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3 years ago

Find the first, fourth, and eighth terms of the sequence A(n) = −2 ∙ 2x − 1

Mathematics

1 answer:

Margaret [11]3 years ago

4 0

Answer:

1st term = -5

4th term = -17

8th term = -33

Step-by-step explanation:

1st term = -2 x (2 x 1) -1

= -2 x 2 - 1

= -4 - 1 = - 5

4th term = -2 x (2 x 2) -1

= -2 x 4 - 1

= -8 - 1 = - 9

8th term = -2 x (2 x 8) - 1

= -2 x 16 - 1

= -32 - 1 = - 33

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Which table shows a proportional relationship and the correct amount of each ingredients

ollegr [7]

I am pretty sure that it is table one because each number from the original recipe to the teachers recipe is multiplied by three.

5 0

3 years ago

Find the exact value of the trigonometric function given that sinU=-7/25 and cosV=-4/5 (Both U and V are in Quadrant III)

Contact [7]

cosU:-

$\\ \rm\longmapsto \sqrt{1-sin^2U}=\sqrt{1-49/625}=24/25$

As U lies in Q3

cosU=-24/25

sinV

$\\ \rm\longmapsto \sqrt{1-cos^2V}=\sqrt{1-16/25}=3/4$

As V lies in Q3

sinV=-3/5

sin(V-U)=sinVcosU-cosVsinU=(-3/5)(-24/25)-(-4/5)(-7/25)=72/125-28/125=72-28/125=44/125
cos(U-V)=cosUcosV+sinUsinV=(-24/25)(-4/5)+(-7/25)(-3/5)=96/125+21/125=117/125

3 0

2 years ago

Let the function f be defined as f(x)= 5x^2 - 7(4x+3). What is the value of f(3)

Katen [24]

Answer:

f(x) = -60 is your answer

Step-by-step explanation:

Plug in 3 for x

f(x) = 5x² - 7(4x + 3)

f(x) = 5(3²) - 7(4(3) + 3)

Follow PEMDAS. First, solve the parenthesis

3² = 9

4(3) + 3 = 12 + 3 = 15

f(x) = 5(9) - 7(15)

Multiply

f(x) = 45 - 105

Simplify. Subtract

f(x) = 45 - 105

f(x) = -60

f(x) = -60 is your answer

4 0

3 years ago

Automobile tires can have a symmetric tread or an asymmetric tread. An experiment is to be conducted to determine whether the st

Genrish500 [490]

Answer:

Hello your question lacks the required options here are the options

By blocking on stopping distance

By blocking on tire tread type

By blocking on automobile type

By blocking on automobile size

Without blocking

Answer : By blocking on automobile size

Step-by-step explanation:

The experiment can best be conducted by blocking on the automobile and this is because the Automobile size and the stopping distance are proportionally related (associated ) as seen from the previous experiments hence the best experiment is By blocking on the size of the automobile is very crucial .

we can have a symmetric tread tire or an asymmetric tires fixed on the different types of Automobiles simultaneously and see if the stopping distance will be affected when we change the tires that way we are blocking on the Automobile size the same type of tires will be fixed at the same time on each automobile size

8 0

3 years ago

Angles B And W are supplementary. Angle B has a measure of (4x+16) .Angle W has a measure of 68 .what is the value of x

Yuri [45]

Answer:

Step-by-step explanation:

4x+16 + 68 = 180

4x + 84 = 180

4x = 96

x = 24

8 0

3 years ago