Answer:
y = - 5x + 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
10x + 2y = - 2 ( subtract 10x from both sides )
2y = - 10x - 2 ( divide through by 2 )
y = - 5x - 1 ← in slope- intercept form
• Parallel lines have equal slopes , then
y = - 5x + c ← is the partial equation
to find c substitute (1, - 2 ) into the partial equation
- 2 = - 5 + c ⇒ c = - 2 + 5 = 3
y = - 5x + 3 ← equation of parallel line
Answer: y = - 5x + 3
Step-by-step explanation: i took the test
Which variable is discrete? length of jacket length of jacket weight of jacket weight of jacket number of pockets inside jacket number of pockets inside jacket size of jacket pocket in square inches size of jacket pocket in square inches
Discrete variables are Number of pockets inside the jacket .
A variable whose value is determined by counting is referred to as a discrete variable. examples: the number of students in attendance. how many red marbles are in the jar. number of heads when three coins are flipped. The number of students, kids, the shoe size, and so forth are some typical examples of discrete data. Height, weight, length, time, temperature, age, and other continuous data are typical examples. Discrete data are represented by integer and ordinal data values. Continuous Variable. "Discrete variables" are variables that have a finite number of possible values. Each and every qualitative variable is discrete. Certain quantitative variables, like performance ratings of 1, 2, 3, 4, or 5, or temperature rounded to the nearest degree, are discrete.
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Pleasee helppppp! I will mark BRAINLIEST!!
The mass of a paperclip is 9.0 × 10−4 mg. If a box of paperclips has 6.14 × 104 paperclips, determine the total mass of the paperclips in the box. Write the final answer in scientific notation with the correct number of significant digits. 2.86 × 100 mg 5 × 101 mg 5.5 × 101 mg 5.526 × 101 mg
The total mass of the box of paperclips in scientific notation is 5.526 × 10¹ miligrams. (Correct choice: D)
What is the mass of a box of paperclips in scientific notation?
In this question we must use, interpret and manipulate numbers in scientific notation to find the total mass of the paperclips in a box. The statement indicates the mass of a paperclip and the number of paperclips in the box, then the total mass of the box of paperclips is equal to the product of mass of the paperclip and the number of paperclips. Then, the total mass in the box is:
m = (9.0 × 10⁻⁴ mg) · (6.14 × 10⁴)
m = (9.0 · 6.14) · (10⁻⁴ · 10⁴)
m = 55.26 · 10⁰
m = 55.26 mg
m = 5.526 × 10¹ mg
The total mass of the box of paperclips in scientific notation is 5.526 × 10¹ miligrams. (Correct choice: D)
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Simplify the quantity 9 minus two thirds times the square root of 9 end quantity squared plus the quantity 1 minus 6 end quantity squared.
74
24
495
1,225
Answer:
1225
Step-by-step explanation: i did the tesr b
The diagonals of parallelogram LMNO intersect at point P. If MP = 2x + 5 and OP = 3x − 7, what is MP?
29
12
1
−2
The measure of the segment MP is 29 units.
In this question we have been given a parallelogram LMNO
The diagonals of parallelogram LMNO intersect at point P.
The diagonals of parallelogram LMNO are LN and MO.
The point P divides each diagonal into exactly two equal parts.
So, MP = OP
If MP = 2x + 5 and OP = 3x − 7, we need to find MP.
As, MP = OP
2x + 5 = 3x − 7
2x - 3x = -7 - 5
-x = -12
x = 12
So, the value of the MP would be,
MP = 2x + 5
= 2(12) + 5
= 24 + 5
= 29
Therefore, the measure of the segment MP is 29 units.
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M=rp+c solve the equation below for p
In M = rp+c, the equation illustrated shows that the value for p is p = (M - c)/r.
How to illustrate the information?It should be noted that in Mathematics, an equation is used to illustrate or show the relationship that can be found with the variables that are expressed.
In this case, it should be noted that the given equation is illustrated as:
M = rp + c
Subtract c from both sides
M - c = rp + c - c
M - c = rp
Divide through by r
(M - c) / r = rp/r
p = (M - c)/r
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Which inequality is represented by the number line?
The inequality represented by the number line is x ≤ -6
What is straight line?A straight line of numbers is shown visually as a number line. . On a horizontal number line, the numbers grow as we walk to the right and decrease as we move to the left.
Given that,
The response must include both a less than and a negative sign.
At -6, the graph displays a closed circle.
which means that -6 is a solution to the inequality.
The darkened arrow on all values greater than -6 denotes that x -6 is the proper inequality.
The inequality represented by the number line is x ≤ -6
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Solve each equation.
3{x}=27
The value of x for the equation 3ˣ = 27 is 3.
What is a linear equation?A linear equation with one variable is one that has just one variable. It has the formula Ax + B = 0, with A and B being any two real integers and x being an ambiguous variable with just one possible value. One such linear equation in one variable is 9x + 78 = 18.
One method for expressing a linear equation is in the slope-intercept form (the equation of a line). Y = mx+b, where m is the slope and b is the y-intercept, is the formula for the slope-intercept form (the point where the line crosses the y-axis). Using y=mx+b to graph a line is often simple.
The equation is -
3ˣ = 27
It can be expressed as -
3ˣ = 3³
x= 3
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find the product of 3x^4y^5 and 2x^2+y
help d-7 < 12; d = 19
Answer:
12 ≮ 12
False
Step-by-step explanation:
19 − 7 < 12
12 ≮ 12 (<--- line through the less than sign)
False
(I'm not 100% sure)
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{d - 7 < 12}\\\\\mathsf{\rightarrow 19 - 7 < 12}\\\\\mathsf{\rightarrow 12 < 12}\\\\\large\text{Thus, the left and right should be equivalent to each other.}\\\\\mathsf{12 \nless 12}\\\\\mathsf{12 = 12}[/tex]
[tex]\huge\text{The correct symbol should be: \boxed{\mathsf{\boxed{=}\ because\ the}}}\\\\\huge\boxed{\mathsf{numbers\ are\ equal\ to\ each\ other.}}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]How is 14,398 written in scientific notation?
The given number written in scientific notation is 1.4398 × 10⁴
From the question, we are to write the given number in scientific notation.
The given number is 14,398.
A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
Thus,
To write the numbers in scientific notation, we will express the number as the multiplication of a number between 1 and 10 and a power of 10.
A number between 1 and 10 that can easily be formed from the number is 1.4398
Then, we can write that
14,398 = 1.4398 × 10⁴
Hence, the given number written in scientific notation is 1.4398 × 10⁴
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The measure of an angle's supplement is 51 degress less than the measure of the angle. Find the measures of the a and its supplement
Step-by-step explanation:
supplementary angles mean that they are together 180°.
so,
a + (a - 51) = 180
2a - 51 = 180
2a = 231
a = 115.5°
its supplement is 180 - 115.5 = 64.5°
The measure of the angle's supplement is 64.5 degrees.
Let's denote the measure of the angle as "a" degrees. The supplement of an angle is the angle that, when added to the given angle, results in a total of 180 degrees (because the sum of angles in a straight line is 180 degrees).
According to the problem, the measure of the angle's supplement is 51 degrees less than the measure of the angle. Mathematically, we can express this as:
Supplement angle = Angle - 51
Since the sum of the angle and its supplement is 180 degrees, we can write the equation:
Angle + Supplement angle = 180
Substitute the expression for the supplement angle:
a + (a - 51) = 180
Combine like terms:
2a - 51 = 180
Now, solve for "a":
2a = 180 + 51
2a = 231
a = 231 / 2
a = 115.5
So, the measure of the angle "a" is 115.5 degrees.
Now, to find the supplement angle:
Supplement angle = a - 51 = 115.5 - 51 = 64.5
Therefore, the measure of the angle's supplement is 64.5 degrees.
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I need some help TwT
2.64 + -0.2 + -0.35 + 0.625=?
Answer: 2.715
Step-by-step explanation:
Answer:
2.715
Step-by-step explanation:
We have 2.64 - 0.2 - 0.35 + 0.625.
2.64 - 0.2 = 2.44
2.44 - 0.35 + 0.625
Next, we subtract 0.35 from 2.44
2.09 + 0.625 = 2.715
Rationalize the denominator of each expression. Assume that all variables are positive. 5√3x³ / 2y
The rationalization the denominator of the given expression is [tex]\frac{5\sqrt{6}x^3 }{2\sqrt{y} }[/tex] .
Rationalization can be thought of as the process used to remove the base or imaginary number from the denominator of an algebraic fraction. That is, remove the radical of the fraction so that the denominator contains only rational numbers. Radicals are expressions that use roots such as: B. Square root or cube root. For example, an expression of the form: √(a + b) is a root.The mathematical conjugate of any binomial means another exact binomial with opposite signs between the two terms.We have given an expression [tex]\frac{5\sqrt{3}x^3 }{\sqrt{2y} }[/tex] .
The denominator of the expression is [tex]\sqrt{2y}[/tex] .
Multiply the fraction in the numerator and denominator by [tex]\sqrt{2y}[/tex] , we get
[tex]\frac{5\sqrt{3}x^3\times\sqrt{2y} }{\sqrt{2y} \times\sqrt{2y} }=\frac{5\sqrt{6}x^3\sqrt{y} }{2y}[/tex]
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At a carnival, single rides cost $2 each, and all day ride passes cost $15. The total revenue for the day was $2,960. Which equation can be used to represent x, the number of single ride passes sold and y, the number of all day ride passes sold?
2x + 15y = 2,960
12x + 5y = 2,960
15x + 2y = 2,960
17x + 15y = 2,960
Answer:
2x + 15y + 2,960
Step-by-step explanation:
Single Rides are $2 each, represented by x
All day passes are $15 each represented by y
Combined they equal the total revenue; 2,960.
02.05 MC)
The functions f(x) = −x + 3 and g(x) are shown in the graph. The function g(x) is a transformation of f(x), such that g(x) = kf(x), where k is a rational number.
Graph of linear function f of x going through negative 1 comma 4, 0 comma 3, and 1 comma 2 and linear function g of x going through negative 1 comma 8, 0 comma 6, and 1 comma 4. The functions intersect at 3 comma 0.
Which of the following statements describes the effect and value of k?
a
The graph of g(x) is a vertical stretch of the graph of f(x); the k value is positive and greater than 1.
b
The graph of g(x) is a vertical compression of the graph of f(x); the k value is positive and less than 1.
c
The graph of g(x) is a vertical stretch of the graph of f(x); the k value is positive and less than 1.
d
The graph of g(x) is a vertical compression of the graph of f(x); the k value is positive and greater than 1.
The statements that describes the effect and value of k in the functions f(x) = −x + 3 and g(x) as shown in the graph where function g(x) is a transformation of f(x), such that g(x) = kf(x) and k is a rational number, is
a. The graph of g(x) is a vertical stretch of the graph of f(x); the k value is positive and greater than 1.
What is vertical stretch?A vertical stretch refers to a movement in the upward direction. A transformation that leads to a vertical stretch is as a result of multiplying by a positive number that is above or greater than 1.
The given graphs f(x) was factored and this lead to a vertical stretch to produce g(x), and the factor that leads to vertical stretch is a positive number greater that 1. Hence we say that The graph of g(x) is a vertical stretch of the graph of f(x); the k value is positive and greater than 1.
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The equation y=6.72(1.014) x models the world population y , in billions of people, x years after the year 2000 . Find the year in which the world population is about 8 billion.
the population will reach 8 billion by 2012 ,as calculated by properties of logarithm.
What is Logarithm?The opposite of exponentiation is the logarithm.This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.Given:
y = 6.72 ( [tex]1.014^x[/tex]), wherey = population in billionsx = time in yearsTo find: Year when population is 8 billion, i.e., y = 8.
Finding:
8 = 6.72 ( [tex]1.014^x[/tex])
=> [tex]\frac{8}{6.72}= ( 1.014^x)[/tex]
Taking log on both sides
=> [tex]log(\frac{8}{6.72})= log( 1.014^x)[/tex]
=> log(1.19) = x (log 1.014) (as [tex]log_b(a)^m = m (log_b(a))[/tex] )
=> [tex]\frac{log(1.19)}{log (1.014)}[/tex] = x
=> x = [tex]\frac{0.0755}{0.006}[/tex]
=> x = 12.58
Hence, the population will reach 8 billion by 2012 ,as calculated by properties of logarithm.
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A family plans to have 3 children. For each birth, assume that the probability of a boy is the same as the probability of a girl. What is the probability that they will have at least one boy and at least one girl?.
Answer:
0.75
Step-by-step explanation:
The outcomes are equally likely, so the easiest way to work this problem is to write out the 8 outcomes in this sample space. In two outcomes the gender of all three children is the same (GGG, BBB). The other 6 outcomes contain at least one boy and one girl.
*Please mark brainliest
1. Which fraction is greater? a. 5/2 b. 9/4 please help me
Answer: 5/2
Step-by-step explanation:
5/2 is greater because divided it’s 2.4 and 9/4 is 2.25. 2.5 > 2.25.
A line has one endpoint of (-3,7) and a midpoint of (5,2). What is the other endpoint ?
The another endpoint of a line is (13, -3).
What is Straight line?
A line with no curve is called a straight line.
Given that;
One endpoint of a line = (-3, 7)
Midpoint of a line = (5, 2).
Now, Let the other endpoint of a line = (x, y)
Then, Other endpoint is solve by the definition of midpoint of two points as;
(x + (-3) / 2 , y + 7 / 2 ) = (5, 2)
(x - 3 / 2 , y + 7 / 2) = (5, 2)
By compare we get;
x - 3/ 2 = 5
x - 3 = 2 * 5
x - 3 = 10
x = 10 + 3
x = 13
And,
y + 7 / 2 = 2
y + 7 = 2 * 2
y + 7 = 4
y = 4 - 7
y = -3
Hence, The another endpoint of a line is (13, -3).
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Darren is purchasing a car that costs $12,000. He is taking out a simple interest loan at an annual rate of 3%. If he makes monthly payments over a period of 3 years, how much is his monthly payment?
$363.33
$349.12
$333.33
$296.13
Based on the cost of the car and the simple interest loan amount, the amount of Darren's monthly payment is $363.33
What is the monthly payment?First, find the simple interest on the loan:
= 12,000 x 3% x 3 years
= $1,080
The total amount to be repaid:
= 1,080 + 12,000
= $13,080
The monthly payment is:
= 13,080 / (12 x 3 years)
= $363.33
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Answer: its 363.33
Step-by-step explanation:
Please Help! Determine the range of the following graph:
Answer:
-4 ≤ y ≤ 2
Step-by-step explanation:
You want the range of the graph shown.
RangeThe range of a relation is the set of output values of the relation, the vertical extent of its graph.
The graph shown extends continuously from an absolute minimum of y=-4 to an absolute maximum of y=2.
The range is -4 ≤ y ≤ 2.
Find the value of a^2+b when a=-2and b=5
Answer:
9
Step-by-step explanation:
Just substitute -2 in for a and 5 in for b
[tex]a^2 + b\\-2^2 + 5\\4 + 5\\9[/tex]
Whenever you square a negative number the result is positive
Answer:
The answer is 9 or 3squared
Step-by-step explanation:
Swap the -2 in for a and 5 in for b
When ever a negative number is squared the answer will be a postive number.
Simplify each radical expression. Use absolute value symbols when needed. √9x⁴/ 36
The value of the given expression √9x⁴/ 36 in simplified form is x² / 2.
By canceling it with its common factors, we must create this expression in its most basic form.So, we have to make this expression √ 9x⁴ / 36 in its lowest form by cancelling it with its common factors.√ 9x⁴ / 36
Take 9 from this since the common factor is 9.= √ 9 x⁴ / 9*4
= √ x⁴ / 4
We must now rewrite it as follows:4 = 2*2 = ( 2 )² and x⁴ = x² * x² = ( x² )²
As a result, the square root of x⁴ is x².Moreover, 2 is the square root of 4.hence, √ x⁴ / 4 = ( x² / 2 )²
Taking positive real numbers as a given, words are extracted from the radical.√ x⁴ / 4 = x² / 2
Therefore, the value of the given expression √9x⁴/ 36 in simplified form is x² / 2
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How many times do you need to divide by ten to get from 7190.77190.77190, point, 7 to 0.719070.719070, point, 71907?
Solve each equation.
3²x=27
After solving the equation, x = 3/2 is the value of x in [tex]3^{2x}[/tex] = 27
⇒ [tex]3^{2x}[/tex] = 27
⇒ [tex]3^{2x}[/tex] = [tex](3)^3[/tex]
⇒ 2x = 3
⇒ x = 3/2
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
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.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
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I need help with this problem please and thank you
The transformation here is; the original function was moved '1' unit downwards.
What is the Transformation of the given Function?Transformations simply takes the basic function and transforms it to another function.
The rules of transformation are;
f(x) transformed to f(x) + a means that the function will be moved 'a' units upwards.f(x) transformed to f(x) - a means that the function will be moved 'a' units downwards.f(x) transformed to f(x + a) means that the function will be moved 'a' units to the left.f(x) transformed to f(x - a) means that the function will be moved 'a' units to the rightFrom the question, the original function is;
f(x) = x + 4
Now, we are told that it undergoes a transformation to;
f(x + 4) - 1
From the transformation rules above, we can say that the transformation here is; the original function was moved '1' unit downwards.
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help i do not understand this
Answer:
74 degrees
Step-by-step explanation:
180-32=148
148÷2=7
The equation says x - 0.8 divided by 1.2 = 6 This is a multi step with decimals find the x equation
The value of x in the equation (x – 0.8) / 1.2 = 6 is 8.
Given,
The equation = (x – 0.8) / 1.2 = 6
We have to expand this equation and find x.
That is,
(x – 0.8) / 1.2 = 6
Multiply 1.2 both sides.
(x – 0.8) x (1.2) / 1.2 = 6 x 1.2
(x – 0.8) = 6 x 1.2
(x – 0.8) = 7.2
Shift 0.8 to right hand side
Then we get,
x = 7.2 + 0.8
x = 8
Therefore, the value of x in the equation (x – 0.8) / 1.2 = 6 is 8.
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The stemplot displays the selling prices of homes for ABC Realty in April. A stemplot titled Home Sale Data for A B C Realty. The stems are 0, 1, 2, 3, 4. The first column of leaves is 67, 23, 13, blank, 59. Column 2 is 85, 81, 25, blank, 82. Column 3 is 92, 81, 76, blank, blank. Column 4 is blank, 96, 77, blank, blank. Column 5 is blank, blank, 87, blank, blank. Key: 1 slash 23 = 123,000 dollars. Select the correct set of data for the stemplot. $459,000, $277,000, $67,000, $123,000, $213,000, $482,000, $85,000, $181,000, $300,000, $225,000, $92,000, $181,000, $287,000, $196,000, $276,000 $459,000, $277,000, $67,000, $123,000, $213,000, $482,000, $85,000, $225,000, $92,000, $181,000, $287,000, $196,000, $276,000 $459,000, $277,000, $67,000, $123,000, $213,000, $482,000, $85,000, $181,000, $225,000, $92,000, $181,000, $287,000, $196,000, $276,000
The data from the stemplot is $459,000, $277,000, $67,000, $123,000, $213,000, $482,000, $85,000, $181,000, $225,000, $92,000, $181,000, $287,000, $196,0900, $276,000.
What is the data from the stemplot?A stemplot is a table that has similar features with to a histogram. A stemplot divides a number into a stem and a leaf. The stem is the first digit in a number and the leaf is the rest of the numbers. For example, the number 223, 2 would be the stem and 23 would be the leaf.
Advantages of a stemplot is that it displays all of the data in the dataset. A stemplot is also easy to interpret. Stemplots also give a concise representation of a dataset. A disadvantage of a stemplot is that is can only be used for a small dataset.
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Shayla cuts 6 strips of ribbon to make hair bows. When she is done, she realizes that each strip is 1/8 inch too short. How does the total length of the strips compare to what their total length should have been?
The total length of the strips will be 6L. Then the total length of the ribbon should have been 6L + 6/8.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Shayla cuts six ribbon pieces to create hair bows. She completes it, only to discover that each strip is 1/8 inch too short.
Let L be the length of the strips of ribbon. Then the total length of the strips will be
⇒ 6L
The total length of the ribbon should have been
⇒ 6(L + 1/8)
⇒ 6L + 6/8
The total length of the ribbon should have been 6L + 6/8.
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