A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y = –16x2 + 119x + 57
Answer:
7.89 seconds
Step-by-step explanation:
using the quadratic formula (-b+-√(b^2-4ac))/2a
a=-16 b=119 c=57
x=-0.451
and
x=7.889
time cant be negative so use the positive x
Time required for the rocket to hit the ground would be 7.9 s.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
We are given the quadratic equation as;
-16x² + 119x + 57 = 0
By using the quadratic formula,
x = [-b ± √b² - 4ac]/2a
Here, a = -16, b = 119 and c = 57
b² - 4ac = (119 )² - 4(-16)(57)
= 14161 + 3648
= 17809
So, x = [-(119) ± √17809]/ 16(2)
= (-119 ± 133.4)/32
Therefore, the time is 7.9 s.
Learn more about quadratic equations;
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In each bouquet of flowers, there are 2 roses and 5 white carnations. Complete the table to find how many roses and carnations there are in 4 bouquets of flowers.
Answer:
28roses 70carnations
Step-by-step explanation:
4+6+8+10=28
10+15+20+25=70
Maybe i think
Yall I need help plsssssss help meeeeeee
Answer:
8. Scalene
9. Isosceles
10. Scalene
plz plzz plz mark as brainliest
solve pls brainliest
Answer:
[tex]18 {m}^{2} [/tex]
Step-by-step explanation:
[tex]area \: = 6m \times 4m \\ = 24 {m}^{2} \\ \\ grass \: area = 3m \times 2m \\ = 6 {m}^{2} \\ \\ cement \: area \: = 24 {m}^{2} - 6 {m}^{2} \\ = 18 {m}^{2} [/tex]
Answer:
18 m^2
Step by step explanation:
In these types of math problems, we have two ways to solve.
1) Directly find the area of the shaded area.
2)Find the unshaded area and then minus that from the total area.
In this case, I will use the second way.
The grass area (unshaded) is 3 x 2 = 6 m^2 ( 6 square meters )
The total area (grass + cement) is 4 x 6 = 24 m^2 ( 24 square meters )
Now, we want the area of the cement part but the grass's area is also in the total.
So, we minus 6m^2 from 24m^2.
Then we get 18m^2.
And that is the answer.
I hope it helps.
(Note : because this problem is easy, you can use both ways but most use the second way. There may also be problems where we can use only the first or second way.)
line w passes through point (-6,-7) and has a slope 1/2. what is the equation for the line in point-slope form?
Answer:
y + 7 = [tex]\frac{1}{2}[/tex] (x + 6)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here m = [tex]\frac{1}{2}[/tex] and (a, b ) = (- 6, - 7 ) , then
y - (- 7) = [tex]\frac{1}{2}[/tex] (x - (- 6) ) , that is
y + 7 = [tex]\frac{1}{2}[/tex] (x + 6)
Write an equation of a line in slope-intercept form with the given slope and y-intercept:
slope: 3/4 ; y-intercept: -8
Answer:
y=3/4x-8
Step-by-step explanation:
What is the EQUATION of the line PERPENDICULAR to y=-2x+5 and passing through the point (0,2)?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required equation is ~
[tex] \boxed{ \sf{y = \frac{x}{2} + 2 }}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's find the slope of given line ~
[tex]y = - 2x + 5[/tex]comparing it with general slope - intercept form of line (y = mx + c) we get, m = -2 (that is slope of the line)
let the slope of the required line be n
And, now since the required line Is perpendicular to the given line. the product of their slopes is -1
that is ~
[tex] - 2 \times n = - 1[/tex][tex]n = \dfrac{ - 1}{ - 2} [/tex][tex]n = \dfrac{1}{2} [/tex]slope of required line is ~ 1/2
now, let's use the point - slope form of line to find the equation of required (perpendicular) line (using point (0 , 2) ~
that is ~
[tex]y - y_1 = m(x - x_ 1)[/tex]here, m = slope ~
[tex] y - 2 = \dfrac{1}{2} (x - 0)[/tex][tex]y - 2 = \dfrac{x}{2} [/tex][tex]y = \dfrac{x}{2} + 2[/tex]I hope it helps ~
Quiz 2
You might need: Calculator
Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After 4 hours, he had
350 pages left to read.
Let y represent the number of pages left to read after a hours.
Complete the equation for the relationship between the number of pages left and number of hours.
y =
Total pages read after 4h
[tex]\\ \sf\longmapsto 4(55)=220pages[/tex]
Pages left=350
Now
[tex]\\ \sf\longmapsto y=350+220[/tex]
[tex]\\ \sf\longmapsto y=570[/tex]
the sum of three whole numbers in a row is 57. what are the three numbers?
Answer:
18, 19, 20
Step-by-step explanation:
(n) + (n + 1) + (n + 2) = 57
3n + 3 = 57
3n = 57 - 3 = 54
n = 54/3 = 18
three numbers are 18, 18+1, 18+2
18, 19, 20
Answer:
18,19,20
Step-by-step explanation:
x + (x+1) + (x+2) = 57
x + x + 1 + x + 2 = 57
Combine like terms
3x + 3 = 57
subtract 3 from both sides
3x = 54
divide both sides by 3
x = 18
The answer is 18, 19, 20
Since we know the value of x, we can look at it like this:
x + (x+1) + (x+2) --- > 18 + (18+ 1) + (18+2) --> 18 + 19 + 20
A number greater than 50 that has exactly 2 factors...
fata
Answer:
10 or 25
Step-by-step explanation:
25 is a factor of 50
Can someone help’ it’s due today pls help pls pls
Answer:
MQP = 138
Step-by-step explanation:
Since the angle bisector always divides the angle in half exactly, we know both of the angle measures we have are the same, and set it up like this: 5x + 19 = 2x + 49 (subtract 2x from both sides) 3x + 19 = 49 (subtract 19 on both sides) 3x = 30 (divide by 3) x = 10
Substitute that x value (10) into the original equations in place of x for each angle to get MQN = 69 and NQP = 69
Add the two values to get 138. MQP = 138
Answer:
138
Step-by-step explanation:
QN bisects ∠MQP. ⇒ ∠MQN = ∠NQP
5x + 19 = 2x + 49
Subtract 19 from both sides
5x = 2x + 49 - 19
5x = 2x + 30
Subtract 2x from both sides
5x -2x = 30
3x = 30
x = 30/3
x = 10
∠MQN = 5x + 19
= 5*10 + 19
= 50 +19
= 69
∠MQP = ∠MQN +∠NQP = 69 + 69 = 138
A pizza buffet has prepared 15 pizzas to place on the line at the beginning of lunch at 11:00 a.m. The equation used to describe the total number of pizzas that have been placed out on the buffet line is shown below.
y = 11x + 15
If x represents every 8 minutes after 11:00 a.m, which statement best describes the rate of change in the number of pizzas set out on the buffet?
A.
Every 16 minutes, 11 more pizzas were set out on the buffet.
B.
Every 16 minutes, 22 more pizzas were set out on the buffet.
C.
Every 16 minutes, 32 more pizzas were set out on the buffet.
D.
Every 8 minutes, 21 more pizzas were set out on the buffet.
HELP!!!
Answer:
B. Every 16 minutes, 22 more pizzas were set out on the buffet.
Step-by-step explanation:
At 11:00 am, x would be equal to 0, and there would be 15 pizzas on the buffet line. Then, every 8 minutes, 11 more pizzas are added to the buffet line. So in 16 minutes, 22 pizzas will be added to the buffet.
[tex]\frac{16}{8} =2\\(11)(2) = 22[/tex]
What is 8 times larger than 3
8 x 3 = 24 for should be 24
Only because 8 times larger than three seems like a multiplication problem..
I hope this helps if it is correct!
Answer:
(8+1) x 3 = 27
Step-by-step explanation:
this is correct rather than 8 x 3 = 24 because both sides of 8x3=24 are equal rather than the sum being greater than the statement.
Evaluate the expression.
2−[(2+10(−1)÷2)+1]
What is the value of the expression?
4
Step-by-step explanation:Review
To evaluate the expression, lets use BODMAS. Before we get to the solving part, lets revise BODMAS.
=> B in BODMAS is brackets. This means that whatever operations are inside a bracket, we must solve that first.
=> O in BODMAS is Orders. The O is used very rarely, there is a possibility that there is no powers, exponents.
=> D in BODMAS is Division. This means that whatever division is occurring in the expression must be done first (Unless if there is a bracket).
=> M in BODMAS is Multiplication. This means that whatever multiplication is occurring in the expression must be done next.
=> A in BODMAS is Addition. This means that whatever addition is occurring in the expression must be done then.
=> S in BODMAS is Subtraction. This means that whatever subtraction is occurring in the expression must be done last.
Solution:Now, lets get to the point. We need to find the expression '2−[(2+10(−1)÷2)+1]'. Using the help of BODMAS, we can solve it.
Step 1: Simplify the innermost bracket.
2 − [( 2 + 10(−1)÷2)+1]
=> 2-[(2-10÷2)+1]
Note: Since in the innermost bracket there is no operation, we can open the innermost bracket and get along with the second inner bracket.
Step 2: Simplify the second inner bracket.
=> 2 - [(2 - 10 ÷ 2) + 1]
=> 2 - [(2 - 5) + 1]
=> 2 - [(-3) + 1]
=> 2 - [-3 + 1]
Step 3: Simplify the third inner bracket.
=> 2 - [-3 + 1]
=> 2 + 2
Step 4: Solve.
=> 2 + 2
=> 4
Final Answer.
Therefore, 4 is our answer after working on this problem.
Answer:
4
Step-by-step explanation:the answer is 4 because you have to 20 2-2+10 and that is ten. then minus one is 9 then 9/2=3 and then 3+1 equals 4
what's the slope (3,-1) and (-2,5)
Answer:
slope = - [tex]\frac{6}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, - 1 ) and (x₂, y₂ ) = (- 2, 5 )
m = [tex]\frac{5-(-1)}{-2-3}[/tex] = [tex]\frac{5+1}{-5}[/tex] = [tex]\frac{6}{-5}[/tex] = - [tex]\frac{6}{5}[/tex]
( WILL GIVE BRAINLY IF IM ABLE TO) Select the correct answer.
A recipe for a loaf of bread calls for of a cup of flour. If Milo used 12 cups of flour, how many loaves of bread did he prepare?
A.
18
B.
16
C.
15
D.
12
E.
8
Answer:
Answer d
Step-by-step explanation:
Answer:
12 Loaves of bread :D
Step-by-step explanation:
hope that helped , have a great day !!
Which expression is undefined?
Answer:
D
Reasoning:
Anything that is divided by zero is undefined.
pasagot po please
answer it please
Answer:
24 I hope help you yieeeeeee
Answer:
ummmmmmmmmmm itsssssssss
Step-by-step explanation:
BRAINLIEST, 5 STARS, AND A THANKS FOR WHOEVER HELPS!
Which statement about the answer to this problem is most accurate?
5\6−3\8=19\24
The answer 19\24 is reasonable because both fractions are closer to 1\2 than they are to 1, making the difference close to 0.
The answer 19\24 is reasonable because 5\6 and 3\8 are both closer to 1 than to 1\2, making the difference close to 0.
The answer 19\24 is not reasonable because 5\6 is closer to 1 than to 1\2, and 3\8 is close to 1\2, making the difference close to 1\2.
The answer 19\24 is not reasonable because 5\6 is closer to 1\2 than to 1, and 3\8 is closer to 0 than to 1\2, making the difference close to 1\2.
Answer:
The answer 19\24 is not reasonable because 5\6 is closer to 1 than to 1\2, and 3\8 is close to 1\2, making the difference close to 1\2.
Step-by-step explanation:
Answer:
1/2 1 0
Step-by-step explanation:
which rotation about its center will carry a regular hexagon onto itself
Can someone help plz
Save
A car rental agency advertised renting
drive on a $100 budget?
car for $28.95 per day and $0.25 per mile. If Shawn rents this car for 3 days, how many whole miles can he
miles solve
Answer:
He could drive 52.006 miles
Step-by-step explanation:
Multiply 28.95 by 3. You get 86.85Subtract 86.85 from 100. You get 13.15Divide 13.15 by 0.25. You get 52.006Jonas has bought three t-shirts. Each t-shirt was the same price. After using a 10% off coupon the total charge was 95 what was the cost of each t-shirt
Answer:
35 5/27
Step-by-step explanation:
You just have to set up an equation:
0.9/95 = 1/x
And if you cross-multiply, you get:
0.9x=95
Which means x is 95/0.9 which is 105 5/9. So, if all three t-shirts costed 105 5/9, and they all costed the same, then one t-shirt costs 35 5/27.
Kendra rides her bike to school each day. It takes her 10 minutes to ride 30 blocks. What unit rate would express the speed of Kendra's bike ride? (4 points)
Group of answer choices
2 blocks per minute
10 blocks per minute
3 blocks per minute
4 blocks per minute
Answer:
3 blocks a minute
Step-by-step explanation:
so if she rides her bike 30 blocks in 10 minutes in means she rides at a pace of 3 blocks a minute
The greatest possible number whose digits are all even numbers from 1 to 9
Answer:
8642Step-by-step explanation:
Our even numbers from 1-9 are:
2,4,6,8The largest possible number using the even numbers once is 8642.
Hoped this helped
I Need Help! but please take your time to get the correct answer
Sal can make 10 bracelets
Find the perimeter of a rectangle whose length is 12 longer than its width
with an area of 45 square feet. To earn 5 points write the mathematical
sentence, the value of Length, width and perimeter
Answer:
l = 21
w = 9
P = 60
Step-by-step explanation:
l = 12 + w
A = l*w = 45
substitute l = 12 +w
45 = (12 + w) * w
45 = 12w + w^2
w^2 + 12w - 45 = 0
w^2 + 2*6*w +36 = 45 + 36 (added 36 on both sides 6^2)
(w + 6) ^2 = 45+36 = 81
w + 6 = +-9
As width cannot be negative w = 9
so l = 12 + 9
= 21
Perimeter = P = 2 (l + b)
= 2 ( 21 + 9)
= 2 (30)
= 60
Help me this question is so hard i fried up my brain yesterday working on it for so long!!!!
Hello there! (:
The answer is 9.
3^4=3*3*3*3 (81)
3^2=9
81:9=9
So the answer is 9.
Hope it helps! If you have any question or query, feel free to ask! (:
~An excited gal
[tex]SparklingFlower[/tex]
Determine if the ordered pairs (1. - 2) and (-4,2) are solutions of the following linear inequality in two variables.
-X<-y
.
Is the ordered pair (1. - 2) a solution of the linear inequality?
Is the ordered pair (-4,2) a solution of the linear inequality?
Answer:
First is, second is not.
Step-by-step explanation:
Start plugging them!
[tex]-(1) < -(-2) \rightarrow -1 < 2 \\ \\- (-4) < -(2) \rightarrow 4 < -2[/tex]
First one is true, so the pair is a solution.
Second is false, (4 is obviously bigger!) so it's not a solution.
If you end up having to check multiple values, your best bet is to draw the solutions on a convenient plane and see where the points lay
What is the quotient of 3.55 x 106 and 7.1 x 102 expressed in scientific notation?
PLEASE HELP THIS IS FOR A TEST
Answer:
[tex]5\times10^3[/tex]
Step-by-step explanation:
[tex]3.55\times10^6 \div 7.1 \times 10^2[/tex]
Exponents are positive:
[tex]3.5.5.0.0.0.0. = 3550000[/tex]
[tex]7.1.0.=710[/tex]
[tex]3550000 \div 710 = 5000[/tex]
Convert back into scientific notation:
[tex]5000 = 5 \times 10^3[/tex]
[tex]= 5 \times10^3[/tex]
Hope this helps.
Answer: 5 x 10^3
Step-by-step explanation:
