The volume of air inside the cube is 1887.376 cubic inches
What is Volume?The volume of a shape or an object is the amount of space in the object
How to determine the volume of air inside the cube?The given parameters are:
Volume of the ball = 113 cubic inchesThe side length of the cube = 12.6 inchesThe volume of the cube is calculated using
Volume = (Side length)^3
Substitute 12.6 for Side length
Volume = 12.6^3
Expand the exponent
Volume = 12.6 * 12.6 * 12.6
Evaluate the product
Volume = 2000.376
The volume of air inside the cube is calculated using
Volume of the air = Volume of the cube - Volume of the ball
So, we have
Air = 2000.376 - 113
Evaluate
Air = 1887.376
Hence, the volume of air inside the cube is 1887.376 cubic inches
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For all parts of this question, use the function y + 2 = 3(x + 4)
Part A: Complete the x-y table:
i would start by simplifying the equation to get y by itself, you don't need to do this, but it makes it a little easier
y + 2 = 3 ( x + 4) distribute the 3 through the parenthesis
y + 2 = 3x + 12. subtract 2 from both sides
y = 3x +10
now to fill in the chart simply plug in the value of x to see what value of y it produces
y = 3(-2) +10
y = -6+10
y = 4
(-2,4)
y = 3(0) + 10
y = 0 + 10
y = 10
(0,10)
y = 3(2)+10
y = 6 + 10
y = 16
(2,16)
y = 3(4) + 10
y = 12 + 10
y = 22
(4,22)
Evaluate each of the numerical expressions below.
1. 42 +9
2. (5 + 8)
PLEASE HELP ITS DO RN
Answer:
1. 51
2. 13
Step-by-step explanation:
1. 42 + 9
42 + 9 = 51
2. (5+8)
5 + 8 = 13
Find the value of r so that the line through (8,r) and (4,5) has a slope of -4
Answer:
r = - 11
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to - 4
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (8, r)
m = [tex]\frac{r-5}{8-4}[/tex] = [tex]\frac{r-5}{4}[/tex] = - 4 ( multiply both sides by 4 )
r - 5 = - 16 ( add 5 to both sides )
r = - 11
What is the expanded form of this number?
570.086
A (5×100)+(7×10)+(8×1100)+(6×1100)
B (5×100)+(7×10)+(8×110)+(6×1100)
C (5×100)+(7×10)+(8×110)+(6×11,000)
D (5×100)+(7×10)+(8×1100)+(6×11,000)
Answer:
B
Step-by-step explanation:
I think it is No am not sure exactly
The expanded form of this number 570.086 is,
⇒ (5 × 100) + (7 × 10) + (8 × 1/100) + (6 × 1/1000)
What is Place value?The value represented by a digit in a number on the basis of its position in the number is called a Place value.
Given that;
The number is,
⇒ 570.086
Now, We can expand the number as;
⇒ 570.086
⇒ 500 + 70 + 00 + 8/100 + 6/1000
⇒ (5 × 100) + (7 × 10) + (8 × 1/100) + (6 × 1/1000)
Thus, The expanded form is,
⇒ (5 × 100) + (7 × 10) + (8 × 1/100) + (6 × 1/1000)
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A sign in a bakery gives these options: Option A: 15 cupcakes for $30 Option B: 30 cupcakes for $56 Option C: 60 cupcakes for $100 1. Find each unit price to the nearest cent. 2. Which option is the best deal per cupcake and gives the lowest unit price?
What is the least common multiple of 36 and 90?
Answer:
180
Step-by-step explanation:
36, 72, 108, 144, 180
90, 180
Have a great day!
Stay safe!
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3) Solve the System of Equations using Elimination/Combinations.
-2x-y=-4
x+2y=5
Answer:
[tex]y = 2 \\ x = 1[/tex]
Step-by-step explanation:
[tex]y = 2 \\ x = 1[/tex]
HELP.... BRAINLIEST FOR ANYONE WHO ANSWERS
Kelly walks 1/3 mile to school. Justin’s walks 75% longer. How far does Justin walk to school?
Answer:
7/12 miles i think
Step-by-step explanation:
3/4 x 1/3 = 1/4
1/3 + 1/4 = 7/12 miles
Admission to the carnival cost four dollars then each game cost $.50 if Kalen can spend no more than $10 how many games can she play
Answer:
12
Step-by-step explanation:
10-4=6
6÷0.50 = 12
I need help with this plz
obtenha os zeros da função
[tex]f(x) = 2x {}^{2} + 32[/tex]
Help asap!
a baker Has 88 muffins he fills large boxes that hold 9 muffins each then he puts the leftover muffins in a small box how many muffins are in the small box
Answer:
7
Step-by-step explanation:
9*9=81
81+7=88
Answer:
7
Step-by-step explanation:
88 / 9 = ?
9 x 9 = 81
88 - 81 = 7
7/9
88 / 9 = 9 7/9
9 is in the large box
7 in the small box
Could someone please help me with this
The first number is 3 and the second is 18
Which is the correct value for tanN? *
A tanN=16/20
B tanN=16/12
C tanN=12/20
D tanN=12/16
Answer:
D
Step-by-step explanation:
3/4 = 12/16
a square has side length 95 what is the length of the diagonal of the square express your asnser in simplest radical form
Answer
134.35
Step by step explanation
95+39.35
=134.35
Answer:
95(sq rt 2)
Step-by-step explanation:
Pythagorean theorem
95^2+95^=diagonal^2
diagonal^2=18050
95(sq rt 2)
Help me please answer thanks
Answer:
all of them are right, there's no wrong answer.
Step-by-step explanation:
all answers are x = 20,
Amy buys 8 sandwiches and 12 waters.her total cost is 8s+12 how much did she pay. S=sandwiches
Answer:
8s + 12
s=12-8
s=4
or
8s +12
s=12+8
s=20
Step-by-step explanation:
im not sure kung minus o plus kasi kung kinus mababa lang binayad nya
AB=
Round your answer to the nearest hundredth
Answer:
Step-by-step explanation:
2/sin25=AB/sin90
AB=4.73
The graph shown here is the graph of which of the following rational
functions?
FOO
5
A. F(x) = x(x+1)
B. F(x) = 4+1
X(X-2)
C. Fx) =
(x - 2)(x + 1)
Answer:
the graph of the rational function is B
Answer:
Step-by-step explanation:
B
Which line is parallel to y=2x-3?
A. y=-2x+4
B. y=2x+4
C. y=1/2x+4
D. y= - 1/2x+4
GIVING BRAINLIST!!! m∠GHI=98° and m∠JKL=82°.
Which statement is true about ∠GHIand∠JKL?
The angles are neither complementary nor supplementary.
The angles are complementary.
The angles are supplementary.
Answer:
The angles are supplementary
Step-by-step explanation:
Supplementary angles add up to 180 degrees
Hope this helps! :)
Answer:
The angles are supplementary.
Step-by-step explanation:
82 plus 98 is 180, so the angles are supplementary.
I hope this helps!
Thx for Brainliest!
Can anyone answer 20-24
help guys soal integral
Answer:
E. [tex] \purple { \bold{ \frac{2}{3} ( \frac{x - 1}{x} ) \sqrt{\frac{x - 1}{x} } + c }}[/tex]
Step-by-step explanation:
[tex] \int \sqrt{ \frac{x - 1}{ {x}^{5} } } dx \\ \\ = \int \sqrt{ \frac{x - 1}{ {x}^{4} .x} } dx \\ \\ = \int \frac{1}{ {x}^{2}}\sqrt{ \frac{x - 1}{ x} } dx \\ \\ = \int \frac{1}{ {x}^{2}}\sqrt{ 1 - \frac{1}{ x} } dx \\ \\ let \: 1 - \frac{1}{ x} = t \\ \\ \implies \: \frac{1}{ {x}^{2} } dx = dt \\ \\ \implies \int \frac{1}{ {x}^{2}}\sqrt{ 1 - \frac{1}{ x} } dx = \int \sqrt{t} dt \\ \\ = \int {t}^{ \frac{1}{2} } dt \\ \\ = \frac{t ^{ \frac{3}{2} } }{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} t ^{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} \sqrt{ {t}^{3} } + c \\ \\ = \frac{2}{3} t\sqrt{ {t} } + c \\ \\ = \frac{2}{3} (1 - \frac{1}{x} ) \sqrt{1 - \frac{1}{x} } + c \\ \\ \red{ \bold{= \frac{2}{3} ( \frac{x - 1}{x} ) \sqrt{\frac{x - 1}{x} } + c }}\\ \\ [/tex]
The vertices of a swimming pool are E(5, 5), F(5, 20), G(35, 20), and H(35, 5). The endpoints of a line that divides the pool into two sections are J(15, 5) and K(15, 20). The coordinates are measured in meters. What is the area of each section?
Answer:
Step-by-step explanation:
What is the pattern for valence electrons on the periodic table?
Answer:
In general, the number of valence electrons is the same within a column and increases from left to right within a row. Group 1 elements have just one valence electron and group 18 elements have eight, except for helium, which has only two electrons total.
Step-by-step explanation:
The roots of a quadratic equation are 5 and
2
3
. If one of the two factors of the equation is
x
−
5
, which expression could be a second factor?
2
x
−
3
2 x − − 3
2
x
+
3
2 x + 3
3
x
−
2
3 x − 2
3
x
+
2
3 x + 2
I think before we get to this answer we need to understand how roots of a quadratic equation works.
When a quadratic equation have 2 real roots such as a/b and c/d we can write the quadratic equation in factored form like this y or 0=(bx-a)(dx-c)
In this case we know the 2 roots are 5 and 2/3 and one of the factors is already x-5. so the other one according to the equation above that I wrote have to be 3x-2 and therefore the 3rd choice is correct.
Hope this helped you and if there is any questions about this please let me know in the comments.
Algebra 1 Please help! thank u sm
Answer:
1. Slyvia is wrong. You treat the numbers normally when dividing the left side, so 3.61/4.1 = .88. When dividing the exponents, you subtract the numerator from the denominator, so -11-7 = -18. So, you do have .88 * 10^-18, at first, but when you are working in scientific notation you want the decimal to be greater than so, which requires us to add an additional -1, to make it 8.8 instead of 0.88. This is because we want to move the decimal place left one more time. This results in our final answer being 8.8 * 10^-19, which is not Slyvia's answer.
2. Dylan's answer is correct. He subtracted the exponents correctly, then moved the decimal place over one place towards the left.
3. Ethan is wrong. He added the exponents, instead of subtracting. However, you cannot do this, because when you are dividing exponents, you must subtract.
Step-by-step explanation:
I have this acronym I learned called MADSPM, which has helped me a lot. I never learned it in Algebra, but I wish that they had taught it. Each letter corresponds with an exponent rule. If this makes sense, here is what it stands for:
When you multiply, you add.
When you divide, you subtract.
When there are parentheses, you multiply.
In this case, it was solely division. So, you just need to remember division = subtraction, when it comes to exponents.
Hopefully this helped. If you need me to explain it better, please let me know, and I will try. Thanks much & have a wonderful day!
Mrs. Montgomery earns a 6.5% commission on her total sales. Last month, she had sales of $55,780.
How much commission did Mrs. Montgomery earn last month?What was her total pay for the month?
Answer:
Commission: $3625.70
Total (sales + commission): $59405.70
Step-by-step explanation:
6.5% of 55780 = 0.065 × 55780 = 3625.7
55780 increase 6.5% =
55780 × (1 + 6.5%) = 55780 × (1 + 0.065) = 59405.7
PLEASE HELP ME GUYS!! ITS URGENT
help me will mark as brainliest can someone give me the answer of both or atleast one
Answer:
8. the length is 88/5cm or 17.6cm
Step-by-step explanation:
8.perimeter =2L + 2W
when you convert the width 42/5 = 8.4
so 52 = 2L + 2*8.4
52= 2L + 16.8
52 - 16.8 = 2L
35.2 = 2L
divide both sides by 2
L = 17.6cm