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We then have to evaluate:
y = 3cosx + 3
y = 3cos0 + 3
y = 3 + 3
y = 6
Then, for x = pi
y = 3cosx + 3
y = 3cospi + 3
y = -3 + 3
y = 0
Answer:
y = 3cosx + 3
option 2
Related Questions
21/80 as a percentage
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To get a percentage from a decimal, move the decimal point to the right 2 place values
0.2625 becomes 26.25%
26.25% is your answer
hope this helps
find the geometric mean between 18 and 2,
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Formula:
Geometric Mean = ((X₁)(X₂)(X₃)........(Xₙ))^1/ⁿ
Where,
X = Individual score
N = Sample size (Number of scores)
The real part of the complex number –5 + 3i is
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Real part of the complex number [tex]-5 + 3i[/tex] is -5.
What is complex number?" Complex numbers are such numbers which expressed in form of [tex]a+ i b[/tex], where 'a' represents the real part and b represents the imaginary part containing [tex]i[/tex] . Value of [tex]i = \sqrt{-1}[/tex]."
According to the question,
Given complex number,
[tex]-5 + 3i[/tex]
Compare it with general form of complex number [tex]a+ i b[/tex] we get,
Real value of( [tex]-5+ 3i[/tex]) = -5
Imaginary value of [tex]-5+ 3i[/tex] = 3
Hence, real part of the complex number [tex]-5 + 3i[/tex] is -5.
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The function y = 41 ? 0.95x models the difference (in minutes) between men's and women's finishing times for the boston marathon. the number of years since women first officially ran the race in 1972 is represented by x.
a. does the exponential function represent growth or decay?
b. estimate the difference between finishing times in 1990.
c. predict the difference between finishing times in 2005.
Answers
[tex]y=41* 0.95^{x} [/tex]
a. Does the exponential function represent growth or decay?
To find out if this is growth or decay we need to observe number that is connected with x. If number is less than 1 we have decay and if it is greaer than 1 we have growth.
In our case we have number 0.95 which is less than 1 so we have decay.
b. Estimate the difference between finishing times in 1990.
x represents the number of years since 1972.
[tex]x=1990-1972=18[/tex]
Now we insert this number into equation to get solution.
[tex]y=41* 0.95^{18} = 16.29[/tex]
c. Predict the difference between finishing times in 2005.
[tex]x=2005-1972=33[/tex]
[tex]y=41* 0.95^{33} = 7.55[/tex]
How much more interest is owed on $900 for 9 months then for 6 months? 6 months = 2.4% rate 9 months = 2.9% rate
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[tex]\bf ~~~~~~ \textit{Simple Interest Earned on 9 months}\\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\to& \$900\\ r=rate\to 2.9\%\to \frac{2.9}{100}\to &0.029\\ t=years\to \frac{9}{12}\to &\frac{3}{4} \end{cases} \\\\\\ I=900(0.029)\left( \frac{3}{4} \right)\\\\ -------------------------------[/tex]
[tex]\bf ~~~~~~ \textit{Simple Interest Earned on 6 months}\\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\to& \$900\\ r=rate\to 2.4\%\to \frac{2.4}{100}\to &0.024\\ t=years\to \frac{6}{12}\to &\frac{1}{2} \end{cases} \\\\\\ I=900(0.024)\left( \frac{1}{2}\right)[/tex]
check their difference, that much.
The interest is $8.77 owed in the amount of $900 for 9 months more than for 6 months.
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, The rate of interest is in percentage r% and is to be written as r/100
To determine interest on the amount of $900 for 9 months
Here P = $900, R = 2.9% = 2.9/100, and T = 9/12 year
Interest = P × R × T
Interest = 900 × 2.9/100 × 9/12
Interest = $19.57
To determine interest on the amount of $900 for 6 months
Here P = $900, R = 2.4% = 2.4/100, and T = 6/12 year
Interest = P × R × T
Interest = 900 × 2.4/100 × 6/12
Interest = $10.80
The difference of interest is owed on $900 for 9 months then for 6 months: $19.57 - $10.80 = $8.77
Therefore, the interest is $8.77 owed in the amount of $900 for 9 months more than for 6 months.
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Calculate.
0 = x² + 10x + 16
Enter your answers in the boxes.
Answers
You can get this by factoring the polynomial and solving for x or by using the quadratic formula.
How many minutes greater is the software company's median than the bank's median?
Enter your answer in the box.
Answers
Answer to question 3
Answers
Catie is trying to determine the height that a ladder reaches as it leans against a wall. She walks under the ladder and touches her forehead to it as shown. If her feet are 16 inches from the ladder's base, the ladder's base is 4.5 feet from the bottom of the wall, and Catie is 5 feet 6 inches tall, then come up with an estimate for how high the ladder reaches up the wall to the nearest tenth of a foot. Watch your units on this problem and show all work
Answers
Catie creates a similar triangle with the ladder so we can create a proportion to solve for the height.
[tex] \frac{baseto feet}{base to wall} = \frac{catie height}{wall height} [/tex]
Convert all values to feet . 16in = 1.33 ft . 5ft 6 in = 5.5 ft
Insert values into proportions
[tex] \frac{1.33}{4.5} = \frac{5.5}{x} [/tex]
Cross multiply to get
24.75=1.33x
divide both sides by 1.33
x=18.56ft
To find the height the ladder reaches up the wall, set up a proportion using similar triangles and Catie's height as the ladder's height. The estimate for the ladder's height up the wall is 6.8 feet.
Given information:
Catie is 5 feet 6 inches tall.Her feet are 16 inches from the ladder's base.The ladder's base is 4.5 feet from the bottom of the wall.To find the height the ladder reaches up the wall, we can set up a proportion using similar triangles. Catie's height can be considered as the ladder's height, and the distance on the wall can be related to the ladder's base and height.
Using the information provided and performing the calculations, the estimate for the height the ladder reaches up the wall would be approximately **6.8 feet** to the nearest tenth of a foot.
While Playing Yahtzee and rolling 5 dice, Mei gets the result shown at right (the numbers are 2, 4, 4, 4, and 1). Mei decides to keep the three fours and reroll the other 2 dice. a. what is the probability that Mei will have 5 of a kind? b. What is the probability that she will have 4 of a kind? c. what is the probability that she will have exactly three 4's?
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B. 10/36. Ten of the options contain exactly 1 - 4.
C. The remaining 25/36 options do not include a 4.
What is the trigonometric ratio for cosD ?
Enter your answer, as a simplified fraction.
Answers
in our case
cos D=21/75=7/25
A sum of _________ can be factored according to the pattern (a + b)(a2 - ab + b2).
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Solution:
we are given with [tex] (a + b)(a^2 - ab + b^2) [/tex]
we have been asked to find the representation of the given factor as a Sum.
As we know that
[tex] (a^3+b^3)= (a + b)(a^2 - ab + b^2) [/tex]
Because
[tex] (a + b)(a^2 - ab + b^2)=a(a^2 - ab + b^2)+b(a^2 - ab + b^2)\\
\\
(a + b)(a^2 - ab + b^2)=a^3-a^2b+ab^2+ba^2-ab^2+b^3\\
\\
(a + b)(a^2 - ab + b^2)=a^3+b^3\\ [/tex]
Can someone give me the answer to the question?
Answers
x = 49 cm^2/(10 cm)
x = 4.9 cm
PLEASE HELP ME ON THIS....
thx
Answers
answer
There is no solution
What is the difference of the two polynomials?
(7y2 + 6xy) – (–2xy + 3)
Answers
7y^2 + 6xy +2xy +3
7y^2 +8xy +3
8xy + 7y^2 +3
The single equivalent discount rate of 9/5/4 is .17008. True or False?
Answers
Given the following linear function, identify the slope and y-intercept of the function: x= 1/6x+7
Answers
hope it helps
please mark as brainliest
Giving a test to a group of students, the grades and gender are summarized below. if one student was chosen at random, find the probability that the student was female. male total 39 female total 26
Answers
To find the probability that a student is female, first add up both the number of males and females.
39 + 26 = 65
Now, divide the total number of females by 65 and multiply by 100.
26 / 60 = 0.4 x 100 = 40%
A rectangle is drawn on a coordinate plane. Three vertices of the rectangle are points L(−3,10) , M(6,10) , and P(−3,−6) . Point N is the fourth vertex of the rectangle. How long is the side of the rectangle connecting points M and N?
Answers
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The answer is 16.
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Hope this helps and have a great day!
Answer:
answer 16 or 1.6
Step-by-step explanation:
What is the value of x
Answers
Answer A x=5 since
x/(x+5)=(x-2)/(x+1)==>x²+x=x²-2x+6x-10==>2x=10==>x=5
The perimeters of two similar quadrilaterals are 48 cm and 60 cm, respectively. If the area of the smaller quadrilateral is 96 cm2, find the area of the larger quadrilateral.
Answers
The area of the larger quadrilateral is found by using the scale factor derived from the ratio of the perimeters of the similar quadrilaterals, which comes out to 150 cm².
The question involves finding the area of a larger quadrilateral given the perimeters of two similar quadrilaterals and the area of the smaller one. In similar figures, the ratio of their areas is the square of the ratio of their corresponding linear dimensions, such as side lengths or perimeters in this case. Since the perimeters are 48 cm and 60 cm, the ratio of the perimeters (also the scale factor) is 48/60, or 4/5. Consequently, the ratio of the areas is the square of the scale factor, which is (4/5)² or 16/25. Knowing the area of the smaller quadrilateral is 96 cm², we find the area of the larger quadrilateral by dividing the area of the smaller by the scale factor squared and then multiplying by the larger scale factor squared. This gives us (96 / (16/25)) cm² = (96 * 25/16) cm² = 150 cm².
So, the area of the larger quadrilateral is 150 cm².
The length of a shadow of a building is 32 m . the distance from the top of the building to the tip of the shadow is 38 m . find the height of the building. if necessary, round your answer to the nearest tenth.
Answers
Therefore, to solve the problem, you must find the third side using the
Pythagorean theorem.
We have then:
h ^ 2 + 32 ^ 2 = 38 ^ 2
We cleared h:
h = root (38 ^ 2 - 32 ^ 2)
h = 20.49390153
round to the nearest tenth
h = 20.5 m
Answer:
the height of the building is:
h = 20.5 m
PLEASE HELP! What is the area of triangle BCD in exact form? 35 points!
Answers
The long leg is equal to sqrt(3) times the short leg
long leg = sqrt(3)*(short leg)
long leg = sqrt(3)*5
long leg = 5*sqrt(3)
The base is 5. The height is 5*sqrt(3)
b = 5
h = 5*sqrt(3)
Use this to find the area
A = b*h/2
A = 5*5*sqrt(3)/2
A = 25*sqrt(3)/2
which is the exact area in terms of a radical
You can write it out as [tex]\frac{25\sqrt{3}}{2}[/tex]
sin 4 theta
hey, how do you simplify sin 4 theta? using double angle theory?
Answers
You begin with double-angle formula for sine:
sin(4θ) = sin(2·2θ) = 2·sin(2θ)·cos(2θ)
Then, double-angle formula for sine again:
2·sin(2θ)·cos(2θ) = 2·2·sinθ·cosθ·cos(2θ) = 4·sinθ·cosθ·cos(2θ)
Then double-angle formula for cosine:
4·sinθ·cosθ·cos(2θ) = 4·sinθ·cosθ·(cos²θ - sin²θ)
Last, multiply:
4·sinθ·cosθ·(cos²θ - sin²θ) = 4·sinθ·cos³θ - 4·sin³θ·cosθ
identify the image of xyz for a composition of two 270 degree rotation and a 90 degree rotation both about point x.
Answers
Answer:
The answer is D
Step-by-step explanation:
A lighthouse is 15m above sea level.
The lighthouse operator sights a boat at an angle of depression of 25 degrees.
How far is the boat from the lighthouse?
Round your answer to the nearest tenth.
Answers
tan x = opposite/adjacent
tan 25 = x/15
15 (tan 25) = x
6.9946 = x
So the boat is approximately 6.9946 m away from the lighthouse.
Answer:
41.2
Step-by-step explanation:
Which shows one way to determine the factors of x3 – 9x2 + 5x – 45 by grouping?
Answers
Answer:
x(x2 + 5) – 9(x2 + 5)
Step-by-step explanation:
One day a store sold 29 sweatshirts. White ones cost $10.95 and yellow ones cost $ 13.50. In all, $353.25 worth of sweatshirts were sold. How many of each color were sold?
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If the discriminant of a quadratic equation is greater than zero, which of the following is true of the equation?
A. It has two complex solutions.
B. It has one real solution.
C. It has two real solutions.
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PLEASE ANYONE
HELP
I think its 120 + 15x ≤ 360
IS that Correct!!??