Answer:
−2 c negative 3 over 5 is located on the right of 0 and −2 is located on the left of 0 d negative 3 over 5
Step-by-step explanation:
How can I evaluate P = 3n+2r+t -1 when n=3, r=2, and t=5?
Answer:
p=17
Step-by-step explanation:
P = 3n+2r+t -1
when n=3, r=2, and t=5?
we will just substitute for the values
p=3(3)+2(2)+5-1
p=9+4+4
p=9+8
p=17
;- The value for p is 17
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Place a. Point on the number line to show the value that is 1/10 of 0.5
The value of 1/10 of 0.5 lies between 0.1 and 0.2
What is Number line?A horizontal line with evenly spaced numerical increments is referred to as a number line. How the number on the line can be answered depends on the numbers present. The use of the number is determined by the question that it corresponds to, such as when graphing a point.
Given:
Point on the number line to show the value that is 1/10 of 0.5
So, 1/10 of 0.5
= 1/10 x 0.5
= 0.05
Hence, the value of 1/10 of 0.5 lies between 0.1 and 0.2
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Can you help me create a polynomial function from the diagram displayed below? My teacher never went over this in class.
Thanks!
Considering the dimensions of the rectangular prism and it's volume, it is found that:
The expression is: V(x) = 4x³ - 22x² + 30x.The degree is of 3, the number of terms is of 3, and the leading coefficient is of 4.How to obtain the volume of a rectangular prism?The volume of a rectangular prism is given by the multiplication of the dimensions of the prism, which are the width symbolized by w, the height symbolized by h and the length symbolized by l, that is:
V = l x w x h.
In the context of this problem, from the image, the dimensions are given as follows:
Length: l = 2x - 5.Width: w = x - 3.Height: h = 2x.Then the polynomial expression regarding the volume of the prism is obtained as follows:
V(x) = 2x(x - 3)(2x - 5)
V(x)= 2x(2x² - 11x + 15)
V(x) = 4x³ - 22x² + 30x.
The features of the polynomial expression V(x) = 4x³ - 22x² + 30x is obtained as follows:
Degree of 3, which is the highest exponent of the function V(x).Number of terms of 3, which are 4x³, 22x² and 30x.The leading coefficient is of 3, as it is the term that multiplies the term with the highest exponent x³.A similar problem, also about the volume of a rectangular prism, is presented at brainly.com/question/22070273
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Sasha is studying a type of coral that grows at a constant rate. Every month, she visits two pieces of the coral and measures their heights. She made this table:
Month 1 2 3
Piece A's height (cm) 24 26 28
Piece B's height (cm) 27 29 31
When Piece A's height is 49cm, what will Piece B's height be?
Answer:
Step-by-step explanation: The constant growth for Plant A is two cm a month and the growth of Plant B is also two cm a month.
In relation, Plant B will also be 3cm taller than Plant A on any month so when Plant A is 49cm, Plant B is 52.
When Piece A's height is 49 cm then the Piece B's height will be 52 cm.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
We can see that Piece A's height increases by 2 cm each month and Piece B's height increases by 2 cm each month as well.
To find out what Piece B's height will be when Piece A's height is 49 cm, we need to find how many months it will take for Piece A to reach 49 cm.
From Month 1 to Month 2, Piece A's height increased by 2 cm, and from Month 2 to Month 3, Piece A's height increased by another 2 cm. Therefore, Piece A's height increases by 2 cm per month.
To go from 28 cm (Piece A's height in Month 3) to 49 cm, it takes 21 cm ÷ 2 cm/month = 10.5 months.
So 10.5 months after Month 3 is Month 13.5.
In Month 13.5, Piece A's height will be 49 cm and Piece B's height will be:
Piece B's height in Month 3 + 2 cm/month × (13.5 - 3 months)
= 31 cm + 2 cm/month × 10.5 months
= 52 cm
Therefore, when Piece A's height is 49 cm, Piece B's height will be 52 cm.
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What is the slope of the line that contains these points?
The slope of the line that contains the the given points is 1/5 .
The slope of the line containing the two points (x₁ , y₁) and (x₂ , y₂) is calculated using the formula
slope = (y₂ - y₁)/(x₂ - x₁)
In the question ,
it is given that the
line contains the points x [tex]=[/tex] -4 , y [tex]=[/tex] -3
and x = 1 , y = -2 .
we need two points to find the slope of the line
Substituting the values in the formula for slope ,
we get
slope = (-2 -(-3))/(1-(-4))
= (-2+3)/(1+4)
= 1/5
Therefore , The slope of the line that contains the the given points is 1/5 .
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Whats the answer to question 10?
Answer:
[tex]y = |x - 3|+ 5[/tex]
y = |x| is the equation that forms the triangular shape. -3 and 5 reflect the shape to that position.
simplify 1/x^-5 HELP ME PLEASE FIRST ANSWER GETS BRAINLIEST
Answer:
x^5
Step-by-step explanation:
What is the relationship between Za and Zb?
Choose 1 answer:
A
B
a
Vertical angles
b
Complementary angles
Answer:
A
Step-by-step explanation:
∠ A and ∠ B are vertically opposite angles and are congruent. that is
∠ A and ∠ B are vertical angles
Lena made $60 babysitting for 3 hours on Sunday. He made $140 for 7 hours
on Tuesday. What is the rate of change?
Answer:20 dollars per hour
Step-by-step explanation:60/3 = 20
20 dollars per hour
7 x 20 = 140
Nick starts with 20
20
milligrams of a radioactive substance. The amount of the substance decreases by 12
1
2
each week for a number of weeks,
w
. He writes the expression 20(12)
20
(
1
2
)
w
to find the amount of radioactive substance remaining after
w
weeks.
Autumn starts with 1
1
milligram of a radioactive substance. The amount of the substance decreases by 50%
50
%
each week for a number of weeks,
w
. She writes the expression (1−0.5)
(
1
-
0
.
5
)
w
to find the amount of radioactive substance remaining after
w
weeks.
Use the drop-down menus to explain what each part of Nick's and Autumn's expressions mean.
Each part of Nick's and Autumn's expressions mean can be explained as follows;
Nick;
the amount of substance he begins with = 20the amount of substance left after each week = 1/2Autumn:
The one outside of parentheses = the initial amount of the substance.The one inside of parentheses = 100% of the original amount of the substance.0.5 represents the 50% of the substance that is lost each time periodHow to explain each variable in an expression?ler
Number of weeks = wNick expression:
[tex] {20( \frac{1}{2} })^{w} [/tex]
Where,
the amount of substance he begins with = 20
the amount of substance left after each week = 1/2
If w = 2
[tex] {20( \frac{1}{2} })^{w} [/tex]
[tex]{20( \frac{1}{2} })^{2} [/tex]
= 20(0.25)
= 5 milligrams
Autumn's expression:
[tex] {(1 - 0.5)}^{w} [/tex]
The one outside of parentheses = the initial amount of the substance.
The one inside of parentheses = 100% of the original amount of the substance.
0.5 represents the 50% of the substance that is lost each time period
If w = 2[tex] {(1 - 0.5)}^{w} [/tex]
[tex] {(1 - 0.5)}^{2} [/tex]
= (0.5)²
= 0.25 milligrams
Complete question:
Nick starts with 20 milligrams of a radioactive substance. The amount of the substance decreases by 1/2 each week for a number of weeks, w. He writes the expression 20(12)w to find the amount of radioactive substance remaining after w weeks. Autumn starts with 1 milligrams of a radioactive substance. The amount of the substance decreases by 50% each week for a number of weeks, w. She writes the expression (1-0.5)w to find the amount of radioactive substance remaining after w weeks. Use the drop-down menus to explain what each part of Nick's and Autumn's expressions mean.
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The radius of a circle is 599 cm. What is the diameter of this circle?
Answer:
1,198 cm
Step-by-step explanation:
To find the diameter, use the formula d = 2r.
d = 2(599)
d = 1,198
can you guys help me with these?
For a ride on a rental scooter, Tom paid a 5 fee to start the scooter plus 9 cents per minute of the ride. The total bill for Tom's ride was 21.38 . For how many minutes did Tom ride the scooter?
Answer:
182 minutes
Step-by-step explanation:
0.09x+5=21.38
-5. -5
0.09x=16.38
/0.09. /0.09
X=182
182 minutes
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Can I get some help with this
The final velocity of a vehicle with a mass of 800kg is 20000 m/s.
What is velocity?The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.The speed at which an object goes in one direction is known as its velocity. Speed may be used to calculate both the speed of the car traveling north on the major highway and the speed of the rocket bursting into space.So, calculate the final velocity as:
Formula: v = √u² + 2asWhere u is initial velocity, a is acceleration and s is displacement.Now, we know that:
u = 108 km/ha = 4 km/s²s = 50 kmInsert values in the formula and calculate as follows:
v = √u² + 2asv = √108² + 2(4)(50)v = √11,664 + 400v = √12,064v = 20000.022499991 m/sRounding off: v = 20000 m/s
Therefore, the final velocity of a vehicle with a mass of 800kg is 20000 m/s.
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after a bride has interviewed 6 djs to play at her wedding, her fiance tells her she needs to narrow it down to 3 djs. in how many ways can she rank the 3 djs? a) 20 b) 18 c) 720 d) 3 e) 120 f) none of the above.
The number of way in which bride can rank the three Djs out of 6 is 120.
Defined the word permutation?The number of possible arrangements for a given set is determined mathematically, and so this procedure is referred to as permutation. Simply said, a permutation is a concept that refers to the wide range of possible arrangements or orders. The arrangement's order is important if using permutations.There are several different ways we might rank the three DJs.
Therefore, we must identify the permutation P. (6,3).
Total number of DJs = 6Required number of DJs = 3ⁿPₓ = n!/(n - x)!
⁶P₃ = 6!(6-3)!
⁶P₃ = 6×5×4
⁶P₃ = 120
Thus, the number of way in which bride can select the three Djs out of 6 is 120.
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i NEED HELP NOW dane is selling popcorn for a fundraiser if each bag of popcorn he sells cost $4.75 what equation can he use to calculate the total amount of money he raised if he sold x number of bags
Answer:
Step-by-step explanation:
Take the amount, $4.75, multiplied by x will give you the total amount of money raised and just put that into the equation format:
$4.75 (x) = total amount of money raised
Mia’s family drinks a total of 10 gallons of milk every 6 weeks. How many gallons of milk do they drink per week
Finding the derivatives using The Chain Rule
a) The derivative of the composite function is F'(x) = [2 · [(1 / 3) · x³ + 7] + 6] · x².
b) The standard form of the polynomial is F'(x) = (2 / 3) · x⁵ + 7 · x².
How to determine the derivative of a function by chain rule
Chain rule is a differentiation rule use to find the derivative of a composite function of the form f(u(x)), whose operation is defined below:
df / dx = (df / du) · (du / dx)
a) Let be f(x) = x² + 6 · x - 40 and g(x) = (1 / 3) · x³ + 7, such that F(x) = f(g(x)). Then, the resulting expression for the derivative of the function is obtained below:
F'(x) = [2 · g(x) + 6] · g'(x)
F'(x) = [2 · [(1 / 3) · x³ + 7] + 6] · x²
b) Now we proceed to expand the polynomial in its standard form:
F'(x) = [(2 / 3) · x³ + 7] · x²
F'(x) = (2 / 3) · x⁵ + 7 · x²
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Please help now asap !!! Due tomorrow
Answer:
Step-by-step explanation:
it help by showinbng thta
ets
d and simplify these
4(a + 8) =
4(a + 8)
multiply out:
= 4a + 32
Jerome tries to find the value of the expression 3 - 6 + 5 by first applying the commutative property. He rewrites the expression as 3 - 5 + 6. Explain, What is wrong with Jerome's approach?
The fault with Jerome's approach as required in the task content is; he tries to add 3 and 5 by switching 5 and 6, but, he forgets to switch the signs too.
What is the commutative property of addition?Commutative property of addition is a property of addition which posits that Changing the order of addends does not change the sum.
On this note, the use of the commutative property of addition on the given expression; 3 - 6 + 5 would yield the expression; 3 + 5 - 6.
Consequently, the fault with Jerome's approach is that; he tries to add 3 and 5 by switching 5 and 6, but, he forgets to switch the signs too.
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Find the domain and range of the functions represented by the graph
The domain and range of the functions represented by the graph is equal to [-2, 2]. Also, the range of the functions represented by the graph is equal to [-2, 2].
How to identify the domain and range of this graph?The horizontal extent of a graph represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.
Similarly, the vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
Note: Each interval on this graph represent -1 unit.
By critically observing the graph of this function shown, we can reasonably infer and logically deduce the following:
Domain = [-2, 2].
Range = (-2, 2).
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83.978, 78.934, 84.765 Underline the thousandths digit in each number
help meee pleaseeee
Answer:
83.978 the thousandth digit is 3, 78.934 the thousandth digit is 8,84.765 the thousandth digit is 4
Answer:
Step-by-step explanation:
Ok:
1. Identify the thousandths digit
The numbers to the left of the decimal point are the ones and hundreds digits
The first number to the right of the point is the tenths digits
The second to the right of point i s the Hundreths
The third number to the right of point is the thounsandths which is what we are looking for!
2. Apply to problem!
1. 83.978 : Thousandths digit is 8
2. 78.934 : Thousandths digit is 4
3. 84.765 : Thousandths digit it 5
Extra tips and tricks writing as fractions!Ps: Some are not simplified!
1. 83.978= 83 978/1000 as fraction
2. 78.932= 78 932/1000 as fraction
3. 84.765= 84 765/1000 as fraction
0.38 in standard form
Explain how the function y=-1/3|x+2|+5 is transformed from the original function of y=-1/3|x|.
The original function of y = -1/3|x| was translated 2 units to the right and 5 units up.
The types of transformation.In Mathematics, there are four (4) main types of transformation and these include the following:
DilationRotationReflectionTranslationWhat is a translation?In Mathematics, the translation of a geometric figure (shape) to the right simply means adding a digit to the numerical value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure (shape) that is translated up simply means adding a digit to the numerical value on the y-coordinate (y-axis) of the pre-image.
In this scenario, the original function was shifted 2 units to the right and then shifted 5 units up to produce the new function as follows:
Original function (x, y) → New function (x + 2, y + 5)
y = -1/3|x| → y = -1/3|x + 2| + 5
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the student council at westford high school is making t-shirts to sell for a fundraiser, at a price of $10 apiece. the costs, meanwhile, are $6 per shirt, plus a setup fee of $72. selling a certain number of shirts will allow the student council to cover their costs. what will the costs be? how many shirts must be sold?
Cost will be $180 and so will be the revenue.
What is linear equation ?Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable. If the linear equation has two variables, then it is called linear equations in two variables and so on. Some of the examples of linear equations are 2x – 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x – y + z = 3.
CalculationCost: C=72+6s, where s is the number of shirts sold
Revenue: R=10s
Break-even is where they are equal
72 + 6s = 10s
72/4 = s
s = 18 shirt s
Cost will be $180 and so will be the revenue.
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Use the formula for the area of a circle (A-ar) to find the area of the bull's-
eye.
12
20
100 mm 12 mm
180 mm
A. 101,736 mm2
B. 452.39 mm2
C. 22,686 mm2
D. 31,400 mm²
13
The area of a bull's eye is equal to: B. 452.39 mm².
What is the area of a circle?The area of a circle simply refers to the region enclosed or space occupied by a circle within its boundary, and in a two-dimensional plane.
How to calculate the area of a circle?Mathematically, the area of a bull's eye can be calculated by using this formula:
Area of bull's eye = πr²
Where:
r is the radius of a circle.
Note: The radius of the bull's eye is equal to 12 mm and π = 3.14159.
Substituting the given parameters into the formula, we have;
Area of bull's eye = π × (12)²
Area of bull's eye = 3.14159 × 144
Area of bull's eye = 452.39 mm².
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evaluate (-3)^3 x (-5/3)^-4
Answer:
answer. {-2187x}/{625}
fast pls!!!!!!!!!!!!!!!!!!! What is the product?
67 times 48 = blank
2,966
3,016
3,116
3,216
Answer:
D, 3216
Step-by-step explanation:
Calculators are great. I love calculators.
Help me for this question