Analytically show that the equation below represents trigonometric identity statements for questions 1-4.
Answers
Related Questions
Which of the following is a disadvantage of renewable energy?
A. It creates large amounts of pollution
B. It could be costly to initially switch to.
C. It will not produce enough power to sustain us.
D. It will not run out.
Answers
B. It could be costly to initially switch to.
A disadvantage of renewable energy would be It could be costly to initially switch to. Hence option B is true.
Used the definition of renewable energy that states,
Renewable energy is energy that comes from a source that won't run out. They are natural and self-replenishing and usually have a low- or zero-carbon footprint.
Now, Renewable energy sources have numerous advantages, such as being environmentally friendly and sustainable, one of the disadvantages is the initial high cost of transitioning from traditional energy sources to renewable ones.
Since renewable energy sources do not create large amounts of pollution.
Additionally, renewable energy has the potential to produce ample power to meet our needs.
Finally, the fact that renewable energy will not run out is actually an advantage, not a disadvantage.
Hence, Option B is true.
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Find y=f(x) if f '(x)=6x-2, f'0)=3, f(0)=7.
=
Answers
Answer:
f(7)=40
f(3)=16
Step-by-step explanation:
f(0)=6(7)-2
y=42-2
y=40
f(0)=6(3)-2
y=18-2
y=16
16. Solve for "X".
a. 6
b. 100
c. 36
Answers
Answer:
a
Step-by-step explanation:
6+10+8=24=iscolecles triangle
Answer:
A
Step-by-step explanation:
cosθ = 8/10
θ = arcCos(8/10)
θ =36.87
cot(36.87) = 8/x
1.33 = 8/x
x1.33 = 8
x = 6
Therefore , A is the correct Answer
can you please help me i give you extra pointss
Answers
Answer:
(2,-2), (4,-2), (1,-4), (6,-4)
I got the first part correct but the rest just confuses me
Answers
Step-by-step:
Plug in 8 for X and -4 for Y
-4=-1/4(8)
Multiply 8 into -1/4
-4=-8/4
Then factor
-4=-2
Add 2 to both side
-2=b
A 16 oz. sports drink costs 2.39 what is the unit price rounded to the nearest cent
Answers
Answer:
$0.15 per ounce
Step-by-step explanation:
Unit price = cost / volume of drink
$2.39 / 16 oz = $0.15 per ounce
Hope this helps
pls hep me look at the photo
Answers
Answer:
B
Step-by-step explanation:
It matches 3 of the 4 rows.
1.
Joshua and Helen are painting sections of their house this weekend. It will take
3 7/9 gallons to paint the room upstairs. The downstairs room will need 5 1/3 gallons
of paint. If they buy 10 gallons of paint, how much will be left over?
Answers
Answer:
8/9 will be left over
Step-by-step explanation:
3 7/9 + 5 1/3= 9 1/9
Now subtract the amount of paint needed by how much paint there is:
10- 9 1/9= 8/9
Therefore, 8/9 will be left over
Hope this helps
This pattern follows the rule add 7, then subtract 3. What are the next two numbers?
19, 23, 27, ________, ________
Group of answer choices
31, 35
31, 38
34, 35
Answers
31 and 35.
Sure hope this helps you
Find the area of the circle. Use 3.14 for the value of x Round your answer to the nearest tenth. Don’t forget to find the radius first before finding the area.
81.7 in
98.5 in
16 in
326.8 in
Answers
Answer:
r = d/2
r = 10.2/2 = 5.1
Area = pi * r^2
Area = 3.14 * 5.1^2
Area = 81.67 in^2
To the nearest 1/10, this is 81.7 in^2
There are 276 students.
158 of the students are females.
82 of the males enrolled in magic college.
102 of the females enrolled in magic college.
(a) Create the two-way table based on the given data.
(b) What percentage of students were males that went to magic college?
(c) What percentage of females went to magic college?
Answers
Step-by-step explanation:
Number of males is
276 - 158 = 118Number of males not enrolled
118 - 82 = 36Number of females not enrolled
158 - 102 = 56(a)
The table based on data is
Enrolled Not enrolled Total
Male 82 36 118
Female 102 56 158
Total 184 92 276
(b)
Percentage of students were males that went to magic college
enrolled male / total students = (use table above)82/276*100% = 29.71% (rounded)(c)
Percentage of females went to magic college
enrolled female / total female = (use table above)102/158*100% = 64.56% (rounded)Answer:
a) see below
b) 29.7% (1 d.p.)
c) 64.6% (1 d.p.)
Step-by-step explanation:
Part (a)
Using the given information to create a two-way table:
[tex]\begin{array}{|l|c|c|c|}\cline{1-4} & \sf Female & \sf Male & \sf Totals\\\cline{1-4} \sf Enrolled & 102 & 82 & \\\cline{1-4} \sf Not\:enrolled & & &\\\cline{1-4} \sf Totals & 158 & & 278\\\cline{1-4}\end{array}[/tex]
Calculations to fill the table:
Total enrolled = 102 + 82 = 184Female not enrolled = 158 - 102 = 56Male total = 278 - 158 = 120Male not enrolled = 120 - 82 = 38Total not enrolled = 56 + 38 = 94Therefore:
[tex]\begin{array}{|l|c|c|c|}\cline{1-4} & \sf Female & \sf Male & \sf Totals\\\cline{1-4} \sf Enrolled & 102 & 82 & 184 \\\cline{1-4} \sf Not\:enrolled & 56 & 38& 94 \\\cline{1-4} \sf Totals & 158 &120 & 278\\\cline{1-4}\end{array}[/tex]
Part (b)
[tex]\sf Percentage=\left(\dfrac{Value}{Total\:value}\right) \times 100[/tex]
Number of students who are male and enrolled = 82
Total number of students = 278
[tex]\begin{aligned} \implies \sf Percentage\:students\:enrolled & = \sf\left(\dfrac{82}{278}\right) \times 100\\& = \sf 29.7\%\:\:(1\:d.p.) \end{aligned}[/tex]
Part (c)
Total number of females enrolled = 102
Total number of females = 158
[tex]\begin{aligned} \implies \sf Percentage\:students\:enrolled & = \sf\left(\dfrac{102}{158}\right) \times 100\\& = \sf 64.6\%\:\:(1\:d.p.) \end{aligned}[/tex]
how to solve fourier series
Answers
2.Do that for n=0, n=1, etc to calculate each coefficient.
3.And after we calculate all coefficients, we put them into the series formula above
Ai Mi just started a running plan where she runs 12 miles the first week and then increases the number of miles she runs by 5% each week. If she keeps up this plan for 12 weeks, how many total miles would Ai Mi have run, to the nearest whole number?
Answers
Answer:
267 miles
please vote me brainliest. Thank you.
At the end of 12 weeks, Ai Mi has run 22 miles.
As mentioned in the question, Ai Mi just started a running plan where she runs 12 miles the first week and then increases the number of miles she runs by 5% each week.
What is an exponential function?The function which is in format f(x) =a^x where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
here,
Let the total run be x, for 12 weeks
According to the question,
x = 12×(1 + 5%/100)¹²
x = 12(1.05)¹²
x = 21.55
x ≈ 22 miles
Thus, At the end of 12 weeks, Ai Mi has run 22 miles.
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C. Brian saves some money from his allowance to buy Mother a gift. His daily allowance is P50.00
MONEY SAVED BY BRIAN FROM HIS ALLOWANCE
Friday Php 18.90
Thursday Php 23.15
Wednesday Php 11.80
Tuesday Php 16.35
Monday Php 9.20
1. On what day did Brian save more out of his allowance? How much was his expenses that day?
2. On what day did he save the least? How much did he spend that day?
3. How much is Brian's total savings for one week? If he saved the same amount of money for the succeeding weeks, how much savings does he have in a month?
4. How much more money does he need to save to buy the gift bag for his mother which costs P693.80?
Answers
Answer:
1.thursday
his expenses was p26.85
2.monday he spent p40.8
3.18.90+23.15+11.80+16.35+9.20=approximately p55.6×30 days=p1,668
4.693.80-1,668
so he savings is completely enough
63. 26 Which expressions are equal to 23 ? 123 126 26 . 33 23 33
Answers
Hey there!
(6^3 * 2^6) / 2^3
= (6 * 6 * 6 * 2 * 2 * 2 * 2 * 2 * 2) / 2 * 2 * 2
= (36 * 6 * 4 * 4 * 4) / 4 * 2
= (216 * 16 * 4) / 8
= 3,456 * 4 / 8
= 13,824 / 8
= 1,728
Looking for something that gives you the result of: 1,728
Option A.
12^3
= 12 * 12 * 12
= 144 * 12
= 1,728
Option A. is. possible answer
Option B.
6^3
= 6 * 6 * 6
= 36 * 6
= 216
216 ≠ 1,728
Option B. is incorrect
Option C.
12^6
= 12 * 12 * 12 * 12 * 12 * 12
= 144 * 144 * 144
= 20,736 * 144
= 2,985,984
2,985,984 ≠ 1,728
Option C. is also incorrect
Option D.
2^6 * 2^3
= 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2
= 4 * 4 * 4 * 4 * 2
= 16 * 16 * 2
= 256 * 2
= 512
512 ≠ 1,728
Option D. is also incorrect
Option E.
2^3 * 3^3
= 2 * 2 * 2 * 3 * 3 * 3
= 4 * 2 * 9 * 3
= 8 * 27
= 216
216 ≠ 1,728
Option E. is also incorrect.
Therefore, the answer should be:
Option A. 12^3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Write the interval(s) over which the function is continuous:
Answers
Answer:
See below ~
Step-by-step explanation:
Intervals over which the function is continuous :
Left line :
Left hand limit (LHL) = -∞Right hand limit (RHL) = -2Interval = (-∞, -2)===========================================================
Central line
LHL = -2RHL = 1Interval is : [-2, 1)=============================================================
Right line :
LHL = 1RHL = ∞Interval is : (1, ∞)1) A bread recipe contains 60g of butter, 40g of salt and 100g of flour.
a) What percentage of the ingredients are salt and flour?
Answers
Answer:
Ingredient Percentage=Ingredient Weight/Total Flour x 100%
Step-by-step explanation:
For example, if a formula calls for 60 pounds of water and 100 pounds of flour, the baker's percent would be 60% water. If there are two types of flour being used, the combination of the weight of both flours will be 100%.
The function, f(x), is plotted below.
Evaluate the following limits:
N
lim f(x)
-1
lim f(x) =
x -1
What is the value of the function at x = 1?
f(1) =
Answers
the answer is -2
Yw :D
Mieko bought 2 gallons of paint. She used 1/4 of the paint in her bedroom, 3 quarts in the hallway, and the rest of the paint in the living room. How many quarts of paint did she use in the living room?
A: 3 Quarts
B. 8 Quarts
C. 10 Quarts
D. 12 Quarts
Answers
=======================================================
Explanation:
1 gallon = 4 quarts
2 gallons = 8 quarts
1/4 of 8 quarts = 2 quarts
She used 2 quarts for her bedroom and 3 for the hallway. Therefore, she used 2+3 = 5 quarts total.
That leaves 8 - 5 = 3 quarts for the living room.
Answer:
A: 3 Quarts
Step-by-step explanation:
1 gallon = 4 quarts
1/4 of 2 gallons = 1/4 × 2
= 1/2 gallon
⇒ 1/2 gallon = 2 quarts
Therefore, Mieko used 2 quarts of paint to paint her bedroom.
If she used 3 quarts to paint the hallway, then
⇒ total number of quarts used = 2 + 3 = 5 quarts
As she bought a total of 2 gallons of paint:
⇒ 2 gallons = 2 × 4 = 8 quarts
Therefore the remaining unused paint (to paint the living room) is:
⇒ total paint - used paid = 8 quarts - 5 quarts
= 3 quarts
what will happen when you solve the problem?( Design brief and investigation).
Answers
When a design brief & investigation is used for problem solving, then, the problem will be solved in structured manner.
What is a design brief and investigation?
This is a brief that provides a structured way to apply knowledge and skills to solve problems while the investigation tells how to search for the knowledge that we need.
In conclusion, the problem will be solved in structured manner if we use a design brief & investigation for solving a problem.
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Express the d= rt in terms of the time, t. Use the formula to find the time when the distance is 40 and the rate is 8.
Answers
Answer:
5
Step-by-step explanation:
Divide the expression by r on both times; d/r=rt/r. You'll remain with t=d/r.
then substitute t=40/8 which equals to 5.
A certain circuit is properly fused for a 5-horsepower motor. If the motor is to be replaced by several 5/8 horsepower motors, how many motors will the fuses be able to carry?
Answers
Answer:
8 motors
Step-by-step explanation:
The fuses can carry one 5 HP motor.
This replaced by n number of 5/8HP motors.
That mean the new values of horsepower is equal to the previous value.
5 = n * 5/81 = n/8n = 8 motorsPLS ANSWER BOTH QUESTIONS
EXPLANATION NOT NEEDED
MAKE SURE IT IS CORRECT
WILL MARK BRAINLIEST
Answers
Answer:
what is actually the question please
For every 5 students it would cost:
36.25 for admission to the museum and
31.50 for lunch
what is the total cost in dollars for admission and lunch for each student?
what is the total cost in dollars for admission and lunch for all 30 students?
1 student:?
30 students:?
Answers
Answer: 30 students: $346.5
1 student: $11.55
Step-by-step explanation:
The total cost in dollars for admission and lunch for 30 students is $406.6 and for each student is $13.55.
What is unitary method?
The unitary method is a technique for solving a problem by first finding the value of single unit, and then finding the value the necessary value by multiplying the single unit.
According to the given question
Cost price for five students for taking admission to the museum and lunch is 36.25 and 31.50 respectively.
cost price for one student for taking admission in museum = [tex]\frac{36.25}{5} = $7.25[/tex]
cost price for one student lunch = [tex]\frac{31.50}{5} = 6.3[/tex]
Therefore,
The total cost for each student for the admission and lunch = 7.25+6.3 =
$13.55
And, the total cost for 30 students for admission and lunch = 30×$13.55 =$406.5
Hence, the total cost for admission to museum and lunch for each student is $13.55 and for 30 students is $406.6.
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A 4-Pack of coffee drinks is $6.90.what is the cost per bottle.
Answers
Answer:
$ 1.725
Step-by-step explanation:
4 Pack of coffee = $ 6.90
1 Pack of coffee = $ 6.90 / 4 = $ 1.725
( The word per means " 1 " )
Answer:
$1.73
Step-by-step explanation:
To get the price of one bottle, set up a proportion.
let x = the price of one bottle
the numerator will be the price of the bottles and the denominator will be the number of bottles.
6.90 / 4 = x / 1
cross multiply: 6.90 = 4x
solve for x by dividing by 4 on both sides
6.90/4 = 4x / 4
x = 1.725, round up to $1.73
what is 3 x 5 what does it equal
Answers
Answer:
3 x 5= 15
Step-by-step explanation:
If you count by 5's like 5, 10, 15, 20
And if you count by 3's: 3, 6, 9, 12, 15
then find the least common multiple and it is 15
Please mark me as the Branlyest ;) Thanks
Answer:
3 x 5 = 15
Step-by-step explanation:
3 + 3 + 3 + 3 + 3 = 15
I hope this helps!
Translate the sentence into an equation.
Nine less then the product of 5 and a number equals 7.
Use the variable x for the unknown number.
Answers
Answer:
9 - 5x = 7
Step-by-step explanation:
Nine (9) less (-) then the product (*) of 5*x, equals (=) to 7
9 - 5x = 7
You are designing a large rectangular fish tank for your tropical fish. The length will be 1 yard 3 inches, the width will be 1.5 feet, and the height will be 20 inches.
Part A
Find the volume of the fish tank in cubic inches.
The volume is
cubic inches.
Part B
Your math teacher tells you that your fish tank will have a capacity of about 976 cups. You have a total of 30 tropical fish. For them to flourish in a fish tank, there needs to be an average of 2 gallons of water for each fish.
Convert 976 cups to gallons.
976 cups equals
gallons.
Answers
Answer:
A. 14040 cubic inches
B. 61 gallons
Step-by-step explanation:
The volume of a cuboid is given by the formula ...
V = LWH
__
A.One yard is 36 inches, so 1 yard 3 inches is 36 +3 = 39 inches.
One foot is 12 inches, so 1.5 ft = 1.5×12 = 18 inches.
The volume of the fish tank is ...
V = (39 in)(18 in)(20 in) = 14,040 in³
The volume is 14,040 cubic inches.
__
B.One gallon is 16 cups, so 976 cups is 976/16 = 61 gallons.
976 cups equals 61 gallons.
_____
Additional comment
One gallon is 231 cubic inches, so the volume of the tank is actually about 972 cups, or 60.8 gallons.
What is the distance between parallel lines y=x+3 and y=x+1, rounded to the nearest hundredth?\
Answers
The distance between two parallel lines y=x+3 and y=x+1 will be equal to
[tex]d=\dfrac{1}{\sqrt{2}}[/tex]
What is parallel lines?The lines which do not intersect to each other and only intersect at infinity are called parallel lines.
Here we have two lines:-
y=x+3
y=x+1
The formula for the distance between two parallel lines is given by:-
[tex]d=\dfrac{|C_1-C_2|}{\sqrt{a^2+b^2}}[/tex]
We have C1=3 C2=1 a=1 b=1 by putting the value in the formula we will get:-
[tex]d=\dfrac{3-2}{\sqrt{1^2+1^2}}=\dfrac{1}{\sqrt{2}}[/tex]
Hence distance between two parallel lines y=x+3 and y=x+1 will be equal to [tex]d=\dfrac{1}{\sqrt{2}}[/tex]
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The width of a rectangle is 4 cm and its perimeter is 26 cm. What is the perimeter of a square has the same area as the rectangle
Answers
Answer:
length = 9 cm
Step-by-step explanation:
perimeter = p =26 cm
width = w= 4 cm
perimeter of a rectangle= 2*w+2*L
L= length
so we have:
26 = 2*(4) +2*L
26= 8 +2L
26-8 = 2L
18 = 2L
L= 18/2
L =9 cm = length
