The average daily temperature, t, in degrees fahrenheit for a city as a function of the month of the year, m, can be modeled by the equation t = 35 cosine (startfraction pi over 6 endfraction (m 3) 55, where m = 0 represents january 1, m = 1 represents february 1, m = 2 represents march 1, and so on. which equation also models this situation? t = negative 35 sine (startfraction pi over 6 endfraction m) 55 t = negative 35 sine (startfraction pi over 6 endfraction (m 3)) 55 t = 35 sine (startfraction pi over 6 endfraction m) 55 t = 35 sine (startfraction pi over 6 endfraction (m 3)) 55
The answer will be t=-35Sin{[tex]\pi[/tex]/6m)+55 average daily temperature, t, in degrees Fahrenheit for a city as a function of the month of the year.
What is temperature?Temperature is the degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale and shown by a thermometer or perceived by touch.
For the equation: 35cos(pi/6(m+3)+55)
Simplify it by multiplying pi/6 in the bracket values:
[tex]=35 Cos (\dfrac{\pi m}{6}+\dfrac{3\pi }{6}+55)[/tex]
[tex]=35 Cos(\dfrac{\pi m}{6}+55+\dfrac{\pi}{2})[/tex]
Now suppose x = m.pi/6+55, while pi/2 = 90⁰
As per law cos(x+90⁰)=-sin(x)
so,cos((m.pi/6)+55+90⁰=-sin((m.pi/6)+55)
Hence answer will be
[tex]=-35Sin(\dfrac{\pi m}{6}+55)[/tex]
The law cos(x+90⁰)=-sin(x) can be proved by putting y=90⁰ in the following formula,
cos(x+y)=cos(x).cos(y)-sin(x).sin(y)
Hence the answer will be t=-35Sin{[tex]\pi[/tex]/6m)+55 average daily temperature, t, in degrees Fahrenheit for a city as a function of the month of the year.
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Answer:
A
Step-by-step explanation:
t = negative 35 sine (StartFraction pi Over 6 EndFraction m) + 55
HELP WILL GIVE 20PTS PLEASE HELP ASAP
Answer:
hi, where's mt 20pts
Step-by-step explanation:
0.3
12+6+9+13=40
12/40 (or 3/10 simplified)
Thus, 0.3 as a decimal
Hope this helps!
7. A shop has 8 different shirts and 4 different jeans. How many ways are there to select two items so that at least one jean is chosen
What's the answer? I need it asap!
Volume of rectangle is
10 times 5 times 3
150 cm
3.14 times radius times 2 times height
So, 50.24 Cm
So its 200.24 Cm
answer please fast fast fast
Answer:
9 is A 10 is D
not sure of the other two
Step-by-step explanation:
9 increases by 4 every time
10 increases by 7 every time
Answer:
9. A
10. D
11. D
12. A
Step-by-step explanation:
9. Look at the pattern; 6+4=10, 10+4=14, 14+4=18, 18+4=22.
10. Same thing for number nine.
11 & 12. Its just vocab
It is now quarter to ten. What time will it be in four hours and fifty-one minutes?
Answer:it would be 2:22
Step-by-step explanation:
If there’s 25 minutes till 10 so therefore it would be 9:35 and since it’s 9:35 four hours and 51 minutes from then would be 2:22 because the minutes would add up to 82 minutes and four hours so your answers to 2:22
Which algebraic expression is a polynomial with a degree of 2? 4x3 − 2x 10x2 − startroot x endroot 8x3 startfraction 5 over x endfraction 3 6x2 − 6x 5
The algebraic expression that is a polynomial with a degree of 2 is
6x^2-6x+5.
What is the degree?The degree of a term of a polynomial is the total sum of the exponents of the variables in each term.
The highest degree of the polynomial is considered the degree of the polynomial.
For the first option,
[tex]4x^3-2x+10[/tex]
The highest degree is 3.
The second option is,
[tex]x^2-8x^3+3[/tex]
This polynomial also has a degree of 3.
The third option is,
[tex]6x^2-6x+5[/tex]
This last option has a degree of 2.
Therefore the correct answer is option C.
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Answer:The answer is C
Step-by-step explanation:Edge 2022 :)
Nina graphs the function y=⌊x⌋ to learn the properties of the parent floor function. what is the value of y when x=5.7? 5 5.50 5.75 6
The values of y when x=5.7 will be 5. In the graphs, the function is represented as y=⌊x⌋
What is a graph?A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.
In the graphs the function y=⌊x⌋
The value of the y obtaining will be the whole number of the left axis of the integers.5 is the nearest whole number to the 5.7.
The given value of the function is ;
y = [ 5.7 ] = 5
Hence the value of the y is 5.
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Answer:
A. 5Step-by-step explanation:
The table shows a schedule of jorge’s payment plan for a car. jorge’s payment plan year balance monthly payment end of year balance 1 $15,469.80 $257.83 2 $257.83 3 $257.83 4 $257.83 5 $257.83 6 $257.83 how many years will it take jorge to pay off the loan? 3 years 4 years 5 years 6 years
The number of the years is 5 which is taken by Jorge to pay off the loan. Then the correct option is C.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
The table shows a schedule of Jorge’s payment plan for a car.
Jorge’s payment plan year balance monthly payment end of year balance.
The price of the car is $15,469.80
The monthly payment will be $257.83
Then the number of the years taken by the Jorge to pay off the loan will be
[tex]\rm \rightarrow \dfrac{15469.8}{257.83} \\\\\rightarrow 60 \ months \\\\\rightarrow 5 \ years[/tex]
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Answer:
The correct option is C
Step-by-step explanation:
I took the unit test just 5 min ago god bless
#Chalnge share the favor who ever sees this find a question and answer it and say what this says
God loves you all no matter what you do just ask for forgiveness
God really loves us all
Another representation, in polar coordinates, of the point (1 , 5pi/6) is (___ , 11pi/6)
The representation, in polar coordinates, of the point (1 , 5pi/6) is (-1, 11pi/6).
What is a polar coordinate?It should be noted that polar coordinate simply means a coordinate system where the point on the plane is determined by a distance and reference point.
In this case, the representation, in polar coordinates, of the point (1 , 5pi/6) is (-1, 11pi/6). When graphing the polar coordinate, the pole should be moved in a direction opposite the given positive angle.
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Answer:
-1
Step-by-step explanation:
trust
Charles needs a $10,000 loan in order to buy a car. Which loan option would allow him to pay the LEAST in interest? A) A 2-year loan with a 4. 75% interest rate compounded annually. B) A 3-year loan with a 4. 00% interest rate compounded annually. C) A 4-year loan with a 3. 75% interest rate compounded annually. D) A 5-year loan with a 3. 00% interest rate compounded annually
The loan option that would allow Charles to pay the LEAST in interest is option A.
What is Compound Interest?Compound Interest is a process where the interest is credited to the initial amount and interest, on the whole, is charged again. and this continues for t period of time.
It is given by the formula,
[tex]A=P(1+r\%)^n[/tex]
where A is the value after t period of time, P is the principal amount, and,
r is the rate of interest.
A.) Principle amount = $10,000
Time Period of loan = 2 years
Rate of Interest = 4.75% per annum
Now, the total amount can be written as
[tex]=P(1+r\%)^n\\\\= \$10,000 \times (1+0.0475)^2\\\\= \$10,972.56[/tex]
The interest will be = $10,972.56 - $10,000 = $972.56
B.) Principle amount = $10,000
Time Period of loan = 3 years
Rate of Interest = 4.00% per annum
Now, the total amount can be written as
[tex]=P(1+r\%)^n\\\\= \$10,000 \times (1+0.04)^2\\\\= \$11,248.64[/tex]
The interest will be = $11,248.64 - $10,000 = $1,248.64
C.) Principle amount = $10,000
Time Period of loan = 4 years
Rate of Interest = 3.75% per annum
Now, the total amount can be written as
[tex]=P(1+r\%)^n\\\\= \$10,000 \times (1+0.0375)^2\\\\= \$11,586.5[/tex]
The interest will be = $11,586.5- $10,000 = $1,586.5
D.) Principle amount = $10,000
Time Period of loan = 5 years
Rate of Interest = 3.00% per annum
Now, the total amount can be written as
[tex]=P(1+r\%)^n\\\\= \$10,000 \times (1+0.03)^5\\\\= \$11,592.74[/tex]
The interest will be = $11,592.74 - $10,000 = $1,592.74
Hence, the loan option that would allow Charles to pay the LEAST in interest is option A.
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please help me with question 8
Answer:
[tex] \red{ \rule{1pt}{500000pt}}[/tex] [tex] \red{ \rule{1pt}{500000pt}}[/tex]
Step-by-step explanation:
I NEED HELP RN PLSS I HAVE NO TIME LEFT
Answer:
B
Step-by-step explanation:
yes, the angles are the same.
and the scale factor is
NS / GA = 15/12 = 5/4
How should the headings of a résumé be formatted so that they are clear and easy to find? a. bold and italicized b. capitalized and bold c. underlined and italicized d. capitalized and underlined
The headings of a résumé should be capitalized and bold formatted so that they are clear and easy to find.
What do you mean by headlines?Headlines are the main topic or the highlighted part of any paragraph which indicates the nature of the article.
The headings of a résumé should be formatted so that they are clear and easy to find.
The headings indicate the nature of the article so it should be highlighted or different from the summary.
The heading must be capitalized and bold which makes the text different from the summary.
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Answer:
B. EDG 2023
Step-by-step explanation:
Just took practice
solve the following system of equations using substitution
x = 4
2x + 4y = 36
Step-by-step explanation:
2x + 4y = 36
2 × 4 + 4y = 36
8 + 4y = 36
4y = 36 - 8
4y = 28
y = 28 ÷ 4
y = 7
Last Wednesday, students could choose ham or turkey sandwiches for
lunch. The cafeteria made 100 sandwiches in all, 70 of which were turkey.
What percentage of the sandwiches were turkey sandwiches? *
A scientist wants to find
out how the properties of water change
when salt is added to it. For every cup of
1
water she has, she replaces of it with
salt. If she has 24 cups of water, how
many cups will she replace with salt?
8
Answer:
the answer 192(If Multiplied)
what is 5x90-100 and divided by 2
X=
Please see attached problem
Prism M is a dilation of Prism N. The height of Prism M is 434 ft, and the volume of Prism M is 6825 ft³. The height of Prism N is 238 ft. What is the volume of Prism N? Enter your answer as a mixed number in simplest form by filling in the boxes
Answer:
The answer is 8 11/20. Can I have brainliest?
Step-by-step explanation:
Solve for bbb.
4b+5=1+5b4b+5=1+5b4, b, plus, 5, equals, 1, plus, 5, b
b=b=b, equals
Answer:
Step-by-step explanation:
What is the value of x?
Answer:
x = 27 units
Step-by-step explanation:
39 / ( 39+ 26) = x / (x+18)
x = 27
Urgent! The length of the shorter leg of a 30-60-90 Special Right Triangle is 17 yd long.
How long is the longer leg of the triangle?
A. 17 yd
B. 17 √2 yd
C. 34 yd
D. 17 √3 yd
The longer side of the triangle is 17√3 yd. Therefore, option D is the correct answer.
What are trigonometric angles?Trigonometric angles are the angles in a right-angled triangle using which different trigonometric functions can be represented. Some standard angles used in trigonometry are 0º, 30º, 45º, 60º, 90º.
Given that, the length of the shorter leg of a 30-60-90 Special Right Triangle is 17 yd long.
Let the longer side of the triangle be x.
We know that, tanθ = Opposite/Adjacent
tan60° = x/17
√3=x/17
x=17√3 yd.
Therefore, option D is the correct answer.
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Convert the polar representation of this complex number into its standard form: z=4(cos5pi/6 + i sin 5pi/6)
The complex number z = 4(cos(5pi/6) + isin(5pi/6)) is given as z = -3.464 + 2i in standard form
What is a complex number?Complex numbers are the numbers which is in the form of:
a + ib where, a,b are real numbers and 'i' is an imaginary number.
The complex number can also be represented in polar form as:
z = r(cosФ + isinФ)
Given the complex number:
z=4(cos(5pi/6) + isin(5pi/6)), hence converting to standard form gives:
z = -3.464 + 2i
The complex number z = 4(cos(5pi/6) + isin(5pi/6)) is given as z = -3.464 + 2i in standard form
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Answer:
-2 square root 3 + 2i
Step-by-step explanation:
please help! What fractional part of one semicircle does the labeled angle represent? Express
your answer as a fraction in simplest terms. Then, express the labeled angle in radian
measure.
280°
Let's consider what the problem wants us to find:
fractional part covered by the labeled angleangle in radiansLet's find the fractional part:
⇒ the fractional part is equal:
[tex]\frac{degree-covered-by-angle}{total-angle} =\frac{280}{180} =\frac{2*2*7*10}{2*2*3*3*5} =\frac{7*10}{3*3*5} =\frac{70}{45}=\frac{14}{9}[/tex]
Answer: The angle 280 degrees covers 14/9 of a semicircle.
Let's find the angle measure in radians:
⇒ we know that [tex]2\pi[/tex] radians are equal to 360 degrees
⇒ to convert any degree to radians, you must multiply [tex]\frac{\pi }{180}[/tex]
so [tex]280*\frac{\pi }{180} =\frac{28}{18}*\pi =\frac{28\pi }{18}=\frac{2*14*\pi }{2*9} =\frac{14\pi }{9}[/tex]
Answer: The angle 280 degrees in radians is [tex]\frac{14\pi} {9}[/tex] which in terms of [tex]\pi[/tex] is
14/9
Hope that helps!
A school has 4 steps to the front door. Each step is 7 inches tall. Design a ramp for the
school.
The multiplication shows that the total steps for the ramp will be 28 inches.
How to calculate the steps for the ramp?From the information given, the school has 4 steps to the front door and each step is 7 inches tall.
In this case, the total steps of the ramp will be gotten by multiplying the values. This will be:
= 4 × 7 = 28 inches.
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Solve for x. Round to the nearest tenth, if necessary.
x = 1.3 (to the nearest tenth)
Step-by-step explanation:
Missing angle is 20 degrees
CAH
hypotenuse = x
Adjacent = 3.6
Cos(20) = x/3.6
x3. 6
3.6 x (20) = x
x = 1.31029.....
Hope this helps!
The sum of two polynomials is 8d5 – 3c3d2 5c2d3 – 4cd4 9. if one addend is 2d5 – c3d2 8cd4 1, what is the other addend? 6d5 – 2c3d2 5c2d3 – 12cd4 8 6d5 – 4c3d2 3c2d3 – 4cd4 8 6d5 – 4c3d2 5c2d3 – 12cd4 8 6d5 – 2c3d2 – 3c2d3 – 4cd4 8
The sum of two polynomials is 8d^5 - 3c^3d2 +5c^2d^3 - 4cd^4 +9
2d^5 - c^3d^2 +8cd^4 +1 would be 6d^5 - 2c^3d^2+ 5c^2d^3 - 12cd^4 +8.
What are polynomials?Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.
Given that
[tex]8d^5 - 3c^3d2 +5c^2d^3 - 4cd^4 +9\\[/tex]
Now
if one is added i.e.
[tex]2d^5 - c^3d^2 +8cd^4 +1,[/tex]
Now let us assume the other polynomial be x
So,
[tex]8d^5 - 3c^3d2 +5c^2d^3 - 4cd^4 +9\\[/tex] = x + [tex]2d^5 - c^3d^2 +8cd^4 +1,[/tex]
x = [tex]8d^5 - 3c^3d2 +5c^2d^3 - 4cd^4 +9\\[/tex] - ( [tex]2d^5 - c^3d^2 +8cd^4 +1,[/tex])
x = [tex]6d^5 - 2c^3d^2+ 5c^2d^3 - 12cd^4 +8[/tex]
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Kristen has been earning $170 per week by babysitting. She has been
working hard to save 25% of each week's earnings. If she continues to
save the same amount each week, how long will it take her to save $212.5?
25% of $175 is $42.5
$212.5 divided by $42.5 is 5.
It will take her 5 weeks
Answer:
5 weeks
Step-by-step explanation:
First we must turn the percentage into a decimal :)
170 x 0.25 = 42.50
Now we divide :)
212.5/42.50 = 5
She will take 5 weeks :)
Have an amazing day!!
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A cylinder has a height of 15 yards its volume is 15,260.4 what is the radius of the cylinder
Step-by-step explanation:
As it is given that, a cylinder has a height of 15 yards and the volume of the cylinder is 15,260.4 cubic yards and we are here to find the radius of the cylinder.
[tex] \: [/tex]
We know that,
[tex]{ \longrightarrow\qquad{\frak {\pmb{ \pi {r}^{2}h = Volume_{(cylinder) } }}}} \\ \\[/tex]
Where,
r is the radius of the cylinder.h is the height of the cylinder.Here, we will take the value of π as 3.14 approximately .[tex] \: [/tex]
Now, we will substitute the given values in the formula :
[tex] \: [/tex]
[tex]{ \longrightarrow\qquad{\sf {\pmb{ 3.14 \times {r}^{2} \times 15 = 15260.4 }}}} \\ \\[/tex]
[tex]{ \longrightarrow\qquad{\sf {\pmb{ {r}^{2} \times 47.1 = 15260.4 }}}} \\ \\[/tex]
[tex]{ \longrightarrow\qquad{\sf {\pmb{ {r}^{2} = \dfrac{15260.4}{47.1} }}}} \\ \\[/tex]
[tex]{ \longrightarrow\qquad{\sf {\pmb{ {r}^{2} \ = 324 }}}} \\ \\[/tex]
[tex]{ \longrightarrow\qquad{\sf {\pmb{ r = \sqrt{324} }}}} \\ \\[/tex]
[tex]{ \longrightarrow\qquad{ \underline{ \boxed{\pmb {\frak{ r = 18 } }}}}} \: \: \: \bigstar\\ \\[/tex]
[tex] \: [/tex]
Therefore,
The radius of the cylinder is 18 yards .Answer:
Radius of the cylinder is 18 yardsStep-by-step explanation:
Given:
Height of cylinder (H) = 15 yardsVolume of cylinder = 15,260 yd³To Find:
Radius of the cylinderSolution:
Here we are given height and volume of the cylinder. To find the radius of the cylinder We will substitute the value of height and volume in give formula:
Volume of cylinder = πr²h
➝ 15,260.4 = 22/7 × (r)² × 15
➝ 15,260.4 = (r)² × 330/7
➝ 15,260.4 = (r)² × 47.1
➝ 15,260.4/47.1 = (r)²
➝ 324 = (r)²
➝ √324 = r
➝ 18 = r
Hence,
Radius of cylinder is 18 yards