what is the 50th term in the arithmetic sequence -6,-1,4...?

Answer:

true

Step-by-step explanation:

its TRUE :)

Answer:

False

Step-by-step explanation:

Take a=-1 and b=-1/7

-3+-15/7=-36/7 which is not divisible by 3. There are several other examples which I don't even need to prove

Answer:

x = 12

Step-by-step explanation:

We know that the integers are consecutive. This means that they can be written as:

x, x + 1, and x+2.

First Integer: x

Second Integer: x + 1

Third Integer: x + 2

It is also given that the sum of the first integer and twice the second is 80 minus three times the third.

Write as an equation:

First Integer + 2(Second Integer) = 80 - 3(Third Integer)

Substitute:

x + 2(x+1) = 80 - 3(x+2)

Multiply:

x + 2x + 2 = 80 - 3x - 6

Simplify:

3x + 2 = 74 - 3x

Add 3x to both sides of the equation:

6x + 2 = 74

Subtract 2 from both sides of the equation:

6x = 72

Divide both sides of the equation by 6:

x = 12

Let me know if you have any questions about my explanation!

Answer:

Step-by-step explanation:

According to question ,

• First Integer → x

• Second Integer → x + 1

• Third Integer → x + 2

Now question says that the sum of the first and twice the second is 80 minus three times the third that means ,

→ x + 2 ( x + 1 ) = 80 - 3 ( x + 2 )

→ x + 2x + 2 = 80 - 3x - 6

→ 3x + 2 = -3x + 74

→ 3x + 3x = 74 - 2

→ 6x = 72

→ x = 72/6

→ x = 12

Hence , value of x is 12 that means :

→ x = First Integer = 12

→ x + 1 = Second Integer = 13

→ x + 2 = Third Integer = 14

In all of these x is the smallest integer and hence 12 is the correct answer .

Answer:

$4400

Step-by-step explanation:

Total earnings = $1038

Base salary = $675

What part of the total earnings was from the commission?

$1038 - $675 = $363

She made $363 in commissions.

The commissions are 8.75% of the sales.

Let sales = x.

8.25% of x = $363

0.0825x = 363

Divide both sides by 0.0825

x = 4400

Answer: Her sales were $4400

Answer:

point zero zero three eight three

Answer: three thousandths

Step-by-step explanation:

hope this helped

Answer:

Tony spent $101.

Step-by-step explanation:

11*6 = 66

7*5 = 35

66+35 = 101

Answer:

C = 62.8 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

r = 10 cm

Step 2: Find C

Answer:

62.8

Step-by-step explanation:

Radius is 10, so the diameter is 20 (10x2)

20 x 3.14(pi)= 62.8

Answer:

Sarah paid 25 cents for each individual pen

Step-by-step explanation:

Answer:

she paid .25 cents for each

Step-by-step explanation:

1.00÷4=.25

Here is the full question:

[tex]The \ shell \ of \ the \ land \ snail \ Limocolaria \ martensiana \ has \ two \ possible \ color[/tex][tex]forms: \ streaked \ and \ pallid. \ In \ a \ certain \ population \ of \ these \ snails, \ 60\% \ o f \ the[/tex][tex]individuals \ have \ streaked \ s hells.\ 16 \ Suppose \ that \ a \ random \ sample \ of \ 10 \ snails[/tex][tex]is \ to \ be \ chosen \ from \ this \ population. \ F ind \ the \ probabilit y \ that \ the \ percentage \ of[/tex]

[tex]streaked-shelled \ snails \ in \ t he \ sample \ will \ be[/tex]

[tex](a) 50\%. \ (b) 60\%. \ (c) 70\%.[/tex]

Answer:

(a) 0.2007

(b) 0.2510

(c) 0.2150

Step-by-step explanation:

Given that:

The sample size = 10

Sample proportion= 60% 0.6

Let X represents the no of streaked-shell snails.

[tex]X \sim Binom (n =1 0, p = 0.60)[/tex]

The Probability mass function (X) is:

[tex]P(X =x)= (^n_x) p^x(1-p)^{n-x}; x = 0,1,2,3...[/tex]

The Binomial probability with mean μ = np

= 10 * 0.6

= 6

Standard deviation σ = [tex]\sqrt{np(1-p)}[/tex]

= [tex]\sqrt{10*0.6*(1-0.6)}[/tex]

= 1.55

The probability that the percentage of the streaked-shelled snails in the sample will be:

a)

[tex]P(X = 0.5) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]

[tex]= ^{10}^C_5 * (0.6)^5(1-0.6)^{10-5}[/tex]

[tex]= \dfrac{10!}{5!(10-5)!} * (0.6)^5(1-0.6)^{10-5}[/tex]

= 0.2007

b)

[tex]P(X = 0.6) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]

[tex]= ^{10}^C_6 * (0.6)^6(1-0.6)^{10-6}[/tex]

[tex]= \dfrac{10!}{6!(10-6)!} * (0.6)^6(1-0.6)^{10-6}[/tex]

= 0.2510

c)

[tex]P(X = 0.7) = ^nC_x p^x (1 -p) ^{(n-x)}[/tex]

[tex]= ^{10}^C_7 * (0.6)^7(1-0.6)^{10-7}[/tex]

[tex]= \dfrac{10!}{7!(10-7)!} * (0.6)^7(1-0.6)^{10-7}[/tex]

= 0.2150

Answer:

4 + 2g

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

2(2 + g)

Step 2: Expand

Step-by-step explanation:

not sure about this one sorry cant help ya but i do have a hint its B

Answer:

D is the answer

Step-by-step explanation:

Answer:

y= 5.33333

Step-by-step explanation:

i think this is right DON'T MARK BRAILIST

Answer:

For f(x) to be differentiable at 2, k = 5.

Step-by-step explanation:

For f(x) to be differentiable at x = 2, f(x) has to be continuous at 2.

For f(x) to be continuous at 2, the limit of f(2 – h) = f(2) = f(2 + h) as h tends to 0.

Now,

f(2 – h) = 2(2 – h) + 1 = 4 – 2h + 1 = 5 – 2h.

As h tends to 0, lim (5 – 2h) = 5

Also

f(2 + h) = 3(2 + h) – 1 = 6 + 3h – 1 = 5 + 3h

As h tends to 0, lim (5 + 3h) = 5.

So, for f(2) to be continuous k = 5

Answer:

growth

140%

Step-by-step explanation:

The function f(x) is an exponential growth function as f(x) increases when x increases.

The percent rate of change of the function f(x) is 201.6%.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = 0.6 [tex](2.4)^x[/tex]

For x = 1,

f(1) = 0.6 x 2.4 = 1.44

For x = 2,

f(2) = 0.6 x 2.4² = 0.6 x 5.76 = 3.456

For x = 3,

f(3) = 0.6 x 2.4³ = 0.6 x 18.824 = 8.2944

We see that,

As the value of x increases, the value of f(x) increases.

f(x) is an exponential growth function.

Now,

The percentage rate of change of function f(x).

= (f(2) - f(1)) / (2 - 1) x 100

= (3.456 - 1.44) x 100

= 2.016 x 100

= 201.6 %

Thus,

f(x) is an exponential growth function.

f(x) percent rate of change is 201.6%

Learn more about functions here:

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Answer:

25 kilometers

Step-by-step explanation:

Answer:

5:7

hope it helps........

Answer:

Choice c. [tex]\sqrt{12}[/tex]

Step-by-step explanation:

Vectors

Suppose we have a vector v defined as

[tex]\vec v=a\mathvf{i}+b\mathvf{j}[/tex]

The magnitude of the vector is:

[tex]\mid\mid\vec v\mid\mid=\sqrt{a^2+b^2}[/tex]

On the other hand, the dot product of the vector by itself is:

[tex]\vec v\cdot\vec v=a*a+b*b=a^2+b^2[/tex]

Note the relation between these two operations is:

[tex]\mid\mid\vec v\mid\mid=\sqrt{\vec v\cdot\vec v}[/tex]

Since we are given:

[tex]\vec v\cdot\vec v=12[/tex], then:

[tex]\mid\mid\vec v\mid\mid=\sqrt{12}[/tex]

Choice c) [tex]\sqrt{12}[/tex]

Answer:

9/2

5/3

13/4

3/2

Step-by-step explanation:

Answer:

8 posts total  on both the 16 ft. sides(there are 4 sides to a rectangle), 12 posts on both the 24 ft. sides(there are 4 sides to a rectangle)

Step-by-step explanation:

they are spaced 4 ft apart. Jody will need 20 total posts.

Answer:

You have to divide the total sales by 8 percent. 32,000/ 0.8 =40,000

So your answer is 40,000.

Step-by-step explanation:

Answer:

4060

Step-by-step explanation:

8/100(32000)+1500=4060

Answer:

Only B is linear

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:hope it helped

Step-by-step explanation:

c answer

Answer:

[tex]a_{n} = \frac{n}{(n +1)^{2}}[/tex]

Step-by-step explanation:

[tex]a_{n} = \frac{n}{(n +1)^{2}}[/tex]

[tex]a_{1} = \frac{1}{(1 +1)^{2}} = \frac{1}{2^{2}} = \frac{1}{4}\\\\a_{2} = \frac{2}{(1 +2)^{2}} = \frac{2}{3^{2}} = \frac{2}{9}\\\\a_{3} = \frac{3}{(1 +3)^{2}} = \frac{3}{4^{2}} = \frac{3}{16}\\[/tex]

Answer: Rectangle

Reasoning: 4 straight sides, 2 pairs of sides of equal length.

Answer:

6/7

Step-by-step explanation:

1 x 7/6 x 6/7 = 1

A scale factor of 6/7 would shrink the dilated figure back to its original size.

To return the dilated figure back to its original size, you would need to use a scale factor that is the reciprocal of the original dilation scale factor. The reciprocal of a fraction is obtained by flipping the numerator and denominator.

Given the original dilation scale factor of 7/6, the scale factor that would shrink the dilated figure back to the original size is:

Reciprocal of 7/6 = (6/7)

So, using a scale factor of 6/7 would shrink the dilated figure back to its original size.

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Answer:

A

Step-by-step explanation:

Answer: 24xy

I'm not sure if I'm right, but if I am and you have any questions about how it was solved, feel free to ask!! :)