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Harman [31]
4 years ago
12

Find 2x2 − 2z4 + y2 − x2 + z4 if x = −4, y = 3, and z = 2. Is -3 the correct answer?

Mathematics
1 answer:
Ket [755]4 years ago
6 0
We're given the algebraic expression 2x^2 - 2z^4 + y^2 - x^2 + z^4

By hypothesis, x = -4, y = 3 and z = 2

Let's replace each letter by its given value:

2x^2 - 2z^4 + y^2 - x^2 + z^4
2(-4)^2 - 2(2)^4 + (3)^2 - (-4)^2 + (2)^4
(2*16) - 2*16 + 9 - 16 + 16
32 - 32 + 9 - 16 + 16
9

So wrong. The correct answer is not -3, but 9.

Hope this helps! :D
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What fraction of 2 kg is 275g? Give your answer in simplest form.
Katen [24]

Answer:

Step-by-step explanation:

1kg=1000g

2kg=2000g

275/2000=11/80g

4 0
4 years ago
Read 2 more answers
A line segment is sometimes/always/never similar to another line segment, because we can sometimes/never/always map one into the
Fantom [35]

Answer:

A line segment is <u><em>always</em></u> similar to another line segment, because we can <u><em>always</em></u> map one into the other using only dilation a and rigid transformations

Step-by-step explanation:

we know that

A<u><em> dilation</em></u> is  a Non-Rigid Transformations that change the structure of our original object. For example, it can make our object bigger or smaller using scaling.

The dilation produce similar figures

In this case, it would be lengthening or shortening a line. We can dilate any line to get it to any desired length we want.

A <u><em>rigid transformation</em></u>, is a transformation that preserves distance and angles, it does not change the size or shape of the figure. Reflections, translations, rotations, and combinations of these three transformations are rigid transformations.

so

If we have two line segments XY and WZ,  then it is possible to use dilation and rigid transformations to map line segment XY to line segment WZ.

The first segment XY would map to the second segment WZ

therefore

A line segment is <u><em>always</em></u> similar to another line segment, because we can <u><em>always</em></u> map one into the other using only dilation a and rigid transformations

6 0
3 years ago
Convert a recipe that serves 6 and calls for 3/4 cups of sugar to one that serves 20.
djyliett [7]

Answer:

5/2cups

Step-by-step explanation:

If a recipe serves 6 and calls for 3/4cups, arecipe that serves 20, will call for (20×3/4)/6 cups. Mathematically;

6recipe = 3/4cups

20recipe = x

Cross multiplying we have;

6x = 20×3/4

6x = 15

x = 15/6

x = 5/2

This means a recipe that serves 20 will call for 5/2cups

3 0
3 years ago
The singing club charged each of its 20 members $2.60 to hire a hall for a performance . The hall owner gave the club $4.50 chan
ioda

Here there are 20 members in all.

Each member paid $2.60.

Total amount paid by members = 20 × 2.60 = $52

The club paid $47.50 to hire the hall. ......Answer

Hence the amount received by the hall = 52 - 4.50 = $ 47.50

The Hall charged $47.50 as the fee.

3 0
3 years ago
John was told that his IQ score was 3 standard deviations above the mean. If IQ scores were approximately normal with μ=93 and σ
Darina [25.2K]

9 is the standard deviation in this problem. The mean iq score is 93.

This meant that his IQ score is 93+9*3=93+27=120 :) also this john person is really smart im jealous :(

4 0
3 years ago
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