The new weight at the end of the day will be = 450000-9000 = 441000 Pounds.
The current weight of the Iceberg = 450,000 pounds
Percentage decrease in weight every day = 0.2%
So, for determining the value of the percentage decrease in the weight, we need to first find the value of 2% of 450000
For converting the value given in percentage to the fraction value we will divide the given number by 100.
So, the value 2% can be written as (2/100)
Now calculate the value of 2% of 450000
We will get it as:
(2/100)*450000 = (2*4500) = 9000 Pounds.
After a day, the weight of the iceberg decreases by 9000 Pounds
So, for determining the value of weight at the end of the day, we will subtract the value decreased during the day from the value of weight at the start of the day.
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How do you draw a graph?
To see the steps of Draw a graph.
Now, According to the question:
What is called graph?
A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things.
These are the steps of draw a graph:
Step 1: Identify the variables.
Step 2: Determine the variable range.
Step 3: Determine the scale of the graph.
Step 4: Number and label each axis and title the graph.
Step 5: Determine the data points and plot on the graph.
Step 6: Draw the graph.
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Can someone explain what I also have to do?
When you simplify an ordered pair, if the obtained y-value matches the y-value in the ordered pair, then the ordered pair is in fact a solution to the equation. C Both (-2,13) and (-1,7).
Which ordered pair is a solution of the equation?You can run a test to determine whether an ordered pair is a solution to an equation.The ordered pair's x-value should be located, and it should be entered into the equation.
When you simplify an ordered pair, if the obtained y-value matches the y-value in the ordered pair, then the ordered pair is in fact a solution to the equation.
C Both (-2,13) and (-1,7). Check to see if the provided equation points work by trying them out.
y = -6x +1
For (-2, 13):
13 = -6(-2) (-2)
+1 = 12
+1 . . . . true
For (-1. 7):\s7 = -6(-1) (-1)
+1 = 6
+1 . . true
Both ordered pairs are solutions.
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A term is a constant, a variable, or a ___ of numbers and variables.
A term is a constant, a variable, or a product of numbers and variables.
What is variable?A symbol (typically a letter) used in algebra to represent an unknowable numerical value in an equation or algebraic expression. A variable can be defined as a quantity that is changeable and not fixed. A variable in mathematics is an alphabet or term that stands in for an unknowable quantity, unknowable value, or unknowable number. Particularly in the case of algebraic expressions or algebra, the variables are used. As an illustration, the linear equation x+9=4 has the variables x and 9 as constants.
Here,
A term can be a number, a constant, a variable, or the product of a number and a variable.
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What is the population standard deviation? {5,8,8,5} Enter your answer as a decimal, rounded to the nearest tenth, like this: 4.2
The population standard deviation of {5, 8, 8, 5} is 3
What is standard deviation?A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
here, we have.
The given population is
{5, 8, 8, 5}
The mean of the population = Sum of the terms / Number of Terms
Find the values and substitute the values in the equation
Sum of terms = 5 + 8 + 8 +5
= 26
Number of terms = 4
The mean of the population= 26 / 4
= 6.5
The variance of the population
= (5 - 6.5)^2 + (8 - 6.5)^2 + (8 - 6.5)^2 + (5 - 6.5)^2
= (-1.5)^2 + (1.5)^2 + 1.5^2 + (-1.5)^2
= 2.25 + 2.25 + 2.25 + 2.25
= 9
The standard deviation of the population =
= 3
Therefore, the standard deviation is 3.
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What is the value of StartFraction 1 Over 6 Superscript 0 EndFraction?
Answer:
[tex]\frac{1}{6^0} = \frac{1}{1} = 1[/tex]
Step-by-step explanation:
If I understand the question correctly, the fraction is [tex]\frac{1}{6^0}[/tex]. To solve it, we need to first (according to PEMDAS) do 6⁰, which is of course equal to 1. Then 1 divided by 1 is 1.
What is the value of t in the following equation?
t + 14 = 2 7/12
A. t = 37
B. t = 123
C. t = 213
D. t = 323
these are fractions
By calculating the value of given expression is -137/ 12 .
What is Algebraic expression ?
Algebraic expression can be defined as the combination of variables and constants .
Given ,
expression t + 14 = 2 7/12
t+14 = (2*12 + 7 ) / 12
So by sending 12 in LHS we get,
t+14 = 24+7 / 12
t+14 = 31/ 12
12 ( t+14) = 31
multiplying 12 on LHS
12 t + 12*14 = 31
12t = 31-168
12 t = -137
t = -137 / 12
Hence, the value of given expression is -137/ 12 .
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At a certain high school the distribution of backpack weight is approximately normal with mean 19.7 pounds and standard deviation 31 pounds. A random sample of backpacks will be selected, and the weight, in pounds, of each backpack will be recorded. For samples of size 5, which of the following is the best interpretation of P(x > 22) = 0,067 The probabilty that each of the backpacks selected will have a wright above 22 pounds is approximately 0.05. The probability that each of the Shackpacks bected will have a weight above 19.7 pounds is approximately 0.05. c) The probability that the population mean in greater than 22 pounds is approximately 0.05 D) For al samples of size 5, approximately 5% of the sample will have a probability greater than 22 pounds E For all samples of size 5. the probability that the sample mean will be greater than 22 pounds is approximately 05,
Answer:
45 grapes
Step-by-step explanation:
23
I NEED HELP PLEASE A 25,000-mile steel band is placed around the earth, snugly fit at the equator. The band is cut, and 36 inches of string is spliced into the steel band. This new, larger circular band is placed around the earth, so its center coincides with the center of the earth, and a gap is created. How wide is this gap?
When you have finished, post your work showing the formula used for calculating the gap (g), show all calculations solving for g (gap), and a statement interpreting the results of your work.
The gap is approximately 259,854.9 inches wide.
What is the circumference of a circle?
The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius of the circle.
The Earth's equator has a circumference of about 24,901 miles. The new circular band has a circumference of 25,036 inches.
When the steel band was cut and spliced, it increased the circumference by 36 inches. Since the circumference is directly related to the diameter, the new band is also larger in diameter than the original band.
We can use this increase in circumference to find the increase in diameter:
25,036 inches / 2π = 3957.1 inches
24,901 miles * 12 inches/mile = 298,812 inches
The gap is the difference between the two diameters:
298,812 inches - 3957.1 inches = 259,854.9 inches
Hence, The gap is approximately 259,854.9 inches wide.
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PLS DO NUMBER 10 WILL MARK BRAINLY AND ALSO GIVE AN ADDITIONAL 100 PTS IF CORRECT PLS HURRY. THANK YOU
The answers to all the parts is given above.
What is direct variation? What is scale factor?Direct variation of {y} with {x} means that as {x} increases, {y} increases uniformly with it. Mathematically -
{K} = y/x = constant .... Eq{ 1 }
Scale factor {K} is a dimensionless value that indicates the constant ratio value indicating direct variation.
Given is a table as shown in question 10 of the given image.
{ 1 } -
We can write Jake's rate of change of grade per hour studied as -
{r} = (91 - 84)/(2 - 1)
{r} = 7/1
{r} = 7
{ 2 } -
We can write Howie's rate of change of grade per hour studied as -
{r} = {(91 + 6) - 84}/(2 - 1)
{r} = 13
Therefore, the answers to all the parts is given above.
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Find the measure of < FGE
Answer: 62°
Step-by-step explanation:
Exterior angle property.
130 = 16x + 4 + 14x + 6
130 = 30x + 10
30x = 120
x = 4
Therefore, ∠FGE = 14 x 4 + 6 = 62°
Cheers!
Write the function x3 - 6x^2 - x + 30 in factored form knowing that one of the roots is 5
Group of answer choices
(x - 5)(x -2)(x + 3)
(x + 5)(x - 2)(x + 3)
(x + 5)(x + 2)(x - 3)
(x - 5)(x + 2)(x - 3)
The required factors of the given expression x³ - 6x² - x + 30 is (x - 5)(x + 2)(x -3). Option D is correct.
What are the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
Here,
Gien expression,
= x³ - 6x² - x + 30
= (x - 5)(x + 2)(x -3)
Thus, the required factors of the given expression x³ - 6x² - x + 30 is (x - 5)(x + 2)(x -3).
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f (x)=3x-5 find f (2)
The value of the function f(x) = 3x - 5 when x = 2 is f(2) = 1
What is a function?A function is a mathematical equation that shows the relationship between two variables.
How to find the value of the function?Given the function f(x) = 3x - 5, we desire to find f(2).
To find f(2), we substitute x = 2 into the equation. So, we have that
f(x) = 3x - 5. So substituting x = 2 into the equation, w ehave
f(2) = 3(2) - 5
f(2) = 6 - 5
f(2) = 1
So, the value of the function f(x) = 3x - 5 when x = 2 is f(2) = 1
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find the length s of the arc that subtends a central angle of measure 5 rad in a circle of radius 4 cm.
The length of the arc that subtends a central angle of measure 5 rad in a circle of radius 4 cm is = 20cm
In geometry, the portion of a circle's circumference that is stated between two points on the circumference of the circle is known as an arc. If a circle has a radius equal to r units and the arc subtends an angle θ radians at the center of the circle, the length of this arc is calculated as s =r⋅θ.
According to the question,
The length of an arc of a circle whose radius is 4 cm and θ=5rad is equal to
s= 5 ×4cm
=20cm
Hence, the length of the arc is 20cm.
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Height=0.6 width=0.8 length=1.8 volume
Answer: 0.864
Step-by-step explanation:
0.6 x 0.8 x 1.8 = 0.864
4.) Harrison has $195 and wants to buy some
LOST
new clothes. He is buying a new pair of
shoes that cost $75 and the rest of his
money he wants to spend on t-shirts that
cost $20 each. Write an inequality that can
be used to determine how many shirts he
can buy, then solve the inequality.
AP.8A-
10.6
120-20-6
Answer: quizlet has all the answers
Step-by-step explanation:
What is negative logarithm?
A negative logarithm represents the amount of times to divide it by. [tex]log \left(\frac{1}{a}\right) = -log a[/tex] denotes that the negative logarithm of a number is equal to the logarithm of 1 divided by that number.
The alternative to using exponents is to use logarithms. A number's logarithm with a base is equivalent to another number. Exponentiation's opposing function is a logarithm.
In mathematics, a logarithm is the power to which a number must be raised in order to obtain other numbers. It's the most useful methodology for representing huge numbers.
A logarithm contains a number of significant characteristics that demonstrate that addition and subtraction logarithms can also be used to represent the multiplication and division of logarithms.
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which of the following are solutions to the quadratic equation? check all that apply. x^2+8x+16=7
The solutions to the quadratic equation are -
{x} = - 6.646 and {x} = - 1.354.
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.Given is the quadratic equation as -
x² + 8x + 16 = 7
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.The set X is called the domain of the function and the set Y is called the codomain of the function.A quadratic function is of the form → y = f(x) = ax² + bx + c.The given quadratic equation is -
x² + 8x + 16 = 7
x² + 8x + 9 = 0
Solving the equation graphically, we get -
x = - 6.646 and x = - 1.354
Therefore, the solutions to the quadratic equation are -
{x} = - 6.646 and {x} = - 1.354.
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A traditional economy is an economy where ______
Economic decisions are based on traditions culture and beliefs
When making economic decisions, a traditional economy looks to cultural traditions, beliefs, and other tenets.
Where is the traditional economy based?Brazil, Haiti, Alaska, Yemen, Canada, and Greenland were classified as traditional economies by The World Population Review in 2022. The Middle East, Asia, Africa, and Latin America are the regions with the most traditional economic systems.In a traditional economy, people make decisions regarding their financial well-being based on their traditions and routines. As their forefathers did, they often use farming or hunting to satiate their needs and desires. Most people in traditional economies do not wish to alter their fundamental way of life.This kind of economic structure is frequently found in rural, agricultural nations. A traditional economy is one that relies on bartering and trading, also referred to as a subsistence economy. A small amount of excess is created, along with any excess goods.To learn more about economic refer to:
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It is an angle whose vertex is on the circle and whose sides contain chords of the circle.
A. central angle
B. inscribed angle
C. chord
D. intercepted arc
The correct answer is B. inscribed angle
An inscribed angle is an angle whose vertex is on the circle and whose sides contain chords of the circle. It is formed by two chords of a circle that intersect at a single point within the circle.
A central angle is an angle whose vertex is the center of a circle and whose sides contain points on the circumference of the circle.
A chord is a straight line segment that connects two points on the circumference of a circle.
An intercepted arc is an arc of a circle that lies between two points on the circle and is bounded by two intersecting chords.
Therefore, inscribed angle is an angle whose vertex is on the circle and whose sides contain chords of the circle.
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Round to the nearest thousandth
The population was 6.98 million in 1900. The population of New York decreased with respect to time.
What is an exponential function?
An exponential function is a mathematical function with the formula f (x) = axe, where "x" is a variable and "a" is a constant that is called the function's base and must be greater than zero. The transcendental number e, which is approximately equal to 2.71828, is the most commonly used exponential function base.
The population of New York state can be modeled by
[tex]P(t)=\frac{19.71}{1+61.22e^{-0.03513t}}[/tex]
P is the population and t is the number of years since 1800.
The difference between the year 1900 to 1800 is 100.
Putting t = 100 in the given model:
[tex]P(t)=\frac{19.71}{1+61.22e^{-0.03513\times 100}}[/tex]
[tex]P(t)=\frac{19.71}{1+61.22e^{-3.513}}[/tex]
P(t) = 19.71/2.8248
P(t) = 6.9774
P(t) = 6.977 (rounded to the nearest thousands)
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Learning Task 2: Get the quotient of each item up to the nearest ten thousandthis place
Then, round the decimals to their nearest thousandths. Number 1 is done for you
1. 45 + 8 = 5. 6250 5. 625
2. 77 + 9 =
3. 81 +7=
4. 93+9 =
5. 88 + 7=
6. 55 + 8 =
A quotient in mathematics is the amount created by dividing two numbers.
The term "quotient" is used frequently in mathematics and is used to describe the integer component of a division (in the case of Euclidean division), as well as a fraction or a ratio (in the case of proper division).
Following are the decimals to their nearest thousandths:
45 ÷ 8 = 5.6250 ⇒ 5.62577 ÷ 9 = 8.5555 ⇒ 8.55681 ÷ 7 = 11.57142 ⇒ 11.57293 ÷ 9 = 10.3333 ⇒ 10.33488 ÷ 7 = 12.57142 ⇒ 12.57255 ÷ 8 = 6.8750 ⇒ 6.875When a number is rounded to the closest thousand, it is changed to an approximated value that is simpler to recall and utilize. The closest value to the supplied integer is this value, which is a multiple of 1000. For instance, 342984 becomes 343000 if it is rounded to the closest thousand.
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Mike made 56 of his free throw attempts and Lisa made 79 of her free throw attempts. Choose two fractions that show 56 and 79 written with a common denominator. A. 1018 B. 1418 C. 1518 D. 2736 E. 3036
The two fractions that show 5/6 and 7/9 written with a common denominator are C. 15/18 and B. 14/18, respectively.
A fraction is a way of expressing a part of a whole. It is represented by two numbers written one above the other, with a horizontal line separating them.
The number on top is called the numerator and represents the number of parts being considered. The number on the bottom is called the denominator and represents the total number of parts in the whole.
To determine the fractions that shows 5/6 and 7/9 written with a common denominator, find the common multiples of their denominator.
multiples of 6 and 9 : 18, 36, 54, . . .
These multiples will now be the new denominator. Divide the multiple by the denominator, and multiply by the numerator to have the new numerator.
5/6 = 15/18 = 30/36
7/9 = 14/18 = 28/36
Hence, the answer is C. 15/18 and B. 14/18.
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How do you find the value of k in a polynomial class 10?
In order for (x - k) to be a factor of f(x), it must also be a zero of f(x). An integer-coefficient polynomial function's rational zeros are equal to the constant term's factor divided by the leading coefficient's factor.
What is polynomials?When exponents, constants, and variables are joined using mathematical operations like addition, subtraction, multiplication, and division, the result is a polynomial (No division operation by a variable).
Exponents that may be added, subtracted, or multiplied are a part of algebraic expressions called polynomials.Different forms of polynomials exist. linear equations with monomial coefficientsa polynomial with a single term called a monomial.Binomial quadratic equation (A binomial is a polynomial with two, unlike terms).To learn more about polynomials here:-
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In the space provided below, simplify the expression (square root of -144). Leave your answer in simplest radical form, if necessary. Show all work and write your response in the space provided below.
pls help im so lost
Answer: 12i
Step-by-step explanation:
you cannot square root a negative number, therefore take the negative out of 144
[tex]\sqrt{-1} \sqrt{144}[/tex]
The square root of negative 1 is equal to the imaginary number i
[tex]i \sqrt{144}[/tex]
The square root of 144 is 12
[tex]12i[/tex]
what is the area of a right triangle with a height of 8.9 cm and a base of 14.3 cm
Answer: 63.635 cm^2
Step-by-step explanation:
A right triangle is equal to half the area of a square or rectangle(length x width).
Thinking of the triangle as a rectangle first gives:
8.9 x 14.3 = 127.27
Now, a right triangle is half of this:
127.27 / 2 = 63.635
Pls help me I’m stuck :(
Answer:600
Step-by-step explanation:
850 - 250 = 600
what intersects a circle at exactly one point and creates a right angle to the radius?
The line that intersects a circle at exactly one point and creates a right angle to the radius is called the Tangent .
What is Tangent ?
The tangent can be defined as a line that touches the circle at exactly one point .
The properties of tangent Lines are :
(i) The point where tangent line meets circle is called as the point of tangency.
(ii) The tangent line is perpendicular to the radius of circle, with which it intersects, that means , a right angle is created at the meeting point .
(iii) There is exactly one tangent that can touch the circle at any given point .
Therefore , by the property of tangent to circle , we can say that , Tangent intersects a circle at exactly one point creates right angle to radius .
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in a regular icosagon ($20$-sided polygon), all the diagonals are drawn. if a diagonal is selected at random, what is the probability of selecting a diagonal that is neither the shortest possible length nor the longest possible length? express your answer as a common fraction.
The probability of selection of diagonal which is not shortest nor longest is 13/17.
We know very well that Icosagon has 20 sides.
If any diagonal is possible, it can be possible by connecting two points, so to choose r objects from n objects can be done by ⁿ [tex]C_{r}[/tex] = [tex]\frac{n!}{r! (n-r)!}[/tex]
So, number of ways to choose diagonal = [tex]^2^0C_{2}[/tex]
After that we need to subtract 20 ways as single point can lead to diagonal making.
So, total number of ways to choose 20 diagonals = 170
Now, talking about the shorter diagonal
so, shorter diagonal =Diagonal connecting(A₁A₃, A₂A₄,.....) =20 diagonals.
Now, talking about longer diagonal=Diagonal connecting(A₁A₈,A₂A₉.........) = 20 diagonals
So, we have total chances of ⁿ [tex]C_{r}[/tex] = [tex]\frac{n!}{r! (n-r)!}[/tex] and possible number of chances of selection of shorter and longer diagonal
So, according to the formula,
Probability= Favorable outcome /Total outcome
Probability = [(Total ways to select diagonals - (Ways to select shorter diagonal) - Ways to select longer diagonal)]/(Total number of ways)
Probability = (170-20-20)/170
Probability = 130/170
Probability = 13/17
Hence, the probability of selecting a diagonal such that it is not shortest nor longest is 13/17.
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Mr. Angelou moved closer to his family. He used to live 89 miles away and now purchased a home 51 miles away from his family. What is the percent decrease in distance from his home to his family now? Be sure to round to the nearest hundredth.
The percentage decrease in the distance from his home to his family is 42.69%.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Mr. Angelou moved closer to his family. He used to live 89 miles away and now purchased a home 51 miles away from his family.
The percentage decrease will be calculated as,
Percentage decrease = ( 89 - 51 ) / ( 89 )
Percentage decrease = 38 / 89
Percentage decrease = 42.69%
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How do you solve a log table?
Without a calculator, larger computations such as squares, roots, multiplication, and division can be made using a log table also known as a logarithm table.
A log table for a given base is a table of logarithms that is used to determine the base-dependent logarithm of a given number. For different bases, such as 10, e (Euler's number), 2, etc., there are several log tables.
The logarithm table provides the quickest method for exactly determining a number's log value. The exponential function is thought of as the inverse of the logarithmic function.
Any number's logarithm has two components: the characteristic and the mantissa. A decimal point always separates these two components.
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