Using percentage error, the measured weight is 0.5% less than the expected weight.
What is Percentage ErrorThe percentage error serves as a gauge for how closely a computed or experimental result matches the true or accepted value. It is determined as the true or accepted value multiplied by 100% times the absolute difference between the experimental or calculated value and the true or acceptable value.
The formula for percentage error is:
Percentage Error = (|experimental value - true value| / true value) x 100%
The weight of the distilled water can be calculated by subtracting the weight of the graduate from the combined weight of the graduate and water:
weight of water = 100.28 g - 85.49 g = 14.79 g
To calculate the percentage error, you can use the formula:
(measured weight - actual weight) / actual weight * 100%
The actual weight of 15 mL of distilled water is 15 g, so the percentage error is:
(14.79 g - 15 g) / 15 g * 100% = -0.5%
So, the deviation from the expected weight of 5 g is -0.5%, which means the measured weight of the distilled water is 0.5% less than the expected weight.
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What is missing fraction following equation 1 1/2- x= 3/4
Answer:
3/4
Step-by-step explanation:
1 1/2 = 3/2
3/2 - x = 3/4
6/4 - x = 3/4
Hence,
x = 6/4 - 3/4 = 3/4
Which of the following is the solution to 3 |x-1/2 12?
Therefore , the solution of the given problem of equation comes out to be x>5 .
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula.
Here,
Given :
we have equation 3|x - 1| > 12
So , to find the value of x :
=> 3x-3 >12
=> 3x>15
=> x>5
thus , x value is x>5 ,
So , it can be 6,7 and so on.
Therefore , the solution of the given problem of function comes out to be x>5 .
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The measure of one angle of a right triangle is 56∘ more than the measure of the smallest angle. Find the measure of the smallest angle.
Subtract 90 from 180, which is 90 degrees.
Then you get the equation of 2x+56 = 90 for which the 2 represents the split between the 90 degrees and the +56 is the 56 degrees higher than the smaller angle.
Solving this gives you x = 17 degrees, which is the small angle.
For 17+56 = 73 = larger angle
17+73 = 90 plus the other 90 gives you 180 total.
Answer:
The smallest angle is 17°
Step-by-step explanation:
All the angles add up to 180°. Use this to write an equation.
x = smallest angle
x+56 = not the smallest angle
90 = the right angle
x + x+56 +90 =180
combine like terms
2x + 146 = 180
subtract 146
2x = 34
divide by 2
x = 17
The smallest angle is 17°.
see image.
Given f(x)=x-7 and h(x)=2x+3
Write the rule for h(f(x))
Awnsers are
H(f(x))=2x-11
H(f(x))=2x-7
H(f(x))=2x-4
H(f(x))=3x-4
The value of the function is h(f(x)) = 2x-11
What is a function?A function is defined as a relation between a set of inputs having one output each, a function is a relationship between inputs where each input is related to exactly one output.
Given that, are two functions f(x) = x-7 and h(x) = 2x+3,
We need to find h(f(x)),
Therefore,
h(f(x)) =
= 2(x-7)+3
= 2x-14+3
= 2x-11
Hence, h(f(x)) = 2x-11
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Is the relation shown below a function? Use the graph and justify your answer. (0, 0), (2, 0), (2, 2), (3, 4) and (6, 6) A coordinate plane with 4 points plotted: one is at the origin, one is 2 units to the left of the origin on the x axis, one is 2 units above the last point, and one is 4 units above and 3 units to the right of the origin. Yes, each x-value has a unique y-value. Yes, each y-value has a unique x-value. No, two points have different y-values for the same x-value of 2. No, two points have different x-values for the same y-value of 2.
The relation (0, 0), (2, 0), (2, 2), (3, 4) and (6, 6) is not function.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
(0, 0), (2, 0), (2, 2), (3, 4) and (6, 6).
Now, we now that any relation is said to be function if the every input value have their corresponding value and the input value should be distinct.
So, there is no two input values repeat.
Then, the given relation is not a function because in the relation the same input value 2 have output 0 and 2.
Hence, the relation is not function.
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The length of a rectangle is 11 ft less than three times the width and the area of the rectangle is 70ft ^2
The length of the rectangle is 10ft and width of the rectangle is 7ft.
What is area of rectangle?
The area a rectangle occupies is the space it takes up inside the limitations of its four sides. The dimensions of a rectangle determine its area. In essence, the area of a rectangle is equal to the sum of its length and breadth.
According to the question
Length = 3(width)-11
=> l = 3w-11.
Now area of rectangle = lw
=> 70 = (3w-11)(w)
=> [tex]3w^2-11w=70[/tex]
=> [tex]3w^2-11w-70=0[/tex]
=> [tex]3w^2+10w-21w-70=0[/tex]
=> (3w+10)(w-7)=0
=> w= 7 ft
Then length l = 3(7)-11=21-11 = 10 ft.
Hence the length of the rectangle is 10ft and width of the rectangle is 7ft.
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10. Higher Order Thinking Anna counts
to 30. She only counts 3 numbers. Did
Anna count by Is or 10s? Use pictures,
numbers, or words to explain.
Answer: it depends on what age she is but she probably counted by 10s
Algerbra 1 9th grade math word problem(ignore the bottem didn’t know what i was doing)
A variable operates as a stand-in for an equivocal value. In mathematics, variables are used to establish general equations that are later built in with specific values.
What are equations, and what various sorts are there?
Identity equations and dependent equations are the two sorts of equations. All feasible values of the variables result in an identity. Only certain pairings of the variables' values make a conditional equation true. Two expressions coupled by the equals symbol ("=") form an equation. A formula would be 3x - 5 = 16, for reference. When this equation is solved, we realize that the value of the variable x is 7.
Let x in the following problem be the adult ticket and y the youth ticket.
Since then, Brianna's family has spent $134 on 2 adult tickets and 3 child tickets the first equation will be 2x+3y = $134 Max's parents bought $146 on three adult and two child tickets, thus second one is ,3x+2y = $146.
6x+9y = $402 is calculated by multiplying the first equation by 3 and the second equation by 2.
6x+4y = $292
By resolving the equations above, we have 5y= $110y = 22.
When we plug the value of y into the equation above, we get x=34.
The primary solution is this.
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100 POINTS PLEASE HELP THERE IS A PIC JUST PLEASE CLICK ON IT PLEASEEEE
Answer:
[tex]2.48\times 10^{-2}[/tex]
Step-by-step explanation:
Given rational expression:
[tex]\dfrac{\left(1.24 \times 10^2\right)\left(3.6 \times 10^{-3}\right)}{1.8 \times 10}[/tex]
Remove the parentheses in the numerator:
[tex]\implies \dfrac{1.24 \times 10^2 \times 3.6 \times 10^{-3}}{1.8 \times 10}[/tex]
Collect like terms in the numerator:
[tex]\implies \dfrac{1.24 \times 3.6 \times 10^2 \times 10^{-3}}{1.8 \times 10}[/tex]
Multiply the numbers 1.24 and 3.6:
[tex]\implies \dfrac{4.464 \times 10^2 \times 10^{-3}}{1.8 \times 10}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]
[tex]\implies \dfrac{4.464 \times 10^{2-3}}{1.8 \times 10}[/tex]
[tex]\implies \dfrac{4.464 \times 10^{-1}}{1.8 \times 10}[/tex]
[tex]\textsf{Apply the fraction rule} \quad \dfrac{a \times b}{c \times d}=\dfrac{a}{c} \times \dfrac{b}{d}:[/tex]
[tex]\implies \dfrac{4.464}{1.8} \times \dfrac{10^{-1}}{10}[/tex]
Divide the numbers 4.464 and 1.8:
[tex]\implies 2.48\times \dfrac{10^{-1}}{10}[/tex]
[tex]\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]
[tex]\implies 2.48\times 10^{-1-1}[/tex]
[tex]\implies 2.48\times 10^{-2}[/tex]
Two sides of a triangle have lengths 12 and 28. Which inequalities describe the values that possible lengths for the third side?
The linear inequality that will represent the third side of the triangle will be x<40 where x=third side.
What is a triangle?
Triangles are polygons in geometry that have three sides and three vertices. This figure is two-dimensional and has three straight sides. A triangle is a three-sided polygon. A triangle's three angles added together equals 180°. A single plane contains the triangle. The triangle is classified into six forms based on its sides and angles.
A triangle is categorized into three categories based on its sides, namely:
Scalene Triangle - Each side has a distinct length.
Isosceles Triangle - A triangle with two sides of equal length and one side of a different length.
Equilateral Triangle - A triangle has three sides that are of the same length.
A triangle is categorized into three categories based on its angles, namely:
Acute Angle Triangle - A triangle with all of its angles smaller than 90°.
Obtuse Angle Triangle - A triangle with one of its angles larger than 90°.
Triangle with a Right Angle - A triangle with one of its angles equal to 90°.
Now,
As sum of two sides of a triangle>third side.
Hence,
x<12+28
x<40, x=third side
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Kate buys 10 tickets to a show.
She also pays a $5 parking fee.
She spent $35 to see the show.
Answer:
10x + 5 = 35
Step-by-step explanation:
x = tickett
Remember something like this.. .each ticket I THINK was 3$
Please tell if right or wrong…..
Find the values of the ratios (red to blue) of the perimeters and areas
in simplest form.
9
14
The ratio of the perimeters is
The ratio of the areas is ___
The values of the ratios of the perimeters and areas of the red figure to the blue figure, which are similar figures, in the simplest form are:
Ratio of their perimeters: 14/9
Ratio of their areas: 196/81
What is the area?
A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface.
The ratio of the perimeter of similar figures = a side length of one figure / corresponding side length of the other figure
The ratio of the areas of two similar figures = square of a length of one figure / square of a corresponding length of the other
Thus:
Side length of Red figure = 14
Side length of Blue figure = 9
Therefore:
The ratio of their perimeter = Side length of red figure / Side length of blue figure
Ratio of the perimeter of red figure to blue figure = 14/9
The ratio of their areas = Side length of red figure / Side length of blue figure
Ratio of the perimeters of red figure to blue figure
= 14²/9² = 196/81
In summary, the values of the ratios of the perimeters and areas of the red figure to the blue figure, which are similar figures, in the simplest form are:
Ratio of their perimeters: 14/9
Ratio of their areas: 196/81
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Whis one is warmer ; -5°C or -7°C?
Select the example of an inequality.
The Correct answer for example of an inequality is Option C, 4y≤64.
What is Inequality?The mathematical expression with unequal sides is known as an inequality in mathematics. Inequality is referred to in mathematics when a relationship results in a non-equal comparison between two expressions or two numbers.
In this instance, any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to symbol (), less than or equal to symbol (), or not equal to symbol (), is used in place of the equal sign "=" in the expression. Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics.How to Solve Inequalities?Rearrange the equation so that the variable "y" is on the left and the remaining components are on the right. For instance, y>x+2Put the values for x on the graph to create the "y=x+2" line.For y or y, draw a solid line, and for y or y>, draw a dashed line.Now, shade the line to reflect inequalities, with a "greater than" (y> or y) signifying a value above the line and a "less than" (y or y) signifying a value below the line.To know more abot Inequalities Refer to:
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What is the sum of the inverse cosine and the inverse sine of the same ratio?
a.) 180º
b.) 90º
c.) 0º
d.) 45º
Which of the following would allow you to find a missing angle in a right triangle?
a.) sin^ –1
b.) sin
c.) both
d.) neither
The sum of the inverse cosine and the inverse sine of the same ratio is; Choice B; 90°.
The sine and inverse sine functions can help find the missing angle in a right triangle; Choice C; both is correct.
What is the relationship between sine and cosine of complementary angles?Recall that; if angles A and B are complementary angles; i.e A + B = 90; then
sin A = cos B = x
On this note since sin A = x and cos B = x;
sin-¹ x = A and cos-¹ x = B
On this note, the sum of sin-¹ x and cos-¹ x = A + B = 90°.
Hence, Choice B is correct.
2. It follows from triangle geometry that the measure of acute angles of a right triangle can be determined by trigonometric ratios.
Hence, both sin and sin-¹ would allow one to find the missing angle in a right triangle. Hence, Choice C is correct.
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Michael and Trevor are selling T shirts and sweatshirts with the school logo. Michael sells 10 Tshirts and 6 sweatshirts for $260. Trevor sells 5 Tshirts and 7 sweatshirts for $250. Write a system of equation to represent the situation. Using x for the price of tshirts and y for the price of sweatshirts. Solve the system of equations using elimination or substitution.
Answer:
x = 8
y = 30
Step-by-step explanation:
10x + 6y = 260
5x + 7y = 250
we can use the elimination method by multiplying the second equation by -2 to get:
-10x - 14y = -500
now we can add them together:
10x + 6y = 260
-10x - 14y = -500
the 'x' will be eliminated and we have -8y = -240
y = 30
plug 30 into either equation to solve for 'x':
10x + 6(30) = 260
10x + 180 = 260
10x = 80
x = 8
Will someone help me with this basic geometry?
Answer:
nhnbuhbgbhunhjnu h
Step-by-step explanation:
…………………………………………………………………..
The height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning
slope of -0.4. See the figure below.
Suppose that the height of the candle after 16 hours is 18.6 centimeters. What will be the height of the candle after 23 hours
The candle's height after 16 hours is 20.4 - 1.6, or 18.8 centimeters.
What is meant by linear function?A straight line makes up the graph of a linear function. The following expression describes a linear function. Y equals f(x) = a + bx. Both the independent and dependent variables of a linear function are one.Any function that depicts a straight line on the coordinate plane is said to be linear. For instance, the equation y = 3x – 2 indicates a straight line on a coordinate plane, indicating that it is a linear function. This function can be expressed as f(x) = 3x - 2 since f(x) can take the place of y. Look for a steady rate of change to determine whether a table of values depicts a linear function. You are viewing a linear function if there is one.Let Y = height
Let X = time
Y = mX + b, where m is the slope and b is the y-intercept, denotes the linear relationship between height and time.
We can determine the slope using the data (8,20.4) and (19,18.2)
Slope = (y2 - y1) / (x2 - x1) = (18.2 - 20.4) / (19 - 8) = -2.2 / 11 = -0.2
This indicates that the candle's height is decreasing at a rate of 0.2 cm each hour.
Since 16 hours are 8 hours after the initial data point of (8,20.4), the height will decrease in the 8 hours between hour 8 and hour 16 by 8 * (-0.2) = -1.6 cm.
The candle's height after 16 hours is 20.4 - 1.6, or 18.8 centimeters.
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You and a friend go to Tacos Galore for lunch. You order three soft tacos and three burritos and your total bill is $12. Your friend's bill is $10 for four soft tacos and two burritos. How much do soft tacos cost? How much do burritos cost
If You and a friend go to Tacos Galore for lunch and You order three soft tacos and three burritos and your total bill is $12. Cost of a soft taco is $2 and cost of a burrito is $2.
How to find the cost?Let the cost of a soft taco = x
Let the cost of a burrito =y
You ordered 3 soft tacos and 3 burritos, so your bill = 3x + 3y = $12
Your friend ordered 4 soft tacos and 2 burritos, their bill = 4x + 2y = $10
Solving the two equations above:
3x + 3y = $12
4x + 2y = $10
Subtracting the second equation from the first:
x = $2 (Soft taco)
Solving for y, where x is $2
y = ($12 - 3x) / 3
y= ($12 - 3 * $2) / 3
y = $2 (cost of a burrito)
Therefore Cost of a soft taco is $2 and cost of a burrito is $2.
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one 1000 loan charges 5% intrest at the end of each year, while a second loan charges 8% intrest at the end of the year
what is the domain of f(x)=7^x
Answer:
Step-by-step explanation:
The domain of the function f(x) = 7^x is all real numbers.
A function's domain is the set of all input values (x-values) for which the function returns a valid result (y-value). The input value x for the function f(x) = 7x can be any real number. This is because the equation 7x is a real number and an acceptable output value for any real number x. As a result, the domain of f(x) = 7x is defined as (-infinity, +infinity).
It is worth noting that when x is a negative number, 7x is a fraction. In addition, when x is 0, 7x equals 1. And if x is positive, 7x will be bigger than zero.
In conclusion, the domain of f(x) = 7x is all real numbers since the function may take any real integer as input and output a valid result.
Solve equation 3x+2x+4=39
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
[tex]3x+2x+4=39 \\ \\ 5x+4=39 \\ \\ 5x=35 \\ \\ x=7[/tex]
You are paid $1.5 times your normal hourly rate for each hour you work over 32 hours in a week. You work 33 hours this week and earn $545.38. What is your normal hourly rate?
Answer:
300 i believe is around
Step-by-step explanation:
not
15 Answer:
A local gym charges nonmembers $10 per hour to use the tennis courts.
Members pay a yearly fee of $300 and $4 per hour for using the tennis
courts. Write an equation to find how many hours, h, you must
use the tennis courts to justify becoming a member.
16 Answer:
Solve the equation in question #15 for the value of h.
Answer:23.45
Step-by-step explanation:
Is the product of a 4 digit number and a 1 digit number always a 5 digit number
Answer:
Not always
Step-by-step explanation:
If you multiply
7894 times 5 it equals 39470
but,
if you multiply
1234 times times 5 it equals 6170
this is also true with multiplying the 4 digit number by 1.
I genuinely need help, please answer quickly
P.S the answer is not
[tex]x \leqslant - 5[/tex]
that is a step to getting the answer.
The solution to the compound inequality as a single inequality will be → x ≤ -3.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.f(x) < g(x), means that expression f(x) is less than g(x) {for given (x)}.f(x) > g(x), means that expression f(x) is greater than g(x) {for given (x)}.f(x) = g(x), means that expression f(x) is equal to g(x) {for given (x)}.Given is the compound inequality as -
(x/3) ≤ -1
- 6 ≥ (x - 1)
The given inequalities are -
(x/3) ≤ -1 → x ≤ -3
-6 ≥ (x - 1) → x ≤ -5
The solution to the compound inequality as a single inequality will be -
x ≤ -3
Therefore, the solution to the compound inequality as a single inequality will be → x ≤ -3.
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Apple store is having a sale and all prices of iPhones are reduced by 35%. If an iPhone is now $714.35, what was the original price?
The original price of iPhones if the prices are reduced by 35% is $2,041
How to determine original price?Let
Original price = xSale price = $714.35Percentage discount = 35%Sale price = Original price - (Percentage discount × Original price
714.35 = x - (35% of x)
714.35 = x - 0.35x
714.35 = 0.65x
divide both sides by 0.65
x = 714.35 / 0.65
x = $2,041
In conclusion, the original price of iPhones after the discount is $2,041
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please help answer, i have no idea
Answer: 131
Step-by-step explanation: yes
A room has its floor dimensions as 8m by 6m. The floor is to be covered with carpet
which is sold by the metre from a roll 1 1/2 metres wide. How many metres of the carpet will be required to cover the floor completely without wastage?
The room floor has a rectangular dimensions with an area of 48 square metres and it will take 32 metres of the carpet to cover the floor completely without wastage.
How to calculate for the required metre of carpetThe floor has rectangular dimensions 8 m by 6 m such that:
area of the floor = 8 m × 6 m
area of the floor = 48 m²
Since the carpet roll is 1.5 metres wide;
48 m²/ 1.5 m = 32 m
Therefore, it will take 32 meters of the carpet to cover the rectangular floor with 8m by 6m dimensions completely without wastage.
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May someone help me on questions 3, and 6
please?
For the given question the two triangles are similar the length of side WX = XY.
What are similar triangles?Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.
The two triangles XWZ and XZY are similar triangles based on ASA criteria.
Since, the two triangles are similar the length of side are also equal.
Hence, WX = XY.
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