Given:
The height, in feet, of each rocket at t seconds after launch is given by the polynomial equations:
Rocket A: [tex]-15t^2+100t[/tex]
Rocket B: [tex]-14t^2+85t+3[/tex]
To find:
The equation to find the "difference" in height of Rocket A and Rocket B.
Solution:
The difference in height of Rocket A and Rocket B is:
Difference = Height of Rocket A - Height of Rocket B
[tex]\text{Difference}=(-15t^2+100t)-(-14t^2+85t+3)[/tex]
[tex]\text{Difference}=-15t^2+100t+14t^2-85t-3[/tex]
[tex]\text{Difference}=(-15t^2+14t^2)+(100t-85t)-3[/tex]
[tex]\text{Difference}=-t^2+15t-3[/tex]
Therefore, the difference in height of Rocket A and Rocket B is [tex]-t^2+15t-3[/tex].
You begin solving the equation 4−5=59 4 - 5 x = 59 by subtracting 4 4 from both sides. Which is the best choice for Step 2 2 ?
Answer:
4 – 5x = 59, x = -11
Step-by-step explanation:
The given equations is :
4 – 5x = 59
Subtracting 4 both sides,
4 – 5x -4 = 59-4
-5x = 55
Dividing both sides by -5.
x = -11
So, the answer of the given equation is -11.
PLEASE PLEASE PLEASE HELP ME WITH THIS QUESTION I KEEP GETTING SPAM ANSWERS, THANK YOU!
EXPLAINING YOUR ANSWER = BRAINLIEST
The area is 96 square units.
The length, x, of the base is ___ units.
Given :
Δ Area of the Triangle is 96 square units
Δ Height of the Triangle is 9.6 units
We know that:
[tex]\bigstar \ \ \boxed{\sf{\textsf{Area of a Triangle is given by} : \dfrac{1}{2} \times Base \times Height}}[/tex]
[tex]\implies \sf{\dfrac{1}{2} \times Base \times 9.6 = 96}[/tex]
[tex]\implies \sf{\dfrac{1}{2} \times Base = \dfrac{96}{9.6}}[/tex]
[tex]\implies \sf{\dfrac{1}{2} \times Base = \dfrac{960}{96}}[/tex]
[tex]\implies \sf{\dfrac{1}{2} \times Base = 10}[/tex]
[tex]\implies \sf{Base = 20 \ units}[/tex]
David is six times older than Janet. If David is 48 years old, how old is Janet?
Answer:
David is six times older than Janet. If David is 48 years old, how old is Janet? Janet is 8 years old.
Step-by-step explanation:
48÷6=8
solve for x round to the nearest tenth if necessary
Answer:
x ≈ 7.7
Step-by-step explanation:
Using the sine ratio in the right triangle
sin69° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{HI}{GI}[/tex] = [tex]\frac{7.2}{x}[/tex] ( multiply both sides by x )
x × sin69° = 7.2 ( divide both sides by sin69° )
x = [tex]\frac{7.2}{sin69}[/tex] ≈ 7.7 ( to the nearest tenth )
HELP! What is the surface area of the right cone below?
12 6
A. 339 sq. units
B. 245 sq. units
C. 185 sq. units
D. 582 sq. units
The surface area of the right cone is,
⇒ 339 units²
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Radius of right cone = 6 units
Slant height of right cone = 12 units
Now, We know that;
The formula for the total surface area of a right cone is,
⇒ T. S. A = πrl + πr²
Hence, We get;
The surface area of the right cone is,
⇒ 3.14 × 6 × 12 + 3.14 × 6²
⇒ 226.08 + 113.04
⇒ 339.1
⇒ 339 units²
Thus, The surface area of the right cone is,
⇒ 339 units²
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
Please answer and explain
Answer: It is a 3% chance
write an equivalent logarithmic equation for e^x=24
Answer:
x=ln 24
Step-by-step explanation:
e^x=24
If we take the ln of both sides
ln e ^x= ln 24
x=ln 24
16. m + 5(m - 1) =
How do u solve this
A truck is carrying pineapple juice, tomato juice, and cherryjuice bottles in a ratio of 3:5:4. If there are 80 tomato juice bottles, then how many juice bottles in total?
PLEASE HELP!!
Answer:
192
Step-by-step explanation:
The ratio of pineapple to tomato to cherry is 3 to 5 to 4.
That means for some number x,
we have 3x pineapple, 5x tomato, and 4x cherry.
We are asked to find the total number which is 3x+5x+4x which is equal to 12x.
We are given that there are 80 tomato and we also have 5x tomato. These two expressions are therefore equal and we need to solve 80=5x which leads to x=80/5=16.
So the total amount is 12x=12(16)=192.
Sorry can someone help please…
Angel went to the store to buy some chicken. The price per pound of the chicken is $4 per pound and he has a coupon for $2.75 off the final amount. With the coupon, how much would Angel have to pay to buy 2 pounds of chicken? Also, write an expression for the cost to buy p pounds of chicken, assuming at least one pound is purchased.
Answer:
$5.25 for 2lbs
Step-by-step explanation:
C=total cost
C=4p-2.75
---
C=4(2)-2.75
C=$5.25
Answer:
$5.25 the expression is $4p-2.75
LAWD please help. I have summer school
Me too. It's the third option. :)
Answer:
I think its the third bubble. Hopefullly this helps. im pretty sure its correct.
Step-by-step explanation:
1st. add rt to both sides so that it cancels out. That should give you xy= s+rt.
2nd. Then divide x from both sides to single out the y. since x is multiplying with y you must use the inverse operation and divide by X. This should leave you with y= (s+rt)÷x
What is the. Length of a
Answer:
One of the altitude formed from the vertex to the base and its magnitude given as 12cm
There is also a hypotenuse whose length is 15cm
By pythagorean theorem b^2 +a^2= c^2
so 12^2+a^2 = 15^2
=> 144+a^2 = 225
=> a^2 = 225-144
=> a^2 = 81
so the length of a = √81 = 9 cm (ans)
Hope it helps
Answer:
c
Step-by-step explanation:
PLEASE HELP
IT SAYS IN PROGRESS BUT ITS COMPLETED WHAT DO I DO???!!!!
Answer:
click on it and double check that all questions are 100% complete if so wait because it is quite possible it is a glitch this sort of thing happens often no need to be alarmed
factoring polynominaly
Answer:
Most of the question is missing. If you could type out the rest, we might be able to help you.
HELP I WILL AWARD BRAINLIEST
*Prove that corresponding angle bisectors in congruent triangles are congruent.
Answer:
CPCTC
Step-by-step explanation:
BESTIE MY CAPS LOCK KEY IS LIKE STUCK SO YEAH
ANYWAY, THIS IS GOING TO SOUND REALLY AGGRESSIVE
SO CONGRUENT TRIANGLES HAVE 3 EQUAL SIDES AND 3 EQUAL ANGLES
THEY ARE EXACTLY THE SAME
SINCE WE KNOW ALL OF THIS AWESOME INFORMATION, NOW WE CAN THAT THE ANGLE BISECTORS WILL BE CONGRUENT BY CPCTC -
CORRESPONDING PARTS OF CONGRUENT TRIANGLES ARE CONGRUENT
WE CAN USE AN EXAMPLE TO UNDERSTAND BETTER
SAY YOU HAVE 2 CONGRUENT TRIANGLES
THE ANGLES ARE 50, 60, AND 70
SAY THAT THE ANGLE BISECTORS ARE ON 60
THEY WILL BE CONGRUENT BECAUSE THEY ARE THE CORRESPONDING ANGLES OF 2 CONGRUENT TRIANGLES
BUT WHEN YOU ARE ASKED FOR A REASON, IT IS BECAUSE OF CPCTC
CORRESPONDING PARTS OF CONGRUENT TRIANGLES ARE CONGRUENT
Solve for x: 3 over 4 x + 5 over 8 = 4x x = Write your answer as a fraction in simplest form. Use the "/" symbol for the fraction bar. (2 poin
Answer:
x = 5/26
Hope this helps! GL!
When adding two
rational numbers what
will the sign be if both
numbers are positive?
Answer:
Step-by-step explanation:
Adding two rational numbers results in a positive sum.
Whats the answer to this ??
answer is 4
it is the cube root of 4
4×4×4 = 64
The answer of value is 4.
Select the number line model that matches the expression
|8 - 1|
Answer:
B
Step-by-step explanation:
Trust
What is the value of h(2)?
Step-by-step explanation:
answer is 0
because x= 2 and y =3 make a circle
If an angle does not have a measure of 88°, then the angle is not an acute angle.
Which of the following statements contain a variable? Check all that apply.
A. The amount of time you ran on the track.
B. How high you can jump.
C. The time school starts.
D. The temperature outside is 31 degrees.
Name a Radius
A. AP
B. AB
C. DE
D. All of the above
please help I'll really appreciate it
Answer:
AP is the radius since it's a straight line extending from the center. CP and BP are radiuses as well
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
Radius is the line segment that joins the centre of a circle and any point on its circumference. In the figure , AP is the radius. The plural form of radius of radii. All the radii of a circle are equal i.e AP , PB & PC are radii and they're equal.[tex] \large{ \tt{❁ \: LET'S \: CHECK \: THE \: OPTIONS: }} [/tex]
[tex] \large{ \tt{ \overline{AP}}}[/tex] - Yes! [tex] \tt{ \overline{AP }}[/tex] is a radius since it is the line segment which joins the centre of a circle and any point on the circumference. [tex] \large{ \tt{ \overline{ AB}}}[/tex] - No! It's a diameter since it is the line segment that passes through the centre of a circle and joins any two points on its circumference. Remember: The length of a diameter is two times radius i.e if the length of radius [ AP ] is 5 then the length of Diameter [ AB ] will be 5 × 2 = 10.[tex] \large{ \tt{ \overline{ DE}}}[/tex] - No! It's a chord since it is the line segment which joins any two points on the circumference of a circle.
[tex] \large \boxed{ \boxed{ \tt{☄OUR \: FINAL \: ANSWER : { \tt{ \overline{AP}}}}}} \: [/tex]
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
which best describes the transformation that occurs from the graph of f(x)=x^2 to g(x)=(x-2)^2+3??
answer right 2, up 3
any function with the following form is a transformation from f(x) = x²
g(x) = (x – a)² + b
were a moves the function to the right when a is a positive number and to the left when its a negative number, and b moves the function up when b is positive and down when its negative.
then for a=2 positive and b=3 positive, we have
right 2, up 3
Answer:
answer right 2, up 3
Step-by-step explanation:
In a flight of 600km,an aircraft was alowed down due to bad weather. Its average speed for the trip reduced to 200km/hr and the time increased by 30 minutes. Find the duration of the flight.
Answer:
The duration of the flight is 1 hour
Step-by-step explanation:
Since average speed = distance traveled / time
Let the duration of the flight be in z hours
So, (600km/z hours) - (600km/ z hours + (1/2)) = 200km/hr
Note: 1/2 is used as a result of 30 minutes increased in time which is half an hour.
200 = (600/z ) - (600/z + (1/2))
Multiply 2 through on (600/z + (1/2))
200 = (600/z ) - (1200 / (2z + 1))
Divide through by 200
= z(2z + 1) = 3
convert to quadratic equation
2z² + z = 3
2z² + z - 3 = 0
(2z + 3) ( z-1) = 0
z-1 = 0
z = 1 hour
Solve x2 − 3x = −8. (2 points)
Answer: x=3 plus or minus i square root 29 end root all over 2
The solutions of x² = 16x - 28 are
1) -2 and -14
2) 2 and 14
3) -4 and -7
4) 4 and 7
Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
15.3 m
10 m
24.6 m
22.4 m
Answer:
Solution given:
perpendicular[p]=x
base[b]=11.6m
hypotenuse[h]=19.2m
by using Pythagoras law
h²=p²+b²
19.2²-11.6²=x²
x=[tex]\sqrt{234.08}[/tex]
x=15.3m
option
a.
15.3 m
Answer:
15.3 m
Step-by-step explanation:
c refers to the longest side (hypotenuse) whereas a and b referes to the two other smaller sides of atriangle.
pythagoras theorem
a^2 + b^2 = c^2
11.6^2 + x^2 = 19.2^2
134.56 + x^2 = 368.64
x^2 = 368.64 - 134.56
x^2 = 234.08
x=[tex]\sqrt{234.08[/tex]
x=15.29
x=15.3 m
please help me rules of differantion
Answer:
Step-by-step explanation:
Do this by making this 2-part function into one all-in. Do this by finding a common denominator and then writing the function as one, over the common denominator, x. When we do this we get the function:
[tex]y=\frac{3x^3-2}{x}[/tex] and we will use the rule for quotients, which is the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all over the denominator squared. For us, that is, in steps:
[tex]y'=\frac{x(9x^2)-(3x^3-2)(1)}{x^2}[/tex] which simplifies to
[tex]y'=\frac{9x^3-3x^3+2}{x^2}[/tex] which simplifies finally to
[tex]y'=\frac{6x^3+2}{x^2}[/tex]. Nothing else you do can make this any more simplified.