Answer:
4 mins
Step-by-step explanation:
The time taken by the rocket to reach the ground is 8 seconds
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The toy rocket is launched from a platform
The height of the platform = 12 feet
The initial velocity of the rocket = 128 feet / second
Let the height of the launch be = h
Let the time taken by the rocket be = t
The height after the launch after t seconds is given by the equation
h ( t ) = -16t² + 128t + 12
Now , for the rocket to reach the ground , the equation will be
h ( t ) = -16t² + 128t
Since , it is launched from the 12 foot platform , the equation will be
h ( t ) = -16t² + 128t
The height of the rocket on reaching the ground h ( t ) = 0
Substituting the value of h ( t ) in the equation , we get
h ( t ) = -16t² + 128t
0 = -16t² + 128t
16t² - 128t = 0
16t ( t - 8 ) = 0
t - 8 = 0
Adding 8 on both sides , we get
t = 8 seconds
Hence , the time taken by the rocket to reach the ground is 8 seconds
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Which is the first error that Tomas made? Tomas substituted the 3 for x when he should have substituted 6 for x. Tomas added 6 to both sides of the equation instead of subtracting 6. Tomas should have written the equation as . Tomas substituted 3 for x when he should have substituted 3 for y.
Answer:
Tomas added 6 to both sides of the equation instead of subtracting 6Step-by-step explanation:
Find the complete question in the comment section.
Given the equation 2x+6y=12 to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts.
If he buys 3pounds of granola, and he need to get amount of walnut, he should have substituted x = 3 into the expression to get y as shown:
[tex]2x+6y=12\\2(3)+6y=12\\6+6y = 12\\subtract\ 6 \ from \ both \ sides \\6+6y-6 = 12-6\\6y = 6\\y = \frac{6}{6}\\ y = 1[/tex]
Comparing the calculation with Tomas's, we can see that Tomas added 6 to both sides of the equation on line 3 instead of subtracting 6 from both sides of the equation. This was Tomas first error.
Answer:
Tomas added 6 to both sides of the equation instead of subtracting 6.
Step-by-step explanation: Took test
What type of number is -7.89? Select all that apply
Whole number
Integer
Rational
Irrational
When a parent says "You constantly do that," what do they mean by constantly? Share one thing that you do constantly.
Answer:
they mean you repeat that behavior
Step-by-step explanation:
you constantly are on your phone
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x + 10y = 70
Answer:
y=-4/5 x + 7
Step-by-step explanation:
Subtract 8 x by 8 x. Do not put 8 x under 10 y or 70.
Then divide 10 by all of the terms.
Then you have: y= 7 - 8/10 x
But then you have to flip 7 and - 8/10 x
And get y= -8/10 x + 7
Simplified is y= 4/5 x + 7
REMEMBER: y=m x + b
M= Slope
B= y-intercept
Select the correct answer.
You reflect triangle PQR, with vertices P(-2, -4), Q(-3, -1), and R(-4, -4), across the y-axis to get triangle P′Q′R′. What are the coordinates of triangle P′Q′R′?
A.
P′(-2, 4), Q′(-3, 1), R′(-4, 4)
B.
P′(2, -4), Q′(3, -1), R′(4, 4)
C.
P′(-2, 4), Q′(-3, 1), R′(4, -4)
D.
P′(2, -4), Q′(3, -1), R′(4, -4)
Reset Next
Answer:
C
Step-by-step explanation:
Given the equation 9x - 3y = 27 in standard form. Show how you would convert the equation into slope-intercept form → y = mx + b.
Answer:
y=3x-9
Step-by-step explanation:
Colby and his 3 friends buy lunch. The total is $30.60. If they share the cost equally, how much, in dollars, should each person pay
Answer: Each person pays $10.20
Step-by-step explanation:
Answer:
$7.65
Step-by-step explanation:
can someone find the x for these
5x-14=8x+4
x-1=5x+3x-8
5x+34=-2(1-7x)
2(4x-3)-8=4+2x
-3(4x+3)+4(6x+1)=43
Answer:
-5
1
4
2.5
4
Step-by-step explanation:
A botanist found that 40% of the leaves in a sample of 600 leaves were healthy. How many leaves were in the sample?
Which value of x means that 3x < 2x + 1
Answer:
The answer is: x < 1
Step-by-step explanation:
x square - 5 x - 24 = 0
Answer pls
Answer:
x = -3 and x = 8
Step-by-step explanation:
x^2 - 5x - 24 = 0
First you factor the equation:
(x - 8)(x + 3) = 0
Then set each factor equal to zero.
x - 8 = 0
x = 8
and
x + 3 = 0
x = -3
So you have two possible answers for x -- -3 and 8
Q. If the vertex of a parabola is (3,5), what is the axis of symmetry?
answer choices
y=5
x=5
x=3
There is not enough information provided.
Answer:
x=5
Step-by-step explanation:
The axis of symmetry is x = 3 if the vertex of a parabola is (3,5) option (C) is correct.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We know the vertex form of the parabola is:
y = a(x - h)² + k
Given,
h = 3
k = 5
y = a(x - 3)² + 5
The axis of symmetry:
x - 3 =0
x = 3
Thus, the axis of symmetry is x = 3 if the vertex of a parabola is (3,5) option (C) is correct.
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5% of a number is 23
1% of the same number is 4.6
Work out 16% of the number
The answer fam is.......... 73.6
p(x) = 3x + 4
q(X) = 2x^2
Find a(p(x))
Answer:
0
Step-by-step explanation:
ap/2
A number increased by
7 is less than 14
Answer:
7
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
x+7 < 15
x < 8
...........
multiple choice answer pls find the correct
Answer:
b 29
Step-by-step explanation:
because the angle b and c are the same so both are 100 and that means both angles d and e are the same so add those to angles together get 151
a triangle is equal to 180 so subtract the number 151 from 180 to get your answer then your answer will be 29
Answer:
b
Step-by-step explanation:
180=100 +51 + 29
Find the distance between the 2 planes to the nearest tenth.
Answer:
In this formula, a, b, c and d are the coefficients of the equation describing one of the planes and x1, y1 and z1 are the coordinates of a point in the other plane. The format for the equation of the plane is ax + by + cz + d = 0. If the planes are not parallel, the distance is zero.
Step-by-step explanation:
Answer:
About 22
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
You are taking a road-trip with your friends! You are driving from Detroit to Tennessee which is a 533 mile trip. You stop for gas about 105 miles into the trip and you are hungry! Your plan is to wait to stop for food once you are halfway through the trip. How many more miles do you have left until you stop to eat
Answer:
161.5 miles
Step-by-step explanation:
Given
[tex]Trip = 533\ miles[/tex]
[tex]Gas = 105\ miles[/tex]
Required
Determine the distance left until you stop to eat
From the question, we understand that you plan to eat at half the trip.
This is calculated as thus;
[tex]Eat = \frac{1}{2} * Trip[/tex]
[tex]Eat = \frac{1}{2} * 533[/tex]
[tex]Eat = 266.5[/tex]
Next:
Subtract the distance you got gas from the distance to eat.
[tex]Distance = 266.5 - 105[/tex]
[tex]Distance = 161.5\ miles[/tex]
I forgot how to do these equations and I need help please.
Answer:
D
Step-by-step explanation:
ANSWER ASAP I WILL BE GIVING BRAINLIEST
Answer:
−218.8
Step-by-step explanation:
f(x) = 0.05x²+9.5x-200
f(-2) = 0.05(-2)²+ 9.5(-2)-200
f(-2) = 0.2-219
f(-2) =−218.8
12 hours and 19 minutes multiplied by 10
Answer:
7390
Step-by-step explanation:
there are 720 mins in 12 hours plus the 19 mins is 739 times 10 is 7390
Can somebody plz answer all of these right thx!!!<3
(Only if u remember)
WILL MARK BRAINLIEST !
Answer:
+4 < +6-2 > -3+2 > -1-11 < -8-2 < +6+9 > +8
Negative one eight of a number is - 3/4
Answer:
-1/8 of 6 is -3/4
Step-by-step explanation:
Equation: -x/8 = -3/4
Cross Multiply: -4(x) = 8(-3)
Simplify: -4x = -24
Answer: x=6
Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a \$7.50$7.50dollar sign, 7, point, 50 delivery fee and \$14$14dollar sign, 14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under \$60$60dollar sign, 60.
Each pizza is cut into 888 slices, and she wonders how many total slices she can afford.
Let PPP represent the number of pizzas that Jacque buys.
1) Which inequality describes this scenario?
Answer:
Step-by-step explanation:
Delivery fee = $7.50
Price per pizza = $14
Planned amount = $60
7.50 + 14p < 60
Subtract 7.50 from both sides
14p < 60 - 7.50
14p < 52.50
Divide both sides by 14
p < 52.50 / 14
p < 3.75
Each pizza is cut into 8 slices
Total slices she can afford = 3.75 × 8
= 30 slices
A triangle has angle measurements of 139°, 27°, and 14°. What kind of triangle is it?
What does 3 mean in the function f(x)=2(3)^x
Answer:
The (3) is to multiply 2 x 2 x 2 to get your answer.
Step-by-step explanation:
6. The rungs of a ladder are each perpendicular to one side of the ladder. What can you conclude about the rungs of the ladder? Justify your answer by stating the theorem you used.
Answer: You can conclude that the ladder rungs are parallel using the Parallel Transversal Theorem.
Step-by-step explanation: Picture a ladder, all of the rungs are horizontal, but the sides are vertical. So all of the rungs are perpendicular to the sides, making right angles. If all of the rungs make 90 degree angles to the sides, that means that all of the rungs are straight with no angle. This makes sure that the rungs will not hit each other, so they are parallel.
Please answer for math, thank you!
Answer:
Yuki
Step-by-step explanation:
find the unit rate for each plant. 2.5 divided by 5 is 1, 5.5 divided by 4 is 1.375. 1.375>1, so Yuki
eduardo has 24$ saved . if he saves 8$ each week how much money will he in 5 weeks .
Answer:
is you are not adding in the 24 then 40 if you are adding in the 24 then 64
Step-by-step explanation:
given the equation h(z)=2(z-4),find h(-2).
Answer:
[tex]\boxed {\tt h(-2)= -12}[/tex]
Step-by-step explanation:
We are given the function:
[tex]h(z)=2(z-4)[/tex]
We want to find h(-2) so we must substitute -2 in for each z.
[tex]h(-2)=2(-2-4)[/tex]
Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
Solve inside the parentheses first. Subtract 4 from -2.
[tex]h(-2)=2(-6)[/tex]
Multiply 2 and -6.
[tex]h(-2)=-12[/tex]
For h(z)= 2(z-4), h(-2)= -12
