point slope form means (y-y1)=m(x-x1)
so u need to find the slope gradient from those 2 points
m=y2-y1/x2-x1
=-6-6/11-7
=-12/4
=-3
and finally x1,y1=7,6
(y-y1) =m(x-x1)
(y-6) =-3(x-7)
6 11/12
- 3 9/12
A. 3 2/12
B. 9 20/12
C. 3 2/24
D. 2 2/12
Answer:
A) 3 2/12
Step-by-step explanation:
6 11/12 - 3 9/12 = 3 2/12
(06.04 LC) What is the slope of a line of best fit if its equation is y = 5x - 4? (1 point)
-4 ,1
O 1 ,5
O,5
what happens to the mean of the data set {2 4 5 6 8 2 5 6} if the number 7 is added to the data set?
a) the mean decreases by 1
b) the mean increases by 2
c) the mean increases by 0.25
d) the mean increases by 0.75
Answer:
C
Step-by-step explanation:
before mean = 4.75
after adding 7 the mean = 5
A recycling bin is in the shape of a right rectangular prism. The bin is 9 meters long, 5 meters wide, and 313 meters tall.
What is the volume of the recycling bin?
Answer: 14085 m^3.
Step-by-step explanation: To find the volume of a right rectangular prism, you need to multiply the length, width, and height. The equation is below:
l x w x h = V where l is the length, w is the width, h is the height, and V is the volume of the right rectangular prism.
The length of this recycling bin is 9 meters, the width is 5 meters, and the height is 313 meters. Now that we know the length, width, and height, we can substitute the variables with the information we've gathered.
9 x 5 x 313 = 14085.
Therefore, 14085 m^3 is your answer.
Have a great day! :)
The number that rode in columns was 3 2/3 times the number that rode in rows. If 2200 rode in columns, how many rode in rows?
Answer:
600
Step-by-step explanation:
Given parameters:
Number that rode in columns = \(3\frac{2}{3}\) times the number that rode in rows.
2200 rode in columns
Unknown:
Number of people that rode in rows = ?
Solution:
Let the number of people that rode in columns = C
Let the number of people that rode in rows = R
C = \(\frac{11}{3}\)R
Number of people that rode in rows = 2200;
2200 = \(\frac{11}{3}\)R
11R = 2200 x 3
R = \(\frac{2200 x 3}{11}\)
R = 200 x 3
R = 600
Number of people that rode in rows = 600
plz help due soon branniest to whoever right
Answer:
Step-by-step explanation:
Domain: all real numbers
Range: y<0
i think this is right, sorry if it is wrong
Is continuous 0.23 rational irrational 5 star to who ever helps
Answer:
yessssssssssssssssssssssssssssss
Outside temperatures over a 24-hour period can be modeled by a sinusoidal function. Suppose the high temperature of 79°F occurs at 6 PM an the average temperature for the 24-hour time period is 61°F. Find the temperature at 7 AM to the nearest tenth of a degree. °F
We are provided with the information that the high temperature of 79°F occurs at 6 PM and the average temperature for the entire 24-hour period is 61°F.
We know that the high temperature of 79°F occurs at 6 PM, which corresponds to 18:00 in a 24-hour format. Since the average temperature for the 24-hour period is 61°F, we can use this as the midline of the sinusoidal function.
The general form of a sinusoidal function is:
f(x) = A(sin(B(x - C))) + D,
where A is the amplitude, B determines the period, C is the horizontal shift, and D is the vertical shift.
In this case, the midline is 61°F, so D = 61. Since the amplitude is half of the difference between the high and low temperatures, A = (79 - 61)/2 = 9°F. The period of a sinusoidal function representing a 24-hour period is 24, so B = [2π/24] = π/12.
To find the horizontal shift, we need to calculate the time difference between the high temperature at 6 PM and 7 AM. This is 7 + 12 - 18 = 1 hour. Since 1 hour is 1/24 of the period, the horizontal shift is C = π/12.
Now we can plug in the values into the equation:
f(x) = [9(sin((π/12))(x - π/12))] + 61.
To find the temperature at 7 AM (x = 7), we evaluate the equation:
f(7) = [9(sin((π/12))(7 - π/12)) ]+ [61] ≈ 51.3°F.
Therefore, the temperature at 7 AM is approximately 51.3°F.
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Can you please help me?
Answer:
6.2
Step-by-step explanation:
\(\frac{10.3}{sin(90)} = \frac{x}{sin(37)}\) *Cross multiply*
10.3(sin(37)) = x(sin(90)) *Divide by sin(90) to isolate x*
\(x = \frac{10.3(sin(37))}{sin(90)}\) *Solve*
x = 6.19 ≈ 6.2
Does this represent a function
Answer:
yes
Step-by-step explanation:
be de dg
answerrrrrr plssss ill giveee brainliesttttt
\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)
suppose a is a set with m elements and b is a set with n elements. a. how many relations are there from a to b? explain. b. how many functions are there from a to b? explain. c. what fraction of the relations from a to b are functions?
a)There are \(2^m^n\) possible relation
b)Similarly \(n^m\)
c)\(\frac{n^m}{2^m^n}\)
a)Set A has m elements and set B has n elements
Firstly determine the number of elements A*B by using the multiplication rule
Number of elements\(=A*B=m*n=mn\)
For each element, \(A*B\) we have two option
First element 2 ways
Second element 2 ways
mn element 2 ways
By using the multiplication rule
\(2*2*2......=2^m^n }\)
Then there are \(2^m^n\) possible relation
b)Similarly \(n^m\)
c)\(\frac{n^m}{2^m^n}\)
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In circle M with mZLMN = 84 and LM = 18 units find area of sector LMN.
Round to the nearest hundredth.
The area of sector LMN is approximately 11.47 square units.
To find the area of a sector, we need to use the formula A = (θ/360)πr², where A is the area, θ is the central angle in degrees, and r is the radius of the circle.
In this case, the central angle is given as 84 degrees, and the radius is not explicitly given. However, we can find the radius by using the fact that the length of the arc is equal to the circumference of the circle multiplied by the ratio of the central angle to 360 degrees. The length of the arc can be found using the formula L = 2πr(θ/360).
Since the length of the arc is equal to the length of LM, which is 18 units, we can set up the equation as follows: 18 = 2πr(84/360).
Simplifying the equation, we have 9 = πr(84/360). Dividing both sides by π(84/360), we get r ≈ 9/(π(84/360)).
Now that we have the radius, we can substitute it into the formula for the area of a sector. The area is A ≈ (84/360)π(9/(π(84/360)))².
Simplifying further, A ≈ (84/360)(9/(π(84/360)))².
Calculating this expression, we find that A ≈ 11.47 square units (rounded to the nearest hundredth).
Therefore, the area of sector LMN is approximately 11.47 square units.
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Please I need help finding the answer to this question
(3²+5)*4
Answer:
56
Step-by-step explanation:
Use Order of Operations (PEMDAS- look it up if you don't know it)
(3 squared=9 because 3*3=9)
(9+5)*4
14*4
56
let f (x) = ⌊x2∕3⌋. find f (s) if a) s = {−2,−1,0,1,2,3}. b) s = {0,1,2,3,4,5}. c) s = {1,5,7,11}. d) s = {2,6,10,14}.
For the function f(x) = ⌊x²/3⌋, the values of f(s) for different sets s are as follows: a) f(s) = {1, 0, 0, 0, 1, 3}, b) f(s) = {0, 0, 1, 3, 5, 8}, c) f(s) = {0, 8, 16, 40}, d) f(s) = {1, 12, 33, 77}
The function f(x) = ⌊x²/3⌋ represents the floor of x²/3. To find f(s) for different sets s, let's evaluate it for each case:
a) For s = {-2, -1, 0, 1, 2, 3}:
- For -2, (-2)²/3 = 4/3, and ⌊4/3⌋ = 1.
- For -1, (-1)²/3 = 1/3, and ⌊1/3⌋ = 0.
- For 0, (0)²/3 = 0/3 = 0.
- For 1, (1)²/3 = 1/3, and ⌊1/3⌋ = 0.
- For 2, (2)²/3 = 4/3, and ⌊4/3⌋ = 1.
- For 3, (3)²/3 = 9/3 = 3.
Therefore, f(s) = {1, 0, 0, 0, 1, 3}.
b) For s = {0, 1, 2, 3, 4, 5}:
- For 0, (0)²/3 = 0/3 = 0.
- For 1, (1)²/3 = 1/3, and ⌊1/3⌋ = 0.
- For 2, (2)²/3 = 4/3, and ⌊4/3⌋ = 1.
- For 3, (3)²/3 = 9/3 = 3.
- For 4, (4)²/3 = 16/3, and ⌊16/3⌋ = 5.
- For 5, (5)²/3 = 25/3, and ⌊25/3⌋ = 8.
Therefore, f(s) = {0, 0, 1, 3, 5, 8}.
c) For s = {1, 5, 7, 11}:
- For 1, (1)²/3 = 1/3, and ⌊1/3⌋ = 0.
- For 5, (5)²/3 = 25/3, and ⌊25/3⌋ = 8.
- For 7, (7)²/3 = 49/3, and ⌊49/3⌋ = 16.
- For 11, (11)²/3 = 121/3, and ⌊121/3⌋ = 40.
Therefore, f(s) = {0, 8, 16, 40}.
d) For s = {2, 6, 10, 14}:
- For 2, (2)²/3 = 4/3, and ⌊4/3⌋ = 1.
- For 6, (6)²/3 = 36/3 = 12.
- For 10, (10)²/3 = 100/3, and ⌊100/3⌋ = 33.
- For 14, (14)²/3 = 196
The values of f(s) for the given sets show how the function ⌊x²/3⌋, which represents the floor of x²/3, behaves for different inputs.
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Evaluate 6k − j2 + 2k ÷ l when j = 5, k = 12, and l = 3.
The solution is, the value of 6k − j^2 + 2k ÷ l when j = 5, k = 12, and l = 3, is 13.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
6k − j^2 + 2k ÷ l
now, we have to simplify the given expression, using multiplication , division, addition & subtraction , as per the BODMAS rule.
so, we get,
6k − j^2 + 2k ÷ l
when j = 5, k = 12, and l = 3.
putting the values, we get,
30 - 25 +24 /3
=30 -25 + 8
=5+ 8
=13
Hence, The solution is, the value of 6k − j^2 + 2k ÷ l when j = 5, k = 12, and l = 3, is 13.
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hi hi help math please ill give brainliest too the person whom gets it right :))))))))))))
Answer:
4/1
Step-by-step explanation:
The slope of the line is y/x or rise/run. The line increases in height (y) by 4, while it only travels (x) 1. The line travels 4y in the time it takes to travel 1x. 4/1 (or just 4)
Patty had four times as many quarters as nickels. She had $12.60 in all. How many nickels and
she have?
Answer:
Hi,
Step-by-step explanation:
Let say n the number of nickels
4*n the number of quaters.
Let's calculate in cents:
n*5+4*n*25=1260
5n+100n=1260
105*n=1260
n=12 (number of nickels)
4n=48 (number of quaters)
Proof: 12*5+48*25=1260
Answer is equation B
no member of the green party voted for the tax cut. p2) mr jacobs did not vote for the tax cut. c) mr jacobs is a member of the green party.
Answer:
Mr Jacobs did not vote for the tax cut. C - Mr Jacob is a member of the Green Party. Invalid.
Step-by-step explanation:
A braced cut, 5 m wide and 7.5 m deep is
proposed in a cohesionless soil deposit having
effective cohesion C* = 0 and effective friction
angle ¢' = 36°. The first row of struts is to be
installed at a depth of 0.5 m below ground surface
and spacing between the struts should be 1.5 m.
If the horizontal spacing of struts is 3m and unit
weight of the deposit is 20 kN/m3, the maximum
strut load will be _____
The maximum strut load is 70.87 kN. The maximum strut load can be calculated using the following equation: Maximum strut load = 2 * unit weight * gravity * depth * sin(friction angle) * cos(friction angle)
In this case, the unit weight is 20 kN/m3, the gravity is 9.81 m/s^2, the depth is 7.5 m, and the friction angle is 36°. Plugging these values into the equation, we get the following:
Maximum strut load = 2 * 20 * 9.81 * 7.5 * sin(36°) * cos(36°) = 70.87 kN
Therefore, the maximum strut load is 70.87 kN.
The maximum strut load occurs at the first row of struts, which is installed at a depth of 0.5 m below ground surface. The strut load decreases with depth, and the maximum strut load is reached at the first row of struts.
The strut load is caused by the weight of the soil above the struts. The soil above the struts exerts a lateral force, which is resisted by the struts. The maximum strut load occurs when the lateral force is at its maximum.
The maximum strut load is an important design consideration for braced cuts. The strut load must be able to be safely carried by the struts. If the strut load is too high, the struts may buckle or fail.
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Which of the following is in standard form of quadratic?
ƒ(x) = −5x² – 3x +9
ƒ(x) = −5(x + 4)(x − 2)
f(x)=2x-8
f(x) = -5(x - 1)² + 6
Answer:
first option
Step-by-step explanation:
the standard form of a quadratic function is
f(x) = ax² + bx + c ( a ≠ 0 )
the only function in this form from the list is
f(x) = - 5x² - 3x + 9
Answer:
f(x) = -5x² - 3x +9
Step-by-step explanation:
The standard form of a quadratic function is: f(x) = ax² + bx + c
The intercept form of a quadratic function is: f(x) = a(x - p)(x - q)
The vertex form of a quadratic function is: f(x) = a(x - h)² + k
(when a ≠ 0)
Therefore:
f(x) = -5x² - 3x +9
This is in standard form of a quadratic equation.f(x) = -5(x + 4)(x - 2)
This is in intercept form of a quadratic equation.The x-intercepts are x = -4 and x = 2.f(x) = 2x - 8
This is a linear equation as the greatest exponent of the variable is 1.f(x) = -5(x - 1)² + 6
This is in vertex form of a quadratic equation.The vertex is (1, 6).pls help Use your response to question 1 to write a recursive definition for the amount of medication in Aldi’s bloodstream after each dose of medication. Is your definition arithmetic, geometric, or neither? Explain.
The sequence is neither arithmetic nor geometric.
What does mathematical sequence mean?Informally, a sequence in mathematics is a list of items that are in some order (or events). It possesses members, much like a set (also called elements, or terms). The length of the series is the number of ordered elements in the sequence, which could be unlimited.
Also, Arithmetic sequences, geometric sequences, quadratic sequences, and special sequences are the four primary categories of distinct sequences you need to be familiar with.
Squares, rectangles, circles, cones, cubes, and other shapes that can be created using geometry are known as geometric forms. In structural, civil, and architectural engineering, geometric forms are frequently used.
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The sequence from response to question 1 is neither arithmetic nor geometric.
How to identify the type of sequence ?The sequence in mathematics is the order of value of items or events. Usually, it contains a number or a series of numbers with a length of series that can be unlimited.
If the sequence has common differences from one value to another it can be considered as an arithmetic sequence, for example, 2,4,6,8. If the sequence has common ratios from one value to another it can be considered as a geometric sequence, for example, 2,4,8,16.
Since the response in question 1 doesn't have either common differences or common ratios, so it is neither arithmetic nor geometric.
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Consider right triangle ABC, right angled at B. If AC = 17 units and BC = 8 units determine all the trigonometric ratios of angle C.
the trigonometric ratios of angle C in right triangle ABC are: sin(C) = 8/17, cos(C) = 15/17, tan(C) = 8/15, csc(C) = 17/8, sec(C) = 17/15 and cot(C) = 15/8
To determine the trigonometric ratios of angle C in right triangle ABC, we can use the values of the sides AC and BC. Here's how we can find the trigonometric ratios:
Given: AC = 17 units and BC = 8 units
Using the Pythagorean theorem, we can find the length of side AB:
AB² = AC² - BC²
AB² = 17² - 8²
AB² = 289 - 64
AB² = 225
AB = 15 units
Now we have the lengths of all three sides of the triangle:
AC = 17 units
BC = 8 units
AB = 15 units
Using these values, we can find the trigonometric ratios:
1. Sine (sin) of angle C:
sin(C) = BC/AC
sin(C) = 8/17
2. Cosine (cos) of angle C:
cos(C) = AB/AC
cos(C) = 15/17
3. Tangent (tan) of angle C:
tan(C) = BC/AB
tan(C) = 8/15
4. Cosecant (csc) of angle C:
csc(C) = 1/sin(C)
csc(C) = 1/(8/17)
csc(C) = 17/8
5. Secant (sec) of angle C:
sec(C) = 1/cos(C)
sec(C) = 1/(15/17)
sec(C) = 17/15
6. Cotangent (cot) of angle C:
cot(C) = 1/tan(C)
cot(C) = 1/(8/15)
cot(C) = 15/8
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A student walks 3 blocks east, 4 blocks north, and 3 blocks west. What is the displacement of the student? 2 blocks north 4 blocks north 4 blocks south 10 blocks north
Answer:
The answer is 4 blocks North.
Step-by-step explanation:
You need a grid sheet to do this problem. Start anywhere on the grid sheet. Move 3 squares (blocks) right for East. Move 4 squares (blocks) toward the top for North. Then move 3 squares (blocks) left for West. You will be 4 (squares) blocks from where you started.
Which of the following is equivalent to the expression below?
3(5-2i)
Answer: 15 - 6i
Step-by-step explanation:
3(5-2i)
3×5+3×(−2i)
Do the multiplications.
15−6i
While on vacation in Colorado, an extended
family consisting of x children and y adults visited a
y
historic gold mine. The tickets to visit the gold mine
cost c dollars for children and a dollars for adults.
What is the best interpretation of the following
equation in everyday language? c = a - 7
Answer: The equation for a straight line is a linear equation. Since linear usually stands for anything straight or in a line, thus the equation for lines in the XY plane is referred to be a linear equation. For example, 2x+3y = 5 is a linear equation in two variables.
Step-by-step explanation:
If f(x)= (1/9)(9^x), what is f(3)?
Answer:
81
Step-by-step explanation:
f(x) = (1/9) * (9^x)
f(3) = (1/9) * (9^3)
f(3) = (1/9)* (9*9*9)
f(3) = (1/9) * (729)
f(3) = 729/9
f(3) = 81
Can someone help me with my 7th grade math
Answer:
3,800
Step-by-step explanation:
5500-1700=
I Need Some Help With This Problem,
Answer:
the picture it too blurry could you take another one so I can help you
The vertices of a rectangle are Q(−6,2),R(6,2),S(6,−4), and T(−6,−4). Dilate the rectangle with respect to the origin using a scale factor of 32. Then translate it 5 units right and 1 unit down. What are the coordinates of the image?
The coordinates of the final image are Q′′(
,
), R′′(
,
), S′′(
,
), and T′′(
,
).
Answer:
hi
Step-by-step explanation: