Answer: Percentage error = -5.9%
Step-by-step explanation:
Step 1
Percentage error =Approximate Value − theoretical Value / Theoretical value × 100%
or
Percentage error = Assumed number - Result number / Result number x 100
Given Assumed number / Approximate Value= 32o F
Result number/ Theoretical value= 34o F.
Step 2---
Percentage error = (32 - 34)/ 34 x 100
= - 2/34 x 100
= - 5.88%
Joshua was in error by - 5.88 % which when rounded to nearest tenth gives - 5.9%.
How do I solve this problem and check all the solutions?
Answer:
x-5=sqrt(2x+5)
then square both sides
x2-10x+25=2x+5
x2-8x+20=0
rest is trivial
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
Given
x - [tex]\sqrt{2x+5}[/tex] = 5 ( subtract x from both sides )
- [tex]\sqrt{2x+5}[/tex] = 5 - x ( divide all terms by - 1 )
[tex]\sqrt{2x+5}[/tex] = x - 5 ( square both sides )
2x + 5 = (x - 5)²
2x + 5 = x² - 10x + 25 ( subtract 2x + 5 from both sides )
0 = x² - 12x + 20 ← in standard form
0 = (x - 2)(x - 10) ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 10 = 0 ⇒ x = 10
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions
x = 2
2 - [tex]\sqrt{4+5}[/tex] = 2 - [tex]\sqrt{9}[/tex] = 2 - 3 = - 1 ≠ 5
Thus x = 2 is an extraneous solution
x = 10
10 - [tex]\sqrt{20+5}[/tex] = 10 - [tex]\sqrt{25}[/tex] = 10 - 5 = 5 = right side
Thus x = 10 is the solution
Find the equation of the line through point (10,4) and parallel to 3x+5y=8.
[tex]3x+5y=50[/tex] is the equation of the line through point (10,4) and parallel to 3x+5y=8.
How to solve equation of the line through point and parallel to a given line?We can write the equation of a line parallel to a given line if we know a point on the line and an equation of the given line. y=2x+3 . Parallel lines have the same slope. The slope of the line with equation y=2x+3 is 2 .
Given
Equation of the line is 3x + 5y = 8.
Point = (10, 4)
First we find the slope of the line 3x + 5y = 8 by replacing it into slope intercept form:
[tex]3x + 5y = 8[/tex]
⇒ [tex]5y = -3x + 8[/tex]
⇒ [tex]y = \frac{-3}{5} x + \frac{8}{5}[/tex]
Therefore, the slope of the line is m = [tex]\frac{-3}{5}[/tex].
Now since the equation of the line with slope m passing through a point [tex](y-y_{1} )=m(x-x_{1})[/tex]
⇒ [tex]y - 4=\frac{-3}{5} (x-10)[/tex]
⇒ [tex]5(y-4)=-3(x-10)[/tex]
⇒ [tex]5y-20=-3x+30[/tex]
⇒ [tex]3x+5y=30+20[/tex]
⇒ [tex]3x+5y=50[/tex]
Hence, [tex]3x+5y=50[/tex] is the equation of the line through point (10,4) and parallel to 3x+5y=8.
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Graph the equation.
y=2x+5
Answer: you can use the table of values. And just plug these in
Step-by-step explanation:
x values: -2, -1, 0, 1, 2
Y values: 1,3,5,7,9
You're welcome! :)
Sorry I couldn't insert a picture.
Very lost on this one! Anyone know?
Answer:
60
Step-by-step explanation:
In this case, all of the sides are equal. All sides should add up to 180 degrees.
x+x+x=180
180/3= 60
The formula for the circumference of a circle is C=2 nr. What is the radius of a circle with a
circumference of 22 cm?
Answer:
The formula for the circumference of a circle is C = 2πr, where r is the radius and C is the circumference. The equation solved for r is r =c/2π .
Step-by-step explanation: hope this helped!
Answer:
The radius of the circle with circumference 22cm is 3.5 cm
Step-by-step explanation:
The circumference of circumference of a circle is the distance of its closed boundary.
The circumference of a circle with radius r is given by the formula:
[tex]C = 2\pi r[/tex]
Given
C = 22cm
Putting the values in the formula
[tex]22 = 2 * \frac{22}{7} * r\\22 = \frac{44}{7} * r\\r = \frac{7}{44} * 22\\r = \frac{7}{2}\\r = 3.5cm[/tex]
Hence,
The radius of the circle with circumference 22cm is 3.5 cm
What is:
5+5(5-5•5)-5 = ?
Answer:
-100
Step-by-step explanation:
Caylan is making bakes goose for a charity bake sale ha places a tray of scones a tray of muffing and a tray of cookies in the oven the second bake for 15 the muffins bake for 12 minutes and the cookies bake for 10 minutes when one tray is done he removes it a replaces it with another tray of the same item how many minutes after caylan puts the trays in the oven will he first remove the scones muffins and cookies at the same miinutes
Answer:
Step-by-step explanation:
an hour, or 60 minutes
Answer:
60 minutes
Step-by-step explanation:
i d 1 0 t
For every 1 litre of water used to make a medicine, 199 ml of sucrose and 47 ml of saline solution are used. Express the amount of water, sucrose and saline solution needed as a ratio in its simplest form.
Answer:
water : sucrose : saline = 1000 : 199 : 271
Step-by-step explanation:
Given Information:
water = 1 litreProcess:
convert everything to mL (same units)1 litre = 1000 mlwater = 1 litre = 1000 mlwater : sucrose : saline = 1000 : 199 : 271The temperature was -5 ℉ in Denver and then fell 8 ℉ by the morning.
The temperature was -15 ℉ im Minneapolis and then rose 9 ℉ in the morning.
At midnight the temperature is -6℃. At midday the temperature is 9℃. By how much did the temperature rise
The temperature is -2℃. If the temperature rises by 15℃, what is the new temperature?
Answer:
The new temperature is 13 degrees Fahrenheit
Step-by-step explanation:
If p = 2 and q = 8, the value of p3 + V64 q ls____
Answer:
518
Step-by-step explanation:
P = 2
Q = 8
p3 + 64q
Multiply "p" (which is 2) with 3
Multiply "q" (which is 8) with 8
Add the two numbers you get
And you have you answer
I hope this helps. :)
In a bag of coloured jellybeans, the ratio of yellow to orange to red is 6 : 5 : 4. If there are 60 jellybeans in the bag, how many of each colour are there?
Based on the ratio of the jellybeans and the number of jellybeans, the number of each is:
Yellow = 24 jellybeansOrange = 20 jellybeans Red = 16 jellybeansTo find the number of yellow jellybeans:
= Ratio of Yellow/ Sum of ratios x Number of jellybeans in total
= 6 / (6 + 5 + 4) x 60
= 24 yellow jellybeans
Orange jellybeans:
= 5 / 15 x 60
= 20 orange jellybeans
Red jellybeans:
= 4 / 15 x 60
= 16 red jellybeans
In conclusion, there are several colors of jellybeans.
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The Law of Conservation of Mass states:
Question 10 options:
mass can be created but not destroyed
mass can't be created but can be destroyed
mass can't be created or destroyed
mass can be created and destroyed
please help me
Answer:
matter cannot be created or destroyed
Step-by-step explanation:
just read about this in my engineering homework
PLEASE HELP!Choose the slope and y-intercept that
correspond with the graph.
Click on the correct answer
Find the value of x?
A.5/2\2
B.5
C.10
D.10/2
There were 3 squirrels and 18 acorns on Josh's back porch. What was the ratio of acorns to squirrels? Enter your answer in reduced form.
6:1
18:3
3:18
1:6
Answer:
1/6
Step-by-step explanation:
-38=-2(n+6)+6(3n+1) Can you please solve marking branlest show work
Answer:
n = -2
Step-by-step explanation:
-38 = -2n -12 +18n +6
-38 =16n -6
-38 +6 =16n
-32= 16n
n=-2
Find X please
36/x=8/7
Answer:
i think x=31.5
Step-by-step explanation:
the answer is x = 31.5
1000¥ (Japanese Yen) is equivalent to $8.00. A shirt costing 650¥ would cost how many dollars?
Answer:
5.20
Step-by-step explanation:
I took a test and that was the answer
Which expression is a perfect cube?
mc013-1.jp g
mc013-2.j pg
mc013-3.j pg
mc013-4.jp g
Answer:
B on edge
Step-by-step explanation:
Got its right on the test
(B) [tex]-1,331m^{18} nx^{15} px^{21}[/tex]
Perfect Cube:Numbers that are the triple product of the same number are known as perfect cubes. In other words, the value produced by multiplying a whole number by three times itself is a perfect cube. A number that may be expressed as three times the product of another integer is referred to as a perfect cube.Expression -An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.Therefore, the correct option is (B) [tex]-1,331m^{18} nx^{15} px^{21}[/tex].
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plz help GET LOTS OF POINTS!!!!!!
The trend line passes through points (2,5) and (6,11). What is the slope of the trend line?
What is the y-intercept of the trend line?
Y=___X +___
Answer:
slope = 3/2
y intercept = 2
y = 3/2x + 2
Step-by-step explanation:
to find the slope you will you (y₂-y₁) ÷ (x₂-x₁)
(11-5) ÷ (6-2) =
6 ÷ 4 = 3/2
slope = 3/2
to find the y intercept you with use the slope intercept formula (y = mx+ b) and use one point given for x and y
for the example im going to use the point (2,5)
5 = 3/2 (2) + b
5 = 3 + b
subtract three from both sides to find b (y-intercept)
b = 2
Rectangle JKLM undergoes a sequence of transformations, resulting in rectangle J’K’L’M’. The length of side K’L’ is 6 units. The coordinates of vertex K’ are (-3, 2), and the coordinates of vertex M’ are (3, -2). Describe a sequence of transformations to rectangle JKLM that would result in rectangle J’K’L’M’.
Answer:
J,F,K
Step-by-step explanation:
J,F,K
A sequence of transformations to rectangle JKLM that will result in rectangle J'K'L'M' is a translation by 3 units and -4 units, a reflection about the y-axis, and a rotation of 90 degrees counterclockwise about the origin.
What is a rectangle?A rectangle is a quadrilateral with four right angles and four sides of equal length. It is one of the most common shapes in nature and is found in everything from architecture to floor patterns.
Now, In order to transform rectangle JKLM into J'K'L'M', a series of transformations must be applied.
The first transformation is a translation of the rectangle along the x-axis by 3 units and along the y-axis by -4 units.
This will move the original rectangle from its original position, JKLM, to the new position, J'K'L'M'.
Next, a reflection about the y-axis needs to be applied, which will flip the rectangle around the y-axis.
This will result in the length of side K'L' being 6 units.
Finally, a rotation about the origin needs to be applied. The rotation should be 90 degrees counterclockwise in order for the coordinates of vertex K' to be (-3,2) and the coordinates of vertex M' to be (3,-2).
Therefore, a sequence of transformations to rectangle JKLM that will result in rectangle J'K'L'M' is a translation by 3 units and -4 units, a reflection about the y-axis, and a rotation of 90 degrees counterclockwise about the origin.
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There were 42 mangoes in each crate. 12 crates of mangoes were delivered to a factory. 4 mangoes were rotten and had to be thrown away. The remaining mangoes were packed into boxes of 10 mangoes each. How many mangoes were delivered to the factory? + Your answer. help asp
Answer:
50 mongoes
Step-by-step explanation:
42 x 12= 504 mangoes
504 - 4 = 500 mongoes
500/10= 50 mongoes
Consider the expression –3(y – 5)2 – 9 + 7y.
Which statements are true about the process and simplified product? Check all that apply.
The first step in simplifying is to distribute the –3 throughout the parentheses.
There are 3 terms in the simplified product.
The simplified product is a degree 3 polynomial.
The final simplified product is –3y2 + 7y – 9.
The final simplified product is –3y2 + 37y – 84.
Answers:
B) There are 3 terms in the simplified product.
E) The final simplified product is –3y2 + 37y – 84.
The true statements are:
B. The simplified product has three terms
E. –3y2 + 37y – 84 is the final simplified product.
How to Simplify The Product of Polynomials?Given the polynomial expression, –3(y – 5)² – 9 + 7y, to simplify, do the following:
–3(y – 5)(y – 5) – 9 + 7y
-3y² + 30y - 75 - 9 + 7y
Combine like terms
-3y² + 37y - 84 (three terms)
Therefore, the statements that are true are:
B. The simplified product has three terms
E. –3y2 + 37y – 84 is the final simplified product
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HURRYYY HELPP!! Are the triangles below congruent by Side-Side-Side, Side-Angle-Side, or neither?
Answer:
b
Step-by-step explanation:
what is the shortest possible distance between the houses
Answer:
A.) 8.5 miles
Step-by-step explanation:
I think its a because it says "THE SHORTEST possible" distance between the houses. So A.) 8.5 miles is the correct answer because A.)8 .5 miles is the shortest answer in the list of answers.
Hope this helped.
The shortest distance between the two houses is 13 miles.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
By observing the diagram we conclude that the shortest distance is the hypotenuse of the right-angled triangle that will form.
Given, The base is 12 miles and the height is 5 miles.
Therefore by Pythagoras' theorem,
Hypotenuse = √(5² + 12²).
Hypotenuse = √(25 + 144).
Hypotenuse = √(169).
Hypotenuse = 13 miles.
So, The shortest distance between the houses is 13 miles.
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can someone please help.. will mark brainliest !
Helpppp!! Are the triangles below congruent by Side-Side-Side, Side-Angle-Side, or neither?
Which is the graph of the function f(x) = 1/2x2+2x-6?
Answer:
This is how the graph would look like
Step-by-step explanation:
The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] is attached below.
What is plotting of graph of a function?The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] can be created by plotting a few coordinates that lie on the function.
When x = 0, y = -6
Coordinate = (0, -6)
When y = 0, [tex]0.5x^{2} + 2x - 6 = 0[/tex]
[tex]x^{2} + 4x - 12 = 0\\\\x^{2} + 6x - 2x - 12 = 0\\\\x(x+6) - 2(x+6) = 0\\\\(x-2)(x+6) = 0\\\\x = 2, -6\\[/tex]
Coordinates = (2,0), (-6,0)
Abscissa of vertex of graph = -b/2a = -2
Ordinate of vertex of graph = 0.5 *4 -4 - 6 = -8
coordinate = (-2, -8)
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What is the domain and range please? Also is it a function?
Answer:
Once again, both are infinite. It is a function.
Step-by-step explanation:
What Symbol makes them true sentence
Answer: B
Step-by-step explanation: