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zhenek [66]
3 years ago
7

What is the Measure of angle Y

Mathematics
2 answers:
Lisa [10]3 years ago
5 0

Answer:

As the measures of the interior angles of all triangles add to equal 180 degrees

Step-by-step explanation:

Sholpan [36]3 years ago
5 0

Answer:

Section 1  

00:00:00

TEACHER: No, this is my banana. You already had a banana. You're not getting another one. Just hang out for a second. I got some students to teach. All right, take a look at this monkey here. You know this cute little guy as an animal.  

00:00:12

But how do you really know it's an animal? What characteristics make it an animal but not the tree that it's hanging on? Well, that's what we're going to talk about in this lesson as we work to answer the lesson question which is-- how are animals distinguished from other living things? In a moment, we'll take a look at your lesson goals but I'm going to eat this banana first.  

Section 2  

00:00:00

TEACHER: Before beginning any lesson, it's important to take a look at your lesson goals because it gets your mind thinking about what you're going to be learning. As we explore the animal kingdom, we are going to examine the characteristics that are common to most animals. We'll identify the main functions  

00:00:15

that allow animals to meet their basic needs. And we'll compare and contrast the characteristics of invertebrate and vertebrate animals. Now look at the screen here. There are a lot of words for you to know. We have asymmetry, bilateral symmetry, heterotroph, invertebrate, radial symmetry, vertebrae, and vertebrate. Now again, these are all important science words so now  

00:00:41

would be a great time to hit that pause button on your computer, tablet, phone-- whatever you're using-- and write these words down. Even go ahead and take a look at their definitions in your glossary because I'm about to start the lesson right about now. I would like to begin by talking to you about the classification of living things.  

00:01:01

And you might recall that there are three domains of life. There's bacteria, archaea, and eukarya. The bacteria and archaea domains both contain prokaryotes, which are organisms whose cells lack nuclei. So let me write prokaryotes here. There we go. Also, keep in mind that these two domains,  

00:01:28

they differ in structure and chemical makeup. And then we have the domain eukarya. The domain eukarya contains organisms whose cells contain nuclei. Therefore, these organisms are eukaryotes. And I'm going to write eukaryotes here. Aha.  

00:01:51

Also, this domain is divided into four kingdoms that include protists-- let me put a 1 here-- plants, fungi, and, finally, animals. In this lesson, we're going to talk about the animal kingdom. Well, the name of the kingdom is actually animalia, which is where the word animal comes from.  

Overview of Animals

Step-by-step explanation:

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The profit function for the first version of the device was very similar to the profit function for the new version. As a matter
NeTakaya

Answer:

a) - Compressing the P(new) function by a scale of 0.5 about the y axis.

- Moving the P(new) function down by 104 units.

b) The two simplified functions for P(original)

-0.08x² + 10.8x – 200.

-0.16x² + 21.6x – 504.

Step-by-step explanation:

Complete Question

An electronics manufacturer recently created a new version of a popular device. It also created this function to represent the profit, P(x), in tens of thousands of dollars, that the company will earn based on manufacturing x thousand devices: P(x) = -0.16x² + 21.6x – 400.

a. The profit function for the first version of the device was very similar to the profit function for the new version. As a matter of fact, the profit function for the first version is a transformation of the profit function for the new version. For the value x = 40, the original profit function is half the size of the new profit function. Write two function transformations in terms of P(x) that could represent the original profit function.

b. Write the two possible functions from part a in simplified form.

Solution

The equation for the new profit function is

P(x) = -0.16x² + 21.6x – 400

At x = 40, the original profit function is half the size of the new profit function

First, we find the value of the new profit function at x = 40

P(x) = -0.16(40)² + 21.6(40) – 400 = 208

Half of 208 = 0.5 × 208 = 104

P(original at x = 40) = P(new at x = 40) ÷ 2

Since we are told that P(original) is a simple transformation of the P(new)

P(original) = P(new)/2 = (-0.16x² + 21.6x – 400)/2 = -0.08x² + 10.8x – 200 ... (eqn 1)

Or, P(original) = 104

-0.16x² + 21.6x – 400 = 104

P(original) = -0.16x² + 21.6x – 400 - 104 = -0.16x² + 21.6x – 504.

So, the two functions that are simple transformations of P(new) to get P(original) are

-0.08x² + 10.8x – 200

Obtained by compressing the P(new) function by a scale of 0.5 about the y axis.

And

-0.16x² + 21.6x – 504.

Obtained by moving the P(new) function down by 104 units.

Hope this Helps!!!

4 0
3 years ago
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