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Vadim26 [7]
2 years ago
9

The inequalities x + 3 < -5 and -x > -8 are the same. True False

Mathematics
1 answer:
trapecia [35]2 years ago
3 0

Answer:

False

Step-by-step explanation:

x + 3 < -5

x < -8

-x > -8

x < 8

Both aren't same

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The function — is used to model the height of an object projected in the air, where h(t) is the height in meters and t is the ti
MissTica

The answer choice which represents the domain and range of the function h(t) as given in the task content in which case, values are rounded to the nearest hundredth is; Domain: [0, 3.85] and Range: [0, 18.05].

<h3>What are the domain and range of the function as given in the task content?</h3>

It follows from convention that the domain of a function simply refers to the set of all possible input values for that function.

Also, the range of a function is the set of all possible output values for such function.

On this note, by observing the graph in the attached image, it follows that the Domain of the function in discuss is; [0, 3.85].

While the range is the difference between the minimum and maximum height attained and can be computed as follows;

At minimum height, t = 0; hence, h(t) = 0.

At maximum height; h'(t) = 0 where h'(t) = h'(t)=-9.74t+18.75 and hence, t = 1.92.

Hence, h(1.92) = 18.05.

The range is therefore; [0, 18.05].

Read more on domain and range;

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6 0
2 years ago
The distance between points A and B is 15. The coordinates of point A are (1, 18) and the
wel

Answer:

9 and 27

Step-by-step explanation:

let me know if you want an explanation

6 0
1 year ago
. Multiply (3x+2)(4x-7)
aleksklad [387]

Answer:

12x^{2}  + 29x - 14

Step-by-step explanation:

(3x+2)(4x-7)

Multiply out 3x first then 2

(3x * 4x) - (3x * -7) + (2 * 4x) + (2 * -7)

12x^{2} - (- 21x) + 8x + ( -14)

12x^{2} + 21x + 8x - 14    Combine like terms

12x^{2}  + 29x - 14

4 0
3 years ago
Read 2 more answers
7 times 10 to the -7 power
klasskru [66]

Answer:

0.0000007 as a regular notation

or 7x10^-7 as scientific notation

3 0
2 years ago
The sector COB is cut from the circle with center O. The ratio of the area of the sector removed from the whole circle to the ar
mafiozo [28]

Answer:

Ratio = \frac{R^2 - r^2 }{ r^2}

Step-by-step explanation:

Given

See attachment for circles

Required

Ratio of the outer sector to inner sector

The area of a sector is:

Area = \frac{\theta}{360}\pi r^2

For the inner circle

r \to radius

The sector of the inner circle has the following area

A_1 = \frac{\theta}{360}\pi r^2

For the whole circle

R \to Radius

The sector of the outer sector has the following area

A_2 = \frac{\theta}{360}\pi (R^2 - r^2)

So, the ratio of the outer sector to the inner sector is:

Ratio = A_2 : A_1

Ratio = \frac{\theta}{360}\pi (R^2 - r^2) : \frac{\theta}{360}\pi r^2

Cancel out common factor

Ratio = R^2 - r^2 : r^2

Express as fraction

Ratio = \frac{R^2 - r^2 }{ r^2}

6 0
2 years ago
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