Answer:
Step-by-step explanation:
answer is -25
Answer:
-25
Step-by-step explanation:
-15/1 / 3/5
(-15/1)(5/3) Do reciprocal on the second fraction
(-5)(5) = -25 Cancel out common factors then multiply
Three identical uniform meter sticks are placed on the floor. The first stick lies along the y-axis from y = 0.470 m to y = 1.47 m. The second stick lies along the x-axis from x = 0.320 m to x = 1.32 m. The third stick is positioned so that one end is on the x-axis at x = 0.690 m, and the other end is on the y-axis at y = 0.724 m. Calculate the location of the center of mass of the meter sticks
The x position of center of mass is = 0.389 m , the y position of center of mass is = 0.444 m .
In the question ,
it is given that , first stick lies along y-axis from y = 0.470 m to y = 1.47 m.
So , coordinate of first stick is (x1 , y1) = (0 , (0.47+1.47)/2) = (0 , 0.97)
the second stick lies along x-axis from x = 0.320 m to x = 1.32 m ,
So , the coordinate of second stick is (x2 , y2) = ((0.32+1.32)/2 , 0) = (0.82 , 0)
the third stick is positioned so that one end is on x-axis at x = 0.690 m, and the other end is on the y-axis at y = 0.724 m .
the coordinate of third stick is (x3 , y3) = (0.690/2 , 0.724/2) = (0.345 , 0.362)
So , x position of center of mass is x = (0 + 0.82 + 0.345)/3
= 0.389 m
So , y position of center of mass is y = (0.97 + 0 + 0.362)/3
= 0.444 m
Therefore , The x position of the center of mass is = 0.389 m , the y position of center of mass is = 0.444 m .
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I really need help I can't mess this up lol
Answer:
x=111, y=29
Step-by-step explanation:
A recipe for homemade clay calls for 6 cups of water for every 12 cups of flour. How many cups of water are needed when 4 cups of flour are used?
Answer:
2
Step-by-step explanation:
The original ratio is 6:12
That could be looked at as divided by half. OR, you can look at it as 12/3 is 4
So 4/2 is 2, and for the second method I provided... 6/3 is 2
if the mean of a normal distribution is negative, . a. the standard deviation must also be negative b. the median and mode must also be negative c. the variance must also be negative d. a mistake has been made in the computations, because the mean of a normal distribution cannot be negative
If the mean of a normal distribution is negative then the median and mode must also be negative.
As given in the question,
Mean of the normal distribution is negative,
Variance of normal distribution can not be negative.Standard deviation is positive square root of variance.Mean of a normal distribution is of three type : Negative , zero , positive.Mean ,median and mode all are equal.a. Standard deviation must be negative : False
b. Median and mode must also be negative : true
c. Variance must be negative : false
d. Mistake has been made in the computations , mean of a normal distribution cannot be negative : false
Therefore, for mean of a normal distribution to be negative then median and mode must be negative is the correct option.
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Drake ha been feeding hi hore after chool thi week. There were 3 day that Drake fed hi hore 12 pound of hay. Another day Drake fed hi hore 11 2/5 pound of hay. The lat day Drake fed hi hore 10. 82 pound. How many pound in total did Drake feed hi hore thi week? Write your anwer in decimal and in fraction
The total Drake feed his horse this week is 58.22 pound or 58[tex]\frac{11}{50}[/tex] pound.
How to calculate total pounds?Let's break it down,
day 1 = 12 pound
day 2 = 12 pound
day 3 = 12 pound
day 4 = 11[tex]\frac{2}{5}[/tex] pound
day 5 = 10.82 pound
First to answer in decimal, change all value to decimal. Since only day 4 value is not decimal, so we only change day 4 value.
day 4 = 11 + (2 ÷ 5) = 11.4 pound
Total pound = 12+12+12+11.4+10.82
= 58.22 pound
Next, to answer in fraction, we only change the result in decimal to fraction. So,
58.22 = 58 + (22 ÷ 100)
= 58[tex]\frac{22}{100}[/tex]
simplified
= 58[tex]\frac{11}{50}[/tex]
Thus, this week Drake feed his horse 58.22 pound of hay or equal to 58[tex]\frac{11}{50}[/tex] pound of hay.
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Johanna ha a cell phone plan that ha a monthly charge plu a per text fee. In October, he ent 45 text and her bill wa $37. 25. In November, he ent 118 text and her bill wa $40. 90. Part A
Determine the y-intercept and write it in coordinate form. (
,
)
Part B
Explain what the y-intercept repreent in the problem ituation.
A) The y-intercept of the given is 43.13 and coordinates is,
[tex](x_1,y_1)=(45,37.25)\\(x_2,y_2)=(118,40.90)[/tex]
B) The y-intercept represent the constant variable.
What is y-intercept?
In mathematics, the intersection point is the point on the y-axis through which the slope of the line passes. The y-intercept is where the line or curve intersects or touches the y-axis. This is the vertical, often dark line in the middle of the chart. The y-intercept of a chart is the point where the chart intersects the y-axis. Y-INTERCEPT means the y-coordinate of the point where the line, curve, or surface intersects the y-axis.
in given problem take number of text represent as x coordinate and cost of month represent y coordinate , then
[tex](x_1,y_1)=(45,37.25)\\(x_2,y_2)=(118,40.90)[/tex]
Now using slope formula ,
slope m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
=> slope m = 3.65/73 = 0.05
Now using equation formula ,
[tex]y-y_1=m(x-x_1)[/tex]
=> y-45 = 0.05(x-37.25)
=> y-45 = 0.05x-1.8625
=> y= 0.05x+45-1.8625
=> y = 0.05x+43.13
Here we know that equation general form is y = mx+b , where b is
y intercept.
Therefore y intercept is 43.13 and it represent the constant variable.
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What is 5.37divied by 3 put 5.37 at the top and 3 at the bottom PLEASE I ONLY HAVE 19 MINS TO SUMMIT THIS!!
What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 54?.
72 is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 54.
We know that the sum of all the angles of any triangle is 180
We have to use the above property in order to find the measurement of the vertex angle.
Now our triangle is isosceles , that is the two equal sides will be containing equal angle. One of them is given as 54
And hence the other will also be 54.
Let the vertex angle be x
180=54+54+×
180=108+×
x=180-108
x=72
Hence the vertex angle is 72
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Jada is designing a rectangular water purification filter that will be available in various sizes.
The area of the filter can be represented by the expression 2x² +9x-35. She needs to
determine expressions to represent the dimensions of the filter, as well as values of a that
result in an area of 0. Which answer choice gives the dimensions as well as values of a which
result in an area of 0?
The required value of x is 2.5, such that the area of the filter is 0.
Jada is designing a rectangular water purification filter that will be available in various sizes. The area of the filter can be represented by the expression 2x² + 9x - 35. She needs to determine expressions to represent the dimensions of the filter, as well as values of "a" that result in an area of 0.
We will find the roots of the equation.
2x² + 9x - 35 = 0
We will use the quadratic formula.
x = [-b ± √(b² - 4ac)]/2a
x = [-9 ± √(9² - 4(2)(-35))]/2(2)
x = [-9 ± √(81 + 280)]/4
x = [-9 ± √(361)]/4
x = (-9 ± 19)/4
The values of the variable "x" are 2.5 and -7. The negative value is rejected because the dimensions cannot be negative. Hence the required value of x is 2.5, such that the area of the filter is 0.
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Given f (x) = 3 x minus 1 and g (x) = 2 x minus 3, for which value of x does g (x) = f (2)? x = three-halves x = 2 x = five-halves.
The required value of x for the given condition g(x) = f(2) is x = 2.
Explain function of x.This relationship is regularly represented as y = f(x) — which is expressed "f of x" — and y and x are connected with the end goal that for each x, there is an extraordinary worth of y. That is, f(x) can not have more than one incentive for a similar x. To utilize the language of set hypothesis, a capability relates a component x to a component f(x) in one more set.
According to question:f(x) = 3x - 1 and g(x) = 2x - 3
To find value of x for g(x) = f(2)
Then, f(2) = 3(2) - 1 = 6 - 1 = 5
So, g(x) = 2x - 3 = 5
2x = 8
x = 4
Thus at x = 4 g(x) = f(2).
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Please help this is geometry
Answer:
50
Step-by-step explanation:
Since 45-45-90 tri, x^2+x^2=100^2.
x^2+x^2=10000 so 2x^2=10000 and 2x=100 so x=50
2. b = 4 in, P = 16 in, s = 12, 4 sides (base is a square) What is surface area?
The surface area of the square pyramid with the given dimensions is: 112 in.²
What is the Surface Area of a Square Pyramid?A square pyramid is a shape that has a square base and four triangular sides. A diagram of a square pyramid is shown in the image below.
Surface area of a square pyramid (SA) = base area (A) + perimeter of base (P) × slant height (s) / 2.
We are given the dimensions of a square pyramid as:
Length of a side of the base (b) = 4 in.
Base area (A) = 4² = 16 in.²
Base perimeter (P) = 16 in.
Slant height (s) = 12 in.
Therefore:
Surface area of a square pyramid (SA) = 16 + 16 × 12/2.
SA = 16 + 16 × 6
SA = 112 in.²
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scores on a college entrance exam are normally distributed with a mean of 500 and a standard deviation of 80. find the score at the 35th percentile.
The score at 35th percentile is 469.6 marks according to standard deviation and mean.
What is standard deviation?
Standard Deviation could be a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exis
Main body:
Given:
mean of μ = 500 and standard deviation of σ = 80
To answer this, we must find the z-score that is closest to the value 0.35 in the z table. This value turns out to be -0.38:
We can then plug this value into the percentile formula:
Percentile Value = μ + zσ
35th percentile = 500 + (-0.38)*80
35th percentile = 469.6
the score at the 15th percentile weighs about 469.6 marks.
Hence marks at 35th percentile is 469.6
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A square rug has an inner square in the center. The side length of the inner square is x inches, and the width of the outer region is 3 in. What is the area of the outer part of the rug?
Answer:
[tex]12x+36[/tex] in²
Step-by-step explanation:
The area of the inner square is [tex]x^2[/tex] in².
The area of the whole square is [tex](x+6)^2[/tex] in².
Taking the difference, [tex](x+6)^2-x^2=(6)(2x+6)=12x+36[/tex] in².
Answer:
[tex]\huge\boxed{\sf 12x + 36 \ in.^2}[/tex]
Step-by-step explanation:
Formula:Area of square = length²Area of inner part of the rug:Length = x in.
So,
Area = (x)²
Area = x² in.²
Area of the whole rug:Length of the whole rug = 3 + x + 3 = x + 6
So,
Area = (x + 6)²
Area = x² + 12x + 36 in.²
Area of the outer part of the rug:= Area of the whole rug - Area of the inner part
= x² + 12x + 36 - x²
= x² - x² + 12x + 36
= 12x + 36 in.²[tex]\rule[225]{225}{2}[/tex]
when 900 is divided by positive integer f, the remainder is m. for some integer n > 5000, when n is divided by positive integer d, the remainder is r. is r > f?'
Given that f might either be 29 or 31, both of which are greater than 23, and thus n follows, sufficient conditions for n is divided by positive integer d.
Define the term positive integer?Natural numbers, also known as counting numbers, are positive integers. The symbol Z+ is also used to represent these integers.According to Statement A, 900 divided by f yields a remainder of m = 1. This provides no information about n or D; Insufficient
According to Statement B, the remainder n = x if N is divided by D = 23. This provides no information about r or d; Insufficient
Putting A and B together, since 900/f gives r = 1, d is a factor of 899.
The challenging part: 899 factors equal 29*31
Consequently, f might either be 29 or 31.
Since R can't be more than 23 based on B, D=23, and R is the reminder, so,
23 => n < 23
Thus, given that f might either be 29 or 31, both of which are greater than 23, and thus n follows, sufficient.
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In which case can you prove that two triangles are congruent?.
When two sides and sides of one triangle are equal then it can be said that the triangles are congruent.
Here we have to find the case in which it can be proven that two triangles are congruent.
Two triangles are said to be congruent if two angles and the included side of one triangle are equal to two angles and the included side of another side.
One of the simplest ways to prove that triangles are congruent is to prove that all three sides of the triangle are congruent. When all the sides of two triangles are congruent, the angles of those two triangles must also be congruent. This method is called side-side-side( SSS).
Therefore when two angles and their sides are equal then two triangles are said to be congruent.
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When testing for significance among three or more groups, it may be difficult to determine where the significant differences are in a dataset. A ______ can pinpoint the difference(s).
Analysis of Variance (ANOVA)
Post hoc test
Confidence interval
Cross tabulation
When testing for significance among three or more groups, it may be difficult to determine where the significant differences are in a dataset. An Analysis of Variance (ANOVA) can pinpoint the difference(s). The correct option is B.
What is ANOVA?Analysis of variance is a collection of statistical models and the estimation procedures that go with them that are used to analyze the differences between means. Ronald Fisher, a statistician, invented ANOVA. ANOVA is a method for determining whether the means of two groups differ. Inferential statistics uses samples to infer population properties. Statistical tests such as ANOVA assist us in determining whether sample results are applicable to populations.
The null hypothesis in ANOVA states that there is no difference between group means. The ANOVA will report a statistically significant result if any group differs significantly from the overall group mean. ANOVA is a statistical method that divides observed variance data into different components for use in additional tests. For three or more groups of data, a one-way ANOVA is used to learn about the relationship between the dependent and independent variables.
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1 cup of sugar to 2 quarts of water calculate the volume percent of this solution and determine which of your samples is the closest to the concentration of the recommended preparation assume that the weight of the drink mix is 0.0 g the total volume of the solution is 8 and 2/3 cups
The Volume percentage of the solution which is 1 cup of sugar to 2 quarts of water is 15.15%.
⇒The volume percentage of the solution,
= Volume of solute / Volume of Solution × 100% → 1
As per the question,
The volume of the solute = 50 mlThe volume of the solution = 330 mlSubstitute the values in 1,
Volume percentage of the solution = Volume of solute / Volume of
Solution × 100%
= ( 50 / 330 ) × 100
= 0.1515 × 100
Volume percentage of the solution = 15.15%
Therefore, 15.15% is the volume percentage of this solution.
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How do you write 5 less than N?.
Answer:
n - 5
Step-by-step explanation:
n is a variable
less mean to subtact so n - 5
please answer asap (25 points)
only write down what I gotta put in the box and explanation
Answer: The answer is b = -28 (type -28 in the box)
Step-by-step explanation:
The equation of this line in y=mx+b format is:
y=-6x-28
which of the following are exponential functions? select all correct answers. select all that apply: f(x)
The functions that are exponential are f(x) = 4(1/4)ˣ , g(x) = 14(4)ˣ and k(x) = 6(5.49)ˣ , the options that are correct are (a) , (b) and (e) .
In the question ,
five function are given ,
we need to select the functions that are exponential ,
We know that , Exponential function is a function whose value is a constant raised to power of a variable ,
For Example , f(x) = cˣ, where c is any constant value and x is a variable.
Part(a) ,
f(x) = 4(1/4)ˣ
Since , x is in the exponent , hence it is an exponential function .
Part(b) ,
g(x) = 14(4)ˣ
Since , x is in the exponent , hence it is an exponential function .
Part(c) ,
h(x) = 10x⁵
Since , x is present in the base , hence , it is not an exponential function .
Part(d) ,
j(x) = −9x⁴
Since , x is present in the base , hence ,it is not an exponential function .
Part(e) ,
k(x) = 6(5.49)ˣ
Since , x is in the exponent , hence it is an exponential function .
Therefore , The exponential functions are (a) f(x) = 4(1/4)ˣ , (b) g(x) = 14(4)ˣ and (e) k(x) = 6(5.49)ˣ .
The given question is incomplete , the complete question is
which of the following are exponential functions? select all correct answers.
(a) f(x) = 4(1/4)ˣ
(b) g(x) = 14(4)ˣ
(c) h(x) = 10x⁵
(d) j(x) = −9x⁴
(e) k(x) = 6(5.49)ˣ
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What is unit digit in the product 784 x 618 x 917 x 463?.
2 is unit digit in the product .
What do Units digits mean?
The digit that goes in the place of one in a number is known as the units digit. It is the number's last digit on the right, for example. For instance, the units digit for 243 is 3 and for 39 it is 9.The Unit Place Digit refers to the digit placed in the one's position of the particular number.unit digit of (784 ×618 × 917 ×463)
unit digit of ( 4 × 8× 7 × 3 )
unit digit of ( 672)
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Solve the equations. Simplify your answers completely.
A) -1/3p=7
b) 48 = 4/5x
Problem 1:
1) Simplify 1/3p to p/3.
-p/3 = 7
2) Multiply both sides by 3.
-p = 7 x 3
3) Simplify 7 x 3 to 21.
-p = 21
4) Multiply both sides by -1.
p = -21
Problem 2:
1) Simplify 4/5x to 4x/5.
48 = 4x/5
2) Multiply both sides by 5.
48 x 5 = 4x
3) Simplify 48 x 5 to 240.
240 = 4x
4) Divide both sides by 4.
240/4 = x
5) Simplify 240/4 to 60.
60 = x
6) Switch sides.
x = 60
Thanks,
Eddie E.
Answer:
a) p= -21
b) x= 60
Step-by-step explanation:
A) -1/3p=7
/-1/3. /1/3
p=7*3/-1
p= -21
B) 48=4/5x
/4/5. /4/5
48*5/4=x
240/4=x
60=x
Hopes this helps please mark brainliest
There is a set of 14 jobs in the printer queue. Two of the jobs in the queue are called job A and job B. How many different ways are there for the jobs to be ordered in the queue so that job A is first or job B is last or both?
The jobs can be ordered in the queue so that job A is first or job B is last or both, in (2 x 13! - 12!) different ways or 11,975,040,000 different ways.
Factorial is a function to calculate number of ways a number of objects can be arranged.
In the given problem, there is a set of 14 jobs in the printer queue, where two of them called job A and job B.
Case 1: job A is the first in the queue order.
In this case, the position of job A is fixed and there are 13 other jobs can be arranged.
Hence, the number of possible ways of case 1 = 13!
Case 2: job B is the last in the queue order.
Similarly, in this case, the position of job B is fixed and there are 13 other jobs can be arranged.
Hence, the number of possible ways of case 2 = 13!
Case 3: job A is the first in the queue order or job B is the last in the queue order.
In this case, 2 positions are fixed, while the other 12 queue positions need to be arranged.
Hence, the number of possible ways of case 3 = 12!
Notice, that case 3 is a subset of case 1 and case 2. Hence,
total possible ways = possible ways of case 1 + possible ways of case 2 - possible ways of case 3
total possible ways = 13! + 13! - 12!
= 2 x 13! - 12!
= 11,975,040,000
Hence, the jobs can be ordered in (2 x 13! - 12!) ways or 11,975,040,000
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What are the 4 properties of addition?.
The four basic properties of addition are:
Commutative property.
Associative Property.
Distributive Property.
Additive Identity Property.
Commutative Property of AdditionWhen we add two or more numbers, their sum is the same regardless of the order of the addends. We can write this property in the form of A + B = B + A.
Associative Property of AdditionWhen we add three or more numbers, the sum is the same regardless of the grouping of the addends. It also means that when we add three different numbers, the result is not affected by the addition pattern followed.
A +( B+C) = (A + B)+C
Additive Identity Property of AdditionOn adding zero to any number, the sum remains the original number. Adding 0 to a number does not change the value of the number. It is true for natural numbers, whole numbers, fractions, integers, and decimals.
Distributive propertyThe distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately
Hence we get the required answer.
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Which factors of 14 are also factors of 28?.
Answer:
1, 2, 7, and 14
Step-by-step explanation:
factors of 14 : 1, 2, 7, and 14
factors of 28 : 1, 2, 4, 7, 14, and 28
so then common factors between 14 and 28 are 1, 2, 7, and 14
Please help me with this!
Answer:
67
Step-by-step explanation:
angle EGF and angle EFH has the same arc EDH, so their angles are also the same
A circle has a diameter with endpoints at â€""2 i and â€""6 â€""11i. what is the center of the circle? â€""8 â€""10i â€""4 â€"" 5i â€""2 â€"" 6i 2 i
The circle's center is located at (-4 -5i).
Given data,
A circle has a diameter with endpoints at -2 + i and -6 -11i.
(x₁, x₂) = (-2, -6)
(y₁, y₂) = (i, -11i)
To find what is the center of the circle;
It can be calculated by,
Add the two 'x' coordinates together and average, and the two 'y' coordinates together and average.
Now,
(x₁ + x₂)/2 = (-2 -6)/2
= -8/2
= -4
(y₁ + y₂)/2 = (i - 11i)/2
= -10i/2
= -5i
Hence, the center of the circle is at (-4 -5i).
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can someone help i dont understand this
p(n)=2n; find p(-1)
The solution for p(-2) in the function when the function p(n) = 2n is -2
How to determine the solution for p(-1) in the function?From the question, we have the following equation that can be used in our computation:
p(n)=2n
To make the equation legible, we need to rewrite it
So, we have the following representation
p(n) = 2n
Also from the question, we have
p(-1)
This means that the value of n is -1, and we calculate p(n) when n = -1
Substitute the known values in the above equation, so, we have the following representation
p(-1) = 2 * -1
So, we have the following equation
p(-1) = 2 * -1
There is no constant to add or subtract to both sides of the equation
So, we have the following representation
p(-1) = -2
Hence, the solution is -2
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A tool rental company charge $25 for the firt hour of a tractor rental. Each additional hour cot $20 per hour
For the given question
The correct option would be
It is proportional; each x-term is a multiple of the previous term.
Define a multiple.
Manifold is the simplest way to define a multiple. A multiple in mathematics is the outcome of multiplying two numbers together, or multiple is the set of numbers you obtain when you divide a number by an integer.
As an illustration, multiple of 5 include: 10, 15, 20, 25, 30, etc. 14, 21, 28, 35, 42, 49, and so on are all the multiple of 7.
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