Answer:
13,19,2,73,89
Step-by-step explanation:
all of these numbers can't be divided by any number but 1 and the number itself
Which of the following inequalities is represented on the graph?
Number line showing range from negative five to five. The left end point is a closed dot at negative two, with a ray pointing right past five.
Responses
x ≥ –2
x ≥ –2
x ≤ –2
x ≤ –2
x > –2
x > –2
x < –2
The inequalities represented on the graph is x ≥ -2.
What are graph of inequalities?In mathematics, an inequality is a mathematical expression where neither side is equal. Inequality in mathematics is defined as a comparison between two expressions or two numbers that is not equal. In mathematics, there are several varieties of inequality, including polynomial inequality, rational inequality, and absolute value inequality.
Given that,
Number line showing range from negative five to five. The left end point is a closed dot at negative two, with a ray pointing right past five.
From the above we observe that point on negative 2 is a closed dot hence the inequality would be ≥ or ≤.
Now, the ray point past five, that is it moves in positive direction.
Hence, the inequalities represented on the graph is x ≥ -2.
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G for the following 4 transfer functions, calculate the roots and based on the roots plot the response to a step response. This is supposed to be a pen and paper exercise close to how i solved a similar problem in class. G(s)=400/s^2+12s+400g(s)=900/s^2+90s+900g(s)=225/s^2+30s+225g(s)=625/s^2+625
These roots are also complex conjugates, so the step response will be oscillatory with a decay factor. The response will look like a damped sinusoid. the value of s1 and s2 is 25i and -25j.
Here are the solutions for the given transfer functions and the corresponding step response plots:
G(s) =[tex]400 / (s^2 + 12s + 400)[/tex]
First, let's find the roots of the denominator:
[tex]s^2 + 12s + 400 = 0[/tex]
Using the quadratic formula, we get:
s1 = -6 + 14.96j
s2 = -6 - 14.96j
These roots are complex conjugates, so the step response will be oscillatory with a decay factor. The response will look like a damped sinusoid.
G(s) =[tex]900 / (s^2 + 90s + 900)[/tex]
The denominator can be factored as [tex](s + 45)^2[/tex]. Therefore, the roots are:
s1 = s2 = -45
Since both roots are negative and equal, the response will be critically damped.
G(s) = [tex]225 / (s^2 + 30s + 225)[/tex]
The denominator can be factored as[tex](s + 15)^2[/tex]. Therefore, the roots are:
s1 = s2 = -15
Again, since both roots are negative and equal, the response will be critically damped.
G(s) = [tex]625 / (s^2 + 625)[/tex]
The denominator can be factored as (s + 25j)(s - 25j). Therefore, the roots are:
s1 = 25j
s2 = -25j
Note: The step response plots can be sketched by considering the damping ratio and natural frequency of each transfer function. For critically damped systems, the response reaches steady-state the fastest, but it also overshoots the most.
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Given the two concentric circles with center N below, LN = 13.5. Find the area of
the shaded region. Round your answer to the nearest tenth if necessary.
Answer:
371.5 square units.
Step-by-step explanation:
the shaded region is a ring-shaped region between the two concentric circles, we can find the area of the shaded region as follows:
The area of the large circle is given by:
Area of large circle = π × r^2
where r is the radius of the large circle, which is 13.5.
Area of large circle = 22/7× (13.5)^2
Area of large circle ≈ 572.78
The area of the small circle is given by:
Area of small circle = π × r^2
where r is the radius of the small circle, which is 8.
Area of small circle = 22/7× (8)^2
Area of small circle ≈ 201.14
The area of the shaded region is the difference between the area of the large circle and the area of the small circle:
Area of shaded region = Area of large circle - Area of small circle
Area of shaded region ≈ 572.78 - 201.14
Area of shaded region ≈ 371.5
Therefore, the approximate area of the shaded region is 371.5square units.
Answer:
The area of the shaded region is 371.5 square units to the nearest tenth.
Step-by-step explanation:
To find the area of the shaded region of two concentric circles with a common center, subtract the area of the smaller circle from the area of the larger circle.
The formula for the area of a circle is A = πr², where r is the radius of the circle.
From inspection of the given diagram:
The radius of the larger circle is LN = 13.5.The radius of the smaller circle is MN = 8.Therefore, the area of the shaded region is:
[tex]\begin{aligned}\textsf{Area of shaded region}&=\textsf{Area of larger circle}-\textsf{Area of smaller circle}\\&=\pi (13.5)^2-\pi (8)^2\\&=182.25 \pi - 64 \pi\\&=118.25 \pi\\&=371.493331...\\&=371.5\; \sf unit^2\;\;(nearest\;tenth)\end{aligned}[/tex]
The area of the shaded region is 371.5 square units to the nearest tenth.
what is 4/1 = and what is 8/ =1
Answer:
4/1 = 4
8/1 = 8
Any number divided by 1 is always that number itself.
Rey's total payment for his student loan was $24,506. What was his monthly payment if he paid it off after making 120 monthly payments?
Un ganadero tiene un terreno trapezoidal como el que se muestra en el dibujo. En este terreno se crían borregos a razón de 100 animales por cada 10 000 m².
a) ¿Cuál es el área del terreno? ______________________
b) ¿Cuántos diez miles caben en el terreno? ____________
c) ¿Cuántos animales se crían en el terreno? ____________
The area of the land is equal to 40,000 m².
The number of ten thousand that can fit on the ground is 4.
The number of animals is equal to 400 animals.
How to calculate the area of a trapezoid?Mathematically, the area of a trapezoid can be calculated by using this mathematical expression:
Area of trapezoid, A = ½ × (a + b) × h
Where:
a and b represent the base areas of a trapezoid.h represent the height of a trapezoid.By substituting the given parameters, we have the following:
Area of trapezoid, A = ½ × (a + b) × h
Area of trapezoid, A = ½ × (250 + 150) × 200
Area of trapezoid, A = (400) × 100
Area of trapezoid, A = 40,000 m².
For the number of ten thousand that can fit on the ground, we have:
Number of ten thousand = 40,000/10,000
Number of ten thousand = 4.
Finally, we would determine the number of animals as follows;
100 animals = 10,000 m²
x animals = 40,000 m²
By cross-multiplying, we have:
x = (40,000 × 100)/10,000
x = 400 animals.
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Complete Question:
A rancher has a trapezoidal terrain like the one shown in the drawing. Sheep are raised on this land at a rate of 100 animals per 10,000 m²
a) What is the area of the land?
b) How many ten thousand can fit on the ground?
c) How many animals are raised on the land?
Given the functions f(x) and g(x) below, find all solutions to the equation
f(x) = g(x) to the nearest hundredth.
f(x) = -0.25x³ - x² + 1.3x - 1.8
g(x) = |0.6x|- 7.7
Answer:
The solutions to the equation f(x) = g(x) are approximately -4.59, -4.36, 2.11, and 2.84.
Step-by-step explanation:
To solve the eqation f(x) = g(x), we need to set the expressions for f(x) and g(x) equal to each other and solve for x. However, since g(x) involves an absolute value, we will need to consider two cases: one where 0.6x is positive, and one where it is negative.
Case 1: 0.6x is positive
In this case, we can write the equation as:
-0.25x³ - x² + 1.3x - 1.8 = 0.6x - 7.7
Simplifying, we get:
-0.25x³ - x² + 0.7x + 5.9 = 0
We can solve this equation using numerical methods, such as graphing or using a calculator, to find that x ≈ -4.59 and x ≈ 2.84.
Case 2: 0.6x is negative
In this case, we can write the equation as:
-0.25x³ - x² + 1.3x - 1.8 = -0.6x - 7.7
Simplifying, we get:
-0.25x³ - x² + 1.9x + 5.9 = 0
Again, we can use numerical methods to solve this equation and find that x ≈ -4.36 and x ≈ 2.11.
Therefore, the solutions to the equation f(x) = g(x) are approximately -4.59, -4.36, 2.11, and 2.84.
Answer:
Step-by-step explanation:Evaluate x + 23 when x = −14 . If you missed this problem, review Example 4.9.15.
Evaluate 15 − y when y = −5. If you missed this problem, review Example 3.6.12.
Solve n−7 = 42. If you missed this problem, review Example 4.12.5.
Simplify (x^2+4x+4)/(x^2-4)/(x^2-x-6)/(x^2-5x+6)
PLEASE SHOW ALL WORK FOR BRAINLIEST! IDC IF YOU POST A PHOTO OF YOUR WORK :))
Therefore , the solution of the given problem of expression comes out to be the simplified expression is (x + 2) / (x - 5)(x - 1).
Describe Expression.There is a requirement for mathematical operations as addition, multiplication, and division. When combined, they produce the following: A mathematical operator, some data, and an equation A statement of fact contains values, parameters, and mathematical operations including additions, subtractions, multiplications, and divisions. It is possible to contrast and compare various sentences and words.
Here,
First, let's factor all the quadratics in the expression:
x^2 + 4x + 4 = (x + 2)^2
x^2 - 4 = (x + 2)(x - 2)
x^2 - x - 6 = (x - 3)(x + 2)
x^2 - 5x + 6 = (x - 2)(x - 3)
Now, we can rewrite the expression as:
[(x + 2)^2 / (x + 2)(x - 2)] * [(x - 2)(x - 3) / (x - 3)(x + 2)] * [(x + 2)(x - 3) / (x - 2)(x - 3)] * [(x - 2)(x - 3) / (x - 5)(x - 1)]
Notice that the (x + 2)(x - 3) terms cancel out in the numerator and denominator of the second and third fractions, respectively. Also, (x - 2)(x - 3) cancels out in the numerator and denominator of the third and fourth fractions, respectively.
Simplifying these terms, we are left with:
= [(x + 2) / (x - 2)] * [(x - 2) / (x - 5)(x - 1)]
= (x + 2) / (x - 5)(x - 1)
Therefore, the simplified expression is (x + 2) / (x - 5)(x - 1).
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Calculate the total number of water tankers that were supplied to the project on the construction site by the water tanker in march 2022
The total number of water tankers that were supplied to the project on the construction site by the water tanker in march 2022 is, 96.
What is mean by Multiplication?Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.
Given that;
The company has to supply a minimum of 12 water tankers and a maximum of 16 water tankers to the construction site on weekdays except on Saturdays which is limited to the minimum of 4 water tankers a day.
Hence, We get;
Total number of water tanks loads are = 12 × 5 = 80
Here, On Saturdays, the company supplied a minimum of 4 water tankers, for a total of 16 water loads.
Thus, the total number of water loads supplied to the project on the construction site by the water tanker in March 2022 is,
⇒ 80 + 16
⇒ 96
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Complete question is this,
the company has to supply a minimum of 12 water tankers and a maximum of 16 water tankers to the construction site on weekdays except on Saturdays which is limited to the minimum of 4 water tankers a day. Calculate the total number of water loads that were supplied to the project on the constitution site by the water tanker in March 2022
Write each phrase as an algebraic expression.
14. n divided by 8.
15. p multiplied by 4
16. b plus 14.
17. 90 times x,
18. a take away 16.
19. k less than 24
20. 3 groups of w
21. the sum of 1 and q
22. the quotient of 13 and z.
23. cadded to 45
Each phrase can be epressed as an algebraic expression as:
n/8
4p,
b+14
90x
-16
24-k
3(w)
1+q
13/z
45+c
w-8
What is algebraic expression?An expression that uses constant algebraic numbers, variables, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). A good example of an algebraic expression is 3x2 2xy + c.
A variable expression can be described using its terms and operations on the terms as an algebraic expression. For instance, "3 more than x" can be used to describe x + 3.
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When can a correlation coefficient based on an observational study be used to support a claim of cause and effect? Never When the correlation coefficient is close to -1 or +1. When the correlation coefficient is equal to -1 or +1. When the scatterplot of the data has little vertical variation.
Never. Correlation coefficients are used to measure the strength of a linear relationship between two variables, not to prove cause and effect. To determine causation, it is necessary to conduct an experiment or study in which the independent variable is manipulated and the dependent variable is measured.
Correlation coefficients are used to measure the strength of a linear relationship between two variables. They can measure the degree to which variables move together, but they cannot be used to prove cause and effect. To determine causation, it is necessary to perform an experiment or study in which one variable is manipulated and the other is measured. This allows researchers to control for confounding variables and to determine if the manipulation of the independent variable had a direct effect on the dependent variable. Therefore, correlation coefficients cannot be used to support a claim of cause and effect.
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Please show working out. 25 pts
Answer:
Step-by-step explanation:
With this the probabiitiy is high. In saying that look at 3 that is your answer. So that answer would be mostly 0.100. Hope this helps
What is sin in terms of the sides
The correct option is A.
Describe Right Triangle?A right triangle is a type of triangle in which one of its angles measures exactly 90 degrees (π/2 radians). This angle is called the right angle, and it is located opposite to the longest side of the triangle, which is called the hypotenuse. The other two sides are called the legs of the triangle.
The Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs, is one of the most important properties of right triangles. This theorem can be written algebraically as:
a^2 + b^2 = c^2
where a and b are the lengths of the legs, and c is the length of the hypotenuse.
Right triangles also have several other important properties, including:
The acute angles (those that are not the right angle) are complementary, which means that their sum is equal to 90 degrees.
The side opposite the right angle is always the longest side (the hypotenuse).
The legs are always perpendicular to each other.
The altitude (height) from the right angle to the hypotenuse divides the triangle into two smaller triangles that are similar to the original triangle and to each other.
Right triangles are used in many areas of mathematics and science, including trigonometry, calculus, geometry, physics, and engineering. They are also used in practical applications, such as in construction, surveying, and navigation.
In a right triangle EFG, where angle EFG = θ, the sine of θ is defined as the ratio of the length of the side opposite θ (EF) to the length of the hypotenuse (EG). Therefore, the answer is:
A. sin(θ) = EF/EG
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what percent of the children spend over 10 hours per day unsupervised? (round your answer to four decimal places.)
The percentage of children who spend over 10 hours per day unsupervised will be 0.005%.
What is Z-score?A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,
We have been Given that the average time that is unsupervised is 3 hours and the standard deviation is 1.8 hours. The percentage of children who spend over 10 hours per day unsupervised can be calculated as,
P(X>10) = 1 - P(X<10)
= 1 - P(Z< 3.889)
= 1 - 0.99995
= 0.00005
Hence, The percentage is 0.005%.
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The complete question is
Suppose 4-year-olds in a certain country average 3 hours a day unsupervised and that most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.8 hours and the amount of time spent alone is normally distributed. We randomly survey one 4-year-old living in a rural area. We are interested in the amount of time the child spends alone per day. What percent of the children spend over 10 hours per day unsupervised?
i need help i dont under stand so i took a picture of it bc its to much words i need help with part A and part B
Answer:
Part A:
Method B was solved incorrectly. The mistake that Sylvan made was in misinterpreting the problem. He used the number 12 as the value of one of the digits in the dividend, when it actually represents the number of bags of apples in the market.
Part B:
To solve the problem using Method B, we need to understand that the number 12 represents the number of bags of apples in one of the 64 bags. Therefore, we can find the total number of bags of apples by multiplying the number of bags by 12. This gives us:
64 x 12 = 768
Now, we can divide 768 by 10 to find the number of ten-pound bags of apples:
768 ÷ 10 = 76.8
Therefore, there are 76 ten-pound bags of apples in the market.
For Method A, Sylvan made no mistake, so there is no need to solve the problem again.
Ms. Howard spent 1/3 of her monthly salary on groceries and I/4 of it on entertainment. She spent 2/5 of the remainder on transportation. She then had $270 left. Find Ms. Howard’s salary
Ms. Howard's salary would be $360. Below, you will learn how to solve the problem.
Ms. Howard's salary can be found by first calculating the amount of money spent on groceries, entertainment, and transportation. 1/3 of her monthly salary was spent on groceries, so that would be $(1/3)x where x is her salary, 1/4 of her monthly salary was spent on entertainment, so that would be $(1/4)x. 2/5 of the remaining amount was spent on transportation, which is $(2/5)(x-(1/3)x-(1/4)x).
Ms. Howard then had $270 left, so we can set up the equation:
$(1/3)x + $(1/4)x + $(2/5)(x-(1/3)x-(1/4)x) = 270
Solving for x, Ms. Howard's salary would be $360.
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how to convert 0.02 btc to usd?
0.02 Bitcoin is in dollar is 497.928000 US Dollar (USD)
1 Bitcoin = 24872.70 US Dollar (USD)
so 0.02 bitcoin in dollar is
0.02 * 42872.70 = 497.928000 US Dollar (USD)
Bitcoin has a high inverse correlation with the US Dollar Index (DXY). This makes conceptual sense as it has a fixed supply and is most commonly traded against the US dollar more than any other currency. Now, looking at the weekly data from early 2018, the correlation is around -70% (R2 is 0.5877).
Volker successfully curbed the extreme inflation of the late 1970s and early 1980s with aggressive monetary policy, pushing the dollar to a very high level. Like today, the U.S. hasn't experienced similarly high levels of inflation and may have already peaked. As a result, the US dollar is unlikely to hit her early 1980s highs.
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Refer to the figure below. In triangle ABC, Angle B = Angle C. Given that point D is on BC,angle BAD = 50 degrees , AE = AE. Then what is angle EDC.
PLS ANSWER ASAP
The value of the angle ∠EDC is 25 degrees for the triangle ABC.
What are exterior angles?According to the exterior angle theorem, an external angle's measure is equal to the sum of its remote interior angles' two opposite measures. Let's review a few fundamental facts concerning triangle angles: Three of a triangle's interior angles always add up to 180 degrees. This theorem is applied to all six of the exterior angles of the object. In order to make a linear pair of angles, an outer angle must be complementary to the neighbouring interior angle.
Given that, ∠B = ∠C and ∠BAD = 50 degrees.
Now, AE = AD hence, ∠ADE = ∠AED
Let ∠ADE = ∠AED = y.
From triangle ADC we have:
∠ADC = y + z
y + z = 50 + ∠B (exterior angles)
∠B = y + z - 50
Now, ∠B = ∠C thus,
∠C = y + z - 50
In triangle EDC we have:
∠E = x + y (exterior angles)
Also,
∠E + ∠D + ∠C = 180 (sum of interior angles of a triangle)
(x + y) + z + (y + z - 50) = 180
x + 2y + 2z = 230.........(1)
In triangle ADE,
x + 2y = 180
Substituting the values in 1 we have:
180 + 2z = 230
z = 25
Hence, the value of the angle ∠EDC is 25 degrees for the triangle ABC.
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The complete question is:
Refer to the figure below. In triangle ABC, Angle B = Angle C. Given that point D is on BC,angle BAD = 50 degrees , AE = AE. Then what is angle EDC.
Nathan measured a line to be 10.6 inches long is the actual length of the line is 11.1 inches, then what was the percent error in the measurement, to the nearest 10th of a percent?
The solution is, the percent error of the measurement is 4.5%.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
To calculate the error, we first need to subtract Christopher measurement of the line by the actual length of the line to find the absolute error:
11.1 - 10.6 = 0.5
The absolute error is 0.1 inches.
Now, to know the percent error, we need to divide this value of error by the actual length of the line:
0.5 /11.1
= 0.045
= 4.50%
= 4.5%
So the percent error of the measurement is 4.5%
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Of the 650 students at Westmoreland
Junior High, 4% will receive a perfect
attendance award. How many students will
receive the award?
Answer:
26 Students
Step-by-step explanation:
4% is also 0.04 multiplied by the number of students. 650 * 0.04 = 26
What are the coordinates of the focus of the parabola?
y=−0.25x^2+6
Please answer asap
The set of equation that models the point of intersection of the arrow
and the target is the option; y = -0.004·x² + 0.25·x + 8 and y = 0.22·x
What is parabola?A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line which is known as the directrix. Parabola is an integral part of conic section topic and all its concepts parabola are covered here.
here, we have,
The given parameters are;
Point of intersection of the line and the parabola is the point (48.63, 10.7)
Therefore, the point (48.63, 10.7) satisfies both the equation of the
parabola and the equation of the line, which by plugging in the value x =
48.67 in the different parabolas, we have;
The first set;
y = -0.004 × 48.67² + 0.25 × 48.67 + 8 ≈ 10.7, which corresponds with the ordered pair.
The linear function in the first set should be excluded, given y ≠ x in the
ordered pair.
In third set,
y = -0.004 × 48.67² + 0.25 × 48.67 + 8 ≈ 10.7,
while, from the ordered pair, we have;
y = C·x
10.7 = 48.63·x
Therefore;
y ≈ 0.22·x
The set of equations that best models the point of intersection of the arrow and target are therefore;
y = -0.004·x² + 0.25·x + 8 and y = 0.22·x
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2 7/8 pounds of cheese used 1 1/4 to make sandwiches how much is left
first off, let's convert all mixed fractions to improper fractions.
[tex]\stackrel{mixed}{2\frac{7}{8}}\implies \cfrac{2\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{23}{8}} ~\hfill \stackrel{mixed}{1\frac{1}{4}} \implies \cfrac{1\cdot 4+1}{4} \implies \stackrel{improper}{\cfrac{5}{4}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ whole }{\cfrac{23}{8}}-\stackrel{ used }{\cfrac{5}{4}}\implies \cfrac{(1)23~~ - ~~(2)5}{\underset{\textit{using this LCD}}{8}}\implies \cfrac{23-10}{8}\implies \cfrac{13}{8}\implies \stackrel{ leftover }{1\frac{5}{8}}[/tex]
Can someone give me the answer please IF I DON'T GET THIS RIGHT I MIGHT NOT PASS SCHOOL
The two longest ribbons that were cut from the spool measure a combined 132 inches in length.
Describe Calculus Expression?A combination of variables, constants, and mathematical operations like addition, subtraction, multiplication, and division make up an algebraic expression in mathematics. Mathematical, scientific, engineering, and engineering problems are represented and solved using algebraic expressions.
One or more variables, which represent unknowable or varying quantities, and one or more constants, which represent fixed values, can both be present in an algebraic expression. Typically, the variables are represented by letters like x, y, or z. The symbols +, -, x, and y, respectively, stand in for addition, subtraction, multiplication, and division. Additionally, terms are grouped and the order of operations are indicated by using parentheses.
For instance, the mathematical formula 3x + 2y - 5 combines the two variables x and y with the three constants 3, 2, and 5. While -5 is a constant term, the terms 3x and 2y are the variables multiplied by their coefficients.
By combining like terms, or terms with the same variable raised to the same power, algebraic expressions can be made simpler. For instance, the terms 3x and 4x, as well as 2y and -3y, are like terms in the expression 3x + 2y - 5 + 4x - 3y. These terms combined result in the abbreviated expression 7x - y - 5.
Mathematical operations like solving equations, graphing functions, and evaluating formulas all use algebraic expressions. Additionally, they are used in practical applications like figuring out interest rates, resolving optimization issues, and simulating natural phenomena.
The two longest ribbons cut from the spool are those with lengths of 63 and 69, according to the provided stem-and-leaf plot. Their total is therefore:
63 + 69 = 132
So, the total length of the 2 longest ribbons cut from the spool is 132 inches.
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PLEEASEEE HELP ME ASAP!!
Answer:
The slope of the dotted line is -1. The slope of the solid line is 4.
write the ratio of 30c to $4.50 in simplest form.
how do you find axis reflection calculator ?
To find the axis of reflection for a given object or shape, follow these steps:
1. On a coordinate plane, draw the shape or object. You can do this with graph paper or a computer programme.
2. Find the reflection point or line. This will be the reflection axis. A line that divides a shape or object into two mirror images is referred to as the axis of reflection.
3. Determine the axis of reflection equation. If the axis of reflection is a straight line, the equation is x = a, where an is a constant. If the reflection axis is a horizontal line, the equation will be y = b, where b is a constant.
4. Reflect the shape or object across the axis of reflection to check your work. To accomplish this, flip the shape or object across the axis of reflection and ensure that it appears identical to the original shape or object.
You can also use an online axis of reflection calculator to find the axis of reflection for a given shape or object. To find an axis of reflection calculator, simply type "axis of reflection calculator" into your preferred search engine and select one of the results.
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Its in the form of a picture
The equations that are parallel to the given line are C. 6x + 2y = -4 and D. 6x - 2y = -4.
What is the slope-intercept form?
The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.
Two lines are parallel if they have the same slope. The given line y = 3x - 5 is in slope-intercept form, which means its slope is 3.
A line in slope-intercept form has the equation y = mx + b, where m is the slope and b is the y-intercept. Therefore, any line of the form y = 3x + c, where c is a constant, will have a slope of 3 and be parallel to the given line.
Let's check each of the given equations to see which ones are of this form:
A. y = 3x - 7: This equation has the same slope as the given line, but it is not in the form y = 3x + c. Therefore, it is not parallel to the given line.
B. y = -3x - 5: This equation has a slope of -3, which is not the same as the slope of the given line. Therefore, it is not parallel to the given line.
C. 6x + 2y = -4: We can rearrange this equation to slope-intercept form by solving for y:
2y = -6x - 4
y = -3x - 2
This equation has the same slope as the given line, so it is parallel to the given line.
D. 6x - 2y = -4: We can rearrange this equation to slope-intercept form by solving for y:
-2y = -6x - 4
y = 3x + 2
This equation has the same slope as the given line, so it is also parallel to the given line.
Therefore, the equations that are parallel to the given line are C. 6x + 2y = -4 and D. 6x - 2y = -4.
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What is the actual length of the living space if the length in the scale drawing is 16. 8 in the scale
The actual length of the living area is 134.4 feet if the length in the scale drawing is 16.8 in the scale.
To determine the actual length of the living space from a scale drawing, we need to use the scale factor, which is the ratio of the length in the drawing to the actual length. If the length in the scale drawing is 16.8 inches and the scale is given as a ratio of 1 inch in the drawing to 8 feet in actual size, we can set up a proportion:
1 inch (drawing) / 8 feet (actual)
= 16.8 inches (drawing) / x (actual)
We can cross-multiply and simplify to find x's value:
1 inch × x = 8 feet × 16.8 inches
x = (8 feet × 16.8 inches) / 1 inch
x = 134.4 feet.
Therefore, the actual length of the living space is 134.4 feet.
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Write the number below as a fraction in its simplest form
answer:
answer:1/8
answer:1/8explanation :
answer:1/8explanation :0.125 as a fraction in simplest form is 1/8
answer:1/8explanation :0.125 as a fraction in simplest form is 1/8Step 2: Find the HCF or the highest common factor of 125 and 1000.
answer:1/8explanation :0.125 as a fraction in simplest form is 1/8Step 2: Find the HCF or the highest common factor of 125 and 1000.hope this helped.
what are scalene triangles
A scalene triangle is a triangle with three different side lengths and three different angle measurements.
All of the sides of the triangle known as the Scalene Triangle are of various lengths. It indicates that all three angles and all three sides of a scalene triangle are of different sizes. According to sides, there are three different kinds of triangles.
We'll go over its definition, formulas for its area and perimeter, and its characteristics. The sides and angles of the triangles are used to define them. A triangle is represented as a three-sided polygon in geometry and is a closed, two-dimensional plane object having three sides and three angles. There are three edges and three vertices on it.
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