Answer:
3
Step-by-step explanation:
Volume of sphere:
4/3 * pi * r^3
Surface Area of Sphere:
4 * pi * r^2
So if V = SA
4/3 * pi * r^3 = 4 * pi * r^2
4/3 * pi * r^3 = 4 * pi * r^2
1/3 * r^3 = r^2
1/3 * r = 1
r = 3
Volume is a three-dimensional scalar quantity. The radius of the ball is equal to 3 units.
What is volume?
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the sphere is given by the formula,
V = (4/3)πR³
The surface area of the sphere is given by the formula,
Surface area = 4πR²
Also, it is mentioned that the numerical value of the volume in cubic inches was the same as the numerical value of the surface area in square inches. Therefore,
(4/3)πR³ = 4πR²
R³/3 = R²
R = 3
Hence, the radius of the ball is equal to 3 units.
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Rachel, Trey, and Juan sent a total of 85 text messages over their cell phones during the weekend. Rachel sent 10 more messages than Trey. Juan sent 3 times as many messages as Rachel. How many messages did they each send?
Answer:
Trey = 9 text messages
Rachel = 19 text messages
Juan = 57 text messages
Step-by-step explanation:
Let
Number of messages Trey sent = x
Number of messages Rachel sent = x + 10
Number of messages Juan sent = 3(x + 10)
Total messages = 85
Total = Trey + Rachel + Juan
85 = x + (x + 10) + 3(x + 10)
85 = x + x + 10 + 3x + 30
85 = 5x + 40
85 - 40 = 5x
45 = 5x
x = 45/5
x = 9
Number of messages Trey sent = x = 9 text messages
Number of messages Rachel sent = x + 10
= 9 + 10
= 19 text messages
Number of messages Juan sent = 3(x + 10)
= 3(9 + 10)
= 3(19)
= 57 text messages
Find the integer that lies between [tex]$\sqrt[3]{-45}$ and $\sqrt[3]{-101}$[/tex]
∛(-45) = ∛((-1) × 45) = ∛(-1) × ∛45 = -∛45
Similarly,
∛(-101) = - ∛101
Now,
• 3³ = 27 and 4³ = 64, and 27 < 46 < 64, so ∛27 < ∛45 < ∛64, which places ∛45 between 3 and 4
• 5³ = 125, so ∛101 would similarly fall between 4 and 5
So to summarize, we have
3 < ∛45 < 4 < ∛101 < 5
so that
-5 < ∛(-45) < -4 < ∛(-101) < -3
so the integer between these numbers is -4.
Can someone help me?
Answer:
C
Step-by-step explanation:
its asking for y, on the graph, the line is placed on point 4
(iii) If a, b, c are rational numbers, then
a x (b-c) #ax b-ax c. true or false
Answer:
false
Step-by-step explanation:
answer:ab-ac=ab-ac
Which graph represents the function of f(x) = 4x² - 4x -8/2x+2.
Answer:
I think that second option represents the function of f(x) = 4x² - 4x -8/2x+2.
Please answer this, I need help
Answer:
For this exercise, we need to add to the $200 the cost of the hours the DJ has been working
If each hour costs 12.50 $ and he worked 8.5 hours, we can just multiply to see the price of their work: 12.5 * 8.5 = $106.25
Now, we can do the sum: 200 + 106.25 = $306.25
You deposit $100 into a savings account that gives you 5.5% annual interest rate, compounded quarterly. What will be your balance after 4 years?
Answer:
$124.42.
Step-by-step explanation:
Given data
Principqp= $100
Rate= 5.5%
time=4 years
First, convert R as a percent to r as a decimal
r = R/100
r = 5.5/100
r = 0.055 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt // Since we are compounding quarterly
A = 100.00(1 + 0.055/4)(^4)(4)
A = 100.00(1 + 0.01375)^(16)
A = $124.42
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $100.00 at a rate of 5.5% per year compounded 4 times per year over 4 years is $124.42.
18 - (-f) = 91 (With work please)
18 - (-f) = 91
Subtracting a negative value changes to addition:
18 + f = 91
Subtract 18 from both sides:
F = 73
Answer:
f = 73
Step-by-step explanation:
Solve for f
18 - ( - f ) = 91
Remove the parantheses and change their sign.18 + f = 91
subtract each side by 1818 - 18 + f = 91 - 18
calculatef = 73
Using the digits 0, 1, 2, ...8, 9, determine how many 4-digit numbers can be constructed according to the following criteria.
The number must be odd and greater than 6,000; digits may be repeated.
The number of 4-digit numbers that can be constructed is
Answer:
2000
Step-by-step explanation:
Since the number must be odd, it can have either 1, 3, 5, 7 or 9 in its one's place.
With a 4-digit number starting with 6, any of these digits can be in the one's place and it will still be greater than 6,000.
For the one's place, since we can choose from 5 digits, we have ⁵P₁. In the thousands place, we have one digit which is 6. For the tens and hundreds, place, we can choose from ten digits. So, we have ¹⁰P₁ and ¹⁰P₁ respectively.
So, the total number of 4 digit odd numbers greater than 6000 starting with 6 are 1 × ¹⁰P₁ × ¹⁰P₁ × ⁵P₁ = 1 × 10 × 10 × 5 = 500 numbers.
For the thousands place, we are left with the digits 7, 8 and 9. So, to arrange these 3 digits in the thousands place, we have ³P₁. For the tens and hundreds, place, we can choose from ten digits. So, we have ¹⁰P₁ and ¹⁰P₁ respectively. For the one's place, since we can choose from 5 digits, we have ⁵P₁.
So, the total number of 4 digit odd numbers greater than 6000 starting with 7, 8 or 9 are ³P₁ × ¹⁰P₁ × ¹⁰P₁ × ⁵P₁ = 3 × 10 × 10 × 5 = 1500 numbers.
So, the total number of 4-digit numbers greater than 6000 that can be constructed is 500 + 1500 = 2000 numbers.
Antônia tem um caneca com a capacidade de 2/3Lde água. Que fração dessa caneca ela encherá com 1/2L de água?
Answer:
The fraction of cup filled with water is 3/4.
Step-by-step explanation:
Antonia has a mug with a capacity of 2/3L of water. What fraction of that mug will she fill with 1/2L of water?
Capacity = 2/3 L
Amount of water = 1/2 L
Fraction of amount of water to the capacity of mug is
[tex]\frac{1}{2}\div \frac{2}{3}\\\\\frac{3}{4}[/tex]
Sarah wants to print copies of her artwork. At the local print shop, it costs her $1 to make 5 copies and $5 to make 25 copies. How much would it cost Sarah to make 100 copies?
Answer:
$20
Step-by-step explanation:
5 copies cost $1.
25 copies cost $5.
So you have to do 100/5=$20 for 100 copies.
Answer:The answer is 20
Step-by-step explanation:
Arby's age is 6 years less than 7 times Anna's age. If Anna's age is x years, which expression best shows Arby's age?
A = x
B = 7x - 6
C = x - 1
D = 6x - 7
B = 7x - 6 is the correct answer.
A salesman receives a salary of 250 a month. To this is added 5/4% of the sales that he makes. what is his pay for a month in which he makes 1500 in sales.
Answer: $268.75
Step-by-step explanation:
First, find the amount he earned from his sales:
5/4% = 1.25% =0.01251500(0.0125) = $18.75
Next, add that to his monthly salary:
$250 + $18.75 = $268.75
What are the steps in order of operations
El resultado de 3^2∙3^2 es:
Answer:
3^2 x 3^2 = 813^2 = 3 x 3 = 9
9 x 9 = 81
Answer:
[tex]3^{2} \times3^{2}[/tex]
[tex]3^{2+2}[/tex][tex]3^{4}[/tex][tex]3x^{4} =81[/tex][tex]Answer: 81[/tex]
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hope it helps...
have a great day!!
if we have 765 toys and there are 3 people how many toys should we give to each man
Answer:
255 is the answer
Step-by-step explanation:
Divide 765 by 3 and the answer will come .
Hope it will help u
Solve the inequality. w/-2<8
Answer:
w > -16
Step-by-step explanation:
What is the solution to the equation below?
√2x/√x-1=2
A. 4 B. 2 C. 5 D.3
Given:
The given equation is:
[tex]\dfrac{\sqrt{2x}}{\sqrt{x-1}}=2[/tex]
To find:
The solution for the given equation.
Solution:
We have,
[tex]\dfrac{\sqrt{2x}}{\sqrt{x-1}}=2[/tex]
On simplification, we get
[tex]\sqrt{2x}=2\sqrt{x-1}[/tex]
Squaring both sides, we get
[tex]2x=4(x-1)[/tex]
[tex]2x=4x-4[/tex]
[tex]2x-4x=-4[/tex]
[tex]-2x=-4[/tex]
Divide both sides by -2.
[tex]x=\dfrac{-4}{-2}[/tex]
[tex]x=2[/tex]
Therefore, the correct option is B.
please help!
factor f(x)=6x^2-x-2
Hi there!
[tex]\large\boxed{(3x - 2)(2x + 1) }[/tex]
6x² - x - 2
To solve, we must factor into the following format:
(ax - b)(cx - d)
The following conditions must be met:
a · c = 6
da + bd = -1
b · d = -2
By guessing and checking, we get:
(3x - 2)(2x + 1)
Answer for Acellus:
(2 x + 1) (3 x - 2)
Step-by-step explanation:
i checked the equation on an online calculator, and it came up with it switched (compared to the other answer that is posted) like so...
I put the answer in and it said it was right for Acellus.
Hope this helps :))
Using the net below, find the surface area
of the pyramid.
sto
5 in
5 in.
Surface Area
=
[?] in?
Enter
Answer:
Using the net below, find the surface area
of the pyramid.
sto
5 in
5 in.
Surface Area
=
[?] in?Step-by-step explanation:
i need help plzzzz!!!!!! find the area
Answer:
3
Step-by-step explanation:
Area = 1/4 * √(5(5+2√5)) * a^2
Area ≈387.11
because each bag only covers 150 we need 3 bags
Answer:
area = 387 ft^2
3 bags
Step-by-step explanation:
See the picture below.
The pentagon is made up of 5 congruent triangles. One triangle is shown on the bottom right figure.
The left figure shows half of the triangle. We need to find h, the height of the triangle.
For a regular pentagon, the measure of each interior angle is
(n - 2)180/5 = 108
Half of the angle is 54 deg.
tan A = opp/adj
tan 54 = h/7.5
h = 7.5 * tan 54
h = 10.32 ft
Area of half triangle = bh/2 = 7.5 ft * 10.32 ft/2 = 38.7 ft^2
The pentagon is made up of 5 larger triangles or 10 half triangles.
Area of pentagon = 10 * 38.7 ft^2
Area of pentagon = 387 ft^2
1 bag is good for 150 ft^2.
387 ft^2/150 ft^2 = 2.6
She needs 2.6 bags, so she must buy 3 bags.
Answer: 3 bags
could someone help with question 4 i’m not too sure what it means
all even except 4th equation
Step-by-step explanation:
an even equation is the one who proves that f(-x) = f(x)
Which graph represents this system?
y=3
x+y= 4
Find the length of the line AB
Answer:
the length would be 12.
Step-by-step explanation:
Answer:
[tex]{ \boxed{ \bf{length = \sqrt{(x _{2} - x _{1}) {}^{2} + {(y _{1} - y _{2}) }^{2} }}}} \\ { \tt{length = \sqrt{ {(5 - ( - 2)) }^{2} + {(7 - 3)}^{2} } }} \\ { \tt{length = \sqrt{65} }} \\ length = 8.06 \: units[/tex]
Someone help me with this please
Answer:
4 number
Step-by-step explanation:
16p+32q=1,280
What is the value of (3/10)^3?
♡ 3/1000
♡27/1000
♡9/10
♡27/10
Answer:
27/10 is the value of (3/10)^3.
Step-by-step explanation:
It is also written as 0.027
Hi, I'm new, please can you help me with these math exercises Thank you very much
:3 given the algebraic fraction p (x) 2x2-2x determine its numerical value for x: 3 3x-1 given the algebraic fraction p (xy) - 3xy-y2 + x xy- + determine its numerical value for x- {3 y- {2 p (x, y) part 2: perform the following exercises by factoring a) b8 p4 + b: up3 -12 b7 p2 + 15u2 + b3 p5: b ) 32 p2 -24 p3 + 16 p2 -8 p4: part 3: perform the following equations a) 4x + 5 + 2: 3x-2 + 5b) 2-9x + 6: 2x-4x-6c) 3x-5 + 2: 2 + 4x-3d) bx-5x + 4: 3x + 5x + 2
thank you
Question 3: use the image and your knowledge of the isosceles triangle to find the value of x
Answer:
72 +72=144
180-144=36
the answer is 36°
The measure of the angle x is 36° obtained by the concept of an Isosceles triangle and interior angle sum.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know an isosceles triangle has two similar sides and angles opposite to the similar side and also measures the same.
So, By the interior angle sum concept,
72° + 72° + x = 180°.
x = 36°.
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a phrase is shown. seven times the sum of a number ,n, and four . which expression represents the phrase ?
Answer: 7(n + 4)
Step-by-step explanation:
I'm not sure how to explain this one, but I'll try:
Seven times the sum of a number, n, and four
7 times n + 4 (sum means addition)
What is the word form of 1.604
Answer:
one point 4 inchs
Step-by-step explanation: yessuh
Answer:
one and six hundred four thousandths
