Answer:
The first click beetle went higher.
Step-by-step explanation:
The vertex is the minimum point of a parabola that opens upwards, or the maximum point of a parabola that opens downwards.
Since the height of each of the beetles at time, t seconds, is modelled as a parabola that opens downwards, the maximum height of each beetle is the y-value of the vertex.
First Click BeetleThe function representing the height, h, of the first beetle is:
[tex]h(t)=-16t^2+8t[/tex]
We could complete the square to rewrite the function in vertex form, however the quickest way to find the vertex of a quadratic function in the form ax² + bx + c is to use the formula for the x-value of the vertex:
[tex]\boxed{x_{\sf vertex}=-\dfrac{b}{2a}}[/tex]
Comparing ax² + bx + c with the given function:
a = -16b = 8c = 0Therefore, substituting the values of a and b into the formula, the x-value of the vertex of h(t) is:
[tex]x_{\sf vertex}=-\dfrac{8}{2(-16)}=0.25[/tex]
To find the y-value of the vertex, and thus the maximum height of the first beetle, simply substitute t = 0.25 into function h(t):
[tex]\begin{aligned}\implies h(0.25)&=-16(0.25)^2+8(0.25)\\&=-16(0.0625)+2\\&=-1+2\\&=1\end{aligned}[/tex]
Therefore, the maximum height of the first beetle is 1 foot.
Second Click BeetleFrom inspection of the given graph modelling the height of the second beetle, we can see that the maximum y-value is approximately 0.76 feet.
ConclusionAs the height of the second click beetle is less than the maximum height of the first click beetle, the first beetle went higher.
Please Help!!! I will give brainlist if right and explained!!!
Mr. Lewis borrows $4,200 from his bank to buy a motorcycle. The loan has a 5% annual simple interest rate. If it takes Mr. Lewis three years to pay back the loan, what is the total amount he will be paying back?
(include the $ symbol)
Answer:
$4,200 + $4,200(.05)(3) = $4,830
Step-by-step explanation:
Principal = $4,200
Interest = $4,200(.05)(3) = $630
Total = $4,200 + $630 = $4,830
Please help me,
Gia is thinking of a number, which she calls n. She adds 4 to the number and then doubles the sum.
Write an expression to represent Gia's number.
(I don't know what the expression is, if u can help me, please write the answer! :)
Answer: 2n + 8
Step-by-step explanation:
1st part:
n + 4
2nd part:
Multiplies the 1st part by 2
2(n + 4)
2n + 8
Which angle is adjacent to ADB?
Using the data below, what conclusions could you NOT draw? Select all that apply.
The longer car will travel the fastest down the ramp
The car with more mass will travel the fastest down the ramp.
The car with the least mass will travel the fastest down the ramp.
Changing the ramp height will cause the car to travel faster.
Answer:
The longer car will travel the fastest down the ramp
The car with the least mass will travel the fastest down the ramp
Changing the ramp height will cause the car to travel faster
Step-by-step explanation:
The longer car will travel the fastest down the ramp
On the table, we are not told what effect a longer car would have on the time taken. We are only told about the mass of car, this means that this would be one of the conclusions you could not draw.
The car with the least mass will travel the fastest down the ramp
We can see on the table that the higher than mass of a car, the quicker the car takes to go down the ramp. This is as the time taken is shorter so it had taken less time. This opposes the statement we are given therefore it should be incorrect.
Changing the ramp height will cause the car to travel faster
On the table, there is not information regarding ramp height meaning that this statement would automatically be incorrect
Hope this helps, have a lovely day! :)
What is an angle that is complementary to FGA?
Answer: Angle AGB
Step-by-step explanation: Complementary angles are two angles that in total their measures add up to 90 degrees.
We can see the opposite angle across FGB, CGB is a right angle so therefore it means FGB is a right angle.
Since we know FGB is a right angle, FGB + AGB = 90 degrees
I need help on this.this is for homework help me please
Answer:Statistical,Both
Step-by-step explanation:
Its right trust !
5 (10.3) - 4 ( 2 - 2y)
A co-worker notices that the original box costs $0.22 per square foot of cardboard, and the new box costs $0.15 per square foot of cardboard. She claims that the new box must cost less than the original box. Explain why your co-worker's claim is incorrect. Include all necessary work to support your answer.
pls help
Answer:
Original box costs less than the new box.
Step-by-step explanation:
A). original box has a surface are of 216 sq in
2(10x6)+2(6x3)+2(10x3) = 216sq in
216sq in/144sq in = 1.5sq ft
1.5 sq ft x .22 = .33 per sq ft
B) new box has a surface area of 434 sq in
2(15x11) + 2(11x2) + 2(15x2) = 434 sq in
434sq in/144 sq ft = 3.01sq ft
3.01 sq ft x .15 = .45 per sq ft
help me solve the following with each step explaining square binomial (4x-5y)²
To expand the square of the binomial `(4x-5y)²`, you can use the FOIL method or the binomial square formula:
Using FOIL:
(4x - 5y)² = (4x - 5y)(4x - 5y) (writing out the square as a multiplication of the binomial by itself)
= 16x² - 20xy - 20xy + 25y² (using the FOIL method)
Simplifying:
= 16x² - 40xy + 25y²
Using the binomial square formula:
(4x - 5y)² = (4x)² - 2(4x)(5y) + (5y)² (formula: (a - b)² = a² - 2ab + b²)
= 16x² - 40xy + 25y²
Thus, the expanded form of the binomial `(4x-5y)²` is `16x² - 40xy + 25y²`.
Answer:
i do not know where the following is but here.
Step-by-step explanation:
To square the binomial (4x-5y)², we can use the formula:
(a - b)² = a² - 2ab + b²
In this case, a = 4x and b = 5y. So, we have:
(4x - 5y)² = (4x)² - 2(4x)(5y) + (5y)²
Simplifying the terms inside the parentheses, we get:
= 16x² - 40xy + 25y²
Therefore, the square of the binomial (4x-5y) is equal to the trinomial 16x² - 40xy + 25y².
Each term in the trinomial is obtained by squaring the corresponding term in the binomial and then applying the formula for the cross-product (-2ab).
So, (4x)² = 16x², (5y)² = 25y², and (-2)(4x)(5y) = -40xy.
Therefore, (4x-5y)² = 16x² - 40xy + 25y².
1) Is this figure a polygon? Yes or no.
Answer:no
Step-by-step explanation:
it does not have 4 sides.
Pls solve and give all steps with work
Answer:
y = 6
z = 3.25
x = 3.5
Step-by-step explanation:
12 * 0.5 = 6
6.5 * 0.5 = 3.25
7 * 0.5 = 3.5
X = 3.5 inches
Y = 6 inches
Z = 3.25 inches
Step-by-step explanation:Length of the larger tissue box = 12 inches
Breadth of the larger tissue box = 6.5 inches
Height of the larger tissue box = 7 inches
The small tissue box is dilated by - 0.5
So, the measures of the smaller tissue box is 0.5 times the larger tissue box.
Measures of the smaller box will be -
Length of the smaller tissue box = 12 * 0.5
= 6 inches
Breadth of the smaller tissue box = 6.5 * 0.5
= 3.25 inches
Height of the smaller tissue box = 7 * 0.5
= 3.5 inches
According to the variables,
X = Height
Y = Length
Z = Breadth
Height = 3.5 inches
Length = 6 inches
Breadth = 3.25 inches
X = 3.5 inches
Y = 6 inches
Z = 3.25 inches
Hope my answer helps you.
:)
Please mark my answer as the BRAINLIEST. Plssssssssssssssssssss
The dot plot below represents the number of goals scored by the boys' soccer team in every game so far this season. please help me
Please answer this question fast.
Answer:
1.5
Step-by-step explanation:
[tex]30\div20[/tex]
The solution is, the scale factor is 1.5.
What is scale factor?A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.
here, we have,
given that,
from the given diagram, we get,
there are two squares with side 20 and, 30
one square is scaled copy of the other,
so, the scale factor is :
length of scaled square/ length of normal square
= 30/ 20
=3/2
=1.5
Hence, The solution is, the scale factor is 1.5.
To learn more on scale factor click:
brainly.com/question/5992872
#SPJ5
Which angle is complementary to EFA?
Answer: DFE
Step-by-step explanation:
complementay=90 degrees
What is the distance between -4 and its' opposite on the number line? 4 8 - | -8| -4
AWNSER CORRECTLY PLEASE I NEED TO RASIE MY GRADE SOMEONE PLEASE ASAP AND CORRECTLY
The distance between -4 and its opposite on the number line is 8 units
We know that opposite of 4 is −4.
So, we need to find the distance between 4 and −4 on number line.
We know that absolute value of −4 and 4 is 4
So, the distance between −4 and 4 is 8 units.
5x=0.4 do i multiply each side by 5,-5,1/5 or -1/5
Step-by-step explanation:
5x=0.4
5x=2/5
Multiply with 5 to remove the fraction
Please add explaination
According to some estimates, our galaxy, the milky way contains about two hundred billion stars. Use digits to write that number of stars
WILL MARK BRAINLIEST!!!!!!
A city just opened a new playground for children in the community. An image of the land that the playground is on is shown.
A polygon with a horizontal top side labeled 50 yards. The left vertical side is 35 yards. There is a dashed vertical line segment drawn from the right vertex of the top to the bottom right vertex. There is a dashed horizontal line from the bottom left vertex to the dashed vertical, leaving the length from that intersection to the bottom right vertex as 18 yards. There is another dashed horizontal line that comes from the vertex on the right that intersects the vertical dashed line, and it is labeled 20 yards.
What is the area of the playground?
1,750 square yards
1,855 square yards
2,730 square yards
3,710 square yards
Answer:
1250
Step-by-step explanation:
To calculate the area of the playground, we need to divide it into two smaller polygons: a rectangle and a right triangle.
The rectangle has a width of 50 yards and a height of 18 yards, so its area is:
50 yards x 18 yards = 900 square yards
The right triangle has a base of 20 yards and a height of 35 yards, so its area is:
(20 yards x 35 yards) / 2 = 350 square yards
The total area of the playground is the sum of the areas of the rectangle and the triangle:
900 square yards + 350 square yards = 1250 square yards
Therefore, the answer is not listed among the options provided. Perhaps there was an error in the given dimensions, or the correct answer was not included.
Please help,
(It’s due tomorrow by the way)
Answer:
50x5
Step-by-step explanation:
2(x +3) = 2x + 6 is an example of which property?
The property of the given expression [tex]2(x +3) = 2x + 6[/tex] is an example of Distributive property.
You distribute the 2 to the x and get 2x, then distribute the 2 and the 3. [tex]2\times3=6[/tex]. This gets you [tex]2x+6[/tex].
Answer: Distributive property over addition
Step-by-step explanation: You are distributing 2 to in terms inside the parentheses, x and 3.
A wedding photographer charges a $50 sitting fee plus $40 per hour (h).
write an exspression to represent the problem
please
Answer:
c = 40h + 50
Step-by-step explanation:
c = the amount charged for the wedding pictures.
h = the number of hours
Helping in the name of Jesus.
Step-by-step explanation:
c = 40h + 50
Step-by-step explanation:
c = the amount charged for the wedding pictures.
h = the number of hours
PLEASE HELP! DUE TODAY
Find the area of the irregular figure.
Answer: 4,763cm
Step-by-step explanation:
figure out the first rectangle, 70 x 48= 3360
Then find the bottom number with the inner height 38 x 23 = 874
Next, you would move the triangle that is dotted over to the undotted on on the right to get a square giving you 23 x 23 = 529
In the end you add it all 3,360 + 874 + 529 = 4,763
Solve and show steps
Answer:
Step-by-step explanation:
6.25 inches
Step-by-step explanation:Fraction of an inch that is used to represent 3 miles = 3/4 inch (0.75 inch)
Number of miles that is used to represent 3/4 inch = 3 miles
Fraction of an inch that is used to represent 1 mile = 3/4/3 inch
= 0.75/3
= 0.25 inch
Number of inches that are used to represent 25 miles = 3/4/3 * 25
= 0.75/3 * 25
= 0.25 * 25
= 6.25 inches
So the length of the map = 6.25 inches
Hope my answer helps you.
:)
Please mark my answer as the BRAINLIEST. Plssssssssssssssssssss
petra jogs 3 miles in 27 minutes. find the unit rate in minutes per mile. how long would it take for her to jog 5 miles? show your work.
Answer: It would take her 45 minutes to jog 5 miles because first you have to divide 27 by 3 and you get 9 and then you multiply 9 by 5 and you get 45
*50 points* Geometry 7th grade
Please please PLEASE help
Answer:
D. Angles 2,4
Step-by-step explanation:
They are both adjacent, which makes the answer D. the correct answer.
Answer:
B
Step-by-step explanation:
Both have a common vertex and side (next to each other).
Pls solve show each step
The scale is 1cm = 50m
So height in model = 381/50
= 7.62cm
Answer: 7 31/50 cm
Step-by-step explanation:
The scale is 50 m = 1 cm
381 divided by 50 is 7 r31
This means that the height of his model in centimeters is 7 31/50 cm.
Hope this helps!
EXPANDING BRACKETS -
x(3x+2)
Answer:
[tex]3 {x}^{2} + 2x[/tex]
Step-by-step explanation:
Expanding brackets means multiplying every term inside the bracket by the term on the outside and then collecting like terms with the aim of removing the set of brackets
[tex]x(3x + 2) = 3 {x}^{2} + 2x[/tex]
3x² + 2x
Step-by-step explanation:Given equation, x(3x + 2)
= x(3x + 2)
Distributive property
= {(x * 3x) + (x * 2)}
= {(1 * x * 3 * x) + (1 * x * 1 * 2)}
Rearranging like terms
= {(1 * 3 * x * x) + (1 * 1 * 2 * x)
= [{(1 * 3) * (x * x)} + {(1 * 1 * 2) * x)}]
= {(3 * x²) + (2 * x)}
= (3x²) + (2x)
= 3x² + 2x
Multiple choice need help
It’s the problems on the top the matching question
Answer:
A3
B1
C2
D4
Step-by-step explanation:
whats the surface area of this rectangle?
1cm 8cm 4cm
Question:
whats the surface area of this rectangle?
1cm 8cm 4cm
Answer:
13 cm