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3 years ago

Given the function f(x) = 2(3)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

1 answer:

6 0

The answers to the questions are as follows:

Part A)

Section A : 4
Section B : 36

Part B) 9 times

because exponential function grows faster with larger x

I hope my answer has come to your help. God bless and have a nice day ahead!

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1) Which of the numbers is NOT rational? A) - 5 B) - - - 중 733 D) 6.3

otez555 [7]

Alternative D)6.3 ......

6 0

3 years ago

A recipe that makes 8 jumbo blueberry muffins calls for 1 1/2 teaspoons of baking powder how much making baking powder is needed

nirvana33 [79]

we know that

For make $8$ jumbo blueberry muffins is needed $1\frac{1}{2}$ teaspoons of baking powder

$1\frac{1}{2}=1.5$

by proportion

$\frac{8}{1.5} =\frac{36}{x} \\ \\ 8x=36*1.5\\ \\ x=\frac{36*1.5}{8} \\ \\ x=6.75$

$x=6\frac{3}{4}$ teaspoons of baking powder

therefore

the answer is

$6\frac{3}{4}$ teaspoons of baking powder

7 0

4 years ago

Read 2 more answers

Find the circumference of the circle. Use 3.14 for piπ. WILL MARK BRAINLIEST!!! ⭐️

Kitty [74]

Answer:

c=2πr

c= 2*π*11

c=6.28*11

c=69.08

3 0

4 years ago

Read 2 more answers

50 points!!! Picture below please help

Dmitry_Shevchenko [17]

Answer:

24/25

20/29

Step-by-step explanation:

Trigonometry ratios:

$sin(\theta)=\frac{O}{H} \\\\cos(\theta)=\frac{A}{H} \\\\tan(\theta)=\frac{O}{A}$

where O is the side opposite to the angle, A is the side adjacent to the angle and H is the hypotenuse (longest side)

As angles A and C are complementary, this implies that side b is the hypotenuse and sides a and c are the legs of a right triangle.

Referring to the attached diagram:

sin(A) = O/H = a/b

cos(C) = A/H = a/b

Therefore, sin(A) ≡ cos(C)

If sin(A) = 24/25 , the value of cos(C) = 24/25

If cos(A) = 20/29, the value of sin(C) = 20/29

6 0

3 years ago

"A clock is positioned on an auditorium wall with its center 9 feet above the floor. The second hand is 10 inches long and conti

GenaCL600 [577]

Answer: f(x) = 10in*cos(x*2*pi/60s) + 10in*sin(x*2*pi/60s) + 108in.

Step-by-step explanation:

When we have a circular motion, we can write this as:

f(x) = A*sin(k*x + f) + A*cos(k*x + f) + C.

where:

k is a constant that depends on the period.

f is a phase shift.

C is the mean height of the circular motion, in this case will be equal to the height of the center, that is 9ft.

C = 9ft.

A is the amplitude of the motion, in this case is equal to the radius, that is equal to the lenght of the second hand

A = 10in

But we should write both quantities in the same units, so we have:

1ft = 12in

then:

C = 9ft = 9*12in = 108in

Then our equation is:

f(x) = 10in*cos(k*x + f) + 10in*sin(k*x + f) + 108in

now, x = 0s coincides with the noon

so at x = 0s, the second hand is pointint to the twelve, this means that is in the max height, so we have:

F(0s) = 10in*cos(0 + f) + 10in*sin(0 + f) + 108 in

Now, the maximum value will be when the value inside the sinusoidals is 0.

(because cos(0) = 1 and sin(0) = 0)

then we have that f = 0.

Now, we know that it takes 60 seconds to do a full revolution, and for the sinusodial functions the period is 2*pi

Then we have:

c*60s = 2*pi

c = 2*pi/60s.

Then the equation is:

f(x) = 10in*cos(x*2*pi/60s) + 10in*sin(x*2*pi/60s) + 108in.

4 0

3 years ago

Read 2 more answers