What is the slope formula? O A 3+ O B. 323 O a. kl 24 OD. 4
Answer:
B I'm pretty sure.
Step-by-step explanation:
Which of the following expressions is equivalent to the expression below.
Match the tangent and sine angles to their expressions.
Answer:
1) [tex]sin \left(\dfrac{- \pi}{12} \right) = \dfrac{(\sqrt{2} - \sqrt{6} }{4}[/tex]
2) [tex]tan\left(\dfrac{ \pi}{12} \right) = 2 - \sqrt{3}[/tex]
3) [tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = 2 + \sqrt{3}[/tex]
Step-by-step explanation:
1) [tex]sin \left(\dfrac{- \pi}{12} \right) = sin(-15^{\circ})[/tex]
sin(-15°) = sin(30° + (- 45°)) = sin(30°)cos(-45°) + cos(30°)sin(-45°)
sin(30°)cos(-45°) + cos(30°)sin(-45°) = 1/2 × (√2)/2 + (√3)/2 × (-√2)/2
1/2 × √2/2 + √3/2 × -√2/2 = (√2)/4 - (√6)/4 = ((√2) - (√6))/4
sin(-15°) = ((√2) - (√6))/4
[tex]sin \left(\dfrac{- \pi}{12} \right) = sin(-15^{\circ}) = \dfrac{(\sqrt{2} - \sqrt{6} }{4}[/tex]
2) [tex]tan\left(\dfrac{ \pi}{12} \right) = tan(15^{\circ})[/tex]
tan(15°) = tan(45° + (-30°)) = (tan(-30°) + tan(45°))/(1 - tan(-30°)×tan(45°))
(tan(-30°) + tan(45°))/(1 - tan(-30°)×tan(45°)) = ((-1/√3) + 1)/(1 - (-1/√3))
((-1/√3) + 1)/(1 - (-1/√3)) = (3 - √3)/(3 + √3) = (3 - √3)·(3 -√3)/((3 - √3)·(3 + √3))
(3 - √3)·(3 -√3/((3 - √3)·(3 + √3)) = (9 - 6·√3 + 3)/(9 - 3) = (12 - 6·√3)/6
(2 - √3)
[tex]tan\left(\dfrac{ \pi}{12} \right) = tan(15^{\circ}) = 2 - \sqrt{3}[/tex]
3) [tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = tan(75^{\circ})[/tex]
tan(75°) = tan(30° + 45°) = (tan(30°) + tan(45°))/(1 - tan(30°)×tan(45°))
(tan(30°) + tan(45°))/(1 - tan(30°)×tan(45°)) = ((1/√3) + 1)/(1 - 1/√3)
((1/√3) + 1)/(1 - 1/√3) = (3 + √3)/(3 - √3) = (3 + √3)·(3 +√3/((3 - √3)·(3 + √3))
(3 + √3)·(3 +√3/((3 - √3)·(3 + √3)) = (9 + 6·√3 + 3)/(9 - 3) = (12 + 6·√3)/6
(12 + 6·√3)/6 = 2 + √3
[tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = tan(75^{\circ}) = 2 + \sqrt{3}[/tex]
A slope field produces...
A. the graph of the general solution to the differential equation
B. the graph of the derivatives of the differential equation
Please explain. I am so confused on this.
It's A. B doesn't really make sense ("derivative of the differential equation" is somewhat nonsensical, "derivative of an equation" is not meaningful).
More to the point: Slope fields are used to visualize solutions to differential equations of the form
y' = f(x, y)
You take some point (x, y) and evaluate y' at the point. This gives the slope of the line tangent to the particular solution to the DE that passes through the point (x, y ).
Sample several points and evaluate y' at those points and you get several different slopes.
Simple example:
y' = x ² - y ² = (x + y ) (x - y )
Let's take the points (1, 1), (-1, 0), and (2, -2), at which we get slopes
y' = f (1, 1) = 0
y' = f (-1, 0) = 1
y' = f (2, -2) = 0
From here, you can get particular solutions that pass through a certain point by interpolating the slopes of the tangents to the solution. I've attached a slope field for the example here at the points listed above. (In the order red, green, black). Each light gray arrow in the background shows the slope of the tangent line.
If you're still unsure how the slope field is generated, I suggest looking up videos on the subject. The process is a bit difficult to describe without a dynamic visual aid.
HELP MY FRIENDS PLEASE I BEG OF THEE
The answer has to be 30.
Step-by-step explanation:Correct me if I am incorrect but I would believe I am correct. Have a good one!
✍(◔◡◔)What is the probability that a point chosen inside the rectangle is in the shaded triangle?
write as reduced fraction.
Answer:
wait what
Step-by-step explanation:
What is the y intercept
Answer:
-2
Step-by-step explanation:
line crosses the y- coordinate (0,-2)
5. ALGEBRA Refer to the figure in
Exercise 4. If m/1 = 4x + 40, and
m25 120°, what is the value of x?
Answer:
the value of x equals to 20 thats is solution okay
plz is this correct
?
Answer:
It's 3 and 177.
Step-by-step explanation:
Let the angle be x°. Then its supplementary is 59x°.
We know,
x+ 59x=180
or, x = 3°
and another angle, 59x°= 177°
20, 18, 21, 18, 22, 24, 18, 23, 23, 24 Explain the meeting of the interquartile range as it relates to the number of students in the kindergarten classes
The interquartile range of the data-set is of 5.5, which means that the middle 50% kindergarten classes has a number of students that differ by at most 5.5.
What are the median and the quartiles of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile(Q1) is the median of the first half of the data-set, and is also the 25th percentile.The third quartile(Q3) is the median of the second half of the data-set, and is also the 75th percentile.The interquartile range(IQR) represents the middle 50% of the distribution, and is given by Q3 - Q1.For this problem, the ordered data-set is given by:
18, 18, 18, 20, 21, 22, 23, 23, 24, 24.
There are 10 elements, hence:
The first half is 18, 18, 18, 20, which has median (18 + 18)/2, hence Q1 = 18.The second half is 23, 23, 24, 24, which has median (23 + 24)/2, hence Q3 = 23.5.Then the IQR is:
Q3 - Q1 = 23.5 - 18 = 5.5.
The IQR is of 5.5, which means that the middle 50% kindergarten classes has a number of students that differ by at most 5.5.
More can be learned about the interquartile range of a data-set at https://brainly.com/question/17083142
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Find the exact value of the product cos82.5cos52.5
Kiki's mother cooked a dinner that contained a total of 992 calories. She also prepared a dessert that contained a total of 846 calories. The dinner was divided into 4 equal servings. The dessert was divided into 6 equal
servings. Kiki had one serving of dinner and one serving of dessert.
Which equation could be used to solve for n, the number of calories that kiki
ate?
A. n = 992 x 4 + 846 x 6
B. n = 1,838 / 10
C. n = 992 / 4 + 846 / 6
D. n = 992 / 4 - 846 / 6
Answer: C
Step-by-step explanation:
992/4=165
846/6=141
165+141=306
(992/4) + (846/6) = 306 total calories consumed
Find the solution mentally. 3⋅(-4)=a b⋅(-3)=-12 (-12)⋅c=12 d⋅24=-12
Answer:
a=-12
b=15
c=12
d=-12
Step-by-step explanation:
3(-4)=a
b(-3)=12
c=12
d(24)=12
3(-4)=a
-12=a
a=-12
b(-3)=12
-3b=12
b=12+3
b=15
c= 12
d(24)=12
24d=12
d=12-24
d=-12
Write the equation of the line, in slope intercept form, that goes through the points (6,4) and (-3,-5)
Answer:
y = x - 2
Step-by-step explanation:
Find the slope using rise over run
(y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(-5 - 4) / (-3 - 6)
-9 / -9
= 1
Using y = mx + b, plug in the slope and a point to solve for b:
y = mx + b
4 = 1(6) + b
4 = 6 + b
-2 = b
Plug in the slope and b to y = mx + b
y = 1x - 2
y = x - 2
So, the equation of the line is y = x - 2
Which is the approximate solution to the system y=
0.5x+ 3.5 and y= -2/3x + 1/3
shown on the graph?
Decide if the function is an exponential function. If it is, state the intial value and the base. y = 5 ^ x
Answer:
B
Step-by-step explanation:
Please help me find the area
Step-by-step explanation:
1/2×28×(21+16)
calculate then u get the answer
Answer: 213
Step-by-step explanation: U are beautiful in the picture u showed
Pleaseee helpp don’t understand!!
Answer:
Step-by-step explanation: so
First you should have paired attention and I don’t understand either sorry!
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answer: im in 100% sure but i think its yes
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
I used photomath
Quizizz 10 pts each help please WITH PIC brainiest guaranteed
Answer:
2.[tex]-2m^4-6m^2+4m+9[/tex]
3.[tex]-2m^4-6m^2-4m+9[/tex]
Step-by-step explanation:
In general we can write a polynomial in standard form as
[tex]ax^n+bx^n^-^1+cx^n^-^2+...+px+q[/tex]
Given [tex]4m-2m^4-6m^2-4m+9[/tex]
Combine the like terms: 4m and -4m
4m-4m=0
We have 4m-4m=0
So, write the remaining terms
[tex]-2m^4-6m^2+9+0[/tex]
= [tex]-2m^4-6m^2+9[/tex]
This is in decreasing order of powers.
Hence the answer is the standard form is
[tex]-2m^3-6m^2+9[/tex]
But in the given options, you can choose option 2 and option 3 are in standard form.
Because they are in decreasing order of powers.
In other two options, the constants term is first and the highest power term is at the last. So, they are not in standard form.
-2m^4-6m^2+4m+9
-2m^4-6m^2-4m+9
I hope this helps you.
And please comment if I need to do corrections.
Please let me know if you have any questions.
please i will mark you brill help me
Answer:
2n + 20
Step-by-step explanation:
What is the solution set for (2x-7)^2=25
The solution set for the quadratic equation (2x - 7)² = 25 is 6 and 1.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
The solution set for a quadratic equation is the roots of the quadratic equation.
Given, (2x - 7)² = 25.
2x - 7 = ± 5.
2x = ± 5 + 7.
x = (± 5 + 7)/2.
x = 12/2 Or 2/2.
x = 6 or 1.
learn more about quadratic equations here :
https://brainly.com/question/11589380
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Fabian makes a scale drawing of his tree house with a scale factor of 1 foot = 0.44 inch. If the length of the tree house in the drawing is 3.52 inches, what is the actual length of the tree house
I need help please?
Answer:
B
Step-by-step explanation:
the blue parabola shows (1/4x)^2, the red shoes x^2, you can see the horizontal stretch, hope this helps :)
6. the quotient of kand 14
Answer:
[tex]Q = \frac{k}{14}[/tex]
Step-by-step explanation:
Given
k and 14
Required
Determine the quotient
Quotient implies that we divide k by 14.
So, the quotient (Q) of k and 14 is:
[tex]Q = \frac{k}{14}[/tex]
A system of equations is shown below,
y = 5x + 2
10x - 2y = 12
what is the solution to the system of equations?
actice Temperature Conversion Worksheet
Name: ________________________ Period: ______
6th Grade Comprehensive Science II
Directions: Use the following chart to answer the questions below
C = (F - 32) * (5/9)
F = (9/5) * C + 32
Use the space to show your work:
1. 25°C = _____________°F
2. 97°C = _____________°F
3. 2°C = _____________°F
4. -40°C = _____________°F
5. 25°F = _____________°C
6. 97°F = _____________°C
7. 2°F = _____________°C
8. -40°F = _____________°C
9. 85°C = _____________°F
10. 953°C = _____________°F
pls help im giving 73 points
PLEASE HELP I WILL GIVE BRAINLIEST!!
Answer:
43.96
Step-by-step explanation:
To find Circumference the formula is
2*3.14*R=C
replace R with your radious which is 7
2*3.14*7=43.96
A truck weighed 900 lbs. After
unloading 24 and 1/8 lbs. of trash how
much does the truck weigh?
The CEO of a company wants to determine if taking the employees to a company retreat would boost their morale. He decides to use a random number table to survey a simple random sample of 50 of the 250 employees. The employees are assigned the numbers 001–250. Refer to the given line from a random number table. Which numbers represent the first 3 members selected?
46254 58160 09695 38399 40400 32662
462, 545, 816
009, 040, 032
160, 096, 040
046, 025, 045
Answer:
B.
Step-by-step explanation:
edge2020