Constants values in the expression 2x+3y+4z+5a+6b are 2,3,4 ,5 and 6.
A constant is a value or number that is consistently the same regardless of how it is expressed. For instance, in the aforementioned figure, where its face value is 36 and 82 respectively, 36 and 82 remain constant. Its worth remains constant.
To broaden our definition, we can say that a constant is something that never changes. Either a single digit or a symbol that denotes a specific number is used. You could substitute a letter like a, b, or c for a constant.
An illustration of a constant term is the mathematical symbol Pi. The word "Pi" refers to a well-known number that can be used alone.
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(b) Find the nth term of the geometric sequence 5 15 45 135
The nth term of this given G.P. is [tex]T_n =5\times[3]^{n-1}[/tex].
Given that
geometric sequence 5 15 45 135To find
nth term of this GP.So, according to the question
We have,
A GP5 15 45 135
From this G.P.
The first term a = 5,The common ratio r = [tex]\frac{15}{5}[/tex]So, we know that
The the nth term of the geometric sequence is:[tex]T_n =ar^{n-1}[/tex]
Where,
Tn = nth term of G.P. n = nth number.Now, putting the all given values
[tex]T_n =5\times[3]^{n-1}[/tex] -----------------(1)
The nth term of this given G.P. is [tex]T_n =5\times[3]^{n-1}[/tex], from it we will be calculate all terms till n.To learn more about Geometric Progression, please click on the link:
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In 60 seconds, Darrell walks 90 meters.Select the two answers that describe the unit rate at which he walks.
Answer:
1.5 meters per second
Step-by-step explanation:
90 meters divided by 60 seconds is 1.5
16 Brett was given the problem: "Evaluate 2x¹ +5 when x = 3." Brett wrote that the answer was 41. Was Brett correct? Explain your answer.
In the expression 2x + 5 at x = 3 Brett is wrong as the correct answer is 11.
What is an expression?An expression is written in the form of numbers and variables with arithmetic operations.
According to the given question we have to evaluate 2x + 5 at x = 3 and match our answer with Brett which is 41.
To obtain the value of 2x + 5 at x = 3, we have to substitute x with 3 in the given expression which is,
= 2(3) + 5
= 6 + 5.
= 11.
So, our answer is correct which is 11 and Brett is wrong.
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hellllllllllp hurrryyy pleaseee
The rate at which Riya is applying the mulch to the garden is 250000:1.
What is the rate?It should be noted that rate is simply used to show the relationship between two things. A rate in mathematics is the comparison of two related values expressed in different units. The numerator of the ratio expresses the corresponding rate of change in the dependent variable if the denominator of the ratio is written as a single unit of one of these quantities and it is assumed that this quantity may be modified systematically (i.e., is an independent variable).
Per unit of time is a frequent sort of rate, and examples include speed, heart rate, and flux. Exchange rates, literacy rates, and electric field ratios are examples of ratios with a non-time denominator (in volts per meter).
From the information, Riya is applying mulch to the garden and she applied at a rate of 250000cm³ for every m² of space.
Therefore, the rate at which Riya is applying the mulch to the garden is 250000:1.
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Please help me I need help
Answer:
2
Step-by-step explanation:
8+14 = 22
22-5 = 17
17-7 = 10
10+3 = 13
13-7 = 6
6-4 = 2
Answer:
d) 2
Step-by-step explanation:
find the sum of 7531, 5252, 6375
The sum of the three numbers 7531, 5252 and 6375 is 19158
How to determine the sum of the numbers?The numbers are given as
7531, 5252, 6375
Express the numbers as a summation expression
So, we have
Sum = 7531 + 5252 + 6375
Evaluate the sum
So, we have
Sum = 19158
Hence, the sum of the three numbers 7531, 5252 and 6375 is 19158
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add 4 to 6, then subtract y from the result
Answer:
10
4 plus 6 is equal to 10 there you go
-8(b+3) what is the answer
Answer:
Either -8b - 24 or b = 3
Step-by-step explanation:
Answer: - 8b - 24
Distributive property
Find an equation of the line passing through the points (5, 2) with the slope m =5/6
Step-by-step explanation:
I guess, the equation is meant to be in slope-intercept form :
y = ax + b
"a" is the slope, "b" is the y intercept (the y value when x = 0).
in a situation like this, where we have the slope and one point of the line, we can start with the point-slope form
y - y1 = a(x - x1)
"a" is again the slope, and (x1, y1) is the given point.
and then we transform this over to the slope-intercept form.
so, in our case here
y - 2 = 5/6 × (x - 5) = 5x/6 - 25/6
let's simplify this by multiplying everything by 6 :
6y - 12 = 5x - 25
6y = 5x - 13
y = 5/6 x - 13/6
or
y = 1/6 × (5x - 13)
A florist buys a dozen roses for $12.96 and sells them for $48.48. Find the amount of markup on a single rose.
The amount of markup on a single rose is $2.74.
What is markup formula?The markup formula is defined as the profit per unit cost of an item and is given as,
Markup = 100 * profit/cost
We multiply by 100 because we express it as a percentage, not as a fraction.
Now it is given that,
Cost Price of a dozen roses = $2.96
Number of roses = 12
Thus, Cost Price of 1 rose = 12.96/12 = $.108
Now it is also given that, the these dozen roses are sold at $48.48
So, Selling price of 1 rose = 48.48/12 = $4.04
Thus, Profit = Selling Price - Cost Price
⇒ Profit = $4.04 - $1.08
⇒ Profit = $2.96
Thus,Amount of Markup of single rose = Profit/Cost of 1 rose
⇒ Amount of Markup of single rose = 2.96/1.08
⇒ Amount of Markup of single rose = 2.74
Thus, the amount of markup on a single rose is $2.74.
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For the points given below, find (a) PQ and (b) the coordinates of the midpoint of PQ. P(3,5), Q(5,-4) (a) PQ ~ (Type an integer or decimal rounded to the nearest tenth as needed.) (b) The coordinates of the midpoint of PQ are 7 (Type an ordered pair, using integers or decimals.)
a) The line segment PQ has a length of √85 (approx. 9.219).
b) The coordinates of the midpoint of the line segment PQ is (4, 0.5).
What is the length of a line segment and the coordinates of its midpoint?
Herein we find a line segment whose endpoints are known: P(x, y) = (3, 5), Q(x, y) = (5, - 4), and we are asked to determine the length of the line segment and the coordinates of the midpoint as well. a) First, we determine the vector between the points P and Q by sum of vectors:
PQ = Q(x, y) - P(x, y)
PQ = (5, - 4) - (3, 5)
PQ = (2, - 9)
And its magnitude is determined by using the Pythagorean theorem:
PQ = √[2² + (- 9)²]
PQ = √85
b) The coordinates of the midpoint is found by using the following formula:
M(x, y) = 0.5 · P(x, y) + 0.5 · Q(x, y)
M(x, y) = 0.5 · (3, 5) + 0.5 · (5, - 4)
M(x, y) = (1.5, 2.5) + (2.5, - 2)
M(x, y) = (4, 0.5)
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what two numbers equal 24 when multiplied and -11 when added
Consider the polynomial -y4+2y2+3y+8.
1) What is the constant term?
2) What is the exponent of the third term?
a. 1) The constant term is -y4.
2) The exponent of the third term is 3.
b. 1) The constant term is 8.
2) The exponent of the third term is 1.
c. 1) The constant term is 8.
2) The exponent of the third term is 3.
d. 1) The constant term is -y4.
2) The exponent of the third term is 1
1. The constant term of the polynomial is: 8.
2. The exponent of the third term is 1.
What is a Term of a Polynomial?A term of a polynomial can include any of the following:
An alphabet which is referred to as a variable, standing alone.The product of a variable and a number.A number that stands alone which is called a constant.The product of a variable that has an exponent and a number.A variable with an exponent.Any of the above is referred to as a term of a polynomial.
Given the polynomial, -y^4 + 2y² + 3y + 8, the polynomial has 4 terms, -y^4, 2y², 3y, and 8.
Thus:
1. The constant term of the polynomial is: 8.
2. The exponent of the third term is 1.
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write the equation of the line that is parallel to the graph of 3x-y=5 , and whose y intercept is (0,-7)
The formula 3x-y=5 is a linear function.
We must first examine the slope of the original function in order to determine the equation of parallel lines. We are also given the other function's intercept in this issue.
The function's slope-intercept form is y=3x-5.
In order to locate the parallel line that corresponds to the point (0,-7)
Parallel lines are those that share the same slope but have different y-intercepts, as you may have seen.
As a result, we must put in the point to solve for the y-intercept.
Thus,
y = 3x + b
-7 = 3(0) + b
-7 = b
b = -7
Thus the equation of a parallel line is y = 3x - 7
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Which graph represents the solution to this inequality?
A graph which represent the solution to this inequality is: graph B.
What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).Given the following inequality:
-1/4(12x + 8) ≤ -2x + 11
Opening the bracket, we have:
-3x - 2 ≤ -2x + 11
3x - 2x ≤ -11 - 2
x ≤ -13
Note: When the arrow points to the left and shaded, the inequality is either (≤).
In conclusion, a graph which represent the solution to this inequality is graph B.
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Find the inverse of each function. Determine whether each inverse is a function. f(x)=(2 x-3)²
The inverse of function f( x ) = ( 2x - 3)² is [tex]y=\frac{\pm\sqrt{x} +3}{2}[/tex].
A function that can reverse into another function is known as an inverse function or anti-function. A function takes in values, applies specific operations to them, and produces an output. In order to find y when x is swapped with another variable, we must first determine the inverse function. On the other hand, the inverse function and the original function likewise have interchangeable domains and ranges.
We have the function,
f(x) = y = ( 2x - 3 )²
x = ( 2y - 3 )²
2y - 3 = ±√x
Adding 3 from each side.
2y - 3 + 3 = ±√x + 3
2y = ±√x + 3
Dividing each side of the equation by 2.
[tex]y=\frac{\pm\sqrt{x} +3}{2}[/tex]
Hence, the inverse of function f( x ) = ( 2x - 3 )² is [tex]y=\frac{\pm\sqrt{x} +3}{2}[/tex].
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50 points!! Find the two consecutive asymptotes, the period (in radians), the phase shift (in radians) and the vertical shift of the function: y = 4csc(5θ - 3π/4)
Two consecutive asymptotes are θ = - π / 20 and θ = 3π / 20 and the period is π / 5.
How to determine two consecutive asymptotes from a trigonometric function
In this question we must look for two consecutive vertical asymptotes related to a trigonometric function. A function becomes undefined when its denominator is zero. Now we proceed to simplify the expression by trigonometric formulas:
y = 4 · csc (5θ - 3π / 4)
y = 4 / sin (5θ - 3π / 4)
y = 4 / (sin 5θ · cos 3π / 4 - cos 5θ · sin 3π / 4)
y = 4 / [(- √2 / 2) · sin 5θ - (√2 / 2) · cos 5θ]
The function is undefined for (- √2 / 2) · sin 5θ - (√2 / 2) · cos 5θ = 0:
(- √2 / 2) · sin 5θ - (√2 / 2) · cos 5θ = 0
(- √2 / 2) · sin 5θ = (√2 / 2) · cos 5θ
- sin 5θ = cos 5θ
tan 5θ = - 1
5θ = - π / 4 + i · π
θ = - π / 20 + i · π / 5
θ = (π / 5) · (- 1 / 4 + i)
There are two consecutive asymptotes:
i = 0
θ = - π / 20
i = 1
θ = 3π / 20
And the period is ΔT = 3π / 20 - (- π / 20) = π / 5.
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PLS HELP 20 points!!1
1. What inequality does this graph represent?
2. Explain how you determined the inequality that is represented by the given graph. What was your thought process?
3. What is a real-world situation that can be modeled using this graph or part of the graph? In your answer, include how you would label for the axes. Describe one point in the solution set.
Please answer with the question number such as,
1.
2.
3.
Thank you!
Answer:
Step-by-step explanation:
1.
IF THE SHADED REGION IS THE WANTED AREA then the inequality is
y > 2x + 1
BUT IF THE SHADED REGION IS THE UNWANTED AREA then the in equality is
y < 2x + 1
2.
You have to figure out the equation of the dotted line.
Since the line is dotted, it means less than or greater than, it cant be less than equals to or greater than equal to
The gradient of the line is 2 as
rise / run = 14/7 = 2
and y intercept is 1
y > 2x + 1
3.
this is used in economics and for planning to maximize profits and minimize costs.
A piece of brass has a volume v cm'.
aIf there were 6 cm' more brass, its mass
would be 200 g. Write down an expression
in V for its density (g/cm').
Given data,
A piece of brass has a volume v cm'.
there were 6 cm'
mass would be 200 g
So,
We can write,
volume V = 6cm
brass mass M = 200g
Find density d.
Define Density :
Density, mass of a unit volume of a material substance. The formula for density is d = M/V, where d is density, M is mass, and V is volume. Density is commonly expressed in units of grams per cubic centi meter.
d = M/V
Where,
M: It is the mass
V: It is the volume
According to the data of the statement we have:
[tex]V = 6 cm^{1}[/tex]
[tex]M = 200g[/tex]
So, the density is given by:
d = M/V
d = [tex]\frac{200g}{6cm^{1} }[/tex]
d = [tex]33.33\frac{g}{cm^{1} }[/tex]
Therefore,
The density of the brass ornament is d = [tex]33.33\frac{g}{cm^{1} }[/tex]
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Question 4
Find the circumference and area of circle X if each unit on the graph measures 1 centimeter. Round answers to the nearest tenth, if necessary.
X(-3,4)
Y(-4,2)
What is the slope of this graph?
- 1/3
1/3
3
-3
the difference between three times a number and 16 is at least 8
The algebraic expression become 3n-16<8.
According to the statement
We have to find that the numerical expression.
So, For this purpose, we know that the
Algebraic expression is an expression obtained by a finite number of the fundamental operations of algebra upon symbols representing numbers.
From the given information:
the difference between three times a number and 16 is at least 8
Then
From 1st statement it become 3n -16
And with other statement and combining
Then the equation become
3n-16<8
Now solve the expression for the value of the n
then it becomes
3n<24
n<8.
The value becomes is 8.
So, The algebraic expression become 3n-16<8.
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can someone, anyone explain what units are for rise and run, please.
Answer:
Rise/Run
or
[tex]\frac{rise}{run}[/tex]
Step-by-step explanation:
The formula for slope is referred to rise over run,
Because the fraction consists of the rise (the change in y, going up or down) divided by the run (the change in x, going from left to the right).
A rise over run equation would be formatted like this:
Rise/Run
or
[tex]\frac{rise}{run}[/tex]
(i used to struggle with slopes, and i understand how much of a pain they are)
Write a rational function with the following characteristics.
b. Vertical asymptotes at x=0 and x=3 , horizontal asymptote at y=0 , a zero at -4
For Vertical asymptotes at x=0 and x=3 , horizontal asymptote at y=0 , a zero at -4, the rational function will be - (x+4) / (x)(x-3)
What are asymptotes?Asymptote, a line or curve that serves as the boundary of another line or curve in mathematics. An example of an asymptotic curve is a descending curve that approaches but does not reach the horizontal axis, which is the asymptote of the curve.
Given,
Vertical asymptotes at x=0 and x=3 , it means that these both factors are included in the denominator.
horizontal asymptote at y=0, it means means highest degrees in both numerator and denominator is 0.
zero at -4, it means we have this as factor in numerator.
The required rational function will be -
(x+4) / (x)(x-3)
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Help Immediately Please
Solve ² - 5x+7=0.
Answer: D
Step-by-step explanation:
:)
Use the proportion d / 180° = r radians/πradians . Find the equivalent degree measure or radian measure. 13π/8 radians
Answer:
the answer is the 20⁰ ok that
PLEASE HELPP!!! 7(5h - 4) - 1 = 14 - 8h Show your work!!!!
Answer: h=1
Step-by-step explanation:
multiple 5h and -4 by 7
35h-28-1=14-8h
35h-29=14-8h
add 29 to both sides
35h=43-8h
43h=43
i think this is right...
The given equation is,
→ 7(5h - 4) - 1 = 14 - 8h
Now the required value of h will be,
→ 7(5h - 4) - 1 = 14 - 8h
→ 35h - 28 - 1 = 14 - 8h
→ 35h - 29 = 14 - 8h
→ 35h + 8h = 14 + 29
→ 43h = 43
→ h = 43/43
→ [ h = 1 ]
Hence, the value of h is 1.
Answer the 2 question in the photo
[easy points]
Answer:
Cube = 8 vertices
Pyramid=5 vertices
Step-by-step explanation:
Cube = 8 vertices
Pyramid=5 vertices
What is the marginal distribution of males? Weight Class vs. Gender
Underweight At Goal Weight Overweight Total
Male 93 206 81 380
Female 37 446 137 620
Total 130 652 218 1000
A. 62.0% B. 38.0% C. 13.0% D. 65.2%
The marginal distribution of males is 13 %
A two-way frequency table shows the frequencies (or "counts") of two categorical variables.
For example, the following two-way table displays the results of a study in which 100 participants were asked which sport they preferred: baseball, basketball, or football.
The rows represent the respondent's gender, while the columns show which sport they chose:
There are two variables in this example: Sports and Gender.
A marginal distribution is simply the sum of the distributions of these separate variables. The marginal distributions in a two-way table are shown in the table margins: Marginal distributions are valuable because, while we frequently collect data for two variables (such as Sports and Gender), we may have particular questions regarding only one variable.
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Help Which of the following could be an algebraic expression for the total cost of dinner, less a $10 coupon, divided by 4 people?
(x − 10) ÷ 4
4x − 10
10 − 4x
4x(10)
the expression that models the situation of the total cost of a diner, less a $10 coupon divided by 4 is (x - $10)÷4
Which is the correct algebraic expression?Here we have the total cost of a dinner, less a $10 coupon, divided by 4 people.
If the total cost is x, then the total cost less a $10 coupon is:
x - $10.
Now, taking the quotient (dividing the above amount by 4) we will get:
(x - $10)÷4
This is the expression that models the situation of the total cost of a dinner, less a $10 coupon divided by 4.
So the correct option is the first one.
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