The expression equivalent to 5(3a+4b) is option (B) 15a+20b
What is Distributive property?In mathematics, the distributive property of binary operations generalizes the distributive law, which asserts that the equality is always true in elementary algebra.
Given,
5(3a+4b)
Apply distributive property
5(3a+4b) = 15a + 20b
Hence, the expression equivalent to 5(3a+4b) is option (B) 15a+20b
Learn more about Distributive property here
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please help i have more questions btw
Answer:
B [tex]1/4^2[/tex] and A [tex]4^1/4^3[/tex]
Step-by-step explanation:
A bag contains tiles number 1-10. What is the probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3?
Answer:
0.12 = 12% probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of independent events:
Suppose we have two events, A and B, that are independent. The probability of both happening is given by:
[tex]P(A \cap B) = P(A) \times P(B)[/tex]
In this question:
Event A: Selecting a prime number.
Event B: Selecting a number less than or equal to 3
Probability of selecting a prime number:
Between 1 and 10, we have 4 prime numbers(2,3, 5 and 7), out of 10. So
[tex]P(A) = \frac{4}{10}[/tex]
Probability of selecting a number less than or equal to 3:
Three numbers(1,2,3) out of 10. So
[tex]P(B) = \frac{3}{10}[/tex]
Probability of both:
[tex]P(A \cap B) = P(A) \times P(B) = \frac{4}{10} \times \frac{3}{10} = \frac{12}{100} = 0.12[/tex]
0.12 = 12% probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3
what is the formula for finding the measure of each interior angle of a regular polygon
50pts!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
180(n - 2)
-------------
n
Step-by-step explanation:
How many kilometers are in 3 centimeters?
Answer:
0.00003km
....................
kilo means 1000
and centi means 1/100
Answer the question quickly please 3y=24
Answer:
y = 8
Step-by-step explanation:
3y = 24
3y ÷ 3 = 24 ÷ 3
y = 8
Insta: 25k_kemAnna has fabric that is 1/4 yard long. She needs to cut the fabric into pieces that are 1/8 yard long. How many 1/8 yard long pieces will she have
Answer:
2
Step-by-step explanation:
1/4= .25
1/8= .125
so 1/4÷ 1/8=2
Which expression is equivalent to-6(-2/3+2x)
A.-4-12x
B.- 4+2x
C. 4-12x
D. 4 + 12x
Answer:
4-12x
Step-by-step explanation:
-6(-2/3 + 2x)
Expand the bracket
12/3 - 12x
4 - 12x
Answer:
The Answer is C
The people who live in chicago form a subset of those who rent apartments in chicago
Write a rule for the sequence. 1/9, 1/3, 5/9 Pls hurry Pls S's S's Sissies S's See fast
On weekday mornings, it takes Leo 12 minutes to bike 2 miles to his school. This Saturday, Leo will bike to the park to meet his friends. The park is 5 miles away from Leo's house.
Answer:
30 minutes to the park
Step-by-step explanation:
12/2 = 6 min per mile
6 x 5 = 30 mins for 5 miles
What is 4^0 in exponential form?
What is the first step in solving this equation: 2(x+4)=10?
Answer:
remove the parentheses
Step-by-step explanation:
2(x + 4)=10
2x + 4 = 10
2x = 6
x = 3
please help me with this question
Answer
777
Step-by-step explanation:
jnimimimimimim000
Answer: 777
Hope this helps!!
Sorry if it's not correct!!
APPLICATION
3. Use the first principle of derivatives to determine the equation of tangent to the
curve y = 1/radical7x at
x = 5
Answer:
[tex]\displaystyle y - \frac{\sqrt{35}}{35} = \frac{-\sqrt{35}}{350}(x - 5)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Coordinates (x, y)
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinatey₁ - y coordinatem - slopeAlgebra II
Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Calculus
Derivatives
The definition of a derivative is the slope of the tangent line.Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Chain Rule: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = \frac{1}{\sqrt{7x}} \\x = 5[/tex]
Step 2: Differentiate
[Function] Rewrite: [tex]\displaystyle y = \frac{1}{(7x)^\frac{1}{2}}[/tex][Function] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y = (7x)^{-\frac{1}{2}}[/tex][Derivative] Chain Rule [Function]: [tex]\displaystyle y' = \frac{-1}{2}(7x)^{-\frac{1}{2} - 1} \cdot \frac{d}{dx}[7x][/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{-1}{2}(7x)^{-\frac{3}{2}} \cdot \frac{d}{dx}[7x][/tex][Derivative] Basic Power Rule: [tex]\displaystyle y' = \frac{-1}{2}(7x)^{-\frac{3}{2}} \cdot 1 \cdot 7x^{1 - 1}[/tex][Derivative] Simplify: [tex]\displaystyle y' = \frac{-7}{2}(7x)^{-\frac{3}{2}}[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y' = \frac{-7}{2(7x)^{\frac{3}{2}}}[/tex]Step 3: Find Slope of Tangent Line
Substitute in x [Derivative]: [tex]\displaystyle y'(5) = \frac{-7}{2[7(5)]^{\frac{3}{2}}}[/tex][Tangent Slope] [Brackets] Multiply: [tex]\displaystyle y'(5) = \frac{-7}{2[35]^{\frac{3}{2}}}[/tex][Tangent Slope] Evaluate exponents: [tex]\displaystyle y'(5) = \frac{-7}{2(35\sqrt{35})}[/tex][Tangent Slope] Multiply: [tex]\displaystyle y'(5) = \frac{-7}{70\sqrt{35}}[/tex][Tangent Slope] Simplify: [tex]\displaystyle y'(5) = \frac{-1}{10\sqrt{35}}[/tex][Tangent Slope] Rationalize: [tex]\displaystyle y'(5) = \frac{-\sqrt{35}}{350}[/tex]Step 4: Find Tangent Line Equation
Point (x, y)
Substitute in x [Function]: [tex]\displaystyle y(5) = \frac{1}{\sqrt{7(5)}}[/tex][Function] [√Radical] Multiply: [tex]\displaystyle y(5) = \frac{1}{\sqrt{35}}[/tex][Function] Rationalize: [tex]\displaystyle y(5) = \frac{\sqrt{35}}{35}[/tex]Define point: [tex]\displaystyle (5, \frac{\sqrt{35}}{35})[/tex]Equation
Substitute in variables [Point-Slope Form]: [tex]\displaystyle y - \frac{\sqrt{35}}{35} = \frac{-\sqrt{35}}{350}(x - 5)[/tex]Topic: AP Calculus AB/BC
Unit: Derivatives
Book: College Calculus 10e
how to find X in a parallelogram
Answer:
X=7
Step-by-step explanation:
15-8
Here is my house number on Brookview Way. I hope to see you on
Valentine's Day!
CAN SOMEONE HELP ME
Answer:
54318
Step-by-step explanation:
my teacher told me the numbers are 54,3 and 18
Answer:
dont tell people where you live
Step-by-step explanation:
I need help with 1 through 10
Answer:
1) yes
2) no
3) no
4) no
5) yes
6) yes
7) yes
8) yes
9) circle equation - B
10) circle equation - D
11) 12 people in each team
sorry im not able to answer for 12 , 13 and 14 i have urgent work im so sorry
yea um help a girlie out
Answer:
U (-10,-7)
V ( -10,-1)
w (-1, -9)
Step-by-step explanation:
So you are lucky I just did this unit lol so i got the answer
When doing any rotation around the origin, only one number changes integers if it is 90 degrees, in this case rotating 90 degrees will cross the y axis.
This means the y value will remain the same but the integer for the x values will switch.
So the new values are:
U (-10,-7)
V ( -10,-1)
w (-1, -9)
i hope this helps!
pls give thx and brainliest. ;)
Please help me with this please!!
Answer:
D
Step-by-step explanation:
Find two numbers whose sum is 44 and whose difference is 6.
smaller number
larger number
PLEASE HELP ASAP!!
How many lines of symmetry are there in the object pictured above
A. 3
B. 1
C. 0
D. 2
17-(8 to the power of 3 - 45) times 7 times 2 - 1324
Answer:
-7845
Step-by-step explanation:
17-(8 to the power of 3-45) times 7 times 2 -1324=-7845
4
Which equation will solve the following word problem? Sue's class has 50 students. 20% of the students are in art class. How many students are NOT in art class?
Will give brainliest for correct answer
a)50/(50 * 0.20) = x
b)50 + (50 * 0.20) = x
c)50 - (50/0.20) = x
d)50 - (50 * 0.20) = x
Answer:
OK thanks
Step-by-step explanation:
The water is shallow but I have a short tour in your head with a bit of
Answer: Letter D
Step-by-step explanation:
Express (81^1/4)^3
in simplest radical form.
i need helpppppppp ??ASAP
Answer:
60.32
Step-by-step explanation:
Si Mark ay nakagawa ng 84 na pirasong cookies. Kung ang mga ito ay kaniyang isisilid sa 7 maliliit na kahon. Ilang
pirasong cookies ang laman ng isang maliit na kahon?
1. lláng cookies ang nagawa ni Mark?
2. Ilang maliliit na kahon ang lalagyan ni Mark?
3. Isulat ang division equation:
4. Isulat ang multiplication sentence.
5. Ilang pirasong cookies ang laman ng isang maliit na kahon?
Quentin can read 18 pages of a book in 2 hours. How many pages can he read in 10 hours? PLEASE HELP ASAP FOR 17 POINTS!
Answer:
90 pages in 10 hours :)
Answer:
90 pages
Step-by-step explanation:
First, you need to find the unit rate of how many pages he can read.
So, you divide 18 pages by 2 hours = 9 pages per hour.
Then, you multiply 9*10 hours to find out how many pages he will read in 10 hours.
You get 90.
Solve 4 + 1/5r = -1. Single choice.
answer choices:
r=25
r=-25
r=-15
Answer:
-15
Step-by-step explanation:
imma pro
Answer: r = - 25
Step-by-step explanation:
is 15.09 less than 12.63
Answer: No
15.09 is greater than 12.63
Explain 5 different ways you use Math in your everyday life.
Answer:
Buying Groceries, paying for a house, maybe in your job, doing schoolwork of course, and counting money.
Step-by-step explanation:
Answer:
1. you use it to calculate time (managing your day)
2. you use it while driving (use in angles and degrees)
3. you use it while drawing (again, use in angles and degrees)
4. you use it while cooking
5. you use it while banking (financial help)
Step-by-step explanation:
hope this helps:) please mark brainliest