Answer:
[tex]6y^2(3x^2-4x+6)[/tex]
Step-by-step explanation:
I'm assuming that you wanted us to factor the equation.
[tex]18x^2y^2 - 24xy^2+36y^2\\= 6y^2(3x^2-4x+6)[/tex]
The function within the parentheses doesn't factor anymore. Hope this is what you needed!
Davis hit a baseball from a height of 3 feet above the ground at an angle of 24 degrees with the horizontal at an initial velocity of 110 feet per second. How far will the ball travel before it hits the ground?
8. Write a parametric equation for the flight of the ball.
9. Find the maximum height of the ball.
10. How many feet did the ball travel horizontally before it hit the ground?
Answer:
The ball travel horizontally before it hit the ground is 34.22 feet.
Step-by-step explanation:
Given that,
Height = 3 feet
Angle = 24 °
Initial velocity = 110 feet/s
We need to write a parametric equation for the flight of the ball
Using given data
[tex]r(t)=u\cos\theta\times t\hat{i}+(h+(u\sin\theta)t-\dfrac{1}{2}gt^2)\hat{j}[/tex]
Put the value into the formula
[tex]r(t)=110\cos24\times t\ i+(3+110\sin24\times t-\dfrac{1}{2}32t^2)j[/tex]
[tex]r(t)=100.4t(i)+(3+44.7t-16t^2)j[/tex]
Now, on differentiating w.r.to t
[tex]v(t)=100.4i+(44.7-32t)j[/tex]....(I)
We need to calculate the time
Using equation (I)
If y'(t)=0, then the ball will be at maximum height
So, [tex]y'(t)=44.7-32t[/tex]
Put the value of y'(t)
[tex]44.7-32t=0[/tex]
[tex]t=\dfrac{44.7}{32}[/tex]
[tex]t=1.4\ sec[/tex]
We need to calculate the maximum height
Using equation of motion
[tex]y(t)=h+ut-\dfrac{1}{2}gt^2[/tex]
Put the value into the formula
[tex]y(1.4)=3+44.7\times1.4-16\times(1.4)^2[/tex]
[tex]y(1.4)=34.22\ feet[/tex]
Hence, The ball travel horizontally before it hit the ground is 34.22 feet.
Type the correct answer in the box.
x
The value of log,5
10828 15
Answer:
190.3
Step-by-step explanation:
190.3 I multiplied sorry if incorrect
Which expression is equivalent to 5y^3/(5y)^-2?
a. y^5
b. y^6
c. 125y^3
d. 125y^5
Answer:
I think the answer is D.
Step-by-step explanation:
[tex] \frac{ {5y}^{3} }{ {(5y)}^{ - 2} } \\ = \frac{ {5y}^{3} }{ {(\frac{1}{5y})}^{2} } \\ = {5y}^{3} \times {25y}^{2} \\ = 125 {y}^{5} [/tex]
What is the reasoning for number 4?
Answer:
Side-Angle-Side (ASA) Congruence Postulate
or
Side-Side-Side (SAS) Congruence Postulate
Step-by-step explanation:
Side MU is congruent to side SE and MS is congruent to side UE (Also stated in 2.). And Angle MSE is congruent to angle MUE and Angle SMU is congruent to angle SEU. (As said in 3.)
Take a look at the image. You could use the SAS postulate or the SSS congruence postulate, both of them are correct and will lead you to the correct answer.
Lmk if you need help on the rest
Please remmeber to mark brainliest!
Write the addition equation as a multiplication equation. 8 x 8 x 8 = 24
Answer:
8+8+8=24
Step-by-step explanation:
The answer is 8+8+8 because 8×3=24 and you would have to write 8 , 3 times. If you get what I mean.
Which expression is equivalent to this polynomial? x2 + 8
Answer:
D
Step-by-step explanation:
got it right on plato
Question 1
25 pts
Identify the applications that involve percentages. SELECT ALL THAT APPLY.
Sales Tax
Retirement
Income
Original Sale Price
Loans
Commission
Income Tax
The applications that will involve percentages include:
Sales TaxOriginal Sale PriceCommissionIncome TaxWhich applications involve percentages?Sales tax will involve percentage because the sales tax percentage will be needed to calculate the sales tax. The same goes for the income tax.
Commissions also involve percentages as the commission is a percentage of sales. The original sales price can only be acquired by using the discount or markup percentage applied to it to get the current sales price.
Find out examples of commission percentages at https://brainly.com/question/24951536.
HELP PLZZZ. In an indirect proof, you prove an if- then statement is true by assuming the statement is false then disproving the false statement. You want to prove the statement below in an indirect proof. What statement should you prove false.
Statement to prove true: if a figure has exactly three sides,then it is a triangle.
Statment to prove false:???
Answer:
If a figure is a triangle, then it has three sides.
Step-by-step explanation:
You just flip the if then statement around.
What is the rate of change of the function whose graph is a line passing through (3, 5) and (−1, 5)?
9514 1404 393
Answer:
zero
Step-by-step explanation:
The y-coordinates of the two points are the same, so the line through them is a horizontal line. There is no vertical change for any amount of horizontal change. The "rate of change" is 0.
Represent 0.7 pictorially
Refer to the attachment .
I need help with this problem ASAP!
Answer:
aye down load the app Socratic
Step-by-step explanation:
just take a picture and it will show you the answers
by rounding to one significant figure 615 x 38
Answer:
20000
Step-by-step explanation:
An artist makes a scale drawing of a parallelogram-shaped sculpture. The scale is 10 cm on the drawing for every 8 meters on the sculpture. What is the area of the scale drawing? Show your work.
Answer:
10 × 8
=80
therefore it takes 80 metre area
PLEASE HELP!!!! A boat can travel at an average speed of 10 miles per hour in still water. Traveling with the current, it can travel 6 miles in the same amount of time it takes to travel 4 miles upstream.
Answer:
2 mphStep-by-step explanation:
Let the speed of current be x
Speed of the boat in same direction as current is
10 + xSpeed against the current is
10 - xBased on the given we get the equation for time
6/(10 + x) = 4/(10 - x)Solving for x
6(10 - x) = 4(10 + x)60 - 6x = 40 + 4x6x + 4x = 60 - 4010x = 20x = 2The answer is 2 mph
Answer:
6/(10-x) = 4/(10+x)
9325 cm is equal to how many meters?
Answer:
93.25
Step-by-step explanation:
One meter = 100 cm
9300 divided by 100 = 93 + 0.25 = 93.25
The conversion of the given measurement of 9325 cm to meters is gotten as; 93.25 meters
How to convert Centimeter to meter?There are different units in mathematics to convert. However, in this case, we want to convert centimeters to meters.
Now, the conversion rate here is;
100cm = 1m
Thus, to convert 9325 cm to meters we will just divide it by 100.
Thus;
9325 cm = 9325/100 = 93.25 meters
Read more about unit conversion at; https://brainly.com/question/6560055
PLEASE HELP WITH THIS
Answer:
B
Step-by-step explanation:
The question can be written is
5^x = 75
Now take the log of both sides.
log(5x) = log(75) Bring the x outside the brackets
x log(5) = log(75) Divide by log 5
x = log(75)/log(5)
log 75 = 1.8751
log 5 = .8990
x = 1.8751/.8990 = 2.6826
Answer:
(b) 2.68
Step-by-step explanation:
Your question has a link to a suitable calculator. All you need to do is make use of it. It tells you log₅(75) ≈ 2.68.
__
Other ways to look at the problem
If you recall that a logarithm represents an exponent of the base, you can ask yourself, what power 5 must be raised to in order to get 75. You know that 5^2 = 25, and 5^3 = 125, so the power will have to be between 2 and 3. There is only one answer choice in that range: 2.68.
__
The rules of logarithms let you rewrite the given expression as ...
log₅(75) = log₅(3×5²) = log₅(3) +2·log₅(5) = log₅(3) +2
The log₅ of any number between 1 and 5 will be a positive fraction, so this sum must be between 2 and 3.
E = {m, a, t, h}
The possible subsets of set S are;
Four
Three
Elements Elements
{m, a, t, h} {m, a, t}
{m, a, h}
{m, t, h
{a, t, h
Zero
Element
{ } or Ø
Two
Elements
{m, a}
{m, t}
{m, h}
{at}
{a, h)
{t, h
One
Element
{m}
{a}
{t}
{h}
Answer:
Step-by-step explanation:
dcfrbfirpfbrpifurghfpirfuh
The total distance an ant crawls varies directly with the time in seconds. The ant crawls a total distance of 160 centimeters in 20 seconds.
What is the time in seconds the ant crawls when the total distance is 216 centimeters?
8 s
11 s
25 s
27 s
Answer:
27
Step-by-step explanation:
I did the math ;-;
A collector has 50 movie posters and 40 band posters. She wants to sell 25 movie
posters but still have her poster collection maintain the same ratio of 50:40. If she
sells 25 movie posters, how many band posters should she sell? Complete the
explanation to find out how many band posters she should sell.
if three apples cost 45 rupees how much with 5 apples cost?
if 3 apples cost 45 rupees
1 apple costs 45 : 3 = 15 rupees
how much with 5 apples cost?
5 x 15 = 75 rupees
Answer:
75 rupees
Step-by-step explanation:
Given:
3 apples cost 45 rupees
To Find:
How much with 5 apples cost
Solve:
if 3 apples cost 45 rupees
Since 3 apple cost 45
Thus, Find the cost of 1.
45 ÷ 3 = 15 rupees
Now,
5 x 15 = 75
Thus, 5 apples cost 75 rupees.
~Learn with Lenvy~
Use the compound interest formula to compute the total amount accumulated .
$1060 for 5 years at 7% compounded annually
Answer:
1486.7
Step-by-step explanation:
1060*(1+0.07)^5 = 1486.705
The ratio of yes votes to no votes was 4 to 7. If there were 3824 yes votes, what was the total number of votes?
Answer:
10,516
Step-by-step explanation:
you can do it different ways but I found the scale factor by dividing 4 into 7 which gives you 1.75 you then multiply that by the amount of yes votes (3824x1.75) which gives you 6692 and then you add that to the amount of yes votes which gives you the answer, 10516 - the total number of votes!
Divide total yes votes by the ratio for yes then multiply by the ratio for no:
3824 /4 = 956
956 x 7 = 6692 total number of no votes
total number of votes = 6692 + 3824 = 10,516
find the mode of the following data 1,2,1,1,3,2,2,2
Answer:
2
Step-by-step explanation:
the mode is the on that appears the most, most common one
Thom’s restaurant bill is $45 and he leaves a 20 percent tip. What is the total cost for Thom’s meal?
$20
$54
$65
$90
Answer:
$54
Step-by-step explanation:
[tex]\frac{x}{45} = \frac{20}{100}[/tex]
To get x which is the 20% tip
1. 45×20 = 900
2. 900÷100=9
3. 9 is the tip
To get the total cost, you would have to add $9 to $45 which is $54.
You spend 15 minutes . You then spend two hours reading email. Write the ratio of the amount of time spent watching television to the amount of time spent reading email as a fraction in simplest form.
Answer:
1:8
Step-by-step explanation:
The ratio for watching tv, to reading email is 15:120 (because two hours equals 120 min.).I then divided both sides by three to get 5:40. I then divided that ratio by 5 to get 1:8, which is the simplest form.
"You have performed increasingly well this past year and you are earning a 6% pay increase to your current $62,900 annual salary."
Supervisor: "Thanks, I look forward to the additional __________ per month."
Answer:
$3,774
Step-by-step explanation:
The perimeter of a trianglular pool is 36
yards the length of two sides or 10 yards and 15 yards how long is the third side
Answer:
11 yard
Step-by-step explanation:
Let the 3rd side be 'a'.
Perimeter = 36
=> sum of sides = 36
=> 10 + 15 + a = 36
=> 25 + a = 36
=> a = 36 - 25
=> a = 11
Subtract.
6/12 - 3/10
Answer:
1/5
Step-by-step explanation:
yeah
Answer:
0.2
Step-by-step explanation:
A home decrease in value from $520,000 to $475,000. What is the percent decrease for the house
Answer:
5467547
Step-by-step explanation:
May can do 936 jumping jacks in
6 minutes. Heather can do 616
jumping jacks in 4 minutes. Who
can do the most jumping jacks
per minute?
please help meeee !
Answer:
May
Step-by-step explanation:
936 ÷ 6 = 156
616 ÷ 4 = 154
Answer: May
May can do 936 jumping jacks in
6 minutes. Heather can do 616
jumping jacks in 4 minutes. Who
can do the most jumping jacks
per minute?
If you were to divide 936 by 6, you would get 156. Then, divide 616 by 4, and you would get 154. This gives you how many jumping jacks each of them do in one minute. The answer to May’s equation was more than Hather’s equation, so May can do more jumping jacks than Heather.