Answer:
1) 147≥x≤1.47
2) x≥8 hours of sleep
3) x≥50 popsicles
Step-by-step explanation:
I was a little confused on the questions themselves but I tried
let me know if something doesn't make sense.
Cole is building a model rocket in science class. He selects the rocket parts from a set of solid cylinders and cones made from metal. Cole wants to build a rocket with the dimensions shown. For safety purposes, the maximum lift-off weight of each rocket is 10 pounds. Will Cole’s rocket meet the requirement for launch?
Part A
What will be the total length of the assembled rocket? Explain how you found your answer.
Part B
What is the approximate volume of the rocket. Use 3.14 for π. Explain.
Part C
If Cole’s rocket parts are made of aluminum weighing 0.006 pound per cubic centimeter, will Cole be able to launch his rocket? Explain.
A.
30 since 25 + 5 = 30
The maximum lift-off weight of each rocket is 10 pounds thus, Cole’s rocket doesn't meet the requirement for launch.
What is the volume of a cylinder?The volume of the cylinder is the product of the height, pie, and square of the radius.
The volume of the cylinder = [tex]\pi r^{2} h[/tex]
Part A
The total length of the assembled rocket will be the length of the cone and the cylinder.
Height of the cone
[tex]\sqrt{l^{2} -r^{2} } \\\\\sqrt{5^{2} -4^{2} } \\[/tex] = 3 cm
The total length of the assembled rocket = 25 + 3 = 28cm
Part B
The volume of the rocket is the combined volume of the cone and cylinder.
= [tex]\pi r^{2} h[/tex] + 1/3[tex]\pi r^{2} h[/tex]
= 4/3 [tex]\pi r^{2} h[/tex]
= 4/3 × 3.14 × 16 × 28
= 1875.62 cubic cm
To convert cm into pound
1875.62 cubic cm = 4.135 pound
Part C
If Cole’s rocket parts are made of aluminum weighing 0.006 pounds per cubic centimeter.
Then 1875.62 cubic cm × 0.006
= 11.253
For safety purposes, the maximum lift-off weight of each rocket is 10 pounds. but Cole’s rocket doesn't meet the requirement for launch.
Learn more about volume;
https://brainly.com/question/1578538
What sequence of transformations, when applied to △ABC , shows that △ABC is similar to △ A ′ B ′ C ′ ? dilation with respect to the origin by a scale factor of 2 followed by a translation of 2 units left dilation with respect to the origin by a scale factor of 1 2 followed by a translation of 2 units right translation of 2 units right followed by a dilation with respect to the origin by a scale factor of 1 2 translation of 2 units left followed by a dilation with respect to the origin by a scale factor of 1 2
Answer:
The correct sequence of transformations that shows that △ABC is similar to △A′B′C′ is:
translation of 2 units left followed by a dilation with respect to the origin by a scale factor of 12.
Step-by-step explanation:
A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object.
In this case, we can see that a dilation with respect to the origin by a scale factor of 12 would stretch or shrink the triangle, but would not change the angles.
Therefore, we need to apply a translation first to move the triangle into the correct position.
So, we first translate the triangle 2 units left, which does not change its shape or size, but moves it to a position where it can be more easily compared to the other triangle.
Then, we apply a dilation with respect to the origin by a scale factor of 12, which stretches or shrinks the triangle but does not change its shape.
Plz answer :) will be marked BRAINLIEST!
Answer:
65 mph
Step-by-step explanation:
To find the unit rate (miles per hour), we can use the equation
[tex]r=\frac{d}{t}[/tex]
Where
r=rate (miles per hour)
d=distance (in miles)
t=time (in hours)
Using the given information, we can plug in
[tex]d=97\frac{1}{2}[/tex]
[tex]t=\frac{3}{2}[/tex]
So, our equation is
[tex]r=\frac{97.5}{1.5}[/tex]
When we divide 97.5 and 1.5, we get
[tex]65[/tex]
So,
[tex]r=65[/tex]
In conclusion, the rate (miles per hour) is 65 mph.
Consider the following set of equations: Equation A: y = –x + 5 Equation B: y = 6x – 2 Which of the following is a step that can be used to find the solution to the set of equations?
answer choices
–x = 6x + 2
–x – 2 = 6x + 5
–x + 5 = 6x - 2
–x + 5 = 5x
Answer:
–x + 5 = 5x
Step-by-step explanation:
Equation A: y = –x + 5 Equation B: y = 6x – 2
Answer:
Step-by-step explanation:
y = -x + 5
y = 6x - 2
-x + 5 = 6x -2
option 3
A motorcycle ramp has a base that is 10 feet long and a height of 15 feet. What is the area of the triangular ramp?
Answer:
25ft
Step-by-step explanation:
Answer: 75^2ft
Step-by-step explanation:
Triangle
Solve for area
A=75ft²
if Gordon types 2,170 words in 31 minutes. what is the unit rate?
Answer:
76.8 words per minute
Step-by-step explanation:
Answer:76.8 words per minute
Step-by-step explanation:
Please help I dont understand
Answer:
A. both coordinates are positive.
Step-by-step explanation:
I'm attaching a picture. The lower right quadrant/quarter is where x is positive and y is negative. When you "reflect over the y axis" it's mirroring the position by flipping it above the y axis.
In my picture, I used the example of a filled in dot in the lower right quadrant at +2 x, and -2 y. Right above that, in the upper right quadrant, there's an unfilled circle at +2 x, and +2 y. The second point is the first after being "reflected over the y axis." X stays the same, but the y goes from negative to positive.
I hope this helps. Please ask me if it's still confusing.
A movie theater owner made this box plot to represent attendance at the matinee movie last month.
Without seeing the values, what conclusions can you make about whether attendance was mostly high or low at the matinee movie last month?
A rectangular prism has a volume of 768 cubic Inches. The area of the base of the rectangular prism is 48 square inches. What is the height of the rectangular prism?
Answer:
16 inches
Step-by-step explanation:
Volume = b x h
768 = 48 x h
768 ÷ 48 = h
16 = h
Have a great day!
Identify all the sets to which the number belongs. Choose from rational number, irrational number, whole number, an integer.
1.256
Answer:
Rational
Step-by-step explanation:
The number 1.256 is a fraction of two whole numbers, 1256 and 1000. You need a fraction of two integer or whole numbers to create a rational number.
In which step does a mistake first occur?
(24 ÷ 3 + 10) - 14 ÷ 2
Step 1. (8 + 10) - 14 ÷ 2
Step 2. 18 - 14 ÷ 2
Step 3. 4 ÷ 2
Step 4. 2
Answer:
Step 3. 4 ÷ 2
Step 4. 2
these two steps are wrong
[tex](24 ÷ 3 + 10) - 14 ÷ 2[/tex]
[tex] (8 + 10) - 14 ÷ 2[/tex]
[tex] (8 + 10) - 7[/tex]
[tex]18 - 7[/tex]
[tex]11[/tex]
Note : See the explanation and get the answer
Can someone please help me with this math question and please explain how you got your answer (no random links please )
Question:
A t-shirt was originally priced at $25 and is now $37. Find the percent of increase.
Answer:
It was a 48.00% change
Step-by-step explanation:
Could someone please help me? Will give a scobby snack!
what is this math answer
Answer:
[tex]n = 8[/tex]
Step-by-step explanation:
[tex] \frac{n}{4} + 15 = 17[/tex][tex] \frac{n}{4} = 7 - 5[/tex][tex] \frac{n}{4} = 2[/tex][tex]n = 4 \times 2[/tex][tex]n = 8[/tex]Hope it is helpful....What does the algebraic representation ( x,y) > ( x - 1, y - 2) represent?
the answers are in the picture
I have no clue on how to do this rn
Answer:
The answer for A is yes, there is a relationship between the number of pixels and the are of the screen.
The answer for B. is p = 5184 * a.
Answer:
a.yes
b.p=5.184*an
PLEASE HELP
Ten rabbits are put in an enclosed wildlife ranch and the rabbit population triples each year, as shown in the table.
Year Rabbit Population
0 10
1 30
2 90
3 270
4 810
5 2,430
Complete each of the 2 activities for this Task.
Activity 1 of 2
Write an equation where y represents the number of rabbits in x years.
Activity 2 of 2
A second population of 10 rabbits is placed in a second enclosed wildlife ranch and doubles each year.
Select all statements that are TRUE when comparing the equation of the second group of rabbits to the first group.
A.
The base of the exponent will change from 3 to 2.
B.
The function will become quadratic.
C.
The y-intercept will change.
D.
The second population will increase less rapidly.
Answer:
C
Step-by-step explanation:
First, we have to find the equation that will give the rabbit population as a function of time and the initial population.
The equation we need turns out to be Population = a0 x 3y where a0 is the initial population and y is the number of years,
To find the rabbit population when a0 = 30 and y =3, use the equation to get Population = 30 x 33 = 810.
You can now find the difference in the number of rabbits at year 3 for the different starting populations.
i need help pls with this
Answer:
when you solve a one step equation that is when you have to figure out what to do on the 2 step equations like the 1 step equations!
Step-by-step explanation:
i hope this helps?!
A restaurant used 231 eggs last week. Of these, 46 were brown in color. The remainder of the eggs were white in color. Which equation can be used to solve for w, the number of white eggs used last week?
Answer:
231-46=w
Step-by-step explanation:
If m∠1 = 123°, find m∠3:
Answer:
123 degrees
Step-by-step explanation:
angle 1 is equal to angle 3, it is 123 degrees
Answer:
m∠3 = the same as m∠1, so, m∠3 = 123 degrese
Step-by-step explanation:
please help I'm terrible at this stuff
This is my last one. Everyone have a good day or night thank you :)
Answer:
See Below For Details
Step-by-step explanation:
1) 5.5 (11/2)
2) -0.5 (-1/2)
3) -2.35 (47/20)
Hope you do well!! :)
PLEASE HELP ANSWER ASAP
Answer:
x = 20
Step-by-step explanation:
Use Pythagorean Theorem to solve for x:
a^2 + b^2 = c^2
Plug in given values if a = 12, b = 16, and c = x (x is hypotenuse)
12^2 + 16^2 = x^2
(12*12) + (16*16) = x^2
144 + 256 = x^2
400 = x^2
Take square root of both sides to solve for x
sqrt(400) = sqrt(x^2)
20 = x or x = 20
Sara and Shareable are baking cherry pies for a community dinner. Each pie requires 4 cups of cherries. A container of cherries holds 8 cups How many containers of cherries will the girl need to make 10 pies?
(SHOW HOW YOU GOT THE ANSWER)
Answer:5 containers
1 pie = 4 cups
8/4= 2 pies per container
10/2= 5
Step-by-step explanation:
If the age of person A is 7 years more than that of person B and the sum of there ages is 25 years old how old is person A ? (Brainlest) This is not addition by the way
Answer:
16
Step-by-step explanation:
9+16 = 25 9+ 7 = 16
Answer:
its 25 - 7, so 18
My answer is better, much better than the other guy's he cant even math right
What is the probability of rolling a 1 or 2 when a six-sided die is rolled 700 times. Round your answer to the nearest whole number.
Answer: B. 233 (rounded)
Step-by-step explanation:
1: 700/6= 166.6
2: 166.6+166.6=233.332
3 round to 233
What is the value of m(7+9)n m ( 7 + 9 ) n , when m = 0.5 and n = 2?
Answer:
32
Step-by-step explanation
0.5 x 16=8
8x2=16
0.5x16=8
8x2=16
16+16=32
Consider the table of values for functions f(x) and g(x).
x f(x) g(x)
−2 −32 125
−1 −1 15
0 0 1
1 1 5
2 32 25
3 243 125
4 1024 625
Which statements are most likely true based on the given values?
Select each correct answer.
f(x) is a polynomial function.
f(x) is an exponential function.
g(x) is a polynomial function.
g(x) is an exponential function.
The output values of f(x) will remain greater than those of g(x) as the input values continue to increase.
The output values of g(x) will surpass those of f(x) as the input values continue to increase.
Answer:
D.
Step-by-step explanation:
At x = 2 the 2 rates of change are equal.
i think plz tellme if i am right or wrong if i am wrong i am very sorry
Answer: f(x) is polynomial., g(x) is exponential., The output values of g(x) will surpass those of f(x) as the input values continue to increase.
Step-by-step explanation: I took the test. Hope it helps:)
ANSWER PLS.............................
Answer:
b
Step-by-step explanation:
Answer:
y = x + 2
Step-by-step explanation:
The equation for any line is y = mx + b
m is the slope ( rise over run), in this cas the slope is 1
and b is the y-intercept ( where the line touches 0 on the y axis) so at +2
What is the volume of the carton?
Geometry
Step-by-step explanation:
V= 1/2 * 2 * 7 * 1,5
V=10,50 in.