Answer:
184 in.^2
Step-by-step explanation:
The cross section through the center of a sphere is a circle whose radius is equal to the radius of the sphere.
area of circle
[tex]A_{circle} = \pi r^2[/tex]
[tex] \pi r^2 = 46 [/tex]
[tex] r^2 = \dfrac{46}{\pi} [/tex]
[tex] r = \sqrt{\dfrac{46}{\pi}} [/tex]
[tex] r = 3.83 ~in.[/tex]
surface area of sphere
[tex] SA = 4 \pi r^2 [/tex]
[tex] SA = 4 \times \pi \times (3.83)^2 [/tex]
[tex] SA = 184~in.^2 [/tex]
You want to put $4,000 in a simple interest account. It has a 2.5% annual interest rate. How long will it take you to earn $500 in interest?
2 years
5 years
50 years
3.125
Describe how to modify a Tiling diagram
During his career, Shaquille O'Neal attempted 22 three pointers. He made one of them. What is Shaq's 3-point percentage to the nearest tenth of a percent?
Jayvion took out a simple interest loan to pay for some new furniture. If the loan was for 5 years at 12% and he paid $960 interest, how much money did he borrow?
Answer:
$544.73
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Simple Interest Rate Formula: [tex]\displaystyle A = P(1 + r)^t[/tex]
A is final amountP is principle amountr is ratet is timeStep-by-step explanation:
Step 1: Define
A = 960
r = 0.12
t = 5
Step 2: Solve for P
Substitute in variables [Simple Interest Rate Formula]: [tex]\displaystyle 960 = P(1 + 0.12)^5[/tex][Interest] (Parenthesis) Add: [tex]\displaystyle 960 = P(1.12)^5[/tex][Interest] Evaluate exponents: [tex]\displaystyle 960 = P(1.76234)[/tex][Interest] [Division Property of Equality] Isolate P: [tex]\displaystyle 544.73 = P[/tex][Interest] Rewrite: [tex]\displaystyle P = 544.73[/tex]5·(y-3)=3/5 (x-8)·5 write the equation
Answer:
This is the answer
Step-by-step explanation:
You needed to multiple 5 to both sides
Maggie has half as many apple muffins as she does blueberry muffins. Let b represent the number of blueberry muffins Maggie has.
Create an expression to represent the number of apple muffins Maggie has. Move a number, a variable, and a symbol to the lines to create
the expression.
Answer: b/2
Step-by-step explanation:
From the question, we are informed that Maggie has half as many apple muffins as she does blueberry muffins where,
b = the number of blueberry muffins that Maggie has.
Therefore, an expression to represent the number of apple muffins Mmthat Maggie has will be:
= 1/2 × b.
= b/2
do (12 + 6) ÷ 2 and 12 + 6 ÷ 2 have the same answer? explain why. yall don't know the answer
Answer:
No
Step-by-step explanation:
Because the first problem has parenthesis that means you do what's in the parenthesis first but the second problem is just laid out so use PEMDAS.
So The 1st answer would be 9 and the 2nd 15.
Answer:
They do not have the same answer
Step-by-step explanation:
You have to use
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
(12+6) ÷ 2 12 + 6 ÷ 2
18 ÷ 2 12 + 3
9 15
Hope that helps
A total of 1,650 boxes of Girl Scout cookies were sold last week. Each large box cost $3.50 and each small box cost $2.00. The Girl Scout group
earned $4,650. How many large boxes and how many small boxes of cookies were sold?
Answer:
900 large boxes were sold, and 750 small boxes.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of large boxes of cookies sold.
y is the number of small boxes of cookies sold.
A total of 1,650 boxes of Girl Scout cookies were sold last week.
This means that
[tex]x + y = 1650[/tex]
So
[tex]x = 1650 - y[/tex]
Each large box cost $3.50 and each small box cost $2.00. The Girl Scout group earned $4,650.
This means that
[tex]3.5x + 2y = 4650[/tex]
Since [tex]x = 1650 - y[/tex]
[tex]3.5(1650 - y) + 2y = 4650[/tex]
[tex]5775 - 3.5y + 2y = 4650[/tex]
[tex]1.5y = 1125[/tex]
[tex]y = \frac{1125}{1.5}[/tex]
[tex]y = 750[/tex]
[tex]x = 1650 - y = 1650 - 750 = 900[/tex]
900 large boxes were sold, and 750 small boxes.
HELP please!!!!!!!!!!!
The amount a tree grows in one month is directly proportional to the amount of water it is given. When a tree is giving 21 gallons of water it grows 8 cm that month. What is the constant of proportionality for this variation? record your answer to the nearest thousand.
Answer:
k = 0.381cm/gallon
Step-by-step explanation:
Let the amount a tree grows in one month be x
Let amount of water it is given be y
If the amount a tree grows in one month is directly proportional to the amount of water it is given, then;
x ∝ y
x = ky
k is the constant of proportionality
k = x/y
Given
x = 8cm
y = 21 gallons
k = 8/21
k = 0.381cm/gallon
if angle COD equals 134 degrees, what is the size of reflex angle COD?
A: 46 degrees
B: 226 degrees
C: 314 degrees
D: 494 degrees
Answer:
A.
Step-by-step explanation:
To get to 180. You need to subtract 134 from 180:
180
134-
Which would give you 46.
I hope this is right.
ANSWER:the size of reflex angle is
C:314 degrees
can I have the answer and a quick explanation plz?
Given:
A figure of a right triangle.
To find:
The value of x.
Solution:
According to the geometric mean attitude theorem, if an altitude is drawn from the right angle vertex to the hypotenuse, then the altitude is the geometric mean of segments of hypotenuse.
Using geometric mean attitude theorem, we get
[tex]\dfrac{3}{x}=\dfrac{x}{5}[/tex]
[tex]3\times 5=x\times x[/tex]
[tex]15=x^2[/tex]
[tex]\pm \sqrt{15}=x[/tex]
But side cannot be negative. So,
[tex]\sqrt{15}=x[/tex]
Therefore, the value of x is [tex]\sqrt{15}[/tex].
PLEASE HELP!
A rectangular field is 62 meters long and 48 meters wide. Diane estimates the length of the field
to be 60 meters and the width to be 45 meters. What is the percent error of Diane's estimated
area measurement? Round your answer to the nearest whole percent.
Enter your answer in the space provided.
Answer:
9%
Step-by-step explanation:
Original area of the rectangle = length × width
= 62 × 48
= 2,976 m²
Diane area of the rectangle = length × width
= 60 × 45
= 2700 m²
Percent error = (original - estimated)/original × 100
= (2976 - 2700)/2976 × 100
= 276/2,976 × 100
= 0.0927419354838 × 100
= 9.2741935483870%
Approximately to the nearest whole percent = 9%
Select the rule for the sequence The rule for the sequence is? Find the unknown term. The unknown term is
A triangle has sides with lengths of 12 miles, 84 miles, and 85 miles. Is it a right triangle?
Answer:
[tex]\boxed {\boxed {\sf No}}[/tex]
Step-by-step explanation:
If a triangle is a right triangle, it can satisfy Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse.
12 and 84 are the legs because are they shortest. 85 is the hypotenuse because it is the longest side.
[tex]a= 12 \\b=84 \\c=85[/tex]
Substitute the values into the formula.
[tex](12)^2+(84)^2=(85)^2[/tex]
Solve the exponents.
12²= 12*12=14484²=84*84=7056 85²= 85*85=7225[tex]144+7056=7225[/tex]
Add on the right side.
[tex]7200\neq 7225[/tex]
7220 is not equal to 7225, so these sides cannot be a right triangle.
How do I Simplify 2/8
Answer:
1/4
Step-by-step explanation:
Divide 8 by 2
2/8 = 1/4
good luck, i hope this helps :)
Sam and Pam's pennies add up to 22. Same has 1 more penny than twice Pam's pennies. How many pennies do Sam and Pam have?
Answer:
pam has x = 7 pennies
sam has 2x + 1 = 14 + 1 = 15 pennies
Step-by-step explanation:
let's take the number of pennies that pam owns be x
sam's pennies = 2× ( pam's pennies ) + 1
=》2x + 1
if the total pennies owned by both = 22
then,
x + 2x +1 = 22
3x = 22 - 1
x = 21 ÷ 3
x = 7
so, pam has x = 7 pennies
sam has 2x + 1 = 14 + 1 = 15 pennies
Lawrence has $50.
He wants to buy some T-shirts that cost $12 each.
He also wants to have at least $10 left to buy lunch.
Which inequality shows the number of T-shirts, x, Lawrence can buy and still have at least $10 for lunch?
A.
x ≤ 3
B.
x ≥ 3
C.
x ≤ 4
D.
x ≥ 4
find the slope of the line
Answer:
-1
Step-by-step explanation:
it goes down 1 per gain of 1 on the x axis
Answer:
-1
rise over run -2/2
slope is -1
Step-by-step explanation:
which set of number are right for this inequality x<14 plz help me i need help due in 20 min
A. 3,7,9,10,12
B. 15, 18 ,20, 21, 23
C. 17, 21, 24, 25, 31
D. 23, 27, 29, 30, 36
Answer:
it's A because all of those numbers are less than 14
Step-by-step explanation:
Write down a multiple of 8 that is between 20 and 50.
Answer:
24, 32, 40, or 48
Step-by-step explanation:
Count by 8.
8
16
24
32
40
48
56
The multiple of 8 that is between 20 and 50 are 24, 32, 40 and 48.
A multiple in math are the numbers you get when you multiply a certain number by an integer.
Here, multiples of 8 with 50 are
8, 16, 24, 32, 40, 48
So, the multiple of 8 between 20 and 50 are 24, 32, 40 and 48
Therefore, the multiple of 8 that is between 20 and 50 are 24, 32, 40 and 48.
Learn more about multiples of a number here:
https://brainly.com/question/10520264.
#SPJ2
222222+999999what is this answer?
Answer:
888888
Step-by-step explanation:
Is the right answer
Answer:
1222221
Step-by-step explanation:
222222+999999
Start from the ones place, 2+9=11 (11)
Borrow 1, 2+9=11+1=12 (21)
Again, 2+9=11+1=12 (221)
Again, 2+9=11+1=12 (2221)
Again, 2+9=11+1=12 (22221)
And again, 2+9=11+1=12 (1222221)
Hope I helped! Good Luck!
State the domain and range of both the function and the inverse function. f(x) = 8 x + 8 f -1(x) = Domain of f(x): Range of f(x): Domain of f -1(x): Range of f -1(x)
Answer:
[tex]f^{-1}(x) = \frac{x+8}{8}[/tex]
Domain of f(x): All real values.
Range of f(x): All real values.
Domain of f -1(x): All real values.
Range of f -1(x): All real values
Step-by-step explanation:
We are given the following function:
[tex]f(x) = 8x + 8[/tex]
Since it is a line, we have that both the domain is the range is the real set.
Inverse function:
The domain of the inverse function is the range of the original function, and the range of the inverse function is the domain of the original function.
Finding the inverse function:
Exchange x and y in the original function, and isolate y. So
Original
[tex]y = 8x + 8[/tex]
Exchanging:
[tex]x = 8y - 8[/tex]
Isolating y:
[tex]8y = x + 8[/tex]
[tex]y = \frac{x+8}{8}[/tex]
[tex]f^{-1}(x) = \frac{x+8}{8}[/tex]
A bag contains 10 coloured balls. 5 of them are red and 3 of them are blue. A ball is taken from the bag at random, then replaced. A second ball is then selected at random. Find the probability that the first ball is red and the second ball is blue.
The probability that the first ball drawn is red and the second ball drawn is blue is 3/20.
The probability that the first ball drawn is red and the second ball drawn is blue, we need to multiply the probability of drawing a red ball on the first draw by the probability of drawing a blue ball on the second draw.
Given that there are 10 balls in total, with 5 red balls and 3 blue balls, the probability of drawing a red ball on the first draw is 5/10 = 1/2.
Since the ball is replaced after the first draw, the total number of balls remains the same for the second draw.
The probability of drawing a blue ball on the second draw is also 3/10.
To find the probability of both events occurring (the first ball being red and the second ball being blue), we multiply the probabilities:
Probability = (Probability of drawing a red ball) × (Probability of drawing a blue ball)
= (1/2) × (3/10)
= 3/20
For similar questions on probability
https://brainly.com/question/25839839
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What are the sine and cosine of 4pi/3?
Answer:
-0.479
Step-by-step explanation:
[tex]sin(cos(4 \frac{\pi}{3} ) = - sin( \frac{1}{2} ) = - 0.479[/tex]
Answer:
Answer is B : -1/2
Step-by-step explanation:
correct on edge
PLEASE ANSWER ASAP CORRECTLY FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
40,009.88
Step-by-step explanation:
The circumference of a circle can be found by multiplying pi ( π = 3.14 ) by the diameter of the circle.
were given the radius, r=6371
diameter = r x 2
6371 x 2 = 12742
12742 = diameter
12,742 x 3.14 = 40,009.88
Answer:
40,030.173592041 km
Step-by-step explanation:
circumference of a circle = 2πr
=2 × π × r
=2 × π × (6371)
=40,030.173592041
Let y = 5e5z
A. Find the differential dy
25e53
dy
B. Use part A. to find dy when x = - 3 and dir = 0.4.
Round your answer to 2 decimal(s).
dy =
Submit Question
Answer:
[tex]\displaystyle dy = 25e^{5x}dx\\dy = 3.27 \cdot 10^7[/tex]
General Formulas and Concepts:
Math
RoundingEuler's Number e - 2.71828Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightCalculus
Derivatives
Derivative Notation
Differentials
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹eˣ Derivative: [tex]\displaystyle \frac{dy}{dx}[e^u] = u'e^u[/tex]
Step-by-step explanation:
Part A
Step 1: Define
[tex]\displaystyle y = 5e^{5x}[/tex]
Step 2: Differentiate
[Function] eˣ Derivative: [tex]\displaystyle \frac{dy}{dx} = \frac{dy}{dx}[5x] \cdot 5e^{5x}[/tex][Derivative] Basic Power Rule: [tex]\displaystyle \frac{dy}{dx} = 5x^{1 - 1} \cdot 5e^{5x}[/tex][Derivative] Simplify: [tex]\displaystyle \frac{dy}{dx} = 5 \cdot 5e^{5x}[/tex][Derivative] Multiply: [tex]\displaystyle \frac{dy}{dx} = 25e^{5x}[/tex][Derivative] [Multiplication Property of Equality] Isolate dy: [tex]\displaystyle dy = 25e^{5x}dx[/tex]Part B
Step 1: Define
[Differential] [tex]\displaystyle dy = 25e^{5x}dx[/tex]
[Given] x = 3, dx = 0.4
Step 2: Evaluate
Substitute in variables [Differential]: [tex]\displaystyle dy = 25e^{5(3)}(0.4)[/tex][Differential] [Exponents] Multiply: [tex]\displaystyle dy = 25e^{15}(0.4)[/tex][Differential] Evaluate exponents: [tex]\displaystyle dy = 25(3.26902 \cdot 10^6)(0.4)[/tex][Differential] Multiply: [tex]\displaystyle dy = (8.17254 \cdot 10^7)(0.4)[/tex][Differential] Multiply: [tex]\displaystyle dy = 3.26902 \cdot 10^7[/tex][Differential] Round: [tex]\displaystyle dy = 3.27 \cdot 10^7[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Differentials
Book: College Calculus 10e
hi I need help with my math
Step-by-step explanation:
heyy, what math do u need help with I can probably help
Answer:
bestie whats the question
the temperature fell 16 degrees fahrenheit from 50 to 34 degrees in 10 hours. How much would the temperature fall over 15 hours if the pattern continued?
Answer:
[tex]x = 24\ degrees[/tex]
Step-by-step explanation:
Given
16 degrees = 10 hours
Required
Determine the change over 16 hours
Let the change be represented with x,
So, we have:
16 degrees = 10 hours
x = 15 hours
Cross Multiply:
[tex]x * 10\ hours = 16\ degrees * 15\ hours[/tex]
[tex]x * 10 = 16\ degrees * 15[/tex]
Divide through by 10
[tex]x = \frac{16\ degrees * 15}{10}[/tex]
[tex]x = 16\ degrees * 1.5[/tex]
[tex]x = 24\ degrees[/tex]
A stainless steel patio heater is a square pyramid. The length of one side of the base is 23.6. in. The slant height of the pyramid is 90.9. in. What is the height of the pyramid?
Answer:
Step-by-step explanation:
The height of the heater is about 89.3 in.
You can solve this problem with the Pythagorean Theorem. The base is a square. So half way across the middle will the right under the tip of the pyramid. We can use the measurement with the slant height to write and solve the equation below.
23.8^2 + x^2 = 90.1^2
x will be about 89.3.
Mark brainliest please if the answer is correct
