calculate the quotient 9/4 divided by 3/8

The question is incomplete. The complete question is :

A sine function that has an amplitude of 16 units, a period of 5 units,a vertical displacement of 3 units up and a phase shift of 2.5 units left. Graph this function and show each step.

Solution :

The standard form of the sine function is

y = a sin (bx - c) + d

Here given :

Amplitude, a = 16

Period :   [tex]$\frac{2 \pi}{|b|} = 5$[/tex]

            ⇒ [tex]$b = \frac{2\pi}{5}$[/tex]

Phase shift :  [tex]$\frac{c}{b} = 2.5$[/tex]

                   [tex]$\Rightarrow \frac{c}{2 \pi/5}=\frac{5}{2}$[/tex]

                  ∴ [tex]$c = - \pi$[/tex]

The vertical displacement : d = 3 units up

Now substituting a, b, c and d values in the standard form gives :

[tex]$y = 16 \sin \left( \frac{2 \pi}{5}x -(- \pi)\right) + 3$[/tex]

[tex]$y = 16 \sin \left( \frac{2 \pi}{5}x + \pi\right) + 3$[/tex]

The graph is attached below.

Answer:

-1.8m + 0.7

Step-by-step explanation:

Answer:

I believe the answer would be b

Step-by-step explanation:

Solve equation 1 for the variable  y  

y = -5x  

 Plug this in for variable  y  in equation

4•(-5x) + 12x = 16

- 8x = 16

Solve equation 2 for the variable  x  

8x = - 16  

x = - 2  

so far we know this

y = -5x

x = -2

Use the  x  value to solve for  y  

 y = -5(-2) = 10

which would give us the answer B

Answer:

colllge math or highchool

Answer:

x=1

Step-by-step explanation:

is the answer

Answer:

x = 1

Step-by-step explanation:

Answer:

I would have to say 5/13 and if I'm wrong I'm sorry just trying to help you out

Answer:

none of the above

Step-by-step explanation

70x + 300 = 90x

          300 = 20x

             15 = x

Answer:

each must travel 15 miles, and the charge is $13.50

Step-by-step explanation:

a8ex

Answer:

18/25

Step-by-step explanation:

i dont have an explanation

Answer:

1,000 miles

Step-by-step explanation:

set up the equation as

100x = d

where x equals the number of half inches between two points on the map

and d equals the distance between those points in real life

5 inches = 10 half inches so, plugged in the equation looks like

100(10) = d

simplify it to

1000 = d

and bam, the real distance is 1,000 miles

Answer:

5

Step-by-step explanation:

5(a+3)=40

5a+15=40

5a+15-15=40-15

5a=25

a=5

Answer:

6±√10

Step-by-step explanation:

x^2-12x+26=0

x= ± √10  +6

6±√10

The solutions of the given quadratic equation  [tex]x^2 - 12x + 26 = 0[/tex] are;

x = 6 + √10 and x = 6 - √10.

To solve the quadratic equation [tex]x^2 - 12x + 26 = 0[/tex]

using completing the square method, follow the steps below.

Move the constant term to the right side of the equation

[tex]x^2 - 12x = -26[/tex]

To find the value that completes the square, divide the coefficient of x by 2 and square it.

[tex](-12/2)^2 = 36[/tex]

Add and subtract the value obtained in step 2 to the left side of the equation

[tex]x^2 - 12x + 36 - 36 = -26[/tex]

Simplify the left side of the equation by factoring the perfect square trinomial

[tex](x - 6)^2 - 36 = -26[/tex]

Add 36 to both sides of the equation to isolate the perfect square trinomial

[tex](x - 6)^2 = 10[/tex]

To Take the square root of both sides of the equation

x - 6 = ±√10

Solve for x

x = 6 ± √10

So, the solutions of the given quadratic equation  [tex]x^2 - 12x + 26 = 0[/tex] are x = 6 + √10 and x = 6 - √10.

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Answer:

Step-by-step explanation:

The formula for finding the area of a parallelogram is the same for finding the area of a rectangle/square. So basically:

6 × 8 = 48

The area of the parallelogram is 48

Hope this helps!

Have a nice day!

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Answer:

y=5/4x

Step-by-step explanation:

First, take two points from the line. For example, I'll take (4,5) and (-4,-5)

The equation for slope (m) is (y2-y1)/(x2-x1)

let's label the points

x1=4

y1=5

x2=-4

y2=-5

now substitute into the equation:

m=(-5-5)/(-4-4)

m=-10/-8

m=5/4

Next, let's use point slope form, which is y-y1=m(x-x1)

Substitute x1, y1, and m

y-5=5/4(x-4)

y-5=5/4x-5

add 5 to both sides

y=5/4x

Hope this helps!

Triangle ABC is a right triangle. The length of the legs are 3 in and 6 in, how long is the hypotenuse? (Round to the nearest tenth if necessary)

When the two legs are given, the hypotenuse is found by using the Pythagorean Theorem, which states that:

[tex]\displaystyle a^{2} +b^{2} =c^{2}[/tex]

In the theorem, a and b are the two legs, and c is the hypotenuse. Since you are given the length of the two legs, substitute it into the equation.

[tex]a=3\\b=6[/tex]

[tex]3^{2} +6^{2}=c^{2}[/tex]

Now, you need to square both 3 and 6. When you square a number, you're basically multiplying the number by itself.

[tex]3^{2} =3 \times 3=9\\6^{2}=6 \times 6=36[/tex]

Substitute the numbers into the equation.

[tex]9+36=c^{2}[/tex]

Add:

[tex]45=c^{2}[/tex]

You're looking for the value of c, not c squared. To remove the square, you need to square root it.

[tex]\displaystyle \sqrt{45}=\sqrt{c^{2} }[/tex]

Using a calculator, find the square root of 45.

[tex]\displaystyle \sqrt{45}=\sqrt{c^{2} }\\c \approx 6.7[/tex]

The answer to your question is B) 6.7 inches.

Answer: A

Step-by-step explanation:

Use Pythagorean Theorem in order to solve this:

[tex]a^{2} + b^{2} = c^{2}[/tex]

(c is the hypotenuse)

So that would be:

[tex]3^{2} + 6^{2} = c^{2}[/tex]

If you solve this, you would find that:

[tex]c^{2} = 45[/tex]

[tex]c = 3\sqrt{5}[/tex]

Answer = B

Distance = rate x time

Distance = 17.25 x 200

Distance = 3,450 miles

Answer: the answer is 3450

Step-by-step explanation:

Answer:

When I did this in middle school, the teacher made it unnecessarily difficult     (-_-), so here`s my own method for you.

Finding 1%:

If 9 is 3%, then 3 is 1%. This method only works when the sides are divisible.

You can use the 1% to find the total, which is 100%.

3 stores (or 1%) x 100 = 300.

There are 300 stores in the shopping district.

Hope that helps

Answer:

9

Step-by-step explanation:

-2g- 2m+ 5

-2(-3) - 2(10) +5

6- 20+ 5

9

Answer:

plz make it brainlisted

Step-by-step explanation:

Since the total is 300 and the ratio is 4:1,

Let us suppose the number of adults be 4x and children be x;

According to the question,

4x+x=300

or,5x=300

or,x=(300/5)

or,x=60

So, 60 students attended the show.

Answer:

75

Step-by-step explanation:

4:1 children meaning 1/4 of the population of 300 is 75

Answer:

3a. 84

3b. 150

Step-by-step explanation:

(3*7)+(3*21)

what is 3*7? it's 21

what is 3*21? it's 63

so 21 + 63 is the answer to the first question :D

10*(8+7)

8+7 first cause it's in parentheses

15

10*15 is equal to 150

Answer:

discount

Step-by-step explanation:

goes under og price

Answer: 17

Step-by-step explanation:

Answer:

1.) 120.722222206 or  120.72

2.) 650.250000382 or 650.25

Step-by-step explanation:

Answer:

Dimension of rectangle = 6 inches by 3 inches

Dimension of square = 3 inches by 3 inches

Step-by-step explanation:

Given information:

- Length of rectangle = [tex]6[/tex] inches.

- Width of rectangle is the same as the side length of square.

- Area of rectangle is twice the area of square

Variable to define:

Let [tex]s[/tex] = side length of the square and the width of the rectangle

Finding dimensions of rectangle and square:

From the information given, we can write the equation:

[tex]6s=2s^2[/tex]  (Area of rectangle is twice the area of square)

[tex]6=2s[/tex] (Divide [tex]s[/tex] on both sides)

[tex]s = 3[/tex] inches

Dimension of rectangle = length by width

= 6 inches by 3 inches

Dimension of square = side by side

= 3 inches by 3 inches

Hope this helps :)

Answer:

N=+24,-24

Step-by-step explanation:

Well this is a quadratic equation and we can make further deductions using it's discriminant

b²-4ac=0

N²-4(1×144)=0

N²-576=0

N²=576

N=√576

N=+24,-24

The possible values of N are +24, and -24 if both roots of x² + Nx + 144 are equal to each other.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

It is given that:

The quadratic equation is:

x² + Nx + 144 = 0

Discriminant will be zero:

D = 0

b²-4ac=0

N²-4(1×144)=0

N²=576

N=√576

N=+24,-24

Thus, the possible values of N are +24, and -24 if both roots of x² + Nx + 144 are equal to each other.

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Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question we have

[tex]m = \frac{ - 22 - - 2}{ - 4 - - 4} = \frac{ - 22 + 2}{ - 4 + 4} = - \frac{20}{0} \\ [/tex]

Any number divided by zero is undefined so the slope of the line is undefined.

Hope this helps you

Answer:

Step-by-step Explanation:

We need to find the slope of the line joining the points (-4, -2) and (-4, -22).

We know that, Slope is the difference of abcsissa (x - coordinate) / difference of ordinates (y-coordinate)

[tex]m = \dfrac{y2 - y1}{x2 - x1} [/tex]

Here:

Plugging these values:

[tex]m = \dfrac{ - 22 - ( - 2)}{ - 4 - ( - 4)} [/tex]

This can be written as:

[tex]m = \dfrac{ - 22 + 2}{ - 4 + 4} [/tex]

[tex]m = \dfrac{ - 20}{0} = \infty [/tex]

Here, The slope of the line is infinite or undefined. An undefined slope (or an infinitely large slope) is the slope of a vertical line!

Answer: 4.5

Hope this helps :)

Answer:

b

Step-by-step explanation:

It will take [tex]\frac{20}{9}[/tex] hours as per linear equation to complete the wall.

A linear equation is an equation where the variable of the equation has the highest power of degree one.

Given, the 1st bricklayer build a complete wall of certain size in 5 hours.

Therefore, that bricklayer build [tex]\frac{1}{5}[/tex]th of the complete wall in 1 hour.

Similarly, the 2nd bricklayer build a complete wall of certain size in 4 hours.

Therefore, that bricklayer build [tex]\frac{1}{4}[/tex]th of the complete wall in 1 hour.

If they work together, in 1 hour they build a total of ([tex]\frac{1}{5}[/tex]+[tex]\frac{1}{4}[/tex])th = [tex]\frac{9}{20}[/tex] of the complete wall.

Hence, they will complete the wall in (1÷[tex]\frac{9}{20}[/tex]) hours = [tex]\frac{20}{9}[/tex] hours.

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