Answer:
Time = 3secs
Max height = 56m
Step-by-step explanation:
Given the height reached by the rocket modeled by the equation;
h(x) = -5(x - 3)² + 56 where;
x is in seconds
The rocket velocity at its maximum height is zero.
Hence dh/dx = 0
dh/dx = 2(-5)(x-3)
dh/dx = -10(x-3)
Since dh/dx = 0
0 = -10(x-3)
0 = -10x + 30
10x = 30
x = 3secs
Hence it takes 3 secs to reach the maximum height.
Get the maximum height reached by the rocket. Substitute x = 3 into the equation given;
Recall that:
h(x) = -5(x - 3)² + 56
If x = 3
h(3) = -5(3 - 3)² + 56
h(3) = 0 + 56
h(3) = 56
Hence the maximum height that the rocket reaches is 56m
hi guys can you help me with this maths calculation
$36 - $17.85 =
Answer and Step-by-step explanation:
36 dollars minus 17.85 dollars equals $18.15, or 18 dollars and 15 cents.
All you have to do is subtract 36 by 17.85
36 - 17 = 19
100 - 85 = 15
1 is subtracted from 19 because of the decimal.
18.15
#teamtrees #WAP (Water And Plant)
if you were given the following statements write your conclusion
if you are given :
Step-by-step explanation:
This means that Angle EBA = Angle EBC.
Find the slope of the line that passes through (10, 10) and (3, 1).
Answer:
-7/-9 pretty sure
Step-by-step explanation:
x2-x1
y2-y1
3-10= -7
1-10= -9
Avril wrote the expression 4(x + 3) to represent the area of a rectangle. Which expression is an equivalent representation of the area?
А
4x + 3
B
x(4+3)
С
4x + 12
D
3(x + 4)
Answer:
It is 4x + 12
Solve for the final amount you need to pay. Chinese foos $120 for delivery. You want to pay 15% tip. How much money total money will you give the delivery boy? Show work.
Answer:
$150
Step-by-step explanation:
Given
Delivery amount = $120
Percent tip on the delivery amount = 15%
Tip amount = 15% * 120
Tip amount = 0.15 * 120 = $30
Total money paid = Delivery amount + Tip
Total money paid = $120 + $30
Total money paid = $150
hence the total money you will give the delivery boy is $150
At Algorithms Pizza they have the exponential pizza, which is a 24-inch cheese pizza that costs $17.50. Each topping for the pizza costs $2.35. If Connor ordered the exponential pizza and was charged $29.25, how many toppings were on his pizza?
Answer:
There were 5 toppings on his pizza.
Step-by-step explanation:
From the information given, you can say that the total cost of the pizza would be equal to the cost of the 24-inch cheese pizza plus the result of multiplying the cost of each topping for the number of toppings, which can be expressed as:
c=17.50+2.35x, where:
c is the total cost
x is the number of toppings
Now, you can replace the total cost with $29.25 and solve for x:
29.25=17.50+2.35x
29.25-17.50=2.35x
11.75=2.35x
x=11.75/2.35
x=5
According to this, the answer is that there were 5 toppings on his pizza.
pls help with this asap
Please may someone help me on the following question -Thank you!
4a + x = 3b
Make x the subject of the formula
Answer:
x= 3b- 4a, a€R, b€R
Step-by-step explanation:
1. Move variable to the right-hand side and change it's sign.
2. Write the solution X in parametric form.
What the length of a rectangle's side (height) that is 10 cm wide and It's diagonal is 18.03 cm long?
Answer:
The height of a rectangle's side is 15 cm tall.
Step-by-step explanation:
You can use the pythagorean theorem to solve this.
The pythagorean theorem is:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
The hypotenuse represents the c. One the diagram, the hypotenuse represents the diagonal. The letters a and b represents the sides (just not the diagonals).
Let's plug in.
[tex]{a}^{2} + {b}^{2} = {c}^{2} \\ {a}^{2} + {10}^{2} = {18.03}^{2} \\ {a}^{2} + 100 = 325.0809 \\ \frac{ - 100 = - 100}{ {a}^{2} = \sqrt{225.0809} } \\ a = 15.00[/tex]
Therefore, its 15 cm.
Whats The Answer Can you please explain? MATH..
Answer:
d
Step-by-step explanation:
Answer: D
Step-by-step explanation:
Because the world less than would be subtract.
Hope it was correct I'm so sorry if I wasn't.
Glad I could help tho!
.2
Simplify the expression
-9 + 2.5y - 0.7y + 1 + 6.4y^2
Answer:
6.4y^(2)+1.8y-8
Step-by-step explanation:
got it right edge 2020
ANSWER PLSSS!!!!!!
What is Ann's speed at 7 mins? give a reason to support your answer
Answer:
40 Miles per hour
Step-by-step explanation:
The answer is in the graph.
What is the recursive formula for this geometric sequence? -3, -21, -147, -1029, ...
Answer:
The terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. A recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 . The answer is a1 =-3 & a(n) =a(n-1) •y 7
Hope this helps, have a great day/night, and stay safe!
Answer:
Step-by-step explanation:
The following equation is an example of a literal equation.
2(z + a) = 46
A Solve the glven equation for the variable a. In your final answer, Include all of your work.
B. In two or more complete sentences, explain the specific process that you followed in solving for a.
Answer:
a)
[tex]a=23-z[/tex]
b)
First of all, I divided both sides by 2, simplified, and then subtracted z from both sides. Then, I got the final result for 'a'.
Step-by-step explanation:
a) Solving the equation
Given the expression
[tex]2\left(z+a\right)=46[/tex]
Divide both sides by 2
[tex]\frac{2\left(z+a\right)}{2}=\frac{46}{2}[/tex]
simplify
[tex]z+a=23[/tex]
subtract z from both sides
[tex]z+a-z=23-z[/tex]
[tex]a=23-z[/tex]
Thus, the value of a:
[tex]a=23-z[/tex]
b) Work Process
First of all, I divided both sides by 2, simplified, and then subtracted z from both sides. Then, I got the final result for 'a'.
Pls help me ASAP I DONT know what to put. I only have 6 minutes to answer pls help
Answer:
S= 121
HJ= 150
Step-by-step explanation:
pop quiz?
Solve -17 =
7 / 3 for x.
a-17.9=32.4
i don't know the answer please help
Step-by-step explanation:
a-17.9=32.4
a=32.4+16.9
a=50.3
A term without a variable is called what?
Answer:
constants
are the term
Answer:
Constants
Step-by-step explanation:
I hope this is correct and have a great day
Your high school is having a competition where students have to guess how many candy canes are in a jar. The tens digit is 4 more than twice the ones digit. The sum of the digits is 4. How many candy canes are in the jar
Answer:
40
Step-by-step explanation:
let ones be x
tens is 4 + 2x
4 + 2x + x = 4
3x = 0
x = 0
tens is 4 + 2*0
tens = 4
40 candy canes
Absolute wizards of y'all can figure this out
Answer:
B. 39
Step-by-step explanation:
45 - 4 + 2 - 7 - 1 + 3 + 1
39
Answer:
B would be the answer because
Step-by-step explanation:
I did the whole thing to the right answer
45-4=4141+2=4336-1=3535+3=3838+1=39Hence, the answer is 39 and the only answer on your quiz is B so your answer would be and always well be B (39)
The perimeter of the triangle below is 97 cm.
What is the length of EF?
A. 18 cm
B. 23 cm
C. 30 cm
D. 32 cm
Answer:
The length of EF = x = 18 cm
Option A is correct.
Step-by-step explanation:
Ware given perimeter of triangle = 97 cm
We need to find length of EF = x = ?
The length of EG = x+7
The length of EF = x
The length of GF = 3x
The formula used is: [tex]Periemter \ of \ triangle= Sum \ of \ all \ sides \ of \ triangle[/tex]
Putting values and finding x i.e length of EF
[tex]Periemter \ of \ triangle= Sum \ of \ all \ sides \ of \ triangle\\97=x+7+x+3x\\97-7=5x\\5x=90\\x=\frac{90}{5}\\x=18 \ cm[/tex]
So, value of x=18 cm
The length of EF = x = 18 cm
Option A is correct.
please solve for x
x+19=-9
Answer:
x=-28
Step-by-step explanation:
Answer:
x=-28
Step-by-step explanation:
Which graph represents a relation that is also a function?
( look at the graph and help me pls )
equation
horizontal asymptote
vertical asymptote
Answer:
Hello,
In order to determine which is the horizontal asymptote remember that the horizontal is always x= something and remember that horizontal is straight from left to right.
So Horizontal asymptote = 2
For vertical asymptote it goes from the bottom of the graph, directly up. Think about it like this, you stand upright...or vertically right? So the vertical asymptote is
y= 0
Rate positively and give brainlist
I NEED HELP ASAP!!!
I will mark the correct answer the brainliest!!!
Part A: Linear Equation (=)
1. Name all the equations of the lines found on the coordinate plane.
Line A:
Line B:
Line C:
Line D:
Line E:
Line F:
Line G:
2. Draw the lines described below and answer the questions that follow.
H. Passes through the point (5, -11) and is perpendicular to the y-axis. What is the equation of the line?
I. Passes through the point (-1, -13) and the slope is zero. What is the equation of the line?
J. Passes through the point (0, -15) and is parallel to the x-axis. What is the equation of the line?
Part B: Linear Inequalities (<, <=, >, >=)
Colors must be outside the start.
1. Color the shaded region for the following inequalities:
Orange: y >= 2x + 9
Red: y >= x
Green: y >= -11
Blue: y >= -13
Green: y <= -13
2. Answer the questions below:
A. Write an inequality for line B if it is a dashed line and shaded below. Answer:
B. Write an inequality for line E if it is a solid line and shaded below. Answer:
C. Where will the shade be if the inequality is y >= 6? Answer:
D. What will be the line for y < 6? Answer:
Prove that (Root of Sec A - 1 / Root of Sec A + 1) + (Root of Sec A + 1 / Root of Sec A - 1) = 2 cosec A
Answer:
The answer is below
Step-by-step explanation:
We need to prove that:
(Root of Sec A - 1 / Root of Sec A + 1) + (Root of Sec A + 1 / Root of Sec A - 1) = 2 cosec A.
Firstly, 1 / cos A = sec A, 1 / sin A = cosec A and tanA = sinA / cosA.
Also, 1 + tan²A = sec²A; sec²A - 1 = tan²A
[tex]\frac{\sqrt{secA-1} }{\sqrt{secA+1} } +\frac{\sqrt{secA+1} }{\sqrt{secA-1} } =\frac{(\sqrt{secA-1)}(\sqrt{secA-1})+(\sqrt{secA+1)}(\sqrt{secA+1}) }{(\sqrt{secA+1})(\sqrt{secA-1}) } \\\\=\frac{secA-1+(secA+1)}{\sqrt{sec^2A-secA+secA-1} } \\\\=\frac{2secA}{\sqrt{sec^2A-1} } \\\\=\frac{2secA}{\sqrt{tan^2A} } \\\\=\frac{2secA}{tanA} \\\\=\frac{2*\frac{1}{cosA} }{\frac{sinA}{cosA} }\\\\= 2*\frac{1}{cosA}*\frac{cosA}{sinA}\\\\=2*\frac{1}{sinAA}\\\\=2cosecA[/tex]
Given the sequence: 12,18,24,30,...
Fill in the boxes below to create the recursive formula.
__=___
___=___+___
Step-by-step explanation:
0+6=6
6+6=12
12+6=18
18+6=24
24+6=30
.....
any more help just ask :)
According to the scale on a map, 1 inch on the map = 12 miles. How many miles are represented by 4 inches on the map?
Answer:
60 miles
Step-by-step explanation:
So if 1 inch = 12 miles, you need to find 4 inches. There are multiple ways to achieve this. However ratios/proportions might be easiest.
if 1/12 = 4/x, x is the value of miles. Cross multiply so you get this:
1 4
- = - = 60 = x
12 x
If x equals 60, that means that 4 inches equals 60 miles on the map.
You could also just find an equal fraction by multiplying the top and bottom both by 4.
The miles are represented by 4 inches on the map, if the scale on a map, is 1 inch on the map = 12 miles is 48 miles.
What is multiplication?One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.
Given data:
According to the scale on a map, 1 inch on the map = 12 miles
Calculate the miles as shown below,
Miles in 4 inches on the map = 4 × miles in 1 inch on the map
Miles in 4 inches on the map = 4 × 12 = 48 miles,
Therefore, the miles are represented by 4 inches on the map, if the scale on a map, is 1 inch on the map = 12 miles is 48 miles.
To know more about multiplication:
https://brainly.com/question/1135170
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help and ill give brainliest
Answer:
10
Step-by-step explanation:
The band gets 1/2 of the total amount of water. The total amount collected is twice as much as what the band gets. Multiply 5 by 2 to get 10
Brainliest Please
Happy Holidays
A cyclist travels 5 miles in the direction N 30° E, then travels 3 miles in the direction N 70° E. Which equation
measures the cyclist's distance, x, from the starting point?
52 = x2 + 32 – 2(3)(x)cos(100°)
52 = x2 + 32 – 2(3)(x)cos(140°)
x2 = 52 + 32 – 2(5)(3)cos(100’)
x2 = 52 + 32 – 2(5)(3)cos(140°)
Answer:
D. x2 = 52 + 32 – 2(5)(3)cos(140°)
Step-by-step explanation:
The equation measures the cyclist's distance, x, from the starting point will be x²=5²+3²-2(5)(3)cos(140°). Option B is corect.
What is the distance?Distance is a numerical representation of the distance between two objects or locations.
The distance can refer to a physical length or an estimate based on other factors in physics or common use. |AB| is a symbol for the distance between two points A and B.
Distance is measured in the meter, centimeter, miles, nautical mile, feet, etc. The unit of distance is most important to find it.
The distance, x, from the starting point is;
From the cos law ;
x² = a² +b²-2ab cosΘ
From the digrame it is obtained that;
a =5
b =3
Θ = 180 ° +70° -30°
Θ = 180°- 40°
Θ = 140°
Substitute the values;
x² = a² +b²-2ab cosΘ
x²=5²+3²-2(5)(3)cos(140°)
The equation measures the cyclist's distance, x, from the starting point will be x²=5²+3²-2(5)(3)cos(140°).
Hence option B is corect.
To learn more about the distance refer to the link;
https://brainly.com/question/26711747
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