All categories

3 years ago

Is 2,-5,-12,-19,-26 an arithmetic sequence

Mathematics

2 answers:

Mariulka [41]3 years ago

8 0

Yes!
-5 - 2 = -7;
-12 - (-5) = -7;
-19 -(-12) = -7;
-26 -(-19) = -7.

ExtremeBDS [4]3 years ago

4 0

Answer:

subtract 7 each time

Step-by-step explanation:

You might be interested in

Rebecca makes an A in a 4-credit math course , a B in a 3-credit English course, a C in a 3-credit science course, a B in the as

Elan Coil [88]

Answer: b

Step-by-step explanation: krusty crab pizza is the pizza for you and me

4 0

3 years ago

For the functions f(x)=2x^2+3x+9 and g(x)=−3x+10 find (f⋅g)(x) and (f⋅g)(1)

pashok25 [27]

Step-by-step explanation:

f(x)=2x²+3x+9

g(x) = - 3x + 10

In order to find (f⋅g)(1) first find (f⋅g)(x)

To find (f⋅g)(x) substitute g(x) into f(x) , that's for every x in f (x) replace it by g (x)

We have

(f⋅g)(x) = 2( - 3x + 10)² + 3(- 3x + 10) + 9

Expand

(f⋅g)(x) = 2( 9x² - 60x + 100) - 9x + 30 + 9

= 18x² - 120x + 200 - 9x + 30 + 9

Group like terms

(f⋅g)(x) = 18x² - 120x - 9x + 200 + 30 + 9

(f⋅g)(x) = 18x² - 129x + 239

To find (f⋅g)(1) substitute 1 into (f⋅g)(x)

That's

(f⋅g)(1) = 18(1)² - 129(1) + 239

= 18 - 129 + 239

We have the final answer as

Hope this helps you

3 0

3 years ago

Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min, and its coarseness is such that it forms a pile in the shap

pogonyaev

Answer:

Rate of increase in height = $\frac{dh}{dt}=0.3156ft/min$

Step-by-step explanation:

we know that volume of a cone is given by

$V=\frac{1}{12}\pi d^{2}h$

It is Given that diameter equals height thus we have

$V=\frac{1}{12}\pi h^{2}h\\\\V=\frac{1}{12}\pi h^{3}$

Differentiating both sides with respect to time we get

$\frac{dV}{dt}=\frac{1}{12}\pi \frac{dh^{3}}{dt}\\\\\frac{dV}{dt}=\frac{1}{12}\pi(3h^{2}\frac{dh}{dt})$

Applying values and solving for $\frac{dh}{dt}$ we get

$\frac{dh}{dt}=\frac{12\frac{dV}{dt}}{3\pi h^{2}}\\\\\frac{dh}{dt}=0.3156ft/min$

8 0

3 years ago

Multiplying Polynomials//<br><br> Multiply- <br> 12x^4 (-5/6x^3y^2)

ElenaW [278]

$12 x^{4} * (- \frac{5}{6} x^{3} y^{2})$
Now multiple the coefficients and add the exponents with common bases
$12 * - \frac{5}{6} = -10 \\ x^{4} + x^{3} = x^{7}$
Now write your final expression
$-10 x^{7} y^{3}$
Hope I helped!

6 0

3 years ago

A publishing company creates a book for young children. To find the number of pictures on the page, the book says to multiply th

Eddi Din [679]

Answer:

Step-by-step explanation:

B is the only choice that has both all of the steps, and all of the steps in the right order.

5 0

2 years ago