Answer:
2048
Step-by-step explanation:
Formula for volume of a sphere is given:
V = 4/3πr^3
Where r = radius
The sphere shown has a given radius of 8
All we have to do to find the volume of the sphere is simply plug in the given value of the radius (8) into the volume of a sphere formula
(Note it says use 3 for π )
V = 4/3(3)r^3
Substitute 8 for r
V = 4/3(3)(8)^3
Plug this into a calculator and you get that the volume is 2048
Answer:
2,048in³
Step-by-step explanation:
The formula to find the volume of the sphere is already given to you in the problem. All we need to do is substitute and solve.
V = 4/3π(8)³
V = 4/3π(512)
V ≈ 682.67(3)
V ≈ 2,048
Best of Luck!
What is the area of the parallelogram represented by the vertices A(-6, -1), B(-2, -1), C(-1, -4) and D(-5, -4)?
Answer: 12 units²
Step-by-step explanation:
To find the area of a parallelogram, we use the formula A=l×w. To find the length and width, let's graph out the parallelogram to get a better view. Let's refer to the picture attached to see what the graph looks like. The length is 4 units while the width is 3 units. Therefore we multiply.
A=4×3=12 units²
Now, we know the area is 12 units².
If m angle ABF = (6x + 26)°, m angle EBF = (2x - 9)° , and m angle ABE = (11x - 31)° , find M angle ABF.
Answer:
122
Step-by-step explanation:
Angle ABE = angle ABF + EBF
11x - 31 = 6x + 26 + 2x - 9 add like terms
11x - 31 = 8x + 17 transfer like terms to the same side of the equation
11x - 8x = 17 + 31 add/subtract like terms
3x = 48 divide both sides by 3
x = 16 now replace x with 16 in the equation
16*6+26 = 122
If 81y^2-k=9y^2-(1/2)^2 what is the value of k
Answer:
k = 1/4
Step-by-step explanation:
81y² - k = (9y)² - (1/2)²
(9y)² - k = (9y)² - (1/2)²
k = (1/2)² = 1/4
A bean plant grows at a constant rate for a month. After 10 days, the plant is
25 centimeters tall. After 20 days, the plant is 45 centimeters tall.
Which equation models the height of the plant, y, after x days?
Answer:
y-25 = 2(x-10)
Step-by-step explanation:
First find the slope using the points (10,25) and (20,45)
m = ( y2-y1)/(x2-x1)
m = (45 - 25)/(20-10)
= 20/10
= 2
Then using point slope form of a line
y-y1 = m(x-x1)
y-25 = 2(x-10)
Which statement is not correct?
options b is not correct
Answer:
B is right option
Step-by-step explanation
A reflex angle is an angle that measures greater than 180 degrees and less than 360 degrees.
The function f(x) = One-sixth (two-fifths) Superscript x is reflected across the y-axis to create the function g(x). Which ordered pair is on g(x)?
Answer:
[tex](-3,4/375)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{6}(\frac{2}{5})^x[/tex]
Reflection: Across y-axis
Required
The ordered pair on g(x)
The rule of reflection across y-axis is:
[tex](x,y) = (-x,y)[/tex]
So, we have:
[tex]g(x) = f(-x)[/tex]
f(-x) is:
[tex]f(-x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]
Recall that:
[tex]g(x) = f(-x)[/tex]
Hence:
[tex]g(x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]
From the options (missing in the question), the ordered pair is:
[tex](-3,4/375)[/tex]
To check this, we have:
[tex]g(x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]
[tex]g(-3) = \frac{1}{6}(\frac{2}{5})^{--3[/tex]
[tex]g(-3) = \frac{1}{6}(\frac{2}{5})^{3[/tex]
Expand
[tex]g(-3) = \frac{1}{6}(\frac{8}{125})[/tex]
Simplify
[tex]g(-3) = \frac{1}{3}(\frac{4}{125})[/tex]
Open bracket
[tex]g(-3) = \frac{4}{375}[/tex]
Can someone help me?
Answer: b
Step-by-step explanation:
With the steps pls ……………………..
Answer: $21, 600
Step-by-step explanation:
Given:
Original cost (when the shop owner brought it) = $20,000
Profit amount = 20% of original cost
Discount rate = 10%
Solve:
First Step: Find the market price (before discount)
$20, 000 × (1 + 20%) = $24, 000Second Step: Find the discount price
$24, 000 × (1 - 10%) = $21, 600Hope this helps!! :)
Please let me know if you have any questions
Tonya and Leo each bought a cell phone at the same time. The trade-in values, in dollars, of the cell phones are modeled by the given functions, where x is the number of months that each person has owned the phone. Tonya's Phone Leo's Phone f(x) =490(0.88)x x g(x) 0 480 2 360 4 270 phone has the greater initial trade-in value. During the first four months, the trade-in value of Tonya's phone decreases at an average rate the trade-in value of Leo's phone.
Answer:
The answer is Tonya's phone had the greater initial trade-in value.
Leo's phone decreases at an average rate slower than the trade in value of Tonya's phone.
Step-by-step explanation:
Given
Tonya
[tex]f(x) = 490 * 0.88^x[/tex]
Leo
[tex]x \to g(x)[/tex]
[tex]0 \to 480[/tex]
[tex]2 \to 360[/tex]
[tex]4 \to 470[/tex]
Solving (a): The phone with greater initial value
The initial value is when x = 0. So, we have:
[tex]f(x) = 490 * 0.88^x[/tex]
[tex]f(0) = 490 * 0.88^0[/tex]
[tex]f(0) = 490 * 1[/tex]
[tex]f(0) = 490[/tex]
From Leo's table
[tex]g(0) = 480[/tex]
By comparison;
[tex]f(0) > g(0)[/tex]
i.e.
[tex]490 > 480[/tex]
So: Tonya's had the greater initial trade-in value
Solving (b): The phone with lesser rate
An exponential function is:
[tex]y = ab^x[/tex]
Where:
[tex]b \to rate[/tex]
For Tonya
[tex]b = 0.88[/tex]
For Leo, we have:
[tex](x_1,y_1) = (0,480)[/tex]
[tex](x_2,y_2) = (2,360)[/tex]
So, the equation becomes:
[tex]y = ab^x[/tex]
[tex]480 = ab^0[/tex] and [tex]360 = ab^2[/tex]
Solving [tex]480 = ab^0[/tex], we have:
[tex]480 = a * 1[/tex]
[tex]480 = a[/tex]
[tex]a= 480[/tex]
[tex]360 = ab^2[/tex] becomes
[tex]360 = 480 * b^2[/tex]
Divide both sides by 480
[tex]0.75 = b^2[/tex]
Take square roots
[tex]0.87 = b[/tex]
[tex]b=0.87[/tex] -- Leo's rate
By comparison; Leo's rate is slower i.e. 0.87 < 0.88
SOMEONE PLEASE HELP!!!!!!!!!!!!!
Answer:
x = 25.2
Step-by-step explanation:
[tex]\frac{5}{18} =\frac{7}{x}[/tex]
5x = 126
x = 25.2
2(x+3) + 9 - 5 = 32
Solve for x.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = 11[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\2(x+3)+9-5=32\\----------------\\\rightarrow 2x + 6 + 9 - 5 = 32\\\\\rightarrow 2x + 10 = 32\\\\\rightarrow 2x + 10 - 10 = 32 - 10\\\\\rightarrow 2x = 22\\\\\rightarrow \frac{2x=22}{2}\\\\\rightarrow \boxed{x=11}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Which property is used to simplify 45and + 3 (25x+75Y) to 5y + 65x?
Answer:
Distributive property
Step-by-step explanation:
The question is not properly formatted.
From the available detail, I will re-write the question as follows
[tex]45x + 3(25x + 75y)[/tex]
Required
The property used
Distributive property is stated as follows:
[tex]a(b \± c) = ab \± ac[/tex]
So, we have:
[tex]45x + 3(25x + 75y) = 45x + 75x + 225y[/tex]
Evaluate like terms
[tex]45x + 3(25x + 75y) = 120x + 225y[/tex]
The ages of 20 school children are recorded as follows:. 13 19 15 17 13 9 11 9 11 15 17 15 11 9 9 11 15 11 11 11. a. Make a frequency for the data b. What is the modal age c. Calculate. i) The mean age correct to the nearest whole number. ii) The range. d. What is the probability of selecting a child between the ages of 12 and 14
Answer:
The modal age is 11
The range is the highest minus the Lowe's which is 19-9=10
Help me pleasee anyone
V(X+8)=x-4
Solve.
Radical equations and inequalities edge test is so hard smh
Answer:
x = V(X + 8) + 4
Step-by-step explanation:
Switch sides
x - 4 = V(X + 8\)
Add\ 4 to both sides
x - 4 + 4 = V(X + 8\) + 4
Simplify
x = V(X + 8) + 4
What is the product? 3x(-6 -11 -14 -9)
Answer:
The product is -120
Aplica el método de eliminación Gaussiana
Hello,
Here are the solution in excel files
par la méthode de Gauss
I NEED HELP WITH THIS PLEASE!!!!!
Answer:
nt ooooo
o
Step-by-step explanation:
Can some1 tell me fast pls what is the additive inverse of -9/2
Answer:
9/2
Step-by-step explanation:
For example, the additive inverse of 7 is −7, because 7 + (−7) = 0, and the additive inverse of −0.3 is 0.3, because −0.3 + 0.3 = 0.
-9/2 + 9/2 = 0
Answer:
9/2.
Step-by-step explanation:
If x is the additive inverse then
x + (-9/2) = 0
x - 9/2 = 0
so x = 9/2.
If f(x) = 4x2 and g(x) = x+1, find (f•g)(x)
A. 4x3+4x2
B. 4x(x)
C. 4X2 + 1
D. 4(x + 1)
Answer:
4x^3+4x^2
Step-by-step explanation:
f(x) = 4x^2
g(x) = x+1
(f•g)(x) = (4x^2) *(x+1) = 4x^3+4x^2
find the area of this shape
Please help me asap
Answer:
(1/2×6×8)+(π×4^2/2)
=49.12 ft^2
☆○☆○☆○☆○☆○
Hope it helps..
Have a great day!!!
Wait sorry ignore this I'm still getting used to brainly and I did the question wrong sorry
Sonia received a statement on her Certificate of Deposit showing that her investment had returned $4,320 over its life. If the Certificate of Deposit pays a simple interest rate of 4.8% and her initial investment was $12,000, how long had the money been invested?
Answer:
The correct answer is -7.5 years.
Step-by-step explanation:
Given:
Principle amount = 12000
Interest = 4320
time = ?
rate = 4.8 simple interest
Solution:
We know that simple Interest I = (P*t*r)/100
then t = I*100/p*r
putting values in formula:
t = 4320*100/4.8*12000
= 432000/57,600
= 7.5 years
HELP pythagorean identity
Answer:
sin x
Step-by-step explanation:
sin ^2 x + sin x + cos ^ x -1
sin ^2 x + cos ^ x + sin x-1
We know that sin^2 x + cos ^2 x = 1
1 + sin x -1
sin x
Hi!
[tex]\sin^2x+\sin x+\cos^2 x-1=\\\\=\underline{\sin^2x+\cos^2x}+\sin x-1=\\\\=1+\sin x-1=\boxed{\sin x}[/tex]
the longest side of a triangle is 80cm more than the second and 130cm more than the shortest side and its perimeter is 540cm. find its area
help help
Answer:
Area of triangle1/2b*h Now you can do
The area of the triangle is 9000 square centimeters
How to determine the area?Let the sides in order of length be represented as:
x, y and z.
So, we have:
z = 80 + y
z = 130 + x
P = 540
The perimeter is calculated as:
P = x + y + z
So, we have:
x + y + z =540
Substitute z = 130 + x
x + y + 130 + x =540
Evaluate the like terms
2x + y = 410
Substitute z = 130 + x in z = 80 + y
130 + x = 80 + y
Evaluate the like terms
x - y = -50
So, we have:
2x + y = 410
x - y = -50
Add both equations
3x = 360
Divide by 3
x = 120
Substitute x = 120 in z = 130 + x
z = 130 + 120
z = 250
Substitute z = 250 in z = 80 + y
250 = 80 + y
y = 170
So, we have:
x = 120
y = 170
z = 250
The area is then calculated as:
[tex]Area = \sqrt{s * (s -x) *(s - y) * (s -z)[/tex]
Where
s = P/2 = 540/2
s = 270
So, we have:
[tex]Area = \sqrt{270 * (270 -120) *(270 - 170) * (270 -250)[/tex]
Evaluate
Area = 9000
Hence, the area of the triangle is 9000 square centimeters
Read more about areas at:
https://brainly.com/question/24487155
#SPJ6
two sides of a triangle have lengths 7 and 17. find the range of possible length for the third side
by using Pythagoras theorem c2= a2 + b2
so let's say c= 17 and a= 7, let's calculate for b
(17)^2 = (7)^2 + b2
289= 49+b2
289 - 49 = b2
240 =b2
√249 = b
b = 15 . 49
What is the slope of a segment whose endpoints are labeled (-2a, 0) and (0, -2b)?
Answer:
Step-by-step explanation:
use the slope formula Faith,
point P1 (-2a,0) in the form (x1,y1)
point P2(0,-2b) in the form (x2,y2)
slope = m
m = (y2-y1) / (x2-x1)
m = (-2b - 0 ) / (0-(-2a))
m = -2b / 2a
m = - b/a
they are trying to confuse you with the "a" and "b" variables in the problem, but just use the rules you know to solve what you can :)
The polygons in each pair are similar. Find the missing side length
Answer:
24 is the answer because 18/3=6 6x4 is 24
I don't understand this help me : )
Answer:
Alternate interior angles theorem
Step-by-step explanation:
Hope it helps you in your learning process.
Please help me with this, i need help
Answer:
woa
i n
Step-by-step explanation:
xét tính chẵn lẻ của hàm số : y = tanx + cotx
Answer:
Step-by-step explanation: