Answer:
The ball will take 8.90 seconds to hit the ground.
Step-by-step explanation:
The height of a ball after t seconds is given by:
[tex]h(t)=40t-5t^2[/tex]
Determine how long will the ball take to hit ground level. Since the gound is 40 meters below the throwing point:
[tex]40t-5t^2=-40[/tex]
Rearranging:
[tex]5t^2-40t-40=0[/tex]
Simplifying by 5:
[tex]t^2-8t-8=0[/tex]
Solving the quadratic equation with the formula:
[tex]\displaystyle t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
With a=1, b=-8, c=-8
[tex]\displaystyle t=\frac{8\pm \sqrt{64+32}}{2}[/tex]
[tex]\displaystyle t=\frac{8\pm \sqrt{96}}{2}[/tex]
There are two solutions:
t=8.90 sec, t=-0.90 sec
Due to the nature of the problem, t cannot be negative, thus:
The ball will take 8.90 seconds to hit the ground.
order 0.0509km , 60.5 m and 5700cm
Answer: 0.0509km 60.5m 5700cm
Greatest to least
Step-by-step explanation:
consider the equation 8x+4y=64
where does the graphs intersect the x-axis ?
provide the coordinate point below ( , )
Choose the correct solution in roster form.
1. S is the set of prime numbers that are less than 15
A.{2,3,5,7,11,13}
B.{2,3,5,7,9,11,13}
C.{1,3,5,7,9,11,13}
D.{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}
2.write the solution to the inequality in set-builder notation.
9t-4>32
A.{t| t>4}
B.{t| t>6}
C.{t| t>28}
D.{t| t>36}
Answer:
1)A.{2,3,5,7,11,13}
2) A.{t| t>4}
Step-by-step explanation:
Choose the correct solution in roster form.
1. S is the set of prime numbers that are less than 15
The Definition of a prime number is given as follows:
A prime number can be defined as the number number that can only be divisible of divided by 1 and itself
Hence the list of prime number below 15 is given as:
2, 3, 5, 7, 11 and 13
Hence, option A.{2,3,5,7,11,13} is correct
2. Write the solution to the inequality in set-builder notation.
9t-4>32
Solving for the given inequality
9t > 32 + 4
9t > 36
t >36/9
t > 4
Therefore, the solution to the inequality in set-builder notation is:
Option A.{t| t>4}
Hamzah the fantastic, hot or nah?
Please help me out with this!
The area of a square is 49 units.What is the perimeter of the square?
Answer:
28
Step-by-step explanation:
If an area of a square is 49 units that means the length and the width are 7 units. Since a square has 4 sides that means 7*4=28. So there are 28 units.
help pleasee im not smart
|-13| = ?
According to the rules of significant figures, what is the correct answer to 3.4 x 5
A. 20
B. 17
C. 10
14. On March 1 Tessa Obee deposited her IRS refund check for $9,364.85 in a savings account at State Bank. The account pays 4 percent interest calculated on a daily basis. Five days later on March 6 she withdrew $1,000.00. On March 18, 12 days later, she withdrew $2,000.00. On March 28, 10 days later, she withdrew another $2,000.00. Three days later on March 31 interest was computed. How much simple interest did her money earn?
Answer:
Her money earned a simple interest of $24.55.
Step-by-step explanation:
Since Tessa deposited $9364.85 and she gets 4% interest on daily basis, then before she withdraws $1000 after 5 days, she must've gotten an interest of:
9364.85 x 4% × (5/365) ≈ 5.13
After withdrawing $1000, she has $8364.85. If this remains in the account for 12days, as we have in the question, then the interest on that will be:
8364.85 x 4% × (12/365) ≈ 11.00
After withdrawing $2000, she has $6364.85. If this remains for 10days, her interest would be:
6364.85 x 4% × (10/365) ≈ 6.98
After withdrawing $2000, she has $4364.85. If this remains for 3days, her interest would be:
4364.85 x 4% × (3/365) ≈ 1.44.
In totality, her interest would be: 5.13 + 11.00 + 6.98 + 1.44 = 24.55.
Hence, her money earned a simple interest of $24.55.
Find the zeros of the function. Enter the solutions from least to greatest.
f(x) = (x+6)^2 - 49
lesser x=
greater x =
Answer:
Lesser x is -13.
Greater x is 1.
Step-by-step explanation:
We have the function:
[tex]f(x)=(x+6)^2-49[/tex]
And we want to find the zeros of the function.
So, set f(x) to 0 and solve for x:
[tex](x+6)^2-49=0[/tex]
Add 49 to both sides:
[tex](x+6)^2=49[/tex]
Take the square root of both sides. Since we're taking an even root, we will need plus/minus:
[tex]x+6=\pm 7[/tex]
Subtract 6 from both sides:
[tex]x=\pm7-6[/tex]
Evaluate for each case:
Case 1; 7 is positive:
[tex]x=7-6=1[/tex]
Case 2; 7 is negative:
[tex]x=-7-6=-13[/tex]
So, our zeros are:
[tex]\{x|-13, 1\}[/tex]
Our lesser x is -13, and our greater x is 1.
And we're done!
if f(x) = -3x - 2; Find f(x)
x=-1/2
Step-by-step explanation:
if you want explanation let me know?
please can you help
i need it badly
Answer:
8
Step-by-step explanation:
Factors of 32: 1, 2, 4, 8, 16, 32Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72The greatest factor listed in all three is 8. Therefore, 8 is the GCF (greatest common factor) of 32, 48, and 72.I hope this helps!
Answer:
8 would be your answer
Serena's book collection contains 23 fiction books and 4 non-fiction books part to part or part to whole ratio
Step-by-step explanation:
that's a part to part ratio
draw diagnose AC and BD on parallelogram ABCD. Make a point where the diagonals intersect, and label it E. Measure and record the lengths of the four line segments you just create
Answer:
AE = 2.5
BE = 1.5
CE = 2.5
DE = 1.5
Step-by-step explanation:
it's plato's answer
Answer:
AE = 2.5
BE = 1.5
CE = 2.5
DE = 1.5
Step-by-step explanation:
plato
Evaluate the expression: (16 ÷ 4)3 – 6 The solution is _____.
Answer:
The answer is 6
Step-by-step explanation:
To solve this expression you use PEMDAS
16÷4=4
4×3=12
12-6=6
Answer:
(16/4)3 - 6 = ?
=> (16 * 3/ 4 * 3) - 6 = ?
=> (48 / 12) - 6 = ?
=> 4 - 6 = ?
=> -2 = ?
Therefore, (16/4)3 - 6 = -2
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
Math minute I need help with all questions I hav 4 minutes
Answer:
can you he lp me
Step-by-step explanation:
Answer:
1. 0.019
2. 4-28
3. 4
4. 6:00
5. 6
6. 16
7. 7
8. >
9. <
10. >
Filo earns $8 per hour, but he buys lunch for $5. How much money does he have left after he works x number of hours a day? Write an equation to model the problem. If Filo works for 6 hours, how much money will he take home that day? Show all work.
Answer:
8x-5
Step-by-step explanation:
8$ per hour and he works 6 hours gives you 48$. Since he buys lunch, take away 5 from 48 and youll get 43$. Filo will take 43$ home.
The prediction equation y = 5.92x + 119.21 models the median selling price, in thousands of dollars, of new homes in a certain area since 1995. Predict the median selling price in 2015.(Do not separate the numbers
Answer:
$237.61Step-by-step explanation:
given that the function to predict the price is
y = 5.92x + 119.21
x= the number of year,
given that we are predicting from 1995-2015
the difference is 20years
So put x=20 in the expression we have
y = 5.92(20) + 119.21
y=118.4+119.21
y=237.61
the median price is $237.61
what's the big number 1.5 or 15
Answer:
15 is bigger
Step-by-step explanation:
1.5 is smaller
Answer:
15
Step-by-step explanation:
0.00581 in scientific notation
Answer:
5.8 × 10-3
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
. Maggie is participating in her school reading challenge. She reads 40 books, 26 of which are fiction. What percent of the books that she read are fiction?
ASAP!!!
Answer:
65%
Step-by-step explanation:
26/40 x 100= 65%
hope this helps!
Can someone please help me asappp I’ll mark brainlist !!!
Answer:
D. y = 76x
Step-by-step explanation:
First you find the gradient, by using the gradient formula
rise over run
380 - 228
---------------- <- division sign
5 - 3
152/2 = 76
Hence y = 76x + c
Find c by subbing points in. I am going to use this as an example (5, 380)
380 = 76(5) + c
380 -380 = c
c = 0
Hence, y = 76x
EXTRA POINTS* how do you graph a fraction? for example slope= 1/2, y-intercept: -2 how do you graph this
Answer:
Because of the y intercept, you would first plot a point at (0,2). This means that you would put the point when x does not from the origin (middle of the lines) and 2 points up from it. After, for every 2 points going to the right, you go only 1 up on y. This is because the slope is 1/2. I recommend you watch Khan Academy.
Step-by-step explanation:
One week, Brooklyn earned $179.30 at her job when she worked for 11 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $244.50?
Answer:
15 hours
Step-by-step explanation:
By dividing $179.30 by the 11 hours she worked, we know that she makes $16.30 per hour. By using that same wage, we can take her goal earnings of $244.50 and divide it by her wage.
$244.50/$16.30 = 15 hours.
Hope this helps!
Answer:
15 hours
Step-by-step explanation:
By dividing $179.30 by the 11 hours she worked, we know that she makes $16.30 per hour. By using that same wage, we can take her goal earnings of $244.50 and divide it by her wage.
$244.50/$16.30 = 15 hours.
Hope this helps!
Given the equations are x=6 and y=-8 parallel perpendicular or neither
if you know the CORRECT ANSWER please help me out
Answer:
C
Step-by-step explanation:
Answer: a
Step-by-step explanation:
On a map, 1 inch equals 6 miles. Two cities are 7.5 inches apart on
the map. What is the actual distance between the cities?
I really need help
HELP PLEASE!!!!! 50 POINTS!!!!!!!!
Which of the following graphs could be the graph of the function f(x)= -0.08x(x^2-11x+18)?
Answer:
see below
Step-by-step explanation:
f(x)= -0.08x(x^2-11x+18)
Factor
f(x)= -0.08x(x-9)(x-2)
Using the zero product property to find the zeros
0= -0.08x(x-2)(x-9)
-0.8x =0 x-2 =0 x-9 =0
x=0 x=2 x=9
Multiply out
f(x) = -0.08 x^3 + 0.88 x^2 - 1.44 x
The highest power is x^3
f(-∞) = -0.08( -∞)^3 = - ( -∞) = ∞
As x goes to -∞ f(x) goes to +∞
f(∞) = -0.08( ∞)^3 = - ( ∞) = -∞
As x goes to ∞ f(x) goes to -∞
Answer:
Option C or the third graph is the correct choice
Edg 2020
127 39 + 2Y = 4 for y = 3.
Answer:
use calculator soup. com
Step-by-step explanation:
this will help u
I really need help pls can anyone help me I would be so grateful if you help me
Answer:
the image is blurry
Step-by-step explanation:
sorry but the image is not full visible because it is blurry:(