Answers
Answer
First one is A
Second one is B
Third one is D
Problem 1
Answer: Choice A
(30, 225); Rocket reaches max height of 225 ft after 30 seconds.
-------------------
Explanation:
Distribute the 0.25 through to get
y = 0.25(60x-x^2)
y = 15x - 0.25x^2
y = -0.25x^2 + 15x
This is in standard form y = ax^2+bx+c with a = -0.25, b = 15 and c = 0.
The first two values mentioned lead to this x coordinate of the vertex.
h = -b/(2a)
h = -15/(2*(-0.25))
h = -15/(-0.5)
h = 30
This tells us the answer is between A and C.
If you were to plug x = 30 into the original equation, you'll get y = 225. It means that after x = 30 seconds, the rocket has reached its max height of 225 feet. Therefore, the answer must be choice A.
===========================================================
Problem 2
Answer: Choice B
(x-3)^2 = -8(y-6)
-------------------
Explanation:
vertex = base of the bulb = (3,6)
focus = top of the bulb = (3,4)
This flashlight is pointed downward, which forms a downward opening parabola.
The distance from the vertex to the focus is p = 2 units. This is known as the focal distance.
We'll plug that in along with the vertex (h,k) = (3,6) in the formula below
4p(y-k) = (x-h)^2
4*2(y-6) = (x-3)^2
8(y-6) = (x-3)^2
Unfortunately that equation above produces a parabola that opens upward. To fix things, we stick a negative out front on either side, which will reflect the parabola over the x axis to make the parabola open downward. That leads us to choice B.
===========================================================
Problem 3
Answer: D) square
-------------------
Explanation:
We can form a point by intersecting the plane through the point where the two cones meet. The plane needs to be parallel to the base of each cone.
We can also form a line. To do so, we intersect the plane at exactly along the edge of the cone. Make the plane tangent to the cone.
Lastly, we can form a circle by intersecting any plane parallel to the cone's base. This plane cannot pass through the meeting point of the two cones. Rather, the plane passes through one of the cones.
Those three previous paragraphs mean that we can rule out choices A,B,C. The only thing we can't form is a square. We can form straight lines, but we cannot form perpendicular lines needed to get a square. Nice work on selecting the correct answer.
Related Questions
List all the factors of 40 from least to greatest. Enter your answer below,
using a comma to separate each factor,
Answer here
TI
SUBMIT
Answers
Answer:
1,2,4,5,8,10,20,40
Step-by-step explanation:
Have a nice day
4
Select the correct answer.
What is a unit rate?
OA.
a rate with one in the numerator
OB.
a rate in which the numerator and the denominator are equal
Ос.
a rate with one in the denominator
OD
a rate in which the denominator is greater than the numerator
Answers
Answer:
C. A rate with one (1) in the denominator
A unit rate is basically a ratio of something to one.
example:
if 10 bananas costs ten dollars then one banana would cost one dollar.
Step-by-step explanation:
Answer:
A. A rate with one in the numerator
Step-by-step explanation:
We can find the unit rate when given a rate by dividing the unit in the numerator by the quantity in the denominator. For example, if we are given the rate $4.50/5 gallons of milk, we can divide 4.50 by 5 to find the unit price, which is dollars per one gallon of milk. A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
Solve the system of equations using the substitution method.
S 4x + 5y=7
ly=3x +9
Enter your answers in the boxes.
2
X=
y=
Answers
Answer:
x = -2.
y = 3.
Step-by-step explanation:
If y = 3x + 9
Substitute this value for y in the first equation.
4x + 5(3x + 9) = 7
4x + 15x + 45 = 7
19x = 7 - 45
19x = -38
x = -38/19
x = -2.
with this value of x, substitute -2 in the second equation
y = 3(-2) + 9
y = -6+9
y = 3.
check if your values are all correct
4(-2) + 5(3) = 7
-8 + 15 = 15 - 8 = 7
Correct!
How many lb. of burgers did Mrs. Butterfield make?
Answers
Answer:
4 burgers
Step-by-step explanation:
four burgers
If you're making the patties yourself (to save money or because you love making burgers), assume four burgers per pound of meat
PLEASE HELP ME!!!!!!
Answers
B or D so sorry these ones are confusing written like this.
Gave a lovely weekend.
Pls help ASAP
Give the domain and range
Answers
Answer:
D: {-2, 0, 2}
R: {-1, 1, 3
Triangle JKL is dilated by a scale factor of 5 to form triangle J'K'L'. Side K'L'
measures 65. What is the measure of side KL?
Answers
Can you solve this? Please ( 15+ points)
Answers
Answer:
112+24x
Step-by-step explanation:
2(16+(10*4)+(x*12))
solve the inner bracket
2(16+40+12x)
solve this bracket
2(56+12x)
solve this now
112+24x
Answer:
[tex]24x+112[/tex]
Step-by-step explanation:
First of all we will start with the brackets inside the equation,
1. [tex]2[16+40+12x][/tex]
Now we can multiply 2 by all the values inside the parentheses
2. [tex]32+80+24x[/tex]
I just wanted to confirm that the big X is a variable?
Fact: Did you know that there are about 4 types of parenthese: ( ) - round brackets, [ ] - square brackets, { } - curly brackets, and < > - angle bracket.
4/7 + (-6/7) Find the sum. Write fractions in simplest form.
Answers
Answer:
i dont know sorry do u know
Solve 3x-5 + x= 31.
09
0-12
O 12
Answers
[tex]3x-5 +x = 31\\\\\implies 4x -5 = 31\\\\\implies 4x = 31 +5\\\\\implies 4x = 36 \\\\\implies x =\dfrac{36}4\\\\\implies x = 9[/tex]
A pet shop offers an iguana for $80 and a parakeet for $40. During a sale, Chris bought the iguana at a 40% discount and the parakeet at a 55% discount. The total amount saved on Chris's new pets was what percent of the total of their original prices?
Answers
Answer:
He save 55$+50$ which is 105$
Step-by-step explanation:
total for iguana is 135$ and parakeet is 90$
= 225$
9.
8. © MP.3 Construct Arguments Jake says
adding O to an addend does not change
a sum. Is he correct? Explain. Include an
equation in your explanation.
Answers
Jake's Argument is correct, adding zero (0) to an addend does not change a sum.
Addend is number which is added to another number.
For example:
y + 5 = 8
where;
5 is the addend number of y in the equation.Adding zero (0) to an addend does not change a sum. An example is present below;
5 + 3 = 8
add zero (0) to 3 and check if the final result will change;
5 + (3 + 0) = 5 + 3 = 8
Thus, Jake's Argument is correct, adding zero (0) to an addend does not change a sum.
Learn more about addend number here: https://brainly.com/question/654494
I don’t understand this please help
Answers
Answer:
i think BC = 8.5
Step-by-step explanation:
19-(2+6.5+2)
19-10.5
8.5
Which fractions are equivalent to the fraction below? Check all that apply.
5/7
Answers
Answer:
A. 10/14
and
C. 15/21
Step-by-step explanation:
A. 10/14
and
C. 15/21
What is the definition of correspondence?
Answers
Answer:
Hey mate....
Step-by-step explanation:
This is ur answer....
an attribute of a shape or relation; exact reflection of form on opposite sides of a dividing line or plane.
Hope it helps!
Brainliest pls!
Follow me! :)
Answer:
The definition of correspondence is the act of conforming or agreeing with someone or something else. An example of correspondence is when a person acts in the same way she appears to think.
In simple terms, it means communication, generally looking at two things and identifying stuff about them
Hope that helps. x
find the probability of making a five digit number form 2,3,4,7,8 in such a way that 7 is the first number and 8 is the last number
Answers
Answer:
n(E) = 6
Step-by-step explanation:
That's to say that there are 6 five-digit numbers with 7 in the first place and 8 in the last place, using the digits 2, 3, 4, 7 and 8. Therefore n(E) = 6.
Please look for the question in the picture.
Answers
Answer: The blue dot's value on the number line is 1.
Step-by-step explanation: Each two-skip interval from -7 to -3 is a skip of 4. Therefore, -3 skipped two times is -3 + 4, which equals 1, therefore the blue dot's value on the number line is 1.
The age melat five times older than the age of hana.In ten years time the ratio of the age of hana to melat is 5:9. find the present age of hana and melat?
Answers
Answer:
carbon take x(1)+4(-2)=0
x(1)-8=0
x(1)=8
x=8
If a square has a side of 4', what would the area be?
A= s2=sxs
A= 42= 4'x4
A= 16 sq. ft.
Answers
Answer:
16 sqft.
Step-by-step explanation:
A=L(W)
A=4(4)
A=16
Hope that helps
Find the quotient: 7,308 divided by 18. A) 46 B) 406 C) 406 10/18. D) 408
Answers
Answer:
7308 / 18
= 406
B is the answer.
Giving brainilest! Find the measures
Answers
Answer:
the answers are <1 = 118°, <2 = 62°
Answer:
∠ 1 = 118° , ∠ 2 = 62°
Step-by-step explanation:
∠ 1 and 118° are corresponding angles and are congruent, then
∠ 1 = 118°
∠ 1 and ∠ 2 are adjacent angles on a straight line and sum to 180°
∠ 2 + 118° = 180° ( subtract 118° from both sides )
∠ 2 = 62°
When Alex went to work the temperature
was -2°F. When he got home from work the
temperature raised 14°. What was the
actual temperature when he got home from
work?
Answers
Can someone please explain this problem to me? i would really really REALLY appreciate it omg
Answers
Answer:
f(0) = 3
f(-2) = -15
Step-by-step explanation:
You just have to plug in the value in f(b) into the b of the equation.
So for f(0) --> 2(0)^3 - |0-4| + 7
2(0) - |-4| + 7
0 - 4 + 7 = 3
------------
for f(-2)
2(-2)^3 -|-2-4| + 7
2(-8) - 6 + 7
-16 -6 + 7 = -15
what is the solution to the system 3x+2y=-3 and 9x +4y=3
Answers
Answer:
x=3, y=-6
Step-by-step explanation:
As you know there are many ways to solve this question! First is Subsitutuion, Second is Elimination, and Third is Graphing!
Let’s begin with our detailed answer:
As you know subsitution is solving for a variable and then it can be used as a variable substitution to figure out x and y.
So in our system of equations:
[tex]\left \ {3x+2y=-3}} \atop {9x+4y=3}} \right.[/tex]
I will just take one equation and solve for x but it actually dosent matter which variable you subsitutue and solve for.
[tex]\left \ {3x+2y=-3}} \atop {9x+4y=3}} \right.[/tex]
To eliminate this question we can divide the top part by -3:
[tex]\left \ {-9x-6y=9}} \atop {9x+4y=3}} \right.[/tex]
Let‘s sum these system of equation and we get: [tex]y=-6[/tex]
We can now insert y as -6 and solve for x:
[tex]3x-12=-3[/tex]
[tex]x=3[/tex]
So, [tex]x=3, y = -6[/tex]
Answer:
(3, - 6 )
Step-by-step explanation:
3x + 2y = - 3 → (1)
9x + 4y = 3 → (2)
Multiplying (1) by - 3 and adding to (2) will eliminate the x- term
- 9x - 6y = 9 → (3)
Add (2) and (3) term by term to eliminate x
0 - 2y = 12
- 2y = 12 ( divide both sides by - 2 )
y = - 6
Substitute y = - 6 into either of the 2 equations and solve for x
Substituting into (1)
3x + 2(- 6) = - 3
3x - 12 = - 3 ( add 12 to both sides )
3x = 9 ( divide both sides by 3 )
x = 3
solution is (3, - 6 )
x^2 + bx - 4 = 0?
What is b equal to?
Answers
[tex]\mathfrak{ x ^ { 2 } + b x - 4 = 0} [/tex]
[tex]\mathfrak{bx-4=-x^{2} } [/tex]
[tex]\mathfrak{bx=-x^{2}+4 } [/tex]
[tex]\mathfrak{xb=4-x^{2} } [/tex]
[tex]\mathfrak{\frac{xb}{x}=\frac{4-x^{2}}{x} } [/tex]
[tex]\mathfrak{ b=\frac{4-x^{2}}{x} } [/tex]
[tex]\mathfrak{b=-x+\frac{4}{x} } [/tex]
AnSwEr
[tex]\boxed{\mathfrak{b=-x+\frac{4}{x},x\neq 0 } }[/tex]
ღ ꪑ꠸᥅ꫀꪊ
A 67-kilogram cannon fires a 1 kilogram cannonball at 45 m/sec. If the cannon is on wheels, at what speed does it move backward?
Answers
Answer:
-1.4 m/sec [backwards]
Step-by-step explanation:
The energy of the cannon moving should be equal to the energy contained in the cannonball. Kinetic energy for each is calculated using KE = (1/2)m[tex]v^{2}[/tex]
Let x be the speed of the cannon.
Cannonball:
KE = (1/2)m[tex]v^{2}[/tex]
KE = (1/2)(1kg)(45 m/sec)^2
KE = 22.5 kg*m/sec^2
Cannon: [The cannon will have the reverse energy]
KE = - (1/2)m[tex]v^{2}[/tex]
22.5 kg*m/sec^2 = -(1/2)(67 kg)x^2
22.5 kg*m/sec^2 = -(33.5 kg)x^2
x^2 = (33.5 kg)/(22.5 kg*m/sec^2)
x^2 = -1.4 m/sec [backwards]
Please help me with this please
Answers
1. Find the equilateral triangle angles in this case all of them are 60
2. 90-60 to right the opposite angle that is divided in the right angle
3. The answer should be the same as angle 2
Acellus. please help me
Answers
by-step explaAnswer:
by-step epla
Step-nation:
a
QUESTION 21 PLEASE HELPPP
Answers
Answer:
one solution
Step-by-step explanation:
Since both are y-isolated equation, we can write as:
[tex]\displaystyle \large{6x-2=4x-2}[/tex]
Solve for x, first move 4x to subtract with 6x and -2 to add with -2
[tex]\displaystyle \large{6x-4x=-2+2}\\\displaystyle \large{2x=0}\\\displaystyle \large{x=0}[/tex]
Then substitute x = 0 in any of these equations which we receive y = -2.
And the solution is (0,-2) which only has one solution.
Please look for the question in the picture.
Answers
Answer:
I beleive the missing value is -3
Step-by-step explanation:
if you plug -3 into the pink box it will give you the result of -5
(anyone is free to correct me)