Write the slope-intercept form of the equation for the line.
y = -10/3x + 1/2
y = -3/10x + 1/2
y = 1/2x +3/10
y = 3/10x +1/2
Answer:
y=-3/10x+1/2
use the coordinates to find the gradient (m)then substitute it in this formula y=mx+c
find c by substituting one of the coordinate
Anyone know how to do this?
To solve this, we need to use our trignometric functions;
⇒ look at the diagram attached
Let's examine what the problem wants:
hypotenuse (longest side) of the triangleLet's examine what the problem gives us:
side adjacent to the 45-degree angleangle that has measure of 45-degreesLet's solve:
[tex]sin(45)=\frac{5}{x} \\5=x*sin(45)\\x = \frac{5}{sin(45)} \\x=7.07[/tex]
Answer: 7.1 (rounded to nearest tenth)
Hope that helps!
Answer:
[tex]5\sqrt2[/tex]
Step-by-step explanation:
This is a 45-45-90 triangle so we can find all the side lengths easily.
The ratio between the base and the hypotenuse of a 45-45-90 triangle is [tex]1:\sqrt2[/tex], which means for this triangle it would be [tex]5:5\sqrt2[/tex]. This means the length of the hypotenuse is [tex]5\sqrt2\\[/tex], which is [tex]x[/tex], which is the answer.
hi I need help answering this question please worth 20 points
question is : how many people went on the fishing trip ?
I need this answered quickly!
1. Trig Function
2. Coordinate value (x, y)
3. Value in terms of sinθ and/or cosθ
sinθ = _________________
cosθ = _________________
secθ = _________________
cscθ = _________________
tanθ = _________________
cotθ = _________________
The value of the trigonometry functions will be:
sinθ = opposite / hypothenuse
cosθ = adjacent / hypothenuse
secθ = 1 / cosθ
cscθ = 1 / sinθ
tanθ = opposite / adjacent
cotθ = 1 / tanθ
What is trigonometry?It should be noted that trigonometry is the branch of mathematics that's is concerned with angles and their application.
When a triangle is drawn, the longest side is the hypothenuse, the side facing the angle is the opposite and the last side is the adjacent.
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What should your units on your base area calculations be, and why? how is this different from the units on your volume calculations? explain in two to three sentences.
The units used for area are squared length units, where the length units are: meter, inch, feet, etc.
Which units are used for surface areas?
The units used for surface areas are length units (meters, inches, feet, etc) squared.
Why we use those? Because area is defined as the product between the two dimensions (two sides of rectangle, for example) of a figure. And these dimensions are given in length units. So if we take the product of two of these, we will get squared length units.
The difference with volume units, is that for volume we need 3 dimensions, then we will have cubed length units.
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Draw and label a net to find the surface area of the original juice box. it costs
supreme packaging $0.02 per square inch to create one juice box. the company
groups eight juice boxes together as one package. how much does it cost to
create one package?
Based on the area of the juicebox and the cost per square inch, the cost to create one package is $7.20.
What is the cost of one package?First, find the area of the juice box. The formula is:
= 2lh + 2lw + 2hw
= (2 x 3 x 4) + (2 x 3 x 1.5) + (2 x 4 x 1.5)
= 45 inch²
The Cost is $0.02 per square inch and the number per package is 8 juice boxes. The total cost is:
= 45 x 0.02 x 8 boxes
= $7.20
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5. you work at a t-shirt printing business. 175 of 3,500 t-shirts shipped are printed improperly. what is the experimental probability that a t-shirt is printed improperly?
a: 6%
b: 1.75%
c: 5%
d: 35%
Answer:
C: 5%
Step-by-step explanation:
175 out of 3500 = 175/3500
175/3500 = 1/20
1/20 = 0.05
0.05 = 5%
Answer:
C 5%
Step-by-step explanation:
I am smart so trust me
You design a bean bag toss board using a coordinate plate. You plot vertices of the board at C (3,2) D (3,6) E (5,2) F (5,6). What is the perimeter of the bean bag toss board?
The perimeter of the bean bag toss board is 12 units
What is the perimeter of the bean bag toss board?The points are given as:
C (3,2) D (3,6) E (5,2) F (5,6)
Calculate the distance between adjacent points using:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
So, we have:
[tex]CD = \sqrt{(3 - 3)^2 + (2 - 6)^2} = 4[/tex]
[tex]DF = \sqrt{(3 - 5)^2 + (6 - 6)^2} = 2[/tex]
[tex]FE = \sqrt{(5 - 5)^2 + (2 - 6)^2} = 4[/tex]
[tex]CE = \sqrt{(3 - 5)^2 + (2 - 2)^2} = 2[/tex]
The perimeter is then calculated as:
P = CD + DF + FE + CE
This gives
P = 4 + 2 + 4 + 2
Evaluate
P =12
Hence, the perimeter of the bean bag toss board is 12 units
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Write the equation of the following line in slope-intercept form. X
Answer:
[tex]y=-\frac{1}{2}x+2[/tex]
Step-by-step explanation:
The equation for slope-intercept form is [tex]y=mx+b[/tex].
First, we find b by looking at where the line passes through where [tex]x=0[/tex]. We can see that it is 2, so in our equation for slope-intercept form [tex]b=2[/tex].
Next, we find the slope or m. Find the slope by taking two points and plugging them into this expression [tex]\frac{x_{1}-x_{2}}{y_{1}-y_{2}}[/tex]. To demonstrate, I will choose points (0,2) and (2,1), however, any pair of points will give you the same answer. When we plug in these points, we should get the expression [tex]\frac{0-2}{2-1}[/tex]. By solving this, we get -1/2. Therefore, in our equation for slope-intercept form, [tex]m=-\frac{1}{2}[/tex].
By putting the information we have about m and b together, we get the equation [tex]y=-\frac{1}{2}x+2[/tex].
what is the value of x makes the equation 3/ 4(x+8) =9 true
Quadrilateral a'b'c'd' is the result of dilating quadrilateral abcd about point p by a scale factor of
5/2
The two statements about the dilated quadrilateral a'b'c'd' are false.
bc and bc' are on the same line ( False)
The length of the cd and c'd' are the same. (False)
The complete question is attached with the answer below.
What is dilation?Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.
Here the quadrilateral abcd is dilated by the scale factor 5 / 2.So the new quadrilateral is a'b'c'd'.
The given two statements are false:-
bc and bc' are on the same line ( False)
The length of the cd and c'd' are the same. (False)
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What is the end behavior of the graph of
?
Question 9 options:
as x increases, f(x) increases
as x decreases, f(x) decreases
as x increases, f(x) increases;
as x decreases, f(x) increases
as x increases, f(x) decreases;
as x decreases, f(x) increases
as x increases, f(x) decreases;
as x decreases, f(x) decreases
The end behavior of the graph of f(x) = -0.25x2 - 2x + 1 is that A) As x increases, f(x) increases. As x decreases, f(x) decreases.
What is the end behavior about?The end behavior of a function f tells us that the way that the graph function behaves at the "ends" of the x-axis.
Note that the end behavior of a function tells the trend of the graph and in this graph, f(x) -----> +∞ as x----> -∞ (as the value of x decreases the value of f(x) increases) and f(x) -----> -∞ as x----> +∞ (as the value of x increases the value of f(x) decreases).
Therefore, The end behavior of the graph of f(x) = -0.25x2 - 2x + 1 is that A) As x increases, f(x) increases. As x decreases, f(x) decreases.
See full question below
What is the end behavior of the graph of f(x) = -0.25x2 - 2x + 1?
A) As x increases, f(x) increases. As x decreases, f(x) decreases.
B) As x increases, f(x) decreases. As x decreases, f(x) decreases.
C) As x increases, f(x) increases. As x decreases, f(x) increases.
D) As x increases, f(x) decreases. As x decreases, f(x) increases
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HELP ASAP
stats and probs
Answer:
Step-by-step explanation:
Find f(-3) for f(x)=4•(2)^x
A. 1/2
B. -32
C. -24
D. 1/8
James has organised a game to raise money for charity at a local fair. He rolls a fair six sided dice and flips a fair coin. If the coin lands on heads, the number on the dice is squared. If the coin lands on tails, the number on the dice is cubed. Each person pays 50p to play. If they score above 30, they win £1 The game is played 450 times. How much money does James raise for charity?
The total amount that was raised for charity is £75.
What is the total amount raised?Here is the sample space
1 2 3 4 5 6
Heads 1 4 9 16 25 36
Tails 1 8 27 64 125 216
Probability of getting a number greater than 30 = 4/12 = 1/3
1/3 x 450 = 150
Total value of people getting more than 30 : 150 x £1 = £150
Total amount paid = 50 x 450 = £225
Amount raised = £225 - 150 = £75
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if population function x has mean M(x)=2 and M(x²)=8, find its standard deviation
The standard deviation of the population function is 2
How to determine the standard deviation?The given parameters are:
M(x) = 2
M(x²)=8
The standard deviation is calculated using:
[tex]\sigma = \sqrt{M(x^2) - (M(x))^2[/tex]
Substitute known values
[tex]\sigma = \sqrt{8 - 2^2[/tex]
Evaluate the expression
[tex]\sigma = 2[/tex]
Hence, the standard deviation of the population function is 2
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The table represents quadratic function g. Which statement is true about the function?
I
-5
-4 -3
-2 -1 0
-1
0
-1
-4 -9 -16
O A. The minimum occurs at the function's x-intercept.
O B.
The maximum occurs at the function's x-intercept.
O C.
The maximum occurs at the function's y-intercept.
The minimum occurs at the function's y-intercept.
O D.
Answer:
B. The maximum occurs at the function's x-intercept.
Step-by-step explanation:
Given table:
[tex]\large\begin{array}{| c | c | c | c | c | c | c |}\cline{1-7} x & -5 & -4 & -3 & -2 & -1 & 0\\\cline{1-7} g(x) & -1 & 0 & -1 & -4 & -9 & -16\\\cline{1-7}\end{array}[/tex]
From inspection of the table, we can see that:
[tex]g(-5) = -1[/tex] and[tex]g(-3) = -1[/tex]This indicates symmetry.
The line of symmetry is the mid-point between the two x-values.
Therefore, the line of symmetry is x = -4
The vertex (minima/maxima) is on the line of symmetry, therefore the vertex is at (-4, 0). As the function decreases as x → 0, the vertex is a maximum.
As the y-value of the vertex is 0, the maximum occurs at the function's x-intercept.
Answer:
B
Step-by-step explanation:
Finding the line of symmetry :
⇒ Two x-values have the same y-coordinate → (-5) and (-3)
⇒ This means the symmetry is exhibited and it lies between these 2 x-values
⇒ Line of symmetry : x = -4
=============================================================
Now, on plotting these points on a graph we see that this graph has a negative coefficient.
⇒ This means this graph will have a maximum point as the vertex
⇒ The vertex lies on the line of symmetry, hence the vertex (according to the graph and table) is (-4, 0)
Hence, we can say that the maximum occurs at the function's x-intercept.
Graph the composite function g(f(x)).
f(x)= -2x - 5
g(x) = x - 1
The equation of the composite function is g(f(x)) = -2x - 6
How to graph the composite function g(f(x))?The functions are given as:
f(x)= -2x - 5
g(x) = x - 1
In function g(x), we have:
g(x) = x - 1
Substitute f(x) for x
g(f(x)) = f(x) - 1
Substitute f(x)= -2x - 5
g(f(x)) = -2x - 5 - 1
Evaluate the difference
g(f(x)) = -2x - 6
This means that the equation of the composite function is g(f(x)) = -2x - 6
See attachment for the graph
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A set of equations is given below: Equation C: y = 6x + 9 Equation D: y = 6x + 2 How many solutions are there to the given set of equations? (1 point) a One solution b No solution c Two solutions d Infinitely many solutions
Since the values on both sides are different, hence the set of equations has no solution
System of equationsSystem of equation are made of two equations with unknown variables. Given the following equations
y = 6x + 9
y = 6x + 2
Equate
6x + 9 = 6x + 2
Collect the like terms
6x - 6x = 2 - 9
0x = -7
Since the values on both sides are different, hence the set of equations has no solution
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5 oranges are shared equally by 2 people.
About how many oranges does each person get
Answer:
2.5
Step-by-step explanation:
5 divided by 2 is 2.5
Answer:
Each person would get around 2.5 oranges.
Step-by-step explanation:
There are five oranges to split between two people- this can set up the equation 5 divided by 2 equals x. The answer to 5 divided by 2 is 2.5, meaning that each person would get around 2.5 oranges. I hope this helps! :)
A 7th grade teacher at a local middle school wants to know which
of two candidates for class president is more popular among the
7th grade students in the school. Which group of people should
make up a sample that will best answer her question?
OA) other 7th grade teachers in her
school
OB) parents of 7th graders in her school
OC) 7th graders in her school
OD) 7th graders in her homeroom
The answer is Option C) 7th graders in her school.
In order to ascertain the suitability of a candidate for any popular position, his popularity can be assessed by taking a survey of the concerned sample.
Answer:
She should ask the 7th graders in the school
Step-by-step explanation:
Because their opinion is important in electing the president.
that’s the question
Answer:
all real numbers
ez clappp
Find the value of x.
Answer:
x=36
Step-by-step explanation:
2x+2x+70+78+68=360
4x+216=360
4x=360-216
4x=144
x=144/4=36
What is the value of x? x = 2.25 x = 11.25 x = 13 x = 22
Answer:
x = 2.25 x = 11.25 x = 13 x = 22
Step-by-step explanation:
a triangle has sides lenghts of 6.8cm, 28.5cm and 29.3cm. is this a right angled triangle
Answer:
Yes it is a right angled triangle
Step-by-step explanation:
If its a right triangle it would satisfy the Pythagoras theorem.
29.3^2 = 858.49
28.5^2 = 812.25
6.8^2 = 46.24
Adding the last 2 values:
812.25 + 46.24
= 858.49
So YES.
Lines m and n are parallel on a coordinate plane. Lines m and n are transformed by the same rotation, resulting in image lines s and t. Which statement describes the relationship between lines s and t?
The statement that best describes the relationship between lines s and t is: Lines s and t are parallel.
What are parallel lines?Parallel lines can be defined as those lines that are equal to one another but does not intersect one another.
For Lines s and t to be parallel lines this means that lines s ant t are cut by transversal. Hence, transversal intersect lines s and t to make it parallels lines.
Therefore Lines s and t are parallel.
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Which of the following can be used to find the sum of the interior angles for
any regular polygon?
A. Multiply the number of sides by 180
B. Add 1 to the number of sides and multiply the sum by 180
OC. Divide the number of sides by 180
OD. Subtract 2 from the number of sides and multiply the difference by
180
Find the number of palindromes between 10,000 and 99,999 that are divisible by 25
20 palindromes exist that qualify this criteria rigorously
Examples:
52025, 52125, 52225, 52325, 52425, 52525, 52625, 52725, 52825, 57975 etc.
I need help with question two please, it’s due tomorrow first thing so kinda need to get it done
Which expression is equivalent to the given expression?
(First one is question, the rest are possible answers)
Answer:
[tex](2x + 1)(x - 6)[/tex]
Step-by-step explanation:
[tex]2 {x}^{2} - 11x - 6[/tex]
[tex]2 {x}^{2} + x - 12x - 6[/tex]
[tex]x(2x + 1) - 6(2x + 1)[/tex]
[tex](2x + 1)(x - 6)[/tex]