Vector N = 3(i) +3(j) + 10 (k) and vector L is given by L = 2(j) - 13 (k). Find the y component of Z = N+L?

Answer:

A. 106 + 2x + 50 = 180

Step-by-step explanation:

A. 106 + 2x + 50 = 180. Correct.

B. 2x + 50 = 180. Incorrect. Angle is not a Straight Angle.

C. 2x + 50 = 106. Incorrect. That equals the first angle.

hope this helps.

ten crore is answer for India system

Step-by-step explanation:

hundred million is answer for international system

Answer:

-3x+4

Step-by-step explanation:

In order to find the slope, you need to use this formula: \((y_2-y_1)/(x_2-x_1)\). Insert the coordinates and see that the slope is -3. In order to have the points (-4,16) and (2,-2), the y-intercept is 4. In the end, the line is -3x+4.

The perimeter of the given window is 48 centimeter.

From the given figure,

Perimeter of window = 2(Length+Breadth)

= 2(10+14)

= 2×24

= 48 centimeter

Perimeter of house = 2(Length+Breadth)

= 2(37+35)

= 2×72

= 144 centimeter

Perimeter of roof = 2(Length+Breadth)

= 2(37+5)

= 2×42

= 84 centimeter

Therefore, the perimeter of the given window is 48 centimeter.

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Answer:

120 ways

Step-by-step explanation:

This is a pretty straightforward question. We are asked how many ways can 5 printers be displayed on one shelf. We use the formula of factorial in getting the number of ways, i.e

n! = n * (n-1) * ..... 1, in the question given, our n = 5, so if we plug it in, we get

n! = 5 * (5-1) * (4-1) * (3-1) * (2-1) * 1

n! = 5 * 4 * 3 * 2 * 1

n! = 120.

Thus, there are 120 different ways to display the five types of laser printer on a shelf.

(a) Randomized experiment, (b) There are three criteria for a randomized experiment

a) This is a randomized experiment.

b) The three criteria for a randomized experiment are:

Random assignment, the children were randomly assigned to the xylitol or placebo group.

Control group, a placebo group was used as a control.

Manipulation, the children were given different forms and doses of xylitol or placebo.

c) The explanatory variable is the form and dose of xylitol or placebo given to the children. The response variable is the incidence of ear infections.

d) Diagram of the randomized comparative experiment:

Population of healthy children in daycare centers

↓

Random assignment to xylitol or placebo group

↓

Intervention group: given xylitol in syrup, gum or lozenge form

Control group: given a placebo in gum, syrup or lozenge form

↓

Comparison of incidence of ear infections in intervention and control groups

↓

Analysis of results to determine the effectiveness of xylitol in reducing ear infections.

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SOLUTION:

Step 1:

The triangle under consideration is a right angle triangle and to find one of the sides we need to appeal to the concept of the Pythagorean theorem.

Let's quickly remind ourselves of what the Pythagorean theorem is.

Step 2:

Pythagorean theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle).

Step 3:

From the given question, the hypotenuse is x, while we can take the opposite side to be 5 and the adjacent as 6.

Step 4:

Substituting the values in step 3;

CONCLUSION:

The value of x in the given triangle is

14. The trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. In the trigonometric equation 2(cos²θ - sin²θ) = 1, θ = 15°

A trigonometric equation is an equation that contains a trigonometric ration.

14. To find the value of (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°, we proceed as follows

Since we have the trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°,

We know that sin47° = sin(90 - 43°) = cos43°. So, substituting this into the equation, we have that

(sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = (cos43°/cos43°)² + (cos43°/cos43°)² - 4cos²45°

= 1² + 1² - 4cos²45°

We know that cos45° = 1/√2. So, we have

1² + 1² - 4cos²45° = 1² + 1² - 4(1/√2)²

= 1 + 1 + 4/2

= 2 + 2

= 4

So, (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. If 2(cos²θ - sin²θ) = 1 and θ is a positive acute angle, we need to find the value of θ. We proceed as follows

Since we have the trigonometric equation 2(cos²θ - sin²θ) = 1

We know that cos2θ = cos²θ - sin²θ. so, substituting this into the equation, we have that

2(cos²θ - sin²θ) = 1

2(cos2θ) = 1

cos2θ = 1/2

Taking inverse cosine, we have that

2θ = cos⁻¹(1/2)

2θ = 30°

θ = 30°/2

θ = 15°

So, θ = 15°

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Answer: 505

Step-by-step explanation:

I searched it up

Answer:

9x+5y-5z

Step-by-step explanation:

if you need an explanation I can put it in the comments :)

Answer:

False

Step-by-step explanation:

Answer:

$38.25

Step-by-step explanation:

Perimeter of a rectangle = 2W + 2L

(where W is the width and L is the length)

Given:

⇒ perimeter = (2 x 2.5) + (2 x 6)

                     = 5 + 12

                     = 17 yd

Given:

⇒ total cost = 17 x 2.25

                    = $38.25

Perimeter:-

Toatl cost::

3 pieces each students shared equally by 4 students.

Cut each construction paper into fourths.(please see the attached image)

They each get 3 fourths of a construction paper.  

By cutting three pieces of construction paper into fourths, we created 12 pieces of construction paper to divide to 4 students.

12/4 = 3 pieces each.

Hence, 3 pieces each students share.

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Answer:

his salary after three months would be 1300

Step-by-step explanation:

10 percent of 1000 is a hundred and multiply that by 3, it would equal 300 and add that to the 1000.

Based on the task content given; the initial fee and the fee per stop is $2 and $1.5 respectively.

let

x + 3y = 6.50

x + 7y = 12.50

7y - 3y = 12.50 - 6.50

4y = 6

y = 6/4

y = 1.5

x + 3y = 6.50

x + 3(1.5) = 6.50

x + 4.5 = 6.50

x = 6.50 - 4.5

x = 2

Therefore, the initial fee and the fee per stop is $2 and $1.5 respectively.

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C D E

Step-by-step explanation:

All the numbers above (C D E) are negative, making them less than 0.

Answer:

C, D, and E. They are all negative, which means they are less than zero.

1.2 and 7/2 are more than one. 7/2 simplifies to 3 1/2.

The joint relative frequency for school children who plan to attend camp and have swimming lesson is 44%.

The correct option to the given question is option d.

We are required to find the joint relative frequency for school children who plan to attend camp and have swimming lessons, rounded to the nearest percent.

To find the joint relative frequency, we use the formula as follows:

Joint relative frequency = frequency of interest / total frequency

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 42 / 96

(As we are looking for the students who plan to attend camp and have swimming lessons, we are interested in the first column of the table and the entry at the intersection of the first row and second column.)

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 0.4375

Joint relative frequency for school children who plan to attend camp and have swimming lessons (rounded to the nearest percent) = 44%(option d).

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Answer:

13:24

that is it

male:all

The option that can be used to verify the trigonometric identity, \(tan\left(\dfrac{x}{2}\right)+cot\left(x \right) = csc\left(x \right)\) is option C;

C. \(tan\left(\dfrac{x}{2} \right) + cot\left(x \right) = \dfrac{1-cos\left(x \right)}{sin\left( x \right)} +\dfrac{cos \left(x \right)}{sin\left(x \right)} =csc\left(x \right)\)

A trigonometric identity is an equations that consists of trigonometric functions that remain true for all values of the argument of the functions

The specified identity is presented as follows;

\(tan\left(\dfrac{x}{2} \right)+cot(x)=csc(x)\)

The half angle formula for tangent indicates that we get;

\(tan\left(\dfrac{1}{2} \cdot \left(\eta \pm \theta \right) \right) = \dfrac{tan\left(\dfrac{1}{2} \cdot \eta \right)\pm tan\left(\dfrac{1}{2} \cdot \theta \right)}{1 \mp tan\left(\dfrac{1}{2} \cdot \eta \right)\times tan\left(\dfrac{1}{2} \cdot \theta \right)}\)

\(\dfrac{tan\left(\dfrac{1}{2} \cdot \eta \right)\pm tan\left(\dfrac{1}{2} \cdot \theta \right)}{1 \mp tan\left(\dfrac{1}{2} \cdot \eta \right)\times tan\left(\dfrac{1}{2} \cdot \theta \right)}=\dfrac{sin \left(\eta\right) \pm sin\left(\theta \right)}{cos \left(\eta \right) + cos \left(\theta \right)} = -\dfrac{cos \left(\eta\right) - cos\left(\theta \right)}{sin \left(\eta \right) \mp sin \left(\theta \right)}\)

When η = 0, we get;

\(-\dfrac{cos \left(0\right) - cos\left(\theta \right)}{sin \left(0 \right) \mp sin \left(\theta \right)}=-\dfrac{1 - cos\left(\theta \right)}{0 \mp sin \left(\theta \right)}=\dfrac{1 - cos\left(\theta \right)}{sin \left(\theta \right)}\)

Therefore;

\(tan\left(\dfrac{x}{2} \right)=\dfrac{1 - cos\left(x \right)}{sin \left(x \right)}\)

\(cot\left(x \right) = \dfrac{cos(x)}{sin(x)}\)

\(tan\left(\dfrac{x}{2} \right)+cot(x)= \dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}\)

\(\dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}=\dfrac{1-cos(x)+cos(x)}{sin(x)} = \dfrac{1}{sin(x)}\)

\(\dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}=\dfrac{1}{sin(x)}=csc(x)\)

Therefore;

\(tan\left(\dfrac{x}{2} \right)+cot(x)= \dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)} = csc(x)\)

The correct option that can be used to verify the identity is option C

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Answer:

SOH CAH TOA

-first what do we have?

 - opposite = 8.9

-adj = x

Tan(55)/1 = 8.9/x

cross multiply to get your answer

Answer:

The last possible answer is correct

Step-by-step explanation:

11.23 × 10⁵

11.23 × 100000

1,123,000

Answer:

D

Step-by-step explanation:

Answer:

114 liters

Step-by-step explanation:

120 x 0.95 = 114

Answer:

615.832in^2

Step-by-step explanation:

Step one:

given

The radius of a ball is 7 inches.

Required:

the surface area of the ball

Step two:

the formula for the surface area is

SA= 4πr^2

substitute

\(SA=4*3.142*7^2\\\\SA= 4*3.142*49\\\\SA=615.832 in^2\\\\\)

let me give you a mouthful of something

the domain of f(x) is the range of its inverse, or namely the domain of f(x) is the same set as the range of f⁻¹(x), so for any (a , b) pair on the domain of f(x), there's a (b , a) on the range of f⁻¹(x).

now, that's a bit of of a mumble, but in short it means, if f(x) has a point of (3 , 5), then the graph of f⁻¹(x) has a point which is the same pair but flipped sideways, namely (5 , 3).

that's pretty much true for any function that has an inverse.

Answer:

416,000

Step-by-step explanation:

per hour 9*100=900

per week 900*40=36,000

per year 36,000*52=1,872,000

with raise

11*100=1,100

1,100*40=44,000

44,000*52=2,288,000

difference equals

416,000

Step-by-step explanation:

i dont see a venn diagram but i think the number is probably more than 5

The probability that the number selected is odd or less than five will be 0.20 or 20%.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Each of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are written on a separate piece of paper and placed in a hat.

One piece of paper is randomly selected from the hat.

Then the probability that the number selected is odd or less than 5 will be

Total event = 10

Favorable event = 2 {1, 3}

Then the probability will be

\(\rm P = \dfrac{2}{10}\\\\P = 0.2 \ or \ 20\%\)

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Answer:

\(\huge\bold{\purple{\bold{⚡Ezy⚡}}} \)

Step-by-step explanation:

a. y-10

b. y+20

c. (y-2)+(y+3) =2y+1

d. {5y}+{7(y-5)}= 12y-35

e. 4y

Answer:

4 1/10 when u have a inproper fraction like that every 10 is one whole number