Answer:
9/5 = 1(4/5)
Step-by-step explanation:
Ronin kicks a ball over the gate of the first floor balcony. The function h(t)=-36t^2+288t+9 can be used to model the height of the ball where t is the time in seconds after the ball kicked and h(t) is the height in feet 1. Find the time in Devon which the ball reaches it maximum height
Answer: 4 seconds
Step-by-step explanation:
Given: The function [tex]h(t)=-36t^2+288t+9[/tex] can be used to model the height of the ball where t is the time in seconds after the ball kicked and h(t) is the height in feet.
Differentiate the given function with respect to t , we get
[tex]h'(t)=-36(2)t+288=-72t+288[/tex]
Put h'(t)=0
[tex]\Rightarrow\ -72t+288=0\Rightarrow\ t=\dfrac{288}{72}\\\\\Rightarrow\ t=4[/tex]
Also, [tex]h''(t)=-72<0[/tex]
By second derivative test, h(t) is maximum at t=4.
Hence, the time in Devon which the ball reaches it maximum height = 4 seconds
Round 6.13 to one decimal place.
Answer:
6.1
Step-by-step explanation:
because the 3 is below 5 so it sticks to 1
Help please, 100 points
9514 1404 393
Answer:
less than -5
Step-by-step explanation:
The open circle indicates that -5 is not part of the solution set. This means the inequality will not include "or equal to."
The arrow pointing to the left indicates values less than -5 are in the solution set.
p < -5
Answer:
Less than 5
Step-by-step explanation:
15)
You are asked to solve -10% +15 < -2x - 9. Which three statements are true?
A)
x > 3
B)
X<2
2 is a solution
D)
-8x < -24
3 is not a solution.
Answer:
A, x>3
Step-by-step explanation:
You solve the equation as normal by crossing out both sides and getting what equals to x, but since you divided by a negative the sign flips and you are left with your answer. Hope this helps!
Anyone know the answer ?
Answer:
74 is the answer
Step-by-step explanation:
64+42=106
180-106=74
hope this helped!
Answer: 74°
42+64=106
180-106=74
I hope this helps :
Solve the system of equations by the addition method.
5x + 2y = 1
2x - 2y = -8
Answer:
(-1, 3)
Step-by-step explanation:
5x + 2y = 1
+
2x - 2y = -8
7x = -7
x= -1
2(-1) - 2y = -8
-2 - 2y = -8
-2y = -6
y = 3
slove this problem with the quadratic equation x^2-22x=75
Answer:
[tex]x=(+-)\sqrt{97}[/tex]
Step-by-step explanation:
the parenthesis with the plus and minus is when the plus is on top and the minus is underneath.
Express 16 1/3 in the simplest radical form
Which is the solution to the equation 2.6a+18.4=28.8?
1.4
4
18.2
27
A dressmaker needs to cut 12-inch pieces of ribbon from rolls of ribbon that are 6 feet in length. How many 12-inch pieces can the dressmaker cut from 10 of these rolls of ribbon?
Before you try that problem, answer the question below.
How many \textbf{inches}inches of ribbon does the dressmaker have, in total?
Answer:
60
Step-by-step explanation:
because 12 inches is one foot so there’s 6 feet per 6 feet of ribbon and there’s 10 of these ribbons so 6 times 10 is 60
The 12-inch pieces the dressmaker can cut from 10 of these rolls of ribbon will be 60 strips .
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
It is given that the dressmaker has 720 inches of ribbon.
dressmaker needs to cut 12-inch pieces of ribbon from rolls of ribbon that are 6 feet in length.
The amount of rolls she has = 10 rolls
so,
6(strips per roll) x 10(amount of rolls) = 60 strips
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ2
Solve x2 + 6x = -6. If exact roots cannot be found, state the consecutive
integers between which the roots are located.
x²+6x＝-6 ‖+6
x²+6x+6＝0
x1＝-(6/2)+√((6/2)²-6)＝ -3+√(3) or ≈ -1.267
x2＝-(6/2)+√((6/2)²-6)＝ -3-√(3) or ≈ -4.732
The roots of the quadratic equation, x² + 6x = - 6 are between - 2 and - 1,
and 1 and 2.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, x² + 6x = - 6.
We know in ax² + bx + c = 0, x = ± √(b² - ac)/2a.
∴ x² + 6x + 6 = 0.
x = ± √(36 - 24)/2×1.
x = ± √(12)/2.
x = ± (2√3)/2.
x = ± √3.
We know √3 is between 1 and 2 and - √3 is between - 2 and - 1.
learn more about quadratic equations here :
https://brainly.com/question/17177510
#SPJ2
The cell phone plan for a company D is $10 per month plus $15 per gigabyte for data
used.
The monthly cost of thȚs option can be represented by function D, defined by:
D(x) = 153 + 10, where I is the gigabytes of data used over the monthly allowance.
Find D (2) =?. Please help
Question 2
1 pts
Answer:
the answer is 599
Step-by-step explanation:
help me please!!! will give brainliest!!
Answer:
what questions you need answers?
Encuentra la medida del segmento AB conociendo que : DE//BC medida del ángulo EDA=90 grados ,AD=2cm,DE=3cm y BC=18cm
The length of the base of an isosceles triangle is x. The length of a leg is 2x - 4. The perimeter of the triangle is 47. Find x.
Answer:
x = 11
Step-by-step explanation:
Remark
There are two legs. They are equal.
Equation
2x - 4 + 2x - 4 +x = 47 Combine like terms
Solution
5x - 8 = 47
5x - 8+8 = 47 + 8
5x = 55 Divide by 5
x = 11
A tree cast a 16 foot long shadow on level ground a forestry student uses a clinometer to determine the sun is that a 70° angle of elevation what is the height of the tree to the nearest whole foot
Answer:
15foot
Step-by-step explanation:
The set up will give a right angled triangle.
The length of the shadow will be the hypotenuse = 16foot
The height of the tree will be the opposite = x
The angle of elevation = 70°
Using the SOH CAH TOA trig identity
Sin theta = opposite/hypotenuse
Sin 70 = x/16
x=16sin70
x = 15.04feet
Hence the height of the tree to the nearest whole foot is 15foot
2/3 times what equals to 2/3÷16
Answer:
1/16
Step-by-step explanation:
2/3*x=2/3/16
x=1/16
why?
2/3*1/16 is just 2/3/16
Please PLEASE HELPPP!!!!!!
Answer:
5/2
Step-by-step explanation:
10 multiplied by 5/2 gives us 25, so the scale factor is 5/2.
14a + 8
Factor the Algebraic Expression
Answer:
Step-by-step explanation:
2 is the largest shared factor. Thus, the given 14a + 8 = 2(7a + 4).
Given A= -7,B=13 and C=53 what is the the standard form of an equation
Determine the x-intercepts.
y=-xpower of 2- 2x+3
Helppp!!! ASAP
Answer:
4/2
Step-by-step explanation:
Right answer gets brainlist
Answer:
The volume of the cone = 101 cubic inches.
Step-by-step explanation:
Given
Radius of the cone = r = 4 in
Height h of the cone = h = 6 in
To determine
The volume in cubic inches rounded to the nearest whole number.
Using the formula to determine the volume of the cone
V = πr²h/3
substitute r = 4, h = 6, and π = 3.142 in the formula
V = (3.142) (4)²(6) / 3
V = (3.142) (4)² (2)
V = (3.142) (16) (2)
V = (3.142) (32)
V = 100.544
V ≈ 101 cubuc inches (rounded to the nearest whole number)
Therefore, the volume of the cone = 101 cubic inches.
PLEASE HURRY IN A BIG TEST
2y + (4 + Бу)
Answer: 8y+4
Step-by-step explanation:
2y+4+6y
Combine Like Terms
=2y+4+6y
=(2y+6y)+(4)
=8y+4
What is the least number of plums which can be shared equally among groups of 8, 12 and 16 students
Answer:
20
Step-by-step explanation:
The graph shows the number of sales people working and the total of number of cars sold over
the last 18 days.
There will be 9 salespeople working tomorrow.
By estimating the line of best fit,which value is the best estimate for how many cars will be sold tomorrow?
A.)25 B.)30 C.)35 D.)40
Answer:
a
Step-by-step explanation:
I need help it's due tonight at 11:59 1. A home improvement store advertises 60 square feet of flooring for $287 including an $80 installation fee. How much does each square foot of flooring cost?
Variable:
Equation:
Solution:
2. Five sisters each bought matching scarves and 2 pairs of socks. The scarves were priced at $12. If the total bill for all 5 sisters was $125, what was the price of one pair of socks?
Variable:
Equation:
Solution:
3. Felix joins the YMCA. They charge Felix a $20 annual fee, plus an additional $15 per month. Felix prepays by writing a check for $185. For how many months did Felix prepay?
Variable:
Equation:
Solution:
Answer:
Step-by-step explanation:
1.
(im gonna use x as a variable for all of these problems)
first to find how much each square foot costs subtract 80 from the total first
287 - 80 = 207
then divide $207 between 60 square feet
207 / 60 = $3.45
so each square foot is $3.45
our equation to find the cost would be
y = 3.45x + 80
2.
first lets find out how much the scarves are
5 x 12 = $60
then subtract that from the total
125 - 60 = $65
for 5 sister to each have 2 pairs of socks that means theres 10 pairs of socks
divide ypur rmaining money by the 10 pairs
65 / 10 = $6.50
so each pair of socks is $6.50
3.
first lets make an equation for the ymca costs
y = 15x + 20
then plug in 185 for y
185 = 15x + 20
solve for x
165 = 15x
11 = x
hes prepaid for 11 months
hope this helps <3
Can some one help me with this ASAP
Answer:
x=9
z=105
Step-by-step explanation:
12x-33=75
12x=75+33
x=108/12
x=9
z+75=180
z=180-75
z=105
you put $1,200. in a savings account for four years at 5.6%. what is the total amount in the account after the four years
Answer:
you would have 1,194.4
Step-by-step explanation:
i subtracted.
What table of values goes with the equation y = |-2x|?
Answer:
The graph at the bottom
Step-by-step explanation:
All the numbers are gonna come out positive, because of the absolute value bars.
Answer:
i think its the last one i got that answer right
Step-by-step explanation:
Triangle C is rotated 180° clockwise with the origin
as the center of rotation to create a new figure.
Which rule describes rotating 180° clockwise?
Answer:
(x,y)--> (-x,-y)