For the number -(4 / 7), the additive inverse would be (4 / 7).
The additive inverse of a number is the number that when added to the original number, the result is 0. In other words, it is the opposite of the original number.
To see this, let's add -(4 / 7) and (4 / 7) together:
-(4 / 7) + (4 / 7) = 0
This is because the negative sign in front of the fraction indicates that the fraction is the opposite of (4 / 7). So adding the two fractions together cancels out the opposite and results in 0.
In summary, the additive inverse of -(4 / 7) is (4 / 7) because adding the two fractions together results in 0, which is the definition of an additive inverse.
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Is (3,8) a solution to this system of equations?
y=53x+3y=73x+1
yes or no
Answer:
[tex] \textcolor{green}{ \textbf{no}}[/tex]
[tex] x = \frac{1}{10} , y = \frac{83}{10} [/tex]
Step-by-step explanation:
y=53x+3
y=73x+1
Solve y = 53x + 3 for equ 2 | equ means equation
[tex] \sf \: 53x + 3 = 73x + 1[/tex]
Substract 73x from both sides
[tex] \sf \: 53x - 73x + 3 = 1[/tex]
Solve 53x - 73x
[tex] \sf - 20x + 3 = 1[/tex]
Substract 3 from both sides
[tex] \sf - 20x + 3 - 3 = 1 - 3[/tex]
Solve
[tex] \sf \: - 20x = - 2[/tex]
Divide both sides by -20
[tex] \sf \frac{- 20x}{ - 20}= \frac{ - 2}{ - 20} [/tex]
Solve
[tex] \sf x = \frac{1}{10} [/tex]
[tex] \sf ------------------------------------------------- [/tex]
Substitute x = 1/10 into equ 1
[tex] \sf y = 53x + 3[/tex]
Insert x = 1/10
[tex] \sf y = 53( \frac{1}{10} ) + 3[/tex]
multiply 54 by the numerator which is 1
[tex] \sf \: y = \frac{53}{10} + 3[/tex]
Turn 3 to 3/1
[tex] \sf \: y = \frac{53}{10} + \frac{3}{1} [/tex]
L.C.M = 10
[tex] \sf y = \frac{ \frac{53}{10} \times 10 \: + \: \frac{3}{1} \times 10 }{10} [/tex]
Simplify
[tex] \sf \: y = \frac{53 + 30}{10} [/tex]
Calculate 53+30
[tex] \sf \: y = \frac{83}{10} [/tex]
Rate my answer
select all the irrational numbers, pls ive been stuck for like 20 minutes
Answer: 15
Step-by-step explanation:
15 can't be divided by two and make a non-repeating decimal.
Slope intercept form of this equation?
From linear equation of a line,
y=mx+c or y=mx+b
Slope of a line is m and y-intercept is c (or b).
So first we have to make y the subject in
→8x+y=9
→y= - 8x+9
y = mx + c
Hence slope is (-8) and y-intercept is 9.
for x-intercept, put y=0 and we get
0 = -8x+9
x=-8/-9
x= 8/9
therefore x intercept is 8/9.
Suppose 10 people arrive at a bank at the same time. In how many ways can they line up to wait for the next available teller? a) O 10 b) O 362,880 c) O 40,320 d) O 100 e) 3,628,800 1) O None of the above.
None of the above. The answer is 10! (10 factorial) which number is 3,628,800.
The number of ways to arrange 10 people in a line is 10! (10 factorial). This is equal to 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 which is 3,628,800.
The answer to the question is 10! (10 factorial). This is because in order to determine the number of ways to arrange 10 people in a line, you must multiply the number of people by every number between that number and 1. In this case, it would be 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 which is 3,628,800.
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Help with geometry Similar triangles ABC ~ ___ by ___ with a scale factor of ___
Answer choices RST, TSR, SRT, STR, or None
Side Side Side, Side Angle Side, Angle Angle, or None
1:6, 1:3, 4:15, or N/A
Both the triangles are not similar.
Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.
Two triangles are comparable if they have two pairs of sides that are in the same ratio and if the included angles are likewise equal.
The square of any ratio between any two matching sides of two comparable triangles is equal to the ratio of their areas. As an illustration, Area of ABC/Area of DEF equals (AB)2/(DE)2 = (BC)2/(EF)2 = (AC)2(DF)2 for any two comparable triangles ABC and DEF.
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can any one explain why you have to do Addition and Subtraction in Scientific Notation or how we will use it in the real world
We must remember to multiply each integer by a power of 10 while subtracting numbers in scientific notation.
what is significant figures ?A value's accuracy is influenced by the number of significant digits in the value, which is frequently a measurement. Count the significant digits starting with the first non-zero digit. All zeros are permitted in the decimal places to the right of the last non-zero place. Consider the five significant digits in the number 0.0079800. Any zeros to the right of the last non-zero digit, when they come from the measurement, are significant. rounding an integer to 3 significant digits and 3 decimal places is identical. Go up to three and begin counting at the first digit that is not zero. Remove the last digit after that. The final two digits to the right of the decimal point should be increased by zeros.
To make it simple to subtract these integers, they must all be in the same power, as demonstrated in the example below.
5×10^2−3×10^2=
5(100)−3(100)^2×10^2=
(500−300)^2×10^2
=200
However, before continuing, we must restate the numbers in similar powers of ten if the powers of ten for the numbers to be subtracted are not the same.
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a student estimated a mass to be 325g, but upon carefully measuring it, found the actual mass to be 342g.what is the percent error?
Answer:
4.97% is your answer
Step-by-step explanation:
What is the image of the point 2/3 in the line?
The image of the point (2, 3) in the line y=−x is (-3, -2).
Let there be a point P(2, 3) on the cartesian plane. The image of this point in the line y=−x will lie on a line that is perpendicular to this line and the distance of this point from y=−x will be equal to the distance of the image from this line.
Let Q be the image of p and let the co-ordinate of Q be (h, k)
The slope of line y=−x is −1
Line joining P, Q will be perpendicular to y=−x so, its slope =1.
Let the equation of the line be y=x+c since this passes through points (2,3)
3=2+c⇒c=1
and the equation y=x+1
The point of intersection R lies in the middle of P & Q. Point of the intersection of lines y=−x and y=x+1 is
2y =1 , y= [tex]\frac{1}{2}[/tex] and x = [tex]-\frac{1}{2}[/tex]
Hence, [tex]\frac{h+2}{2} = -\frac{1}{2}[/tex] and [tex]\frac{k+3}{2} = \frac{1}{2}[/tex]
⇒ h=−3 and k =−2
So, the image of the point (2, 3) in the line y=−x is (-3, -2).
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The correct question is:
What is the image of the point (2,3) in the line y= -x?
a.
You made a critical assumption in problem 4-56 when you made a probability
area model and multiplied the probabilities.
Blood type is affected by genetic inheritance. What if Zack and Nick were
related to each other? What if they were brothers or father and son? How
could that affect the possible outcomes?
b. What has to be true in order to assume a probability area model will give
an accurate theoretical probability?
(a) They are no longer independent because they are related and will more than likely have related blood types. (b) A probability area model will give an accurate theoretical probability is they must be independent.
What is genetic inheritance?Genetic information is transmitted from parent to kid through inheritance. Members of the same family typically share traits in common because of this. The process of fertilizations occurs during sexual reproduction when the sperm and egg cells join forces to create the first cell of the new organism.
Genetic material from the two parents is present in each of the newborn's cells. If you look at the shared traits of family members, such as average height, nose and ear shape, eye and hair color, and hair and eye color, you can see how genetic material is passed down.
Blood type is affected by genetic inheritance. if they were brothers or father and son then they are no longer independent because they are related and will more than likely have related blood types.
true in order to assume a probability area model will give an accurate theoretical probability is they must be independent.
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p) find a1 for the geometric sequence
Sn = 46560 r = 4 n = 4
The first term of the Geometric Sequence will be 9,312.
What is Geometric Sequence?It is a sequence in which every term (except the first term, a) is multiplied by a constant number (common ratio, r) to get its next term. i.e., To get the next term in the sequence, we have to multiply with the common ratio, and to find the preceding term, we just have to divide the term by the same common ratio.
[tex]Sum = \frac{a(r^{n} - 1) }{r - 1}[/tex]
where;
Sn = 46560
r = 4
n = 4
[tex]46560 = \frac{a(4^{4} - 1) }{4 - 1}\\46560 = \frac{a(16 - 1) }{3}\\\\46560 = \frac{a(15\\) }{3}\\\\\\46560 = \frac{a(15\\) }{3}\\\\\\[/tex]
46560 = 5a
a = 9,312
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In two or more complete sentences explain how to balance the chemical equation and classify its reaction type.
_P₁+0₂_P₂03
Answer:
A balanced chemical equation is defined as the equation in which total number of individual atoms on the reactant side is equal to the total number of individual atoms on the product side. These equations follow law of conservation of mass.
Record each of the equations in slope intercept form ( y=Mx+b)
The equations are recorded in slope intercept form as below
equation slope intercept form
y + x = 3 y = -x + 3
2x + y = x + 4 y = -x + 4
x + y = -3 y = -x - 3
What is slope intercept form of linear equation?A linear function consists of functions where the variables has exponents of 1.
The graph of linear functions is a straight line graph and the relationship is expressed in the slope intercept form as shown below.
y = mx + b
definition of variable
y = output variable
m = slope
x = input variable
b = y intercept
The equation are written in the form y = mx + b as below
y + x = 3
rearranging the equation
y = -x + 3
2x + y = x + 4
rearranging the equation
y = -2x + x + 4
y = -x + 4
\
x + y = -3
rearranging the equation
y = -x - 3
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What is the length of the hypotenuse of a 45 45 90 triangle?
The length of the hypotenuse of a 45 45 90 triangle with one side of length 8 is 8√2.
The length of the hypotenuse of a 45 45 90 triangle can be calculated using the Pythagorean Theorem. The Pythagorean Theorem states that the sum of the squares of the two sides of a right triangle is equal to the square of the hypotenuse. This can be expressed mathematically as a2 + b2 = c2, where a and b represent the lengths of the two sides and c represents the length of the hypotenuse.
In a 45 45 90 triangle, both sides are equal in length. This means that the mathematical equation simplifies to a2 + a2 = c2 or 2a2 = c2. To calculate the length of the hypotenuse, we can solve for c by taking the square root of both sides, resulting in c = √2a.
In this particular example, if the length of one of the sides is 8, then the length of the hypotenuse can be calculated as c = √2(8) = 8√2. Therefore, the length of the hypotenuse of a 45 45 90 triangle with one side of length 8 is 8√2.
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Find the area of the shaded region.
9.8 m13.25 m2.5 m2.5 m4.75 m
The area is ?
m2.
The shaded region composed of triangle and square has an area of 28 in²
What is an equation?An equation is an expression relating two or more numbers and variables.
The area of a rectangle is the amount of space occupied by the rectangle. It is given by:
Area = length * width
From the diagram:
Area of rectangle = length * width = 8 in * 5 in = 40 in²
Area of triangle = (1/2) * base * height = (1/2) * 8 in * 3 in = 12 in²
Area of shaded region = Area of rectangle - Area of triangle = 40 in² - 12 in² = 28 in²
The shaded region area is 28 in²
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The head of a hammer is located 9 cm to the left of its
center of mass, while the bottom of the handle of the
hammer is 29 cm to the right of the center of mass. Determine the length of the hammer. Justify your
answer using an appropriate geometry principle (definition, theorem, etc.)
The length of this hammer is going to be 38cm
What is length?Length has the dimension of distance in the International System of Quantities. The majority of measuring systems choose a base unit for length from which all other units are derived.
The formula that we would use to get the length is
r₁ + r₂ = L
Where r₁ is the lenght 9 cm from the head
29 cm is the length from the bottom
When we add these two, we would have the length of the hammer
29 + 9 = 38cm'
Hence the length of the hammer is 38 cm
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2) You go out to breakfast and order a meal that costs $7.24
and a coffee that costs $2.65. You want to leave a 15% tip.
How much will you leave for a tip?
Answer:
$1.48
Step-by-step explanation:
Meal cost: $7.24
Coffee cost: $2.65
Total cost: $9.89
Now we need to find 15% of 9.89.
This is a percentage question, we need to first multiply 9.89 with 15% then divide it by 100%:
9.89 × 15 ÷ 100 = 1.48 approximately.
could someone pls help
Answer:
the answer is y = -4x + 5
Step-by-step explanation:
Im dum i cant explain it :D
Please help me with my class work
Answer:
3/2m^5n
Step-by-step explanation:
9m^8n^5÷6m^3n^4
(9/6)(m^8/m^3)(n^5/n^4)
3/2m^5n
JK 12 and JN = 7
M
J
N
L
K
!!!40points!!!
It will take you t seconds to carry the water, which you will do y times a day. What is the total amount of
time you will be carrying water?
How many hours would you spend carrying water in a year?
Give me an expression, evaluation, and explanation and I will make you the brainliest.
Identify variables
T (time) seconds
Y amount of times per day
T * Y = amount of time you would spend carrying water in a day, 24 hrs
365 * t * y = 365 (amount of days per year, multiplied by the amount of time you carry water per day).
What is variables?In programming, a variable is a value that can change, depending on conditions or on information passed to the program. Typically, a program consists of instruction s that tell the computer what to do and data that the program uses when it is running. The data consists of constants or fixed values that never change and variable values (which are usually initialized to "0" or some default value because the actual values will be supplied by a program's user).Usually, both constants and variables are defined as certain data type s. Each data type prescribes and limits the form of the data. Examples of data types include: an integer expressed as a decimal number, or a string of text characters, usually limited in length.In object-oriented programming , each object contains the data variables of the class it is an instance of. The object's method s are designed to handle the actual values that are supplied to the object when the object is being used.To learn more about decimal number refer to:
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Joe delivers newspapers. He earns a fixed salary for the first 30 hours and then additional
pay for any time over 30 hours. During one week, he worked 40 hours and earned $180.
Another week he worked 45 hours and earned $210. What was Joe's weekly salary and
overtime pay per hour?
Therefore ,the linear function that best describes the scatterplot relating the number of books in the library is y = 10 + 8x
What is linear function?Two separate but related concepts are referred to as linear functions in mathematics: A polynomial function of degree 0 or 1 is referred to as a linear function in calculus and related fields if its graph is a straight line.
Here,
The points given on the scatterplot are (0,10),(4,42),(8,74) & (12,106)
By putting in the points in the given linear functions
y = 8 − 10x
y = 8 + 10x
In mathematics, the term "linear function" refers to two distinct but related ideas: In calculus and related subjects, a polynomial function of degree 0 or 1 is referred to as a linear function if its graph is a straight line.
y = 10 − 8x
y = 10 + 8x
Thus ,the linear function which best satisfy the points given on the scatterplot is y = 10 + 8x
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Viola graphed the function f(x)=3x-12 on a coordinate plane. Which
statement about this graph is true of all functions?
It is a linear graph.
It has a positive correlation.
It assigns a specific input to each output.
It assigns a unique output to each input.
Answer: It assigns a unique output to each input.
This statement is true of all functions, including the function f(x) = 3x - 12.
A function assigns a unique output to each input, meaning that for each value of x that is input into the function, there is a corresponding and unique value of y that is output. This is also called the vertical line test, if for any vertical line cuts the graph of a function at most one time, it is a function.
It does not matter whether it is linear or nonlinear or whether the correlation is positive or negative, the statement that It assigns a unique output to each input is true for all functions.
Step-by-step explanation:
Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 10≤x≤15.
x f(x)
5 13
10 17
15 21
20 25
The average rate of change is 0.8
What is average rate of change?It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.
Given:
x f(x)
5 13
10 17
15 21
20 25
As, The rate of change of the function is its gradient or slope.
So, the formula for calculating the gradient of a function is expressed as:
m = [tex](y_2 - y_1)/ (x_2 - x_1)[/tex]
Using the coordinate points from the table (5, 13) and (10, 17)
Substitute the coordinate into the expression:
m = (17- 13)/ (10 - 5)
m = 4 /5
m = 0.8
Hence, the average rate of change is 0.8.
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What circles are drawn on a volleyball score sheet?
What shapes are the circles on the volleyball score A blanket, sheet, plastic sheet, or other similar item is used by each squad. Each team starts with one ball and tosses and catches the others' balls in the blanket.
Fouls. A foul is when a player engages in play that is not permitted by the rules. A double foul occurs when two opposing players violate the rules at the same moment. A double hit occurs when a player makes several, or multiple consecutive, unlawful contacts. If a player steps above the service counter or centerline, they have made a foot error. The play court, which is 18 metres long and 9 metres wide, is surrounded by a free space that is actually 3 metres wide. The area that is at least 7 metres above the playing field and designated as the free performance space.
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Miss Howard is baking cookies for her friends. She buys 5 pounds of flour and spends a total of $11. What is the cost for each pound of flour?
Answer:
[tex]\huge\boxed{\sf \$ 2.2}[/tex]
Step-by-step explanation:
From the question,5 pounds of flour = $11
Divide both sides by 55/5 pound of flour = $11 / 5
1 pound of flour = $2.2[tex]\rule[225]{225}{2}[/tex]
33. What is the value of 0.41128 divided by 0.3 correct to two decimal places
Answer :
0.41128 ÷ 0.30.41128 × 100000 ÷ 0.3 × 10000041128 ÷ 3000041128 [tex]\sqrt{x}[/tex] 300001.370933333331.370931.37ANS- 1.378 identically sized squares of paper have been placed on top of one another.which one is at the bottom?
Since 8 is at the bottom where 8 equally sized squares of paper have been stacked on top of one another, the sequence is 82543671, therefore 8.
What is sequence?A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important.
Similar to a set, it has members (also called elements, or terms).
The length of the series is the number of elements (potentially infinite). In contrast to a set, the same items might appear more than once in a sequence at various points, and unlike a set, the order is important.
A sequence can be described formally as a function from natural numbers (the positions of the sequence's elements) to the items at each of those positions.
An indexed family, which is a function from any index set, can be thought of as a generalization of the idea of a sequence.
For instance, the letter combinations (M, A, R, and Y) have the.
According to our question-
It is evident from the figure that 1 is a top.
I must locate Bottom 1.
6 is less than 7
If 3 weren't below 6, then 6 wouldn't be visible.
In the absence of 4, half of 3 would have been covered.
Unless 5 is below 4, 4 would have been covered.
Unless 2 is less than 5, half of 5 would have been covered.
If 8 were above 2, 2 would have been covered.
The sequence is 82543671.
therefore 8 is at the bottom.
Hence, Since 8 is at the bottom where 8 equally sized squares of paper have been stacked on top of one another, the sequence is 82543671, therefore 8.
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What is f1 and f2 in lens?
F1 and F2 refer to the two principal focal lengths of a lens.
The two main focal lengths of a lens are referred to as f1 and f2 in the field of optics. The first principal focal length, or f1, is the distance from the lens to the point where parallel light rays, which have already passed through the lens, condense into a single point known as the focal point.
The second principal focal length, or f2, is the distance from the lens to the point where light rays diverging from a single point will appear to converge after passing through the lens. The distance from the lens to the point at which the light rays converge or diverge is known as the focal length. The values of f1 and f2, respectively, depend on the shape and type of the lens.
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y varies inversely with x. Write an equation relating x and y.
Then find the indicated value. Show your work.
y = 3 when x = 8. Find the value of y when
x = 6.
y = 9 when x = 6. Find the value of x when
y = 4.
y= 1.5 when x = 14. Find the value of y when
x = 9.
y = 20 when x = 10. Find the value of x when
y = 25.
The equation of variation is xy = k.
The required values are given below.
What is proportional relationship?A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.
Given:
y inversely varies as x.
That means, y ∝ 1/x.
So, y = kx, where k constant of variation.
Then, x × y = k
When y = 8, x = 3.
k = 3 × 8 = 24
So, the equation of variation is xy = 24.
When x = 6,
6y = 24
⇒ y = 4
When y = 9, x = 6.
k = 6 × 9 = 54
So, the equation of variation is xy = 54.
When y = 4,
4x = 54
⇒ x = 27/2
When y = 1.5, x = 14.
k = 1.5 × 14 = 21
So, the equation of variation is xy = 21.
When x = 9,
9y = 21
⇒ y = 7/3
When y = 20, x = 10.
k = 20 × 10 = 200
So, the equation of variation is xy = 200.
When y = 25,
25x = 200
⇒ x = 8
Therefore, the values are given above.
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Determine all minors and cofactors of 2 -8 5 3 9 6 -1 -2 -3
The minors of the 2 x 3 matrix are -3, -2, -1, 9, -2, -3, 6, and 5. The cofactors are -18, 16, 5, -3, -18, 18, 3, -12, and -5.
Minor of 2: -3
Cofactor of 2: -18
Minor of -8: -2
Cofactor of -8: 16
Minor of 5: -1
Cofactor of 5: 5
Minor of 3: 9
Cofactor of 3: -3
Minor of 9: -2
Cofactor of 9: -18
Minor of 6: -3
Cofactor of 6: 18
Minor of -1: -3
Cofactor of -1: 3
Minor of -2: 6
Cofactor of -2: -12
Minor of -3: 5
Cofactor of -3: -5
The minors of the 2 x 3 matrix are -3, -2, -1, 9, -2, -3, 6, and 5. The cofactors are -18, 16, 5, -3, -18, 18, 3, -12, and -5.
The given 2 x 3 matrix is composed of the values 2, -8, 5, 3, 9, 6, -1, -2, and -3. The minors of the matrix can be found by using the Laplace expansion formula and removing the row and column of the element in question. This yields the minors -3, -2, -1, 9, -2, -3, 6, and 5. The cofactors of the matrix can be calculated by taking the determinant of the minor and multiplying it by the sign of the element in question. This results in the cofactors -18, 16, 5, -3, -18, 18, 3, -12, and -5.
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