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3 years ago

Evaluate: 6q + m − m; use m = 8, and q = 3

Mathematics

2 answers:

MArishka [77]3 years ago

8 0

Answer:

Step-by-step explanation:

6(3)+8-8

=18

.......

adelina 88 [10]3 years ago

4 0

Answer:

your answer is 18

Step-by-step explanation:

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The equation r(t)= (3t+9)i+(sqrt(2)t)j+(t^2)k is the position of a particle in space at time t. Find the angle between the veloc

andreev551 [17]

Answer:

$\theta= \frac{\pi}{2} +\pi \cdot i$ , for all $i = \mathbb{Z} \cup\{0\}$

Step-by-step explanation:

The velocity vector is found by deriving the position vector depending on the time:

$\dot r(t)= v (t) = 3 \cdot i +\sqrt{2} \cdot j + 2\cdot t \cdot k$

In turn, acceleration vector is found by deriving the velocity vector depending on time:

$\ddot r(t) = \dot v(t) = a(t) = 2 \cdot k$

Velocity and acceleration vectors at $t = 0$ are:

$v(0) = 3\cdot i + \sqrt{2} \cdot j\\a(0) = 2 \cdot k\\$

Norms of both vectors are, respectively:

$||v(0)||\approx 3.317\\||a(0)|| \approx 2$

The angle between both vectors is determined by using the following characteristic of a Dot Product:

$\theta = \cos^{-1}(\frac{v(0) \bullet a(0)}{||v(0)||\cdot ||a(0)||})$

Given that cosine has a periodicity of $\pi$ . There is a family of solutions with the form:

$\theta= \frac{\pi}{2} +\pi \cdot i$ , for all $i = \mathbb{Z} \cup\{0\}$

7 0

3 years ago

The side of a square is measured to be 10 ft with a possible error of ±0.1 ft. Use linear approximation or differentials to esti

lorasvet [3.4K]

Answer:

The error in the calculation of the area will be 2 square feet.

Step-by-step explanation:

Let the actual length of the square is L ft.

So, actual area A = L² ......... (1)

Now, if there is an error in measuring length is ΔL, then

(A + ΔA) = (L + ΔL)² {Since if there is an error in length by ΔL, then there will be an error in the calculation of area by ΔA}

⇒ A + ΔA = L² + 2×L×ΔL + (ΔL)²

Now, by linear approximation, neglect the term (ΔL)² as it will be very small.

So, A + ΔA = A + 2×L×ΔL {Since A = L²}

⇒ ΔA = 2×L×ΔL .......... (2)

Now, given that L = 10 ft and ΔL = 0.1 ft.

Hence, ΔA = 2× 10× 0.1 = 2 sq. ft.

Therefore, the error in the calculation of the area will be 2 square feet. (Answer)

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3 years ago

Write 34.996 to:<br>i. 2 decimal places

Alinara [238K]

Answer:

34.996 to 2 dcp is 35.00

Step-by-step explanation:

6 rounds up 9 goes to 10 add the 1 left over to make the units number equal 5 but as it is decimal place remember to add the 0's

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3 years ago

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Find the volume of a sphere that has a diameter of 10 inches. Round your answers to the nearest tenth if necessary. Use 3.14 for

NNADVOKAT [17]

Answer:

15.7 in.

Step-by-step explanation:

Diameter/2 times pi. and you get your answer.

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3 years ago

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What's 130÷26 by using area model

Ymorist [56]

Answer: 5

Step-by-step explanation:

130/26=5

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1 year ago