Find the amplitude and period of y = 5 cos (4x)

Answer:

Hello there! The answer is 3 seconds.

By analyzing when the piecewise function increases and when it decreases, we can conclude that the true statement is:

"The function is increasing over the interval −8≤x≤−2."

We know that our function is made of straight lines that connect:

(to see if it increases or decreases, compare the y-value of the second and first point. If the second is larger, then the line increases).

Then the statement that is true is:

3) "The function is increasing over the interval −8≤x≤−2."

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

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Answer:

Step-by-step explanation:

Dimensions: 1 x 1 x 36 or 12 x 3 x 1 or 9 x 4 x 1 or 9 x 2 x 2

The dimensions of a pyramid are usually described in terms of its base and height. The base of a pyramid is the polygonal shape at the bottom of the pyramid, and the height is the perpendicular distance from the base to the apex.

To find the dimensions of a pyramid with a volume of 36 cubic units, we need to use the formula for the volume of a pyramid:

Volume of a pyramid = (1/3) x Base area x Height

Let's assume that the base of the pyramid is a square with sides of length "a". Therefore, the base area of the pyramid is a x a = a^2.

Now, we can substitute the given volume of 36 cubic units into the formula:

36 = (1/3) x a^2 x h

Multiplying both sides by 3 and dividing by a^2, we get:

h = 108/a^2

So, the height of the pyramid is equal to 108 divided by the square of the length of one side of the base.

We can choose any value for "a" and calculate the corresponding value of "h" that will result in a volume of 36 cubic units.

For example, if we choose "a" to be 3 units, we get:

h = 108/3^2 = 12 units

Therefore, the dimensions of the pyramid are:

Base: 3 units x 3 units

Height: 12 units

Checking the volume using the formula, we get:

Volume of the pyramid = (1/3) x 3^2 x 12

Volume of the pyramid = 36 cubic units

So, a pyramid with a base of 3 units by 3 units and a height of 12 units would have a volume of 36 cubic units.

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Brent estimates that the model's circumference is about 3 times the measure of the circle's diameter, with this, he can estimate the area.

A circle is the locus of a point, such that the distance from a fixed point (center) is always constant.

The circumference of a circle is given by:

Circumference = π * diameter

Brent estimates that the model's circumference is about 3 times the measure of the circle's diameter, with this, he can estimate the area.

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Answer:

4y-3

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Number of boxes can be filled

= (60 x 50 x 30) ÷ (10x10x10)

= 90

Answer:

90

Step-by-step explanation:

P = L×W×H

=60×50×30

P= 90,000

P= L×W×H

=10×10×10

P=1,000

90,000 ÷ 1,000 = 90

So, 90 pieces of terry in one cartoon

I think it's help

Answer:

I'm not sure if you mean 5 x 105 which = 525. Or 5 x 10^5 which = 500,000

Step-by-step explanation:

The answer to the first one. is easy, you just have to multiply it first. The second one is pretty simple too. You would have move or shift the decimal point 5 times to the right.

Answer: PH, ground

Step-by-step explanation: edge2022

In this lab, you observed how pollutants affected the" PH "of water. You also modeled and observed how pollution affected freshwater sources, including surface water and the water in the" ground "

Water pollution can be defined as the abnormal accumulation of strange elements in the water with harmful consequences to natural ecosystems.

Water pollution involves all the possible ways in which any water body can be contaminated with harmful elements.

The source of water pollution is human activities, producing the biggest damage to natural ecosystems.

Contaminating elements might be either gasses, solid material, or liquid material Such as Chemical elements, microbiota, heavy metals, and sediments affect all forms of life.

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The value of sin-1(1) is negative startfraction pi over 2 endfraction, startfraction -pi over 2 endfraction.

The value of sin (π/2) is equal to the number 1. The value of the sin-1(1) has to be find out.

Suppose the value of this function is x. Thus,

[tex]x=\sin^{-1}(1)[/tex]

Solve it further,

[tex]\sin(x)=(1)[/tex]              ......1

The value of sin (π/2) and -sin (-π/2) is equal to 1 such that,

[tex]\sin\dfrac{\pi}{2}=-\sin\left(-\dfrac{\pi}{2}\right)=1[/tex]

Put this value in the equation 1,

[tex]\sin(x)=\sin\left(\dfrac{\pi}{2}\right)=-\sin\left(-\dfrac{\pi}{2}\right)[/tex]

Thus, the range will be,

[tex]\left(\dfrac{\pi}{2},-\dfrac{\pi}{2}\right)[/tex]

Thus, the value of sin-1(1) is negative startfraction pi over 2 endfraction, startfraction -pi over 2 endfraction.

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Answer: C

Step-by-step explanation:

edge

Answer:

115.85

Step-by-step explanation:

Answer:

Jenna is correct.

Step-by-step explanation:

See attached image.

Step-by-step explanation:

[tex]\huge\mathfrak\red{Hope it's help}[/tex]

Answer:

  Leon (2.12), Jacon (2.40), Ashley (2.50), Mika (2.57)

Step-by-step explanation:

Putting a mix of rational and irrational numbers into numerical order can be done by using approximations to them of sufficient precision to be able to tell them apart.

Here, we can make the following approximations:

  √17 -2 ≈ 2.12

  1 +π/2 ≈ 2.57

Of course, the decimal value of 12/5 is 2.40, so the numbers will be arranged in order if Mika moves to the right end:

  Leon (2.12), Jacon (2.40), Ashley (2.50), Mika (2.57)

__

Your calculator can help with this.

Answer:72

Step-by-step explanation:6 x 12=72

Answer:

15 ×10^-6

Step-by-step explanation:

1 m = 100 cm

1m^3 = 100^3 cm^3

1m^3 = 1×10^6 cm^3

15 cm^3 = 15 / 1×10^6 = 15×10^-6 m^3

Answer:

Step-by-step explanation:

Answer: 3 and 5 (b and g)

Step-by-step explanation:

I got it correct on Edge

Answer:

0.8-0.6=0.2 or 1/5, one fifth.

Step-by-step explanation:

hope this helps

Answer:

My favorite subject is Science

Step-by-step explanation:

Because it’s really interesting and the concepts about everything that could and will happen is fascinating

Answer:

a. [tex]x^{2} + 3y^{3}[/tex]

b. [tex]3y^{3} -6[/tex]

c. [tex]5x -3[/tex]

d. -6t - 5

Step-by-step explanation:

When a number has the same variable as another, you can add or subtract them

So for the first one, you can do

[tex]5x^{2} -4x^{2} = 1x^{2} = x^{2}[/tex]

(But don't forget the [tex]3y^{3}[/tex]!)

So it is:

[tex]x^{2} + 3y^{3}[/tex]

Continue this process for the rest of them

Answer:

$2.51

Step-by-step explanation:

12.55/5= 2.51

a bag of dog treats is 2.51 per bag

The circumference of a circle is the same as the perimeter of the circle.

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

The circumference of a circle is the same as the perimeter of the circle. It is given by:

Circumference = 2π × radius = π * diameter

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Answer:

X=70⁰

Step-by-step explanation:

Angle X and the angle that is 70⁰ , are corresponding angles. Corresponding angles are the pairs of angles that are found in the same relative position on different intersections.

Answer:

x=70

Step-by-step explanation:

Angle X and 70⁰ are corresponding angles.

X = 1

Explanation :

when you multiply negative 2 by negative six you get twelve. when you multiply positive one by negative six you get negative six.

Answer: X = 1

Step-by-step explanation:

give other brainliest

Answer:

see attached graph

Step-by-step explanation:

Given equation:  [tex]y=x^2-4x+3[/tex]

Standard form of a quadratic equation: [tex]y=ax^2+bx+c[/tex]

where [tex]c[/tex] is the y-intercept

If [tex]a > 0[/tex] then the parabola opens upwards.

If [tex]a < 0[/tex] then the parabola opens downwards.

Therefore, the y-intercept of the graph is (0, 3)

To find the x-intercepts, factor the equation:

       [tex]y=x^2-4x+3[/tex]

[tex]\implies y=x^2-x-3x+3[/tex]

[tex]\implies y=x(x-1)-3(x-1)[/tex]

[tex]\implies y=(x-3)(x-1)[/tex]

Therefore, the x-intercepts of the graph are (3, 0) and (1, 0)

To determine the vertex, differentiate the equation:

[tex]\implies \dfrac{dy}{dx}=2x-4[/tex]

Set to zero and solve for x:

[tex]2x-4=0 \implies x=2[/tex]

Substitute [tex]x=2[/tex] into the original equation and solve for y:

[tex]\implies y=(2)^2-4(2)+3=-1[/tex]

Therefore, the vertex (or turning point) is at (2, -1)

Answer:

9

Step-by-step explanation:

GCF of 27 and 45 is 9.

Look at the image... I hope this image helps you.

Step-by-step explanation:

it may hint for you by this you can go easily it change for me sorry

Answer:

(2,4)====(-4,2)

(4,3)===(-3,4)

(2,3)====(-3,2)

Answer:

120

Step-by-step explanation:

The formula [tex]nCk=\frac{n!}{k!(n-k)!}[/tex] describes how many ways [tex]k[/tex] items can be chosen given [tex]n[/tex] total items. In this scenario, [tex]n=10[/tex], and [tex]k=3[/tex], thus:

[tex]\frac{10!}{3!(10-3)!}=120[/tex]

This means that you can make 120 three-vegetable plates