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3 years ago

What expression can be used to represent the phrase " 3 more than 2 times the number of minutes, m"?

Mathematics

2 answers:

Slav-nsk [51]3 years ago

7 0

The answer would be B hope all goes well!

hjlf3 years ago

5 0

The answer is B, 2m +3

Two times the number of minutes, m, would be 2m, and then if you need three more than that you would add three, resulting in the +3 part of the equation. Therefore, 2m + 3.

Hope this helps!

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v=0.79x+3.99

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3 years ago

In the triangle,sum of two angles is 90° which is the measure of the third angle. Also,the difference of these 2 angle is 10°, f

Alona [7]

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3 years ago

Use the pythagorean theorem to find the distance between from A(5, -3) to B (6,0)

Orlov [11]

C. 3.16 is the right answer

Step-by-step explanation:

The distance formula used in coordinate geometry is derived from the Pythagorean theorem.

The distance formula is give by:

$d=\sqrt{(x_2-x_2)^2+(y_2-y_1)^2}$

Here (x1,y1) are the coordinates of first point and (y1,y2) are the coordinates of second point

Here,

(x1,y1) = (5,-3)

(x2,y2) = (6,0)

Putting the values in the formula

$AB = \sqrt{(6-5)^2+(0-(-3))^2}\\=\sqrt{(1)^2+(0+3)^2}\\=\sqrt{(1)^2+(3)^2}\\=\sqrt{1+9}\\=\sqrt{10}\\=3.16\ units$

The distance between two points is 3.16 units.

Hence,

C. 3.16 is the right answer

Keywords: Coordinate geometry, Pythagorean Theorem

Learn more about Pythagorean theorem at:

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3 years ago

While playing baseball, sofia takes note of the extreme vectors for which she bats. what is the angle between her two extreme ba

k0ka [10]

The angle between the two extreme vectors of Sofia bats is 74.60 degrees.

In this question,

The angle between two vectors will be deferred by a single point, which is called as the shortest angle at which we have to turn around one of the vectors to the position of co-directional with another vector.

The extreme vectors of Sofia bats are $\vec u = < -8, 12 >$ and $\vec v = < -8, 12 >$

The angle between the vectors is

$\theta = cos^{-1} \frac{\vec u.\vec v}{||\vec u|| ||\vec v||}$

The dot product is calculated as

$\vec u. \vec v = (-8)(13)+(12)(15)$

⇒ $-104+180$

⇒ 76

The magnitude can be calculated as

$||\vec u|| = \sqrt{(-8 )^{2} +(12)^{2} }$

⇒ $\sqrt{64+144}$

⇒ $\sqrt{208}$

$||\vec v|| = \sqrt{(13 )^{2} +(15)^{2} }$

⇒ $\sqrt{169+225}$

⇒ $\sqrt{394}$

Thus the angle between the vectors is

$\theta = cos^{-1} \frac{76}{(\sqrt{208} )(\sqrt{394} )}$

⇒ $\theta = cos^{-1} \frac{76}{\sqrt{81952} }$

⇒ $\theta = cos^{-1} \frac{76}{286.27 }$

⇒ $\theta = cos^{-1} (0.2654)$

⇒ $\theta=74.60$

Hence we can conclude that the angle between the two extreme vectors of Sofia bats is 74.60 degrees.

Learn more about angle between two vectors here

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5 0

1 year ago

your friend deposits $9500 in an investment account that earns 2.1% annual interest. what is the balance after 11 years when the

solmaris [256]

Answer:

The answer is "$ 11,961.43"

Step-by-step explanation:

Given values:

P = $ 9500

r= 2.1 %

time (t)= 11 year

total quarterly year =4

Formula:

$A= P (1+\frac{r}{n})^{nt}\\\\$

quarterly time = $4 \times 11$

$= 44$

$A= P (1+\frac{r}{n})^{nt}\\\\$

$A = 9500 ( 1+ \frac{0.021}{4})^{44}\\\\A = 9500(\frac{4+ 0.021}{4} )^{44} \\\\A = 9500(\frac{4.021}{4} )^{44} \\\\A= 9500 (1.00525)^{44}\\\\A= 9500(1.25909819)\\\\A= 11,961. 43\\$

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2 years ago