I need help with this practice problem solving This is trigIt has an additional pic that I will send you, it is the graph that goes along with this, use the graph to complete***
Answers
First, let's find the value of f(x) along the midline x = 0:
\(\begin{gathered} f(0)=\sin 0+2 \\ f(0)=2 \end{gathered}\)Then, the point at the midline is (0,2)
The minimum point nearest the midline is:
\(\begin{gathered} f(-\frac{\pi}{2})=_{}f(-1.57) \\ f(-\frac{\pi}{2})=\sin (-\frac{\pi}{2})+2 \\ f(-\frac{\pi}{2})=-1+2 \\ f(-\frac{\pi}{2})=1 \end{gathered}\)Analogously, the maximum point nearest the midline is:
\(\begin{gathered} f(\frac{\pi}{2})=_{}f(1.57) \\ f(\frac{\pi}{2})=\sin (\frac{\pi}{2})+2 \\ f(\frac{\pi}{2})=1+2 \\ f(\frac{\pi}{2})=3 \end{gathered}\)Then the graph is given by:
Related Questions
Is the line through points P(0, 7) and Q(2, 10) parallel to the line through points R(-2, 5) and S(0, 8)? Explain.
Yes, because the have the same slope of 2/3.
Yes because they have the same slope of 3/2.
No because the lines will eventually cross.
No because their slopes are not the same.
Answers
Answer:
Yes because they have the same slope of 3/2
Step-by-step explanation:
The slope of PQ is ...
(10 -7)/(2 -0) = 3/2
The slope of RS is ...
(8 -5)/(0 -(-2)) = 3/2
The slopes are the same (3/2), so the lines are parallel.
Good morning help me out thank u
Answers
Answer:
25
Step-by-step explanation:
Using the Pythagorean theorem, we need to calculate
15^2+20^2=x^2, which simplifies to:
225+400=x^2,
625=x^2
and since 25^2 equals 625, the answer is AC=25
Easter game idea's please!
my neighborhood always throws an Easter egg hunt but this year we wanted to spice things up and add some cool game with cool prizes and snacks! any ideas?? (dont worry we wear mask at the small neighborhood party's we have)
Answers
The orbit of a planet around the sun is not circular; it is an ellipse with
the Sun at one focus. The aphelion of a planet is the greatest distance
from the sun and the perihelion is its shortest distance. The mean
distance of a planet from the sun is the length of the semimajor axis of
the elliptical orbit. The perihelion of Pluto is 4551 million miles, and the
distance from the center of its elliptical orbit to the sun is 897.5 million
miles. Find the aphelion of Pluto. What is the mean distance of Pluto
from the Sun? Write an equation to represent the orbit of Pluto around
the Sun.
Answers
The equation to represent the orbit of Pluto around the Sun will be x²/4659.42 + y²/4566.31 = 1.
How to compute the equation?The distance from the center of the elliptical orbit to the sun is 897.5 million miles. The aphelion will be:
= 5448.5 + 897.5
= 6346 million miles
The equation of ellipse will be:
x²/a² + y²/b² = 1
x²/4659.42 + y²/4566.31 = 1
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If Margo walks 1/4 mile in 1/12 of an hour, what is her unit rate
Answers
To find the unit rate, we need to determine how much distance Margo covers in one unit of time. We can do this by dividing the distance by the time.
Distance = 1/4 mile
Time = 1/12 hour
Unit rate = Distance ÷ Time
Unit rate = (1/4 mile) ÷ (1/12 hour)
We can simplify this division by multiplying both the numerator and denominator by the least common multiple of 4 and 12, which is 12.
Unit rate = (1/4 mile) ÷ (1/12 hour) x (12/12)
Unit rate = (3/4 mile) ÷ 1 hour
Unit rate = 3/4 mile per hour
Therefore, Margo's unit rate is 3/4 mile per hour. This means that she can cover a distance of 3/4 mile in one hour of walking.
Answer:
3mph
Step-by-step explanation:
1/12 of an hour will be 5 min. In 5 min she can walk 1/4 mile then in one hour she can walk 1/4 x 12. This means her rate will be 3 miles per hour.
60/12 = 5
12 x 1/4 = 12/4 = 3
Amita’s kitchen is rectangular with an area of 3 3/4 square meters. The width of the kitchen is 1 1/2 meters. What is the length, in meters, of Amita’s kitchen?
Answers
The kitchen is described as rectangular in shape, with a length, width and area in square meters. The area is given as 3 3/4 square meters, the width is 1 1/2 meters, then to calculate the length, you'll have;
\(\begin{gathered} A=l\times w \\ 3\frac{3}{4}=l\times1\frac{1}{2} \\ \frac{15}{4}=l\times\frac{3}{2} \\ By\text{ cross multiplying you now have} \\ \frac{15\times2}{4\times3}=l \\ \frac{30}{12}=l \\ \frac{5}{2}=l \\ \therefore l=2\frac{1}{2} \end{gathered}\)The length of the kitchen is 2 1/2 meters.
A shopkeeper marks the price of an article
30% above its cost price and gives a customer discount of
15%. A customer bought that article including 13% VAT at
Rs. 1872.975. Find the marked price of the article and the
gain of shopkeeper
Answers
Answer:
The gain percent made by shopkeeper is 10.5%.
Step-by-step explanation:
Given:
Price at which goods are marked = 30%
Discount on the marked price = 15%
To Find:
Gain percentage of the shopkeeper
Solution:
Let the cost price of the product be = 100
Therefore,
MP = 30 + 100 = 130
Since discount is 15%. thus -
Discount = 15/100 x 130
= 19.5
Selling price = MP - Discount
SP = 130 - 19.5
= 110.5
Profit = SP - CP
= 110.5 - 100
= 10.5
Calculating the gain%
Gain% = 10.5/100 x 100
= 10.5
Answer: The gain percent made by shopkeeper is 10.5%.
9
5 points
Beth is 6 years younger than twice her brother's age. How old is Beth?
Expression 6r-2 describes this relationship,
True or false
Answers
Answer:
true
Step-by-step explanation:
A recipe calls for 2 cup of brown sugar for every 6 cups of white sugar. How many cups of brown sugar are required for every 12 cups of white sugar?
(PLEASE HELP!!)
Answers
There are 4 cups of brown sugar are required for every 12 cups of white sugar.
A recipe calls for 2 cups of brown sugar for every 6 cups of white sugar. We can set up a proportion to find the relationship between the two quantities:
2 cups brown sugar / 6 cups white sugar = x cups brown sugar / 12 cups white sugar
To find the number of cups of brown sugar required for 12 cups of white sugar, we can cross-multiply and then solve for x:
2 cups brown sugar × 12 cups white sugar = 6 cups white sugar × x cups brown sugar
24 cups brown sugar = 6x cups brown sugar
x = 24/6
x = 4
So, 4 cups of brown sugar are required for every 12 cups of white sugar.
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If f(x)=-5, find the value of x in the function f(x) = 6x + 1
Answers
Answer:
-29
Step-by-step explanation:
plug in -5 in place of the x to get your answer.
A fair die is rolled six times. Calculate the probability of obtaining exactly two 3s. (Round your answer to four decimal places.)
Show work in steps so I can understand how to set up the problem and solve it better. Been stuck on this for awhile! Thanks
Answers
The Total Probability of getting exactly two 3s in two throws is 1/36
What is Probability?
A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.
Solution:
Probability of Obtaining 3 in the first throw = 1/6
Since, the number of possible outcome is 11 and total outcomes are 6
Similarly the probability of getting 3 in the second throw is 1/6
Therefore, total probability = 1/6 * 1/6 = 1/36
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What is the solution to the equation below?
Answers
Answer:
x=500 hope that helps at all
The 3 in 3000 is how many times greater than the 3 in 30?
Answers
Answer:
100
Step-by-step explanation:
Evaluate 15 + |-3| - 4
Answers
Those lines on both sides of the number means "absolute value." Those lines tell us that the number is positive no matter what. So:
15 + |-3| - 4 → 15 + 3 - 4
Remember to follow PEMDAS when solving.
(15 + 3) - 4
18 - 4
14
Therefore, the answer is 14.
Best of Luck!
Answer: 14
Step-by-step explanation: The vertical bars around the -3 mean that we take the absolute value of that number which is the positive version of that number.
So the absolute value of -3 would be 3.
So we have 15 + (3) - 4 which simplifies to 18 - 4 or 14.
Notice that I used parentheses when first getting rid of the absolute value signs. I think that this method will help you avoid confusion when simplifying absolute values.
It's a good habit to get into for future problems.
solve the following inequality for z. write your answer in simplest form. -9-(2z-7)>-2z-6-5z
Answers
Answer:
z > -4/5
Step-by-step explanation:
-9 - (2z - 7) > -2z - 6 - 5z
Get rid of the parenthesis
*There is the number one in front of the parenthesis.-9 - 2z + 7 > -2z - 6 - 5z
Combine like terms:
-2 - 2z > -7z - 6
+2 > +2
Add 2 to both sides.
-2z > -7z - 4
+7z > +7z
Add 7 to both sides.
5z > -4
Divide both sides by 5 to get z.
z > -4/5
The sign stays the same unless you divide by a negative number---------------------------------
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Frank got a gift for his sister and put it in a shoebox.
Note: Figure is not drawn to scale.
Now, he wants to wrap it with wrapping paper. If the length of the shoebox measures 12 in, the width measures 6 in, and the height measures 5 in, how much wrapping paper does he need to cover the shoebox?
A.
648 sq in
B.
162 sq in
C.
486 sq in
D.
324 sq in
Answers
We need TSA
2(LB+BH+LH)2(12×6+5×6+12×5)2(72+30+60)2(162)324in²Answer:
D. 324 in²
Step-by-step explanation:
Given :
Length of shoebox = 12 in
width = 6 in
height = 5 in
The Total surface area of cuboid = 2(lw + lh + wh )
=> 2 (12×5 + 12×6 + 5×6 )
=> 2( 60 + 72 + 30 )
=> 2( 162)
=> 324 in²
how do I converting fractions
Answers
In order to convert a fraction to a decimal number, we just need to divide the numerator by the denominator.
For example, for the fraction 1/4, we need to divide 1 by 4, so the result would be 0.25.
In the fraction 3/10, dividing 3 by 10, we have the result 0.3.
In the fraction 12/8, dividing 12 by 8, we have the result 1.5.
Some fractions don't correspond to a finite decimal number.
For example, the fraction 1/3 is equivalent to 0.333..., which has an infinite number of decimal places.
Joe has saved $30. He earns $7.50 per hour at his job. He plans to buy a plane ticket to Florida for $300. Enter the minimum number of hours Jon must work in order to buy the plane ticket to Florida.
Answers
Answer:
30 hours
Step-by-step explanation:
300 - 30
270/7.5
Two numbers are in the ratio 3/4. If 4 is subtracted from each they are in the ratio of 5/7. Find the numbers!
Answers
Answer:
The two numbers are 24 and 32
Step-by-step explanation:
We can use the variable x
3x : 4x, would be a ratio of 3/4
now subtract 4 from both
3x - 4 : 4x - 4 = 5/7
3x-4 / 4x-4 = 5/7
cross multiplication
7(3x - 4) = 5(4x - 4)
21x - 28 = 20x - 20
x = 8
Two numbers are;
3x, 4x
3(8), 4(8)
24, 32
24/32 = 3/4
20/28 = 5/7
You pay $5500 for a municipal bond. When it matures after 20 years, you receive 11,900$. What % is your total return?
Answers
When Alana was born, her grandma put $1000 into a money market account that earns 9% interest each year. How much will be in the account when Alana is 21?
Answers
The amount that would be in the account when Alana is 21 is $2890
How to determine the valueWe have to know the formula for simple interest.
This is expressed as;
S.I = PRT/100
Given that the parameters of the formula are enumerated as;
SI is the simple interestP is the principal amountR is the interest rateT is the time takenFrom the information given, substitute the values, we have;
SI = 1000 × 9 × 21/100
Multiply the values,
Then, divide by the denominator, we have;
SI = $1890
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3/4 a page per 2 minutes, how much of a page in 1 minutes
Answers
Answer:
0.75
Step-by-step explanation:
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
2 minutes = 3/4 a page
1 minute = 3/8 a page
The number of pages in 1 minute is 3/8 a page.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
3/4 a page per 2 minutes.
This can be written as,
3/4 pages = 2 minutes
Dividing both sides by 2.
3/(4x2) pages = 1 minute
1 minute = 3/8 a page
Thus,
2 minutes = 3/4 a page
1 minute = 3/8 a page
The number of pages in 1 minute is 3/8 a page.
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10. (30-i)-(18+6i)+30i
Answers
Answer:
\(12+23i\)
Step-by-step explanation:
\((30−i)−(18+6i)+30i\)
\(30−i−18−6i+30i\)
\(12−i−6i+30i\)
\(12−7i+30i\)
\(12+23i\)
Hope it is helpful....A line passes through the point (- 1, 2) and has a slope of - 7 Write an equation in slope-intercept form for this line.
Answers
Answer:
y=-7x-5
Step-by-step explanation:
y-y1=m(x-x1)
y-2=-7(x-(-1))
y-2=-7(x+1)
y-2=-7x-7
y=-7x-7+2
y=-7x-5
Jade’s cat weights 8.3 pounds. Her dog weighs 5 times as much as her cat.
Use the bar diagram to find the weight of Jade’s dog.
Answers
Answer:
should be 41.5 lbs
Step-by-step explanation:
multiply 8.3 by 5
8.3×5= 41.5
List the transformations of the function
j(x) = 3(-7(x+2))-4
Answers
Answer:
transformations of function 3(-7(x+2))-4
vertical stretchhorizontal compressiontranslates lefttranslates downreflection across y-axisA school of 800 students has 60% girls.
Of them, 50% go to music classes. 10% of those music students are into volleyball. If the team is
32 Girls, how many are not into music?
Answers
Answer:
8
Step-by-step explanation:
I will just calculate the population of every detail for ease.
800 total students.
800 * 60% or 0.6 = 480
480 girls.
480 * 50% or 0.5 = 240
240 music class girls.
240 * 10% or 0.1 = 24
24 music class girls.
so 24 music class girls that are into volleyball and 32 team girls.
32-24 = 8
8 of the team girls are not into music.
Jennifer has a total of $50 to spend on a new outfit. She bought a sweater for $20. Which shows the part of her total Jennifer spent on the sweater?
A. 1/2
B. 0.4
C. 30%
D. 2/10
Answers
Answer: B 0.4
Step-by-step explanation:
50-20=30
0.4 is 40%
40% of 50 is 20
Nathaniel had $40 to spend on 9 beakers for his science class. After buying them, Nathaniel had $4 left. How much did each of the beakers cost?
Answers
Answer:
each baker cost $4
Step-by-step explanation:
4 times 9 is 36, and that leaves 4
what if 1/3 years = -------- month
Answers
Answer: 1/3 of a year equals 4 months
Step-by-step explanation: This is because there are 12 months in a year and 1/3 years is 12/3, which is 4
Hope you are having a nice day and please tell me If got anything wrong
Answer: 4 months
Step-by-step explanation:I believe it would be four months because 12 months in a year divided by 1/3 would be 4 months. Hope this helps!