Answer:
[tex]\frac{25}{9}[/tex]
Step-by-step explanation:
[tex]4+\frac{5}{3} ^2-2^2=\frac{5}{3}^2=\frac{25}{9}[/tex]
A student made a mistake when measuring the volume of a big container. He found the volume to be 75 liters.However, the real value for the volume is 60 liters. What is the percent error?
Answer: 20%
Step-by-step explanation:
Explanation is in progress of writing:
First, I will divide 60 by 75 and multiply by 100, to find what percent of 75 is 60:
= [tex]\frac{60}{75}[/tex] · 100
= 0.8 · 100
= 80%
The percentage error of the student's measurement is 25%.
Given the following data;
Experimental value = 75 liters Real value = 60 litersPercentage error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.
Mathematically, percentage error is given by this expression;
[tex]Perecent \; error = \frac{Real \; value - Experimental \; value}{Real \; value} * 100[/tex]
Substituting the values into formula, we have;
[tex]Perecent \; error = \frac{60 - 75}{60} * 100[/tex]
[tex]Perecent \; error = \frac{-15}{60} * 100[/tex]
Note: The negative sign is neglected in percentage error.
[tex]Perecent \; error = \frac{1}{4} * 100[/tex]
Percent error = 25%
Therefore, the percent error is 25%.
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Triangle ABC has vertices A (0, 2), B (5, 4), and C (5, 0). Triangle A′B′C′ has corresponding vertices A′ (–5, –1), B′ (0, 1), and C′ (0, –3). Which of the following describes a translation that would produce triangle A′B′C′ from the pre-image of triangle ABC? Question 4 options: A) To the left five units, up three units. B) To the right five units, up three units. C) To the left five units, down three units. D) To the right five units, down three units.
Answer:
C
Step-by-step explanation:
Which inequality is true?
A. 6 - pi > 3
B. pi + 3 < 6
C. 8 pi > 24
D. 12/pi > 4
Answer:
C.
Step-by-step explanation:
Round pi to 3.14 to get a rough estimate.
6 - 3.14 > 3 FALSE
3.14 + 3 < 6 FALSE
8 * 3.14 > 24 TRUE
12 ÷ 3.14 > 4 FALSE
Please look at the image below. I NEED TO ANSWER THIS NOW!!
Answer:
Tbh i dont knw mahn .... i m poor and i need points to ask questions thats y m here
Step-by-step explanation:
what is the value of the expression 3 1/4 - 1 7/8 =
Please help with the question below
Answer:
0, 120, 120, 150
Step-by-step explanation:
0, 120, 120, 150
Just multiply the speeds by the hour.
0 * 60 = 0
2 * 60 = 120
120 + 0 * 0.5 = 120
30 * 1 + 120 = 150
Can someone please help me
Answer:
The answer is A
HELP NOW
3600 dollars is placed in an account with an annual interest of 9% How much will be in the account after 25 years to the nearest cent !!
Answer:
A = $ 31,043.09
A = P + I where
P (principal) = $ 3,600.00
I (interest) = $ 27,443.09
Step-by-step explanation:
A = P(1 + r/n)^nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
what is the y-intercept of f(x)= -x^2÷1 +4
Answer:
(0, 4)
Step-by-step explanation:
Just set x = 0 and find y = f(x):
f(0) = [-(0)^2]÷1 +4 = 0÷1 + 4 = 4
The y-intercept is (0, 4)
PLEASE HELP ME !!!!!!!!
Answer:
54
Step-by-step explanation:
90-36=54
Answer:
Angle X is 90-36 = 54 degrees
3. What is the solution to the equation 3x = 15? Express the
solution as a logarithm, make an estimate, and then evaluate.
Round to the nearest thousandth.
Answer:
x=2.4650
Step-by-step explanation:
I assume that you mean [tex]3^x=15[/tex]
so let s use the ln() function
[tex]ln(3^x)= xln(3)=ln(15)[/tex]
so x = ln(15)/ln(3)
x = 2.4650
What is the volume of the cylinder below?
Answer:
No picture
Step-by-step explanation:
The picture isnt attached :( but the equation for the volume of a cylinder is: Hx [tex]\pi r^{2}[/tex]
H= height R: Radius
So for example if the height was 10 and the radius was 2 you would do the following:
Hx[tex]\pi r^{2}[/tex]
= 10x 3.14x[tex]2^{2}[/tex]
= 10x 3.14x 4
= 10x 12.56
= 125.6cm^3 :)
[tex]\pi r^{2}[/tex] is the equation on finding the are of the circle (bottom circle or top circle) we then multiply is by its height because its like the circle being stacked up together until it reaches the height. :) Hope this helps
Please answer the attachment below and say which number goes in the first or second, etc.
Answer:
use calculator
Step-by-step explanation:
1/500=0.002
3 2/25=308%
2.6=2 6/10
0.25%=0.0025
Answer:
They are actually in the correct order left to right !
Step-by-step explanation:
1/500 is 0.002 because 0.002 is pronounced "two thousandths" and 0.001 is pronounced "one thousandth", but it's written as 0.001 OR the fraction 1/1000! Using this you can infer that "two thousandths" is twice as large as 1/1000.
1/25 is 0.04, so 2/25 is 0.08 add the 3 and get 3.08. When displayed percentages in decimal form 100% = 1, so 300% = 3, therefore 308% = 3.08.
In the number 2.6 the decimal .6 is in the TENTHS place and so you can formally say this as "two and six tenths", which how the fraction 2 6/10 is also said!
As stated above when displaying percentages in decimal form:
100% = 1,
25% = 0.25,
1% = 0.01,
0.25% = 0.0025!
15. Select the graph which correctly displays the function f(x) = |x + 2|– 3.
Answer:
Step-by-step explanation:
f(0)=2-3=-1 so the point (0,-1) must be on the graph
f(-5)=|-5+2|-3=3-3=0 so the point (-5,0) must be on the graph
Then, the correct answer is the second graph
The graph that correctly displays the function f(x) = |x + 2|– 3 is the second graph.
How do we graph a function?We graph a function by calculating some values of f(x), plotting the points calculated as (x, f(x)), recognizing the trend, and completing the graph.
How do we solve the given question?To solve the given question, we will plot a graph of the function
f(x) = |x + 2|– 3 and then compare the graphs with it.
Our function f(x) = |x + 2|– 3 can be written as the combination of two functions g(x) = |x+2| and h(x) = -3
Since g(x) is a modulus function, it will be V-shaped. To recognize its start point and the trend, first we calculate x, when g(x) = 0
or, |x+2| = 0
or, x + 2 = 0
or, x = -2.
We find two more points, g(-1) and g(-3) to find if the V is upright or inverted.
g(-1) = |-1+2| = 1
g(-3) = |-3+2| = 1
Since g(-1) and g(-3) are greater than g(-2), g(x) = |x+2| is an upright V-shaped function starting from the point (-2,0)
h(x) = -3, is a straight line parallel to the x-axis, passing through the point -3 on the y-axis.
∴ f(x) = g(x) + h(x) = |x+2|-3 will move the graph of g(x) 3 points down.
The graph of f(x) will then be a V-Shaped upright curve, with the start point (-2, -3) and going up.
Our graph has been attached. The graph matching our graph is the 2nd one, so that is the right option.
Learn more about plotting graphs at
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he;p me please i am losing my points please anyone can you help at least one of you please please please! :(
[tex]answers \\ 1. \: \: c \\ 2. \: a \\ 3. \: d \\ 4. \: b \\ explantion \\ 1. \: \: r \: rotated \: 270.the \: r \: lies \: on \: {3}^{rd} \\ quadrant. \\ 2. \: \: r \: reflected \: to \: x. \: the \: r \: mirroring \\ to \: {1}^{st} quadrant. \\ 3. \: r \: moves \: 12 \: units \: upward. \\ 4. \: r \: scaled \: \frac{1}{5} . \: therefore \: the \: sides \: \\ scaled \: \frac{1}{5} also. \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment..[/tex]
please need help I will be MARKING as BRIANILIST. thank you so much.
Answer:
A
Step-by-step explanation:
15:60
Simplify the ratio.
15/15:60/15
1:4
Answer:
1:4
Step-by-step explanation:
The answer is 1:4 because 15:60 simplified is 1:4
Shelley is building a brick wall that needs to be 1.57 meters tall. So far, the wall is 1.54
meters tall, How much taller does the brick wall need to be?
meters
Answer:
0.03 m
Step-by-step explanation:
End height: 1.57 m
Current height: 1.54 m
Difference: 0.03 m
Wall must be 0.03 m taller than it is now.
:))))))))))))))))))))
Answer:
C
Step-by-step explanation:
[tex]48 \geqslant 6 - 7a \\ 48 - 6 \geqslant - 7a \\ 42 \geqslant - 7a \\ a \geqslant \frac{ 42}{ -7} \\ a \geqslant - 6[/tex]
Hope this helps..
Answer:
C. [tex] a \ge -6 [/tex]
Step-by-step explanation:
[tex] 48 \ge 6 - 7a [/tex]
Add 7a to both sides.
[tex] 7a + 48 \ge 6 [/tex]
Subtract 48 from both sides.
[tex] 7a \ge -42 [/tex]
Divide both sides by 7.
[tex] a \ge -6 [/tex]
Answer: [tex] a \ge -6 [/tex]
please help, I don’t understand.
Answer: The distance from Shively to the tower is 386.1 meters
The distance from Sparzak to the tower is 226.9 meters
The distance from Shively to Spazak is 386.1 m + 226.9m = 616 meters.
Step-by-step explanation:
You can create a triangle rectangle between the position of each boy, the bottom of the tower and the top of the tower.
From the left kid (i think is Shively), we have that the top angle (formed between the perpendicular line to the tower and the tower) must be:
A = 90° - 40° =50°
(that is a 90° angle divided by the hypotenuse of the triangle, then if one side is 40°, the other angle should be such that when we add bot angles the sum is 90°)
Now, we want to find the opposite cathetus to this angle, so we can use the relation:
Tan(A) = Opposite cath/adjacent cath.
And we know that the adjacent cathetus, the tower, is 324m long.
then:
Tan(50°) = X/324m.
Tan(50°)*324m = X = 386.1m
now for the other kid (the one in the right, Sparzak), the angle will be 90° - 55° = 35°.
So we have:
Tan(35°) = X/324m
Tan(45°)*324m = 226.9m
then:
The distance from Shively to the tower is 386.1 meters
The distance from Sparzak to the tower is 226.9 meters
The distance from Shively to Spazak is 386.1 m + 226.9m = 616 meters.
I need help ty i only need the answer
Answer:
50°
Step-by-step explanation:
90° add 40° makes 130°. 180° minus 130° makes 50°
Answer:
50
Step-by-step explanation:
90+50+40= 180 which is the total of a right triangle
A fair spinner A is spun 7 times. What is the probability of getting “Green” at least 5 times if there are 8 colors separated equally?
Answer:
[tex]6\frac{2}{3}[/tex]
Step-by-step explanation:
OK, so basically I'm pretty sure that you add all of them together and put it as a fraction over 3 so basically [tex]\frac{20}{3}[/tex] then simplify it into [tex]6\frac{2}{3}[/tex]
Answer plz!
Which choices are equivalent to the expression below? Check all that apply.
The right options are:
Option A
Option B
Option C
Please see the attached picture.
hope it helps
Good luck on your assignment..
PLZ HELP I NEED HELP THANK YOU
Answer:
3rd one
Step-by-step explanation:
The big prism is 10x10x15 = 1500, and all the values are bigger except for the third and fourth. However, since we are cutting something out it should be less than 1500, the only is the 3rd answer.
Answer:
1468 in^3
Step-by-step explanation:
you can just solve for the volume of the big container and then solve for the volume of the small container and subtract the volume of the small container from the big one.
big container: 10 x 10 x 15 = 1500
small container: 2 x 4 x 4 = 32
1500 - 32 = 1468
help on this translation, please :)
Answer:
1) False, the point would get flipped diagonally, to -4, 4.
2) True, the point would get flipped diagonally, to -2, 6
3) False, the point would get flipped diagonally, to -3, 1
4) True, the point would get flipped diagonally, to 5, 2
5) True, the point would get flipped diagonally, to 7, 5
6) False, the point would get flipped diagonally, to -9, 3
7) True, the point would get flipped diagonally, to -5, 4
8) True, the point would get flipped diagonally, to 2, 1
Answer:
1. true
2. false
3. true
4. false
5. false
6. true
7. false
8. false
Step-by-step explanation:
DONT TRUST ME ON THESE ANSWERS CAUSE IM NOT 100% SURE :0
A company is replacing cables with fiber optic lines in rectangular casing BCDE. If segment DE = 3 cm and segment BE = 3.5 cm, what is the smallest diameter of pipe that will fit the fiber optic line? Round your answer to the nearest hundredth.
Answer: 3.66 cm
Step-by-step explanation: Given a rectangular casing BCDE with segment DE = 3 cm and segment BE = 3.5 cm.
The area A of a rectangle is length multiply by width.
Where length L = 3.5 cm and
width W = 3 cm
Area A = 3.5 × 3 = 10.5 cm^2
The pipe that will fit the fiber optic line is in cylindrical shape. Where area of a cylinder = πr^2.
But area A = 10.5. Substitute the values for the area of the cylinder
10.5 = πr^2
10.5 = 3.143 × r^2
Make r^2 the subject of formula
r^2 = 10.5/3.143
r = sqrt ( 3.34225 )
r = 1.828
Diameter = 2 × radius
Diameter = 2 × 1.829
Diameter = 3.656 cm
Therefore, the smallest diameter of pipe that will fit the fiber optic line is 3.66 cm approximately.
Answer:
4.24 cm
Step-by-step explanation:
pythagorean theorem
a^2+b^2=C^2
3^2+3^2=18
square root of 18 =4.24
hope this helped :)
A computer technician charges a flat rate for home visits plus $ 55 per hour. The technician bills $190 for a 2-hour home visit to install a new hard drive. The equation y − 190 = 55(x − 2) gives the total amount y the technician charges for x hours of work.
What is the equation in slope-intercept form?
y = 55x + 190
y = 55x + 80
y = 190x + 55
y = 2x + 55
Answer: y = 55x + 80
Step-by-step explanation:
Answer:
1. y = 55x + 80
2. the flat rate
3. The technician worked 4.5 hours
Step-by-step explanation:
Hope this helps!
A cafeteria has a special: one hamburger and one order of fries is $5.49, and one hamburger and two orders of fries is $6.99. Determine the price of the hamburger.
Answer:
$3.99
Step-by-step explanation:
if one fry and one Burger is $5.49, and two fries and one Burger is $6.99, the difference between those two numbers is a $1.50 so, $5.49 - $1.50 equals $3.99 also known as the amount of money for one Burger.
Which of the following is equivalent to 10000 lb?
Answer:
5 Tons
Step-by-step explanation:
Or 7,858.35 Pound sterling In Money Standards
Differentiate the function.
y = (4x − 1)^2 (4 -x^5)^4
dy/dx=
Answer:
[tex]\displaystyle y' = -4(4x - 1)(4 - x^5)^3(22x^5 - 5x^4 - 8)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightDistributive Property
Algebra I
Terms/CoefficientsFactoringCalculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify
y = (4x - 1)²(4 - x⁵)⁴
Step 2: Differentiate
Product Rule: [tex]\displaystyle y' = \frac{d}{dx}[(4x - 1)^2](4 - x^5)^4 + (4x - 1)^2\frac{d}{dx}[(4 - x^5)^4][/tex]Chain Rule [Basic Power Rule]: [tex]\displaystyle y' = [2(4x - 1)^{2 - 1} \cdot \frac{d}{dx}[(4x - 1)]](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^{4 - 1} \cdot \frac{d}{dx}[(4 - x^5)]][/tex]Simplify: [tex]\displaystyle y' = [2(4x - 1) \cdot \frac{d}{dx}[(4x - 1)]](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^3 \cdot \frac{d}{dx}[(4 - x^5)]][/tex]Basic Power Rule: [tex]\displaystyle y' = [2(4x - 1) \cdot 4x^{1 - 1}](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^3 \cdot -5x^{5 - 1}][/tex]Simplify: [tex]\displaystyle y' = [2(4x - 1) \cdot 4](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^3 \cdot -5x^4][/tex]Multiply: [tex]\displaystyle y' = 8(4x - 1)(4 - x^5)^4 - 20x^4(4x - 1)^2(4 - x^5)^3[/tex]Factor: [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3 \bigg[ 2(4 - x^5) - 5x^4(4x - 1) \bigg][/tex][Distributive Property] Distribute 2: [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3 \bigg[ 8 - 2x^5 - 5x^4(4x - 1) \bigg][/tex][Distributive Property] Distribute -5x⁴: [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3 \bigg[ 8 - 2x^5 - 20x^5 + 5x^4 \bigg][/tex][Brackets] Combine like terms: [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3(-22x^5 + 5x^4 + 8)[/tex]Factor: [tex]\displaystyle y' = -4(4x - 1)(4 - x^5)^3(22x^5 - 5x^4 - 8)[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
someone pls help me
Answer:
x 5 2 -1 -7 -10 1 -19
y 10 4 8 6 20 24 32
Step-by-step explanation:
Hope this helps!
This is for the x section 5 2 -1 -7 -10 1 -19
This is for the y section 10 4 8 6 20 24 32
Correct me if i'm wrong