Answer:
[tex]2^{2}[/tex] + [tex](2\sqrt{3}) ^{2}[/tex] = 4 + 4 * 3 = 16 = [tex]4^{2}[/tex]
Step-by-step explanation:
The Pythagorean Theorem states that the two shorter sides of a right triangle squared and added together will equal the longest side (hypotenuse) of the right triangle squared. The longest side of this right triangle is 4, 4 squared is 16. The two shorter sides of the right triangle are 2 and [tex]2\sqrt{3}[/tex], squared individually would be 4 and 12, and added together they also equal 16. These sides are a valid input for the Pythagorean Theorem, so these three sides are the sides of a right triangle. 2 and [tex]2\sqrt{3}[/tex] being the legs of the right triangle, and 4 being the hypotenuse.
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
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:
Ella went to Crafting World Plus to buy fabric. She is trying to decide between polka-dot
fabric and striped fabric. It costs $15 to buy 4 yards of the polka-dot fabric.
)) This equation describes the cost of the striped fabric, where y represents the cost in
dollars and x represents the amount of fabric in yards:
y = 2.55x
)) Which type of fabric is cheaper?
the striped fabric
the polka-dot fabric
)) How much cheaper is that fabric?
cheaper per yard
Which describes a non-uniform probability model?
A) heads or tails from a coin flip
B) the sum result of rolling two dice
C) selecting a ball from 3 red balls and 3 green balls
D) the chance of 1,2,3,4,5 or 6 from rolling a die
Convert the expression (√5)(∛5) to exponential form. Show your work.
Answer:
[tex] {5}^{ \frac{5}{6}}[/tex]
Step-by-step explanation:
[tex]( \sqrt{5} )( \sqrt[3]{5}) \\ \\ = ({5}^{ \frac{1}{2} } ).({5}^{ \frac{1}{3} } ) \\ \\ = {5}^{ \frac{1}{2} + \frac{1}{3} } \\ \\ = {5}^{ \frac{3 + 2}{2 \times 3}} \\ \\ \huge \red{ \boxed{ = {5}^{ \frac{5}{6}} }}[/tex]
the area of a certain desert is nine times the area of another desert. if the sum of their areas is 30,000,000 sq miles. find the area of each.
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
You are going to Wal-Mart to buy DVD's. The DVD'sare packaged in a box. There are thirty five DVDs in the box. You only want five. The box cost forty-five dollars. How much did you pay? How much change do you get back if you pay with fifty dollars? Explain the order of operations that was used.
Answer:
574.94
Step-by-step explanation:
walmart
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.
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
need help with geometry
Answer:
20 degrees, 50 degrees, 80 degrees, 75 degrees, 60 degrees
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 many kilometers are in 3 centimeters?
Answer:
0.00003km
....................
kilo means 1000
and centi means 1/100
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:
1. If AABD - AHGE and AC and HF are angle
bisectors, find x.
B
G
F
24
. م
X
35
E
14
H
Answer:
9.6
Step-by-step explanation:
Find the diagram attached. Using the similarity theorem of triangles
AC/AD = FH/EH
Given
AC = 24
AD = 35
FH = x
EH = 14
Substitute into the formula
24/35 = x/14
Cross multiply
35×x = 24×14
35x = 336
x = 336/35
x = 9.6
Hence the value of x is 9.6
how to find X in a parallelogram
Answer:
X=7
Step-by-step explanation:
15-8
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
Please help me with this please!!
Answer:
D
Step-by-step explanation:
What is 4^0 in exponential form?
is 15.09 less than 12.63
Answer: No
15.09 is greater than 12.63
Write a rule for the sequence. 1/9, 1/3, 5/9 Pls hurry Pls S's S's Sissies S's See fast
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:
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
12)
Data is collected on the amounts paid to several yard cutting services. The mean of the data is $65 per yard, and the median of the
data is $60. After comparing the mean to the median, which statement BEST describes the data?
A)
The data contains no outliers.
B)
No conclusion can be made about outliers.
The outliers of the data are extremely low rates.
D)
The outliers of the data are extremely high rates.
13)
25
28
30
32
41
45
Answer:
I believe it is B or C
Step-by-step explanation: sorry if wrong...
please help me with this question
Answer
777
Step-by-step explanation:
jnimimimimimim000
Answer: 777
Hope this helps!!
Sorry if it's not correct!!
One number exceeds another by 8. The sum of the numbers is 46. What are the numbers?
[tex]x + x +8 = 46 \\ 2x = 46 - 8 \\ x = 48 \div 2 \\ x = 24[/tex]
can you please tell me a detailed explanation to solve this:
logx=3log2+2log3
A certain standardized tests math scores have a bell-shaped distribution with a mean of 530 and a standard deviation of 105. Complete part (a) through (c). (a) what percentage of standardized test scores is between 215 and 845. (b) what percentage of standardized test scores is less than 215 or greater than 845. (c) what percentage of standardized test scores is greater than 740.
A Arrange the following integers in ascending order
1) 37, 41, 76, -2.25 -25
Answer:
ASCENDING ORDER
76,41,36,25,-2,-25
Answer:
1234567891011121314151617181920
Find two numbers whose sum is 44 and whose difference is 6.
smaller number
larger number