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3 years ago

1. Which of the following has a value of 24?

Mathematics

2 answers:

qwelly [4]3 years ago

7 0

Answer:

Step-by-step explanation:

v121 +13

Alja [10]3 years ago

6 0

D has a value of 24.
V121 is 11, so 13 + 11 is 24

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Establish for which constants c the following function is a density.

Valentin [98]

By "density" I assume you mean "probability density function". For this to be the case for $f(x)$ , we require

$\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=1$

Since

$f(x)=\begin{cases}cx^{1/2}&\text{for }0$

you have

$\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=\int_0^2cx^{1/2}\,\mathrm dx=\dfrac{2c}3x^{3/2}\bigg|_{x=0}^{x=2}=\dfrac{2^{5/2}c}3=1$

which means

$c=\dfrac3{2^{5/2}}=\dfrac3{4\sqrt2}$

7 0

3 years ago

Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha

Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

$a = 20$ --- tree distance from north gate

$b =14$ --- movement from south gate

$c = 1775$ --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

$\triangle ADE \sim \triangle ACB$ --- similar triangles

So, we have the following equivalent ratios

$AE:DE = AB:CB$

Where:

$AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775$

Substitute these in the above equation

$20:x/2 = 20 + x + 14: 1775$

$20:x/2 = x + 34: 1775$

Express as fraction

$\frac{20}{x/2} = \frac{x + 34}{1775}$

$\frac{40}{x} = \frac{x + 34}{1775}$

Cross multiply

$x *(x + 34) = 1775 * 40$

Open bracket

$x^2 + 34x = 71000$

Rewrite as:

$x^2 + 34x - 71000 = 0$

Expand

$x^2 + 284x -250x - 71000 = 0$

Factorize

$x(x + 284) -250(x + 284)= 0$

Factor out x + 284

$(x - 250)(x + 284)= 0$

Split

$x - 250 = 0 \ or\ x + 284= 0$

Solve for x

$x = 250 \ or\ x =- 284$

x can't be negative;

So:

$x = 250$

6 0

3 years ago

Karin predicts that she will spend 48 minutes biking and 24 minutes running p. What is the total distance of the race

Digiron [165]

72 all you have to do is add the 2 times.

5 0

3 years ago

Read 2 more answers

Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year.

Ket [755]

Answer:

The correct answer is C) f(x) = 1,200(0.97)/\x

Step-by-step explanation:

Hope this helps! :)

4 0

3 years ago

Which of the following pairs of triangles can be proven similar through SSS similarity?

Yakvenalex [24]

Based on the SSS similarity theorem, the pair of triangles that can be proven to be similar is the pair shown in the image attached below.

<h3>What is the SSS Similarity Theorem?</h3>

The SSS similarity theorem states that two triangle area similar to each other if the ratio of the three corresponding sides of both triangles are equal.

Thus, in the image attached below, the ratio of the three corresponding sides of the pair of triangles are:

10/2.5 = 11/2.75 = 8/2 = 4

Therefore, the pair of triangles that we can prove to be similar using the SSS similarity theorem is the pair shown in the image attached below.

Learn more about the SSS similarity theorem on:

brainly.com/question/4163594

#SPJ1

5 0

2 years ago