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3 years ago

If s(x) = 2 - x2 and t(x) = 3x, which value is equivalent to (st)(-7)

Mathematics

1 answer:

antoniya [11.8K]3 years ago

6 0

Answer:

1029

Step-by-step explanation:

s(-7)=2-49=-47, t(-7)=-21

(st)(-7)=21*49=1029

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A right triangle has side lengths 7, 24, and 25 as shown below.

Hoochie [10]

Answer: Tan B = 0.2917 (16.26 degrees)

Sin B = 0.2800 (16.26 degrees)

Cos B = 0.9600 (16.26 degrees)

Step-by-step explanation: Please refer to the picture attached for details.

The right angled triangle LNB has been drawn with the sides labeled as 7, 24 and 25 as indicated. With angle B as the reference angle, we can now identify each side as follows;

Side 7 (opposite, facing the reference angle)

Side 24 (adjacent, between the reference angle and the right angle)

Side 25 (hypotenuse, facing the right angle).

Hence, using the trigonometric ratios,

Tan B = opposite/adjacent

Tan B = 7/24

Tan B = 0.2917 (16.26 degrees)

Sin B = opposite/hypotenuse

Sin B = 7/25

Sin B = 0.2800 (16.26 degrees)

Cos B = adjacent/hypotenuse

Cos B = 24/25

Cos B = 0.9600 (16.26 degrees)

3 0

4 years ago

A fluid moves through a tube of length 1 meter and radius r=0.006±0.00025 meters under a pressure p=4⋅105±2000 pascals, at a rat

iris [78.8K]

Answer:

Maximum error for viscosity is 17.14%

Step-by-step explanation:

We know that everything is changing with respect to the time, "r" is changing with respect to the time, and also "p" just "v" will not change with the time according to the information given, so we can find the implicit derivative with respect to the time, and since

$n = (\frac{\pi}{8}) (\frac{pr^4}{v})\\$

The implicit derivative with respect to the time would be

$\frac{dn}{dt} = \frac{\pi}{8} ( \frac{r^4}{v} \frac{dp}{dt} + \frac{4pr^3}{v}\frac{dr}{dt} )$

If we multiply everything by dt we get

$dn = \frac{\pi}{8} ( \frac{r^4}{v} dp + \frac{4pr^3}{v} dr})$

Remember that the error is given by $\frac{dn}{n}$ therefore doing some algebra we get that

$\frac{dn}{n} = 4 \frac{dr}{r} + \frac{dp}{p}$

Since, r = 0.006 , dr = 0.00025 , p = 4*105 , dp = 2000 we get that

$\frac{dn}{n} = 0.1714$

Which means that the maximum error for viscosity is 17.14%.

5 0

3 years ago

What is 5/12 Plus 5/12?

mestny [16]

$\sf\dfrac{5}{12}+\dfrac{5}{12}$

Since we already have like denominators, just add the numerators and keep the denominator.

$\sf\dfrac{5+5}{12}\rightarrow\dfrac{10}{12}$

Simplify:

$\boxed{\sf\dfrac{5}{6}}$

3 0

3 years ago

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candace help out at the library after school. The head librarian tells her that there are 2,160 books in the children's section

Slav-nsk [51]

That would be 40 books on each shelf. Hope that helped :)
Here is the process:
2,160/ 9 stands = 240 books per stand
240 stands/ 6 shelves each = 40 books on each shelf.

3 0

3 years ago

What is the area of the rhombus?

Aleksandr [31]

Answer: 24 square units

Step-by-step explanation:

Given that the

Length of one diagonal will be:

p = 3+3 = 6 units

The length of other diagonal will be

q = 4+4 = 8 units

Area of a rhombus= (p × q)/2

= (6×8)/2

= 48/2

= 24 square units

6 0

4 years ago

Read 2 more answers