What is the speed of a wave that has a wavelength of 2m and frequency of 1.5 Hz?
Doc Below

Answer:

The angle between the two vectors

∝ = 64°

Step-by-step explanation:

Step(i):-

Given that the vectors

                           [tex]a^{-} = i^{-} - 2j^{-} +5k^{-}[/tex]

          and

                         [tex]b^{-} = 3i^{-} +j^{-} -2k^{-}[/tex]

[tex](a^{-} . b^{-} ) = (i^{-} - 2j^{-} +5k^{-} ) . (3 i^{-} + j^{-} - 2k^{-} )[/tex]

           =  3 (i⁻ . i⁻) - 2(j⁻.j⁻) -10(k⁻.k⁻)

          = 3 - 2 -10

          = -9

Step(ii):-

Let '∝' be the angle between the two vectors

                    [tex]cos\alpha = \frac{a^{-}.b^{-} }{|a||b|}[/tex]

                  [tex]cos\alpha = \frac{|-9| }{\sqrt{1+4+25}\sqrt{9+1+4} }[/tex]

                 [tex]cos\alpha = \frac{|-9| }{\sqrt{30}\sqrt{14} }[/tex]

               [tex]\alpha =cos^{-1} ( \frac{|-9| }{\sqrt{30}\sqrt{14} })[/tex]

              ∝ = cos⁻¹(0.4392) = 63.947

Final answer:-

The angle between the two vectors

               ∝ = cos⁻¹(0.4392) = 63.947

                ∝ = 64°

Answer:

About 9-10 weeks

Step-by-step explanation:

70/7= 10

Answer:

9-10

Step-by-step explanation:

Answer:

a = 1.4 and d = 6.9

Step-by-step explanation:

To get the value of d and a, we will use the SOH CAH TOA identity

For the first tringle;

Opposite = d ((opposite angle 60 degrees)

Adjacent = 4

Tan theta = opp/adj

Tan 60 = d/4

d  = 4tan60

d = 4(1.732)

d = 6.9

For the second triangle;

Opposite = a

Hypotenuse = 2

Since sin theta = opp/hyp

Sin45 = a/2

a = 2sin45

a = 2(0.7071)

a = 1.4

Hence a = 1.4 and d = 6.9

Answer:

x=3

Step-by-step explanation:

Sub y=x-1 into 2x+y=8.

You will get 2x+x-1=8.

Simplify 3x-1=8

Solve 3x=9

x=3

Answer:

375in^2

Step-by-step explanation:

area of a trapezoid is base + base divded by 2 then times that by the height

20 + 30 = 50

50/2 + 25

25 x 15 = 375

Answer:

the greatest common factor is 3

Answer: <

6.12 x 10^4 < 612,000

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

because 6.12 × 10^4 = 61,200 and 612,000 is obviously a way bigger number, so greater than symbol is the correct answer.

A. Angle E = 113°

B. x = 16°

Number A

92 + 70 + 85 + ? = 360

162 + 85 + ? = 360

247 + ? = 360

? = 360 - 247

? = 113°

Number B

108 + 84 + ( x + 30 ) + ( 2x + 18 ) = 360

(180 + 84 + 30 + 18) + (x + 2x) = 360

312 + 3x = 360

3x = 360 - 312

3x = 48

x = 48/3

x = 16°

#LearnWithBrainly

Answer

measure of angle A: 28 degrees

BC ≈ 13.3

BA = 28.3

hope this helps

Step-by-step explanation:

angle A

90- 62 = 28

angle A = 28

BC

tan (A) = BC / 25

(25) tan 28 = BC / 25 (25)  multiply 25 on both sides to cancel it out from BC

13.292735 = BC

BC ≈ 13.3

BA

BA^2 = 13.3^2 + 25^2  Pythagorean theorem

BA ≈ 28.3

If any of these are wrong, just follow the steps and make sure to use Ans in the calculator instead of rounding your numbers! Good luck :)

The answer is 1/10

This is simple division

The equation is (1/5÷2)

I did my work on a sheet of paper so i know i did this correctly

My explanation of my work:

Keep change flip is the operation used here

So you keep 1/5 ,change the division sign to multiplication and flip the 2/1 into 1/2 so the new equation is (1/5x1/2) the answer to that is 1/10  

Have an amazing day :)

-yO mAmA

Answer: The answer to what is the measure of angle x is 48°.

Step-by-step explanation: It’s because this angle is complementary Two Angles are Complementary when they add up to 90 degrees (a Right Angle). They don't have to be next to each other, just so long as the total is 90 degrees. Example: 5° and 85° are complementary angles.

48°+42°=90° and this is a right scalene triangle.

Answer:

As the calculated z does not fall in the critical region we fail to reject H0 and conclude that there is sufficient evidence that the average past-due amount for customers who have been called previously about their bills is now no larger than $23.

Step-by-step explanation:

As the standard deviation for the past due amounts is 63

The sample size n= 67

1) Formulate the null and alternate hypothesis

H0: u ≤ 23 against the claim Ha: u > 23

2)  The test statistics is

Z= x- u / σ/ √n

z= 20- 23/ 63/ √67

z= 0.00581

z= 0.006

3) The significance level ∝= 0.1

4) The critical value for ∝= 0.1 is Z > ±2.33

5) As the calculated z does not fall in the critical region we fail to reject H0 and conclude that there is sufficient evidence that the average past-due amount for customers who have been called previously about their bills is now no larger than $23.

Answer:

JSJXJX

Step-by-step explanation:

CF<DC<DE<DF<FE

Answer:

(√6x√20) / √3 = 2√10

Step-by-step explanation:

hello :

(√6x√20) / √3 =√2x√3 x√4x√5 / √3

because : √6 = √2x√3 and √20= √4x√5 = 2x√5

now simplify by √3 :(√6x√20) / √3 =√2x2x√5

(√6x√20) / √3 = 2√10 so : a =2 and b =10

Answer: 12 times

Step-by-step explanation:

Answer:

(B) Is the answer here

Step-by-step explanation:

Well a function’s domain can’t repeat no matter what.

Domain is X.

So the first one doesnt work since it repeats to every single digit that exists.

The second one works becuase the domain aren’t repeated and the range being repeated (or known as y) is but that deosn’t matter.

Answer:

B

Step-by-step explanation:

Hello There!

In order for the relations to be a function the x values may not repeat

For answer choice A the x value -2 repeats multiply times therefore the relation is not a function

For answer choice B each x value has a different y value so this might be our answer but just to be safe lets look at the other answer choices

For answer choice C the x values -3 and 2 repeat therefore it is not a function

For answer choice D the x value 2 repeats therefore the relation is not a function

So we can conclude that the correct answer is B

Answer:

Step-by-step explanation:

Fraction:

0.8 = 8/10 = 4/5

Percent:

0.8*100 = 80%

Answer:

0.8 can be written as

8/10 and

Percentage = 8/10 × 100

Percentage = 8 × 10

Percentage = 80%

Or,

Simply

Percentage = 0.8 × 100

Percentage = 80%

[tex] \\ [/tex]

Answer:

The question which ask to select among the choices the equation that Alejandria should write to represent the new line where as the equation she wrote is y-3=x-10 and the answer would be that the form in this equation is y=x-13 and if the slope is 2 then it is y=2x-13

Step-by-step explanation:

plz mark me as brainliest

Answer:

false

Step-by-step explanation:

I say false because the multiplicative inverse of 0 is undefined and the multiplicative inverse tells us that when you multiply a number by its inverse the product will be1 think the multiplicative inverse of 0 is undefined.

Answer:

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

5

2

−

7

−

1

8

=

0

5x^{2}-7x-18=0

5x2−7x−18=0

=

5

a={\color{#c92786}{5}}

a=5

=

−

7

b={\color{#e8710a}{-7}}

b=−7

=

−

1

8

c={\color{#129eaf}{-18}}

c=−18

=

−

(

−

7

)

±

(

−

7

)

2

−

4

⋅

5

(

−

1

8

)

Step-by-step explanation:

The solutions to the quadratic equation 5x² - 7x - 18 = 0 are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].

Given the quadratic equation in the question:

5x² - 7x - 18 = 0

Compared to the standard form ax² + bx + c = 0:

a = 5, b = -7 and c = -18

To find the solutions to the quadratic equation, we use the quadratic formula:

[tex]x = \frac{-b\±\sqrt{b^2 - 4(ac)} }{2a}[/tex]

Plug in the values and simplify:

[tex]x = \frac{-(-7)\±\sqrt{(-7)^2 - 4(5*-18)} }{2*5} \\\\x = \frac{7\±\sqrt{( 49 +360)} }{10} \\\\x = \frac{7\±\sqrt{ 409} }{10} \\\\x = \frac{7-\sqrt{ 409} }{10}, \frac{7+\sqrt{ 409} }{10}[/tex]

Therefore, the values of x are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].

Learn more about quadratic equations here: brainly.com/question/1863222

#SPJ2

Answer:

The maximum height of the ball is 380.25 feet in the air.

Step-by-step explanation:

The quadratic function:

[tex]h(t)=-16t^2+132t+108[/tex]

Models the ball's height h(t), in feet, above the ground t seconds after it was thrown.

We want to determine the maximum height of the ball.

Note that this is a quadratic function. Therefore, the maximum or minimum value will always occur at its vertex point.

Since our leading coefficient is leading, we have a maximum point. So to find the maximum height, we will find the vertex. The vertex of a quadratic equation is given by:

[tex]\displaystyle \left(-\frac{b}{2a},f\left(\frac{b}{2a}\right)\right)[/tex]

In this case, a = -16, b = 132, and c = 108. Find the t-coordinate of the vertex:

[tex]\displaystyle t=-\frac{132}{2(-16)}=-\frac{132}{-32}=\frac{33}{8}=4.125[/tex]

So, the maximum height occurs after 4.125 seconds of the ball being thrown.

To find the maximum height, substitute this value back into the equation. Thus:

[tex]h(4.125)=-16(4.125)^2+132(4.125)+108=380.25\text{ feet}[/tex]

The maximum height of the ball is 380.25 feet in the air.

Answer:

the slope of both lines are the same.

Step-by-step explanation:

Given the following segment of the Quadrilateral EFGH on a coordinate  Segment FG is on the line 3x − y = −2,

segment EH is on the 3x − y = −6.

To determine their relationship, we can find the slope of the lines

For line FG: 3x - y = -2

Rewrite in standard form y = mx+c

-y = -3x - 2

Multiply through by-1

y = 3x + 2

Compare

mx = 3x

m = 3

The slope of the line segment FG is 3

For line EH: 3x - y = -6

Rewrite in standard form y = mx+c

-y = -3x - 6

Multiply through by-1

y = 3x + 6

Compare

mx = 3x

m = 3

The slope of the line segment EH is 3

Hence the statement that proves their relationship is that the slope of both lines are the same.

The slope of the lines is the same, the line segments FG and EH are parallel to each other and are the opposite sides of the quadrilateral.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is constant.

The slope of the line segment FG can be found by comparing the equation with the equation of the line. Therefore,

y = mx + c

-2 = 3x - y

- 2 - 3x = -y

y = 3x + 2

Thus, the slope of the equation is 3.

The slope of the line segment EH can be found by comparing the equation with the equation of the line. Therefore,

y = mx + c

3x - y = -6

-y = 6 - 3x

y = 3x+6

Thus, the slope of the equation is 3.

Since the slope of the lines is the same, the line segments FG and EH are parallel to each other and are the opposite sides of the quadrilateral.

Learn more about Equation of Line:

https://brainly.com/question/21511618

#SPJ5

Answer:

$21.25

Step-by-step explanation:

$25 x 0.85 = $21.25

[tex]s \: = \: \frac{g + a}{2} [/tex]

Answer:

B) 1153000

Step-by-step explanation:

Given

See attachment

Required

Number of households without computer in 2009

From the attachment, we have:

[tex]n=5170000[/tex] --- survey

[tex]p = 22.3\%[/tex] --- proportion without computer

So, the actual number is:

[tex]Number = p * n[/tex]

[tex]Number = 22.3\% * 5170000[/tex]

[tex]Number = 1152910[/tex]

[tex]Number \approx 1153000[/tex]

Hence: (B) is correct

Answer:

21

Step-by-step explanation:

10^2-8^2=36

square root of 36=6

height=6

6x7x1/2=21

Answer:

The factors of 18 are: 1, 2, 3, 6, 9, 18

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40

Then the greatest common factor is 2.

The greatest common factor of 18 , 24 and 40 is HCF = 2

The Greatest Common Divisor GCF or the Highest Common Factor HCF is the highest number that divides exactly into two or more numbers. It is also expressed as GCF or HCF

Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers

Product of HCF x LCM = product of two numbers

Given data ,

Let the HCF be represented as H

Let the first number be represented as p

Now , the value of p = 18

Let the second number be represented as q

Now , the value of q = 24

Let the third number be represented as r

Now , the value of r = 40

And , the factors of 18 = 1, 2, 3, 6, 9 and 18

The factors of 24 = 1, 2, 3, 4, 6, 8, 12 and 24

The factors of 40 = 1, 2, 4, 5, 8, 10, 20 and 40

So , the HCF of 18 , 24 and 40 is the number 2

Hence , the HCF is 2

To learn more about HCF and LCM click :

https://brainly.com/question/20049151

#SPJ2

Answer:

3 cents

Step-by-step explanation:

cost of  20 markers=$6

cost of 1 marker=?

Cost of 1 marker = 6/20 = 3/10 = 0.3

It costs 3 cents.