A sine function has the following key features:

Frequency = 1/8π

Amplitude = 6

Midline: y = 3

y-intercept: (0, 3)

The function is not a reflection of its parent function over the x-axis.

Did I get this correct?

The dimension of the box is 12 by 7 by 8

The volume of the box = lwh

Given the following

l = w

w = w - 5

h = w - 4

Hence;

w(w-5)(w-4) = 56w

Expand to have

(w^2-5w)(w-4) = 56w
w^3 - 4w^2 - 5w^2 + 20w = 56w
w^3 -9w^2 - 36w = 0

Factorize to get the value of w;

w(w^2-9w-36)=0

w^2 - 12w + 3w - 36 = 0

w(w-12) + 3(w-12)= 0
w = -3 and 12

Hence the dimension of the box is 12 by 7 by 8

Learn more on volume of box here: https://brainly.com/question/15532376

Answer:

i think it's 14:1 i can't understand 503500.

Answer:

p= angle180_(50+70)

p=180_120

angle p=60

Answer:

for A

volume of cuboid =10×8×3=240cm³

volume of cylinder =πr²h=π×4²×7=351.85cm³

so volume of cylinder is greater

for B

surface area of cuboid =2(LB+BH+LH)=2(10×8+8×3+10×3)=268cm²

surface area of cylinder =2πr(r+h)=2×π×4(4+7)=276.36cm²

so surface area of cylinder is greater surface area than of cuboid

Answer:

b or d

Step-by-step explanation:

Answer:

The distance between these two points is of 5 units.

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this question:

Distance between  (-7,-1) and (-4,3). So

[tex]D = \sqrt{(-4-(-7))^2+(3-(-1))^2} = \sqrt{3^2+4^2} = \sqrt{25} = 5[/tex]

The distance between these two points is of 5 units.

The sine function is:

f(x) = -2*sin(x/2) + 3.

So you got it almost correctly, you only forgot to apply the reflection.

We start with the general sine function:

[tex]a*g(w*x + p) +m[/tex]

where g(x) = sin(x)

f(0) = 2*sin(w*0 + p) + 3 = 3

      = 2*sin(p) + 3 = 3

Then we must have p = 0, so there is no phase shift.

We also know that we have a reflection over the x-axis of the parent sine function, we would actually have:

f(x) = 2*-sin(wx) + 3

Finally, to get the value of k we know that the period of the general sine function is 2*pi, while here is 4*pi, then we must have w = 1/2 to get the correspondent correction, so the function is:

f(x) = -2*sin(x/2) + 3.

This is almost the same thing that you got in the graph, where you only forgot to apply the reflection over the x-axis of the parent function.

If you want to learn more about sinusoidal functions, you can read:

https://brainly.com/question/18055768

Answer:

I know this is a year late, but I took this test it was quite challenging so here is my answer for you I took a picture of the graph because it's hard to graph without any reference pictures

hope this helps

Answer:

It represents growth, and the percentage rate of increase is of 8%

Step-by-step explanation:

Exponential equation:

An exponential equation has the following format:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which A(0) is the initial amount and r is the rate of change, as a decimal. If positive, it is growth, if negative, it is decay.

In this question:

[tex]y = 21(1.08)^x[/tex]

So

[tex]1 + r = 1.08[/tex]

[tex]r = 0.08[/tex]

Since r is positive, it represents growth, and the percentage rate of increase is of 0.08*100% = 8%

Answer:

JML is 26 degrees.

PMN is 64 degrees.

NMK is 26 degrees.

Answer:

1 biodata is on my class then you will contact or person

Answer:

hey

Step-by-step explanation:

Answer:

sgst

Step-by-step explanation:

Answer:

PLEASE HELP

For the right triangles below, find the values of the side lengths b and c.

Round your answers to the nearest tenth.

Step-by-step explanation:

PLEASE HELP

For the right triangles below, find the values of the side lengths b and c.

Round your answers to the nearest tenth.

Answer:

b = 1.7

c = 7.1

Step-by-step explanation:

the triangle with side 'b' is a 30-60-90° Δ where the ratio of sides, respectively, are 1 : [tex]\sqrt{3}[/tex] : 2

to find 'b' we could set up this proportion:

b/3 = 1/[tex]\sqrt{3}[/tex]

cross-multiply:

b[tex]\sqrt{3}[/tex] = 3

b = 3 / [tex]\sqrt{3}[/tex]

if we rationalize the denominator, this becomes (3[tex]\sqrt{3}[/tex])/3 which is [tex]\sqrt{3}[/tex] or 1.7

the other triangle is a 45-45-90°Δ where the ratio of the sides are 1 : 1 : [tex]\sqrt{2}[/tex]

if the legs are 5 then the hypotenuse is 5[tex]\sqrt{2}[/tex] or 7.1

2y+9y+x+3x+4y+3y

11y+4x+7z

Answer:

[tex] \frac{5}{3} [/tex]

~ See attatchment

Step-by-step explanation:

I'm unsure what you want me to do here, so I drew a graph (using Desmos) and the slope.

The slope is given, 5/3. The slope-intercept equation is usually y = mx + b -- m being the slope and b being the y-intercept.

Hi!

Let's check if the equation that we're going to work with is in slope-intercept form.

Remember, the slope-intercept formula is:

                                   [tex]\diamondsuit~~~\boldsymbol{y=mx+b}[/tex]

Where:

Details:

[tex]\boxed{\\\begin{minipage} {8cm}\sf{Slope = coefficient \ of \ x, \ or \ the \ number \ before \ x.}\\\sf{Y-intercept = \ a \ number \ added \ to \ or \ subtracted \ from \ the \ slope.} \end{minipage}}[/tex]

Therefore:

[tex]\stackrel{\heartsuit}{\boxed{\boxed{\textsc{Slope:}\quad\boldsymbol{\displaystyle\frac{5}{3}}}}}[/tex]

I hope I helped, have a wonderful day!

If you need any explanation or clarification, reach out to me, I'm always happy to help. :D

Answer:

76 is already in the simplest form. It can be written as 1.166667 in decimal form (rounded to 6 decimal places).

Answer:

We have to use heron’s formula to find the area of the triangle.   Here a=7cm, b=9cm and c=12cm  s = (a+b+c)/2 = (7+9+12)/2 = 28/2 = 14  Area of the triangle = √s(s-a)(s-b)(s-c)  = √14(14-7)(14-9)(14-12) = √14×7×5×2 = √2×7×7×5×2 = √5×(2×2)×(7×7) = 14√5 cm^2  Hence area Of the triangle is 14√5 cm^2.

Answer:

3/12

Step-by-step explanation:

10-7 is 3, so its 3/12.

Answer:In 3 years, you will have $1,462.32

Step-by-step explanation:

Answer:

F and B (as far as I can see).

Step-by-step explanation:

First, let's simplify the equation. You can easily do this by dividing by -4.

                                                  -4x < 20

                                                   /-4    /-4

                                                      x > -5

REMEMBER- Whenever dividing or multiplying a negative number with inequalities, the sign flips!!

On A, we can see that it has a negative symbol, but if we were to divide that, the sign would flip, making -5 greater than x. That's not what we want.

On B, the 20 is negative instead of the 4. Does this change anything?

                                                   4x > -20

                                                   /4    /4

                                                      x > -5

Nope! It still simplifies to what we had at the beginning so it works!

C and D are slightly confusing me because, well, I don't really see how it's relevant to anything so... It doesn't even have a inequality symbol so I don't know lol.

E is wrong because we need the 5 to be positive.

F is obviously right compared to our first answer.

Answer: F, b, a

Step-by-step explanation:

9514 1404 393

Answer:

  5) 112°

  6) 40°

Step-by-step explanation:

5) The angle E or ? is half the sum of the intercepted arcs:

  ? = (130° +94°)/2 = 112°

__

6) The angle D is half the difference of the intercepted arcs:

  ? = (135° -55°)/2 = 40°

Answer:

8

Step-by-step explanation:

8x5=40 + 5 = 45

That's the answer

Answer:

8.

Step-by-step explanation:

five times 8 is 40. add five is 45.

9514 1404 393

Answer:

   square with side length √17 units, so area 17 square units.

Step-by-step explanation:

Each side has a slope with a rise of 1 and a run of 4, or a rise of -4 and a run of 1. The ratios of these numbers are opposite reciprocals, so we know the sides are perpendicular. The sum of squares of these numbers is 17, so we know the sides are √17 and all are the same length. (The Pythagorean theorem tells us this.)

A quadrilateral with equal-length perpendicular sides is a square. This square has side length √17 units and area (√17)² = 17 square units.

Answer:

m+6 [tex]\geq[/tex] 30

Step-by-step explanation:

an inequlaity is a statment using greater than less than equal to ect.

fist m and 6 so

m+6 then the no less than so its greater than or equal to

[tex]\geq[/tex]

30

The inequality for the word expression is m+6 ≥ 30.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

An inequality is a statement using greater than less than equal to it. The product of a number m and 6 is no less than 30.

The inequality can be written as:-

m+6 then no less than so it is greater than or equal to 30

m+6 ≥ 30

To know more about inequality follow

https://brainly.com/question/24372553

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Answer:

x = 13, and y = 32.5

Step-by-step explanation:

A parallelogram's angles will all have to add up to 360 degrees.

We can count 55° and 60° twice, because of the interior angle rule.

So:

2 (55 + 60)

360 - 230 = 130

So:

5x = 2y = 65

130 ÷ 2 = 65

5x = 65

x = 65 / 5

x = 13

2y = 65

y = 65 / 2

y = 32.5

Answer:

the mean is 4.86 & the mad is 1.91 hope this helped you and pls give me the Brainly crown

Step-by-step explanation: