Question 31 of 41
What is the surface area of the sphere shown below with a radius of 7?
7
7.7--
Answer:
615.75
Step-by-step explanation:
A=4 times pi times r squared
4 times pi times 49 = 615.752160104
Round it to 615.75
Answer as a reduced proper fraction when applicable.
Answer:
7/3
Step-by-step explanation:
5/3 + 3/4 *8/9
First multiply
I like to rewrite to simplify
5/3 + (3/9 *8/4)
5/3 + (1/3 * 2/1)
5/3 + 2/3
Add ( they have like denominator)
7/3
What is 2 √(54 + 5 √(24 in simplified radical form?
Please explain :)
Answer:
16√6 is correct
Step-by-step explanation:
The volume of the cylinder is 51207 m. What is the missing value? K 20
Answer:
57.11 m
Step-by-step explanation:
The formula for the volume of a cylinder of radius r and length h is
V = πr²h. We want to solve this formula for d, the diameter of the cylinder.
Start by solving the equation V = πr²h for r²: divide both sides by πh.
V
Then r² = -------------
πh
51207 m³
Substituting 20 for h and 3.14 for π, we get r² = ------------------ or:
3.14(20 m)
r² = 815.40 m²
Find the radius by taking the square root of both sides of the previous result:
r = 28.56 m
The diameter is twice the radius, and therefore the diameter here
is d = 2(28.56) m = 57.11 m
Which equation represents the graphed function? O y = -3x + 3 O y = 3x - 3 O y = 3x - 2 / 2 O y=-*x+3
Answer:
y=1/3x+3
Step-by-step explanation:
the general equation for a straight line is y=mx+c.where c is the y cut therefore the y cut on our graph is at (0,3)therefore c is 3
we then find the gradient which is "m" on our equation using the formula m=y2-y1/x2-x1
then we substitute the m and c then tha is the equation.
Answer:
Step-by-step explanation:
What is the average rate of change for this quadratic function for the interval
from x = 1 to x = 3?
O A. -8
B.-4
O O
C. 8
O D. 4
==========================================================
Explanation:
The table says that when x = 1, the output is y = -2.
So the point (1, -2) is on the parabola.
The table also says that point (3, -10) is on the parabola. We're focusing on this because x = 3 is the other endpoint.
Find the slope of the line through those two points. The slope here is the same as the average rate of change.
m = (y2 - y1)/(x2 - x1)
m = (-10 - (-2))/(3 - 1)
m = (-10 + 2)/(3 - 1)
m = -8/2
m = -4 is the slope, and therefore, the average rate of change from x = 1 to x = 3.
Y=-1/3x+6 and x=-6 find the solution to the system
Answer:
(- 6, 8 )
Step-by-step explanation:
Given the 2 equations
y = - [tex]\frac{1}{3}[/tex] x + 6 → (1)
x = - 6 → (2)
Substitute x = - 6 into (1) and evaluate for y
y = - [tex]\frac{1}{3}[/tex] × - 6 + 6 = 2 + 6 = 8
solution is (- 6, 8 )
What is the value of x in the equation 58 = 10x − 2?
Answer:
6
Step-by-step explanation:
10x6=60-2=58
Answer:
x = 6
Step-by-step explanation:
[tex]58 = 10x - 2 \\58 + 2 = 10x \\60 = 10x \\6 = x[/tex]
The function f(x) is multiplied by a factor of 2 and then 3 is added to the function.
f(x) = sin(x)
What effect does this have on the graph of the function?
A.) The graph is vertically compressed by a factor of 3 and shifted up 2 units.
B.) The graph is vertically stretched by a factor of 3 and shifted up 2 units.
C.) The graph is vertically compressed by a factor of 2 and shifted up 3 units.
D.) The graph is vertically stretched by a factor of 2 and shifted up 3 units.
Given:
The function is:
[tex]f(x)=\sin x[/tex]
The function f(x) is multiplied by a factor of 2 and then 3 is added to the function.
To find:
The effect on the graph of the function.
Solution:
The transformation is defined as
[tex]g(x)=kf(x)+b[/tex] .... (i)
Where, k is stretch factor and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
It is given that the function f(x) is multiplied by a factor of 2 and then 3 is added to the function. So, the new function is:
[tex]g(x)=2f(x)+3[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]k=2[/tex], it means the graph is vertically stretched by a factor of 2.
[tex]b=3[/tex], it means the graph is shifted up 3 units.
Therefore, the correct option is D.
Answer:
D.) The graph is vertically stretched by a factor of 2 and shifted up 3 units
Step-by-step explanation:
best of luck to you all~! You are the best <3
Un capital de $10 000 se coloca a una tasa anual de interés compuesto del 6% durante 3 años. Determinar el interés generado Si la capitalización es una vez al año Si la capitalización es una vez al mes
Answer:
(a) $ 1191
(b) $ 1966.8
Step-by-step explanation:
Principal, P= $ 10000
Rate of interest, r = 6 % per year
time, t = 3 years = 36 months
(a) Interest per year
The amount is given by
[tex]A = P \times \left ( 1+\frac{r}{100} \right )^{t}\\\\A = 10000 \times \left ( 1+\frac{6}{100} \right )^{3}\\\\A = 10000 \times 1.191\\\\A = 11910.2[/tex]
Interest is given by = $11910.2 - $10000 = $ 1910.6
(b) interest per month
The amount is given by
[tex]A = P \times \left ( 1+\frac{r}{100} \right )^{t}\\\\A = 10000 \times \left ( 1+\frac{6}{1200} \right )^{36}\\\\A = 10000 \times 1.1967\\\\A = 11966.8[/tex]
Interest paid is = $ 11966.8 - $ 10000 = $ 1966.8
Evaluate the expression (ab)^2for a = 4 and b = 3.
Answer:
144
Step-by-step explanation:
Plug in a and b
In this case a=4, b=3
(ab)^2
( (4)(3) )^2
(12)^2
12x12
144
If this helps please mark as brainliest
Answer:
144
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
(ab)²
a = 4
b = 3
Step 2: Evaluate
Substitute in variables: [4(3)]²[Brackets] Multiply: 12²Exponents: 144please help me i dont understand
Answer:
alternate interior, 37 degrees
step-by-step explanation:
these are alternate interior angles and alternate interior angles are always equal :)
What must x equal for line a to be parallel to line b?
Answer:
Step-by-step explanation:
85=5x+10
85-10=5x
75/5=x
15=x
Select the correct answer.
Ruby has a loss of $45 in her business. How will she enter the loss in her account book?
A.
$45
B.
+$45
C.
-$45
D.
45
Reset
Ruby lost $45 so she can enter it into her account as this: C. -$45
Find the slope of the graphed line below
Step-by-step explanation:
hope it helps you........
What is the slope of the table of values
Answer:
I think the answer for this is A.
Step-by-step explanation:
since 25$ is added to get the everyday cost.
Solve for x
A) 4
B) -3
C) 7
D) -10
Algebra
Make an equation to make the equation equal 12.
[tex]2x - 13 + x + 4 = 12[/tex]
Combine Like-Terms.
Make an equation.
[tex]3x - 9 = 12[/tex]
Add nine to both sides.
[tex]3x = 21[/tex]
Divide both sides by three.
[tex]x = 7[/tex]
show work if u can please
Answer:
Step-by-step explanation:
Set up a right triangle to reflect the tangent ratio. Tangent is equal to the side opposite the reference angle over the side adjacent to the reference angle. If tangent is 4/3, then the side opposite the reference angle is 4 in length and the side adjacent is 3 in length. The reference angle, just for clarification, is the base angle that is not the right angle. So we have a right triangle with a height of 4 and a base of 3. We need the sin ratio from that. The sin ratio by definition is the side opposite the reference angle over the hypotenuse. But we don't have the hypotenuse. We have to solve for it using Pythagorean's Theorem.
[tex]h^2=4^2+3^2[/tex] and
[tex]h^2=16+9[/tex] and
[tex]h^2=25[/tex] so
h = 5. Now we find the sin ratio to be 4/5 (the side opposite the reference angle over the hypotenuse).
how many solutions does x^3 -5x^2 +16x-80 have
Answer: (x-5)(x^2+16)
diamond problems pls help
Answer: The left is 2 and the right 7
Step-by-step explanation: 1 + 14 = 15
2 + 7 = 9 Hope this helped!!
Answer Please........
Answer:
67.3 degrees
Step-by-step explanation:
Use tan ^-1
tan^-1 (55/23) = 67.3
Kesha borrowed $1,800 at 5% SIMPLE INTEREST. How much did Kesha owe after 6 months?
Interest: $
Total she owed: $
Answer:
Use Simple Interest Formula=PrT/100
SI=$1800×5×6/12÷100
=4500/100
=$45
Step-by-step explanation:
$45 is the interest that's gonna be owed after 6months so therefore the total $ she owed after 6 months would be: $45 + $1,800=$1,845.
help please ??????????????
Answer:
620.63
Step-by-step explanation:
use the formula given
r= interest rate
n= numer of times it's compounding in a year
t= time
p= principle amount
[tex]400(1+\frac{.04}{12})^{12*11}=620.628[/tex]
Can anyone simplify this ratio?
Answer:
I think it's A because 98÷14=7, 63÷9=7, 14÷2=7
Step-by-step explanation:
And all of those can be divided they even get the same numbers when you divide them which is 7.
(ii) 3x - 5y - 4 = 0 and 9x = 2y +7
Step-by-step explanation:
3×‐9×-5y-2y =0-7
-6x-7y =-7
Answer:
[tex]x = \frac{9}{13} \ , \ y = - \frac{5}{13}[/tex]
Step-by-step explanation:
3x - 5y = 4 ----------- ( 1 )
9x - 2y = 7 -----------( 2 )
______________________
( 1 ) x 9 => 27x - 45y = 36 ----------------- ( 3 )
( 2) x 3 => 27x - 6y = 21 -------------------( 4 )
_____________________
( 3 ) => 27x - 45y = 36
- ( 4 ) => -27x + 6y = - 21
____________________
( 3 ) - ( 4 ) => 0x - 39y = 15
-39y = 15
[tex]y = \frac{15}{-39} = -\frac{5}{13}[/tex]
Substitute y in ( 1 ) :
[tex]3x - 5y = 4\\\\3x - ( 5 \times -\frac{5}{13}) = 4\\\\3x + \frac{25}{13} = 4\\\\3x = 4 - \frac{25}{13}\\\\3x = \frac{52 - 25}{13}\\\\3x = \frac{27}{13}\\\\x = \frac{27}{13 \times 3}\\\\x= \frac{9}{13}[/tex]
What is the solution to this equation?
8x-2(x - 5) = x + 25
A. x= 3
B. x= 7
C. x = 6
D. X= 4
Answer:
x=3
Step-by-step explanation:
8x-2(x - 5) = x + 25
Distribute
8x -2x+10 = x+25
Combine like terms
6x +10 = x+25
Subtract x from each side
6x-x +10 = x+25-x
5x +10 = 25
Subtract 10 from each side
5x-10+10 =25-10
5x= 15
Divide each side by 5
5x/5 =15/5
x=3
Answer:
A. x = 3
Step-by-step explanation:
8x- 2(x - 5) = x + 25
Using distributive property
8 x - 2 x - 10 = x + 25
combine like terms
6 x - 10 = x + 25
subtract both side from x
6 x - x - 10 = x - x + 25
5 x - 10 = 25
Add 10 to both side
5 x - 10 + 10 = 25 - 10
5 x = 15
Divide both side by 5
5 x / 5 = 15 / 5
x = 3
‘I-Moons’ charges $12 per album downloaded and an initial joining fee of $3. ‘I-Toons’ Charges $10 per album downloaded and a joining fee of $9. Write a system of linear equations that models this situation. Determine how many albums (x) it will take for the cost (y) to be the same. What does that cost?
Answer:
y = 3 + 12x - - - (1)
y = 9 + 10x - - - (2)
3 albums
$39
Step-by-step explanation:
Let number of download = x
Given :
I-moon :
Initial joining fee = $3
Cost per download = $12
Hence,
y = 3 + 12x - - - (1)
I - Toons :
Initial joining fee = $9
Cost per download = $10
y = 9 + 10x - - - (2)
For cost to be the same ;
Equate (1) and (2)
3 + 12x = 9 + 10x
Collect like terms
3 - 9 = 10x - 12x
-6 = - 2x
x = 3
It will take 3 albums
Cost :
3 + 12(3)
3 + 36 = 39
i neeed hellppppp plzzz
Answer:
Mean=85.5
Median=82
Mode=82
Range=25
Please would you mind marking me as the brainliest:)
Answer:
Mean: 85
Median: 82
Mode: 82
Range: 25
Step-by-step explanation:
The mean is the average of all of the numbers. You add all of the numbers together and then divide by the total amount of number you have. In this case you have 8 scores. So you add all the scores together, and then divide by 8:
82 + 78 + 82 + 80 + 100 + 96 + 75 + 91 = 684
684/8 = 85.5
So 85 is the mean.
The median is the number that is in the middle of all of the numbers listed. To do this, first list the numbers in order:
75, 78, 80, 82, 82, 91, 96, 100
The two numbers in the middle are both 82. So, 82 is the median.
The mode is the number that appears the most. In this problem, you can see that the number 82 appears twice. So 82 is the mode.
The range is the highest number minus the smallest number. Here, the highest number is 100. The smallest number is 75. So,
100 - 75 = 25
25 is the range.
question in picture, thankyou
Answer:
19.82%
Step-by-step explanation:
Add all members that want weight lifting
47 + 21 + 14 + 29 = 111
111 / total members
111 / 560 = 0.1982
0.1982 * 100% = 19.82%
Answer:
33% of 100% of men
Step-by-step explanation:
Add 50 + 19 + 24 = 93
(amount of men doing anything other than lifting) 93÷140= 0.664 (about 66%)
(amount of men lifting) 47÷140= 0.335 (about 33-34%)
So 33% out of 100% of men would lift.
Which expression is equivalent to
b^m/b^n?
Answer:
b^(m-n)
Step-by-step explanation:
Answer:b^m+n
Step-by-step explanation: