Answer:
a) 72.25sec
b) 6.25secs
c) after 10.5secs and 2 secs
Step-by-step explanation:
Given the height reached by the rocket expressed as;
s(t)= -4t^2 + 50t - 84
At maximum height, the velocity of the rocket is zero i.e ds/dt = 0
ds/dt = -8t + 50
0 = -8t + 50
8t = 50
t = 50/8
t = 6.25secs
Hence it will reach the maximum height after 6.25secs
To get the maximum height, you will substitute t - 6.25s into the given expression
s(t)= -4t^2 + 50t - 84
s(6.25) = -4(6.25)^2 + 50(6.25) - 84
s(6.25) = -156.25 + 312.5 - 84
s(6.25) = 72.25feet
Hence the maximum height reached by the rocket is 72.25feet
The rocket will reach the ground when s(t) = 0
Substitute into the expression
s(t)= -4t^2 + 50t - 84
0 = -4t^2 + 50t - 84
4t^2 - 50t + 84 = 0
2t^2 - 25t + 42 = 0
2t^2 - 4t - 21t + 42 = 0
2t(t-2)-21(t-2) = 0
(2t - 21) (t - 2) = 0
2t - 21 = 0 and t - 2 = 0
2t = 21 and t = 2
t = 10.5 and 2
Hence the time the rocket will reach the ground are after 10.5secs and 2 secs
How do you write 8.317 x 10^6 in standard form?
Answer:
[tex]8,317,000[/tex]
Step-by-step explanation:
[tex]8.317\times10^6[/tex]
Rewrite 10^6:
[tex]10\times10\times10\times10\times10\times10[/tex]
Solve:
[tex]8.317\times(10\times10\times10\times10\times10\times10)\\=8,317,000[/tex]
8,317,000 is your final answer!
solve for x
2 + x^2 = 18
Answer:
16
Step-by-step explanation:
Answer:
4 and -4
Step-by-step explanation:
To solve, just isolate x
2+x^2=18
subtract both sides of the equation by 2
x^2=16
find the square root of 16
(remember, no matter if a number is positive or negative, if it is squared, it automatically becomes positive)
to get:
x=4
and
x= -4
2
Which of the following expressions is equivalent to
V162?
O
27.32
36
27.1/6
.
9
Answer:36
Step-by-step explanation:
I hope this helps and if it does plz if u can buy a thanks and brainlist or what ever it’s called :)
5x+2y=-10
-3x - 2y=6
Solve by elimination I’m confused
What is the slope of the line containing the points (-4,-6) and (3,-4)
Answer:
got you right now
Step-by-step explanation:
the slope is -2\3
I need to know both of the questions please!
Answer: x=10 and angle RST is 75 degrees
Step-by-step explanation:
What is the slope of the line RS that contains the points R(-2, -3), S(3, -5)
HELP ASAP
Answer:
[tex]slope = \dfrac{-2}{5}[/tex]
Step-by-step explanation:
The slope of a line passing through points , [tex] (x_1,y_1) [/tex] and [tex] (x_2,y_2) [/tex] is ,
[tex]\implies slope = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
Using this we have ,[tex]\implies slope = \dfrac{y_2-y_1}{x_2-x_1}\\\\\implies slope = \dfrac{-5+3}{3+2}\\\\\implies \boxed{\boxed{slope = \dfrac{-2}{5}}}[/tex]
please help me . if you dont know the answer please do not answer it
Answer:
Option D
Step-by-step explanation:
Type of a polynomial is decided by the maximum degree of the variable.
In the given polynomial [tex]-\frac{2}{3}b^3[/tex], maximum power of the polynomial is 3.
Therefore, given polynomial is a cubic polynomial.
Option D is the correct option.
2 BEC = 74°. What is 2 AED?
Answer:
AED is also 74
Step-by-step explanation:
they share the same crossing lines
Answer: 74
Step-by-step explanation:
1. Write the balanced chemical equation for the reaction you are performing.
ANSWER
Mg+O---->MgO
This is the balanced chemical equation
6) Determine the dimensions of a rectangle if:
A = x2 – 19x – 90
Answer:
Step-by-step explanation:
Determine the dimensions of a rectangle if:
A = x2 – 19x – 90
I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
The first one is correct. But why can't they be proven congruent
Step-by-step explanation:
Find the missing length. The triangles in each pair are similar.
Answer:
........................................
Given P(A) = 0.44, P(B) 0.6 and P(An B) = 0.394, find the value of
P(AUB), rounding to the nearest thousandth, if necessary.
Given:
[tex]P(A)=0.44,P(B)=0.6,P(A\cap B)=0.394[/tex].
To find:
The value of [tex]P(A\cup B)[/tex], rounding to the nearest thousandth.
Solution:
We know that,
[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]
On substituting [tex]P(A)=0.44,P(B)=0.6,P(A\cap B)=0.394[/tex], we get
[tex]P(A\cup B)=0.44+0.6-0.394[/tex]
[tex]P(A\cup B)=0.646[/tex]
Therefore, the value of [tex]P(A\cup B)[/tex] is 0.646.
Please please ASAP ASAP please ASAP thank you so
No links or files
Answer:
c
Step-by-step explanation:
This is 7th grade math just trying to see if I’m doing it right so I need this answer please hurry
Answer:
I assume you are trying to find the area of it, then it would be 182m.^2
Please help! Will give Brainliest!
Need ASAP will give brainliest!
Answer:
x=4 and y=3
Step-by-step explanation:
Ah Algebra...
2x-3y=-1
y=x-1
Let's solve your system by substitution.
2x−3y=−1; y=x−1
Rewrite equations:
y=x−1;2x−3y=−1
Step: Solve
y= x−1
Step: Substitute x−1 for y in 2x−3y=−1:
2x−3y=−1
2x−3(x−1)=−1
−x+3=−1(Simplify both sides of the equation)
−x+3+−3=−1+−3(Add -3 to both sides)
−x=−4−x−1=−4−1
(Divide both sides by -1)
x=4
Step: Substitute4forxiny=x−1:
y=x−1
y=4−1
y=3(Simplify both sides of the equation)
Answer:
x=4 and y=3
Hope this helps :)
Stay Cold,
Brook
Answer:
(4,3)
Step-by-step explanation:
Being that the y variable is isolated in the second equation, the other side of that equation can be substituted for y in the first equation.
[tex]2x - 3(x - 1) = - 1[/tex]
Now simplify for x.
[tex]2x - 3x + 3 = - 1 \\ - x = - 4 \\ x = 4[/tex]
Now with that, insert the x value in for x in the second equation.
[tex]y = (4) - 1 \\ y = 3[/tex]
Now the correct answer is (4,3)
(Write the equation) Thank you if you answer it <3
Answer:
10 - 2 = (x + 6)Explanation:
The Sum Of x And 6 Is Two Less Than Ten.The Sum Of x And 6: x + 6
Two Less Than Ten: 10 - 2
Put The Two Terms Together10 - 2 = (x + 6)Sue invested $2400 at a 3% simple interest rate for 18 months. How much did she earn on her investment after the 18 months?
Answer:
sinple interest= principle*rate*time/100
SI= 2400*3*1.5/100
SI= 108
AMOUNT= SI + PRICIOLE
AMOUNT= 108+2400
AMOUNT= 2508
{ I converted 18 months to 1.5 years}
any body can help me pls i need help
Answer:
2
Step-by-step explanation:
What percentage of students in the school that attend the talent show for the years 2008 2013 or shown
Answer:
Step-by-step explanation:
266
the rectangle below has a perimeter of 120 in right an equation to solve for x and then calculate the length and width of the rectangle.
Answer:
I did what I can
Hope this helps :)
YALL PLEASEE HELP MEE i am very confused and I need to pass this
Answer:
-4 and 1, the answer is C
Step-by-step explanation:
The arrow points at the lines, the trace the lines to the nearest numbers :)
he line segment is rotated by 270 degrees counterclockwise about the origin to form C′D′. Which statement describes C′D′?
1. C′D′ is 4 units long.
2. C′D′ is 8 units long.
3. C′D′ is parallel to CD.
4. C′D′ is half the length of CD.
Answer:
it is parrell
Step-by-step explanation:
Find an equation for the perpendicular bisector of the line segment whose endpoints
are (3, 1) and (-9, -5).
Help plz
Answer:
y= -2x -8
Step-by-step explanation:
I will be writing the equation of the perpendicular bisector in the slope-intercept form which is y=mx +c, where m is the gradient and c is the y-intercept.
A perpendicular bisector is a line that cuts through the other line perpendicularly (at 90°) and into 2 equal parts (and thus passes through the midpoint of the line).
Let's find the gradient of the given line.
[tex]\boxed{gradient = \frac{y1 -y 2}{x1 - x2} }[/tex]
Gradient of given line
[tex] = \frac{1 - ( - 5)}{3 - ( - 9)} [/tex]
[tex] = \frac{1 + 5}{3 + 9} [/tex]
[tex] = \frac{6}{12} [/tex]
[tex] = \frac{1}{2} [/tex]
The product of the gradients of 2 perpendicular lines is -1.
(½)(gradient of perpendicular bisector)= -1
Gradient of perpendicular bisector
= -1 ÷(½)
= -1(2)
= -2
Substitute m= -2 into the equation:
y= -2x +c
To find the value of c, we need to substitute a pair of coordinates that the line passes through into the equation. Since the perpendicular bisector passes through the midpoint of the given line, let's find the coordinates of the midpoint.
[tex]\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2}) }[/tex]
Midpoint of given line
[tex] = ( \frac{3 - 9}{2} , \frac{1 - 5}{2} )[/tex]
[tex] = ( \frac{ - 6}{2} , \frac{ - 4}{2} )[/tex]
[tex] = ( - 3 , - 2)[/tex]
Substituting (-3, -2) into the equation:
-2= -2(-3) +c
-2= 6 +c
c= -2 -6 (-6 on both sides)
c= -8
Thus, the equation of the perpendicular bisector is y= -2x -8.
can someone pleease help my teacher will not help me.
Answer:
The perimeter is 206.
Step-by-step explanation:
When given the area, height and side of the parallelogram, you would use the formula to find the perimeter: P=2a+2*A /h. a = side of the parallelogram, A = area, and h = height. When you plug in everything, you will get 206.
The length of a rectangle is 6 inches longer than its width. The perimeter of the rectangle is 28 inches. If x represents the
width of the rectangle in inches, which equation can be used to find its value?
Answer:
2(x + (x+6)) = 28
Step-by-step explanation:
2x+2x+12 = 28
4x + 12 = 28
4x=16
x=4
width = 4
length = 10
Answer:
d. 2(x + 6) + 2x = 28
Step-by-step explanation:
1. Mike has 43 books in his library. He bought several books at a yard sale over the weekend. He now has 67 books in his library. How many books did he buy at the yard sale?
2. After paying 9 dollars for the pie, Sam has 87 dollars left. How much money did he have before buying the pie?
3. Last week Jason had 12 dollars. He washed cars over the weekend and now has 93 dollars. How much money did he make washing cars?
4. There are 31 pine trees currently in the park. Park workers will plant more pine trees today. When the workers are finished there will be 68 pine trees in the park. How many pine trees did the workers plant today?
5. Sam's high school played 14 hockey games this year. The team won most of their games. They were defeated during 3 games. How many games did they win?
6. Joan had 22 peaches left at her roadside fruit stand. She went to the orchard and picked more peaches to stock up the stand. There are now 76 peaches at the stand, how many did she pick?
7. Fred received 60 dollars for his birthday. He went to a sporting goods store and bought a baseball glove, baseball, and bat. He had 22 dollars left over, how much did he spent on the baseball gear?
8. How many ink cartridges can you buy with 204 dollars if one cartridge costs 17 dollars?
9. After eating at the restaurant, Mike, Joan, and Sally decided to divide the bill evenly. If each person paid 23 dollars, what was the total of the bill?
10. There were 11 bales of hay in the barn. Mike stacked more bales in the barn today. There are now 70 bales of hay in the barn. How many bales did he store in the barn?
I need your help.
Answer:
1- 24
2- $96
3- $7.75
4- 37
5- 11
6- 54
7- $38
8- 12
9- $46
10- 59
Someone help and plz make sure it’s right
Answer:
Step-by-step explanation:
cosx=adjacent /h