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Zinaida [17]
3 years ago
13

Which best describes the relationship between the successive terms in the sequence shown?

Mathematics
2 answers:
sergey [27]3 years ago
7 0
Take any term and subtract the one before it. -4.8 - 2.4 = -7.2 but -19.2 - 9.6 = -28.8 so the difference is NOT common
Dividing pairs of terms gives -4.8 / 2.4 = -2. 9.6 / -4.8 = -2. -19.2 / 9.6 = -2 so there is a common ratio of -2
Bingel [31]3 years ago
4 0
THE ANSWER IS THE COMMON DIFFERENCE IS -7.2 (first answer)

PLEASE MARK BRAINLIEST :)
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W(t)W, left parenthesis, t, right parenthesis models the daily water level (in \text{cm}cmstart text, c, m, end text) at a pond
erastovalidia [21]

Answer:

t=152 days (in radians)

Step-by-step explanation:

W(t)models the daily water level at a pond in Arizona, t days after the hottest day of the year. (t is entered in radian)

W(t) = 15\cos\left(\dfrac{2\pi}{365}t\right) + 43

We want to determine the first time,t at which the water level is 30cm.

When W(t)=30

30 = 15\cos\left(\dfrac{2\pi}{365}t\right) + 43\\30-43=15\cos\left(\dfrac{2\pi}{365}t\right)\\-13=15\cos\left(\dfrac{2\pi}{365}t\right)\\-\dfrac{13}{15} =\cos\left(\dfrac{2\pi}{365}t\right)\\cos^{-1}(-\dfrac{13}{15})=\dfrac{2\pi}{365}t\right)\\cos^{-1}(\dfrac{13}{15})=\dfrac{2\pi}{365}t\right)

cos^{-1}(\dfrac{13}{15})=\dfrac{2\pi}{365}t\right)\\t=\dfrac{365}{2\pi}\cdot cos^{-1}(\dfrac{13}{15})\\t=152.16\\\approx 152 days \text{   (to the nearest whole day)}

6 0
3 years ago
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a one day movie rental at red box cost $1.39. for each additional day there is a fee of $0.50.How much will it cost to rent a mo
Vedmedyk [2.9K]
C = 1.39 + 0.5(n - 1), where C is the cost and n is the number of days
C = 1.39 + 0.5(6)
C = $4.39
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Can someone help me figure this out?
Lyrx [107]

Answer:


Step-by-step explanation:

Let's look at what 10^100 and 100^10 are as numbers without exponents.

Ten raised to a positive integer exponent is a 1 followed by the number of zeros the exponent tells you. For example, 10^2 is 100, or 1 followed by 2 zeros, just like the exponent 2 tells you. 10^5 is 1 followed by 5 zeros, or 100,000. A googol is 10^100 which is a 1 followed by 100 zeros.

Let's use rules of exponents to understand what 100^10 is.

100^10 = (10^2)^10

To raise a power to a power, multiply powers.

100^10 = (10^2)^10 = 10^20

We know what 10^20 means. It is a 1 followed by 20 zeros.

A googol, 10^100, is a 1 followed by 100 zeros.

100^10 is the same as 10^20 or 1 followed by 20 zeros.

A googol is much, much greater than 100^10.

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3 years ago
What is the value of z, rounded to the nearest tenth? Use the law of sines to find the answer. 2. 7 units 3. 2 units 4. 5 units
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The law of sine is the nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).

The value of the z is 3.2 (rounded to the nearest tenth). The option 2 is the correct option.

<h3>What is law of sine?</h3>

The law of sine is the nothing but the relationship between the sides of the triangle to the angle of the triangle (oblique triangle).

It can be given as,

\dfrac{\sin A}{a} =\dfrac{\sin B}{b} =\dfrac{\sin C}{c}

Here A,B,C are the angle of the triangle and a,b,c are the sides of that triangle.

Given information-

The triangle for the given problem is attached below.

In the triangle the base of the triangle is 2.6 units long.

The sine law for the given triangle can be written as,

\dfrac{\sin X}{x} =\dfrac{\sin Y}{y} =\dfrac{\sin Z}{z}

As the value of y side is known and the value of z has to be find. Thus use

\dfrac{\sin Y}{y} =\dfrac{\sin Z}{z}

Put the values,

\dfrac{\sin 51}{2.6} =\dfrac{\sin 76}{z}

Solve it for the z,

z=\dfrac{\sin 76\times 2.6}{\sin 51}\\z=3.2462

Hence the value of the z is 3.2 (rounded to the nearest tenth). The option 2 is the correct option.

Learn more about the sine law here;

brainly.com/question/2264443

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An adult has 37.2 trillion cells
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