3.
In which situation below would you want to use the Explicit Formula instead of the Recursive Formula
a.Find the 4th term when the first term is 7 and the common difference is -2.
b.Find the 7th term when the first term is -1 and the common difference is 10.
c.Find the 7th term when the first term is -1 and the common difference is 10.
d.Find the 11th term when the first term is -3 and the common difference is 4.

Answer:

x = 5

Step-by-step explanation:

10 * 7 = x * 14

10 * 7 = 70

14 * x = 14x

14x = 70

divide each side by 14

14x / 14 = x

70 / 14 = 5

we're left with x = 5

Answer:

4/18 is equivalent to 2/9

Answer:

See below.

Step-by-step explanation:

[tex]41.5 + 5x = 52.5\\5x = 11\\x = 2.2[/tex]

Answer:

41.5+5x=52.55x=11x=2.2

Answer:

A

Step-by-step explanation:

since it is on sale for 27%, multiply $28 by 70% (0.7) to find the total amount of money the shirt costs now that it is on sale (since it's on sale for 30% off)

$28*0.7=$19.60

Answer:

$19.60

Step-by-step explanation:

First, find 30% of $28.  :)

To do this, multiply 28 by 0.3. (30% is the same thing as 3/10 or 0.3)

28 x 0.3 = 8.4.

30% of 28 is 8.4.

Next, subtract $8.4 from $28. (Shirt on sale for 30% off)

28 - 8.4 = $19.60

Have a great day!

Answer:

75%

Step-by-step explanation:

3 students 70 inches or taller

9 students less than 70 inches

12 students total

9 ÷ 12 = 75%

Answer:

75/2197

or

.034137460172

Step-by-step explanation:

3/13 × 5/15 × 5/15 = 75/2197

hope this helps ^^

9514 1404 393

Answer:

  D.  2%  

Step-by-step explanation:

The growth rate can be found by looking at the growth factor of the exponential function.

  f(x) = (initial value) × (growth factor)^x

The growth rate is related by ...

  growth factor = growth rate + 1

This means the growth rate of f(x) is 1.04 -1 = 0.04 = 4%.

__

We can write the function g(x) describing the table as ...

  g(x) = (value at x=x1) × ((value at x=x2)/(value at x=x1))^((x-x1)/(x2-x1))

So, this could be ...

  g(x) = 31.21 × (32.47/31.21)^((x-2)/2) = a·b^x

     where b = (32.47/31.21)^(1/2) ≈ 1.02 . . . . growth factor

This means the growth rate for g(x) is 1.02 -1 = 0.02 = 2%.

__

Then the difference between the growth rates of the two functions is ...

  4% - 2% = 2% . . . . . matches choice D

Answer:

[tex]2(b - 9) \geqslant 26[/tex]

Step-by-step explanation:

difference of a number and 9 means to subtract

[tex]b - 9[/tex]

twice that means multiply by 2

[tex]2(b - 9)[/tex]

at least is greater than or equal to

[tex]2(b - 9) \geqslant 26[/tex]

Answer:

180 cm

Step-by-step explanation:

Number of trials per team = 3

Distance per trial for team D's car is the same for each trial, let distance = x

Distance per trial for team C's car is 1cm farther than team D's distance and the same for each trial, hence, distance = x + 1 per trial

Total distance traveled by C = 543 cm

This means :

(x + 1) + (x + 1) + (x + 1) = 543

3x + 3 = 543

3x = 543 - 3

3x = 540

x = 540 / 3

x = 180

Hence, distance traveled per trial for team D's car = x = 180 cm

Step-by-step explanation:

arc length for QT = 2× 71° = 142°

Answer: 6/10

Step-by-step explanation: The answer is 6/10 because: first you convert the 1/2 to tenths which would be 5/10. Then, you add 1/10 and 5/10 and you get 6/10 of the flags were either pink or orange.

Answer:

333.67

Step-by-step explanation:

trust

Answer: the first one

Step-by-step explanation:

Answer:

I believe the answer is A) y = 2/3x + 1

Step-by-step explanation:

The y-intercept is at 1 and the slope is up 2 over 3-- meaning A is the answer

I hope this helps :)

Answer:

You didn't add the value of the slope and y intercept. Don't think there's anything that can be done with the info you provided.

Answer:

1000 cm2

Step-by-step explanation:

Pretty sure

Answer:

Your answer is: 1000[tex]cm^{2}[/tex]

Step-by-step explanation:

Answer:

   a

25.  + 375a

Step-by-step explanation:

Answer: 25^a + 375a

Step-by-step explanation:

No,

[tex]9e + 2(e + 5) = 11e + 10[/tex]

And 11e + 10 is not equivalent to 11e + 5

Answer:

No, its not.

9e + 2(e+5)

= 9e + 2e + 10

= 11e + 10

---> 9e+2(e+5) when simplified gives 11e + 10.

---> Therefore, its not equal to 11e + 5

Answer:

0 -> 6 in frquency

1 -> 8 in frequency

2 -> 8 in frequency

3 -> 6 in frequency

4 -> 6 in frequency

5 -> 8 in frequency

6 -> 2 in frequency

7 -> 2 in frequency

Step-by-step explanation:

brainliest plz

Answer:

V ≈ 3367.6 cm³

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex] πr³ ( r is the radius )

Here D = 18.6 , then r = 18.6 ÷ 2 = 9.3 , so

V = [tex]\frac{4}{3}[/tex] × 3.14 × 9.3³

   = [tex]\frac{4}{3}[/tex] × 3.14 × 804.357

   = [tex]\frac{4(3.14)(804.357)}{3}[/tex]

   ≈ 3367.6 cm³ ( to the nearest tenth )

Answer:

x = 70.71

Step-by-step explanation:

log 2x² + 2 = 6.

log 2x² + log 100= log 10⁶.

2x² × 100 = 10⁶

2x² = 10⁶/100

2x² = 10⁴

x² = 10⁴/2

x² = 5000

x = √5000

x is approximately 70.71

x = 70.71

Answer:

-7, 1

Step-by-step explanation:

The roots of an equation are the answers to the equation, where the graph of the equation intersects the x-axis. One can see that the points at which the graph intersect the x-axis are the following,

(-7, 0) and (1, 0), therefore the roots to the equation are the following;

-7, 1

Answer:

it is 0.4

Step-by-step explanation:

Answer:

x = 21

Step-by-step explanation:

21 x 3 = 63 and 63 + 67 = 130 and sense there across from eachother this is correct because vertical angles are always the same measure.

Hope this helps!

Answer:

3^4 (3rd option)

:)

Answer:

the answer is optionc) 3 is to power 4 because

3 is to power 4 mean to multiply the whole number 3 itself 4 time which is 81,greater than 4ia to power 4

example

4 Is to power3=4×4×4=64

7 is to power 2 =49

5is to power 2=25

3 is to power 4 =81

2 is to power 5=32

therefore option c is greater than 4 is to power 3

Answer:

11 bicycles and 14 tricycles

Step-by-step explanation:

11 bicycles would be 22 wheels in total.

14 tricycles would be 42 wheels in total.

11 + 14 = 25 bikes and 22 + 42 = 64 wheels.