To complete the table, we can simply multiply the number of calories by 0.239 to find the equivalent amount of Joules.
The equation relates Joules to calories as j = 0.239c, where c stands for calories and j stands for joules. For example, 1 calorie is equal to 0.239 Joules, 2 calories is equal to 0.478 Joules, and so on.
Joules (j) Calories (c)
0.239c 1
0.478c 2
0.717c 3
0.956c 4
1.195c 5
1.434c 6
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Can anyone help with the answer
The height of the tree to the nearest hundredth of metres is 2.03 metres.
How to find the height of a tree?Emily is 1.65 metres tall. At 3 pm she measure the length of a tree's shadow to be 28.15 metres . She stands 22.9 metres away from the tree, so that the tip of her shadow meet the tip of the tree shadow.
Therefore, the height of the tree to the nearest hundredth of metres can be calculated as follows:
using proportion,
let
x = height of the tree
Therefore,
1.65 / 22.9 = x / 28.15
cross multiply
28.15 × 1.65 = 22.9 × x
22.9x = 46.4475
divide both sides by 22.9
x = 46.4475 / 22.9
x = 2.02827510917
x = 2.03 metres
Therefore,
height of tree = 2.03 metres
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Please help ASAP this is for a final test
A line which is perpendicular to this line would have a slope of ___.
Write your answer as a whole number or simplified fraction or improper fraction (not a decimal or mixed number). Use a / for a fraction bar.
Answer: I'm sorry bro i don't know
Step-by-step explanation:
The vertices of triangle ABC have coordinates A(-2,-1) B(10,-1) and C(4,4). Determine and state the area of triangle ABC
last month greg arrived late to work 3 out of 21 days his boss used this information to determine the probability of greg being late again. which pair of probabilites is correct
The probability of Greg being late again, along with the type of probability, is given as follows:
1/7, experimental probability.
How to obtain a probability?A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
In the context of this problem, the outcomes are given as follows:
Desired: Greg being late, 3 times.Total outcomes: 21 times that Greg went to work.The probability of Greg being late is then calculated as follows:
3/21 = 1/7.
Which is an experimental probability, as the number of outcomes are taken from previous "experiments".
The other type of probability is theoretical, for example, a fair coin has a 50% chance of falling heads and 50% change of falling tails.
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If you are doing a linear regression, what is the slope of the line predicted by the null hypothesis?
The null hypothesis is that the linear regression model does not exist. This essentially means that the value of all the coefficients is equal to zero.
What is the null hypothesis?
The null hypothesis is a common statistical theory that contends that there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable.
Here,
We have to find out the slope of the line predicted by the null hypothesis if we are doing a linear regression.
We concluded that the null hypothesis states that the slope is equal to zero, and the alternative hypothesis states that the slope is not equal to zero.
Hence, the null hypothesis is that the linear regression model does not exist. This essentially means that the value of all the coefficients is equal to zero.
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A. To wash the first window, Roger extends the
ladder to 20 feet long. He places the base of
the ladder 6 feet from the side of the house.
Sketch a labeled picture of this to the right.
B. How far up the house will the 20-foot ladder
reach, to the nearest tenth of a foot? Show your
work in the space to the right.
Circles centered at $A$ and $B$ each have radius 2, as shown. Point $O$ is the midpoint of $\overline{AB}$, and $OA
The distance between the two circles is 5.
The distance between two circles is the difference between the sum of their radii and the distance between their centers. In the given diagram, the radius of the circles centered at $A$ and $B$ is 2, and the distance between their centers is the length of $\overline{AB}$, which is 5. Therefore, the distance between the two circles is 5 - (2 + 2) = 5.
The distance between the two circles is 5.
The distance between two circles is the difference between the sum of their radii and the distance between their centers.
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What is included in an individual's personal assets 3 options?
Three options which are included in an individual's personal assets are cash amount , property in any form and any other investment which can be converted cash in future.
Individual personal assets are defined as the things which represents some value in the present and future time.Three options which represents the individual personal assets are cash amount , property in any form, and the investment converted into cash.Cash amount already represents the physical value for the present and future use.Property in any form can be converted into cash in present and future use.Investment can be in many form such as policies , electronics items, jewelry and many other options can easily be converted into cash for present and future use.Therefore, the three options representing the individuals personal assets are cash amount, property in any form, and investment converted into cash.
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Don’t know just need help with answer
The length AB is 15.
What is length ?
Distance is measured by length. The quantity of length has the dimension of distance in the International System of Quantities. Most measurement systems choose a base unit for length from which all other units are derived. The metre serves as the fundamental unit of length in the International System of Units.
The definition of length is the measurement or extent of something from end to end. In other terms, it is the largest of the two or the highest of the three dimensions of geometrical forms or objects.
In contrast to width, which is used to gauge an object's width from side to side, length is used to gauge an object's length from one end to the other.
As it is a isosceles the two sides are equal
5x = 4x + 3
x = 3
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In a survey of 1,500 people who owned a certain type of car, 750 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
If in a survey of 1,500 people who owned a certain type of car, 750 said they would buy that type of car again, the percent of people surveyed who were satisfied with the car is 50%.
To find the percent of people surveyed who were satisfied with the car, we can use the following formula:
percent satisfied = (number of satisfied people / total number of people surveyed) x 100
In this case, the number of satisfied people is 750 and the total number of people surveyed is 1,500. So we have:
percent satisfied = (750 / 1,500) x 100 = 0.5 x 100 = 50%
So, 50% of the people surveyed were satisfied with the car.
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What is e called in log e?
The term Euler's number (e) refers to a mathematical expression for the base of the natural logarithm. This is represented by a non-repeating number that never ends.
The first few digits of Euler's number are 2.71828.
Given log(base_12)1728,
where base = 12
1728 = x
Factor out 1728 to 12^3 to apply the logarithmic rule, log(base_b)b^n = n
This gives you:
log(base_12)(12^3) = 3
The base 12 and the value of x = 12 cancels out, leaving you with 3.
To help determine the order of operations and other aspects of logical syntax, mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.
To find which expression is equivalent to log₅32:
Law of logarithms:
The law of logarithms states that: log(a) b = log(10)b/log(10)a
Given the log function, which is written as log₅32
a = 5
b = 32
Substitute as: log₅32 = log32/log5
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what is the answer 6u+2(u-8) - 4
Answer:
8u - 20
Step-by-step explanation:
Please help!!! Very confused on my homework.
The tank is completely filled with water and then drains completely into the pool. The volume of the cylindrical tank is v1=36pir2/1 where r1 is the radius of the tank in feet.
PROBLEM IS ON THE ATTACHMENT!
Step-by-step explanation:
we need to use both equations for the volumes.
the only variables in them are r1 and r2.
when we say both results (volumes) are equal, that means we can create an equation with one formula on one side and the other formula on the other side.
and then we can easily transform the equation into "r1 = ..." or "r2 = ..."
and yes, your teacher made a mistake by hinting to solve for r1 in a. and b. it is r1 in a. and r2 in b.
a.
the goal here is an equation in the form
"r1 = ..."
that means r1 is a function of r2.
36×pi×r1² = 1/2 × 4/3 × pi × r2³ = 4/6 × pi × r2³ =
= 2/3 × pi × r2³
36 × r1² = 2/3 × r2³
r1² = (2/3 / 36) × r2³ = (1/(3×18)) × r2³ = 1/54 × r2³
r1 = sqrt(1/54 × r2³) = 1/3 × sqrt(1/6 × r2³)
b.
the goal here is
"r2 = ..."
again
36×pi×r1² = 2/3 × pi × r2³
36 × r1² = 2/3 × r2³
3×36 × r1² = 2 × r2³
3×18 × r1² = r2³
54 × r1² = r2³
[tex]r2 = \sqrt[3]{54 \times {r1}^{2} } = 3 \times \sqrt[3]{2 \times {r1}^{2} } [/tex]
c.
r2 is doubled.
so, we have to go back to our equation of a.
r1 = sqrt(1/54 × r2³).
when r2 is doubled, we get
r1 = sqrt(1/54 × (2×r2)³) = sqrt(1/54 × 8 × r2³) =
= sqrt(8) × sqrt(1/54 × r2³)
so, when r2 doubles, r1 has to grow by the factor of sqrt(8) to keep the equality intact.
Is 2025 a perfect square Yes or no?
EXPLANATION
2025 is a perfect square number hence we can determine its square root. 45 is the square root of 2025 as 45 multiplied by 45 gives the number 2025. Interestingly, – 45 × – 45 is also 2025. Hence It is represented as √2025 = 土45.
if logx 27 +logy 4 =5 and log x 27 -logy 4=1 find x and y
Answer:
[tex](x,y)\rightarrow(3,2)[/tex]
Step-by-step explanation:
I assume you mean [tex]\log_x(27)+\log_y(4)=5[/tex] and [tex]\log_x(27)-\log_y(4)=1[/tex]:
[tex]\biggr(\log_x(27)+\log_y(4)\biggr)-\biggr(\log_x(27)-\log_y(4)\biggr)=5-1[/tex]
[tex]2\log_y(4)=4\\\log_y(4)=2\\4=y^2\\2=y[/tex]
[tex]\log_x(27)+\log_y(4)=5\\\log_x(27)+\log_2(4)=5\\\log_x(27)+2=5\\\log_x(27)=3\\27=x^3\\3=x[/tex]
What is translation in coordinate geometry?
In the coordinate geometry the translation represents one type of transformation to change the location without changing the shape, size.
As given in the question,
In the coordinate geometry,
The translation is one type of transformation.Translation represent the change in the location of the given geometrical figure in the coordinate plane.No change in the shape and size of the geometrical figure.Change in the location vertical and horizontal direction.Right and left direction represents the horizontal direction.Up and down represents the vertical direction.Therefore, in the coordinate geometry the translation represents one type of transformation to change the location of the geometrical figure.
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how do i do this question
The slope of the line is given by the equation slope m = 3/2
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , let the first point be P = P ( 0 , 1 )
Let the second point be Q = Q ( 2 , 4 )
Now , the slope of the line between the two points is
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 4 - 1 ) / ( 2 - 0 )
On simplifying the equation , we get
Slope m = ( 3 / 2 )
Therefore , the value of m is 3/2
Hence , the slope of the line is 3/2
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The pitchers for the home team had 12 strikeouts for 32 batters, while the pitchers for the visiting team had 15 strikeouts for 35 batters. Which pitching team had a greater fraction of strikeouts.(Hint: Just make the 12 for 32 and 15 for 35 into fractions and see which is greater or less than.)
Answer:
2958843/5 5/1000775747373838388484737372737375823What is the type of polynomial 11 − 4x2 − x3?
The equation 11 = −4x²−x³ is a cubic polynomial.
Polynomial:
A polynomial is an algebraic expression containing indefinites and constants. Polynomials can be thought of as dialects of mathematics. They are used to represent numbers in almost all areas of mathematics, and are used in specific areas of mathematics such as mathematics Critical analysis. For example, 2x + 9 and x2 + 3x + 11 are polynomials.
Cubic Polynomial:
The cubic polynomial is the polynomial with the largest exponent of the variables. H. Order of variables as 3. Based on the degree, polynomials are divided into four types: zero polynomials, linear polynomials, second order polynomials, and third order polynomials. The general form of a cubic polynomial is p(x): ax³ + bx² + cx + d, where a ≠ 0. where a, b, and c are coefficients and d is a constant, all of which are real numbers. An equation involving a cubic polynomial is called a cubic equation. Examples of cubic polynomials are p(x): x³ − 5x² + 15x − 6 and
r(z): πz³ + (√2)10.
Now,
A cubic polynomial is a polynomial of degree 3. A cubic polynomial has the form f(x)=a₃x³ +a₂x² +a₁ x+ a₀
Here, the polynomial 11 = −4x² −x³
or x³+4x² +11 = 0 is a polynomial of degree 3 with coefficients a₁ = 0,
a₂ =4, a₃ =1 and constant a₀= 11.
Hence, 11 = −4x² −x³ is a cubic polynomial.
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A single-engine plane can travel up to 140 miles per hour. The total number of miles m is represented by the function m = 140h, where h is the number of hours traveled. Determine appropriate input values for this situation.
Answer: The input values for this function are the number of hours traveled, represented by the variable h. Therefore, appropriate input values for this function would be any positive number representing a number of hours traveled.
For example, some appropriate input values could be:
h = 1: This represents 1 hour of travel, or a total distance of 140 miles.
h = 2: This represents 2 hours of travel, or a total distance of 280 miles.
h = 3.5: This represents 3.5 hours of travel, or a total distance of 490 miles.
Note that the input values do not have to be whole numbers, they can be any positive number representing a number of hours traveled.
Step-by-step explanation:
the scatter plot shows a regression line of units demanded and price. if the demand is for 35 units what would be the predicted price per unit?
A)$20
B)$23
C)$27
D)$32
According to the following graph, we have identified that if the demand is for 35 units then the predicted price per unit is $27.
The term graph in math is defined as pictorial representation of algebraic equation.
Here we have given the following graph and here we also know that the scatter plot shows a regression line of units demanded and price.
Here we need to know the definition of regression line, which means the relationship between two variables. And it is applied in scenarios where the change in the value of the independent variable causes changes in the value of the dependent variable.
Based on these definition, here we have the relationship between the units demanded and the price of those units.
Now, by looking into the given graph, we have identified that if the demand is for 35 units, then the units price is $27.
Therefore, option (c) is correct.
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How do you write 4 7/8 as a decimal
Answer:
4.88
Step-by-step explanation:
Turn 4 7/8 as an improper fraction Divide The FractionDone!Hops This Helps!
To convert 4 7/8 into a decimal, we first need to turn the mixed number into an improper fraction.
In order to turn the mixed number into an improper fraction, we need to multiply the whole number by the denominator and add it up with the numerator.
[tex]4\dfrac{7}{8}[/tex]
[tex]4\times8=32+7=39[/tex]
Now, put that sum over the denominator:
[tex]\dfrac{39}{8}[/tex] (improper)
Now, to turn the improper fraction into a decimal, we need to divide the numerator by the denominator:
[tex]39\div8[/tex]
[tex]=\fbox{4.875}[/tex] (final answer)
Find the nth term of the following sentence
-5,-2,3,10,19
On solving the provided question, we can say that An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant.
what is arithmetic sequence?Arithmetic sequences are groups of integers that are arranged in a certain order and share a common difference between each term. The tolerance, for instance, is six in the mathematical progression 3, 9, 15, 21, and 27. Arithmetic progression can also be referred to as such. a series that is produced by adding the same value repeatedly. for instance, 1, 4, 7, 10, 13, 16, 19, 22, and 25. Sequences that have an arithmetic difference between two successive phrases are known as arithmetic sequences. A progression in math with a tolerance of 2 is 2,4,6,8,10.
An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant. 2,4,6,8,10….is an arithmetic sequence with the common difference 2.
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Jim wrote the following derivation of a term with a rational exponent based on a term consisting of a radicand that is less than 0
The equivalent form [tex][latex] {{8}^{\frac{1}{3}}}[/latex][/tex]can be determined where the origin of the numerator of 1.
When rewriting a radical with a fractional exponent, the numerator is the power to which the radicand is increased, and the denominator is the root or index.
The link between [tex][latex] \sqrt[n]{{{a}^{m}}}[/latex]and [latex] {{a}^{\frac{m}{n}}}[/latex][/tex]also applies to rational exponents with a numerator of 1. For instance, the radical [tex][latex] \sqrt[3]{8}[/latex][/tex]
can also be expressed as [tex][latex] \sqrt[3]{{{8}^{1}}}[/latex][/tex].
Since any number retains its value when raised to the first power, [/latex]. Now that you have the equivalent form of [tex][latex] {{8}^{\frac{1}{3}}}[/latex][/tex], you can determine where the origin of the numerator 1.
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Mr. Nunez brought 2 1/2 cake to chool for her cla. If there are 15 people in the cla ,including Mr. Nine, how much of the cake will each peron receive
Each person present in Mrs. Nunez's class is going to receive 1/6th part of the cake when they get it cut.
Mr. Nunez brought 2 ½ cakes for 15 people which means, 2 ½ cakes will be equally divided into 15 pieces and distributed to each person. Since 2 ½ is a mixed fraction we have to convert it into a regular fraction which will be equal to 5/2. So, the amount of cake a person will receive is equal to (5/2)/15 which is 1/6, which is roughly 0.167 part of the whole cake.
The given problem has been solved by using the properties of fractions.
The complete question that you might be looking for is-
Mrs. Nunez brought 2 1/2 cake to school for her class. If there are 15 people in the class, including Mr. Nine, how much of the cake will each person receive?
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Is Y =- 3 vertical or horizontal?
According to the following graph, y = -3 makes the horizontal line on graph.
The term graph in math is known as a pictorial representation or a diagram that represents data or values in an organized manner and the points on the graph often represent the relationship between two or more things.
Here we have given the expression y = -3.
Now, we have to plot these on the graph, then we get the graph like the following.
While looking into the given graph, we have identified that y = -3 is a horizontal line, and that passes through y-axis, here at a distance of 3 units on the bottom of the origin and is parallel to x-axis.
Therefore, the expression y = -3 makes the horizontal line which crosses the y -axis at (0,−3).
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b)
What is the Lowest Common Multiple of 42 and 90?
Answer:
630
Step-by-step explanation:
you can search it up if you want.
Answer:
630
Step-by-step explanation:
Perimeter > 50 solve please need by tonight
Answer:
Step-by-step explanation:
x + 4 + 2x - 6 + 10 > 50
4 - 6 + 10 = 8
x + 2x = 3x
3x + 8 > 50
Subtract 8 from both sides
3x > 50 - 8
3x > 42
Divide 3 from both sides
42/3 = 14
x > 14
Given this equation in slope y - intercept form y=2x+5, the slope, and the y-intercept are represented as ______.
Answer:
slope is 2 ,, y intercept is 5
Step-by-step explanation:
y=mx+c
m represents slope
c represents y intercept
Help needed please and thank you
Answer:
see image
Step-by-step explanation:
Right at the point (1,2) there's a nice point. Going up and right along the line there's another nice point at (5,5)
To get from one point to the next, you can draw a stair-step line that goes up3 and over4. The slope is up3/over4.
m = 3/4
The slope is 3/4. See image.