find the next term is in the explicit and recursive rule for the in term of the sequence. NO LINKS!!!
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35 is the sum of the first five triangular numbers, making it a tetrahedral number. 35 is the number of ways that three things can be selected from a set of seven unique things also known as the "combination of seven things taken three at a time". ... 35 is the highest number one can count to on one's fingers using base 6.

Answer:

12.56 m

Step-by-step explanation:

If the radius is 2, the the diameter will be 4 since the diameter = 2 radius. Next, you will multiply 3.14 * 4 to get your answer:

12.56 m

Answer:

Slope = [tex]-\frac{3}{14}[/tex]

Step-by-step explanation:

We know that:

X₁ = -3

Y₁ = 5

X₂ = 11

Y₂ = 2

And the formula of the slope is:

Slope = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Therefore:

Slope = [tex]\frac{2-5}{11-(-3)}[/tex]

Slope = [tex]-\frac{3}{14}[/tex]

Hope this helps!

Answer:

B, [tex]-\frac{3}{14}[/tex]

Step-by-step explanation:

Use the equation below:

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Insert the values, with the first equation being equation 1 and the second equation being equation 2.

[tex]\frac{2-5}{11-(-3)}\\[/tex]

[tex]\frac{-3}{14}\\[/tex]

[tex]-\frac{3}{14}[/tex]

Answer:

7.32 inches

Step-by-step explanation:

The circumference of the circle is 46 inches, and you just have to find the radius... you do the 2xpixr=C backwards. So 2xpixr=46 simplify the expression; 6.28xr=46 then divide... r=46/6.28... Which rounds to 7.32 inches as the radius.

(And yes you are finding the radius if you are finding a line from the middle of the circle to an edge)

I hope this helps :))

Answer:

1/8*1/3^3

1/8*1/27

1/216

Step-by-step explanation:

just bring 3^-3 down then it will be positive.when u do so it will be1/3^3 .

Answer:45.5

Step-by-step explanation:

Answer:

show a graph?

Step-by-step explanation:

Vision: If I lacked my vision it would affect my everyday day life because if I can not see then I won't be able to do everyday day things. For example if I go shopping I wouldn't be able to see the color or style of what it  looks like.

Smell: If I lacked smell it wouldn't really affect me but if I were to buy a perfume I wouldn't know if it smells good then if it doesn't I would be the one who would end up smelling bad.

Touch: If I weren't able to pick things up anything my live would be extremely hard because I wouldn't be able to pick up anything.

Taste: If I lost my taste it wouldn't affect me at all I would just be mad I can't taste all my favorite foods.

Hearing: If I couldn't hear it would be hard because if someone were to shout out because a car is coming etc. I wouldn't know and get hit and I don't want that so it would be really hard to not hear.

Hope this helps :)

Answer:

The completed reaction is

CaCO3 + 2 HCl → (Ca+2 + 2 Cl-)aq + H2O + CO2↑

Answer: -1.1 , 2.4 , 1.51

Step-by-step explanation:

Answer:

8.50

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The usual rules of rounding apply. If the digit in the 4th decimal place is 5 or more, then 1 is added in the 3rd decimal place. The roots are found using your calculator. The first 4 digits of the repeating decimal are clearly visible already.

a) √51 ≈ 7.141428... ≈ 7.141

b) 0.1326_26 ≈ 0.133

c) ∛971 ≈ 9.90238... ≈ 9.902

_____

Additional comment

The repeating decimal is equivalent to the fraction 1313/9900.

Answer:

The median is going to be 7

9514 1404 393

Answer:

  3433 m^2

Step-by-step explanation:

The total surface area is the sum of the end areas and the lateral area.

The end areas together are a circle of diameter 0.4 m and two rectangles that are 0.4 m by 0.55 m.

  End areas = πr^2 + 2LW = 3.14(0.2 m)^2 + 2(0.4 m)(0.55 m)

  = 0.1256 m^2 +0.44 m^2 = 0.5656 m^2

The perimeter of the end piece is half the circumference of a 0.4 m circle and three sides of a 0.4 m by 0.55 m rectangle.

  P = (1/2)πd + 2L +W = 1/2·3.14·0.4 m + 2(0.55 m) + 0.4 m = 2.128 m

The lateral area of the mailbox is the product of its length and the perimeter of the end piece:

  LA = PL = (2.128 m)(0.6 m) = 1.2768 m^2

Then the total surface area of the mailbox is ...

  0.5656 m^2 + 1.2768 m^2 = 1.8424 m^2

__

The area of aluminum required for 1863 mailboxes is ...

  1863 × 1.8424 m^2 ≈ 3433 m^2

About 3433 square meters of aluminum are needed to make these mailboxes.

Answer:

here's the Answer...see that

Step-by-step explanation:

Answer:

Percentage increase in the cost of his train ticket = 3% (Approx.)

Step-by-step explanation:

Given:

Cost of annual ticket paid by Patrick last year = £2,534

Cost of annual ticket paid by Patrick current year = £2,612

Find:

Percentage increase in the cost of his train ticket

Computation:

Percentage increase = [(Current - Base) / Base]100

Percentage increase in the cost of his train ticket = [(2,612 - 2,534) / 2,534]100

Percentage increase in the cost of his train ticket = [(78) / 2,534]100

Percentage increase in the cost of his train ticket = [0.03078]100

Percentage increase in the cost of his train ticket = 3.078

Percentage increase in the cost of his train ticket = 3% (Approx.)

Step-by-step explanation:

Given :-

And we need to find the slope intercept form of the line . The slope intercept form of a line is y = mx + c , where m is the slope and c is the y intercept. Substitute respective values ,

Solution 1 :-

[tex]:\implies[/tex] y = mx + c

[tex]:\implies[/tex] y = 1/4 x + 4

[tex]:\implies[/tex] 4y = x + 16

[tex]:\implies[/tex] x - 4y + 16 = 0

Solution 2 :-

[tex]:\implies[/tex] y - 5 = -4( x +1)

[tex]:\implies[/tex] y -5 = -4x -4

[tex]:\implies[/tex] y = -4x +1

Answer:

Your solution is (-10/7, 92/7)

Step-by-step explanation:

12x + y = -4

y = 2x + 16

To use substitution, we want to plug one variable's equation into the other equation.

We can see that y is already solved for us. Plug y into the first equation.

12x + y = -4

12x + (2x + 16) = -4

Combine like terms.

14x + 16 = -4

Subtract 16 from both sides.

14x = -20

Divide both sides by 14.

x = -20/14

x = -10/7

Now that we know x, we will plug it into one of the other equations.

y = 2x + 16

y = 2(-10/7) + 16

Multiply.

y = -20/7 + 16

Add.

y = -20/7 + 112/7

y = 92/7

Your solution is (-10/7, 92/7)

Hope this helps!

Answer:

-8, 2, 15

Step-by-step explanation:

For a function each input value can have one and only one output value

Therefor -17, -2, 5, 8 cannot be input values because they already have output values other than 9

Valid inputs are

-8, 2, 15

(A) delta h(t) = 32

Step-by-step explanation:

Average rate of change delta h(t) is given by

[tex]delta \: h(t) = \frac{h(b) - h(a)}{b - a} [/tex]

at t = 0, h(0) = 80

at t = 2, h(2) = -16(4) + 64(2) + 80 = 144

Plugging in the numbers

delta h(t) = (144 - 80)/(2 - 0)

= 32

Answer:

207.5 is the answer.

Step-by-step explanation:

Add up the numbers (207 + 208) = 415.

Then divide how many numbers, since the problem gives us 2 numbers, you divide 415 by 2.

That is how you find the mean.

Answer:

3^12

Step-by-step explanation:

Answer:

3^12

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

If DEF has 2 bottom pieces that are both 6 which is equal to 12 then you just add 4+4 because both of the pieces on ABC are 4 and so 8 is your answer.

Answer:

Cellular respiration is the process responsible for converting chemical energy, and the reactants/products involved in cellular respiration are oxygen, glucose (sugar), carbon dioxide, and water. While the exact steps involved in cellular respiration may vary from species to species, all living organisms perform some type of cellular respiration.

Step-by-step explanation:

Answer:

C. H 0 : μ = 7 vs. Ha : μ ≠ 7

Since the calculated value of t = -9.462 falls in the critical region  t ≤-2.048

We conclude that the  springtime water the tributary water basin around the Shavers Fork watershed is not neutral. We accept our alternate hypothesis and reject the null hypothesis.

Step-by-step explanation:

The null hypothesis the usually the test to be performed. Here we want to check whether the water is neutral or not. Neutral water must have a pH of 7 . This can be stated as the null hypothesis. And the claim is treated as the alternate hypothesis that water in not neutral or not having pH= 7

In symbols it will be written as

H0: : μ = 7 vs. Ha : μ ≠ 7

So choice C is the best option for this hypothesis testing.

Let the significance level be 0.05

The degrees of freedom = n-1= 29-1 = 28

The critical value is  t ≥ 2.048 and t ≤ - 2.048 for 0.05 two tailed test with 28 df.

The test statistic to use is t- test

t= x- u/ s/√n

The total sum is 170.9 and mean = x= 5.893

The u = 7

And the sample standard deviation is =s= 0.63

Putting the values

t= 5.893-7/0.63/√29

t= - 1.107/0.11699

t= -9.4623

Since the calculated value of t = -9.462 falls in the critical region  t ≤-2.048

We conclude that the  springtime water the tributary water basin around the Shavers Fork watershed is not neutral. We accept our alternate hypothesis and reject the null hypothesis.

Answer:

I quite strongly believe that the first option is the correct one since the following applies,

19/20

20*5=100

and

19*5=95

which in the end is equivalent to 95/100

Answer:

C) At the 95% confidence level, the estimate of 0.48 is within 0.02 of the true proportion of county residents in favor of larger school zones in that county.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

95% CI between 0.48 - 0.02 = 0.46 and 0.48+0.02 = 0.5.

The interpretation is that we are 95% sure that the true population proportion is in this interval, that is, with 95% confidence, the estimate is within 0.02 of the true proportion, and so the correct answer is given by option C.