Answer:
Step-by-step explanation:
Answer:
1) True, True, False
Rewritten statement: 46,013.86 cm³ of water was used to fill 40 balloons
2) False, True, True
Rewritten statement: The formula [tex]\sf V= \sf \dfrac43 \pi (2.4)^3[/tex] can be used to find the volume of the model of Earth.
3) True, False, True
Rewritten statement: The volume of all the basketballs is 13,467.62 in³
Step-by-step explanation:
Question 1[tex]\textsf{Volume of a sphere}=\sf \dfrac43 \pi r^3 \quad \textsf{(where r is the radius)}[/tex]
Given:
r = 6.5 cmSubstituting the given radius into the formula:
[tex]\begin{aligned}\implies \sf V & = \sf \dfrac43 \pi (6.5)^3\\\\& =\sf \dfrac{2197}{6} \pi \\\\& = \sf 1150.35\: cm^3 \:(nearest\:hundredth)\end{aligned}[/tex]
[tex]\textsf{Volume of 40 balloons}=\sf 40 \times \dfrac{2197}{6} \pi=46013.86\:cm^3\:(nearest\:hundredth)[/tex]
Rewritten statement: 46,013.86 cm³ of water was used to fill 40 balloons
-------------------------------------------------------------------------------------------------------
Question 2[tex]\textsf{Volume of a sphere}=\sf \dfrac43 \pi r^3 \quad \textsf{(where r is the radius)}[/tex]
Earth
Given:
diameter = 4.8 cm ⇒ r = 2.4 cmSubstituting the given radius into the formula:
[tex]\implies \sf V= \sf \dfrac43 \pi (2.4)^3[/tex]
[tex]\implies \sf V=57.91\:cm^3\:(nearest\:hundredth)[/tex]
Rewritten statement:
The formula [tex]\sf V= \sf \dfrac43 \pi (2.4)^3[/tex] can be used to find the volume of the model of Earth.
Saturn
Given:
diameter = 45.6 cm ⇒ r = 22.8 cmSubstituting the given radius into the formula:
[tex]\implies \sf V= \sf \dfrac43 \pi (22.8)^3[/tex]
[tex]\implies \sf V=49647.02\:cm^3\:(nearest\:hundredth)[/tex]
Difference between models= 49,647.02 - 57.91 = 49,589.11 cm³
-------------------------------------------------------------------------------------------------------
Question 3[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
r = 21 inh = 54 inSubstituting the given values into the formula:
[tex]\implies \sf V=\pi (21)^2(54)[/tex]
[tex]\implies \sf V=23814\pi[/tex]
[tex]\implies \sf V=74813.89\:in^3\:(nearest\:hundredth)[/tex]
[tex]\textsf{Volume of a sphere}=\sf \dfrac43 \pi r^3 \quad \textsf{(where r is the radius)}[/tex]
Given:
diameter = 9.5 in ⇒ r = 4.75 in30 basketballs[tex]\begin{aligned}\textsf{Volume of all 30 basketballs} &=\sf 30 \times \dfrac{4}{3}\pi (4.75)^3\\ & =\sf 13467.62\:in^3\:(nearest\:hundredth)\end{aligned}[/tex]
Rewritten statement: The volume of all the basketballs is 13,467.62 in³
Empty space in the container = volume of container - volume of basketballs
⇒ 74813.89 - 13467.62 = 61,346.27 in³
Find the volume please
Answer:
solve with v=l*b*h
Step-by-step explanation:
cut in into two piece and solve
A betta fish tank is in the shape of a cube. The volume of the fish tank is 216
cubic inches. What is the edge length, in inches, of the fish tank?
Answer:
6in³
Step-by-step explanation:
get the volume by the formula: L x W x H
L = Length
W = Width
H = Height
there are 3 units required to know for getting the volume, if that's true, then, do the inverse operation of finding the volume. That can be done by using the formula:
a= edge
Solving for a
a=V⅓=216⅓=6
So each of the Cube shaped Fish Tank is 6in³
to find out if the answer is right or wrong we have to do
6x6=36
36x6=216
So the answer is right!
find all solutions in the interval [0,2pi).
2sin^2(x)=sin(x)
[tex]2\sin^2 x =\sin x \\\\\implies 2 \sin^2 x - \sin x=0\\\\\implies \sin x(2 \sin x -1) =0\\\\\implies \sin x = 0~~\text{or}~~ 2 \sin x -1 =0\\\\\implies \sin x = 0~~ \text{or}~ ~ \sin x = \dfrac 12\\\\\text{For}~~ \sin x = 0\\\\x=n\pi \\\\\text{In the interval,}~~[0, 2\pi)\\\\x=0, \pi\\\\\text{For}~~ \sin x = \dfrac 12\\\\x=n\pi+(-1)^n \dfrac{\pi}6 \\\\\text{In the interval,}~~[0, 2\pi)\\\\x=\dfrac{\pi}6,~ \dfrac{5\pi}6\\\\\text{Hence,}~ x = 0,~\pi,~ \dfrac{\pi}6, ~\dfrac{5 \pi}6[/tex]
Answer:
[tex]x=0, \dfrac{\pi}{6},\dfrac{5\pi}{6},\pi \:\sf(for\:the\:given\:interval)[/tex]
Step-by-step explanation:
given interval [0, 2π) = 0 ≤ x < 2π
[tex]2\sin^2(x)=\sin(x)[/tex]
subtract sin(x) from both sides:
[tex]\implies 2\sin^2(x)-\sin(x)=0[/tex]
factor:
[tex]\implies \sin(x)[2\sin(x)-1]=0[/tex]
[tex]\sin(x)=0[/tex]
[tex]\implies x=0 \pm2 \pi n, \pi \pm2 \pi n[/tex]
[tex]\implies x=0, \pi \:\sf(for\:the\:given\:interval)[/tex]
[tex]2\sin(x)-1=0[/tex]
[tex]\implies \sin(x)=\dfrac12[/tex]
[tex]\implies x=\dfrac{\pi}{6} \pm2 \pi n, \dfrac{5\pi}{6} \pm2 \pi n[/tex]
[tex]\implies x=\dfrac{\pi}{6},\dfrac{5\pi}{6}\:\sf(for\:the\:given\:interval)[/tex]
Final solution:
[tex]x=0, \dfrac{\pi}{6},\dfrac{5\pi}{6},\pi \:\sf(for\:the\:given\:interval)[/tex]
Mrs. Girard bought a 2-ounce tube of eye cream. Each night, she carefully applies 0.1
ounces.
Write an equation that shows how the number of ounces of eye cream remaining, y, depend
on the number of nights Mrs. Girard uses it, X.
y =
Find the minimum value of y given that y = 2x^2+ 6x + 2.
Answer:
-5/2
Step-by-step explanation:
x= -b/2a
x= -6/4= -3/2
y=2×(9/4)+6(-3/2)+2= -5/2
Anyone know where I can find the answers to this packet
Answer:
Step-by-step explanation:
I'll give you a guide — use the formula
[tex]y = mx + b[/tex]
For Question 1, [tex]y = \frac{2}{3}x + 2[/tex]
[tex]y = mx + b[/tex]
So, m = [tex]\frac{2}{3}[/tex] and b = 2
For question 3,
[tex]y = mx + b[/tex]
if m = [tex]\frac{1}{3}[/tex] and b = 3
[tex]y = \frac{1}{3}x + 3[/tex]
For the graphs, You label the center as 0, and go up/down 1 right to left and up down
You use every number on the x-axis (horizontal left-right line) and put it in your equation (e.g. [tex]y = \frac{2}{3}x + 2[/tex]) to get the value for the y-axis.
Question is in picture
Answer:
If the candy was in whole of in peices
Step-by-step explanation:
A dependant variable is something you do to change a result, so breaking tha candy would be the dependant variable because they werre trying to see if breaking the candy would lead to diffrent results.
Just so you remember for next time:
an Indipendent variable is something that is constant that we can not change
and a dependent variable is something that we change to get a diffrent response.
Aiden is a percussionist in his
school band. One instrument he
plays is in the shape of an
equilateral triangle shown below.
The side lengths are in inches.
Find x and y.
Answer:
could you show the triangle?
Find the solution to each problem. Show all of your work.
1. Haley and her family went on a vacation. To get to the beach, they drove for 3 hours and 25 minutes. When they headed back home, it took them 230 minutes to get home. Did it take longer to get to the beach or to get home from the beach?
2. Yesterday, it rained for 335 minutes. The day before that it rained for 5 hours and 10 minutes. On which day did it rain for a longer period of time?
3. Wendy’s family lost the power at their house when there was a bad storm. The powerwas out for 3 days! Wendy’s neighbors lost power for 68 hours. Whose power was outfor a greater amount of time?
4. Paul finished his 800 meter race in 2 minutes and 2 seconds. Jeff finished in 121 seconds. Who finished first? (Remember, the person with the lowest time finishes first.)
5. Write your own question that involves time conversion and ask someone to solve it. Make sure you solve it too so you know if they get the correct answer!
1. 1 hour = 60 minutes
We convert 3 hours and 25 minutes to minute : 3 x 60 + 25 = 205 (minutes). Since 205 < 230, it took longer to get home than getting to the beach.
2. (Same convertion)
5 hours and 10 minutes = 5 x 60 + 10 = 310 (minutes)
So, the last day rained longer than the day before it.
3. 1 day = 24 hours.
We convert 3 days to hours : 3 x 24 = 72 (hours)
Since 72 > 68, Wendy's family lost their power longer than their neighbors.
4. 1 minute = 60 seconds
Convert 2 minutes and 2 seconds to seconds : 2 x 60 + 2 = 122 (seconds)
Since 122 > 121, it means Paul took longer to finish his race, which mean Jeff finished first (Rip Paul)
5.
Question : Bob bought 2 pizzas for him and his friend, Kevin. They both ate 1 pizza. Bob finished his pizza in 6 minutes and 45 seconds. Kevin finished his pizza in 400 seconds. Who finished first?
Solution : Convert 6 minutes and 45 seconds to seconds : 6 x 60 + 45 = 405 (seconds)
Since 405 > 400, Bob took longer to finish his pizza -> Kevin finished first.
$7,000 compounded semiannually at a rate of 10% for 21 years
Answer:
$ 54 331.11
Step-by-step explanation:
21 years semi-annually is 42 periods
interest rate per period = 10% /2 = .10 /2 = .05
7000 (1 + .05)^42 =
a
39. Algebra A rectangle has a base of x units. The area is (4x2-2x)
square units. What is the height of the rectangle in terms of x?
A (4 - x) units
(x-2) units
B (4x3 - 2x2) units
D (4x - 2) units
-
-
The area of the rectangle is the product of its base and height
The height of the rectangle is 4x - 2 units
How to determine the height?The given parameters are:
Area = 4x^2 - 2x
Base = x
The area of the rectangle is:
Area = Base * Height
This gives
4x^2 - 2x = x * Height
Divide through by x
4x - 2 = Height
Rewrite as:
Height = 4x - 2
Hence, the height of the rectangle is 4x - 2 units
Read more about areas at:
https://brainly.com/question/24487155
Of the 103 people enrolled in mathematics class, 91% are present How many are present? 114 113 94 93
Answer:
Just find the 91% of 103
103 * 91% = 103 * 0.91 = 93.73
About 94 are present from the 103 people
Step-by-step explanation:
hope this helps
pls mark brainliest
What do I do with my hands
Answer:
eat them
Step-by-step explanation:
Determine whether the question is a statistical question.
a
How many pages are in the favorite books of students your age?
Answer:
1-100 pages are in the favorite books of my age
Zarea finds 3^√6000 and shows her work below. 3^√6000 = 3^√? x 3^√6 = 10 ^3√6 what is the missing value?
Answer:
? = 1000
Step-by-step explanation:
Zarea is making use of the fact that the cube root of a product is the product of the cube roots. She is factoring out the largest perfect cube in the number 6000.
[tex]\displaystyle \sqrt[3]{6000}=\sqrt[3]{1000\cdot6}=\sqrt[3]{\boxed{1000}}\cdot\sqrt[3]{6}=10\sqrt[3]{6}[/tex]
The missing value in Zarea's work is 1000.
The minute hand of a clock turns 180° in how many minutes? A. 60 B. 45 C. 30 D. 20 E. 15
Answer:
30 Minutes is the answer
Step-by-step explanation:
Since 360 degrees =60
Then 180 degrees =30
(7x - 1) + (-x - 2) in simplest terms
Answer:
6x-3
Step-by-step explanation:
list the members of 2 greater than or equal to 12
Find the dimensions of a rectangle (in m) with perimeter 76 m whose area is as large as possible. (Enter the dimensions as a comma-separated list.)
Answer:
19,19
Step-by-step explanation:
It will be a square
76 / 4 = 19 m sides
The concentration of a drug t hours after being injected is given by C ( t ) = 0.6 t t 2 + 30 . Find the time when the concentration is at a maximum. Give your answer accurate to at least 2 decimal places.
Answer:
5)9):3=12
Step-by-step explanation:
yan na yung sagot sana makatulong
Give the equation the circle (X+5)^2+(y-1)^2=16, which correctly gives the center and radius of the circle
Answer:
Step-by-step explanation:
You have:
[tex](x+5)^2+(y-1)^2=16[/tex]
[tex](x+5)^2+(y-1)^2=4^2[/tex]
To find the center of the circle, you want to find the 'x' and 'y' values which make their respective term equal zero:
[tex](x+5)^2=0[/tex]
[tex](y-1)^2=0[/tex]
[tex]x=-5[/tex]
[tex]y=1[/tex]
The radius of the circle would be 4 due to the right side of the circle equation. Our circle is centered at (-5, 1) and has a radius of 4 units.
Can you please help me with this question
Which problem solving strategy would be best to solve this problem?
Avelina earned half as much money as Gus. If Gus earned $125.00, how much money did Avelina earn? Ples help me some one
Answer:
$62.50
Step-by-step explanation:
Tell me if it is w x y or x
in problem 53-56, write a system of linear inequalities for the given graph
Answer:
hombre by. h God j inc. hchhhi
Drag a vertex of the triangle to change its shape.
Double-click or double-tap a vertex or side to prevent it from
changing
Problem: Construct a triangle with side lengths 6, 6,
and 6.
What are the angle measures for the triangle?
C = 41°
9.2
7.0
30, 60, 90
45, 45, 90
A = 49°
6.0 B = 90°
60, 60, 60
-р
10, 80, 90
Answer:
60,60,60
Step-by-step explanation:
The angle measures for the triangle is 60, 60 and 60.
What is Triangle?A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
We have,
The measure of three sides are 6 ,6 and 6.
Now, we know a triangle whose three sides are equal is called as Equilateral Triangle.
Also, three angles are Equal.
Using Angle Sum property
x + x + x = 180
3x= 180
x= 60
Thus, the measure of three angles are 60, 60 and 60.
Learn more about Triangle here:
https://brainly.com/question/2773823
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what is 37/16 as a decimal rounded to the nearest tenth
Answer:
the answer is 2
Step-by-step explanation:
If a student wants to multiply by 8 they can?
A. Multiply by 2 three times
B Multiply by 2 four times
C Multiply by 4 twice
D Multiply 2 and multiply by 4 and add them together
Hello Brainly user,
A. Multiply by 2 three times if you want to multiply by 8.
Proof:
For example, if you want to multiply 2 by 8 --> 2x8 then you can just do 2x2 = 4 4x2 = 8 8x2 = 16.
TO CHECK:
You can do 8x2 = 16.
Hence, this answer is 100% correct.
A bakery sells 6 lemon poppy muffins for every 42 bran muffins sold. Which table represents the relationship between lemon poppy and bran muffins?
The answer is B.
Answer:
B
Step-by-step explanation:
The table shows the ratio 1:7 pretty well
What is the solution to the equation below? Round your answer to two
decimal places.
In x=-3
O A. x= 0.45
O B. x = 0.05
O C. x= -1.09
D. x= -20.09
Answer: B
Step-by-step explanation:
In order to isolate 'x', we can use the number 'e' to cancel the natural log. The 'e' will cancel the natural log because they are inverse to each other:
[tex]e^l^n^(^x^)=e^-^3[/tex]
[tex]x=e^-^3=\frac{1}{e^3} =0.049787[/tex]