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3 years ago

To the nearest tenth of a centimeter, what is the circumference of a circle with a radius of 2.5 cm?

Mathematics

1 answer:

IceJOKER [234]3 years ago

4 0

The answer is C≈15.71cm

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What expressions are equivalent to 10x + 30x?

Yuri [45]

Answer:

5(2x+6x) and 10(x+3x)

Step-by-step explanation:

because the three results 40x

7 0

3 years ago

Please help asap

vichka [17]

Answer:

multiplication prop of equality, (multiplying both sides by 6)

simplifying, (not distrib prop as there is no parentheses)

Addition prop of equality, (adding 18 to each side)

simplifying

5 0

3 years ago

Find an equation of the slant asymptote. Do not sketch the curve. y = 5x4 + x2 + x x3 − x2 + 5

murzikaleks [220]

Answer:

The slant asymptote is $y=5 x + 5$ .

Step-by-step explanation:

Line $y=mx+b$ is a slant asymptote of the function $y=f{\left(x \right)}$ , if either $m=\lim_{x \to \infty}\left(\frac{f{\left(x \right)}}{x}\right)=L$ or $m=\lim_{x \to -\infty}\left(\frac{f{\left(x \right)}}{x}\right)=L$ , and L is finite.

We want to find the slant asymptotes of the function

$f(x)=\frac{5 x^{4} + x^{2} + x}{x^{3} - x^{2} + 5}$

First, do polynomial long division

$\frac{5 x^{4} + x^{2} + x}{x^{3} - x^{2} + 5}=5 x + 5+\frac{6 x^{2} - 24 x - 25}{x^{3} - x^{2} + 5}$

Next, we use the above definition,

The first limit is

$\lim_{x \to \infty}\left(\frac{6x^2-24x-25}{x^3-x^2+5}\right)=0$

The second limit is

$\lim_{x \to -\infty}\left(\frac{6x^2-24x-25}{x^3-x^2+5}\right)=0$

The rational term approaches 0 as the variable approaches infinity.

Thus, the slant asymptote is $y=5 x + 5$ .

8 0

3 years ago

A recipe that would make 18 cupcakes

stiv31 [10]

Answer:

Hello there,

Let's solve,

It takes 4tsp for 18 cupcakes

thus for 1tsp it'll be,

= 18/4

= 4 and a half cupcake

That is one teaspoon of vanilla is needed for 4 and a half cupcakes.

All the best!

8 0

3 years ago

Which of the following linear equations represents the data chart?

BlackZzzverrR [31]

Answer: y = -x + 7

Step-by-step explanation:

The slope is $\frac{5-6}{2-1}=-1$ , so we know the equation is of the form $y=-x+b$ .

Substituting in the coordinates (1,6) to find b,

$6=-1+b\\\\b=7$

Thus, the equation is y = -x + 7

4 0

2 years ago