Answer:
13 seconds.
Step-by-step explanation:
Given
[tex]h = -4.9(t - 13)(t + 2).[/tex]
Required
Determine a reasonable solution for t
To do this, we equate h to 0.
[tex]h = -4.9(t - 13)(t + 2).[/tex] becomes
[tex]0 = -4.9(t - 13)(t + 2).[/tex]
Divide through by -4.9
[tex]0 = (t - 13)(t + 2).[/tex]
Reorder the expression
[tex](t - 13)(t + 2) = 0.[/tex]
Split
[tex]t-13 = 0[/tex] or [tex]t + 2 = 0[/tex]
This gives:
[tex]t = 13[/tex] or [tex]t = -2[/tex]
But time can't be negative, So:
[tex]t = 13[/tex]
On a road trip, a family drives 350 miles per day. How many days, d, must they trave
to reach a distance of at least 1400? Write an inequality to represent this
situation.
Answer:
1400< 350d (its less than or equal to, but i cant put the bar under.
Max has a drawer full of green and red socks. He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks. Half the number of green socks plus one-third of the number of red socks is 36. How many of each colour does he have?
Answer:
There are 42 red colour socks and 44 green color socks
Step-by-step explanation:
Let there are r red socks and g green socks.
ATQ,
He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks.
4g-3r=50 ....(1)
Half the number of green socks plus one-third of the number of red socks is 36.
[tex]\dfrac{g}{2}+\dfrac{r}{3}=36\\\\3g+2r=216\ .....(2)[/tex]
Multiply equation (1) by 2 and equation (2) by 3.
8g-6r = 100 ....(3)
9g +6r = 648 ....(4)
Add equation (3) and (4)
8g-6r + 9g +6r = 100+648
17g = 748
g = 44
Put the value of g in equation (1).
4(44)-3r=50
176-3r = 50
176-50 = 3r
r = 42
Hence, there are 42 red colour socks and 44 green color socks.
what is x in 4x²-12x+ 9 = 0
Answer: x = √9/8
answer is x = square root of 9/8
Step-by-step explanation:
3. Jackson answered 80o of the questions on his Science test correctly. Colton scored 10
out of 12. Who scored the highest score?
Answer:
i think they both scored the same
Answer:
Colton did.
Step-by-step explanation:
Jack's score was 80%.
Colton got a score of 83.33...
I got Colton's score by solving 10/12.
Perry currently has $238 dollars and is spending $6 per day. Nick has no money but is earning $8 each day. After how many days will they have the same amount of money?
Answer:
are you sure it is not 180? if it is it is 12.87
but if it is 238 it is 21 days or something close
Plainfield Community Center is buying new seating for their building. They want to purchase a combination of stools and chairs. Stools cost $50 and chairs cost $65. The center cannot spend more than $3000.
Which inequality represents all possible combinations of s stools and c chairs?
50s+65c≤3000
50c+65s≥3000
50s+65c<3000
50c+65s≤3000
Answer:
D) 50s + 65c ≤ 3000
Step-by-step explanation:
50s represents the stools and 65c represents the chairs
you can't go over 3000 and so this is the only answer that makes sense.
Answer:
The answer is D) 50s + 65c ≤ 3000!
Step-by-step explanation:
I just took the test and i got 100%. Hope this helps! :]
A machine produces 264 bolts in 42 minutes. At the same rate, how many minutes would it take to produce 308 bolts?
minutes
Answer:
49.6 minutes to create 308 bolts
Step-by-step explanation:
hope this helps :)
When the sum of a number, n, and 6 is divided by 4 the
result is equal to 5. Set up and solve an equation to find
the value of n.
Answer:
n = 14
Step-by-step explanation:
(n + 6)4 = 5
1. multiply by 4
n + 6 = 20
2. substract 6
n = 14
The required value of n is 14 in the given sum.
What is algebra?Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.
We have been given that the sum of a number, n, and 6 is divided by 4 the result is equal to 5.
According to the given question, we can write the algebraic form would be as:
⇒ (n + 6)/4 = 5
Apply the cross-multiplication operation,
⇒ (n + 6) = 5 × 4
Apply the multiplication operation,
⇒ (n + 6) = 20
⇒ n = 20 - 6
Apply the subtraction operation,
⇒ n = 14
Therefore, the required value of n is 14.
To learn more about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
an island has three towns located at points with the coordinates a (15,3) b (25,10) and c (0,20) where the coordinates have units of Km the government wants to locate a toxic waste dump at a position as far as possible away from each town you may assume that this location is not on the edge of the island find the coordinates at the point where the toxic waste dump should be located
9514 1404 393
Answer:
(13.06, 16.41)
Step-by-step explanation:
Any point not on a perpendicular bisector of the line between towns will be closer to one town than the other. So, the intersection of perpendicular bisectors will be the equidistant from all towns. That point is the circumcenter of the circle circumscribing the triangle with the towns as its vertices. This can be found as the intersection of two perpendicular bisectors of the segments between the towns.
The midpoint of AB is ...
(A +B)/2 = ((15, 3) +(25, 10))/2 = (40, 13)/2 = (20, 6.5)
The midpoint of AC is ...
(A +C)/2 = ((15, 3) +(0, 20))/2 = (15, 23)/2 = (7.5, 11.5)
__
The differences between points are ...
B -A = (25, 10) -(15, 3) = (10, 7)
C -A = (0, 20) -(15, 3) = (-15, 17)
Then the perpendicular bisector equations can be written as ...
bisector of AB ⇒ 10(x -20) +7(y -6.5) = 0
10x +7x -245.5 = 0
bisector of AC ⇒ -15(x -7.5) +17(y -11.5) = 0
-15x +17y -83 = 0
These have coefficients that aren't particularly nice, so a method similar to Cramer's Rule is suitable for solving this pair of equations. Using the "cross multiplication method", we have ...
x = (7(-83) -17(-245.5))/(10(17) -(-15)(7)) = 3592.5/275 = 13 7/110 ≈ 13.06
y = (-245.5(-15) -(-83)(10))/275 = 4512.5/275 = 16 9/22 ≈ 16.41
The point as far as possible from each town within the boundary of the island has coordinates (13.06, 16.41).
_____
Further detail regarding the solution
Here, we have written the equation for the perpendicular bisector this way. The difference in coordinates between points R and S can be called ...
R -S = (∆x, ∆y)
The midpoint of segment RS can be called ...
(R +S)/2 = (h, k)
Then the line that is a perpendicular bisector of RS can be written as ...
∆x(x -h) +∆y(y -k) = 0
This is the form that is used above.
__
The "cross multiplication method" for solving a pair of general-form linear equations ...
ax +by +c = 0
dx +ey +g = 0
will give the solution as ...
1/(ae -db) = x/(bg -ec) = y/(cd -ga)
If you write the coefficients in two rows of four, the pattern of products and differences is easy to see.
[tex]\left[\begin{array}{cccc}a&b&c&a\\d&e&g&d\end{array}\right][/tex]
Gabriel was given a gift card for a coffee shop. Each morning, Gabriel uses the card to
buy one cup of coffee. Each cup of coffee costs $4 and the original amount of money
on the gift card was $20. Make a table of values and then write an equation for A, in
terms of x, representing the amount money remaining on the card after buying x
cups of coffee.
Number of Cups of Coffee Amount of Money Remaining on Card
Answer: A =
PLEASE HELP!!!! WILL GIVE BRAIN I PROMISE.
Answer:
No, they are not inverses.
Step-by-step explanation:
To find out if this are inverses we will have to switch the x and y in one of the equations. Let's do it with the second equation:
(Remember that f(x)/g(x) and y are virtually the same)
y = -4x + 2
Switch x and y
x = -4y + 2
Now solve for y
x - 2 = -4y
[tex]-\frac{x}{4} + \frac{2}{4} = y\\-\frac{x}{4} + \frac{1}{2} = y[/tex]
Therefore, the 2 functions in the question are not inverses of each other because the actual inverse has a negative in front of the -x/4.
I hope this helps!!
- Kay :)
What is the oblique asymptote of g(x)= x^2-3x-5/x+2?
Answer:
excuse me these words are some other language
Answer:
It's y= x-5
Step-by-step explanation:
You and your friend join a new gym that requires a one-time joining fee and monthly payments. Your friend chooses the 1 year plan and pays $687, while you elect the 18 month contract which costs $981. Use this information to determine the linear model used to calculate cost from months of membership.
Answer:
C = 99 + 49m
x = $99
y = $49
Step-by-step explanation:
Let
x = one time joining fee
y = monthly payment
Your friend:
1 year = 12 months
x + 12y = $687
You:
x + 18y = $981
x + 12y = 687 (1)
x + 18y = 981 (2)
Subtract (1) from (2)
18y - 12y = 981 - 687
6y = 294
Divide both sides by 6
y = 294 /6
= 49
x = $49
Substitute y = 49 into
x + 12y = 687
x + 12(49) = 687
x + 588 = 687
x = 687 - 588
= 99
x = $99
C = 99 + 49m
Where,
C = total charges
m = number of months
99 = a one time joining fee
49 = charges per month
Can someone help me with this problem?
I need help and D. Is x>-25
Answer:
x>50
Step-by-step explanation:
Answer:
x < 25
Step-by-step explanation:
Given
- 2x > - 50
Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity
x < 25
what is the square root of a perfect square always rational
Answer:
The square root of a perfect square will always be a whole positive or negative number
Step-by-step explanation:
Find the equation of the line that passes through the given points. Write the equation in slope-intercept form.
(-2,-4) and (-4,-3)
Step-by-step explanation:
m=(y1-y)/(x1-x2)
m=(3-(-4))/(-4-(-2))
m=7/-2=-7/2
y=mx+c
y=-7/2x+c
Help please!!
Lisa traveled 140 miles on 2/5 of a tank of gas. At this rate, how far can she travel on one tank of gas?
Answer:
350miles
Step-by-step explanation:
Can someone please help....I’m stuck
Mr. Martin wrote the following problem on the board.
Juanita's car has a gas mileage of 21
|miles per gallon. How many miles
can Juanita travel on 7 gallons of
gas?
21miles
Alex used the expressionanllon
7gallons
to find the
answer. Did Alex make a mistake? Answer Yes or No. hi
Answer:
147 gallons
Step-by-step explanation:
21 miles x 7 gallons
toni can carry up to 15 lbs in her backpack. her lunch weights 1 lb, her gym clothes weight 2 lb, and her books (b) weight 3 lb each. How many books can she carry in her backpack?
Answer:
4 books
Step-by-step explanation:
15-3=12
12/3=4
Let x= t+2 and y= t² Write an equation for y in terms of only X
Answer:
[tex] y = {x}^{2} - 4x + 4[ /tex]
Step-by-step explanation:
[tex] x = t + 2 \\
\implies \: x - 2 = t....(1) \\
y = {t}^{2} ....(2) \\
plug \: t = x - 2 \: in \: equation \: (2) \\
y = {(x - 2)}^{2} \\
\red{ \bold{ y = {x}^{2} - 4x + 4}}[/tex]
Reuben bought 5CDS that were each the same priceIncluding sales tax, he paid a total of \$81.50. Each CD had a tax of $0.60. what was the price of each cs before tax ?
Answer:
The price of each CD before tax is $15.70
Step-by-step explanation:
Given that:
Number of CDs bought by Reuben = 5
Cost of five CDs = $81.50
Sales tax on each CD = $0.60
Sales tax on 5 CDs = 0.60*5 = $3.00
Price of CDs without tax = 81.50 - 3.00 = $78.50
Price of each CD = [tex]\frac{Cost\ of\ CDs}{No.\ of\ CDs}[/tex]
Price of each CD = [tex]\frac{78.50}{5}[/tex]
Price of each CD = $15.70
Hence,
The price of each CD before sales tax is $15.70
There are 6 blue markers, 4 red
markers and 5 green markers. What
is the ratio of blue to total markers?
Answer:
9 is the answer to that question
do videos give mastary on khan?????????????????
Answer:
No they are only there so u can understand and answer the questions
Answer this question quickly plz
Answer:
a.
1 quarter=0.25
240*0.25=60
again,
b.349/60=5.81 weak
Answer:
Step-by-step explanation:
a) he saves £60 per week
b) 60 x 6= 360
he needs to save £60 for 6 weeks to have enough money to buy a bike
Order from least to greatest, (15 points) and brainy award.
Answer:
pi/2 ... 2pi -square root 9..... and then pi +3
Step-by-step explanation:
pretty much the opposite of what it is now
C
15 mm
8 mm
Pythagorean theorem
Roxanne invests $4.000 into an account that pays 4% simple interest. Roger invests the same amount of money with the same rate, but the
Interest is compounded annually. What will be the difference in Roxanne's and Roger's accounts after five years if no additional amounts are
deposited? Round to the nearest cent.
Answer:
Step-by-step explanation:
What grade?
Answer:
$67
Step-by-step explanation:
4000 for 4% equal $160/year total in 5 year equal $4800
the other one 4160 1 year, 4327 2 year, 4500 3 year, 4680 4 year, 4867 5 year the difference is $67 more has Roger than Roxanne
Write the ratio
2/3 /5
in simplest form
Answer:
A) 2/15
Step-by-step explanation:
So just divide it normally, do keep change flip
2/3*1/5
2/3 keep
divison change
Denomeinator, flip it, 5 to 1/5
now multiply
2/15
PLEASE HELP WILL MARK BRAINLIEST Question 8
Which pair of equations show below would have infinite solutions?
Answer
A Y = -2 + 8
y = 4x - 7
B y = x - 4
y = 3x - 2
C) x
x – 3y = -3
x – 3y = 6
D 3x +y = 3
6x + 2y = 6
Answer:
Step-by-step explanation:
a)y=-2x+8
y=4x-7
solution
b)y=x-4
y=3x-2
solution
c)x – 3y = -3
x – 3y = 6
no solution
d)3x +y = 3
6x + 2y = 6
infinite.
Answer: D
Step-by-step explanation: