Answer:
1) true 2) b 3) a 4) c 5) a 6) a 7)b 8) false 9)c 10) b?? 11)a 12)a 13)b 14)b
Step-by-step explanation:
15)a 16)a 17)a 18)a 19) a
i hope this helped sorry if i got some wrong
A frog leaps 2 feet. The highest point in the jump is 6 inches. Assume the frog starts at (0, 0). Write a quadratic function in vertex form for the path of the jump. Specify the units you use.
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.
someone help please and no bias answers
Answer:
C, 8.5
Step-by-step explanation:
The area of a rectangular prism is Length times Width times Height. If the volume of the tank (which is a rectangular prism) is 1360, then the L x W x H is 1360. The area of the base of the tank is determined by multiplying the Length and the Width together, so that means that L x W = 160.
Our first equation
L x W x H = 1360
Our second equation
L x W = 160
We see that 1360 divided by 160 gets us the height of the prism.
1360 / 160 = 8.5, so the answer is C
Consider f(x) = 3x. Describe how the graph of each function compares to f.
Answer:
F(3x) must equal G(x). I don't know if this helps but it's all I could think of.
An aquarium tank in the shape of a rectangular prism is 57 cm long, 28 cm wide, and 24 cm high. The top of the tank is open, and the glass used to make the tank is 1 cm thick. The volume for the aquarium is 37,352 cm3. What if, to provide greater strength, the glass bottom were increased to a thickness of 4 cm? How much less water would the tank hold?
Answer:
952 l
Step-by-step explanation:
Which solid figure does this net represent?
A) cone
B) square pyramid
C) rectangular prism
D) triangular pyramid
Answer:
rectangular prism
Step-by-step explanation:
please help thank you
Answer:
[tex]\frac{7}{22}[/tex], the total sum of the money is
Step-by-step explanation:
1- [tex]\frac{5}{11}[/tex]= [tex]\frac{6}{11}[/tex]
[tex]\frac{6}{11}[/tex]*[tex]\frac{7}{12}[/tex]= [tex]\frac{7}{22}[/tex]
x* [tex]\frac{7}{22}[/tex]= 4500
4500/[tex]\frac{7}{22}[/tex]= about 14142.85
this is what I got out.
1. Express each of the following as a rational number.
(i) 4.12˙5˙
(ii) -2.03˙
(iii) 10.1˙23˙
(iv) 0.46˙72˙
NO LINKS ACTUAL ANSWERS
What is the area of the figure below?
40 mm 2
88 mm 2
80 mm 2
96 mm 2
Answer:
the area of the figure below is 56mm
Answer:
88 mm 2
Step-by-step explanation:
The small top recatngle has an area of 16 and the large bottom one has an area of 72. Add them together and you get 88 mm 2.
if the GCF/HCF and LCM of 30 and an integer "n" are 6 and 20 respectively, find "n".
HEEELLLPPPP PLLLZZZ TT^TT
Answer:
1. 454
2. 96
Step-by-step explanation:
1. To find The surface area, find the are of each side. The bases of the triangular prism have the same surface area,
Surface area of triangle: 1/2b*h, half of the base times the height. base = 8, height = 10, 1/2(8) * 10 = 4*10 = 40, the other side has the same area, so double it to get 80.
The surface area of one of the rectangle is 11*14, another is 12*11, and the last is 11*8, multiply all to get 154, 132, and 88, and 154 + 132 + 88 + 80 = 454
2. The two triangles is 1/2b * h, b = 6, h = 2, 1/2(6) * 2 = 3*2 = 6, double it because there is another triangle to get 12
The three rectangles are 3*7 + 3*7 + 6*7 = 21 + 21 + 42 = 84, 84 + 12 = 96
A construction company is building the house show below. They need to use a scale of 1 in: 8f. They measured the drawing to find that that the height of the building is 2.5 in. Explain to the construction workers how they would use this information for calculate the height of the final building.
I need help asap and no links please
Answer:
They would have to multiply 2.5in and 8 ft because the ratio is 1in:8ft and the inches go up and you have to keep the ratio at the same value so you multiply 2.5 and 8
Step-by-step explanation:
G.O and his neighbors clear a rectangle area 8 1/2 feet by 6 1/4 feet to plant shrubs. Now they have to decide how many shrubs to plant and how much water to use on the shrubs. shrub planting instructions: each shrub needs an area of about 2 square feet. each shrub will need about 1.25 liters of water a week. how many shubs should G.O plant? how much water will the shrubs need?
Answer: 26 shrubs and 33.203 liters
Step-by-step explanation: find the area and then divide by 2 because each plant needs 2 ft of space. Then multiply each shrub by the amount of water needed
HELLLPP PLEASE! Thank you!!
pls help me on math.
Answer:
1/2
Step-by-step explanation:
Several students in Ashton’s class were randomly selected and asked how many text messages they sent yesterday. Their answers were 1, 0, 10, 7, 13, 2, 9, 15, 0, 3.
Find the range for these data.
Answer:
Hello Love!
All range is in math Is the highest number subtracted by the smallest number so our equation is 15 - 0 = 15
so 15 is our range!
I'm gonna need a LOT of help with math- I am once again asking for math help :')
Here is an expression 3.2 evaluate the expression when t is 4 middle school math
Answer: Answer: C. 3.2 × 10^4
Step-by-step explanation: for this case the multiplication of the values with exponent are summed, as the exponent are the 6 and -3
6 - 3 = 3
this will be the exponent of the common value which is the 10.
after you only need to multiply 8 and 4 by separate the
8 * 4 = 32.
then we only need to place the values one by one
32 × 10^3
3 is the result of the sum of the exponent.
10 is the common value.
32 is the result of the product.
if we add another zero to the multiplication we get 3.2 and exponent finish with one more zero, then we get this result
3.2 × 10^4
because of that the C is the correct answer, keep in mind that the other answers do not apply correctly the rule of the exponent, because the rest of answer give us wrong answer with final result of the exponent.
Can anyone help me with this please? It's the system of equations and I'm stuck...
Which function has a range of f(x) ≤ 3/4?
A. f(x) = 3/4 x + 5
B. f(x) = -x^2 + 3/4
C. f(x) = x^2 - 3/4
D. f(x) = 3/4 - 5x
Answer:
B
Step-by-step explanation:
I put A and got it wrong. The correct answer is B.
The function has a range of f(x) ≤ 3/4 is f(x) = -x² + 3/4.
What is an function?An function is an expression that shows the relationship between two or more numbers and variables.
The range of a function is the set of all output variables.
From the graph plotted;
The function has a range of f(x) ≤ 3/4 is f(x) = -x² + 3/4.
Find out more on equation at: https://brainly.com/question/2972832
The table shows the number of wins of each school baseball team over the last six years. Find the mean absolute deviation for each set of data. Round to the nearest hundredth if necessary. Then write a few sentences comparing their variation. Number of wins per season, Bears:7, 10, 13, 12, 9 Saints:12, 15, 10, 14, 13
Answer: Bears: 1.80 Saints: 1.40
Step-by-step explanation: Hope this helps!!
A cone has a volume of 263.76 cubic yards and a height of 7 yards. What is its radius?
Use a ~ 3.14 and round your answer to the nearest hundredth.
Answer:
6
Step-by-step explanation:
Identify the percent of change as an increase or decrease. Then find the percent of change. Round to the nearest tenth of a percent, if necessary.
72 people to 36 people
Answer:
= 50% decrease
Step-by-step explanation:
There is a percentage decrease of 50% in the number of people from 72 people to 36 people
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
There is a change of 72 people to 36 people, hence:
Percentage change = [(36 - 72) / 72] * 100% = -50%
There is a percentage decrease of 50% in the number of people from 72 people to 36 people
Find out more on equation at: https://brainly.com/question/2972832
Two sides of a triangular tile measure 4 inches and 6 inches. The length of the third side is either 7 inches or 10 inches. Which lengthis the correct length for the third side?
A.) 7in
B.) 10in
plz help no expleanation needed just awnser plz
m is independent variable and p is dependent variable.
Because number of pair of shoes depend on the number of miles run by her.
A circle has a diameter of 8. What is the area in terms of π?
Answer Choices:
4π
8π
16π
32π
Answer:
16π
Step-by-step explanation:
ooohhhh, that makes so much more sense, I wasn't actually supposed to substitute 3.14 for π, whoops, sorry
PLEASE HELP WILL GIVE BRAINLIEST
17. The figures below are similar. What is the length of x? Please help, I legit have no clue why math even exists-
Answer:
20in
Step-by-step explanation:
To find the rate of which they are similar all you have to do is divide 10 by 4 or 15 by 6 to get a rate of 2.5 then multiply that rate by 8 to find your answer
Can someone explain why i got this answer wrong and how to get the answer!
And please someone help me
Answer:
the answer is 22%
Step-by-step explanation:
you had the right number you just forgot to add the percent sign. When you have a question like that make sure to add the measurement or the defining part of the number like % or mm or ft
21 POINTS PLEASE HELP
The length of Side C D is 11 inches and the length of Side C F is 11 StartRoot 3 EndRoot inches. What is the length of Side D F? Round to the nearest tenth.
A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.
A) 11 inches
B) 15.6 inches
C) 19.1 inches
D) 22 inches
Answer:
b 15.6 would be correct
Step-by-step explanation:
Cindy baked 6 cakes to raise money for her track team. The total cost for all of the ingredients for her cakes is $30.00. She will sell each cake for $12.00. Use a function to model the money Cindy could raise for her track team.
Part A: Write a rule in function notation.
Part B: What is the domain of this function?
Part C: What is the range of this function?
Part D: Explain if the graph of this function would be continuous or discrete.
(Same question for the 5th time because of spam which is ridiculous...
Answer:
12+12=24x3
Step-by-step explanation: