Write 30% as 30100Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
30100 of 84 = 30100 × 84Therefore, the answer is 25.2
If you are using a calculator, simply enter 30÷100×84 which will give you 25.2 as the answer.
halfway between -5/6 and 1/3 on a number line
The halfway between the number is -1/4 on the number line.We can find halfway by using midpoint formula.
How do we show number on number line?If the given number is positive mark it on the right side of the origin. If it is a negative number mark it on the left side of zero.Then divide each unit into the values equal to the fraction's denominator.
What is a Number Line in Math?A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides horizontally or vertically.
Now
Using midpoint formula
[tex]x_{1}[/tex]+[tex]x_{2}[/tex]/2 =-5/6 +1/3 divide 2
Find common denominator and write the numerators above common denominator
-5+2/12 =-3/12
=-1/4
Hence we find midpoint between numbers.
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The number of dragons of Westeros rose by a shocking 15% this year if there were 300 dragons this year how many are there this year
If the number of dragons in Westeros rose by a shocking 15% this year if there were 300 dragons in the previous year, then there will be a total of 345 dragons in this year.
The percentage increase in the number of dragons in Westeros rose = 15%
The total number of dragons in Westeros rose in previous year = 300
So, for calculating the total number of dragons in Westeros rose in this year we will first find the value of 15% of 300 and then add it to 300.
So, finding the value of 15% of 300
As we know, for removing the percentage sign we will divide the given number by 100
So, the value of 15% of 100 = (15/100)*300 = 45
So, the value of the total number of dragons in Westeros rose in this year will be 300+45 = 345
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The correct question may be like:
If the number of dragons in Westeros rose by a shocking 15% this year if there were 300 dragons in the previous year, then what will be a total of dragons in this year?
Solve for the x and y intercepts of the following. Show all steps. a)2x-5y=20
Solving for x and y intercepts when given an equation:
the x-intercept occurs when y = 0, so we can set y = 0 and solve for xthe y-intercept occurs when x = 0, so set x=0 and solve for yperform inverse operations until x or y is isolatedX-intercept:
[tex]2x-5(0)=20[/tex]
[tex]2x=20[/tex]
[tex]x=10[/tex]
x-intercept occurs at (10,0)
Y-intercept
[tex]2(0)-5y=20[/tex]
[tex]-5y=20[/tex]
[tex]y=-4[/tex]
y-intercept occurs at (0,-4)
Ron's car uses 12 L of gasoline per 100 km of highway driving. Asma's car as 5/6 as much fuel. How much fuel does Asma's car use per 100 km of highway driving?
10L fuel does Asma's car use per 100 km of highway driving
In this question, we have to use the unitary method
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
What is a unitary in math?
a unitary state. (mathematics, of an algebra) That contains an identity element. (mathematics, linear algebra, mathematical analysis, of a matrix or operator) Whose inverse is equal to its adjoint.
So from the unitary method, we can solve it
12 L of gasoline per 100 km
so for 5/6
12 L * 5/6
= 10 L
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Two students wrote the equations shown below.
Erica Aliyah
y = -0.5x y = 2.5x - 8
Which statement is true?
A Graphs of both equations will pass through the origin.
B Only Erica’s equation is proportional.
C Both equations have a negative slope.
D Only Aliyah's is proportional
Only Erica's equation (y = -0.5x) is proportional
What is an equation?An equation is used to show the relationship between numbers and variables.
The standard form of a linear equation graph is:
y = mx + b
Where m is the slope of the line and b is the y intercept.
Given the Erica equation:
y = -0.5x
The slope is -0.5, hence it is a negative slope and the intercept is at 0, hence it passes through the origin and is proportional
Given the Aliyah equation:
y = 2.5x - 8
The slope is 2.5, hence it is a positive slope and the intercept is at -8, hence it does not pass through the origin and is not proportional
Both equations are linear equations
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prove that 1 + sinx = sinx(1+cscx).
Answer:
Below
Step-by-step explanation:
csc x = 1/sinx
so sinx ( 1 + cscx )
= sinx ( 1 + 1/sinx)
= sinx + sinx /sinx
= sin x + 1 Done .
If there are 10 fish in a tank 5 escaped 2 died.
How many are left?
Pls help
Answer: 8
Step-by-step explanation:
Its a fish tank no fish can escape. So 10-2 because 2 fish died and that is 8.
So you have 8 fish.
Hope this helps
If 3% discount is given to electricity bill of Rs.1600 and 13% VAT is added to it, how much should be paid
Can anyone help please for e and f
Therefore ,this maxima of the preceding problem is 2 ≥ 0 , which leads to x²+90=> f(x) ≥ 9 , indicating that there is no maxima.
Describe maxima.The maxima & minima of the a function are its maximum and minimum points within or across a given range, and these points are collectively referred to as extrema in mathematical analysis. The highest value of the variable. The maximum amount, level, etc. The variable can only take a maximum of 2. Maximum refers to a peak (plural maxima). The lowest position is referred to as minimal (multiple minimum). Extremum is a phrase for the largest or least of anything (multi-extremum). Peaks (or minima) are used if there are better (or worse) sites available elsewhere but they are not nearby.
Here,
Given :
=> f(x) = x²+9 20
=> x²+9>0 and
=> f(x) 9,
maxima are not possible.
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Numbered meridians Group of answer choices are semicircles are east-west lines diverge as they near the poles are the same thing as parallels are numbered from 0-100 in three hemispheres
Numbered meridians are semicircles.
On a map of the planet, the Prime Meridian is an illustrative line. It serves as the origin of the longitude system of measurement. Meridians, a system of fictitious north-south lines, make up longitude. The planet Earth rotates like a ball. The Earth's axis serves as the spin's focal point.
The North Pole and the South Pole are where the axis intersects the surface of the planet. The North Pole and the South Pole are the points on each meridian. Meridians are used to calculate how far away from the prime meridian you are in degrees east or west.
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What is the monthly payment What is the total payment? Find the finance charge,for a $8,000 4-year loan with an APR of 3%?
Answer:
8,960.66
Step-by-step explanation:
In general, the length of the billing cycle is at least 15 days and no longer than 90 days.
The finance charge for a billing cycle is 960.66.
The new opening balance in the following billing cycle is 8,960.66.
Why do we use 1st and 3rd quadrant?
The usage of first and third quadrant is explained below.
The term quadrant in math is known as a region defined by the two axes (x-axis and y-axis) of the coordinate system.
Here we need to list down the usage of first and third quadrant is as follows:
As we all know that the Third Angle Projection schema imagines the object in the third quadrant.
And in one can place an object on the bottom of the horizontal plane and behind the vertical planes.
Where as the first angle projection is utilized mostly in the United States and it places the object between the observer and the object.
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Please help here’s an image
On solving the provided question we can say that - the domain of the function f(x) = [tex]sinx(e^{-x})[/tex] will be = ( [tex]\frac{-\pi }{2} , \frac{\pi }{4}[/tex] )
what is domain?The range of values a function may accept is referred to as its domain. These numbers represent the x-values of a function like f. (x). The range of values that a function may operate on is referred to as its domain. The value that the function returns following the insertion of the x value is this set. A function containing the independent variable x and the dependent variable y is said to be y = f(x). A value of x is said to be in the domain of a function f if it can be used to successfully create a single value y utilizing the value of x for that purpose.
so, we have
f(x) = [tex]sinx(e^{-x})[/tex]
the domain = ( [tex]\frac{-\pi }{2} , \frac{\pi }{4}[/tex] )
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Find the lope of a line parallel to the line whoe equation i 6xy=-36xy=−3. Fully implify your anwer
The line parallel to 6y = -36x -3 will have the same slope which will be -6.
What is Slope of a line ?A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Finding the slope between two separate locations and calculating the slope of a line are related tasks. In general, we require the values of any two separate coordinates of a line in order to determine its slope.
Any two different points on a line may be used to compute the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula.
The equation of the line is
6y = -36x -3
⇒y = -6x - 1/2
From slope intercept form of the equation we know that
equation of the line is y = mx + c
where m is the slope.
Therefore,
slope the line is -6
The line parallel to 6y = -36x -3 will have the same slope which will be -6.
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DeAndre is 18 miles into a 54-mile backpacking trip in the wilderness.
DeAndre can hike 12 miles per day. How many more days does DeAnd
need to finish?
DeAndre needs
more days.
-97.54 es racional o irracional
Respuesta: Racional
Explicación:
El número es racional ya que podemos representarlo como una fracción de enteros.
Más específicamente, -97.54 = -9754/100
-----------------------------------------------------------------------------
Translation to English:
Answer: Rational
Explanation:
The number is rational since we can represent it as a fraction of integers.
More specifically, -97.54 = -9754/100
convert the following decimals into mixed fraction. a) 4.444
Answer:
4444/1000
You take the number of decimal points and turn them into zeros for the denominator
Write the phrase as an expression.
7 fewer than a number s
An expression is
Answer:
u just do a variable minus 7
s-7=
A model car maker puts 5 wheels in each kit. A machine makes 30 wheels at a time. How many packages of 5 wheels can be made from the 30 wheels?
Answer:
Step-by-step explanation:
6
The number of packages of 5 wheels can be made from the 30 wheels is 6.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, a model car maker puts 5 wheels in each kit. A machine makes 30 wheels at a time.
Now, number of packages of 5 wheels
= 30/5
= 6
Therefore, the number of packages of 5 wheels can be made from the 30 wheels is 6.
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URGENT!! 50 POINTS!!! based on the linear table of ordered pairs, what is the y intercept?
Answer:
y- intercept = 0
Step-by-step explanation:
the linear function can be expressed in slope- intercept form, that is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁ , y₁ ) = (4, - 4) and (x₂, y₂ ) = (- 2, 2) ← 2 ordered pairs from the table
m = [tex]\frac{2-(-4)}{-2-4}[/tex] = [tex]\frac{2+4}{-6}[/tex] = [tex]\frac{6}{-6}[/tex] = - 1
the line crosses the y- axis at (0, 0 ) ⇒ c = 0
y = - x + 0, that is
y = - x ← is the linear function defining the ordered pairs in the table
How do you find the longest angle?
The longest angle is the straight line, or 180 degrees. To find it, draw two lines so that they form a straight line. Then measure the angle between the two lines using a protractor.
What is angle?Angle is a figure formed by two lines or rays intersecting each other. It is measured in degrees, and is generally represented by the symbol ∠. The lines or rays that form the angle can be extended indefinitely, and the angle can be either acute, obtuse, right, reflex, or full. An acute angle is one that is less than 90°, an obtuse angle is one that is greater than 90°, a right angle is one that is exactly 90°, a reflex angle is one that is greater than 180°, and a full angle is one that is 360°.
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Ross had 85 papers to grade from his students. He has graded 60 of them. Approximately what percentage of papers does he have left to grade?
well, our origin amount will be 80, so 80 is the 100% or all papers, now, she has graded 60, so what's leftover is 20, what's 20 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 80 & 100\\ 20& x \end{array} \implies \cfrac{80}{20}~~=~~\cfrac{100}{x} \\\\\\ 4 ~~=~~ \cfrac{ 100 }{ x }\implies x=\cfrac{100}{4}\implies x=25[/tex]
What happens when you log an e?
When you log an e, you are essentially taking the natural logarithm of the number. This means that you are taking the logarithm of a number to the base e, which is about 2.718. The result of this calculation is the number of times the number must be multiplied by itself to get the original number.
For example, if you were to log an e, it would be equal to 1, since e x e = e. If you log a number bigger than e, such as 8, the result would be equal to 2.079, which means that 8 must be multiplied by itself twice (2.079 times) to get the original 8.
In general, when you log a number, you can think of it as a way of seeing how many times that number needs to be multiplied by itself to get the original number. This can be useful in many fields, from mathematics to engineering to physics, to find the mathematical relationship between two numbers.
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Does 4 8 10 make a right triangle?
No, 4, 8 and 10 cannot be the sides of a right triangle. So 4, 8 and 10 does not make a right triangle.
In a right triangle, the side opposite the right angle (the hypotenuse) is the longest side. The side opposite the 90-degree angle is the hypotenuse and it follows the Pythagorean theorem which states that the square of the hypotenuse is equal to the sum of the squares of the legs, so:
c² = a² + b²
In this case, c = 10, a = 8 and b = 4,
so 8² + 4² = 64 + 16 = 80 ≠ 10²
That is it does not follows the theorem. Therefore, 4, 8 and 10 cannot be the sides of a right triangle.
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Identifying Characteristics of an Exponential Function
Consider the function f(x) = (6). What is the value of the growth factor of the function?
02
06
O 18
Answer:
6
Step-by-step explanation:
The growth factor is the number that is raised to an exponent.
Answer: 6
True or false? The graph represents a function.
Answer:
true :)
Step-by-step explanation:
Is 4 a polynomial or not?
The term given to us is 4 , this is a constant number therefore this cannot be regarded as a polynomial.
An expression is said to be a polynomial if it also contains a variable along with constants which are joined with each other through various mathematical operations. These expressions usually have more than one terms.
A polynomial can be of various degrees such as one degree , two degree based upon that they are known as linear , quadratic , cubic polynomial etc. Unlike terms are polynomial terms in which the variables are different and also the same variables with different powers. Contrary terms are two or more terms that are not synonymous.
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Which statement regarding the region of rejection for a 5%
significance level is TRUE?
A z-score higher than 2 is part of the region of rejection
The region of rejection lies between the z-scores -2 and
2.
If a z-score falls within the region of rejection, it indicates
that the alternative hypothesis may be valid.
The region of rejection indicates that the null hypothesis
is true.
The statement regarding the region of rejection for a 5% significance level would be true is the region of rejection lies between the z-scores -2 and 2.Option B is correct.
What is region of rejection?A collection of values for the test statistic for which the null hypothesis is rejected constitutes a critical zone, sometimes referred to as the region of rejection. For example, if the observed test statistic is in the critical range, the null hypothesis is rejected and the alternative hypothesis is accepted.
Further the rejection zone is the area in which we have sufficient data to reject the null hypothesis if our test statistic falls within it. The rejection area, for the right-tailed test, for instance, is any value bigger than the critical value, or c 1 .
Therefore, the interval that causes the null hypothesis H 0 to be rejected in a hypothesis test is known as the region of rejection and is measured in the sampling distribution of the statistic under examination.
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Identify the applications that involve percentages. SELECT ALL THAT APPLY.
Commission
Original Sale Price
Retirement
Sales Tax
Loans
Income
Income Tax
here in equation function, John makes $8.00 per hour waiting tables, and after 40 hours he makes $530.50, including 210.50 in tips.
How do equations function?To create an equation, multiplying and dividing are used to separate constants and variables. In an equation, terms in various forms on each side of the equality sign are equal. John makes $8.00 per hour waiting tables, and after 40 hours he makes $530.50, including 210.50 in tips.To create an equation, multiplying and dividing are used to separate constants and variables.
so we have,
John had paid $8.00 an hour and waits tables
Therefore,
In 29 hours, he earns -
[tex]= 40 X 8\\= 320 $[/tex]
Via tups, he earned 210.50$
So, in total he earns
[tex]= 320 + 210.50\\= 530.50 $[/tex]
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The sum of two consecutive even numbers is 34. What numbers is it
Answer:
16 and 18
16 + 18 = 34 .......... .....