1. The height of a missile t seconds after it has been fired is given by h=4.9t^2+44.1t. How many seconds will it take for the rocket to reach its greatest height?
Answer:
The rocket will take 4.5 seconds to reach its maximum height.
Step-by-step explanation:
The height of a missile t seconds after it has been fired is given by h=-4.9*t²+44.1*t
This function is a quadratic function of the form f (x) = a*x² + b*x + c. In this case a=-4.9, b=44.1 and c=0
To calculate how many seconds it will take for the rocket to reach its maximum height, I must calculate the maximum of the function. The maximum of a quadratic function is the vertex of the parabola. The x coordinate of the vertex will be simply: [tex]x=\frac{-b}{2*a}[/tex]. The y coordinate of the vertex corresponds to the function evaluated at that point.
In this case the x coordinate of the vertex corresponds to the t coordinate. In other words, by calculating the x coordinate of the vertex, you are calculating the maximum time t it will take for the rocket to reach its maximum height. So:
[tex]t=\frac{44.1}{2*(-4.9)}[/tex]
t=4.5
The rocket will take 4.5 seconds to reach its maximum height.
Pls help and show your work
Answer:
21. Vol. = L ^ 3
or, 27000 = L ^ 3
or, cube root undefr 27000 = L
Therefore, Edge length = 30 cm
22.
a. v = l ^ 3
or, 64000 = l ^ 3
or, cube root under 64000 = L
or, l = 40 cm
Also,
surface area = 6 a ^ 2
= 6 * 40 ^ 2
= 6 * 1600
= 9600 cm ^ 2 #
Hope this helped
Hope this helped ALL THE BEST !!
(3,-2)
tell what point is located at each ordered pair
Answer:
x = 3
y = -2
Step-by-step explanation:
I honestly don't understand the question I think you made a mistake writing it but I think I have an idea about it.
what is equal to 4.2 kilometers
4,200 meters
420 meters
420 centimeters
4,200 centimeters
Answer:
4,200 metersHow do you convert meters to kilometers formula?Meters to Kilometers Conversion1 Meter (m) is equal to 0.001 kilometer (km). To convert meters to km, multiply the meter value by 0.001 or divide by 1000. For example, to convert 100 m to km, multiply 100 by 0.001, that makes 0.1 km is 100m .
Step-by-step explanation:
Hope it is helpful.....
HELP ME SOLVE HURRY I WILL MARK BRAINLIEST THANKS
Answer:
your y intercept is 90 and the equation would be y= 90 and x is unknown
Can someone help?
Need to find x, and measure of angle DEF
Answer:
x = 5
[tex] m\angle DEF = 90\degree [/tex]
Step-by-step explanation:
GE is the angle bisector of quadrilateral DEFG,
Thus, by angle bisector property:
9x°= (5x + 20)°
9x = 5x + 20
9x - 5x = 20
4x = 20
x = 20/4
x = 5
[tex] m\angle DEF = 9x\degree + (5x+20)\degree [/tex]
[tex] m\angle DEF = (14x+20)\degree [/tex]
[tex] m\angle DEF = (14\times 5+20)\degree [/tex]
[tex] m\angle DEF = (70+20)\degree [/tex]
[tex] m\angle DEF = 90\degree [/tex]
A horizontal line includes the points (0, -2) and (3, -2). Find the slope of the line.
wil give BRAINLIEST
pls answer correctly
Answer:
We conclude that the slope of the line containing the points (0, -2) and (3, -2) is:
[tex]m = 0[/tex]Step-by-step explanation:
Given that the line includes the points
(0, -2)(3, -2)We need to find the slope of the line containing the points between (0, -2) and (3, -2) using the formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where m is the slope between (x₁, y₁) and (x₂, y₂)
In our case,
(x₁, y₁) = (0, -2)(x₂, y₂) = (3, -2)now substituting (x₁, y₁) = (0, -2) and (x₂, y₂) = (3, -2) in the slope formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-2-\left(-2\right)}{3-0}[/tex]
[tex]m=\frac{-2+2}{3}[/tex]
[tex]m=\frac{0}{3}[/tex]
[tex]m = 0[/tex]
Therefore, we conclude that the slope of the line containing the points (0, -2) and (3, -2) is:
[tex]m = 0[/tex]Help please thank you
Answer:
172
Step-by-step explanation:
a triangle all together has 180 degrees on it
10+8=18
180-18=172
(it doesn't sound right but that's how I learned it)
Answer:
The length of the third side is 6
Step-by-step explanation:
Using Pythagorean theorem:
[tex]c^{2} =b^{2} +a^{2}[/tex]
where,
c = the longest side ( 10 )
b = one of the other sides ( 8 )
a = the last side ( the missing one - assume it's a )
step1: sub the values in the formula:
[tex]10^{2} =8^{2} +a^{2}[/tex]
step2: simplify the numbers:
[tex]100=64+a^{2}[/tex]
step3: subtract 64 from both sides:
[tex]a^{2} =36[/tex]
step4: take the square root for both sides:
a = √36
step5: simplify to get a:
a = 6
so the length of the third side is 6
circle p has a raius of r and circle q has a radius twice as large. How many time greater is the area of circle q than the area of circle p
Answer:
4 times greater
Step-by-step explanation:
see attached picture
can someone help plz
Answer: 5/4x
Step-by-step explanation:
To solve this you'll need to use the slope formula which is
Y2 - Y1 over
X1 - X2
You already have two points so that's what we'll use.
(4, 7) (12, 17)
17 - 7
12 - 4 = 10/8
10/8 can be simplified further to 5/4
You roll a six-sided die numbered 1-6. What is the probability of a multiple of 3?
Experimental or Theoretical?
Answer:
1/3
Step-by-step explanation:
n(e)/n(s)
n(3)/n(6)
3/6
1/2
This figure shows two similar triangles. Which is the value of x.
A) 2
B) 4
C) 6
Answer:
I belive the answer is 2
Step-by-step explanation:
I could be wrong because this was hard (tell me if I am) but I belive it's 2
Help me with this math assignment please ASAP
Answer:
5 I don't know if it's right but I am a trying
If X varies directly as Y and inversely as the square of Z, and X=20 when Y=5 and Z=6, find Y when X=15 and Z=3.
Answer:
78
Step-by-step explanation:
its not!
I know this is easy but im stuck on two answers and im getting confused.. The first one that answer this correctly gets a BRANLIST
Can you simply these fractions?
Answer:
here:
Step-by-step explanation:
(a) 5/6
(b)4/5
(c)3/8
(d) 6/15= 2/5
(e) 2/7
(f)10/14= 5/7
(g) 3/4
(h) 1/2
(i) 6/9
(j) 1/4
This student solved a linear equation and showed all their work. What was their first step?
A: Distributive property
B: Combine like terms
C: Inverse operation
odpowiedź A aaaaaaaaaaaaaaaaa
Which of the following are exterior angles? Check all that apply.
A. 5
B. 4
C. 1
D. 3
E. 6
F. 2
Answer:
D&E
Step-by-step explanation:
الا
length of cello tape is lm 60cm
85 cm is used form it how
much is left on the roll
Answer:
75 m
Step-by-step explanation:
1m 60 cm = 160 cm
160cm-85cm= 75 cm
~ 75 cm of tape is left in the roll.
Pleaseee answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!! (It has to be two capital letters !!! )
Answer:
the answer is WU is congruent to UV
24. $5.24 + 23¢ + 2¢ (53)
Answer:
$5.49
Step-by-step explanation:
Rewrite 23¢ and 2¢ as $0.23 and $0.02, and then combine them: $0.25. Now add this result to $5.24. We get $5.49
um some help please? asap
IN PARALLELOGRAM BCHS IF BC = 15, BS = 12, and SH = (3x - 3), WHAT IS THE VALUE OF THE VARIABLE x?
Answer:
6
Step-by-step explanation:
Given a parallelogram BCHS
Opposite side of the parallelogram are equal hence;
BC = HS
Given
BC = 15, BS = 12, and SH = (3x - 3),
15 = 3x-3
3x = 15+3
3x = 18
x = 18/3
x = 6
Hence the value of x is 6
Please help, it would really make my day! I’ll give branliest if it’s correct! :-)
Evaluate 4a when a=7
The value is:
Answer:
28
Step-by-step explanation:
2k+16=30 i need help with this before March 2nd ASAP
Answer:
k = 7
Step-by-step explanation:
The goal is to solve for the variable k in this problem.
To do this, we need to get k by itself!
2k + 16 = 30
Start by subtracting the 16 over from the left side to the right
2k + 16 - 16 = 30 - 16
Simplify by subtracting 16 from 16 on the left side (which is 0) and 16 from 30 on the right side (which is 14).
2k = 14
Then finish by dividing both sides by 2 to get k by itself.
[tex]\frac{2k}{2}[/tex] = [tex]\frac{14}{2}[/tex]
Simplify by dividing 2 by 2 on the left side (which is 1) and 14 by 2 on the right side (which is 7).
k = 7
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathbf{2k + 16 = 30}[/tex]
[tex]\huge\textbf{Solving for:}[/tex]
[tex]\mathbf{2k + 16 = 30}[/tex]
[tex]\huge\textbf{Subtract \boxed{\bf 16} to both sides:}[/tex]
[tex]\mathbf{2k + 16 - 16 = 30 - 16}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathbf{3k = 30 - 16}[/tex]
[tex]\mathbf{2k = 14}[/tex]
[tex]\huge\textbf{Divide \boxed{\bf 2} to both sides:}[/tex]
[tex]\mathbf{\dfrac{2k}{2} = \dfrac{14}{2}}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathbf{x = \dfrac{14}{2}}[/tex]
[tex]\mathbf{x = 14\div2}[/tex]
[tex]\mathbf{x = 7}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{k = }\frak{\ 7}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]You have several purchases you
need to make from the grocery store.
From the grocery store you need to purchase 1/2 Ib cheese, 2 lbs sliced ham,
2 loaves of bread, 3 bags of potato chips, and 2 containers of salsa. You have
a coupon for $3.00 off if your purchase totals more than $25.00 or 10% off if
the total is more than $30.00. The food sales tax is 4%. What is your total
purchase?
Item
Cost
Cheese
$3.99/lb
Sliced Ham
$4.29/lb
Bread
$2,49/ loaf
Potato Chips
$1.99/ea OR 2 for $3.00
Salsa
$2.79/ container
Be sure
to include in
your response:
The
steps you followed to complete your computations.
The choice you
made regarding which discount to use.
The total cost of your purchases.
DEF, find the length of d, to the nearest tenth, given that ∠D=110o, e = 10cm and f = 14cm.
Answer:
d = 19.8 cm
Step-by-step explanation:
Use the law of cosines
[tex]d^{2} = e^{2} + f^{2} -2ef cos D\\d^{2} = 10^{2} + 14^{2} -2(10)(14) cos 110\\[/tex]
= 100 + 196 - 280 cos 110
= 296 - (-95.765640)
= 391.765640
[tex]d = \sqrt{391.7656401}[/tex]
d = 19.8 cm
I need help and work shown please help
Answer:
F=90
D=37
E=53
f=18.3
d=11
e=14.6
Step-by-step explanation:
Triangle Sum Theorem means 180-37-90=E. So, E=53 degrees.
Sin(37)=[tex]\frac{11}{f}[/tex]
fsin(37)=11
f=[tex]\frac{11}{sin(37)}[/tex]
f=18.3
Tan(37)=[tex]\frac{11}{e}[/tex]
etan(37)=11
e=[tex]\frac{11}{tan37}[/tex]
e=14.6
Make sure your calculator is in DEGREE mode.
Slope Find Value of Zero
Answer:
(3, -6) and (7, -6)
Step-by-step explanation:
Plugging it in the slope formula we get -6+6 = 0, meaning the division will be 0. This the slope is 0
Determine whether the following expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial, or trinomial.
Expression: 7a2b+3b2
Polynomial? Answer
Degree? Answer
Terms? Answer
Name? Answer
leading coefficient:
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Equations.
[tex]7 {a}^{2}b + 3 {b}^{2} [/tex]
1.) Polynomial ==> Binomial
2.) Degree ==> 2
3.) Terms ==> 2
4.) Name ==> Quadratic Equation in two variables.
5.) Coefficient => 7 and 3
Answer:
1.) Polynomial ==> Binomial
2.) Degree ==> 2
3.) Terms ==> 2
4.) Name ==> Quadratic Equation in two variables.
5.) Coefficient => 7 and 3
Step-by-step explanation:
1.) Polynomial ==> Binomial
2.) Degree ==> 2
3.) Terms ==> 2
4.) Name ==> Quadratic Equation in two variables.
5.) Coefficient => 7 and 3