Answer:
snow
Step-by-step explanation:
In a certain shipment, the weights of twelve books average 2. 75 pounds. If one of books is removed, the weights of the remaining books average 2. 70 pounds. What was the weight, in pounds, of the book that was removed?
Answer:
Let's call the weight of the book that was removed "x".
The total weight of the twelve books can be represented as 12 times the average weight of 2.75 pounds:
12(2.75) = 33
After the book is removed, there are only 11 books left, and their total weight can be represented as 11 times the new average weight of 2.70 pounds:
11(2.70) = 29.7
We can set up an equation using these two expressions and the weight of the book that was removed:
33 - x = 29.7
Solving for x, we get:
x = 33 - 29.7
x = 3.3
Therefore, the weight of the book that was removed was 3.3 pounds.
help i will give brainlist.
Answer:
3m^4
Step-by-step explanation:
the third one
Answer:
The third option
Step-by-step explanation:
Exponents are the little numbers up and to the right. None of the other options have a little number (exponent) of 4
The difference of two numbers is 3. Their sum is 13. Find the numbers.
Answer:
Answer:
The two numbers are 8 and 5
Explanation:
8 - 5 = 3
8 + 5 = 13
Hope this helps!
Volume of a cube (cm') = width (cm) x height (cm) x length (cm). 1.1) Using the equation above, determine the volume of a cube that measures 3 cm wide, 3 cm tall, and 3 cm long. 1.2) Let's say this cube is made out of ice and has a mass of 24.76 grams (g). What is this ice cube's density? 1.3) The density of liquid water is slightly higher than that of frozen water ice. Liquid water's density at standard pressures and temperatures is 1.00 grams per cubic centimeter (g/cm'). Given that density, what is the mass of a cube of water measuring 3 cm wide, 3 cm tall, and 3 cm long? 1.4) Compare the weight of the water you calculated in question 1.3 with the weight of the ice of the same volume given in question 1.2. Which is heavier, the liquid water or the ice? Notice that the cube of water is the same size (or volume) as the cube of ice. 1.5) You know that ice floats on water. Explain why.
1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).
1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.
1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:
Volume = 3 cm x 3 cm x 3 cm = 27 cm³.
Therefore, the volume of the cube is 27 cubic centimeters.
1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:
Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.
Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).
1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:
Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.
Therefore, the mass of the water cube is 27 grams.
1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.
Therefore, the weight of the water and the ice would be the same under the same conditions.
1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.
When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.
In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.
Learn more about cube;
brainly.com/question/15420947
#SPJ4
Find the percent error of the measurement.
0.2 cm
A.
25%
B.
50%
C.
400%
Answer:
0.2
Step-by-step explanation:
Convert 6 Hours, 80 Minutes And 90 Seconds Into Milliseconds.
Answer: 40800000
Step-by-step explanation:
A, B and C lie on a straight line.
Given that angle
y
= 135° and angle
z
= 103°, work out
x
.
Answer:
x = 42
Step-by-step explanation:
a striaght line = 180°
z + y + x = 180
103 + 135 + x = 180
138 + x = 180
subtract 138 from both sides
138 - 138 + x = 180 - 138
x = 42
Answer:
what shape it is
Step-by-step explanation:
wat is the shape
find missing side of triangle, help!
Answer:
2√10 km
Step-by-step explanation:
By Pythagoras theorem,
x^2 + 9^2 = 11^2
x^2 + 81 = 121
x^2 = 121 - 81
x^2 = 40
= 4 x 10
x^2 = 2^2 x 10
x = 2√10 km
Answer 1 and 2 and i'll give brainliest as well.
Answer: h t t p s : / / w w w . y o u t u b e . c o m / w a t c h ?v = 3 8 D Q r c f _ 1 m o
you can thank me later
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180. Let x be the measure of the unknown angle in the figure
•Sequences and functions
( 10 points )
Please help me loves with the answer and understanding
•Please actually help me out I want to better understand this
•trolls will be reported
On 1 October 2015 Karen purchased freehold land and buildings for £480,000, of which the land element was £80,000. The buildings had a useful life of 25 years at the date of purchase. The residual value was nil.
On 1 October 2020 the land and buildings were revalued to £500,000, of which the land element was £100,000. There was no change in the useful life of the property.
According to IAS 16 Property, Plant and Equipment, what should be the depreciation charge for the year ended 30 September 2021 and the balance on the revaluation surplus as at that date?
A Depreciation charge £16,000; revaluation surplus £100,000
B Depreciation charge £20,000; revaluation surplus £100,000
C Depreciation charge £25,000; revaluation surplus £116,000
D Depreciation charge £20,000; revaluation surplus £116,000
Accoding to the calculations , the correct answer is:
A) Depreciation charge 16,000; revaluation surplus £20,000
According to IAS 16 Property, Plant and Equipment, the depreciation charge for an asset should be based on its carrying amount, useful life, and residual value.
In this case, the buildings were purchased for £400,000 (£480,000 - £80,000) and had a useful life of 25 years. Since there is no residual value, the depreciable amount is equal to the initial cost of the buildings (£400,000).
To calculate the annual depreciation charge, we divide the depreciable amount by the useful life:
£400,000 / 25 = £16,000
Therefore, the depreciation charge for the year ended 30 September 2021 is £16,000.
Now, let's calculate the balance on the revaluation surplus as at that date.
The revaluation surplus is the difference between the fair value of the property and its carrying amount. On 1 October 2020, the property was revalued to £500,000, and the carrying amount was £480,000 (£400,000 for buildings + £80,000 for land).
Revaluation surplus = Fair value - Carrying amount
Revaluation surplus = £500,000 - £480,000
Revaluation surplus = £20,000
Therefore, the balance on the revaluation surplus as at 30 September 2021 is £20,000.
Based on the calculations above, the correct answer is:
A) Depreciation charge £16,000; revaluation surplus £20,000
Learn more about Revaluation Surplus here :
https://brainly.com/question/32374882
#SPJ11
Find ∫ 8 0 f ( x ) d x if f ( x ) = { 6 if x < 6 x if x ≥ 6.
∫ 8 0 f ( x ) d x if f ( x ) = { 6 if x < 6 x if x ≥ 6 is ∫ 8 0 f ( x ) d x = 12.
THE INTEGRAL EXPRESSION∫ 8 0 f ( x ) d x = ∫ 8 0 { 6 if x < 6 x if x ≥ 6 } d x
= ∫ 6 0 6 d x + ∫ 8 6 x d x
= (6x)|6 0 + (1/2)x²|8 6
= (6*6) - (1/2)(8² - 6²)
= 36 - (1/2)(48)
= 36 - 24
= 12
Sure, the expression ∫ 8 0 f ( x ) d x is an integral, which represents the area under the curve of a function f(x) over a specific interval. The notation ∫b a f(x)dx means the definite integral of function f(x) from a to b.
INTEGRATION CONCEPTIntegration is a fundamental concept in calculus that deals with the problem of finding a function that represents the total amount of some changing quantity. The process of integration is the reverse of differentiation, which is the process of finding the rate of change of a function. An integral, the result of integration, is a mathematical object represented by a symbol such as ∫ (integral sign) and can be computed using various techniques such as substitution, integration by parts and partial fractions. The most common use of integration is in finding the area under a curve, which is known as definite integral, but integration can also be used to solve a wide range of problems in physics, engineering, and other fields.
Learn more about Integral Expression here:
https://brainly.com/question/27286394?referrer=searchResults
#SPJ4
*PLEASE HELP SOON* Use the laws of exponents to simplify each expression. Drag the tiles to the boxes to form the correct pairs.
Answer:
First one is 3^16
Second one is 3^10
Third one is 3^2 * 8^2
Forth one is 3^2/8^2
fifth one is 3^8/3^2
Step-by-step explanation:
Show that un r*cos n0, un = r" sin n0, n = 0, 1,, are solutions of Laplace's equation V2u = 0 with Vu given by (5). (What would un be in Cartesian coordinates? Experiment with small n.) 2u дө2- 1 ди 1 (5) r дr дr r
In the given problem, we are asked to show that the functions un = r*cos(n0) and un = r*sin(n0) are solutions to Laplace's equation V²u = 0, where Vu is given by the expression (5).
In Cartesian coordinates, the expression for un can be obtained by converting from polar coordinates. Using the relationships x = r*cos(θ) and y = r*sin(θ), we can express un in Cartesian coordinates as un = x*cos(n0) + y*sin(n0).
To verify that these functions satisfy Laplace's equation, we need to calculate the Laplacian of un with respect to x and y. The Laplacian operator is defined as V² = (∂²/∂x²) + (∂²/∂y²), where (∂²/∂x²) represents the second partial derivative with respect to x, and (∂²/∂y²) represents the second partial derivative with respect to y.
By applying the Laplacian operator to un = x*cos(n0) + y*sin(n0), we can evaluate (∂²un/∂x²) + (∂²un/∂y²) and show that it equals zero. This demonstrates that un satisfies Laplace's equation V²u = 0.
To experiment with small values of n, you can substitute different values into the expressions un = r*cos(n0) and un = r*sin(n0) and observe the resulting solutions in Cartesian coordinates.
Learn more about partial derivative here: https://brainly.com/question/32387059
#SPJ11
I honestly don't get this, need help
what do you need help with?
What is the best given estimate for pear 100g 10g 1kg or 10kg
The times of the runners in a marathon are normally distributed, with a mean of 3 hours and 50 minutes and a standard deviation of 30 minutes. What is the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes? Use the portion of the standard normal table below to help answer the question. z Probability 0.00 0.5000 0.50 0.6915 1.00 0.8413 2.00 0.9772 3.00 0.9987
Answer: 0.16
Step-by-step explanation:
Given that the run times provided are normally distributed ;
Mean(x) of distribution = 3 hours 50 minutes
Standard deviation(s) = 30 minutes
The probability that a randomly selected runner has a time less than or equal to 3 hours 20 minutes
3 hours 20 minutes = (3 hrs 50 mins - 30 mins):
This is equivalent to :
[mean(x) - 1 standard deviation]
z 1 standard deviation within the mean = 0.84
z, 1 standard deviation outside the mean equals:
P(1 - z value , 1standard deviation within the mean)
1 - 0.8413 = 0.1587
= 0.16
Answer:
A. 16%
Step-by-step explanation:
Hope that this helps. peace and love
Find the missing term ___,48,12,3
Answer:
192
Step-by-step explanation:
It’s the answer
In the one-way ANOVA, the within-groups variance estimate is like _________ in two-way ANOVA. A. the row variance estimate B. the within-cells variance estimate C. the column variance estimate D. the interaction variance estimate
In the one-way ANOVA, the within-groups variance estimate is equivalent to the within-cells variance estimate in the two-way ANOVA.
Option B is right choice.
In the one-way ANOVA, the within-groups variance estimate is equivalent to the within-cells variance estimate in the two-way ANOVA.
This is because both types of variance estimates measure the variation within groups or cells of the independent variable(s).
In a one-way ANOVA, the independent variable has only one factor or level, and the within-groups variance estimate measures the variation within each group or level of the factor.
This estimate reflects the extent to which the data points within each group deviate from the group mean.
In a two-way ANOVA, there are two independent variables or factors, and the within-cells variance estimate measures the variation within each combination of levels of the two factors.
This estimate reflects the extent to which the data points within each cell (or combination of factor levels) deviate from the mean of that cell.
Therefore, the within-cells variance estimate in the two-way ANOVA plays a similar role as the within-groups variance estimate in the one-way ANOVA.
Both estimates reflect the degree of variability within the groups or cells of the independent variable(s) and both are used to calculate the F-statistic and determine the statistical significance of the effects of the independent variable(s) on the dependent variable.
Option B is right choice.
For similar question on variance
https://brainly.com/question/13491340
#SPJ11
pls help <3 Triangle ABC has side lengths a = 79.1,b = 54.3, and c = 48.6 What is the measure of angle A
a.100.3°
b.42.5°
c.88.9°
d.37.2
Answer:
100.3 degrees.
Step-by-step explanation:
By the Cosine Rule:
a^2 = b^c + c^2 - 2bc cos A
cos A = (a^2 - b^2 - c*2) / (-2bc)
= (79.1^2 - 54.3^2 - 48.6^2) / (-2*54.3 * 48.6)
= -0.1793
A = 100.329 degrees
Which of the following are solutions to the equation below?
(2x+3)^2 = 10
Check all that apply.
Answer:
x = (√10 -3)/2 and (-√10 -3)/2
Step-by-step explanation:
(2x+3)^2 = 10
To solve the equation, take the square root of each side
sqrt((2x+3)^2) = ±√10
2x+3 = ±√10
Subtract 3 from each side
2x+3-3 = ±√10 -3
2x = ±√10 -3
Divide each side by 2
2x/2 = (±√10 -3)/2
x = (±√10 -3)/2
There are two solutions
x = (√10 -3)/2
and (-√10 -3)/2
Answer:
\(\large {\textsf{A and D}}\ \implies \sf \sf \bold{x_1}=\dfrac{-\sqrt{10}-3}{2},\ \bold{x_2}=\dfrac{\sqrt{10}-3}{2}\)
Step-by-step explanation:
Given: (2x + 3)² = 10
In order to find the solutions to the given equation, we can take the (square) roots of the equation to find the zeros, which are also known as the x-intercepts. This is where the zeros intersect the x-axis.
Note: when taking the square roots of a quadratic equation, remember to use both the positive and negative roots.
Step 1: Square both sides of the equation.
\(\sf \sqrt{(2x + 3)^2} = \sqrt{10}\\\\\Rightarrow 2x+3=\pm\sqrt{10}\)
Step 2: Separate into possible cases.
\(\sf x_1 \implies 2x+3=-\sqrt{10}\\\\x_2 \implies 2x+3=\sqrt{10}\)
Step 3: Solve for x in both cases.
\(\sf \bold{x_1} \implies 2x+3=-\sqrt{10}\ \ \textsf{[ Subtract 3 from both sides. ]}\\\\\Rightarrow 2x+3-3=-\sqrt{10}-3\\\\\Rightarrow 2x=-\sqrt{10}-3\ \ \textsf{[ Divide both sides by 2. ]}\\\\\Rightarrow \dfrac{2x}{2}=\dfrac{-\sqrt{10}-3}{2}\\\\\Rightarrow x_1=\dfrac{-\sqrt{10}-3}{2}\\\\\)
\(\sf \bold{x_2}\implies 2x+3=\sqrt{10}\ \ \textsf{[ Subtract 3 from both sides. ]}\\\\\Rightarrow 2x+3-3=\sqrt{10}-3\\\\\Rightarrow 2x=\sqrt{10}-3\ \ \textsf{[ Divide both sides by 2. ]}\\\\\Rightarrow \dfrac{2x}{2}=\dfrac{\sqrt{10}-3}{2}\\\\\Rightarrow x_2=\dfrac{\sqrt{10}-3}{2}\)
Therefore, the solutions to this quadratic equation are: \(\sf \bold{x_1}=\dfrac{-\sqrt{10}-3}{2},\ \bold{x_2}=\dfrac{\sqrt{10}-3}{2}\)
Learn more about quadratic equations here:
brainly.com/question/27031173
How many units are in the sum of the lengths of the two longest altitudes in a triangle with sides 8, 12, and 14
The sum of the lengths of the two longest altitudes in a triangle with sides 8, 12, and 14 would be \(12 + 14 = 26\) units.
In a triangle, the lengths of the two longest altitudes are equal to the lengths of the corresponding sides.
The sides in two different forms or polygons that are in the same position are said to have corresponding sides.
The two polygons have the same size and shape if they are congruent.
Congruence exists between the corresponding sides and angles.
So, the sum of the lengths of the two longest altitudes in a triangle with sides 8, 12, and 14 would be \(12 + 14 = 26\) units.
Know more about altitudes here:
https://brainly.com/question/1159693
#SPJ11
The sum of the lengths of the two longest altitudes in the triangle with sides 8, 12, and 14 is 17 units.
The sum of the lengths of the two longest altitudes in a triangle can be found using the formula:
Sum of altitudes = (a + b + c) / 2
In this case, the sides of the triangle are given as 8, 12, and 14 units.
The longest altitude in a triangle is the altitude drawn from the longest side. So, we need to find the longest side in the given triangle.
To do that, we can arrange the sides in descending order: 14, 12, 8.
Now, we can use the formula to find the sum of the lengths of the two longest altitudes:
Sum of altitudes = (14 + 12 + 8) / 2 = 34 / 2 = 17 units
Learn more about triangle :
https://brainly.com/question/2773823
#SPJ11
Which coordinates identify a location north of a city that has a latitude of 38. 0°n and a longitude of 25. 0°w?.
Using translation concepts, y-coordinates greater than 38 identify a location north of the city.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Considering latitude and longitude, the coordinates of a city are given as follows:
(LON, LAT).
Hence, the given city has coordinates given by:
(25, 38)
As we move north, the latitude increases, hence, y-coordinates greater than 38 identify a location north of the city.
More can be learned about translation concepts at https://brainly.com/question/4521517
#SPJ1
help please (not hard but I dont understand lol)
Answer:
C
Step-by-step explanation:
Function
\(f(x) = 1.5x\)
(22, 33) is a valid point in this line, therefore it's (22, 33), aka option C
(a) write an equation that defines the exponential function with base = a, (a > 0). A. R
B. (−[infinity],a)
C. (a,[infinity])
D. (0,[infinity])
(c) If a≠1, what is the range of this function?
A. (0,[infinity])
B. (−[infinity],a)
C. (a,[infinity])
D. R
The equation that defines the exponential function with base = a, (a > 0) is y = aˣ. The range of this function is (0, ∞), if a≠1. Therefore, option A. is correct.
To write an equation that defines the exponential function with base = a (a > 0), the equation is:
f(x) = aˣ
If a≠1, the range of this function is (0, ∞) because the function is always positive and approaches infinity as x approaches infinity, but never reaches zero.
This is because an exponential function with a base greater than 0 and not equal to 1 will always have positive outputs, and as x increases, the function will approach infinity. Conversely, as x decreases, the function will approach 0 but never actually reach it.
Therefore, the correct option is A. (0, ∞).
Learn more about function:
https://brainly.com/question/2328150
#SPJ11
someone help ASAP I need the find the graph equation for this question
Answer:
In order to find the graph equation, we can use the points given:
(0,1) (-1,4) (1,-2)
(slope between (0,1) (1,-2): -3)
y = mx + b or y = -3x + 1
Four college roommates rented an apartment together. When they
moved out, they were charged $1500 for damages to the carpet
and walls. The roommates agreed to equally share the cost.
What integer represents how much each person will have to pay?
Answer:
Step-by-step explanation:
What we do is to divide 1500 by 4 = $1500/4 = $375
Answer:375
Step-by-step explanation:
1500/4=375
what is 3p+7q-p-4q symplifide
Answer:
2p+3q
Step-by-step explanation:
3p+7q-p-4q
2p+3q
hope it is helpful
find the coordinate of the points on the cardioid r 1 cos at which there is a horizontal tangent line, a vertical tangent line, or a singular point.
A cardioid is a mathematical curve that is commonly studied in geometry and calculus. It is defined by the equation r = 1 + cos(θ), where r is the radial distance from the origin and θ is the polar angle. The cardioid has a distinctive heart-shaped form, and it is a smooth curve that can have tangent lines at certain points.
Horizontal Tangent Line:
A horizontal tangent line is a tangent line that is parallel to the x-axis. To find the points on the cardioid at which there is a horizontal tangent line, we need to find the points where the derivative of the curve is equal to zero in the x direction. The derivative of r = 1 + cos(θ) with respect to θ is -sin(θ), and the derivative of r with respect to x is cos(θ). Setting these two derivatives equal to zero, we have:
-sin(θ) = 0
cos(θ) = 0
The first equation has a solution when θ = n * π, where n is an integer. The second equation has solutions when θ = (2n + 1) * π/2, where n is an integer. When θ = n * π, the cardioid is at its maximum value, and when θ = (2n + 1) * π/2, the cardioid is at its minimum value. These points correspond to horizontal tangent lines on the cardioid.
Vertical Tangent Line:
A vertical tangent line is a tangent line that is perpendicular to the x-axis. To find the points on the cardioid at which there is a vertical tangent line, we need to find the points where the derivative of the curve is equal to zero in the y direction. The derivative of r with respect to y is sin(θ), and setting this derivative equal to zero, we have:
sin(θ) = 0
This equation has solutions when θ = (2n) * π/2, where n is an integer. These points correspond to vertical tangent lines on the cardioid.
Singular Point:
A singular point is a point on the curve at which the curve is not smooth and its tangent line is undefined. To find the singular points on the cardioid, we need to find the points where the second derivative of the curve is equal to zero. The second derivative of r = 1 + cos(θ) with respect to θ is -cos(θ), and setting this derivative equal to zero, we have:
-cos(θ) = 0
This equation has solutions when θ = n * π, where n is an integer. These points correspond to singular points on the cardioid.
In conclusion, the points on the cardioid at which there is a horizontal tangent line are given by θ = n * π and θ = (2n + 1) * π/2. The points at which there is a vertical tangent line are given by θ = (2n) * π/2. The singular points are given by θ = n * π. These points can be used to study the properties and behavior of the cardioid in more detail.
Here you can learn more about the cardioid
https://brainly.com/question/29556891#
#SPJ11
An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated. (True or False)
The statement "An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated" is False.
Consistency is an important property of estimators in statistics. An estimator is consistent if its value approaches the true value of the parameter being estimated as the sample size increases.
In other words, if we repeatedly take samples from the population and compute the estimator, the values we obtain will be close to the true parameter value.
This is an essential characteristic of a good estimator, as it ensures that as more data is collected, the estimation error decreases.
However, as the sample size decreases, the value of the estimator is more likely to deviate from the true value of the parameter. The reason for this is that a small sample size may not be representative of the population, and as a result, the estimation error may increase.
As a consequence, the statement is false. In conclusion, consistency is a property that an estimator possesses when its value converges to the true value of the parameter as the sample size grows.
As the sample size decreases, the estimator may become less reliable, leading to an increase in the estimation error.
For similar question on parameter:
https://brainly.com/question/12393177
#SPJ11