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3 years ago

Evaluate 2D + 3 when d = 8.

Mathematics

1 answer:

enyata [817]3 years ago

5 0

Step-by-step explanation:

2d + 3= 2(8)+3

= 16+3

= 19

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Given c=(2.4,0.45) and d = (7,-4) find the direction of 5c+4d

kakasveta [241]

Answer:

The direction of 5c + 4d is approximately 19.0° clockwise with

the positive part of x-axis

Step-by-step explanation:

* Lets talk about the direction of a vector

- If the vector is (x , y), then

# Its magnitude is √(x² + y²)

# Its direction is tan^-1 (y/x)

- The direction is the angle between the positive part of x-axis and

the vector

* Lets solve the problem

∵ c = (2.4 , 0.45) and d = (7 , -4)

- To find 5c + 4d , multiply the two coordinates of c by 5 and the two

coordinates of d by 4

# Multiply c by 5

∴ 5c = [5(2.4) , 5(0.45)]

∴ 5c = (12 , 2.25)

# Multiply d by 4

∴ 4d = [4(7) , 4(-4)]

∴ 4d = (28 , -16)

- Lets add 5c and 4d

∴ 5c + 4d = (12 , 2.25) + (28 , -16)

∴ 5c + 4d = [(12 + 28) , (2.25 + -16)]

∴ 5c + 4d = (40 , -13.75)

- The vector is in the 4th quadrant because the x-coordinate is

positive and the y-coordinate is negative

* Find the direction of 5c + 4d

∵ The direction is tan^-1 (y/x)

∴ The direction is tan^-1 (-13.75/40) = -18.97°

* The direction of 5c + 4d is approximately 19.0° clockwise with

the positive part of x-axis

3 0

3 years ago

Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?

lbvjy [14]

Answer:

x = StartFraction negative

(negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction

Step-by-step explanation:

0 = – 3x2 – 2x + 6

It can still be written as

– 3x2 – 2x + 6 =0

Quadratic formula=

-b+or-√b^2-4ac/2a

Where

a=-3

b=-2

c=6

x= -(-2)+ or-√(-2)^2-4(-3)(6)/2(-3)

x = StartFraction negative

(negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction

8 0

3 years ago

the perimeter of am equilateral triangle is 7 inches more than perimeter of a square and the side of the triangle is 5 inches mo

Dmitry [639]

Let $t$ be the side of the triangle and $s$ be the side of the square.

Let $P_t$ be the perimeter of the triangle and $P_s$ be the perimeter of the square.

We have the following relationship:

$\begin{cases}P_t = P_s+7\\t=s+5\\P_t = 3t\\P_s=4s\end{cases} \implies \begin{cases}3t=4s+7\\t=s+5\end{cases} \implies 3(s+5)=4s+7 \implies s=8$

Which finally implies

$t=s+5=13$

8 0

3 years ago

Read 2 more answers

WHAT IS THE ANSWER TO 0.16PSQUARED-0.0025

Misha Larkins [42]

$(0.16)^2-0.0025=0.0256-0.0025=0.0231$

8 0

3 years ago

A university president proposed that all students must take a course in ethics as a requirement for graduation. Three hundred fa

mash [69]

You did not add the attachment for this question to be answered. I have added it

Answer:

0.5333

Step-by-step explanation:

We have

P(faculty) to be the probability of faculty being selected

= 70/300

= 0.233333333

We also have

P(favor) to be the probability of being in favor of this proposal

= 135/300

= 0.45

In answer to this question,

The required probability

= P(faculty) + p(favor) - p(faculty n favor)

p(faculty n favor) = 45/300

= 0.15

Probability = 0.233333333 + 0.45- 0.15

= 0.5333 approximately

8 0

2 years ago