Answer:
Y=5X because the slope is 5 and the Y-intercept is 0
Sketch the graph of y = 5 sin 2x° + 12
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:
A baker makes 75 muffins and
puts them in boxes of 4. He fills
as many boxes as he can. How
many boxes does he need to
hold all the muffins
Answer:
19 boxes, but only 18 of them will be completely full
Step-by-step explanation:
Divide 75 by 4 to see how many boxes you can completely fill. You get 18 and 3/4, so there will be 18 boxes of four muffins (completely full), and one box with 3 muffins in it.
Hopefully this helps - let me know if you have any questions!
Help Please!!!!!!!!!!!!!
Answer:
A. 2086 yd²
Step-by-step explanation:
SA = 2lw + 2wh + 2lh
SA = 2*17*20 + 2*20*19 + 2*17*19
SA = 680 + 760 + 646
SA = 2086
Hope this helps :)
Unit 10: circles homework 2: central angles & arc measures
The central angle (127 degrees) is the angle at point K
The measures of JL and JML are 127 and 233 degrees, respectively
How to determine the measures of angles JL and JML?From the complete question, we have:
JL = 127 degrees.
The sum of angles at a point is 360 degrees
So, we have:
JML + 127 = 360
Subtract 127 from both sides
JML = 233
Hence, the measures of JL and JML are 127 and 233 degrees, respectively
Read more about circles and arcs at:
https://brainly.com/question/25305793
Ron and harry have ages that are consecutive odd integers. The product of their ages is 783. Which equation could be used to find ron’s age, r, if he is the younger man?
Answer:
The answer is (3).
Step-by-step explanation:
Ron and Harry have ages that are consecutive odd integers. The product of their ages is 783. So, the ron's age r is 27.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Ron and harry have ages that are consecutive odd integers. The product of their ages is 783.
r is younger
r + 2 = s
product is 783
783 = rs
s = r +2
783 = r(r+2)
So, the quadratic equation form
783 = r^2 + 2r
0 = r^2 + 2r -783
0 = (r -27)(r +29)
set to zero
r-27 = 0
r = 27
and
r + 29 = 0
r = -29
thus, The age of ron is 27 years old.
Learn more about quadratic equations;
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How do I prove if EFGH is a rhombus in this paragraph proof?
Explanation:
There are many approaches you can take. Perhaps one of the easiest is to show the sides of the rhombus are all the same length. This can be done several ways. Here are a couple of them.
__
1.A square has degree 4 rotational symmetry, so will map to itself when rotated by any multiple of 90°. This means the midpoints of adjacent sides will map to themselves, and any segment joining the midpoints of adjacent sides will map to itself. When segments map to themselves, they are congruent, hence the four sides of EFGH are congruent, and the figure is a rhombus.
__
2.The sides of a square are the same length and all corner angles are right angles. Midpoints of the sides divide the sides into congruent parts, so all of the segments PF, FQ, QG, GR, and so on are congruent. This means all of the triangles PFE, QGF, RHG, and SEH are congruent by the LL postulate. Corresponding sides of congruent triangles are congruent, so the sides of EFGH are congruent, and the figure is a rhombus.
Please help, I'm stuck
Suppose ten distinct, positive integers have a median of $10$. ("Distinct integers" means that no two integers are the same.)
What is the smallest the average of those ten integers could be?
Explain your answer in complete sentences.
Answer:
8 (or 8.4)
Step-by-step explanation:
First, the problem states the words: Distinct and positive.
That means that the smallest number we can use is 0.
We can make 10 blanks for 10 numbers for us to fill in.
_ _ _ _ _ _ _ _ _ _
Since 10 is an even number, and the median is not one single number, it will be the middle of the two numbers.
In this case, our two numbers are the 5th and 6th blank.
Any two numbers can be used, as long as they are the same actual value from 10.
Let us first put in the numbers we can, which are the numbers before the two middle blanks.
0,1,2,3, _ _ _ _ _ _
To find the median between two numbers, we can do:
(a+b) divided by 2 = median
We can use the smallest following number, 4. Then the 6th number will have to be 16 for 10 to be in the middle.
Also try the largest possible number for the 5th blank, 9. Then the 6th number will be 11.
4+16 and 9+11 both equal 20, and 20 divided by 2 is 10. So both of these work.
Now let's place the other numbers in for these two equations.
0,1,2,3,4,16,17,18,19,20
0,1,2,3,9,11,12,13,14,15
If we add the numbers of each together, we get:
0,1,2,3,4,16,17,18,19,20=100
0,1,2,3,9,11,12,13,14,15= 80
If we now divide each sum by 10 (to find the average) we get:
10
8
Since both of these were the most we could go, one with the 5th number as small as possible and one with the 5th number as large as possible.
Since the smaller answer we got was 8, the answer must be 8.
(I believe 0 is a positive integer because it doesn't carry a negative sign. If 0 is not a positive integer, the answer is 8.4. Use the same process
divide, need help again ppl, thanks!
Answers:
5.) [tex]\displaystyle \pm{1\frac{2}{3}}[/tex]
4.) [tex]\displaystyle 2[/tex]
3.) [tex]\displaystyle \pm{1\frac{2}{3}}[/tex]
2.) [tex]\displaystyle 2[/tex]
1.) [tex]\displaystyle \pm{2}[/tex]
Step-by-step explanations:
5.) [tex]\displaystyle \frac{\sqrt{75}}{\sqrt{27}} \hookrightarrow \sqrt{2\frac{7}{9}} \hookrightarrow \frac{\pm{5\sqrt{3}}}{\pm{3\sqrt{3}}} \\ \\ \boxed{\pm{1\frac{2}{3}}}[/tex]
4.) [tex]\displaystyle \frac{\sqrt[5]{96}}{\sqrt[5]{3}} \hookrightarrow \sqrt[5]{32} \hookrightarrow \frac{2\sqrt[5]{3}}{\sqrt[5]{3}} \\ \\ \boxed{2}[/tex]
3.) [tex]\displaystyle \frac{\sqrt{125}}{\sqrt{45}} \hookrightarrow \sqrt{2\frac{7}{9}} \hookrightarrow \frac{\pm{5\sqrt{5}}}{\pm{3\sqrt{5}}} \\ \\ \boxed{\pm{1\frac{2}{3}}}[/tex]
2.) [tex]\displaystyle \frac{\sqrt[3]{24}}{\sqrt[3]{3}} \hookrightarrow \sqrt[3]{8} \hookrightarrow \frac{2\sqrt[3]{3}}{\sqrt[3]{3}} \\ \\ \boxed{2}[/tex]
1.) [tex]\displaystyle \frac{\sqrt{8}}{\sqrt{2}} \hookrightarrow \sqrt{4} \hookrightarrow \frac{\pm{2\sqrt{2}}}{\pm{\sqrt{2}}} \\ \\ \boxed{\pm{2}}[/tex]
I am joyous to assist you at any time.
Please Help!!!!!!!!!!!!!!! I need this ASAP!
What is 2+4(4x49=4+39(563x7=
Answer:
Step-by-step explanation:
2+4(4x49)=4+39(563x7)
2+4x196=4+39x3941
2+784=4+153699
786=153703
This equation is
not possible because
786≠153703
The graph of $y = f(x)$ is symmetric across the line $x = 5$. The graph also passes through the point $(8,-7).$ Find another point that must lie on the graph of $y = f(x).$
Because we know one point and an axis of symmetry, we know that the point (2, -7) must lie on the graph.
Which other point must lie on the graph?If a function has a line of symmetry at x = x₀, then we know that:
f(x₀ + x) = f(x₀ - x).
So we have symmetry around that line.
Then, if the line of symmetry is at x = 5 and we know that:
f(8) = f(5 + 3) = -7
We also must have:
f(2) = f(5 - 3) = -7
Then the point (2, - 7) must be on the graph.
If you want to learn more about symmetry you can read:
https://brainly.com/question/11408596
There are 49 students had their lunch in the cafeteria. One-
seventh of them brought lunches from home. How many
students brought lunches from home? students
Please Help I'm Confused.
Answer:
The last one
Step-by-step explanation:
Look at A and A'
It moved 4 units to the right and 1 unit down
The same with B, B' and C, C'
Angle α is drawn on the unit circle in standard position. The terminal side of angle α intersects the unit circle at point (-0.292, 0.956). What is the approximate decimal value of tan(α)?
The approximate decimal value of tan(α) is -3.274, α intersects the unit circle at point (-0.292, 0.956)
What is a unit circle?
A circle is the locus of a point such that its distance from a fixed point (center) is always constant.
A unit circle is a circle with a unit radius.
Given that:
The terminal side of angle α intersects the unit circle at point (-0.292, 0.956).
Hence:
tan(α) = (0.956 / -0.292) = -3.274
The approximate decimal value of tan(α) is -3.274, α intersects the unit circle at point (-0.292, 0.956)
Find out more on unit circle at: https://brainly.com/question/23989157
A teacher puts five packages of craft paper into a cabinet each package has 80 sheets of paper what is the total number of sheets of craft paper that the teacher put into the cabinet and wears a.40 b.85 c.400 d.450
Answer:
C
Step-by-step explanation:
If we have 5 packages and each contains 80, we are basically doing 80+80+80+80+80 (5 TIMES) which is referred to as 80×5=400
Answer:
1 package contain 80 sheets of paper.
If there is 5 packages, there will be 'x' sheets of paper.
We replace the sheets of paper with 'x', because the value of x is unknown.
Now we set up the equation:
Sheets 80 x__________ _________ = _________, solve for x;
Packages 1 580/1 = x/5
*5 *5
400 = x
x-5=16 what operation would you have to do on both sides of the equation to get x by itself
Answer:
Add 5 to both sides
Step-by-step explanation:
x-5=16
+5 +5
x=21
Answer:
Addition
Step-by-step explanation:
x - 5 = 16
x - 5 + 5 = 16 + 5
x = 21
Pleassee helpp, find X.
x=37.5
if you need an explanation i can type it in the comments
Which number of degrees is the measure of the angle? explain how you know.
Can you please show me what angle?
(i) Express 0•05 as a common fraction.
(ii) Find the sum of the following;
a. 673•3 + 34•92
b. 6095 + 2540•40
c. 141 + 6•392
Answer:
please rate and mark as brainlest.
Step-by-step explanation:
(i) 1/20
(ii)
a.708.22
b.8635.4
c.147.392
please rate and mark as brainlest.
What are the zeros of this function?
A. x=0 and x=6
B. x=0 and x= -9
C. x=0 and x= -6
D. x=3 and x= -9
Answer:
A
Step-by-step explanation:
The zeros are the roots or x-intercepts
They are located at coordinate points (0, 0) and (6, 0)
This means the answer is A
Hope it makes sense!
Answer:
A. x = 0 and x = 6
Step-by-step explanation:
So, the zeroes of a quadratic are the parts of it that touch the x-axis. When you find those parts, take their x value and you will get the zero.
So, in this parabola, it touches the x-axis at (0, 0) and (6, 0).
The x-values of these are 0 and 6, respectively.
PLEASE HELP!!! will give brainlisest
Answer:
[tex]\sf \dfrac{x}{8}-22[/tex]
Explanation:
[tex]\rightarrow \sf \left(\dfrac{7}{8}x-4\right)-3\left(\dfrac{1}{4}x+6\right)[/tex]
remove parenthesis
[tex]\sf \rightarrow \dfrac{7}{8}x-4-\dfrac{3x}{4}-18[/tex]
expand
[tex]\rightarrow \sf \dfrac{7x}{8}-\dfrac{3x}{4}-22[/tex]
simplify
[tex]\rightarrow \sf \dfrac{x}{8}-22[/tex]
Answer:
[tex]\frac18x-22[/tex]
Step-by-step explanation:
Given expression:
[tex](\frac78x-4)-3(\frac14x+6)[/tex]
Expand:
[tex]\implies \frac78x-4-\frac34x-18[/tex]
Gather like terms:
[tex]\implies \frac78x-\frac34x-4-18[/tex]
Change 3/4 into eighths:
[tex]\implies \frac78x-\frac68x-4-18[/tex]
Combine like terms:
[tex]\implies \frac18x-22[/tex]
Crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. This year, the harvest at a farm was 9,396 bushels of soybeans, resulting in a crop yield of 40. 5 bushels per acre. To the nearest whole acre, how many acres were harvested? 232 acres 252 acres 285 acres 295 acres.
The total harvested area is 232 acres .
To determine the number of acres harvested, we simply have to divide the bushels of soybean by the crop yield.
Mathematically we can write it as,
What is the formula for the total land area?The total land area = bushels of soybean / bushels per acre
Substituting the known values,
[tex]Total land area = 9396 / 40.5 = 232[/tex]
Therefore, 232 acres were harvested.
To learn more about the area visit:
https://brainly.com/question/25292087
Answer:The total harvested area is 232 acres
Step-by-step explanation:
How do you write a decimal for 30 divided by 8
Answer:
3.75?
Step-by-step explanation:
I dont know if this is what youre looking for but I guess?
FLVS
Use the map to answer the question that follows.
Uranium
Silver
Oil
Lead & Zinc
Iron
World Mineral Resources
Diamond
Bauxite
Coal
Copper
Gold
How do the mineral resources in North America compare with the rest of the world?
Previous Question
Answer:
They have more resources and yeah they just do
Step-by-step explanation:
I have no clue why im just guessing
Bruce and his family arrived at the beach at 10:28 a.m. on Saturday morning. They left their house 12 hours and 20 minutes before their arrival at the beach. What time did they leave their house?
Include am or pm in your answer.
help me pls
Answer:
10:48 pm will be your answer
A rectangular prism has a base area of 23 cm² and a height of 6 centimeters. What is the volume of the prism?
Enter your answer in the box.
cm³
Answer:
Answer is 138
Step-by-step explanation:
I took the test and it was 138
if x=-2 then write the ordered pair that is a solution of 5x-3y=-25
Answer:
(2,11 2/3) or (2,(35/3))
Step-by-step explanation:
5x-3y=-25
For x = 2:
5(2)-3y=-25
10-3y=-25
-3y=-35
y = (35/3) or 11 2/3
(2,11 2/3)
Answer:
X = -2
Y= 5
You use:
5x-3(5)=-25
and
5(-2)-3y=-25
HELP AGAIN I NEED IT DUE IN 10 MIN
Answer:
C: 28 inches
Step-by-step explanation:
Perimeter is when you add the length of each sides together.
Answer:
c
Step-by-step explanation: Because to get the perimeter you need to add all the sides of the figure for example 9+9+5+5=28 :]
x=3y+1
2x+4y=12
Solve each system by substitution
The required values are :
[tex]\qquad \sf \dashrightarrow \:x = 4[/tex]
and
[tex]\qquad \sf \dashrightarrow \:y = 1[/tex]
Check the attachment for solution ~
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How do u find an area of a cuboid?
Answer:
To find the surface area of a cuboid, add the areas of all 6 faces.