Answer:
4 mins
Step-by-step explanation:
The time taken by the rocket to reach the ground is 8 seconds
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The toy rocket is launched from a platform
The height of the platform = 12 feet
The initial velocity of the rocket = 128 feet / second
Let the height of the launch be = h
Let the time taken by the rocket be = t
The height after the launch after t seconds is given by the equation
h ( t ) = -16t² + 128t + 12
Now , for the rocket to reach the ground , the equation will be
h ( t ) = -16t² + 128t
Since , it is launched from the 12 foot platform , the equation will be
h ( t ) = -16t² + 128t
The height of the rocket on reaching the ground h ( t ) = 0
Substituting the value of h ( t ) in the equation , we get
h ( t ) = -16t² + 128t
0 = -16t² + 128t
16t² - 128t = 0
16t ( t - 8 ) = 0
t - 8 = 0
Adding 8 on both sides , we get
t = 8 seconds
Hence , the time taken by the rocket to reach the ground is 8 seconds
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Answer:
Cheese: [tex]4\frac{3}{8}[/tex] Milk: [tex]1\frac{2}{3}[/tex] Pasta: [tex]6\frac{1}{4}[/tex]Step-by-step explanation:
Cheese:
[tex]1\frac{3}{4} = \frac{7}{4}[/tex] Set up a proportion: [tex]\frac{\frac{7}{4} }{4} = \frac{x}{10}[/tex] Cross multiply, then divide: 10 × 7/4 = 17.5, 17.5 ÷ 4 = 4.375[tex]4.375 = 4\frac{3}{8}[/tex]Milk:
Set up a proportion: [tex]\frac{\frac{2}{3} }{4} = \frac{x}{10}[/tex] Cross multiply, then divide: 10 × 2/3 = [tex]6\frac{2}{3}[/tex], [tex]6\frac{2}{3}[/tex] ÷ 4 = [tex]1\frac{2}{3}[/tex]Pasta:
[tex]2\frac{1}{2} = \frac{5}{2}[/tex] Set up a proportion: [tex]\frac{\frac{5}{2} }{4} = \frac{x}{10}[/tex] Cross multiply, then divide: 10 × 5/2 = 25, 25 ÷ 4 = 6.25[tex]6.25 = 6\frac{1}{4}[/tex]I hope this helps!
Find the value of x and y given that p//q. Type answers alphabetically, and separate by a comma and a space
As angle 6y° and angle( 13y - 10 )° are interior angles on the same side of transversal their sum will be equal to 180° .
Then :-
[tex]6y + 13y - 10 = 180[/tex]
[tex] 19y - 10 = 180[/tex]
[tex]19y = 180 + 10[/tex]
[tex]19y = 190[/tex]
[tex]y = \frac{190}{19} [/tex]
[tex]y = 10[/tex]
Which means :-
= 13y - 10
= 13 × 10 - 10
= 130 - 10
= 120°
Then angle 6y :-
= 6 × 10
= 60°
As angle 60° and angle 9x + 12° are a linear their sum will also add up to form 180° .
Which can be written as :-
[tex]60 + 9x + 12 = 180[/tex]
[tex]9x + 72 = 180[/tex]
[tex]9x = 180 - 72[/tex]
[tex]9x = 108[/tex]
[tex]x = \frac{108}{9} [/tex]
[tex]x = 12[/tex]
Then :-
= Angle 9x + 12
= 9 × 12 + 12
= 108 + 12
= 120°
Therefore , the value of y = 10 and the value of x = 12 .
x-14<-6x+7≤13 solve for x
Answer:
−1 ≤ x < 3
Step-by-step explanation:
Solve the system of inequalities.
X must be equal to or greater then -1 and smaller then 3.
You options are -1, 0, 1, & 2
Mr. Yoshi has 75 papers. He graded 60 papers and he had a student teacher grade the rest. What percent of the papers did each grade
Answer:
Student=20%
Teacher=80%
Step-by-step explanation:
60/75 x100
= 80
100-80
=20
Multiply the polynomials (3x+4)(5x+1)
Answer:
15x^2 + 23x + 4
Step-by-step explanation:
(3x+4)(5x+1)
You put them around a square, like in the picture.
You then cross multiply them.
After that, add all the numbers together.
Hope this helped!
what is 15,420 divided by 20
Answer:771
Step-by-step explanation:I did a long division by using a calculator
Answer:
771
I used an app
Candice paid her parents $45 for rent and divided the rest of her paycheck evenly into a checking account,a savings account,and a retirement fund.She put $192 in her savings account
A.Write an equation to represent the situation
B.How much was Candice paid
(x - 45) / 3 = 192
Let's solve for x to find how much Candice was paid. Multiply both sides by 3
(x - 45) = 576
Add 45 to both sides.
x = 621
Candice was paid $621
19 points Solve for c. 5/4c+12=2
Answer:
C= -8
Step-by-step explanation:
I used a calculator
Answer:
c=-8
Step-by-step explanation:
[tex]\frac{5}{4}c[/tex] + 12 = 2
1.25c + 12 = 2 ( change 5/4 to a decimal for easy understading)
1.25c + 12 - 12 = 2 - 12 ( isolate the variable rememebr whatever you do to the right do it to the left )
1.25c = -10
1.25c / 1.25 = -10 / 1.25 (divide both sides by 1.25 )
c = -8
HOPE IT HELPED
Solve for x.
9x+4≤58 or 16x−2>3
x 30
x 30
Answer:
x ≤ 6
Step-by-step explanation:
Hope this helps!
6(8-2x)=4x what is the answer to this equation?
Answer:
x=3
Step-by-step explanation:
6(8−2x)=4x
Step 1: Simplify both sides of the equation.
6(8−2x)=4x
(6)(8)+(6)(−2x)=4x(Distribute)
48+−12x=4x
−12x+48=4x
Step 2: Subtract 4x from both sides.
−12x+48−4x=4x−4x
−16x+48=0
Step 3: Subtract 48 from both sides.
−16x+48−48=0−48
−16x=−48
Step 4: Divide both sides by -16.
−16x/−16=−48/−16
Which expression is equivalent to (3x2-6) – (5x2 - 7x+5)-(9x + 3)?
Answer:
It equals -2
Step-by-step explanation:
A number increased by
7 is less than 14
Answer:
7
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
x+7 < 15
x < 8
...........
Last one
7(5k-25)=35
Answer:
7(5k-25)=35- distribute
35k-175=35- add 175 to both sides
35k = 210- divide
k=6
Step-by-step explanation:
Solve for indicated variable 4y + 3x= 5 for x
Answer:
4y + 15
Step-by-step explanation:
are complex numbers considered real numbers?
on this assignment, it's asking me to select which expressions simplify to a real number. some of them (which i already selected) simplify to real numbers but some of the others simplify to a complex number like (3 + i)(i - 4) = -13 - i. can -13 - i be considered a real number or no because it's complex?
Answer:yes they are considered real numbers
Step-by-step explanation:
If you read 28 pages a hour how many for hours per 1 page
Answer: 46.7
Step-by-step explanation:
Answer:
1/28
Step-by-step explanation:
[tex]\frac{x}{1}= \frac{1}{28}[/tex]
cross multiply and you get 1/28
To graph ( -5,-8 ) after you go left 5 units what direction will.you have to go
Answer:
next direction would be 8 units down
what is the second step?
Algebra II Question Four 4-2 HW
Answer:
2
Step-by-step explanation:
Factor completely by grouping.
x^3 + 7x^2 + 9x + 63
Answer:
(x+7)(x2+9)
Step-by-step explanation:
Answer: x^3+ 261x +63
Step-by-step explanation:
The table shows how fast four students ran the 200-meter dash.
200-Meter Dash Results
Student Time (seconds)
Ben 40.53
Katie 34.02
Griffin 29.80
Kristin 44.56
How much faster did Griffin run the 200-meter dash than Ben? Enter your answer in the box.
Answer:
Griffin was 10.73 seconds faster than Ben
Step-by-step explanation:
Here, given the information in the question, we want to know how faster was Griffin than Ben in the race
Mathematically, that will be;
|29.80 - 40.53| = 10.73
This shows that Griffin was 10.73 seconds faster than Ben
Y – 9.9 = 6.4
What are the steps to solve this and the answer
to be honest I'm looking for the delay but if they are not going through it and it will work and I am going through it.
Help!!!!!!!!!!!!!!!!Will mark BRAINLIEST
Answer:
Step-by-step explanation:
1. true
2. true
3. false ( pie chart )
4. true
5. false ( y axis )
6. true
7. true
Hope this helps
plz mark as brainliest!!!!!!
Find the term named in the problem.
-21, - 13, -5, 3, ...
Find a23
a(n) = a(1) + ( n - 1 ) × d
a(23) = -21 + ( 23 - 1 ) × 8
a(23) = -21 + ( 22 ) × 8
a(23) = -21 + 176
a(23) = 155
And we're done....
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please help!!
Find the measure of angle Q and length of QR.
The perimeter of QRS is 344 cm. m
QR= _______
Answer:
[tex]m\angle {Q}[/tex] = 56°
QR = 167
y = 136
Step-by-step explanation:
Given h(x) = -5x + 3, find h(5).
Find the unit rate 18 cupcakes in 3 boxes
Answer:
6 cupcakes per box
Step-by-step explanation:
divide 18 by 3
1.4142 / 2 (must show work)
Answer:
2.378
Step-by-step explanation:
144 is the product of -12 and q
Answer:
Step-by-step explanation:
Ok
|6t−7|−8 ≥ 3 Please help me quick