Function: y = 5 sin (2(x))+ 12
Find y-intercept:
y = 5 sin 2(0)+ 12
y = 12
[tex]\sf Y\:Intercepts}:\:\left(0,\:12\right)[/tex]
→ Formula for maximum: M = A + |B|
Maximum:
12 + |5|
17
When y = 17
[tex]\rightarrow \sf 17 = 5 sin (2(x))+ 12[/tex]
[tex]\rightarrow \sf \sf 5 sin (2(x)) = 5[/tex]
[tex]\rightarrow \sf sin (2(x)) = 1[/tex]
[tex]\rightarrow \sf 2x = sin^{-1}(1)[/tex]
[tex]\rightarrow \sf 2x = 90^{\circ \:}, \ \ 450^{\circ \:}[/tex]
[tex]\rightarrow \sf x = 45^{\circ \:}, \ \ 225^{\circ \:}[/tex]
maximum: ( 45° , 17 ), (225° , 17), .....
==========================================================
→ Formula for minimum: m = A ‐ |B|
Minimum:
12 - |5|
7
When y = 7
[tex]\rightarrow \sf 7 = 5 sin (2(x))+ 12[/tex]
[tex]\rightarrow \sf 5 sin (2(x)) = -5[/tex]
[tex]\rightarrow \sf 2(x) = sin^{-1}(-1)[/tex]
[tex]\rightarrow \sf x = -45^{\circ \:} , \ \ 135^{\circ \:}[/tex]
minimum: ( -45°,7), (135°, 7), .....
Repeat the same process for finding more values on the x-axis, or just follow the trend of the curve from the points found and sketch the graph easily.
[tex]\sf Domain\:\left(-\infty \: < x < \infty )[/tex]
[tex]\sf Range : 7\le \:f\left(x\right)\le \:17[/tex]
Sketched below:
what is the quotient?
Answer:
[tex]x^{2}[/tex] - 2x + 4
Step-by-step explanation:
Working alone, it takes Castel 12 hours to pick forty bushels of apples. Mei can pick the same amount in 10 hours. If they worked together how long would it take them?
Answer:
5.5 hours
Step-by-step explanation:
dibide by 2 one is 5 and one is 6, middle. is 5.5,
helppppppppp please
thanks
Answer:
Here is the answer
Step-by-step explanation:
4^4/(6^6)
help me with the dementions of this triangle
Answer:
20
Step-by-step explanation:
I'm not too sure why 22 is there. Triangle = (bh) / 2
90 x 2 = 180. 180 / 9 = 20, therefore, base is 20.
Answer:
First, we must know the formula for the area of a triangle.
A = BH x 1/2
Where 'b' represents the base, and 'h' represents the height.
Multiplying by 1/2 basically means dividing the result of (base x height) by 2.
Now we plug in what we know, given the dimensions shown.
We know that the area is 90 square units.
We also know that the height is 9, so;
A = BH x 1/2
90 = B(9) x 1/2
Solve for B:-
90 = 9b(we reverse b9 because they both serve as the same thing) x 1/2
90 = 9b x 1/2
Dividing by 1/2 also means multiplying by 2, so we multiply 2 to both sides to get rid of 1/2;
*2 *2
180 = 9b
To isolate b(base) we divide by 9 from both sides because the inverse operation of multiplication is division.
÷ 9 ÷ 9
20 = b, our base is 20 square units.
Write an equation for the line passing through the given pair of points. Give the final answer in (a) slope-intercept form and (b) standard form.
(-5.--3) and (1. -8)
(a) The equation of the line in slope-intercept form is
(Use integers or fractions for any numbers in the equation)
The equation of the line in slope-intercept form and standard form that passes through the line are y = -5 / 6x - 43 / 6 and 5x + 6y = -43 respectively.
Slope intercept equationThe Slope intercept equation is use to represent a linear table or graph. Therefore, the formula is represented as follows
y = mx + b
where
m = slope
b = y-intercept
Hence,
(-5, -3)(1, -8)
m = -8 + 3 / 1 + 5 = - 5 / 6
Using (1, -8) let's find b
-8 = -5 / 6 (1) + b
-8 + 5 / 6 = b
-48 + 5/6 = b
b = -43 / 6
Therefore, the slope intercept equation is y = -5 / 6x - 43 / 6
The equation in standard form is represented as Ax + By = C. Therefore,
y + 5 / 6 x = - 43/6
5x + 6y = -43
learn more on slope intercept equation here: https://brainly.com/question/14440205
What is the smallest number by which 256 may be divided so that the quotient is perfect cube?
Answer:
The smallest number by which 256 must be divided so that the quotient is a perfect cube is 4.
Step-by-step explanation:
Solve: log2(3x 8) = 5 which is an equivalent equation? 25 = 3x 8 52 = 3x 8 25 = [log2(3x 8)]2 52 = [log2(3x 8)]5
The value of the equivalent equation will be 32=3x+8
What will be the value of x?It is given in the question that
[tex]\rm Log_2(3x+8)=5[/tex]
Now from the antilog property property
[tex]\rm x=Log_by[/tex] can be written as below
[tex]b^x=y[/tex]
So the value of [tex]\rm Log_2(3x+8)=5[/tex] will be
[tex]2^5=3x+8[/tex]
[tex]3x+8=32[/tex]
Thus the value of the equivalent equation will be 32=3x+8
To know more about Antilog property follow
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Answer:
I did it on edgeinuity
Step-by-step explanation:
what is x (its a parralleligram)
Check the picture below.
Find the value of x. Round to the nearest tenth.
I’m going to Mcshoot myself pls help
Answer:
x = 10.8
Explanation:
[tex]\sf \sf cos(x)= \dfrac{adjacent}{hypotensue}[/tex]
using cosine rule:
[tex]\rightarrow \sf cos(26)= \dfrac{x}{12}[/tex]
[tex]\rightarrow \sf x = cos(26) *12[/tex]
[tex]\rightarrow \sf x =10.8[/tex]
Answer:
The answer is rounded 10.8
Step-by-step explanation:
Cosine is the adjacent side over the hypotenuse, or a/h. So, cos 26=x/12. To solve for x, isolation of the variable is necessary. If both sides are multiplied by 12, the equation becomes 12 (cos 26)=x. The cosine of 26 is 0.8988, which multiplied by 12 is 10.8.
Hope this helps!
The radius of a circle is 13 in. Find its circumference in terms of T(pi)
Answer: 40.82
Step-by-step explanation: You have to multiply pi and 13 to get the answer
Sam has been running his swimming pool cleaning business now for five years. He is considering enlarging his service area to a 100 mile radius, which would require two new offices in different parts of town. He would like to take out a business loan to cover the cost of expansion. The profits for Sam's business over the last 5 years are outlined in the table below. According to this information, what would be the best estimate for Sam to quote as expected profits in the next year in his new business plan? Business Year Net Profit 1 $43,502. 25 2 $47,417. 45 3 $51,685. 02 4 $56,336. 68 5 $61,406. 98 a. $66,477. 28 b. $66,933. 60 c. $72,003. 91 d. $72,957. 63.
Thus, the best estimate for Sam to quote as expected profits in the next year in his new business plan is $66,933.60.
What is net profit?Net profit is the amount of a business earn after deducting all the expenditure over it.
Sam has been running his swimming pool cleaning business now for five years. He is considering enlarging his service area to a 100 mile radius, which would require two new offices in different parts of town.
He would like to take out a business loan to cover the cost of expansion. The profits for Sam's business over the last 5 years are outlined in the table below.
Business Year Net Profit 1 $43,502.25 2 $47,417.45 3 $51,685.02 4 $56,336.68 5 $61,406.98Using the regression graph, the quadratic equation we get for this data as,
[tex]y=192.4493x^2+3318.1733x+39998.214[/tex]
For the 6 year value,
[tex]y=192.4493(6)^2+3318.1733(6)+39998.214\\y\approx 66835.43[/tex]
This value is much near to the option b which is $66,933.60.
Thus, the best estimate for Sam to quote as expected profits in the next year in his new business plan is $66,933.60.
Learn more about the Net profit here;
https://brainly.com/question/4177260
There are 9 members on a board of directors. if they must elect a chairperson, a secretary, and a treasurer, how many different slates of candidates are possible? a. 504 c. 729 b. 84 d. 362,880
Answer:
A. 504
Step-by-step explanation:
on edge 2022
Answer:
A.
Step-by-step explanation:
EDG 2022
Jeff volunteers his time by working at an animal shelter. Each year he works for a total of 240 hours. So far this year he has worked 97 hours. Which equation will solve for how many more hours (h) Jeff will volunteer for?
Answer: h + 97 = 240
Step-by-step explanation:
Total hours worked per year: 240 hours
Current hours worked so far: 97 hours.
The variable h represents hours
Therefore, h + 97 = 240
factorise: 6x^2 – 5 x – 6
Step-by-step explanation:
I think it will help you.
Look at the example
Let's use mid-term splitation
[tex]\\ \rm\rightarrowtail 6x^2-5x-6[/tex]
[tex]\\ \rm\rightarrowtail 6x^2+4x-9x-6[/tex]
[tex]\\ \rm\rightarrowtail 2x(3x+2)-3(3x+2)[/tex]
[tex]\\ \rm\rightarrowtail (2x-3)(3x+2)[/tex]
X 12. Find the volume of the composite solid. Use 3.14 for . 5.5 ft Find the volume of the cone using the formula.
Answer: 74.61 ft^3
Step-by-step explanation:
Hi! Im stuck on this question please help, thanks
Answer:
I guess it is 43.57 Hope it helps!!!
8) 120 balloons are filled with gas at the rate of 0.6 gallons per minute. How much time it takes to fill all balloons if the volume of one balloon is 1.2 gallons?
Answer:
240 Minutes
Step-by-step explanation:
0.6 per minute × 2 = 1.2 gallons .
120 balloons × 2 mins= 240 mins
STOP WITH THE LINKS! please? Help? NO LINKS!?????
Answer:
The answer is 24
just multiply 6 and 4 together
ab that goes through points (0,14)
Write an
exponential function in the form y
and (3,4802).
Answer:
y=ax, y»a
Step-by-step explanation:
that means that gradually the lines going up instead of going down and the step by step function will give you two set of points in the graph that will be your your center point
this is what I need help with, because I dont understand how to do it
Answer
102.1
Step-by-step explanation:
area of the shaded region is the area of the the whole circle subtract area area of the unshaded minor segment.
pls help! no links
A spy realizes his cover is blown and flees toward his secret
evacuation spot at a speed of 60 mph. Two hours later, a special
agent in a helicopter starts chasing the spy. The special agent travels
the same route at a speed of 90 mph.
What distance does the spy cover in t hours?
Answer:
60t = y
t; time in hours
60: Speed of the spy fleeing
y: how far he has gone in t hours
Hope this helps!
Please rate and mark brainliest!!
Have a great day!!
PLEASE HELP AND ANSWER CORRECTLY
I know the axis of symmetry but I don't know how to put it in an equation
please review the graph and answer you may use the other answers to help
Answer:
standard form: y = x² - 2x - 8
vertex form: y = (x − 1)² - 9
factorized form: y = (x + 2)(x - 4)
Step-by-step explanation:
From inspection of the graph:
Axis of symmetry: x = 1Vertex = (1, -9)x-intercepts = (-2, 0) and (4, 0)y-intercept = (0, -8)Standard quadratic form: y = ax² + b x + c
Vertex form of a quadratic equation: y = a(x − h)² + k
If a > 0 then the parabola opens upwards
If a < 0 then the parabola opens downwards
(h, k) is the vertex
c is the y-intercept
Inputting the vertex into the vertex form gives:
y = a(x − 1)² - 9
= a(x² - 2x + 1) - 9
= ax² - 2ax - 8
Using the x-intercepts to create a quadratic equation:
y = a(x + 2)(x - 4)
= a(x² - 2x - 8)
= ax² - 2ax - 8a
Comparing the y-intercepts:
-8 = -8a ⇒ a = 1
Therefore, y = x² - 2x - 8
Identify the value of y.
-6×2×9y = 7y-4+4-690
Hey there!
-6×2×9y = 7y-4+4-690
=> Let's solve your equation step-by-step.
(((−6)(2))(9))(y)=7y−4+4−690
Step 1: Simplify both sides of the equation.
(((−6)(2))(9))(y)=7y−4+4−690
−108y=7y+−4+4+−690
−108y=(7y)+(−4+4+−690)(Combine Like Terms)
−108y=7y+−690
−108y=7y−690
Step 2: Subtract 7y from both sides.
−108y−7y=7y−690−7y
−115y=−690
Step 3: Divide both sides by -115.
−115y/−115 = −690/−115
y=6
Answer:
y=6
Therefore, the value of y = 6
Answer:
y=6
Step-by-step explanation:
(((−6)(2))(9))(y)=7y−4+4−690
−108y=7y+−4+4+−690
−108y=(7y)+(−4+4+−690)
−108y=7y+−690
−108y=7y−690
Subtract 7y from both sides.
−108y−7y=7y−690−7y
−115y=−690
Step 3: Divide both sides by -115.
−115y -690
−115 -115
y=6
I hope this helped!! If so please mark brainliest and rate my answer <33
If f and f ◦ g are onto, does it follow that g is onto? justify your answer
The functions f, g and f ◦ g are illustrations of relations and functions
If f and f ◦ g are onto, it does not necessarily follow that g is onto
How to complete the statement?The onto functions are given as:
Function fFunction f ◦ gConsider the functions f and g.
The function f is an onto function, if for every element of function f, there is at least one matching element with function g.
The above definition implies that the following definition is not a condition for the two functions to be an onto function
If for every element of function g, there is at least one matching element with function f.
Hence, it does not necessarily follow that function g is onto
Read more about relations and functions at:
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The surface of an office desk has a perimeter of 20 feet and an area of 21 square feet. what are the dimensions of the desk?
Answer:
3 feet by 7 feet
Step-by-step explanation:
perimeter = 20 feet
area = 21 feet²
If the desk is a rectangle:
perimeter = 2l + 2w = 2 (l+w) = 20
2 (l+w) = 20 , divide both sides by 2
l+w = 10
area = l · w = 21
What numbers we know that have sum as 10 and their product as 21?
l + w = 10
l · w = 21
factors of 21 are 1,3,7
3+7 = 10
3 ·7 = 21
The dimensions of the desk could be 3 feet by 7 feet.
The perimeter of the figure below is 84.6 ft. Find the length of the missing side.
Answer:
7.3 ft.
Step-by-step explanation:
The perimeter of a geometrical figure is calculated by adding all side lengths up:
The perimeter of the figure in question is 84.6 ft.
2*(3.4) + 2*(11.3) + 6*(6.8) + (7.1) + ? = 84.6 (it's easier if we write equal terms in multiplying form)
77,3 + ? = 84.6 subtract 77.3 from both sides
? = 7.3 is the length of the missing side
x + 3y = 3
x - 5y = -29
solve by elimination
Answer:
x=-9
y=4
Step-by-step explanation:
x + 3y = 3
x - 5y = -29
Multiply the second equation by -1
-x + 5y = 29
Add the two equations together to eliminate x
x + 3y = 3
-x + 5y = 29
---------------------
0x +8y = 32
Divide each side by 8
8y/8 = 32/8
y = 4
Now solve for x
x+3y =3
x+3(4) = 3
x+12 = 3
Subtract 12 from each side
x+12-12 = 3-12
x = -9
help me i need this grade but im bad at math
Answer:
B
C/15=3
Step-by-step explanation:
They devided the coconuts among 15 children
3x15 =45
45÷3 =15
So the number of coconut the kids gathered is 45
C/15=3 multiply by 15 on both side
15/1 ×c/15=3×15
C=3×15
C=45
The diameter of a circle is 10 3/4 inches What is the radius, r, of the circle?
Answer:
10
Step-by-step explanation:
Using the formula
d=2r
Solving for r
r=d
2=10
2=5
7.5
A
7
10
12.5
3. sin A:
COS A:
tan A:
What is Sin
Answer:
sin is something that we say, think, or do, that displeases God
Step-by-step explanation:
hoped this helped! :)