The equation that shows that his hypothesis is wrong is:-
x²+ y²= 25
What is an equation in math?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign.
How do we solve equations?Remove parentheses from each side of the equation and combine similar terms to make it simpler.
To separate the variable term on one side of the equation, use addition or subtraction.
To find the variable, use division or multiplication.
Vladas said that the equation with a squared term is never a function of x.
According to the Pythagorean Theorem, the square of two natural numbers is the third number. When these numbers are used to create a triangle, a right-angled triangle is formed, with a 90° angle between the two smaller sides.
Among the four provided hypotheses:
Option (C) is true since x2+y2=25.
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A company has a monthly time series that regularly shows sales being higher in the summer months. This is an example of which component?.
This is an example of a seasonal component in a time series. A seasonal component refers to regular, predictable patterns that are associated with the time of year, such as increased sales during the summer months.
What are the different components in sales?Selling products or services to clients in exchange for cash or other types of payment is known as ale. The sales process consists of a number of elements, such as:
Product: The items or services being sold are referred to here. A corporation must have a comprehensive grasp of its product offerings and how they fit the demands of its target market.
Price: The sum of money that a consumer must fork over in order to purchase the item or service. Price should be set to maximise profit while maintaining market competitiveness.
Locations where higher the good or service is sold are referred to here as "place." Physical storefronts, internet marketplaces, or a network of distributors may all fall under this category.
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he height of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 13 square cm/min. at what rate is the base of the triangle changing when the height is 4 centimeters and the area is 12 square centimeters?
The rate of change of base is 5 cm/min.
The rate of change function is defined as the rate at which one quantity is changing with respect to another quantity. In simple terms, in the rate of change, the amount of change in one item is divided by the corresponding amount of change in another. The rate of change formula gives the relationship describing how one quantity changes in relation to the change in another quantity.
Let us assume that
h = height of the triangle
[tex]\frac{dh}{dt}[/tex] = rate of increase of height = 1 cm/min
A = Area of triangle
[tex]\frac{dA}{dt}[/tex] = rate of increase of area = 13 cm²/min
Area of traingle, A = 1/2*(b*h)
When A = 12 cm² and h = 4 cm,
Put in above formula,
12 = 1/2 * (b)(4)
∴ b = 6 cm
A = 1/2 * b*h
[tex]\frac{dA}{dT} = \frac{1}{2}h\frac{db}{dt} + \frac{1}{2}b\frac{dh}{dt} \\\\13 = \frac{1}{2}*4* \frac{db}{dt} + \frac{1}{2}*6*1\\\frac{db}{dt} = 5 cm/min[/tex]
Thus, rate of change of base is 5 cm/min.
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133% of what number is 72?
Answer:
54 is the answer
Step-by-step explanation:
hope this helps
Answer:
54 is your answer
Step-by-step explanation:
the person above is right
If x + y = 7 and x - y = 9, find the product of x and y.
Answer:
x=8
y=-1
Step-by-step explanation:
3. Beth finished 40% of her weekly biking workout. She has traveled 24 miles. How long is her
workout for the entire week?
Answer:
I think you times both numbers
Step-by-step explanation:
time both number s
Rachel van Dressler earns 3% commission on all sales. What was her total sales amount if she earns a commission of $3652
Van Dressler's total sales amount is $12,166.6666667
What is sales amount ?
A sale is a deal in which two or more parties exchange goods or services for cash or other assets. A sale in the financial markets is an arrangement between a buyer and a seller that covers the cost of a security and its delivery for predetermined payment.Before any expenditures are taken into account, revenue is the whole amount of income that a business earns from its main operations. Sales are the money that a business makes through offering its clients products or services.
3% = $365
365/3*100 =$12,166.6666667
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A bicycle manufacturer builds both Racing bikes and Recreational bikes from it's local warehouse. It takes one person 5 hours to assemble a Racing bike and 2 hours to finish painting it. It takes one person 4 hours to assemble a Recreational bike and 3 hours to finish painting it. Assembly can take no more than 180 hours throughout the week, and painting can take no more than 135 hours hours per week. If x represents the number of Racing bikes and y represents the number of Recreational bikes, which of the following systems represents the weekly constraints on assembly and painting?
The system of inequality that represents the weekly constraints on assembly and painting is;
5x + 4y ≤ 180
2x + 3y ≤ 135
How to create a system of inequalities?
We are told that;
x represents the number of Racing bikes.
y represents the number of Recreational bikes
It takes one person 5 hours to assemble a Racing bike and 2 hours to finish painting it.
It takes one person 4 hours to assemble a Recreational bike and 3 hours to finish painting it.
Assembly can take no more than 180 hours throughout the week. This means ≤ 180
Painting can take no more than 135 hours hours per week. This means ≤ 135. Thus, the inequalities are;
5x + 4y ≤ 180
2x + 3y ≤ 135
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What is 9/10 written as a percent? Responses
Answer:
90% is the answer
Step-by-step explanation:
hope this helps.
Find the point P that is 2/5 of the way from A to B on the directed line segment AB if A(-8,-2) and B (6,19)
The coordinates of the point P that is 2/5 of the way from A to B are:
P = (-5.6, 11,2)
How to find point P?If we want to find a point that is 2/5 of the way between two points (x₁, y₁) and (x₂, y₂), then we need to use the formula:
( (3/5)x₁ + (2/5)x₂, (3/5)y₁ + (2/5)y₂)
Here the two points are (-8, -2) and (6, 19), using the above formula we will get the point P:
P = ( (3/5)*-8 + (2/5)*-2, (3/5)*6 + (2/5)*19)
P = (-5.6, 11,2)
These are the coordinates of the point P.
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pls help ASAP! thank you in advance :)
The features of each function shown on Cartesian plane:
Function 1: Domain: 2 ≤ x < 3, Range: 1 < y ≤ 3, y = - 2 · x + 7
Function 2: Domain: - 4 ≤ x < 4, Range: - 4 ≤ y < - 2, y = (5 / 9) · x² - 2
How to determine the domain and range of a function
In this question we must the determine the domain and the range of each of two functions. The set of elements for the domain corresponds to the horizontal axis of the Cartesian plane, represented by variable x, while the vertical axis corresponds to the vertical axis of that plane, represented by variable y.
Now we proceed to determine the domain and the range of each function:
Function 1
Domain: 2 ≤ x < 3, Range: 1 < y ≤ 3
The definition of the function is:
3 = 2 · m + b
2 = 2.5 · m + b
(m, b) = (- 2, 7)
y = - 2 · x + 7
Function 2
Domain: - 4 ≤ x < 4, Range: - 4 ≤ y < - 2
The definition of the function is:
y + 2 = C · x²
3 + 2 = C · 3²
5 = 9 · C
C = 5 / 9
y + 2 = (5 / 9) · x²
y = (5 / 9) · x² - 2
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Evaluate 10.2x + 9.4y when x = and y = 3
The expression 10.2x + 9.4y when x = and y = 3 is 38. 4
What is an algebraic expression?An algebraic expression can be defined as an expression that is composed of terms, constants, coefficients, variables and factors.
These algebraic expressions are also made up of mathematical operations such as;
DivisionAdditionSubtractionParenthesesMultiplicationBracket. etcFrom the information given, we have the algebraic expression;
10.2x + 9.4y
Now, let's substitute the values of x as 1 and y as 3 into the expression, we have;
10.2(1) + 9.4(3)
expand the bracket
10. 2 + 28. 2
Add the values
38.4
Hence, the value is 38.4
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you have 345321 dogs, 928822 pigs,and 1873652 cats. how many dogs do you have
Answer:345321
Step-by-step explanation:
you said it?
a researcher obtained a correlation of .52 between variable a and variable b. what is the best interpretation of this correlation?
If the correlation between variables a and b is +0.52, then it shows that as value on A increases, the value on B increases
The correlation between variable a and variable b = +0.52
The correlation is defined as the statistical variable that show the relationship between the variables. So when one variable increases another variable increase or if one variable decreases another variable decreases. So correlation show the the variable changes at constant rate.
In the given details
The correlation between variable a and variable b is +0.52. The sign of the correlation is positive so variable a is increasing and the variable b will also increases at constant rate
Therefore, the best interpretation of correlation is as value on A increases, the value on B increases
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I need help with number 1
118°
The overall shape is a quadrilateral. meaning total angles on the inside = 360°
each side is equal and therefore both CDE and CFE are the same. 90 + 34 = 124
360 - 124 = 236
236/2 = 118 therefore you answer is 118°
Is this relation a function? Justify your answer. 11 10 9 8 7 6 5 4 3 2 1 -. 1 2 3 4 5 6 7 8 9 10 11 A. No, because two points with the same x-value have different y values. B. Yes, because the number of x-values is the same as the number of y values. C. No, because two points with the same y-value have different x- values. D. Yes, because every x- and y-value is positive.
Answer: A. No, because two points with the same x-value have different y values.
Step-by-step explanation: A function is a relation in which each element in the domain (the set of x-values) is paired with exactly one element in the range (the set of y-values). If there are two points with the same x-value but different y-values, then there is more than one y-value for a given x-value, which violates the definition of a function. Therefore, the given relation is not a function.
given that 2p x 8q = 2n , express n in terms of p and q
Answer:
n = p+3q
Step-by-step explanation:
2^p x 8^q = 2^n
Exponent rules
Rewriting 8 as 2^3
2^p x 2^3^q = 2^n
Using the rule a^b^c = a^(b*c)
2^p x 2^3q = 2^n
Using the rule a^b * a^c = a^(b+c)
2 ^(p+3q) = 2^n
Since the bases are the same, the exponents are the same
p+3q = n
Answer:
[tex] \sf \: p + 3q = n[/tex]
Step-by-step explanation:
[tex]2^p*8^q=2^n[/tex]
First, write 8^q as a power of 2.
[tex]2^p*8^q=2^n\\2^p*2^3^q=2^n[/tex]
As all the bases are same, exponents are also equal.
Now add the powers.
∴ p + 3q = n
Two types of alien live on the planet Starlight: Zoomas have 3 eyes
and 2 legs and Popsies have 4 eyes and 5 legs. How many of each
type of alien might there be if there are 38 eyes and 37 legs?
After the linear equation method the answer is 6 Zoomas and 5 Popsies.
What is an linear equation?
Equations with the highest degree of 1 are called linear equations. This means that the exponent of the variable in the linear equation is greater than 1. The graph of a linear equation is always a straight line.
There is a linear equation in one variable and a linear equation in two variables.
It is given that there are two types of alien live on the planet Starlight Zoomas and Popsies.
Zoomas have 3 eyes and 2 legs
Popsies have 4 eyes and 5 legs
There are total 38 eyes and 37 legs
Let there are x number of Zoomas and y number of Popsies.
According to question:
3x + 4y = 38 ..........(1)
2x + 5y = 37 ...............(2)
Solve the above system of equation.
Find the value of x from the equation(1)
3x + 4y = 38
3x = 38 - 4y
x = [tex]\frac{38-4y}{3}[/tex]
Substitute this value of x in equation(2)
2( [tex]\frac{38-4y}{3}[/tex]) + 5y = 37
⇒ [tex]\frac{76-8y}{3}+5y = 37[/tex]
⇒ [tex]\frac{76-8y+15y}{3}=37[/tex]
⇒ 76 + 7y = 111
⇒ 7y = 111 - 76
⇒ 7y = 35
⇒ y = 35/7 = 5
Substitute this value of y in the value of x
x = [tex]\frac{38-4y}{3}[/tex]
x = [tex]\frac{38-4(5)}{3}=\frac{38-20}{3}=\frac{18}{3}=6[/tex]
Therefore, there are 6 Zoomas and 5 Popsies.
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4) Ellie drives 169 miles from Sheffield to London,
She drives at an average speed of 65 miles per hour.
She leaves Sheffield at 6:30 am.
Does she arrive in London before 9:00 am?
You must show your working.
Answer: no
Step-by-step explanation: because 65x3=165 then it will be 9:30 already so she will be late by 30 minutes
Solve each system by elimination: 3x-2y=19 5x+4y=17
Answer: x= 5 y= -2
Step-by-step explanation: Time 2 to eliminate the y
6x - 4y = 38
5x + 4y =17
11x = 55
x= 5
Then put 5 in for the x, and you will get, y = -2
The triangles below are similar. Solve for X.
Answer: x=26
Step-by-step explanation:
a^2+b^2=c^2
28.2^2-16^2=539.24
square root 539.24=23.2
23.2^2+11^2=659.24
square root 659.24=25.7
x=25.7 or 26
please help
its just 7th grade math Im bad at math
Answer:
B
Step-by-step explanation:
since it is already finalized that 200 lbs worth of computers have been loaded onto the truck, that will be a number by itself in the equation. However, the number of boxes of books is not finalized, and the question is asking you to create an inequality that may help find the amount of full boxes that can be loaded onto the truck without exceeding the weight limit of 1400 lbs.
hope this helps!!! :3
URGENT! Complete the proof that m
Images below. Match the answers/statements to the number options above..
Put the reasons for lines 1 through 6 in order below.
The two column proof to show that m∠G + m∠K + m∠GHK = 180° is as detailed below.
How to carry out the two column proof?A two-column proof is basically a geometric proof that consists of a list of statements, and the reasons for which those statements are true. The two column proof in this regard are;
Statement 1: GH║HJ
Reason 1: Given
Statement 2: ∠G ≅ ∠IHJ
Reason 2: Corresponding angles theorem
Statement 3: ∠K ≅ ∠JHK
Reason 3: Alternate Interior angles theorem
Statement 4: m∠IHK ≅ M∠IHJ + m∠JHK
Reason 4: Additive property of angle measure
Statement 5: m∠IHK ≅ m∠G + m∠K
Reason 5: Substitution property
Statement 6: m∠IHK + m∠GHK = 180°
Reason 6: Angles forming a linear pair sum to 180°
Statement 7: m∠G + m∠K + m∠GHK = 180°
Reason 7: Substitution
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Write the percent as a fraction and as a decimal.
3
-%
15
What is the fraction equivalent?
(Type a whole number, fraction, or mixed number.)
(a) The fraction for the given percentage is 3% = 3/100 and its decimal number is 0.03.
(b) The fraction for the given percentage is 15% = 15/100 = 3/20 and its decimal number is 0.15.
Here the fractions 15/100 and 3/20 are equivalents.
What are equivalent fractions?Two fractions whose numerators and denominators are different but whose value is the same are said to be equivalent fractions.
For example, a/b = k and c/d = k. Then a/b = c/d.
The fractions a/b and c/d are equivalent fractions.
Calculation:Given percentages are 3% and 15%.
A percentage is a ratio of the parts in the whole of 100 parts.
So, 3% = 3/100
This is nothing but a fraction.
To convert it into decimals, divide the numerator by the denominator. So, we get 3/100 = 0.03.
Similarly, for 15%, the fraction is 15/100
This fraction when divided by 5 in both numerator and denomiantor, we get (15/5)/(100/5) = 3/20
So, the fraction 3/20 is the equivalent fraction for the fraction 15/100 Since their values are the same i.e., 0.15. Thus, the decimal number for those fractions is 0.15.
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suppose that10% of people are left handed. if7people are selected at random, what is the probability thatexactly 2 of them are left handed?
Given that 10% of people are left-handed, the likelihood that there will be exactly 2 left-handed individuals is 0.098415. if a random selection of 7 people is made.
what is percentage ?10%, a comparative figure denoting one hundredth of any quantity. One percent (symbolized as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified. percentage. Math percentile is a related topic.
As a result:
10% of people identify as left-handed.
P(left-handed) = 0.1 is the probability of success.
Selection number (n) equals six
The number of left hands in the selection (x) is precisely 2 P(6, 2) = 6C2 * 0.1 * (1 - 0.1) (6-2)
P(6, 2) = 15 * 0.01 * 0.6561\P(6, 2)
= 0.098415
Given that 10% of people are left-handed, the likelihood that there will be exactly 2 left-handed individuals is 0.098415. if a random selection of 7 people is made.
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And also this one please very important please
Answer:
B. x = 5 +i√5 and x = 5 - i√5
Step-by-step explanation:
due now pls help!!!!!!!!!!!!
Pythagorean Theorem we get x is 8.
What is the Pythagorean theorem ?The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, [tex]a^2 + b^2[/tex], are equal to the squares on the legs.To determine the undiscovered side of a right-angled triangle, utilize the Pythagoras theorem. The hypotenuse (third side) of a right-angled triangle, for instance, can be determined using the formula [tex]c^2 = a^2 + b^2[/tex], where 'c' stands for the hypotenuse and 'a' and 'b' are the two legs.given :
Hypotenuse = 10
base = 6
unknown leg x = [tex]\sqrt{10^2 - 6^2}[/tex] = [tex]\sqrt{64}[/tex] = 8
x =8 .
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Which expression below is equal to 6(2x+4) - x² +15-x?
A. x² +11x +9
C. 14x +39
B. x² +11x +39
D. 10x² +9
Answer:
B
Step-by-step explanation:
[tex]6(2x+4) - x^2+15-x\\=12x + 24-x^2+15-x\\=-x^2+24+15+12x-x\\=-x^2+11x+39[/tex]
The closest answer you have provided is B.
If sin 0 = 7/25, use the Pythagorean Identity to find cos 0.
Answer:
cosФ = [tex]\frac{17}{25}[/tex]
Step-by-step explanation:
the sin and cos are the same and for tan it's flipped.
What is the solution to the system of equations?
2x+6y=-28
x + 3y = -14
Because when two linear equations graph this very same line, a system of two linear simultaneous equations variables cannot be solved.
What in mathematics is a linear equation?A linear equation seems to be an algebraic equation of something like the form y=mx+b, where m is the slope as well as b is the y-intercept, and only a constant and an initial-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Briefing:2x+6y=-28 (i)
x + 3y = -14 (ii)
Subtract 3y from both sides of the equation(ii)
[tex]\begin{matrix}&x=-14-3y\\&2x+6y=-28\\\end{matrix}[/tex]
Replace all occurrences of x with -14-3y in each equation.
Replace all occurrences of x in 2x+6y=-28 with -14-3y.
[tex]\begin{matrix}&2(-14-3y)+6y=-28\\&x=-14-3y\\\end{matrix}[/tex]
Simplify the left side.
Simplify 2(-14-3y)+6y.
[tex]\begin{matrix}&\ -28=-28\\&x=-14-3y\\\end{matrix}[/tex]
Remove any equations from the system that are always true.
[tex]x=-14-3 y[/tex]
there is no solution for the given equation.
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Adriyana is making a kite. Triangle ΔABC has a perimeter of 38 and AC≅DC as well as BD≅BA.
Find the measure of DC
If a Triangle ΔABC has a perimeter of 38 and AC≅DC as well as BD≅BA than the side DC can be measures as CD=38-AB-BC if AB and BC are given.
What is a triangle?A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.
What is a formula of perimeter of triangle?In the case of a triangle, the perimeter will be the sum of all the three sides. If a triangle has three sides a, b and c, then, Perimeter, P = a + b +c
As the perimeter of a triangle ABC is
Perimeter=AB+BC+CA
And we are given with only the perimeter of triangle;
P=38m
Now;
As given condition is;
AB=BD, AC=CD So;
38=AB+BC+CD
And
CD=38-AB-BC
If then length of the sides of AB and BC are provided we can calculate the value of CD
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