Answer:
48x + 96
Step-by-step explanation:
Given expression: 12(4x + 8)
Using the Distributive Property, we can simplify the given expression.
Distributive Property: [tex]a(b + c) = ab + ac[/tex]
Simplify:
[tex]\implies 12(4x+8)\\\\\implies 12(4x) + 12(8)\\\\\implies 48x + 96[/tex]
The expression that is equivalent to 12(4x + 8) is [tex]48x + 96[/tex].
please help me with this question
Answer:
[tex] \sqrt{8 + y} [/tex]
9 ft. 15 ft The volume of the figure is cubic feet. 15 ft. 15 ft
Answer:
4,050 cubic feet
Step-by-step explanation:
The figure is made up of a square pyramid and cube
Therefore:
Volume of the figure = volume of the square pyramid + volume of the cube
✔️Volume of the square pyramid = ⅓*a²h
a = 15 ft
h = 9 ft
Volume of square pyramid = ⅓*15²*9 = 675 ft³
✔️Volume of the cube = s³
s = 15 ft
Volume of the cube = 15³ = 3,375 ft³
✔️Volume of the figure = 675 + 3,375 = 4,050 cubic feet
there are 120 children standing in a line,every third gets a rubber, every fourth child gets ruler and every fifth gets a book. in what position is the first child that gets all 3 items?
Answer:
60th position is the first child that gets all 3 items
Step-by-step explanation:
Find the LCM of 3 , 5 and 4.
Least common multiple of 3 , 4 and 5 = 3 * 4 * 5 = 60
Answer:
3,6,9,12,
4,8,12,16,
5,10,15,
in 60th position
60is the first number that can be divided by 60/3=20 60/4=15 60/5=12
In which number is the value of the 7 in the number 1.273
The hundredths place
the 2 would be tenths, 1 is hundredths, and the 3 is thousandths
Please help I need help
Answer:
3
Step-by-step explanation:
just get everything but the h to the other side
divide by b1 + b2
1/2h = A/b1 + b2
then multiply by 2
h = 2A/b1 + b2
plz help me
..................
Answer:
Step-by-step explanation:
When Reena subtracted 9 from thrice a number, the result was 15. Then the number is
-7
8
-3
-8
Answer:
8
Step-by-step explanation:
Thrice means the same as 3, so 3 × 8 = 24 and when 9 is subtracted from 24 it is equal to 15
Answer:
Step-by-step explanation:
let the number be x
3x-9=15
3x=15+9 add 9 from both sides
3x=24
x=8
Please help! I don’t get this! No links please
Answer:
66
Step-by-step explanation:
V=πr2h
3=π·32·7
3≈65.97345
solve for x in the diagram below
the aos of x=2?????????
find the integral of 1\1+(2x)^2
Answer:
[tex]\displaystyle \int {\frac{1}{1+(2x)^2}} \, dx = \frac{artan(2x)}{2} + C[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityCalculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Antiderivatives - Integrals
Indefinite Integrals
Integral Constant CU-Substitution
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Arctrig Integration [arctangent]: [tex]\displaystyle \int {\frac{1}{a^2 + u^2}} \, du = \frac{1}{a}arctan(\frac{u}{a}) + C[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int {\frac{1}{1+(2x)^2}} \, dx[/tex]
Step 2: Integrate Pt. 1
[Integral] Rewrite: [tex]\displaystyle \int {\frac{1}{1^2+(2x)^2}} \, dx[/tex]Step 3: Identify Variables
Identify variables for u-substitution of arctrig.
Set u: [tex]\displaystyle u = 2x[/tex]Differentiate [Basic Power Rule]: [tex]\displaystyle \frac{du}{dx} = 1 \cdot 2x^{1 - 1}[/tex][Derivative] Simplify: [tex]\displaystyle \frac{du}{dx} = 2[/tex][Derivative] Rewrite: [tex]\displaystyle du = 2dx[/tex]Set a: [tex]\displaystyle a = 1[/tex]Step 4: Integrate Pt. 2
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \frac{1}{2}\int {\frac{2}{1^2+(2x)^2}} \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle \frac{1}{2}\int {\frac{du}{a +u^2}}[/tex][Integral] Arctrig Integration [arctangent]: [tex]\displaystyle \frac{1}{2}[\frac{1}{a}arctan(\frac{u}{a})] + C[/tex][Integral] Back-Substitute: [tex]\displaystyle \frac{1}{2}[\frac{1}{1}arctan(\frac{2x}{1})] + C[/tex][Integral] Divide: [tex]\displaystyle \frac{1}{2}[arctan(2x)] + C[/tex][Integral] Multiply: [tex]\displaystyle \frac{arctan(2x)}{2} + C[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration of Arctrig
Book: College Calculus 10e
Which of the following rational functions is graphed below?
D. F(x)=(x-1)/x(x-3) Just took the test
Helps please is for now
Answer: do ur test ur self
Step-by-step explanation:
40°
50°
Х
x = __ degrees
Step-by-step explanation:
you just do 180 - 90 = 90 degree is x value
Answer:
x should equal 90.
Step-by-step explanation:
x is the sum of those two interior angles. 50 + 40 equals 90.
Problem
Evaluate 6 + x when x = 3
Answer:
9
Step-by-step explanation:
6+x x=3
6+3=9
Caroline saves money in an arithmetic sequence: $350 the first year, another $550
the second, and so on. How much money does she save after 31 years?
Find the measure of angle B in triangle ABC below.Explain
Answer:
B ≈ 76°
Step-by-step explanation:
∆ABC is a right triangle
Reference angle = B
AC = 8 units = Opposite
BC = 4 units = Adjacent
Thus, apply TOA:
Tan B = Opp/Adj
Tan B = 8/2
Tan B = 4
B = Tan^{-1}(4)
B ≈ 76°
A salesperson earns a 5% commission for each sale they make. How much will the salesperson make from a sale of $700?
Any help would be appreciated, No links please. Thank you
Answer:
C
Step-by-step explanation:
I already did this. ;)
factor the trinomial below. x^2 - 14x + 45
A. (x-5)(x+9)
B. (x-5)(x-9)
C. (x-3)(x+15)
D. (x-3)(x-15)
Answer:
B
Step-by-step explanation:
factors of 45 that when u multiply give u 45 when u add give u -14
Answer:
B, (x - 5)(x - 9)
Step-by-step explanation:
x^2 - 14x + 45
= (x - 5)(x - 9)
Write the polynomial as a product of a difference and a sum: b^2-4/9
Answer:
[tex] \sf \huge \boxed{ \boxed{(b + \frac{2}{3} )(b - \frac{2}{3} )}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:algebraPEMDAStips and formulas:[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]let's solve:[tex] \sf \: rewrite : \\ ( {b})^{2} - ( \frac{2}{3} {)}^{2} [/tex][tex] \sf use \: the \: formula : \\ (b + \frac{2}{3} )(b - \frac{2}{3} )[/tex]Answer:
Solution given:
[tex]b^{2} -\frac{4}{9}[/tex]=[tex]b^{2} -\frac{2^2}{3^2}=b^2 -(\frac{2}{3})^2[/tex]
it is in the form of x²-y²=(x+y)(x-y)
so
[tex]b^2 -(\frac{2}{3})^2=(b+\frac{2}{3})(b-\frac{2}{3})[/tex] is A required polynomial.
Step-by-step explanation:
help me with this please
Number 11,12,13,14,15,16,17,18,19,20
Answer:
13 )c
16) c
17) a
18 )d
20) 9x^2 +12
number 20. the answer is not in the option
Find the length of the hypotenuse in the triangle
Answer:
it's 9.5 ft.............................
PLEASE I need help with this math problem please
Answer:
68 in³
Step-by-step explanation:
Cylinder = 3x2x2x3=36
Sphere = 4/3x3x2x2x2=32
36+32=68
Multiply 1/10x17/18 pls help I'll give u brainlest
Calculate :
[tex] \frac{1}{10} \times \frac{17}{18} = \frac{1 \times 17}{10 \times 18} = \frac{17}{180} [/tex]
Answer:
17/180
Step-by-step explanation:
You multiply both of the tops together and both of the bottoms together.
1 x 17 = 17
over
10 x 18 = 180
Hope this helps :D
Porcentajes
•Halla los siguientes porcentajes.
•
•a) 15% de 300, b) 25% de 8,000, c) 50% de 7,500,
•
•d) 45% de 1000, e) 30% de 3,600, f) 25% de 5,500
Answer:
A: 45
B: 200
C: 3750
D: 450
E: 1080
F: 1375
Step-by-step explanation:
Find the area of a rectangle that is 17 3/8 in. By 4 1/9 in.
Answer:
71 31/72 in
Step-by-step explanation:
multiply the length and width for the formula. :)
1. A prospective buyer of a new car can choose between manual or automatic transmission and can also choose from
Step-by-step explanation:
you want to
come on
zoom
with
me
Convert: 112 meters =______________________
centimeters
Answer: m cm
112.00 11,200
Step-by-step explanation:
What is the value of x in simplest radical form?
Answer:
x = 85
Step-by-step explanation:
Because this is a right triangle, we can use the Pythagorean Theorem:
a² + b² = c²
Where c is the hypotenuse, or the longest side. This is opposite to the right angle of the right triangle. So now you have:
84² + 13² = x²
7056 + 169 = x²
7225 = x²
√7225 = √x²
85 = x
x = 85
