Answer:
JD is wrong.
Although, the volume of the cube shaped box V' = 421.88 in³ > volume of the sphere V = 268.1 in³, the sphere cannot fit into the box because its diameter, d = 8 in > side of cube = 7.5 in.
Step-by-step explanation:
The sphere would only fit into the cube shaped box if its diameter is less than the length of side of the cube L = 7.5 inches.
So, diameter of sphere d = 2r where r = radius of sphere = 4 inches. Thus, d = 2r = 2(4 in) = 8 in.
Since the diameter of the sphere d = 8 inches > length of side of the cube = 7.5 inches, the sphere would not fit into the box.
So, JD is wrong.
We calculate both the volume of the sphere and cube.
Volume of a sphere V = 4πr³/3 where r = radius of sphere = 4 inches
So, V = 4πr³/3
= 4π(4 in)³/3
= 4π(64) in³/3
= 256π in³/3
= 804.25 in³/3
= 268.1 in³
Volume of a cube V' = L³ where L = length of side of cube = 7.5 inches
So, V' = L³
= (7.5 in)³
= 421.88 in³
Although, the volume of the cube shaped box V' = 421.88 in³ > volume of the sphere V = 268.1 in³, the sphere cannot fit into the box because its diameter, d = 8 in > side of cube = 7.5 in.
California, the most populous state, has approximately 40,000,000 people living in it. The population of the entire United States is about 3E8 people. About how many times greater is the population of the United States than the population of California?
State operation used and write answer in proper scientific notation (can use e)
Answer: 7.5 E 0
This is the same as saying 7.5 * 10^0
Both of these values convert to the number 7.5; meaning that the population of the US is about 7.5 times greater than the population of CA.
==========================================================
Work Shown:
40,000,000 = 40 million
40,000,000 = 4.0 * 10^7
Note how we move the decimal 7 spots to the right to go from 4.0 to 40,000,000
so the 7 in 10^7 tells us how many spots to move the decimal point in the base number 4.0
The number 4.0*10^7 can be condensed to 4E7. The "E" represents "times 10 to the"
As another example, "3E8" means "3 times 10 to the 8th power" which becomes 3.0*10^8 = 300,000,000 = 300 million
--------------------------
We have these two facts
x = Population of CA = 4 E 7 = 4*10^7y = Population of US = 3 E 8 = 3*10^8We'll divide the two populations to get
y/x = (3E8)/(4E7)
y/x = (3*10^8)/(4*10^7)
y/x = (3/4)*10^(8-7)
y/x = 0.75*10^1
y/x = 7.5
We can see that the population of the US is roughly 7.5 times greater compared to the population of CA.
Convert 7.5 to scientific notation, and we get
7.5 = 7.5*1 = 7.5 * 10^0 = 7.5 E 0
Keep in mind that these are population estimates, and populations change over time.
The area of a rectangle is greater than or equal to 115 square centimeters. The width of the rectangle is 5 centimeters and the length of the rectangle is x centimeters. Select the possible value(s) of x.
a) x=22
b) x=23
c) x=24
d) x=25
Answer:
23
Step-by-step explanation:
HSHDKDIKDH I don't know if THIS IS TRUE THO GOOD LUCK
Please answer these urgent
Step-by-step explanation:
a)
diameter:20cm
circumference: 62.83 cm
area: 314.15 cm^2
b)
radius:7.49 cm
diameter:15 cm
circumference: 47.1 cm
area: 176.24 cm^2
c)
Radius: 60cm
diameter:120 cm
circumference: 376.99cm
area: 11309.7cm^2
and so on....
[tex]area = \pi \: {radius}^{2} \\ \\ circumference = 2\pi \: radius[/tex]
i don't have time to evaluate the whole table.
20POINTS20POINTS POINTS
The sum of the angles on this triangle should be
4/2 or 2
Olivia has a shoe box in the shape of a rectangular prism. She decorates 4 faces of the box,
leaving the top and the bottom without decorations. The unshaded parts of the model and
the diagram below show the parts that she decorates. What is the total area that Olivia
decorates?
L
she decorates 4 face of the box. (no diagram)
Boris filled his gas tank three times last week. Here are the amounts of gas he bought (in gallons).
9.94, 1, 19.1
What is the total amount of gas Boris bought last week?
Answer:
30.04
Step-by-step explanation:
You could do this the simple way which is to first grab two numbers in any order and add them together, and after you do that you can add the result to the remaining number or numbers that remain. 9.94 plus 1 is 10.94, and 10.94 plus 19 is 29.94, lastly the .1 from the 19 which finally leads us to the answer of 30.04 gallons that Boris bought last week
A school has 1200 students last year and only 1080 students this year what was the percentage decrease in the number of students
Answer:
10%
Step-by-step explanation:
HOPE THIS HELPS
BRAINLIEST???
PLEASE HELP IM BEING TIMED
One rollercoaster starts 72 feet above the ground and descends to ground level over a 24-foot horizontal distance. A second rollercoaster starts 39 feet above the ground and descends to ground level over a 13-foot horizontal distance. Are the descending parts of these rollercoasters parallel?
A.
Yes; when descending, the rollercoasters have the same slope.
B.
No; the first rollercoaster has a greater slope than the second rollercoaster.
C.
No; multiplying the slopes of the two rollercoasters does not give a product of –1.
D.
The two roller coasters do not have the same horizontal change, so they cannot be compared.
Answer:
its B
Step-by-step explanation:
Which number is IRRATIONAL?
A)
149
B)
V64
C)
172
D)
V121
Answer:
172
Step-by-step explanation:
The square root of 172 is equal to 2√(43). The square root of a non-perfect square is always an irrational number, meaning that it cannot be
Answer:
C -172
Step-by-step explanation:
Taking finals pls help
Given the graph below, how much will it cost Kenny to order 125 T-shirts?
0 A $62.50
o
B $250
OC $312.50
D $375
Answer:
It should be B $250 - - - - -
If Line MP is a perpendicular bisector to Line LN, find each value.
Answer:
5
Step-by-step explanation:
1. answer it
2. get it right
3. hit submit
Here are three stories:
• A family buys 6 tickets to a show. They also pay a $3 parking fee. They spend $27 to see the
show.
• Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6
ounces left for himself.
• Jada works for 6 hours preparing for the art fair. She spends 3 hours on a sculpture and
then paints 27 picture frames.
Here are three equations:
• 3x + 6 = 27
• 6x +3=27
• 27x + 3 = 6
a. Decide which equation represents each story. What does x represent in each equation?
b. Find the solution to each equation. Explain or show your reasoning,
c. What does each solution tell you about its situation?
Answer:
1)
a) 6x+3 = 27
b) x=4
c) We know that x is price of each ticket, so The price of each ticket is $4. They bought 6 tickets, so total cost of ticket = 24 and $3 for parking so, total money spent = $27.
2)
a) 3x + 6 = 27
b) x= 7
c) We know that x is amount of juice poured, so 3 friends of Diego will get 7 ounces of Juice, while Diego will get 6 ounces of juice.
3)
a) 27x + 3 = 6
b) x= 1/9
c) We know that x is time spend on each picture, so Jada spend 1/9 hour on each picture
Step-by-step explanation:
1. A family buys 6 tickets to a show. They also pay a $3 parking fee. They spend $27 to see the show.
a) Decide which equation represents each story. What does x represent in each equation?
Let x be price of one ticket.
The equation will be: 6x+3 = 27
b. Find the solution to each equation. Explain or show your reasoning,
Now solving the equation:
6x+3=27
6x=27-3
6x=24
x=24/6
x=4
So, we get x = 4
c. What does each solution tell you about its situation?
We know that x is price of each ticket, so The price of each ticket is $4. They bought 6 tickets, so total cost of ticket = 24 and $3 for parking so, total money spent = $27.
2. Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6 ounces left for himself.
a) Decide which equation represents each story. What does x represent in each equation?
Let x be amount of juice poured.
The equation will be: 3x+6 = 27
b. Find the solution to each equation. Explain or show your reasoning,
Now solving the equation:
3x+6=27
3x=27-6
3x=21
x=21/3
x=7
So, we get x = 7
c. What does each solution tell you about its situation?
We know that x is amount of juice poured, so 3 friends of Diego will get 7 ounces of Juice, while Diego will get 6 ounces of juice.
3. Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6 ounces left for himself.
a) Jada works for 6 hours preparing for the art fair. She spends 3 hours on a sculpture and then paints 27 picture frames.
Let x be time spend on each picture frame.
The equation will be: 27x+3=6
b. Find the solution to each equation. Explain or show your reasoning,
Now solving the equation:
27x+3=6
27x=6-3
27x=3
x=3/27
x=1/9
So, we get x = 1/9
c. What does each solution tell you about its situation?
We know that x is time spend on each picture, so Jada spend 1/9 hour on each picture
Answer:
Step-by-step explanation:
h
Pls help WILL PICK BRAINLIEST!
Which other expression has the same value as (-14) -8?
(-14) + 8
14 − (-8)
14 + (-8)
(-14) + (-8)
Answer:
D. (-14)+(-8)
Step-by-step explanation
Adding to negatives is the same as subtracting 2 positives
-14- 8= 22
-14+(-8)= 22
can someone help me with this
how do u get for 6x+8=2x-7 to 4x+8=-7
Answer:17
Step-by-step explanation:
Answer: Look for like terms and then leave the equation as it is :)
Step-by-step explanation: Hope this helps :)
Is the relation a function?
Answer: yes its just set up diffrently
Step-by-step explanation:
Answer:
ans: yes it is because it matches the same number
45°
b
a
35
Help me if you can
9514 1404 393
Answer:
C) a = 3√10; b = 3√5
Step-by-step explanation:
The side ratios in an isosceles right triangle are 1 : 1 : √2. This is a fact worth remembering. You know the triangle is isosceles because both acute angles are 45°, which means both legs are the same length.
If the leg lengths are 1, the Pythagorean theorem tells you the hypotenuse is ...
c^2 = a^2 + b^2 . . . . . . for legs a, b, and hypotenuse c
c^2 = 1^2 + 1^2 = 2
c = √2
This tells you the leg : leg : hypotenuse ratios are as shown above.
__
What that means here is that b = 3√5, the same length as the one shown. It also means that ,,,
a = (3√5)(√2) = 3√(5·2)
a = 3√10
The only answer choice with the correct value of 'a' is (C).
a = 3√10, b = 3√5
Help pls! ASAP!!! will give brainliest if right!!!
Answer:
22.5
Step-by-step explanation:
i have gotten this question before so im for sure its 22.5
Will someone help! i will mark brainliest
Answer:
A
Step-by-step explanation:
Fraction of Juniors in Company B over total number of students.
One-third of the seventh grade class bought
tickets for the seventh grade dance. Then, 32
students bought tickets at the door. If there
were 158 students at the dance, how many total
students are there in the seventh grade? *equation*
Answer:
about 58 7th graders attended the dance
Step-by-step explanation:
quick maths
$ 3/10 of bikes turned out to be defective during a bike inspection. What percentage is that?
Answer: 30%
Step-by-step explanation:
What expression is equivalent to 27+15
Answer:
3 (9 + 5)
Step-by-step explanation:
I’ll literally give out 400 points on my next question if someone answers this
Answer:
Exact Form:
1/5
Decimal Form:
0.2
Step-by-step explanation:
ABD=70 CBD=5x+13 ABC=3x+33
The value of x of the straight line will be 8° by using straight line property.
We are given the measures of 3 angles that form a straight line.
∠ ABD = 70°
∠ CBD = 5 x + 13
∠ ABC = 3 x + 33
We need to find the value of x.
We know that the straight line property states that the sum of measures of all the angle of the line should be 180°.
So, we get that:
∠ ABD + ∠ CBD + ∠ ABC = 180°
Substituting the values of the angles, we get that:
70 + 5 x + 13 + 3 x + 33 = 180
8 x + 116 = 180
8 x = 180 - 116
8 x = 64
x = 64 / 8
x = 8°
Therefore, we get that, the value of x of the straight line will be 8° by using straight line property.
Learn more about straight line here:
https://brainly.com/question/21727173
#SPJ1
PLZ HELP with this question
Answer:B
Step-by-step explanation:
It says split so you would split v by 2
ASAP. 20 points. What is the value of (4 minus 2) cubed minus 3 times 4?
Negative 20
Negative 4
4
20
Answer:
Answer:
-4
Step-by-step explanation:
(4-2)^3 - 3*4
PEMDAS
P arentheses
(2)^3 - 3*4
E xponents
8 -3*4
MD multiply and divide from left to right
8 - 12
AS add and subtract from left to right
-4
Step-by-step explanation:
Answer:
–48
Step-by-step explanation:
i looked it up i hope this helps :) :) :)
A school is having a canned food drive. Each class is challenged to collect 130 cans. If there are c classes in the school, which equation could be used to find the total number of cans, T, the school will collect if each class meets the challenge? *
1 point
T = 130c
T = 130/s
T = c/130
T = 130 + c
Answer:
The first answer 130c
Step-by-step explanation:
solve for interval notation: 4x-6 ≥6x-20
tysmm
Answer:
x≤7
Step-by-step explanation:
Which equation is NOT equivalent to p – 7 = 22? Select all that apply.
A. p – p – 7 = 22 – p
B. p – 7 – p = 22 – p
C. p – 7 + 22 = 22 – 7
D. p – 7 + 7 = 22 – 22
E. p – 7 + 7 = 22 + 7
Answer:
its a
Step-by-step explanation:
3.48 with 8 % tax would equal please help so confused how to do
29
Which decimal is equivalent to ?
11
Choose 1 answer:
2.63
2.6363
2.63
2.6
Answer:
b easy question but can I get brainliest
Step-by-step explanation: