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2 years ago

How many terms in the sequence are less than 100?

Mathematics

1 answer:

Vaselesa [24]2 years ago

5 0

Answer:

Step-by-step explanation:

Since given, < 100.

So,

100 - 1 = 99

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What are the possible lengths of side Ab in a triangle which the given side lengths of 3 and 5 cm?

natali 33 [55]

Answer:

Plug this in a calculator and the answer will pop up.

Step-by-step explanation:

$\sqrt{5^{2} +3^{2}$

5 0

3 years ago

Can someone please help me factor and write the equations for these two problems ?

prisoha [69]

Answer:

Step-by-step explanation:

Asymptotes 3

g(x) = $\frac{3x}{x^2-3x-10}$

Factors of denominator will be,

x² - 3x - 10 = x² - 5x + 2x - 10

= x(x - 5) + 2(x - 5)

= (x + 2)(x - 5)

Therefore, factored form of g(x) will be,

g(x) = $\frac{3x}{(x + 2)(x - 5)}$

Asymptotes 4

h(x) = $\frac{(x-5)}{x^{2} + 14x + 40}$

= $\frac{x-5}{x^{2}+10x+4x+40}$

= $\frac{x-5}{x(x+10)+4(x+10)}$

= $\frac{x-5}{(x+10)(x+4)}$

5 0

3 years ago

Determine whether or not the vector field is conservative. if it is, find a function f such that f = ∇f. if the vector field is

amm1812

$\dfrac{\partial f}{\partial x}=3y^2z^3\implies f(x,y,z)=3xy^2z^3+g(y,z)$

$\dfrac{\partial f}{\partial y}=6xyz^3+\dfrac{\partial g}{\partial y}=6xyz^3$
$\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)$

$\dfrac{\partial f}{\partial z}=9xy^2z^2+\dfrac{\mathrm dh}{\mathrm dz}=9xy^2z^2$
$\implies\dfrac{\mathrm dh}{\mathrm dz}=0\implies h(z)=C$

$\implies f(x,y,z)=3xy^2z^3+C$

The potential function exists, so $\mathbf f$ is indeed conservative.

7 0

3 years ago

A sugar cookie recipe calls for 5 cups of flour for every 1 cups of sugar. If y y is the number of cups of flour and x x is the

RUDIKE [14]

Yy=5(xx)

works because lets say you need 3 cups of sugar. 3x5 is 15 which is exactly the number of cups of flour you would need

8 0

3 years ago

7k÷3=21. What is the value of k?

viva [34]

7k/3 = 21
x 3 x3
7k = 63
/7 /7
k = 9
(7(9)/3 = 21 = 63/3 = 21 = 21 = 21)

5 0

3 years ago

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