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Mice21 [21]
3 years ago
5

Simplify the expressions:

Mathematics
1 answer:
alex41 [277]3 years ago
8 0

Answer:

1. -x³

2. m²

3. -1.5t⁷

Step-by-step explanation:

x⁶^½ = +/- x³

Since x is negative, postive square root would be -x³

m⁴^½ = +/- m²

Positive square root is m²

t¹⁷^½ = +/- t⁷

Since t is negative, postive square root would be -t⁷

1.5 × -t⁷ = -1.5t⁷

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A rectangular pyramid has a base area of 24in² and a volume of 48in³. What is the height of the pyramid?
alexgriva [62]

height of pyramid = 3*(V/A)

V=48in^3

A=24in^2

So 3*(48/24) = 3*2=6

4 0
3 years ago
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What is the slope of the line through (2,-2)(2,−2)left parenthesis, 2, comma, minus, 2, right parenthesis and (9,3)(9,3)left par
Alecsey [184]

Answer:

Slope=5/7

Step-by-step explanation:

Slope=Δy/Δx=(3-(-2)) /(9-2)=5/7

3 0
3 years ago
What is the quotient in simplest form?
enyata [817]
The third one 02 2/5 is the answer
8 0
3 years ago
Tickets to a sporting event cost $125 each. What's a reasonable domain and range.
djverab [1.8K]

The domain and the range of a function is the set of input and output values of the function.

The domain is the set of all whole numbers.

The range is the set of all whole numbers.

Let the number of tickets be x, and the revenue be y.

So, the revenue function will be:

y = 125

The number of tickets cannot be less than 0.

So, the domain of the revenue function is

domain=0,∞

The above means that, the domain is the set of all whole numbers

Similarly, the revenue cannot be less than 0.

So, the range of the revenue function is

range = 0,∞

The above means that, the range is also the set of all whole numbers (in multiples of 125).

to know more about range and domain;

visit;brainly.com/question/28135761

#SPJ9

3 0
1 year ago
The diameter of circles A,C and E are 32 cm, 24cm and 14 cm respectively
Karolina [17]

Answer:

AG = 4

AH = 21

EC = 12

CH = 5

HE = 7

Step-by-step explanation:

<u><em>The complete question is</em></u>

The diameters of circles A, C and E are 32 cm, 24 cm and 14 cm respectively.

Which of the following statements are true? Select all that apply.

•AG = 4

•GC = 10

•AH = 21

•EC = 12

•EH = 5

•CH = 5

•HE = 7

The picture of the question in the attached figure

<u><em>Verify each statement</em></u>

1) AG = 4

we know that

AG=AC-GC

AC=32\2=16\ cm ----> radius of circle A

GC=24/2=12\ cm ----> radius of circle C

substitute

AG=16-12=4\ cm

therefore

The statement is true

2) GC = 10

we know that

GC=24/2=12\ cm ----> radius of circle C

therefore

The statement is false

3) AH = 21

we know that

AH=AC+CH

we have

AC=16\ cm ----> radius of circle A

CH=CE-HE

CE=12\ cm ----> radius of circle C

HE=14/2=7\ cm ----> radius of circle E

so

CH=12-7=5\ cm

AH=16+5=21\ cm

therefore

The statement is true

4) EC = 12

we know that

EC=24/2=12\ cm ----> radius of circle C

therefore

The statement is true

5) EH = 5

we know that

EH=14/2=7\ cm ----> radius of circle E

therefore

The statement is false

6) CH = 5

we know that

CH=CE-HE

CE=12\ cm ----> radius of circle C

HE=14/2=7\ cm ----> radius of circle E

so

CH=12-7=5\ cm

therefore

The statement is true

7) HE = 7

we know that

HE=14/2=7\ cm ----> radius of circle E

therefore

The statement is true

3 0
3 years ago
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