct real solutions for "t".
Now, plug the discriminant back into the quadratic formula and solve for "t":
t = (63.2 ± √6355.36) / 9.8
Now, calculate the square root of the discriminant:
√6355.36 ≈ 79.58
Now, plug in the values for "t":
t₁ = (63.2 + 79.58) / 9.8 ≈ 13.02
t₂ = (63.2 - 79.58) / 9.8 ≈ -1.69
So, the solutions for the equation 4.9t² - 63.2t + 1722 = 0 are approximately:
t₁ ≈ 14.61
t₂ ≈ -1.69 (rejected)
Thus,
The time it takes the rock to reach 50 feet on its way down is B. 13.2 seconds.
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giving all my points
k can someone pls answer this cus I need the answer PER student
For a field trip, a bus company charges a flat fee plus an additional fee per student. For 25 students, the total cost is $132.50. If there are 30 students, the total cost is $145.00. After the flat fee, what is the cost per student?
$4.75
$5.30
$2.50
$3.00
-5 (-4p-3)>-105
can i get some help on that?
Answer:
p>-6
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
20p+15>−105
Step 2: Subtract 15 from both sides.
20p+15−15>−105−15
20p>−120
Step 3: Divide both sides by 20.
20p/20 > -120/20
p>-6
Answer:
p > -6
Step-by-step explanation:
-5(-4p-3) > -105
First, multiply out the left side to get:
20p+15 > -105
Then take fifteen away from both sides to get:
20p > -120
Then divide both sides by twenty to get:
p > -6
HELPPPPPPP PLSSS!!!!!!!!!!!!!!!!!!!
solve 15 + ( - 15) =
Answer:
0
Step-by-step explanation:
see photos attached
blah blah
When using substitution to solve this system of equations, what is the result of the first step x=y+1 4=2x+3y
The output of a function is 7 more than 2 times the input. Write and solve an equation to find the input when the output is 15
Equation:
Solution:
Answer:
f(x) = 2x + 7
f(15) = 2(15) + 7 = 30 + 7 = 37
help solve the problem .
What is 9(-7)?
I don't even know this
-63. Hope this helps!
Can have brainliest?
Answer:
-63
Step-by-step explanation:
If you know how to multiply it without the negative then you could take that answer and then put a negative at the beginning.
Whoever answers I’ll mark brainliest!
Answer:
hi
Step-by-step explanation:
i think it is equilaterial triangle
hope it helps :)
3. At the beach, you would like to fill 5 buckets with seashells. You have
8 minutes to do so. If you set a steady pace, how much of a bucket
should
you
fill in each minute?
A. bucket
B. į bucket
c. bucket
D. buckets
Answer: It will be D
Step-by-step explanation: 5 divided by 8 is 1.2
HELP LAST ATTEMPT !?!!
Answer:
x=11
Step-by-step explanation:
35=3x+2 [Vertically opposite angles]
35-2=3x
x=33/3
x=11
1. John has 2 options to use gym facilities in his community.
Plan A:
$3 hourly rate.
Plan B:
$2 hourly rate plus $2 entrance fee per visit during off peak hours.
$4 hourly rate with discount $1 per visit during peak hours.
If John chooses plan A, how many hours he has to use the gym facilities per trip,
a. during off peak hours
b. during peak hours
in order to make his payment cost effective (Payment to be lower than plan B). Give a
conclusion for questions above.
Answer:
B
Step-by-step explanation:
because its even better when u see it be doing math
Review the federal income tax table.
Single
If Taxable Income Is between: Then the Tax Due Is:
$0 – $9700 10% of taxable income
$9701 – $39,475 $970+12% of the amount over $9700
$39,476 – $84,200 $4543+22% of the amount over $39,475
$84,201 – $160,725 $14,382.50+24% of the amount over $84,200
$160,726 – $204,100 $32,748.50+32% of the amount over $160,725
$204,101 – $510,300 $46,628.50+35% of the amount over $204,100
$510,301+ $153,798.50+37% of the amount over $510,300
Mustafa earned $95,000 in taxable income in a year from his job as a software developer. How much federal income tax does he owe? Enter your answer as a number rounded to the nearest cent, such as: $42,536.47.
9514 1404 393
Answer:
$16,974.50
Step-by-step explanation:
$14,382.50+24% of the amount over $84,200 is ...
$14,382.50 +0.24×(95,000 -84,200) = $14,382.50 +2592.00 = $16,974.50
Mustafa owes $16974.50 in federal income tax.
_____
Additional comment
Each row of the tax table can be simplified by multiplying out the expression it describes. For the row applicable to this problem, that becomes ...
14382.50 +0.24(amount -84200) = 14382.50 +0.24×amount -20208
= 024×amount -5825.50
Mary decided she will run every 3rd day and play
tennis every 5th day. How many days until she will
run and plays tennis on the same day?
Answer: the 15th day
Step-by-step explanation:
Skip count by both numbers until you reach the first number they have
in common;
3, 6, 9, 12, 15, 28, 21, 24, 27, 30
5, 10, 15, 20, 25, 30, 35, 40
find the y-intercept of the parabola y=x^2-5x+9/2
Answer:
To find the Y-intercept substitute in 0 for all the x's and solve for Y
Your answer would be (0,9/2)
Steps:
Y=0^2-5(0)+9/2
0^2 -5(0)=0
Y=9/2
0 is your x place
and 9/2 is your Y intercept
Answer:
y-intercept = 9/2 or 4.5
Step-by-step explanation:
In the given quadratic equation, y = x² - 5x + 9/2, where:
a = 1, b = -5, and c = 9/2
The y-intercept is the point at which the parabola crosses the y-axis, and occurs at point (0, c ). It is the value of y when x = 0. To find out what I mean by this, we can substitute the value of x = 0 into the quadratic equation:
y = x² - 5x + 9/2
y = (0)² - 5(0) + 9/2
y = 0 - 0 + 9/2
y = 9/2
Therefore, the y-intercept (c) = 9/2, and has coordinates, (0, 9/2) or (0, 4.5).
Attached is a screenshot of the graph, where it shows the y-intercept.
Please mark my answers as the Brainliest, if you find my explanations helpful :)
PLS ANSWER NOW GIVING BRAINLIEST TO FIRST PERSON TO ANSWER
Write 1,340 in scientific notation
Answer:
1.34 × 10^3 is the answer
Answer:
Ok
Step-by-step explanation:
Write an equation in point-slope form for the line that passes through the given points.
(4,−6), (6,−4)
Answer:
y=x-10
Step-by-step explanation:
slope equal to
[tex]m = \frac{ - 4 - ( - 6)}{6 - 4} = \frac{2}{2} = 1[/tex]
y=mx+c(constant)
-6=1×4+c, then c=-10
Amanda's average grade on a set of five test was 88%. She can remember only that the first four grade were 78%, 86%, 96%, and 94%. What was the grade on her fifth test ?
Answer:
I think the answer is 92%.
Find the surface area and volume of the solid. Round your answers to the nearest hundredth.
Answer:
Surface area = 240.34 square units
Volume = 253.03 cubic units
Rectangular prism
Step-by-step explanation:
2(6.8 * 6.1) + 2(6.1 * 6.1) + 2(61 * 6.8) =
82.96 + 74.42 + 82.96 = 240.34
Volume
(6.8 )(6.1)(6.1) = 253.03
a patio furniture set sells for $935 on installment plan, which includes finance charge the payment plan calls for 15 percent down and the balance in 12 equal paymnets. the ampount of the payment is
The monthly payment for the patio furniture will be $66.23
Cost of the patio furniture = $935
Since there's a 15% down payment, then the amount that the buyer will pay will be:
= 15% × $935
= 0.15 × $935
= $140.25
Therefore, the amount that is left to pay will be:
= $935 - $140.25
= $794.75
Since the balance will be paid for 12 months, the monthly payment will be:
= $794.75 / 12
= $66.23
Read related link on:
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Answer:
$66.23
Step-by-step explanation:
See tutor response above
Jose has scored 533 points on his math tests so far this semester. To get an A for the semester, he must score at least 616 points. Part 1 out of 2 Enter an inequality to find the minimum number of points he must score on the remaining tests in order to get an A. Let n represent the number of points Jose needs to score on the remaining tests.
Answer:
The answer is 612-533=n
The heights of male seniors in high school closely follow a normal distribution N(µ,σ) = N(70.5,2.6) , where the units are inches. a) If we randomly sample the heights of five male seniors, what distribution should the sample mean follow? Give your answers to two decimal places.
The sample will also be normally distributed, with same mean as the population, so µ = 70.5, but the standard deviation would be divided by the square root of the sample size, so σ = 2.6/√5 ≈ 1.16.
N(70.5, 1.16)
The sample will also be normally distributed, with the same mean as the population(µ = 70.5) and the standard deviation of 1.16 inches.
What is a normal distribution?A normal distribution is a probability distribution that is used to represent events with a default behaviour and accumulated potential departures from it.
As it is given that the heights of male seniors in high school closely follow a normal distribution N(µ,σ) = N(70.5,2.6), where the units are inches.
Therefore, the mean will be the same (µ = 70.5), but the standard deviation for the sample size of the heights of five male seniors, can be written as,
[tex]s=\dfrac{\sigma}{\sqrt n} = \dfrac{2.6}{\sqrt5} = 1.16[/tex]
Hence, The sample will also be normally distributed, with the same mean as the population(µ = 70.5) and the standard deviation of 1.16 inches.
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Ruby has $130 saved. She is saving $15 dollars more each week. In how many weeks will she have $400 saved to buy the new phone she wants?
You answer is In 18 weeks he'll have the $400 for the new phone.
I know this because she needs 400 but already has 130 so (400-130=270)
This means that Ruby is missing 270 to get to the 400 that he needs for the phone.He gets $15 per week so now that's (270/15=18).Which means that in 18 weeks Ruby will complete to full $400 that he needs for a new phone.
The required solution of weeks will she have $400 saved to buy the new phone she wants is 18 weeks.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Ruby has $130 saved. She is saving $15 dollars more each week.
According to given question we have
let x represent the number of weeks
she saves $15 each week,
then in x weeks she will save = 15x dollars.
Add this to the 130 she has already saved, and at the end of each week we get
15x + 130dollars.
So,
15x + 130 = 400
Subtract 130 from both sides we get
15x-130+130=400-130
15x=270
Divide by 15 on both sides we get
x=18
Therefore, the required solution of weeks will she have $400 saved to buy the new phone she wants is 18 weeks.
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ANSWER QUICK PLEASE!!
Factor the expression 24 y - 40 using the greatest common factor of the terms.
A. 4(6y - 20)
B. 8(3y - 5)
C. 4(24y - 40)
D. 8(3y + 5)
Answer:
Step-by-step explanation:
B
Walmart sells a 40-ounce jar of peanut butter for $5.58
What is the Unit Price?
I need help, plzzzzzzzzzz 10 points
Answer:
D. 2 1/4 per hour
Step-by-step explanation:
Hope this helps also give me brainliest lol.
y is dirrctly propotional to ∛x y=1 1/6 when x=64. Find the value of y when x=64
9514 1404 393
Answer:
1 1/6
Step-by-step explanation:
This appears to be a reading comprehension test.
The problem statement gives you the value of y when x=64, then asks you the value of y when x=64. The answer will be the given value:
y = 1 1/6
Players
Amount
Paid
The table above represents the number of people in a group who played laser tag and the group's total cost to play. Which of the
following represents the rate of change relative to this situation?
Answer:
C. 4.00 per person
Step-by-step explanation:
I say its 4.00 per person because in each row you mutiply the players and 4.00 you get the other side of the row. Ex 11 players multiplied by 4 dollars per person equals 44.00 dollars in total which the graph shows.
HELP ASAP!!!!!!!!!!!!!!
Answer:
10
Step-by-step explanation:
just try to make the lines even and get the answer 10
Answer:
the answer is √89........
...
What is the answer for number 5
Step-by-step explanation:
The answer is 3 pls mark me as brainliest
