Answer: 16%
Step-by-step explanation:
168.2 - 145 = 23.2
23.2/145 = 0.16
0.16 as a percent is 16%
The percentage change of the height is A = 16 %
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Christian's height increased by
168.2 - 145 = 23.2 cm
To find the percentage increase, we need to divide the increase by the original height and then multiply by 100:
Percentage increase = (23.2 / 145) x 100%
Percentage increase = 0.16 x 100%
Percentage increase = 16%
Hence , Christian's height increased by 16%
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Mention Two properties of magnets Pls tell me fastttt I want to write
Help pls I’ll give brainliest pls dont answer if you don’t know
Answer:
What are some awnsers :^
Find the area of the following figure:
[tex]2688[/tex]
Step-by-step explanation:1) Simplify 2 × 8 to 16.
[tex]16 \times 12 \times 14[/tex]
2) Simplify 12 × 16 to 192.
[tex]192 \times 14[/tex]
3) Simplify.
[tex]2688[/tex]
So, therefor, the answer is, 2688.
Given:
B=7 -3
5 -1
C=1 -1
13 -5
-=[=] -- [:s =]
Solve the equation:
2X + B = C
X=
Answer:
the question is incorrectly written. please rewrite the question.
(02.02)Peter paid $79.80 for renting a tricycle for 6 hours. What was the rate per hour for renting the tricycle? (Input only numeric values and decimal point, and report prices to two decimal places, such as 12.30.) $______ per hour. I NEED HELP FAST!!
13.3 is the rate boom
The sum of the digits of
a two-digit number is 10. If the digits are reversed, the number is increased by 36. What is the original number?
Answer:
37
Step-by-step explanation:
3 + 7 = 10
73 - 37 = 36
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.
Solve the system by substitution. y = 6x – 20
y = -4x
Answer:
(2, -8)
Step-by-step explanation:
y=6x-20
y=-4x
since the bottom equation shows us that y=-4x, we can substitute 4x in place of y in the first equation and solve:
-4x=6x-20
-10x=-20
x=2
since the bottom equation shows y=-4x, and we already know that x=2:
y=-4(2)
y=-8
(2, -8)
breh so listen up
Why do girls, when starting a convo start with- "hey" usually
I mean I don't mind, but then when you try to bring spark they seem hella dry.
Example:
Girl - "Hey"
Boy - "Hey what's good?"
Girl - "Nm you?"
Boy - Pretty lit, when out with my boys recently. You go out places"
Girl - "eh id.k"
Boy *t.f? What she mean id.k....
Boy - "That's cool Quarentine sh.it anyway, you do anything to kill the time doe?"
Girl - "id.k"
Girls Message left on Read
No cap, I end it right there. If you dry, don't waste time. Lol who goes through this?
Stop starting them convos if you aint bout that game bro.
Answer:
either she's nervous and doesn't know how to talk or she's mad at you. i would say she doesn't like u but she started the convo
A simple random sample of 8 reaction times of NASCAR drivers is selected. The reaction times have a normal distribution. The sample mean is 1.24
sec with a standard deviation of 0.12 sec. Construct a 99% confidence interval for the population standard deviation
Answer:
99% confidence interval is 0.07 < σ < 0.32
Step-by-step explanation:
Given that;
standard deviation s = 0.12 sec
s² = 0.12² = 0.0144
degree of freedom DF = n - 1 = 8 - 1 = 7
99% confidence interval
∝ = 1 - 99% = 1 - 0.99 = 0.01
now, we find x² critical values for ∝/2 = 0.005 and 1 - ∝/2 = ( 1 - 0.005) = 0.995, df = 7
The Lower critical value [tex]X^{2}_{\frac{\alpha }{2}},7[/tex] = 20.2777
The Upper critical value [tex]X^{2}_{1-{\frac{\alpha }{2}},7[/tex] = 0.9893
Now, confidence interval is given by
√[ ( (n-1)×s² ) / ( [tex]X^{2}_{\frac{\alpha }{2}},7[/tex] ) ] < σ < √[ ( (n-1)×s² ) / ( [tex]X^{2}_{1-{\frac{\alpha }{2}},7[/tex] ) ]
so we substitute
√[ ( 7×0.0144 ) / ( 20.2777 ) ] < σ < √[ ( 7×0.0144 ) / ( 0.9893 ) ]
√[ ( 7×0.0144 ) / ( 20.2777 ) ] < σ < √[ ( 7×0.0144 ) / ( 0.9893 ) ]
√0.0049711 < σ < √0.10189
0.0705 < σ < 0.3192
Rounding to the nearest 2 decimal places
0.07 < σ < 0.32
Therefore; 99% confidence interval is 0.07 < σ < 0.32
Can someone help me with this? I literally cant think today. ;-; Thanks if you answer it correctly. ಥ‿ಥ
Answer:
The slope is 300
Step-by-step explanation:
Rise over run we see two points how many times do we rise and run to get there?
(Slope= rise/run)
So you rise 300 times (Since half of 600 is 300) then you run 1 time which is 300/1 which is 300
Aiden is eating from the box of cereal
shown. Find the total surface area of the box.
cereal
13.5 in.
2.5 in.
8 in.
Total surface area?
Answer:
323.5 square inches
Step-by-step explanation:
The cereal box is not shown. However, the given details are enough to arrive at a solution
[tex]Length = 13.5in[/tex]
[tex]Width = 2.5in[/tex]
[tex]Height = 8in[/tex]
Required
The total surface area (TSA)
This is calculated as:
[tex]TSA = 2 * (Length * Width + Length * Height + Width * Height)[/tex]
[tex]TSA = 2 * (13.5 * 2.5 + 13.5 * 8 + 2.5 * 8)[/tex]
[tex]TSA = 2 * (161.75)[/tex]
[tex]TSA = 323.5[/tex]
Hence, the total surface area is 323.5 square inches
condition (0°≤A≤360°)
sin5A+sin3A=cos2A-cos6A
Answer:
sin5A+sin3A=cos2A-cos6A
2SIN((5A+3A)/2)COS ((5A-3A)/2)=2SIN((2A+6A)/2)SIN((2A-6A)/2)
[tex] \frac{2 \sin(4a )cosa}{ - 2 \sin(4a) \sin(2a) } = 1[/tex]
[tex] - \frac{ \cos(a) }{2 \sin(a) \cos(a ) } = 1[/tex]
-1/2sinA=1
-1/2=sinA
sinA=sin(180+30),sin(330)
:.A=210,330
John and Adam are selling candy. John sells 6 pieces of candy for $10. Adam sells 13 pieces of candy for $20. Whose candy costs less?
Answer:
John sells candy at the lowest price.
Step-by-step explanation:
If John sells 6 candies at 10$, then that's what's called a ratio between the price and the candy. We can double the amount of candy and the price to $20 for each 12 candies, $30 for 24, $40 for 36, etc. But it would still maintain the ratio of 6 candies for each 10$. Adam however, sells candy at 13 pieces for $20. We can divide the ratio down to 6.5 candies for 10$. But since we "can't" split a candy in half, we'll round it to 7 pieces for 10$, which costs more than 6 for 10$: Therefore, John sells candy at the lower price.
Select the rule for the sequence The rule for the sequence is? Find the unknown term. The unknown term is
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:
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.
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For which value of x must the expression V59X be further simplified?
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%
Write the expression 16x + 28 as a product using the GCF(greatest common factor) as one of the factors
16x + 28 = ?(?x?)
Answer:
Ik this is late but the answer is 4(4x + 7)
Step-by-step explanation:
The expression by using the greatest common factor is 4(4x + 7).
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 16x + 28. The expression by using the greatest common factor is calculated as,
E = 16x + 28
E = 4(4x + 7)
Therefore, the expression using the greatest common factor is 4(4x + 7).
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HELPPPPP WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
slope, m=Δ y/ Δx or m= y₂-y₁/(x₂-x₁)
m=9-(-14)/(6-4)=23/2=11.5
Describe the slope of the line.
-2
2
х
+2+(2, -3)
(-2, -3)
The slope is
Find the slope.
Answer: the slope is 0 if you are talking about what is the slope of 2,-3 and -2,-3 because that’s what is in the picture
Step-by-step explanation: slope is the y values over the x values
Does set of numbers \ 7,16,18\ ) form a Pythagorean triple? Explain
Answer:
No
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Identify Variables
Leg a = 7
Leg b = 16
Hypotenuse c = 18
Step 2: Check
Substitute in variables [Pythagorean Theorem]: 7² + 16² = 18²[Pythagorean Theorem] Evaluate exponents: 49 + 256 = 324[Pythagorean Theorem] Add: 305 ≠ 324Since we know that 305 does not equal 324, that means the side lengths do not form a Pythagorean triple.
ill give brainlest if correct
Answer:
d
Step-by-step explanation:
Learning Task 3:
Solve.
1. What is the area of the rectangle whose length is (x + 5) and width (x - 5)?
2. What is the area of the square whose sides measure (3x + 4)?
3. The area of the rectangle is 3x2 + 7x - 6, what is the length if the width is
(x + 3)
4. What is the average speed of the car that covers a distance of
(2y3-7y2 + 5y - 1) km in (2y-1) hour?
5. Multiply (m2 + 2m-2) by the sum of (m + 3 ) and (2m - 3)
Answer:
[tex]Area = x^2- 25[/tex]
[tex]Area =9x^2 +24x + 16[/tex]
[tex]Length = (3x -2)[/tex]
[tex]Speed = \left(y^2-3y+1\right)[/tex]
[tex]Product = 3m^3 + 6m^2 - 6m[/tex]
Step-by-step explanation:
Solving (1):
[tex]Length = (x + 5)[/tex]
[tex]Width = (x - 5)[/tex]
Required
Calculate Area
[tex]Area = Length * Width[/tex]
[tex]Area = (x + 5) * (x - 5)[/tex]
[tex]Area = x^2 + 5x - 5x - 25[/tex]
[tex]Area = x^2- 25[/tex]
Solving (2):
Given
[tex]Length = (3x + 4)[/tex]
Required: Calculate Area
[tex]Area =Length * Length[/tex]
[tex]Area =(3x + 4) * (3x + 4)[/tex]
[tex]Area =9x^2 + 12x + 12x + 16[/tex]
[tex]Area =9x^2 +24x + 16[/tex]
Solving (3):
[tex]Area = 3x^2 + 7x - 6[/tex]
[tex]Width = x + 3[/tex]
Required: Calculate Length
[tex]Area = Length * Width[/tex]
[tex]Length = \frac{Area}{Width}[/tex]
[tex]Length = \frac{3x^2 + 7x - 6}{x + 3}[/tex]
Factorize the numerator
[tex]Length = \frac{3x^2 + 9x -2x - 6}{x + 3}[/tex]
[tex]Length = \frac{3x(x + 3) -2(x + 3)}{x + 3}[/tex]
[tex]Length = \frac{(3x -2) (x + 3)}{x + 3}[/tex]
Divide by x + 3
[tex]Length = (3x -2)[/tex]
Solving (4):
[tex]Distance = (2y^3 - 7y^2 + 5y -1)[/tex]
[tex]Time = 2y - 1[/tex]
Required: Determine the average speed
This is calculated as:
[tex]Speed = \frac{Distance}{Time}[/tex]
[tex]Speed = \frac{2y^3 - 7y^2 + 5y -1}{2y - 1}[/tex]
Factorize the numerator
[tex]Speed = \frac{\left(2y-1\right)\left(y^2-3y+1\right)}{2y - 1}[/tex]
[tex]Speed = \left(y^2-3y+1\right)[/tex]
Solving (5):
Multiply [tex](m^2 + 2m - 2)[/tex] by sum of [tex](m + 3)[/tex] and [tex](2m - 3)[/tex]
First, calculate the sum:
[tex]Sum = m + 3 + 2m - 3[/tex]
[tex]Sum = m + 2m+3 - 3[/tex]
[tex]Sum = 3m[/tex]
Then, the product
[tex]Product = (m^2 + 2m - 2)(3m)[/tex]
[tex]Product = 3m^3 + 6m^2 - 6m[/tex]
Answer:
Step-by-step explanation:
Solving (1):
Required
Calculate Area
Solving (2):
Given
Required: Calculate Area
Solving (3):
Required: Calculate Length
Factorize the numerator
Divide by x + 3
Solving (4):
Required: Determine the average speed
This is calculated as:
Factorize the numerator
Solving (5):
Multiply by sum of and
First, calculate the sum:
Then, the product
What single decimal multiplier would you use to decrease by 1% followed by a 4% increase?
Answer:
The single decimal multiplier is 1.0296.
Step-by-step explanation:
Multipliers:
For a decrease of a%, we multiply by: [tex]\frac{100-a}{100}[/tex]
For a increase of a%, we multiply by: [tex]\frac{100+a}{100}[/tex]
For consecutive changes, we multiply the multipliers.
Decrease of 1%
Multiplication by [tex]\frac{100-1}{100} = \frac{99}{100} = 0.99[/tex]
Increase of 4%
Multiplication by [tex]\frac{100+4}{100} = \frac{104}{100} = 1.04[/tex]
Consecutive:
0.99*1.04 = 1.0296
The single decimal multiplier is 1.0296.
This is due soon help
You observe a plane approaching overhead and assume that its speed is 500 miles per hour. The angle of elevation of the plane is 18° at one time and 57° one minute later. Approximate the altitude of the plane.
Answer:
Step-by-step explanation:
3 219494
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
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
