Answer:
[tex]f(x)=4\cos(2x)+3[/tex]
Step-by-step explanation:
Using the general equation [tex]f(x)=a\cos(bx+c)+d[/tex], we already know that [tex]a=4[/tex] and [tex]d=3[/tex], but we need to find [tex]b[/tex] from the period:
[tex]\frac{2\pi}{|b|}=\pi\\ 2\pi=b\pi\\2=b[/tex]
Hence, the cosine function is [tex]f(x)=4\cos(2x)+3[/tex]
Vectors u, v, and w are shown in the graph. What are the magnitude and direction of u + v + w?
Magnitude and direction of u + v + w is equals to 57.871 and 19°.
What is vectors?"Vectors are those quantity of which represents both direction as well magnitude."
According to the question,
As shown in diagram we have,
u + v + w
= (wcos30°)[tex]\^{i}[/tex] + (wsin30°)[tex]\^{j}[/tex] +(vcos20°)[tex]\^{j}[/tex] - (vsin40°)[tex]\^{i}[/tex] -(ucos40°)[tex]\^{i}[/tex] -(usin40°)[tex]\^{j}[/tex]
= ( wcos30° - vsin40° - ucos40°)[tex]\^{i}[/tex] + (wsin30°+ vcos20° - usin40°)[tex]\^{j}[/tex]
Substitute the value of ║w║ = 40 ,║v║=60,and ║u║= 90 we get,
u + v +w
= ( 40cos30° - 60sin40° - 90cos40°)[tex]\^{i}[/tex] + (40sin30°+ 60cos20° - 90sin40°)[tex]\^{j}[/tex]
= (20√3 - 20.5212 - 68.9440)[tex]\^{i}[/tex] + ( 20 +56.3816 - 57.8509)[tex]\^{j}[/tex]
= ( -54.8242)[tex]\^{i}[/tex] + (18.5307)[tex]\^{j}[/tex]
Therefore,
Magnitude = √(-54.8242)² +(18.5307)²
=√3349.0798
= 57.8712
tanθ = ( 0.3380)
⇒θ = tan⁻¹ (0.3380)
= 18.67
≈ 19°
Hence, magnitude and direction of u + v + w is equals to 57.871 and 19°.
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A bicycle store costs $2200 per month to operate. The store pays an average of $40 per bike. The average selling price of each bicycle is $80. How many bicycles must the store sell each month to break even?
Answer:
Step-by-step explanation:
120n=2400+60n is break-even point
60n=2400
n=40 bikes need to be sold monthly to break even!!!!!!!!!!!!
Find the volume of the pyramid. Round to the nearest hundredth. The base has 5 sides The base is 110mm squared each side is 8 mm. Also the height is 11mm. Pleaseeeeeeeeeee try and do this.
The volume of the pyramid is the amount of space in it, and the volume of the pyramid is 403.33 mm³
How to determine the volume of the pyramid?The given parameters are:
Base area = 110 mm²Base length = 8 mmHeight = 11 mmThe volume of a pyramid is:
Volume = 1/3 * Base area * Height
So, we have:
Volume = 1/3 * 110 * 11
Evaluate
Volume = 403.33
Hence, the volume of the pyramid is 403.33 mm³
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The resources used in the production of goods and services are limited so society must
Society must use the resources wisely without wasting any good.
What are resources?The products and the services of daily use in the life of the human being are called the resources. It can be anything like a toothbrush, clothes, electronic products etc.
The basic necessity of human is food, water and electricity we must use them wisely because of the continuous increase in the population on th earth the resources are also decreasing. So we should not waste them unnecessarily.
Therefore Society must use the resources wisely without wasting any good.
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The sum of two numbers is 36. One number is 2 times as large as the other. What are the numbers?
Larger number:
Smaller number:
Let the first number be "x", and the 2nd number (which is twice as large as the other), be 2x.
Set the equation
2x + x = 36
Simplify. Combine like terms
(2x + x) = 36
3x = 36
Isolate the x. Divide 3 from both sides
(3x)/3 = (36)/3
x = 36/3
x = 12
The first number is 12
The second number is 2x. Replace x with 12. Multiply.
2x = 2(12) = 24
The second number is 24
Check: 12 + 24 = 36 (True)
Answer: 12 & 24
Does anyone know the length the height and the width of this object and also Based on the above values, the volume of the object ? pls someone help me
Jillian and Dawn are playing a game of miniature golf. In this game, the score on a hole is the number of putts it takes to get the ball into the hole. The winner is the player with the lowest score. After playing 18 holes, Jillian’s mean is 2.4 and Dawn’s mean is 3.3. Which explains who won the game?
Jillian won the game because her score varied less than Dawn’s score.
Jillian won the game because the person with the lower mean took fewer putts on average for each hole.
Dawn won the game because the person with the greater mean played better.
Dawn won the game because her mean absolute deviation was less than Jillian’s.
Answer:
Step-by-step explanation:
Discussion
This should be answered with the mean. The lower the mean, the lower the score it took to get the mean. So B is the answer.
IT IS B OK LETS GO YES
Select the correct answer. what is the y-intercept of f(x) = 3x 2? a. (9,0) b. (0,9) c. (0,-9) d. (9,-9)
The y-intercept of a line is the point where the line cuts the y-axis or the point where x = 0. The y-intercept of the line with the function y = 3x + 2 is (0, 2)
Intercept of a lineThe y-intercept of a line is the point where the line cuts the y-axis or the point where x = 0.
Given the equation of a line f(x) = 3x +2
If x = 0, them;
f(0) = 3(0) + 2
f(0) = 2
Hence the y-intercept of the line with the function y = 3x + 2 is (0, 2)
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Answer:
answer is (0, 9)
Step-by-step explanation:
did the test. plato.
ur welcome buddy
A carnival charges $3 for kids and $10 for adults. On Saturday, there were 500 visitors, and the total amount taken at the gate was $3,600. The equation representing the number of visitors is k + a = 500, where k represents the number kids and a represents the number of adults. The equation representing the amount of money collected is 3k + 10a = 3,600. How many kids and adults visited the carnival? Part A Before solving this problem, decide which tool you’ll use to solve it. Which method for solving systems of linear equations is best for solving this problem? Explain your answer.
Answer: number of kids(k)=200
sand the number of adults(a)=300, visited the carnival.
The tool I used is called simultaneous equation and I used elimation method as the method.
which object is 3 1/2 inches loong
Answer:
ur mom
Step-by-step explanation:
expirence and funnes
Answer:
yello
Step-by-step explanation:
the yellow one
Triangle r q s is cut by line segment t v. line segment t v goes from side q r to side r s. the length of r v is x 10, the length of v s is x, the length of r t is x 4, and the length of t q is x minus 3. which value of x would make line segment t v is parallel to line segment q s? 3 8 10 11
The value of x that would make line segment T V is parallel to line segment Q S is where x = 10. (Option C)
What is a line segment?In Mathematics, a Line Segment is a part of a line that has two endpoints.
The difference between a line segment and a line is that while the former has a starting and an endpoint, the latter does not. See the attached image.
What is the Step by Step solution to the above problem?Step 1
Note that if QS is Parallel to TV, then both sides of the triangle must be proportionally divided by TV.
That is: RV/VS = RT/TQ.
Step 2 - replace the segments by the relevant equations
(X + 4)/(X- 3) = (X+10)/(X)
Step 3 - Cross Multiply
x(x +4) = (x -3)(x +10)
Removing the parentheses, we have
X² +4X = X² +7X -30; Subtract X² from both sides and we have;
4X = 7X - 30
Step 3 - Collect like terms by cross multiplying-3X = -30 or
3X = 30
Divide both sides by three and we have:
X = 10
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Answer:
10 is the answer
A new TV costs $675 and the finance rate is 9.5%. If a down payment of $75 is made
and the TV is financed for one year, what is the monthly payment?
Answer:
The monthly payment will be $54.75
Step-by-step explanation:
Hope this helps!
This pattern follows the rule multiply by 2. what other feature do you observe? 4, 8, 16, 32, 64, 128
group of answer choices
all terms are even because even x even = even.
all terms are odd because even x even = odd.
all terms are even because odd x odd = even.
all terms are even because odd x even = even.
Answer:A. All terms are even because even x even = even.
Step-by-step explanation:Hope It helps you have a good day.
can someone explain to me the letter or sign or variable after "Y"
Answer:
It is a symbol used to denote an angle (or something else)
Step-by-step explanation:
Alpha(α) is a greek letter, it's one of the letters used to denote angles. Other such letters you'll often see in math are Beta (β), Gamma (γ), Delta (δ), these are used to denote angles. Also, pi (π), which is a mathematical constant. The letters phi (φ) and theta (θ) are also used for angles very often, especially in formulas. You'll see some of these in physics too.
It can be used as variable too, not necessarily for angles, but it's mostly used for them.
Please help me. 15 points
Answer:
360 feet
ft = 120 • 3 = 360 feet
Answer:
Your choice of 360 is correct.
Step-by-step explanation:
3 feet = 1 yard
120 times 3 =
360
Please mark Brainliest
10000x30 1000x30 100x30 10x 30
Answer:
300000
30000
3000
300
Step-by-step explanation:
Use the zero's trick for 10's.
The product of the given multiplications are 300000, 30000, 3000 and 300
What is multiplication?Multiplication is when you take one number and add it together a number of times.
Example: 5 multiplied by 4 = 5 + 5 + 5 + 5 = 20. We took the number 5 and added it together 4 times. This is why multiplication is sometimes called "times".
Given that are four multiplication, 10000x30, 1000x30, 100x30 and 10x 30,
We know,
Multiplication by multiples of 10, 100, 1000, 10000:
We multiply the multiplicand by the non-zero digit of the multiplier. Then we add the same number of zero to the extreme right of the product as the multiplier has.
For example :-
26 × 10000 = 260000
524 × 10000 = 5240000
Therefore,
10000 x 30 = 300000
1000 x 30 = 30000
100 x 30 = 3000
10 x 30 = 300
Hence, the product of the given multiplications are 300000, 30000, 3000 and 300
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Evaluate. (3/8+3/4)−(1/3+1/6)
Answer:
0.625
Step-by-step explanation:
You must first calculcate what is in between the parentheses. Firstly, you add 3/8 + 3/4 (as shown in the beginning) to get 1.125. Second, you add 1/3 plus 1/6 (shown in the second part of the equation) to get 0.5. Lastly, you're left with 0.625 after subtracting 0.5 from 1.125.
Which expression is equivalent to the area of square A, in square inches?
Answer:
the required expression equivalent to the area of the square A in inches is (10² + 24²).
Step-by-step explanation:
Geri built a pencil box in the shape of a right rectangular prism. the amount of space inside of the box is 176 cubic inches. what is the height of geri’s pencil box? a rectangular prism with a length of 8 inches, width of 11 inches, and height of question mark. 2 inches 4 inches 8 inches 9 inches
The height of the pencil box is 2 inches
How to determine the height of the pencil box?The given parameters are:
Volume = 176
Length = 8
Width = 11
The height of the pencil box is calculated using
Height = Volume/(Length * Width)
So, we have:
Height = 176/(8 * 11)
Evaluate
Height = 2
Hence, the height of the pencil box is 2 inches
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Answer:
2 Inches
Step-by-step explanation:
Good Luck
please help i dont get it... (average rate of change)
10.
The graph shows the price, in dollars, of a new digital toy for different levels of supply.
(image provided)
What is the average rate of change?
Answer:
-3
Step-by-step explanation:
Formula for average rate of change :
A(x) = f(a) - f(b) / a - bSolving :
A(x) = 115 - 85 / 5 - 15A(x) = 30/-10A(x) = -3HII GIVING BRAINLIESST TO WHO EVER EXPLAINS AND HELPS ME THANK U
Step-by-step explanation:
we don't need to actually do the detailed area calculation.
all we need to consider is that an area, ANY area (for triangles, rectangles,...) is always the product or the sum of products of 2 dimensions (like side lengths).
the scaling factor of similar objects (incl. triangles of course) applies to each individual line, length, height or side.
so, when calculating the area of a similar figure, the scaling factor has to be multiplied in twice (once for every multiplied dimension) - making it the square of the normal single-dimensional scaling factor.
so, in other words, the area scaling factor is the square of the side scaling factor.
coming from A1 to A2 the area scaling factor is
80/45 = 16/9
the side scaling factor is then
sqrt(16/9) = 4/3
we have to multiply a side of A1 by 4/3 to get the corresponding side of A2.
and so, the ratio of A1 side lengths to A2 side lengths is
3:4
(the inverse, upside-down form of the scaling factor as a consequence of the question "how do I convert the 3 length units of A1 into 4 length units of A2 ?" by multiplying the 3 units by the scaling factor 4/3).
Which function has a domain of all real numbers?
Answer:
D
Step-by-step explanation:
[tex]( {2 x})^{ \frac{1}{3} } - 7 = \sqrt[3]{2x} - 7[/tex]
A rectangle and an equilateral triangle have the same perimeter
The perimeter of the rectangle is 2x+2(3x-1) inches
The perimeter of the equilateral triangle is 3(x+1) inches
Solve the value of x and the perimeter of each figure
Answer:
A rectangle and an equilateral triangle have the same perimeter
The perimeter of the rectangle is 2x+2(3x-1) inches
The perimeter of the equilateral triangle is 3(x+1) inches
Solve the value of x and the perimeter of each figure
can you guys help me with this
why this thing says im rude
im rlly frickin lost
pls help
Answer:
so far he has saved 27 dollars however he needs 33 more dollars
Step-by-step explanation:
okay so if it says "____ of x" you normally have to multiply (of is a hint)
so first lets see how much he saved
0.45(60) = 27
he saved 27 dollars so far. to find how much more he has to save, you have to do the amount he needs minus the amount he already has
sooo
60 - 27 = 33
uhhh im not sure what the graph table thing on the right is, but i hope this helps a little
edit: ohhhhh so in the table all you have to do is fill in the information. im sure u can do it, but if you still dont know how to just reply here and ill help!
Can anyone tell me the formula or way to solve this problem
[tex]\text{It is an equilateral triangle, so all angles are equal to}~ 60^{\circ}\\\\~~~~~~m\angle 2 = x+72\\\\\implies 60 = x+72\\\\\implies x = 60-72\\\\\implies x = -12[/tex]
What is the distance between point B and point C? Point C is 8.6 units.
A) 5 units
B) 2.1 units
C) 8.6 units
D) 4.1 units
Answer:
4.1 units
Step-by-step explanation:
A( -2,3)
B( 2,5)
C( 8.6)
The circumference of a circle is 18π, what is the radius?
Answer: 9
Explanation: Because pi is included in the answer, you won't be multiplying pi with it.
The only number that equals to 18 is 9.
By using the formula for circumference is: 2πr
2 x 9 = 18
Add pi, 18π.
Is it more reasonable to say that a pen weighs 2 ounces, 2 pounds, or 2 tons?
Answer:
2 ounces
Step-by-step explanation:
2 pounds and 2 tons are a lot of weight to assume the weight of a pen.
Someone pls do this for me I give Brainly
Answer:
Kindly read through
Step-by-step explanation:
All have been solved step by step