The distance that tire covered in 8 rotations with diameter 25 inches is 628in using circle circumference's formula .
What is circumference of circle ?
The circumference of a circle is defined as the linear distance around it. In other words, if a circle is opened to form a straight line, then the length of that line will be the circle's circumference.
The formula is :
2πr where r is the radius of the circle.
We know that diameter = 2*radius.
Given diameter = 25 inches
So, the radius = 25/2 inches.
So, the circumference = 2*(22/7)*(25/2)
Circumference of circle = distance covered by tire in one rotation.
So, the distance covered in 8 rotations = 8 * circumference
= 8* 2*(22/7)*(25/2)
= 628.5 inches
≈ 628 in
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Waves that make up light have peaks and valleys just like the ocean. What are the scientific terms for peaks and valleys?
highs and lows
crests and troughs
ebbs and flows
protos and parallax
The scientific terms for peaks and valleys is B. Crests and troughs.
What are crests?The greatest amount of upward displacement within a cycle occurs at a wave's crest point. A surface wave's crest is a region where the medium's displacement is greatest. The minimum or lowest point in a cycle, a trough is the opposite of a crest.
The crest and trough of a wave, respectively, are its highest and lowest surface portions. The wave height is the vertical distance between the crest and trough. The wavelength is the horizontal separation between two adjacent crests or troughs.
The crest is the highest point on the wave. The trough is the area that is the lowest. The wave length, also known as the wavelength, is the separation between two successive crests (or troughs), while the wave height is the overall vertical change in height between the crest and the trough.
Therefore, based on the information given, the correct option is B.
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Monique buys a $4700 air conditioning system using an installment plan that requires 15% down. How much is the down payment
The value of down payment will be;
⇒ $705
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Monique buys a $4700 air conditioning system using an installment plan that requires 15% down.
Now,
Since, Monique buys a $4700 air conditioning system using an installment plan that requires 15% down.
Hence, The value of down payment = 15% of $4700
= 15/100 × 4700
= 15 × 47
= 705
Thus, The value of down payment = $705
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Find the degree to the nearest point
The degree to turn before walking 673 paces is 59 degrees
How to determine the degree to walk?From the question, we have the following parameters that can be used in our computation:
Lengths = 989 paces, 673 paces and 861 paces
These paces can be represented as
x = 989
y = 673
z = 861
The measure of the required angle (angle Z) i.e. the degree to walk can be calculated using the following cosine rule
z² = x² + y² - 2xy * cos(Z)
Substitute the known values in the above equation, so, we have the following representation
861² = 989² + 673² - 2 * 989 * 673 * cos(Z)
Evaluate the exponents, the products and the summation
So, we have the following representation
741321 = 1431050 - 1331194 * cos(Z)
Evaluate the like terms
- 1331194 * cos(Z) = -689729
Divide both sides by - 1331194
cos(Z) = 0.51812808651
Take the arc-cos of both sides
Z = 58.7
Approximate
Z= 59 degrees
Hence, the measure of the angle is 59 degrees
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Can someone please solve this its on computer and im only good on paper
By graphing, the solution to the system, y = 5x + 2 and y = x - 2 is: A. (-1, -3)
How to Solve a System of Equations by Graphing?The solution to a system of equations is the coordinates of an ordered pair that will make both of the equations to be true. This coordinates is determined by graphing.
To do this, plot both lines on a coordinate plane, then determine the coordinates of the point of intersection of both lines.
Given the system of equations,
y = 5x + 2
y = x - 2
The graph that shows both equations are attached below where the red line is y = 5x + 2, and y = x - 2 is the blue line.
The point of intersection is at (-1, -3). Therefore, the solution is:
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Question 1-5
The expression (4c-3d)(3c+d) is equivalent to:
O 12c² 13cd 3d²
O 12c²
O 12c²
O 12c²
O 12c²
13cd3d²
5cd 3d²
5cd +3d²
3d²
The expression (4c − 3d)(3c + d) is equivalent to 12c² - 5cd - 3d²
What is Expression?An expression is combination of variables, numbers and operators.
(4c − 3d)(3c + d) is the given expression.
Four times c minus three times d into three times f c plus d.
In the given expression c and d are variables.
Plus and minus are operators.
We need to find the equivalent expression of (4c − 3d)(3c + d).
(4c − 3d)(3c + d)
4c(3c+d)-3d(3c + d)
Apply the distributive property.
12c² + 4cd - 9cd - 3d²
Add the like terms
12c² - 5cd - 3d²
Hence, 12c² - 5cd - 3d² is the equivalent expression of (4c-3d)(3c+d).
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prisms, pyramids and spheres have 3 dimensions - length, width, and depth. three dimensional objects have vertices, edges, and faces unless they are the solids like cylinders, cones, and spheres.
A solid figure is a three-dimensional object. That is, it has length, width, and height. Because they are three-dimensional, they have depth and occupy space in our universe. Body types are identified according to characteristics specific to each body type. In particular, we can observe the number of faces, edges, vertices, and the shape of the base.
A flat face of a solid is its face or side, as it is commonly called. The base is the surface on which the figure rests. A solid edge is a line segment where two faces meet. A vertex is an angle formed where the endpoints of two or more face segments meet.
A sphere is a solid figure that has no faces, edges, or vertices. This is because it is perfectly round. No flat sides or corners.
A cone has faces but no edges or vertices. His face is circular. A circle is a plane because it is a flat planar shape. However, since it is rounded on the outside, it does not form edges or corners.
Cylinder that has two circular faces but no edges or corners:
A pyramid has a base and at least three triangular faces. There are edges where faces meet each other or meet the bottom, vertices where two faces meet the bottom, and top vertices where all the triangle faces meet. Pyramids are named for the shape of their base.
A triangular pyramid has a triangular base and his other three triangular faces, or four triangles in total.
A pyramid has a rectangular base and a pyramid has a square base. Both have four triangular faces, for a total of five faces.
Prism:
A prism is a solid with two congruent parallel faces and any number of sides. That is, it can have any number of faces, but at least two faces must be parallel. The shape of the two parallel faces can be triangles, squares, rectangles, pentagons, hexagons, or other types of polygons. Prisms are named after the shape of the base.
Sphere:
A sphere is a geometric object that is the three-dimensional analogue of the two-dimensional circle. A sphere is a set of points that are all the same distance r from a given point in 3D space. This given point is the center of the sphere and r is the radius of the sphere. Spheres are fundamental objects in many areas of mathematics. Spherical and near-spherical shapes also occur in nature and industry. Bubbles, like soap bubbles, are spherical in equilibrium. The Earth is often approximated as a sphere in geography, and the celestial sphere is an important concept in astronomy.
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write an algorithm, using pseudocode, to make the robot: 1. stand up 2. walk forward until it senses a wall 3. turn around 4. walk back to the chair 5. sit down in its original starting position finally, output the total number of steps taken.
We had written an algorithm, using pseudo code.
//Define the required variables.
total_number_of_steps = 0
number_of_steps = 0
//robot stands up to walk.
stand
//the robot moves forward till the wall is not reached.
while (wall is not reached)
//the robot senses the wall with the help of arms.
raise arms
sense_the_wall
if (wall is not there)
//if the wall is not found, the robot lowers the arms
lower arms
//if wall is not detected, the robot moves forward.
step_forward
//increment the number of steps forward.
number_of_steps=number_of_steps+1
//increment the total number of steps.
total_number_of_steps=total_number_of_steps+1
else
exit
end if
end while
//else if the wall is found, lower the arms
lower arms
//the robot turns 90 degrees right once.
turn_right_90
//the robot turns 90 degrees right again.
turn_right_90
//till the number of steps does not reach 0, move
for (number_of_steps! = 0)
step
//increment the total number of steps.
total_number_of_steps=total_number_of_steps+1
//the robot moves backwards on detecting the wall, so
//decrement the number of steps.
number_of_steps = number_of_steps-1
//end the for loop.
end for
//the robot turns 90 degrees left once.
turn
//the robot turns 90 degrees left again.
turn
//the robot sits down.
sit
//display the total number of steps taken by robot
display total_number_of_steps
The last line ends the pseudocode
Stop
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Find the value of each of these quantities a) P(6,3) c) P(8,1) e) P(8,8) b) P(6,5) d) P(8,5) f) P(10,9)
The values for the given data set is as follows 120 , 720 , 8 ,40320 , 6720 ,3628800 respectively.
The formula to calculate the permutation is , P = n! / ( n - r )!. Using this formula we get the result as,
P(6,3) = 6! / (6−3)!
= 6! / 3!
= 120
P(8,1) = 8! / (8 - 1)!
= 8! / 7!
= 8
P(6,5) = 6! / (6-5)!
6! / 1!
720
Similarly ,
P(8,8)= 40320
P(8,5) = 6720
P(10,9) = 3628800
A permutation is a specific arrangement of items. Set members or elements are arranged in a sequence or linear order here.
For example, the permutation of set A=1,6 is 2, as in 1,6,1.
There are no alternative ways to arrange the items in set A, as you can see.
In permutation, the elements must be organised in a specific sequence, whereas in combination, the order of the elements is irrelevant. Read also: Permutation And Combination
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what is the population standard deviation?
The population standard deviation [tex]\sigma[/tex] is 6.697.
What is the mean absolute deviation?The average distance between each data item and the mean is known as the mean absolute deviation.
The gap between each data value and the mean in absolute terms is represented by this average.
The given data set can be arranged as 4, 7, 8, 10, 12, 12, 15, 18, 23, 26.
Mean[tex](\overline{x})[/tex] = (4 + 7 + 8 + 10 + 12 + 12 + 15 + 18 + 23 + 26)/10.
Mean[tex](\overline{x})[/tex] = 135/10 = 13.5.
We know variance[tex](\sigma)[/tex] = [tex](\[ \sum_{i=1}^{n}x_i^2 \]/n) - \overline{x}^2[/tex].
= (4² + 7² + 8² + 10² + 12² + 12² + 15² + 18² + 23² + 26²)/10 - (13.5)².
= (16 + 49 + 64 + 100 + 144 + 144 + 225 + 324 + 529 + 676)/10 - 182.25.
= 44.85
And we also know the standard deviation is [tex]\sqrt{\sigma}[/tex] = [tex]\sqrt{44.85}[/tex] = 6.697
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NO LINKS!! Please help me with this problem. Part 6ff
Answer:
The sequence is not arithmetic. In an arithmetic sequence, the difference between consecutive terms is constant. However, in this sequence, the difference between the terms is not constant. For example, the difference between the first and second terms is 1^5 - 2^5 = -3, while the difference between the second and third terms is 2^5 - 3^5 = -6. Since the difference between consecutive terms is not constant, this sequence is not arithmetic. Therefore, the common difference is NONE.
Answer:
No, the sequence is not arithmetic.
d = NONE
Step-by-step explanation:
An Arithmetic Sequence has a common difference between each term (the difference between each term is the same).
Given sequence:
[tex]1^5, 2^5, 3^5, 4^5, 5^5, ... = 1, 32, 243, 1024, 3125, ...[/tex]
Calculate the difference between each term:
[tex]1 \underset{+31}{\longrightarrow} 32 \underset{+211}{\longrightarrow} 243 \underset{+781}{\longrightarrow} 1024 \underset{+2101}{\longrightarrow} 3125[/tex]
As the difference between each term is not constant, the sequence is not an arithmetic sequence.
Therefore, the common difference, d = NONE.
PLEASE HELP
Under what conditions would triangle DEF be similar to triangle ABC? Drag and drop the choices to make the statement correct.
Step-by-step explanation:
similar means that they have the same angles, and that there is one and the same scale factor for all corresponding sides and other lines (like heights).
so, either the angle F = 60° (like angle C in ABC), or DE has the same scaling factor with AB as DF has with AC.
some correct answer options are not listed, so we need to adjust to the existing ones.
remember, the sum of all angles in a triangle is always 180°.
so,
angle A + angle B + angle C = 180
40 + angle B + 60 = 180
angle B = 80°
so, angle E = 80° for the triangles to be similar.
AC × c = DF
12 × c = 16
3 × c = 4
c = 4/3
so,
AB × c = DE
9 × 4/3 = DE
36/3 = DE
DE = 12
so, either angle E = 80° or DE = 12.
Suppose that a vending machine service company models its income by assuming that money flows continuously into the machines, with the annual rate of flow given by f(t) = 160e0.03tin thousands of dollars per year. Find the total income from the machines over the first 5 years. (Round your answer to the nearest thousand dollars.)$______
The total income from the machines over the first 5 years is $185.89
How to determine the total income from the machines over the first 5 yearsFrom the question, we have the following parameters that can be used in our computation:
f(t) = 160e0.03t
Where
t = Number of yearsf(t) = thousands of dollars per yearRewrite the function properly
so, we have the following representation
f(t) = 160e⁰.⁰³ⁿ
The above function is an exponential function
So: In the first 5 years, we have the value of t to be 5
This is represented as follows
t = 5
Substitute the known values in the above equation, so, we have the following representation
f(5) = 160e⁰.⁰³ ˣ ⁵
Evaluate the product of the exponents
f(5) = 160e⁰.¹⁵
The products above give
f(5) = 185.89
Hence, the total income is $185.89
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Actuarial math
A 10-year $100 par value bond bearing a 10% coupon rate payable semiannually, and redeemable at 105, is bought to yield 8% convertible semiannually. Find the price. Verify that all four formulas produce the same answer.
The price of a 10-year $100 par value bond bearing a 10% coupon rate payable semiannually, and redeemable at 105, bought to yield 8% convertible semiannually, is its present value of $115.87.
What is the price of a bond?The price of a bond is its present value.
The present value can be computed by setting the following parameters:
Number of periods = 20Effective interest rate = 8%Periodic interest payment = $5 ($100 x 10% x 6/12)Future value = $105.This can be done using an online finance calculator with the results as follows:
N (# of periods) = 20 semiannual periods (10 years x 2)
I/Y (Interest per year) = 8%
PMT (Periodic Payment) = $5 ($100 x 10% x 1/2)
FV (Future Value) = $105
Results:
Present Value (PV) = $115.87
Sum of all periodic payments = $100 ($5 x 20)
Total Interest = $89.13
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Question Completion:Answer: 115.87 (If you don't get this answer then the solution is incorrect.)
please help me with this math real quick, please!!
A company has computed a seasonal index for its quarterly sales. Which of the following statements is not correct?
Multiple Choice
The sum of the four quarterly seasonal index numbers is 4.
The index for any quarter must be between 0 and 2.
The average index is 1.
An index of 0.75 for quarter-one sales indicates that sales were 25 percent lower than average sales.
An index of 1.10 indicates sales 10% above the norm.
The option b "The index for any quarter must be between 0 and 2" is correct.
In the given question, we have to find the incorrect statement about a company has computed a seasonal index for its quarterly sales.
For its quarterly sales, the corporation has created a seasonal indicator.
Consequently, it is correct that the four quarterly seasonal index figures add up to 4.
True, the average index is 1.
In this situation, an index of 0.75 for the first quarter's sales implies that they were 25% below average, while an index of 1.10 shows that they were 10% over average.
Hence, the incorrect statement of the option b "The index for any quarter must be between 0 and 2" is correct.
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The table represents a linear relationship. x −2 0 2 4 y −1 0 1 2 Which of the following graphs shows this relationship?
The graph that shows the linear relationship of the table is attached below.
How to Find the Graph that Represent a Linear Relationship?To determine the graph of a linear relationship, do the following:
Find the slope or rate of change = change in y / change in x.Determine the y-intercept which is the value of y when x = 0, and it represents the value on the y-axis where the line intercepts.Given the table which represents a linear relationship above, use two pairs of values, (0, 0) and (2, 1) to find the slope:
Slope = change in y / change in x = (1 - 0) / (2 - 0)
Slope = 1/2.
The y-intercept (b) = 0.
Thus, this means that the graph of the linear relationship will have a slope of 1/2 and crosses the y-axis at 0.
Thus, the graph is shown below.
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Knowledge Check
Find x
x=
Answer:
x is 44 Hope that helps.
A wooden box is in the shape of a regular pentagonal prism. The sides, top, and bottom of the box are 1 centimeter thick. Approximate the volume of wood used to construct the box. Round your answer to the nearest tenth.
The volume of the pentagonal prism as per the given values is obtained as 2.5 cm³.
What is a pentagonal prism?A pentagonal prism has two pentagonal surfaces on the top and the bottom. It has ten vertices, 15 edges and 7 faces. The number of rectangular surfaces are five.
The expression for the volume of a regular pentagon is given as V = 5/2 × abh
Where h is the height and a and b are the length of the sides.
Now, the value of a, b and h as per the question is given as,
a = b = h = 1.
Then, the volume can be calculated as,
V = 5/2 × 1 ×1 × 1
= 2.5
Hence, the volume of the regular pentagonal prism is given as 2.5 cm³.
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Solve for the variable.
8 = y - 3
Responses
A -11-11
B 55
C 1111
D 2424
E -5
Answer:
Answer is y = 11
Step-by-step explanation:
8 = y - 3
or, 8 + 3 = y - 3 + 3
or, 11 = y
or, y = 11
answer the question below, find the rate of change and The means that for every ___pound(s) the turkey will take 1 hour to thaw.
How many hours per pound does it take to thaw a turkey?
Allow 30 minutes of thawing time for each pound of turkey, which translates to two to six hours for a 4- to 12-pound turkey. A 12- to 15-pound bird will thaw in six to eight hours. Still having trouble determining the thaw time of the turkey?
Hope this helps :D
To assemble a piece of furniture, a wood peg must be inserted into a predrilled hole. Suppose that the diameter of a randomly selected peg is a random variable with mean 0.25 inch and standard deviation 0.006 inch and that the diameter of a randomly selected hole is a random variable with mean 0.253 and standard deviation 0.002. Let x1= peg diameter, and let x2= denote hole diameter.Why would the random variable , defined as y=x2-x1 , be of interest to the furniture manufacturer?What is the mean value of the random variable y?Assuming that x1 and x2 are independent, what is the standard deviation of y?Is it reasonable to think that x1 and x2 are independent? Explain.Based on your answers to Parts (b) and (c), do you think that finding a peg that is too big to fit in the predrilled hole would be a relatively common or a relatively rare occurrence? Explain.
(a) Using y the manufacture can find the required diameter of the hole.
(b) The mean of the random variable y is 0.003.
(c) The standard deviation of the y is 0.0063.
(d) It is reasonable to assume that x1 and x2 are independent since peg and hole are made of different wood.
(e) We can see that mean of y is greater than standard deviation of y, So mostly the peg maybe bigger than hole.
Given that x1 be the peg diameter with mean 0.25 in. and standard deviation 0.0006 in.and x2 be the hole diameter with mean 0.253in. and deviation 0.002 in.
a) y=x2-x1 denote the difference between hole and peg diameter
if y<0 , the peg won’t go inside the hole and
if y>0 ,the peg be loose to the hole
So using y the manufacture can find the required diameter of the hole.
b)Now, we have to find the mean of the random variable y
μ(y) = μ(x2) - μ(x1)
μ(y) = 0.253-0.25
μ(y) = 0.003
c) Now we have to find the standard deviation of the y
σ(y) = √{var(x1)+ var(x2)}(x1 and x2 are independent)
σ(y) = √0.000036+0.000004
σ(y) = √0.00004
σ(y) = 0.0063
d) It is reasonable to assume that x1 and x2 are independent since peg and hole are made of different wood.
e) With a standard deviation larger than the mean , it would be fairly likely to observe a negative value of y, so it would be a relatively common occurrence to find a peg that was too big to fit in the predrilled hole. We can see that mean of y is greater than standard deviation of y, So mostly the peg maybe bigger than hole.
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Jessica runs 3 miles in 16 minutes how many minutes does she take per mile
Answer:0.1875
Step-by-step explanation: you would take the miles and divide it my the minutes which would be 3 divided by 16 which equals 0.1875
question does each function describe exponential growth or decay? drag and drop the equations into the boxes to correctly complete the table. put responses in the correct input to answer the question. select a response, navigate to the desired input and insert the response. responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. responses can also be moved by dragging with a mouse. growth
A set-to-set function f is a relation that assigns one element of the set A to each element of the other set B. The set A is the domain of the function (also called the set of inputs) and the set B contains the range (also called the set of outputs).
Let's denote f as exponential function with the base 'a':
f(x) = a ˣ
where, a > 0 and a ≠ 1 and x is any real number.
1. Not an exponential function:
We have the following equation:
[tex]y = 100 (1 - 12)^{t}[/tex]
We can write the equation as:
[tex]y = 100 (-11)^{t}[/tex]
Let's denote f as exponential function with the base 'a':
f(x) = a ˣ
where, a > 0 and a ≠ 1 and x is any real number.
Therefore: a must be more than 01.
In this problem, a = -11, therefore this is not an exponential function.
2. Growth.:
The function:
[tex]y= 0.1(1.25)^{t}[/tex]
The above equation is an exponential function because is a function of the form
[tex]f(t) = ka^t[/tex]
where, a > 0 and k is constant
Therefore, k = 0.1 and a = 1.25 . So, a is greater than 1.
3. Growth:
The function:
[tex]y = {(1 - 0.03)12}^2t[/tex]
The above equation can be written as:
[tex]y = 11.64^{2t}[/tex]
which is an exponential function because is a function of the form
[tex]f(t) = a^{bt}[/tex]
where, a > 0 and b is constant.
So, a = 11.64 and b = 4 . Since a is greater than 1.
4. Decay:
The function:
[tex]y = 426(0.98)^t[/tex]
This is an exponential function because is a function of the form
[tex]f(t) = ka^t[/tex]
where, a > 0 and k is constant
So, k = 426 and a = 0.98. Since, a is less than 1.
5. Growth:
The function:
[tex]y = 2050(12)^t[/tex]
This is an exponential function because is a function of the form
[tex]f(t) = ka^t[/tex]
where, a > 0 and k is constant.
So, k = 2050 and a = 12 . Since, a is greater than 01.
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The window measures 32 inches wide 48 inches tall to put lights around the window how many inches will I need
Answer: 160 inches
Step-by-step explanation:
To put lights around the window, you will need a total of 32 + 48 + 32 + 48 = <<32+48+32+48=160>>160 inches of lights. You will need this much light to go completely around the window.
bella is working two summer jobs, making $10 per hour landscaping and $15 per hour clearing tables. last week bella worked a total of 15 hours and earned a total of $180. graphically solve a system of equations in order to determine the number of hours bella worked landscaping last week, x,x, and the number of hours bella worked clearing tables last week, yy.
The solution of the system of equations by the graphical methods yields x equals 9 and y is 6 i.e, 9 hours of landscaping and 6 hours of waiting tables.
Bella worked x hours working landscaping at $10 per hour.
Total amount earned = 10x
Bella worked y hours working on clearing tables at $ 15 per hour
Amount earned = 15 y
x and y are variables as given
She worked a total of 15 hours and she gets $180 for the combined efforts.
The system of equation can be represented as:
x + y = 15
10x + 15y = 180
Now we will solve the two equations graphically:
So from the attached graph we can see that the point (9,6) is the required solution.
Hence she worked landscaping for 9 hours and clearing tables for 6 hours.
Let us solve by substitution to verify the results:
x + y = 15
or, x = 15 - y
Now 10x + 15y = 180
or, 10 (15-y) + 15y = 180
or, 150 - 10y +15y = 180
or, 5y = 180 - 150
or, y = 6
At y = 6 , x = 15 - 6 = 9
Hence (9,6) is the solution.
System of equations also known as simultaneous equations can also be solved by the elimination method.
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Go step by step to reduce the radical.
Answer:
[tex] \sqrt{176} [/tex]
[tex] \sqrt{16 + 11} [/tex]
[tex]4 \sqrt{11} [/tex]
Step-by-step explanation:
The answer is
[tex]4 \sqrt{11} [/tex]
We
need to express 176 as the product of its prime factors i.e. 176 = 2 × 2 × 2 × 2 × 11. Therefore, √176 = √2 × 2 × 2 × 2 × 11 = 4 √11 . Thus, the square root of 176 in the lowest radical form is 4 √11.
i hope this helped
please help me with this
The correct matching regarding the linear functions are given as follows:
i. A set of points where the coordinates of each point has a sum of 2: Line n.
ii. A set of points where the y-coordinate of each point is 10 less than the x-coordinate: Line m.
b - i) Two numbers with a sum of 2: A and C.
b - ii) Two numbers where the y-coordinate is 10 less than the x-coordinate: D and E.
b - iii) Two numbers with a sum of 2 and where the y-coordinate is 10 less than the x-coordinate: B.
How to match the options?The set of points where the coordinates of each point has a sum of 2 is defined by the following linear function
x + y = 2.
In slope-intercept form, it is of:
y = 2 - x.
Which is the decreasing line n, with an intercept of 2.
A set of points where the y-coordinate of each point is 10 less than the x-coordinate is defined by the following linear function
y = x - 10.
Which is the increasing line m, which an intercept of m.
The coordinates of each point are given as follows:
A(-2,4).B(6,-4).C(12,-10).D(2,-8).E(13,3).These points are then used to match the sentences in item b.
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Which property justifies the statement below? X(y+5)=xy+5x
Keisha and David each found the same value for cos0, as shown below, given sin0=-8/17. Keisha's Solution
tan²8+1 = sec²e
sin² e
cos² e
=+1=
17
cos² e
(-) + Co
+1=
1
cos² e
cos² e
+ cos²9=1
64
cos 9-1-
-- 289
15
cose=17
David's Solution
sin²+ cos² = 1
cos²8-1-(-17)
Со
cos = ±
225
289
15
cose=¹17 whose procedure is correct?
The procedure is correct is 1 + tan²(theta) = sec²(theta)
What is Fraction?
Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
And
cos²(theta) = 1 - sin²(theta)
Are both valid identities
Keisha and the David.
As per the question Kisha and the David found the same value of the cosine theta as given by the Sine theta = Negative Start Fraction 8 Over 17 End Fraction. The Keisha solution and the Davis solution for the solution were tan-squared (theta) + 1 = sec-squared (theta).
Thus the answer is both procedures are correct.
As they both wanted to find the solutions to the numerical problems they made two different methods.
Such as the Sine theta = Negative Start Fraction and the tan-squared (theta) + 1 = sec-squared (theta).
Hence both options are the same and true.
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2(x - 6) + 2 = 4x - 4
Answer:
x = - 3
Step-by-step explanation:
2(x - 6) + 2 = 4x - 4 ← distribute parenthesis on left side and simplify
2x - 12 + 2 = 4x - 4
2x - 10 = 4x - 4 ( subtract 4x from both sides )
- 2x - 10 = 4x - 4 ( add 10 to both sides )
- 2x = 6 ( divide both sides by - 2 )
x = - 3
Answer:
SOLUTION
2(X-6)+2=4X-4
open the blanket by multiplication
2x-12+2=4x-4
2x-10=4x-4
collect like term
2x+4x=-4+10
6x=6
divide both side by 6
x=1
