Answer:
[tex]\displaystyle f(x)=-\frac{1}{24}\left(x-12\right)^2+6[/tex]
Where f(x) models the height, in inches, of the frog's leap after it had leapt x inches.
Step-by-step explanation:
We are given that a frog leaps two feet, with the highest point in the jump being six inches.
Assuming the frog starts at (0,0), we want to find a quadratic function in vertex form for the path of the jump.
First, we will convert the length of the jump to inches. Two feet is equivalent to 24 inches.
Next, since the frog started at (0, 0), in order to jump a length of 24 inches, it must have ended at (0, 24). These two points will also be our two roots: x = 0 and x = 24. We can use the factored form of a quadratic:
[tex]f(x)=a(x-p)(x-q)[/tex]
Where p and q are the roots.
Substitute in the roots:
[tex]f(x)=a(x-0)(x-24)=ax(x-24)[/tex]
Now, since the frog reached a maximum height of six inches, the y-coordinate of the function at its vertex point is 6.
Since a parabola is symmetrical along its axis of symmetry, the axis of symmetry is always halfway between the two roots.
Therefore, the x-coordinate of our vertex is:
[tex]\displaystyle x=\frac{24-0}{2}=12[/tex]
So, when x = 12, f(x) = 6. Substitute:
[tex]6=a(12)(12-24)[/tex]
Solve for a:
[tex]\displaystyle- 144a=6\Rightarrow a=-\frac{1}{24}[/tex]
Therefore, our function is:
[tex]\displaystyle f(x)=-\frac{1}{24}x(x-24)[/tex]
Now, we can place this into vertex form:
[tex]\displaystyle f(x)=a(x-h)^2+k[/tex]
Where a is the leading coefficient and (h, k) is the vertex.
Our leading coefficient is -1/24, and the vertex is (12, 6). Hence, our function is:
[tex]\displaystyle f(x)=-\frac{1}{24}\left(x-12\right)^2+6[/tex]
Where f(x) models the height, in inches, of the frog's leap after it had leapt x inches.
true or false The absolute value of a number can be negative. answer and I give you 70 points
Answer:
true
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
-I-7I
Hence, -7
Hope it helps!
Skye made a deposit of $625 into an account that earns 4% simple interest for 6 years. How much did Skye earn in interest at the end of 6 years?
Answer:
She will earn 150$
Step-by-step explanation:
4% = 0.04
0.04 x $625 = 25
Now we divide 25 by the number of years, which is 6.
6 x 25 = 150$
Therefore, Skye earns 150$ from interest over the course of 6 years.
Plsss help me with this if you know how to solve this plsss help me with it thank you also remember NO LINKS AND NO DOING IT JUST FOR POINTS OR YOUR ANSWER WILL BE REPORTED i figured out angle 8 since its in the second question so all i need is the rest of them so plss help me
Plz help ASAP I’ll give brainliest I’ll be so grateful but don’t copy off website:)
Answer:
You can find X in an equation by doing the opposite operation from both sides. For example, let"s do 5x=25. Since there is multiplication, we can use division to isolate the variable. You would divide both sides by the coifeiccent to get x=5.
Step-by-step explanation:
I learned how to find the area of a triangle with 2 numbers (0.5*b*h), but how do you find the area with 4 numbers?
Answer:
area =12
Step-by-step explanation: you don't need to use all 4 numbers just used the base which is 8 then times it with 3 which gives you 24 then divided it by 2 which gives you 12.
Answer:
Area=12
Step-by-step explanation:
You take the height which is 3 and multiply it by the base which is 8. Then you get 24 and divide it by 2 which gives you 12.
*The 5s don't matter*
pleas help i dont understand
Answer:
C. (the yellow one) and A. (the dark blue one)
Step-by-step explanation:
Half of 14 is 7. Half of 100 is 50. They are both equivalent because they are both 1 half.
The diagram shows three squares that are joined at the vertices to form a right triangle.
Which of the following statement(s) are true?
I. The sum of the areas of square N and Square L is equal to the area of Square K.
II. The sum of the areas of Square N and Square L is greater than the area of Square K.
III. The sum of the areas of Square N and Square K is greater than the area of Square L.
IV. The sum of the areas of Square N and Square K is less than the area of Square L.
Answer:
the first statement ( I )
Step-by-step explanation:
Francisco is playing a game with 3 green, 2 yellow, 4 red, and 3 black marbles in a bag. He has calculated the probability of drawing a yellow marble, not replacing it, and then drawing a red marble. Explain the error in his solution.
(StartFraction 2 over 12 EndFraction) (StartFraction 4 over 12 EndFraction) = StartFraction 8 over 144 EndFraction
pls help!
Answer:
mag sagot ka module mo yan
Answer:
The probability is not 4/12 for the red marble, but 4/11
Step-by-step explanation:
Francisco calculated to probability of drawing a yellow marble correctly, but since he isn't replacing it, the amount of marbles in the bag is not 12, but 11. Since there are 4 red marbles, the probability is 4/11
BRAINLY IF YOU DO IT RIGHT AND WITH EXPLANATION
In Carl Sandburg's poem "Fog," how do readers know that fog is being compared to a cat?
It is directly called a cat.
It is shaped like a cat.
It sounds like a cat.
It moves like a cat.
Answer:
It moves like a cat.
Step-by-step explaination:
The fog is compared to the way a cat moves
Answer:
it moves like a cat.
Step-by-step explanation:
Carl Sandburg describes the fog as arriving "on cat feet," sitting silently, and then slipping quietly away. Therefore moves like a cat.
Find the area of the shape shown below... please
Answer:
12.5
Step-by-step explanation:
You would solve by taking A=1/2(7.5+2.5)*2.5=12.5
which of the following values satisfy the inequality shown? you must select all that apply -4≤20
A. 1
B. -1
C.-3
D.-5
E.-7
F. -9
To the nearest hundredth, what is the surface area that will be painted?
Answer:
6.5in
Step-by-step explanation:
find the area of the shaded regions
fine the surface area of the square
A = 2×2
A = 4
find the area of the triangle
A = 1/2bh
A = 1/2×2×2.5
A = 2.5
add the areas
2.5+4 = 6.5
plz help no explenation needed
Answer:
Its the first one
Step-by-step explanation:
T is the independent variable and M is the dependent variable.
ALSO i love your pfp :D
Answer:
t is the independent variable and m is the dependent variable
Someone please help me?! (Theoretical Compound Probability)
Answer:
1. 5/40
2. 3/20
3.
4. 0
Step-by-step explanation:
1. 5/40
There are 5 pairs of 6 inch pliers out of a basket with 40 pliers in the basket. So there is only a 2% chance one of those pliers would get chosen so its impossible to happen.
2. 3/20
There are 3 large hammers in the basket which has 20 hammers in it. So there is only a 15% chance so its not likely to happen.
3. I don't really know about this one
4. 0%
There are no 6 inch pliers in the second basket whish only has 20 hammers in it so it is impossible to pick one out because there's a 0% chance of it happening
I NEED HELP ASAP ILL MARK AS BRAINLIEST IF CORRECT!
Answer: A. $30.00
Step-by-step explanation:
1. Find the common difference, or by how much the value changes per pound. Divide the price of the sales by the amount of pounds to find the rate. The rate must be $2.50 since 10 ÷ 4 = 2.5. To confirm, use 2 or 3 pairs of values. 15 ÷ 6 = 2.5, which confirms that the common difference is 2.5. This means that every pound of asparagus is $2.5.
2. Now that the rate is known, multiply it by 12. 2.5 * 12 = $30.00, which is the final answer.
Each of these is proportional to the other. Meaning, if you put the price over the pounds, then you get a fraction that remains consistent throughout the entire table and beyond.
[tex]\frac{price}{pounds}=\frac{10}{4} =\frac{5}{2}[/tex] so [tex]\frac{5}{2}[/tex] will be our constant ratio. With our formula, we know that the two equal each other, so [tex]\frac{price}{pounds}=\frac{5}{2}[/tex].
[tex]\frac{x}{10}=\frac{5}{2}\\[/tex] so [tex]2x=50\\x=25[/tex]
[tex]\frac{x}{12}=\frac{5}{2}[/tex] so [tex]2x=60\\x=30[/tex]
12 pounds of asparagus is $30.00
Kaycee needs to save $45 to buy a skateboard. She has already saved $21.50. Kaycee wants
know how much more money she needs to save.
Lets be the amount of money Kaycee still needs to save.
Describe the situation with an equation.
21.50 + 8 = 45
How much money does Kaycee still need to save?
Kovcee still needs to save S
I'm stumped. Honestly. Please help
Answer:
1: Tip, $2.23
2: Tax, $0.74
3: Total, $17.87
4: Split, $5.95
Step-by-step explanation:
To find the tip, you must multiply the tip percentage by the bill, (which has not been taxed yet). The tip is 15%, which is equivalent to 0.15. The tip multiplied by the bill (0.15×14.90) equals $2.23.
To find the tax, you do the same as you did with the tip. The tax is 5%, which equals 0.05. The tax multiplied by the bill, (0.05×14.90) equals $0.74. The total cost is the bill, tip, and tax added together, (14.90+2.23+0.74) equals $17.87. To find out how much each person will pay equally, you must divide the total bill by the amount of people, (17.87÷3) which equals $5.95.
will give brainliest or however its spelled THis will have to things you need to help me with!! I need help now because its due at 2:30 and where I live its 1:50. 19 points PLEASE HELPPPP!!!!! Tomas got a score of 75% correct on an exam. There were 24 questions on the exam. What number of questions did Tomas get correct?
A
6
B
12
C
16
D
18 Read the question and type your response in the box provided. Your response will be saved automatically.
The Jackson family is driving from Boston to New York for a summer vacation trip. So far, they have driven 84 miles which is 40% of the total miles of their trip. How many miles is the Jackson’s trip from Boston to New York?
Explain how you solved this problem in the box below. Include a description of your strategy and your answer in your explanation.
Answer:
18
Step-by-step explanation:
How is an article using the hourglass technique organized? A. Lead, turn, narrative B. Lead, narrative, conclusion C. Headline, turn, conclusion D. Headline, turn, narrative journalism
Answer:
D
Step-by-step explanation:
on edge 2021
I meant to put the file but i guess it didnt upload.
Answer:
8
Step-by-step explanation:
The coordinates of the following points represent the vertices of a
rectangle. W: (3,3) X: (8,3) Y: (8,7) Z: (3,7) What is the perimeter, in units, of
rectangle WXYZ? *
3
9
18
20
36
Solve 24 =y +17.5 y=
Answer:
[tex] \sf \: y = 6.5[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of y.
The equation is,
→ 24 = y + 17.5
Then the value of y will be,
→ 24 = y + 17.5
→ y + 17.5 = 24
→ y = 24 - 17.5
→ [ y = 6.5 ]
Hence, the value of y is 6.5.
Helppppppppppppppppppp
Answer:
y- -4=-2(x- -1)
Step-by-step explanation:
im pretty sure
You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth.
The probability of spinning an odd number, not flipping heads, then not spinning a 6 is
__
Using it's concept, it is found that the probability of spinning an odd number, not flipping heads, then not spinning a 6 is:
[tex]p = \frac{20}{81} = 24.69\%[/tex]
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
There are 5 odd numbers in the spinner, out of 9, hence the probability of spinner an odd number is 5/9.The coin is fair, hence the probability of flipping tails = not heads is of 1/2.Out of the 9 numbers in the spinner, only one is six, hence the probability of not spinning a 6 is of 8/9.Then, the probability of the compound event is:
[tex]p = \frac{5}{9} \times \frac{1}{2} \times \frac{8}{9} = \frac{20}{81} = 24.69\%[/tex]
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
HELP PLEASEEEEE( NO LINKS ) please don´t give me a incorrect or absurd answer ive asked many times i just want help, if your not willing to help.. leaveeee!
Answer: A is yes. B is no, C is yes
Step-by-step explanation: The reason A is yes, is because the terms are 27b, 12b and 4 because they are separated. The reason B is no, is because the like terms are 27b and 12b because their variables are alike. The reason C is yes, is because 27b+12b=39b+4 is an équation simplified.
No link just right answer
Answer:
1/8 in^3 (cubed)
Step-by-step explanation:
multiply each side(it's a bit easier when you make it a decimal first then switch it back to fraction form) and cube the answer.
Hope this helps
30 points !! Please help, If you wanna do the work then i'll give brainliest but you dont have to. DO NOT!! I REPEAT DO NOTT!! DO ANSWER THE QUESTION IF YOU DONT KNOW THE ANSWER. Thank you in advance :D <3.
Answer:
1. 21.08 - (-45) = 66.08
2. 63.7 + (-26) = 37.7
3. 248.7 + (-34.2) =214.5
4. 39.21 - 42.71 = - 3.5
Answer:
Step-by-step explanation:
Equation is below
1 .21.08-(-45)
21.08+45
66.08
2. (-79)+(-35)
-79-35
-114
3. 63.7+(-26)
37.7
4. 764.59+52.41
817
5. 248.7+(-34.2)
248.7−34.2
214.5
7. 39.21-42.71
39.21+-42.71
-3.5
8. (-263)-178
-263+-178
-441
Hope this helped
Solve – 7 = 12x – 16. Show your work.
Pls help i will give brainly
Answer:
0.75
Step-by-step explanation:
Add sixteen on both sides
9 = 12x
Divide by 12
x = .75
Complete the statements to find the measurements of ∠a and ∠b .
Find the measurement of ∠a.
m∠a +
°=180°
m∠a =
°
Find the measurement of ∠b.
m∠b +
° +
° =180°
m∠b =
°
Answer:
Step-by-step explanation:
We know that a straight angle is equal to 180°. Therefore, 120°+(a)=180°
We can solve for (a) by subtracting 120 from 180, which is 60.
180-120=60
m∠a+120°=180°
m∠a=60°
We know that the sum of all angles in a triangle is 180°.
Therefore, (a)+60°+(b)=180°
We know that (a) is equal to 60°, so our new equation is:
60°+60°+b=180°
60+60=120
180-120=60
m∠b+60°+60°=180°
m∠b=60°
Describe the data in the table
Answer:
the higher the magnitude, the the lower the frequency.