Answer: 1.06
Message: If this was helpful, let me know by giving me a thanks! :)
a line passes through the origin and(5,3). identify two additional points on this line
The equation of the line passes through the origin and (5,3) is y = 3 / 5x and two points are (5 / 3, 1) and (10/3, 2).
What is line?An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.
Given:
A line passes through the origin (0, 0) and(5,3),
The equation of the line will be,
y - 0 = 3-0 / 5-0 (x -0)
y = 3 / 5x
Put y = 1 then x = 5 / 3
Put y = 2 then x = 2 × 5 / 3 = 10 / 3
Therefore, the equation of line passes through the origin, and (5,3) is y = 3 / 5x and two points are (5 / 3, 1) and (10/3, 2).
To know more about the line:
https://brainly.com/question/2696693
#SPJ1
Given the conditional statement ~p q, which statement is logically equivalent? p ~q. ~p ~q. ~q ~p. ~q p.
Answer: contrapositive ⌝Q→⌝P.
Graph line with slope -5 and y-intercept 6
Answer:
y=-5x+6
Step-by-step explanation:
y=mx+b
y=-5x+6
I need help desperately
Answer:
0.5
Step-by-step explanation:
Which rational Expression Represents x^2 - 9/ 3x^2 * 3x^2 + 9x^2/x-3 when simplified if x ≠ 0 or 3.
The required simplified expression is: x² - 9/ 9x⁴ + 9x² for all x ≠ 0 or 3.
The given expression below is:
x² - 9 / (3x²)(3x²) + 9x²
To simplify the given expression, we must first distribute the terms on the numerator and denominator.
The numerator becomes x² - 9 and the denominator becomes (3x²)(3x²) + 9x².
Next, we must simplify the denominator by combining like terms. The denominator becomes 9x⁴ + 9x².
Finally, we can simplify the entire expression by dividing the numerator by the denominator.
This gives us the simplified expression: x² - 9/ 9x⁴ + 9x².
Note that this expression is not defined when x = 0 or x = 3, as it would result in a division by zero.
Thus, the final simplified expression is x² - 9/ 9x⁴ + 9x² for all x ≠ 0 or 3.
Learn more about Expressions here:
brainly.com/question/13947055
#SPJ1
Callie and her friend Elena are reading through different novels they checked out from their school library last Tuesday. Callie's progress
Calculator:
Neutral
through her novel can be modeled by the function p(d) = -25d. +
318, where p(d) represents the number of pages remaining to be read and dis the number of days since receiving the book. Elena's progress through her novel is modeled by the graph below.I
Answer: 69
Step-by-step explanation: jamal
How many quarts of pute antifreeze must be added to 3 quarts of a 20% antifreeze solution to obtain a 40% antifreeze solution
Answer: 0.6
Explanation: I am going to break them into steps, so that you can understand them more clearly.
Step 1: Find how much the amount of water is needed:
0.4(3 quarts + x quarts) = (0.6 quarts + x)
Step 2: Find how much the quarts is divided by 0.6:
1.2 + 0.4x = 0.6 + x
Step 3: each quart is equal to 1 therefore:
x = 1 quart - which is 0.6
Message: If this was helpful, let me know by giving me a thanks! :)
Alison is going to invest in a stock.
There is a 35% chance that she will make $4000, a
25% chance that she will lose $3000, and a 40%
chance that she will break even (make $0).
What is the expected value for Alison's investment?
Round your answer to the nearest cent if necessary,
but do not include a $ sign or the word "dollars" in
your response.
The expected value for Alison's investment is $650
What is Expected Value in Investment?A projected average value for an investment at some point in the future is known as the expected value (EV).
A anticipated value for an investment is called expected value (EV). It is determined by averaging all conceivable outcomes, multiplied by the likelihood that they will occur. The long-term average of random variables is known as EV. Additionally, it is the probability-weighted average of every potential value.
Given:
There is a 35% chance that she will make $4000.
25% chance that she will lose $3000.
and a 40% chance that she will break even (make $0).
The expected value can be calculated as:
= ∑ (Probability of event happening x Payoff if event happens)
So, The expected value is
= (35% x 4000) + (25% x -(3,000)) + (40% x 0)
= 1400 -750+0
= $650
Hence, the expected value is $2,400.
Learn more about Expected Value in Investment here:
brainly.com/question/13412627
#SPJ1
Assume that each Box object has the properties x, y, width, height and have their origin at their center, and that neither the objects nor the bounding boxes rotate.
As you stated, a convention is as follows: x, y, w, h; likewise, the origin of the picture is from top left, not really the bottom left, as indicated by your drawing. The clusters for top left the box's corner are x, y, and w, h.
The bounding box for object detection may be located in what way?Box Bounding In order to characterize the target position in object recognition, we often utilize a bounding box. Both x and y axis values there at upper-left corner as well as the x and y axes coordinates inside the bottom part of the rectangular define the bounding box, which is a rectangular box.
How can I determine the rectangle's bounding box?The x - axis and y axis values at the upper-left corner as well as the x and y axis values inside the bottom part of a rectangle define the bounding box, which is a rectangular box. Based on the image, we will create the bounding boxes for the dog and cat.
To know more about box's visit:
https://brainly.com/question/23952628
#SPJ4
Find the opposite of 4p3+9p−2 .
The opposite of the given polynomial 4p³ + 9p - 2 is; -4p³ - 9p + 2
What is the opposite of the number?The opposite of a number is basically its additive inverse. This means the sum of a number and its opposite is zero. We refer to this as the property of opposites.
Thus, we can say that the opposite of −888 is 888 ; the opposite of 25 is −25 ; the opposite of 4 is −4 .
Now, we want to find the opposite of the polynomial given as;
4p³ + 9p - 2
Applying the concept of opposite numbers gives us;
-4p³ - 9p + 2
Read more about Opposite of number at; https://brainly.com/question/10488315
#SPJ1
The four members of a singing quartet are buying new outfits. The shirts are $21, the pants are $26, the hats are $6 and the canes
are $13. What is the total cost of the new outfits for all the members?
O $264
O $284
O $244
O $224
The total cost of the new outfits for all the members is $264. So, the correct answer is option A.
What is total?A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.
Given that, the shirts are $21, the pants are $26, the hats are $6 and the canes are $13.
Here, the cost of outfits for a person is
(21+26+6+13)=66
The cost of outfits for the four members is
66×4=$264
Therefore, option A is the correct answer.
Learn more about the total here:
https://brainly.com/question/15842940.
#SPJ1
Alan opened a $10,000 line of revolving credit at the bank. How
much can he borrow if he has already borrowed $2,000 and paid
back $500 of that amount?
The amount that Alan can be able to borrow for credit balance is $8,500.
What is credit balance?
The capacity to access products or services or borrow money with the idea that you'll pay for them later is known as credit. An amount that the card issuer owes you can be seen as a credit balance on your billing statement. With each payment you make, credits are added to your account. When you return something you purchased with a credit card, a credit might be added.
Given, total limit = $10,000
Borrowed amount = $2,000
paid back = $500
So, remaining amount that he can borrow = $10,000 - $2,000 + $500
= $8,500
Hence, he can be able to borrow $8,500.
To learn more about credit balance
https://brainly.com/question/18920345
#SPJ1
Write the model for g (a), whose graph represents the indicated transformations of
f (x).
f(x) = x²
2 Units Left, then 3 Units Down, followed by a reflection in the x-axis
NO SPACES and use ^2 to represent the 2 in ²
g(x) =
The function of g is -3x+6
How to calculate function of g?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
The g function can be obtained from the graph using two points, the first (0,6) and the second (2,0).
Remember, a line has the following equation:
Since x=0 and y=6, y=mx=b, where'm' denotes the slope and 'b' the interception.
Now to find the slope, lets use the following equation:
m=y2 - y1/x2 - x1
With the previously obtained point.
We have m=-3
g=-3x+6
Therefore the function of g is -3x+6
The complete question is : Write a function g whose graph represents the indicated transformation of the graph of f(x)=6-x.
To learn more about function refer to :
https://brainly.com/question/25638609
#SPJ1
Find g(x), where g(x) is the translation 4 units left of f(x)=3x–10.
Write your answer in the form mx+b, where m and b are integers.
The function f(x) after translation by 4 units left is g(x) = y = 3x + 2.
What is an expression? What is a expression? What is a mathematical equation? A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.Given is the function as -
f(x) = 3x - 10.
We have the function -
y = 3x - 10
We can write the function f(x) after translation by 4 units left as -
y = 3(x + 4) - 10
y = 3x + 12 - 10
y = 3x + 2
Therefore, the function g(x) can be written as y = 3x + 2
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ1
A pilot study of electro-mechanical protection devices used in electrical power systems showed that of 193 devices that failed when tested, 75 failed due to mechanical parts failures. (a) How large a sample is required to estimate the population proportion to within an error of 0.03 with 95% confidence? (b) what would your answer be if no information from a pilot study are available?
(a) A sample size of 784.44 is required to estimate the population proportion to within an error of 0.03 with 95% confidence.
(b) A sample size of 393.22 would be required if no information from a pilot study is available.
What is a sample size?
Sample size refers to the number of observations or measurements that are taken from a larger population as part of a statistical study. In statistical analysis, a sample is a subset of the population being studied, and the sample size is the number of observations or units of analysis included in the sample.
To answer this question, we need to use the formula for the sample size of a proportion:
[tex]n = \frac{Z^2 * p * (1 - p))}{e^2}[/tex]
Where n is the sample size, Z is the z-score corresponding to the desired confidence level (in this case, Z = 1.96 for a 95% confidence level), p is the estimated population proportion (in this case, p = 0.75 based on the information provided in the question), and e is the desired margin of error (in this case, e = 0.03).
Plugging these values into the formula, we get:
[tex]n = \frac{(1.96^2 * 0.75 * 0.25)}{0.03^2} \\\\n= 784.44[/tex]
If no information from a pilot study is available, we would need to use a default value for p (such as p = 0.5) in the formula. In this case, we would get:
[tex]n = \frac{(1.96^2 * 0.5 * 0.5)}{0.03^2}\\\\n= 393.22[/tex]
Hence,
(a) A sample size of 784.44 is required to estimate the population proportion to within an error of 0.03 with 95% confidence.
(b) A sample size of 393.22 would be required if no information from a pilot study is available.
To learn more about the sample size, visit:
https://brainly.com/question/14470673
#SPJ4
a pineapple which was bought for $1.00 was sold at $1.30. calculate the profit percent
Answer: 30%
Step-by-step explanation:
First, calculate the difference between the original number and the new number:
1.30 - 1.00 = 0.30
Second, divide the difference by the original number.
0.30/1.00 = 0.3
Third, multiply the answer by 100 to get the percentage. (Remember cent means 100!)
0.3 * 100 = 30
Therefore, the profit per cent was 30%.
Hoped this helped!
Find the values of x and y
x=_____
y=_____
The value of x is 30 degrees and the value of y = 5
The total figure is divided in to two triangles
Consider the first triangles
All the angles of the triangles is equal that is 60 degrees, This is a equilateral triangles
In equilateral triangles all the sides will be equal
Then the equation will be
8y = 40
y = 40/8
y = 5
Then consider the second triangle
Here, two sides are 40 units and third side is different, therefore it is an isosceles triangle
Then the equation will be
x + x + (180-60) = 180
2x + 120 = 180
2x = 180 - 120
2x = 60
x = 60/2
x = 30 degrees
Therefore, the value of x and y are 30 degrees and 5 respectively
Learn more about triangle here
brainly.com/question/10147636
#SPJ4
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
Answer:
i think the answer is something like maybe if the artist is really good at doing something well and looking good
this question is hard
Please help! No work needed!!!!
The limit intercepted by the given function, f'(8) is [tex]\lim_{n \to \8} \frac{\sqrt[3]{(x-8)} -8 }{x-8}[/tex]
What is limit?A limit is a value toward which an expression converges as one or more variables approach certain values, a limit tells us the value of a function when its input closes to a certain value. Limits are used to define continuity, derivatives, and integrals. The limit of a product is equal to the product of the limits. The limit of a quotient is equal to the quotient of the limits. The limit of a constant function is equal to the constant.
Given that a function, f(x) = ∛x
The formula for applying the limit is :-
The first derivative is given by,
f'(x) = limx->c (f(x) - f(c))/(x-c)
Applying limit, we get,
f'(x) = [tex]\lim_{n \to \8} \frac{\sqrt[3]{(x-8)} -8 }{x-8}[/tex]
Hence, The limit intercepted by f'(8) is [tex]\lim_{n \to \8} \frac{\sqrt[3]{(x-8)} -8 }{x-8}[/tex]
For more references on limits, click;
https://brainly.com/question/8533149
#SPJ1
Wanda drove for w hours on a trip. Wanda's husband
drove 3 hours more than she did. Which expression
represents the total time they spent driving?
A. w+6
B. 2w+3
C. w-6
D. 2w -3
By using the concept of addition, it can be calculated that-
The total time they spent driving = 2w + 3
Option b is correct
What is addition?
Suppose there are many numbers, and we need to find the sum total of all those integers, then the operation used in this case is called addition
This is a word problem on addition
Wanda drove for w hours on a trip.
Wanda's husband drove 3 hours more than she did.
Time for which Wanda's husband drove = w + 3
The total time they spent driving = w + w + 3
= 2w + 3
To learn more about addition, refer to the link-
https://brainly.com/question/20460320
#SPJ1
If
Draw the missing shape. Then explain how you know your answer is correct.
If Trapezoid + circle = triangle
Then triangle - trapezoid = circle
For the given expression on shapes, if Trapezoid and circle together make a circle , than the difference of triangle and trapezoid equals to a circle.
What is an expression? What is a expression? What is a mathematical equation? A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.Given is that -
Trapezoid + circle = triangle
Triangle - trapezoid = circle
We can write -
t + c = T ..... Eq[1]
T - t = c ...... Eq[2]
We can write -
Eq [2] as-
T = c + t
Then, equation [1] will be -
t + c = c + t
The statements : if trapezoid + circle = triangle, then triangle - trapezoid = circle is proved to be true.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ1
Find the vertex of x^2-4x+3=0.
Is the vertex a minimum or maximum. Explain.
You must show all work to receive full credit.
I asked you if you typed it correctly, and you said that it was typed correctly.
x^2 - 4x + 3 = 0
This is not the equation of a graph, it is vertical lines with infinite slope.
But, if it were a regular function
x^2 - 4x + 3 = y
a b c
To find the vertex, use the vertex formula
-b/2a
-(-4)/2(1)=4/2 = 2.
The vertex is at x = 2
4-8+3=y
y = -1
Coordinates of vertex is (2,-1)
It is a minimum because the coefficient a is a positive number
Hope this helps :)
-Jeron
Consider the Matrices
The dimensions of the product matrix are:
BD = 2 x 1
DA = 1 x 2
DC = 2 x 3
What is a matrix?A matrix is a form of writing items in rows and columns.
The dimensions of the matrix are written as m x n.
Where m is the number of rows and n is the number of columns.
We have,
The matrix A has dimensions 3 x 2.
The matrix B has dimensions 2 x 2.
The matrix C has dimensions 1 x 3.
The matrix D has dimensions 2 x 1.
The dimensions of the product of two matrices is given as,
A = p x q
B = q x r
AB = p x r
Thus,
The dimensions of the product matrix of BD.
= 2 x 1
The dimensions of the product matrix of CA.
= 1 x 2
The dimensions of the product matrix of DC.
= 2 x 3
Learn more about matrices here:
https://brainly.com/question/11367104
#SPJ1
find the slope of the line passing through the points (7, -1 ) and ( 3, -6)
Answer:
1
Step-by-step explanation:
m = y2-y1 / x2-x1
m = -6+1 / 3-7
m = -5/-5
m = 1
Answer:
Slope = -5/4
Step-by-step explanation:
What is 2+2?
A. 4
B. 2
C. 1
D. 0
Answer:
A. 4
Step-by-step explanation:
2+2=4
Adding
If 1/5 of the distance from the x-axis to the point A(2a+3,3a+4) is equal to 6/7 of the distance from the y-axis to the point B(4-a,5-a). What is the value of a, if a>5?
The fraction of the distances of the points A(2·a + 3, 3·a + 4), and B(4 - a, 5 - a) from the x- and y-axis and the value of a > 5, indicates that the value of a is 16.[tex]\overline{4}[/tex]
What is a fraction in mathematics?A fraction is a representation of the amount a part of an item compared to the whole of the item.
The distance from the x-axis to the point A(2·a + 3, 3·a + 4) = 3·a + 4
The distance from the y-axis to the point B(4 - a, 5 - a) = 4 - a
Therefore; 1/5 of the distance from the x-axis to the point A(2·a + 3, 3·a + 4) is (1/5) × (3·a + 4)
6/7 of the distance from the y-axis to the point B(4 - a, 5 - a) is (6/7) × (4 - a)
The details in the question indicates; (1/5) × (3·a + 4) = (6/7) × (4 - a)
However, if a > 5, then 4 - a < 0, while (3·a + 4) > 0, from which we get;
If a > 5, then, (1/5) × (3·a + 4) = (6/7) × (a - 4)
[tex]\dfrac{1}{5} \times (3\cdot a + 4) = \dfrac{6}{7} \times (a -4)[/tex]
7 × (3·a + 4) = 5 × 6 × (a - 4)
21·a + 28 = 30·a - 120
30·a - 21·a = 9·a = 120 + 28 = 148
a = 148/9 = 16.[tex]\overline 4[/tex]
Learn more about the coordinate plane here:
https://brainly.com/question/14594339
#SPJ1
θ is an acute angle. Find the value of θ in degrees.
sec(θ)=2
The value of θ is 60° and the the value of the equation sec 60° = 2
What are trigonometric relations?
Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the angle be represented as θ
Now , given that the angle θ is acute
Acute angles measure less than 90 degrees
So , the value of θ < 90°
when the value of sec θ = 2
cos θ = 1/sec θ
So , cos θ = 1/2
The value of θ when cos θ is 1/2 is when the angle θ is 60°
Therefore , the value of θ is 60° and sec 60° = 2
Hence , The value of θ is 60° and the the value of the equation sec 60° = 2
To learn more about trigonometric relations click :
https://brainly.com/question/14746686
#SPJ1
Write the Roman Numeral CXXXIV in standard???
Answer:
Step-by-step explanation: C is 100 X is 10 IV is 4 since the smaller number is in the front so you subtract instead of add
C=100 3X=30 IV=4
100+30+4=134
CXXXIV=134
pair of athletic shoes costs 105$. If the inflation rate remains constant at 7%, write an algebraic rule to determine the cost, c(t), of the shoes after t years.
Answer:
c(t) = 105·1.07^t
Step-by-step explanation:
You want an exponential equation describing the cost of athletic shoes that are $105 now and whose cost is growing at 7% per year for t years.
Exponential equationThe general form of the exponential equation is ...
c(t) = a·b^t
where 'a' is the initial cost (105) and b is the growth factor. The growth factor is related to the given growth rate by ...
b = 1 +r = 1 +7% = 1.07
Then the equation is ...
c(t) = 105·1.07^t
Y = -1/4x + 7 solve for slope
Answer:
-1/4
Step-by-step explanation:
y=mx+b
m-slope
b- y-intercept
here, m = -1/4. Slope =-1/4