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2 years ago

Question 2 Fill-In-The-Blank Worth 3 points)

Mathematics

1 answer:

sergeinik [125]2 years ago

5 0

Answer:

1.4

Step-by-step explanation:

in the graph, the points are 14 points apart, when the step of the graph is set to .1, if you count, they're .14 point apart, or 1.4

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Write the ratio of the area of a circle with radius r to the circumference of the same circle

Goshia [24]

Answer:

$\frac{r}{2\pi r} =\frac{1}{2\pi }$

Step-by-step explanation:

A ratio is a comparison of two quantities and can be written in several forms including fractions. It is most commonly written in fraction form or a:b.

To write a ratio, we count the number of each quantity we are comparing or use the variable for that quantity. We write radius:circumference. Recall, the circumference of a circle can be found using $\pi d$ or $2\pi r$ .

We write r: $\pi d$ or r: $2\pi r$ .

We can also write in fraction form:

$\frac{r}{\pi d}$ or $\frac{r}{2\pi r} =\frac{1}{2\pi }$

6 0

3 years ago

Find the area of the shape below. Plz help!!!

skelet666 [1.2K]

Answer:

A = 108 units²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = $\frac{1}{2}$ h (b₁ + b₂ )

where h is the height between the 2 bases and b₁, b₂ are the parallel bases

Here h = 24 , b₁ = 8 , b₂ = 1 , then

A = $\frac{1}{2}$ × 24 × (8 + 1) = 12 × 9 = 108 units²

5 0

2 years ago

Given the functionf ( x ) = x^2 + 7 x + 10/ x^2 + 9 x + 20

vladimir1956 [14]

<em>x = -4 is a vertical asymptote for the function.</em>

<h2>Explanation:</h2>

The graph of $y=f(x)$ is a vertical has an asymptote at $x=a$ if at least one of the following statements is true:

$1) \ \underset{x\rightarrow a^{-}}{lim}f(x)=\infty\\ \\ 2) \ \underset{x\rightarrow a^{-}}{lim}f(x)=-\infty \\ \\ 3) \ \underset{x\rightarrow a^{+}}{lim}f(x)=\infty \\ \\ 4) \ \underset{x\rightarrow a^{+}}{lim}f(x)=\infty$

The function is:

$f(x)=\frac{x^2+7x+10}{x^2+9x+20}$

First of all, let't factor out:

$f(x)=\frac{x^2+5x+2x+10}{x^2+5x+4x+20} \\ \\ f(x)=\frac{x(x+5)+2(x+5)}{x(x+5)+4(x+5)} \\ \\ f(x)=\frac{(x+5)(x+2)}{(x+5)(x+4)} \\ \\ f(x)=\frac{(x+2)}{(x+4)}, \ x\neq 5$

From here:

$\bullet \ When \ x \ approaches \ -4 \ on \ the \ right: \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(x+2)}{(x+4)}=? \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(-4^{+}+2)}{(-4^{+}+4)} \\ \\ \\ The \ numerator \ is \ negative \ and \ the \ denominator \\ is \ a \ small \ positive \ number. \ So: \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(x+2)}{(x+4)}=-\infty$

$\bullet \ When \ x \ approaches \ -4 \ on \ the \ left: \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(x+2)}{(x+4)}=? \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(-4^{-}+2)}{(-4^{-}+4)} \\ \\ \\ The \ numerator \ is \ a \ negative \ and \ the \ denominator \\ is \ a \ small \ negative \ number \ too. \ So: \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(x+2)}{(x+4)}=+\infty$

Accordingly:

$x=-4 \ is \ a \ vertical \ asymptote \ for \\ \\ f(x)=\frac{x^2+5x+2x+10}{x^2+5x+4x+20}$

<h2>Learn more:</h2>

Vertical and horizontal asymptotes: brainly.com/question/10254973

#LearnWithBrainly

5 0

3 years ago

Emily is picking strawberries at a speed of 3 strawberries per second. Her little sister Sophia joins Emily when there are 20 st

Zina [86]

Answer:

6 seconds

Step-by-step explanation:

Using the information from the problem, if Emily continues to pick 3 strawberries per second while Sophia eats 5 strawberries per second, then the amount of strawberries will decrease at a rate of 2 strawberries per second. Therefore, we can find the answer by subtracting 2 from 20 until we get to 8. Since we subtract 2 six times, the answer is 6. Hope this makes sense!

6 0

3 years ago

Read 2 more answers

Which statement describes the relationships between x and y in these two equations?

Maru [420]

B) In y = 25x, the value of y is 25 times the value of x, and in y = x + 25, the value of y is 25 more than the value of x.

Out of all the answer choices, b makes the most sense.

25x can be translated as 25 times x.

x + 25 can be translated as 25 more than a number.

Hope this helps!

4 0

2 years ago