What is the rate of increase for the function f(x)= 1/3 (^3 √24)^2x

Answer:

Step-by-step explanation:

Look at the picture.

We have the triangle 30° - 60° - 90°. The sides are in ratio 1 : √3 : 2.

Therefore we have the equation:

[tex]x=\dfrac{8\sqrt3}{2}\\\\x=4\sqrt3[/tex]

Answer:

C - a line segment and a ray are both two-dimensional. Already has one endpoint and extends and One Direction indefinitely.

Step-by-step explanation:

Well, A ray is and endpoint with an indefinite line coming out of it.

(·--------------------->)

A line segment ends like this:

(·---------------------·)

They are both 2-dimensional. :)

Answer:

Step-by-step explanation:

Always do what is inside the brackets first.

345.5 * 0.98 = 338.59

Now raise this to the 9th power.

338.58^9 = 5.8488*10^22

You are now finished with the brackets.

8*4.9999a = 39.9992a

Now multiply by 5.84 * 10^22

2.3395 * 10^24

Answer: 15m3 - 26m2 + 11m - 4

Answer:

81y^4 - 16x^2, difference of squares.

Step-by-step explanation:

So we need to expand the following product:

(9y2-4x)(9y2+4x) = 9y2*9y2 + 4x*9y2 - 4x*9y2 -4x*4x = 81y^4 - 16x^2

And this type of product is the difference of squares.

Answer:

Step-by-step explanation:

The given expression is ( 9y² - 4x) (9y² + 4x)

We will simplify the given expression

(9y² - 4x) (9y² + 4x) = 9y² (9y² + 4x) - 4x (9y² + 4x)  [Distributive property]

= 81y⁴ + 36xy² - 36xy² - 16x²

= (81y⁴ - 16x²)

This simplified form is the difference of squares of terms (9y²) and (4x)

They were able to make 40 burgers with it

Answer: 40 hamburgers

Step-by-step explanation:

15 pounds x 16 ounces=240 ounces of hamburger meat

Each burger is 6 ounces 240 divided by 6= 40 hamburgers

This is a regular pyramid. A regular pyramid is a right pyramid whose base is a regular polygon and whose apex is directly above the centre of the base. The lateral surface area is the sum of the areas of all the lateral faces while  the surface area is the sum of all the lateral faces plus its base. In this exercise, the base is a square so this is also a square pyramid. Next, we have:

LATERAL SURFACE AREA:

For the lateral sides, we have four identical triangles, so the area of a triangle can be found as:

[tex]A=\frac{bh}{2} \\ \\ Where: \\ \\ b:base \\ \\ h:height[/tex]

and the lateral surface will be four times this value:

[tex]S_{L}=4A[/tex]

The base of the triangle is the same as the base of the square. So:

[tex]b=9yd[/tex].

On the other hand, the height of the triangle is the slant height of the pyramid, which is:

[tex]h=10yd[/tex]

So the area of a triangle is:

[tex]A=\frac{(9)(10)}{2} \\ \\ A=45yd^2[/tex]

Therefore:

[tex]S_{L}=4(45)\\ \\ \boxed{S_{L}=180yd^2}[/tex]

SURFACE AREA:

The surface area can be found as:

[tex]S=S_{L}+A_{b} \\ \\ Where: \\ \\ A_{b}: Area \ of \ the \ base \\ \\ S_{L}: Lateral \ surface[/tex]

Calculating the area of the base, which is a square, we have:

[tex]A_{b}=b^2 \\ \\ A_{b}=9^2 \\ \\ A_{b}=81yd^2[/tex]

Therefore:

[tex]S=180+81 \\ \\ \boxed{261yd^2}[/tex]

In this case, we have another similar pyramid compared to the previous one, but we are given the height of the pyramid and we'll name it [tex]H[/tex] in capital letter. We know that the area of a triangle is:

[tex]A=\frac{bh}{2} \\ \\ Where: \\ \\ b:base \\ \\ h:height[/tex]

and the lateral surface will be:

[tex]S_{L}=4A[/tex]

To find [tex]h[/tex], which is the slant height of the pyramid, we need to use the Pythagorean theorem. Next, it is true that:

[tex]h=\sqrt{\left(\frac{b}{2}\right)^2+H^2} \\ \\ b=14 \\ H=12 \\ \\ h=\sqrt{\left(\frac{14}{2}\right)^2+12^2} \therefore h=\sqrt{193}[/tex]

So the area of a triangle is:

[tex]A=\frac{(14)(\sqrt{193})}{2} \\ \\ A=7\sqrt{193}ft^2[/tex]

Therefore:

[tex]S_{L}=4(7\sqrt{193})\\ \\ S_{L}=28\sqrt{193}ft^2 \approx 388.9884[/tex]

Rounding to the nearest tenth:

[tex]\boxed{S_{L}=389.0ft^2}[/tex]

SURFACE AREA:

We know that the surface area can be found as:

[tex]S=S_{L}+A_{b} \\ \\ Where: \\ \\ A_{b}: Area \ of \ the \ base \\ \\ S_{L}: Lateral \ surface[/tex]

Calculating the area of the base, which is a square, we have:

[tex]A_{b}=b^2 \\ \\ A_{b}=14^2 \\ \\ A_{b}=196ft^2[/tex]

Therefore:

[tex]S=28\sqrt{193}+196 \\ \\ S \approx 584.9884ft^2[/tex]

Rounding to the nearest tenth:

[tex]\boxed{S=585ft^2}[/tex]

Here Patrick is making a paper model of castle. He has a net, so he can fold it to build up a pyramid. That's amazing, right? Well, recall that for a pyramid  like that the lateral surface area is the area of the lateral faces, that are all triangles. Thus, for a triangle:

[tex]A=\frac{bh}{2} \\ \\ Where: \\ \\ h: \ slant \ height \ of \ the \ pyramid \\ \\ b: base \ of \ the \ pyramid[/tex]

The slant height of the pyramid is [tex]h=20cm[/tex] because this is the same height of the triangle. On the other hand, the base is [tex]b=15cm[/tex]. So:

[tex]A=\frac{15(20)}{2} \\ \\ h=150cm^2[/tex]

Next the lateral surface area is:

[tex]S_{L}=4(150) \\ \\ \boxed{S_{L}=150cm^2}[/tex]

________________

Answer:

x = -5/7

Step-by-step explanation:

8               1

---------- = ----------

x+3           x+1

Using cross products

8 (x+1) = 1 (x+3)

Distribute

8x+8 = x+3

Subtract x from each side

8x-x +8 = x-x+3

7x+8 =3

Subtract 8 from each side

7x +8-8 =3-8

7x = -5

Divide each side by 7

7x/7 = -5/7

x = -5/7

Answer:

18° and 72°

Step-by-step explanation:

Complimentary angles form 90°

We have an angle (x) 4 times larger than the other (y).

Well actually, a system of equations isn't required, so forget about x and y, just divide 90 by 5. This gives you 18, one of the angle's measurements is 18°. Multiply 18 by 4 and get 72. The other angle's measurement is 72°.

Answer: [tex]10x^2+3xy+6x-y^2+3y[/tex]

Step-by-step explanation:

You need to remember the Product of powers property:

[tex](a^m)(a^n)=a^{(m+n)}[/tex]

Then, knowing this property, now you have to apply the Distributive property. So:

[tex](2x+y)(5x-y+3)=\\\\=(2x)(5x)-(2x)(y)+(2x)(3)+(y)(5x)-(y)(y)+(y)(3)\\\\=10x^2-2xy+6x+5xy-y^2+3y[/tex]

Finally, to simplify this expression, you need to add the like terms.

Therefore, you get that the product is:

[tex]=10x^2+3xy+6x-y^2+3y[/tex]

Answer:

10 3 6 -1 3

Step-by-step explanation:

Answer:

[tex]y=10x-32 \\ \\ x=\frac{y}{10}+3.2[/tex]

Step-by-step explanation:

[tex]y=10x-32[/tex]

Because that's the equation given.

To solve for x, isolate the variable and then divide by the coefficient.

[tex]y=10x-32 \\ \\ 10x=y+32 \\ \\ x=\frac{y}{10}+\frac{32}{10} \\ \\ x=\frac{y}{10}+3.2[/tex]

Answer:

5 x 5, 2 raised to the fifth power, 25

6 x 6 x 6, six cubed, 216

1/5 2, one fifth cubed, 1/5

62, 6 x 6, 36

hope this helped please give me the brainliest answer?

Have a good day ma dude!!! <3

2/3 divided by 6

2/3 times 1/6

1/9

Answer:  [tex]\bold{y=sin(4x)+3}[/tex]

Step-by-step explanation:

[tex]\text{The standard form of a sine equation is: y=A cos(Bx - C) + D}\\\\\bullet\text{A = amplitude}\\\\\bullet\text{Period = }\dfrac{2\pi}{B}\\\\\bullet\text{Phase Shift = }\dfrac{C}{B}\\\\\bullet\text{D = vertical shift (up if positive, down if negative)}[/tex]

The given information is:

[tex]\implies \large\boxed{y=sin(4x)+3}[/tex]

m - 8 + 143 - 5

Answer: m + 130

Final answer:

To simplify the expression m - 8 + 143 - 5, combine the numerical parts to get 130, then the simplified expression is m + 130.

Explanation:

To simplify the variable expression m - 8 + 143 - 5, you must combine the numerical parts of the expression and keep the variable part as is. The numerical parts are -8, +143, and -5.

First, simplify the numerical parts by addition and subtraction:
143 - 8 - 5 = 130.

Next, keep the variable m in the expression, so the simplified form of the expression is:

m + 130

This is straightforward numerical evaluation, where units are not involved and thus can be worked out easily without mathematical complexity.

Answer:

A. 183.71

Step-by-step explanation:

Original investment in stock plan = $5175

Increase in the first year of investment in stock plan = 9% of $5175

= 0.09 ( $5175)

= $465.75

then new value of investment in stock plan = $5175 + $465.75 = $5640.75

Loss in the investment of stock plan = 5% of $5640.75

= 0.05 ( $5640.75)

= $282.0375

then new value of investment in stock plan = $5640.75 - $282.0375 = $5358.7125

Now let's find difference between latest value and the original value of investment

$5358.7125 - $5175 = $183.7125

Hence choice A. 183.71 is correct.

ANSWER

[tex] \frac{1}{2} [/tex]

EXPLANATION

The frequency of a wave function refers to the number of times the graph repeats its cycle within the interval [0,2π]

We can observe explicitly from the graph that the frequency is half.

The period of the given function is 4π

[tex] \frac{2\pi}{b} = 4\pi[/tex]

[tex]b = \frac{2\pi}{4\pi} = \frac{1}{2} [/tex]

Hence the frequency is half.

Answer:

12/5

Step-by-step explanation:

I doubt that you actually meant If cos0= -5/13 and sin 0<0.  Please use a Greek letter, such as Ф, to represent the angle.

If you'd do this, you'd have:

If cosФ= -5/13 and sin Ф<0

cos Ф and sin Ф are both negative in Quadrant III.

Recall that cos Ф = adj / hyp, and that hyp is always +.  Thus, adj = -5 and hyp = +13.  Using the Pythagorean Theorem to find opp:

opp² + adj² = hyp², or:

opp² = hyp² - adj².  Applying this, we find that opp = -12.

Recall that tan Ф = opp / adj.

Here,

tan Ф = -12 / (-5) = +12/5

Answer:

b

Step-by-step explanation:

The solution of the equations 3x + 2y = 13 y = x - 1 will be (3, 2). Then the correct option is B.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equations are given below.

3x + 2y = 13 ...1

y = x - 1 ...2

Then from the equations 1 and 2, we have

3x + 2(x - 1) = 13

        5x - 2 = 13

             5x = 15

               x = 3

Then the value of y will be

y = x - 1

y = 3 - 1

y = 2

More about the linear system link is given below.

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ANSWER

[tex]{ \tan(y) } = \frac{ \sqrt{7} }{3}[/tex]

EXPLANATION

If

[tex] \sin(X )= \frac{3}{4} [/tex]

[tex] \sin(X )= \frac{opposite}{hypotenuse} [/tex]

This implies that the opposite is 3 units and the hypotenuse is 4 units.

We now find the adjacent side using the Pythagoras Theorem.

[tex] {a}^{2} + {o}^{2} = {h}^{2} [/tex]

[tex] {a}^{2} + {3}^{2} = {4}^{2} [/tex]

[tex]{a}^{2} + 9 =16[/tex]

[tex] {a}^{2} =16 - 9[/tex]

[tex]{a}^{2} = 7[/tex]

[tex]{a}= \sqrt{7} [/tex]

[tex] { \tan(y) } = \frac{opposite}{adjacent} [/tex]

The side opposite to Y is √7 and the side adjacent to Y is 3.

[tex] { \tan(y) } = \frac{ \sqrt{7} }{3} [/tex]

The method of calculating the area of a polygon depends on the type of polygon. Rectangles and triangles have straightforward calculations, however complex polygons might need to be divided into simpler figures. Certain figures such as circles and ellipses have unique formulas.

Calculating the area of a polygon depends on the type of polygon. For simple regular polygons like a rectangle, area can be found by length x width, for triangles it's base x height / 2. In particular complex polygons, the shape might need to be divided into simpler shapes, and the areas calculated separately.

For a circle, the area A = πr², where r is the radius. If you're trying to find the area of an ellipse, it can be calculated by A = πab, with a and b being half the long and short axis respectively.

The process to determine the area of a frequency polygon is little complex. First, the range of each class interval must be determined, and then multiplied by the frequency of that interval, with these values then being added together.

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To find the area of a polygon, you can divide it into smaller shapes with known area and add them up. Alternatively, you can use the formula for the area of a regular polygon.

To find the area of a polygon, you can use different formulas depending on the type of polygon. One general method is to divide the polygon into smaller shapes whose area you know how to calculate, such as triangles or rectangles, and then add up the areas of those shapes. For example, to find the area of a rectangle, you multiply its length by its width.

Another method is to use the formula for the area of a regular polygon, which is given by the formula: Area = 1/2 * ap, where 'a' is the apothem (the distance from the center of the polygon to the middle of one of its sides) and 'p' is the perimeter of the polygon.

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A circle has 360°

Each percent of a circle represents 3.6°

Faucets contributed to 12% of the used water.

12 * 3.6° = 43.2°

Answer:

  Initially, the tundra has 180 caribou, and every year , the number of caribou increases by a factor of 1.2 .

Step-by-step explanation:

"Initially" generally means "when t=0." Put 0 where t is in the function and evaluate it:

  f(0) = 1.8(1.2)^0 = 1.8(1) = 1.8 . . . . . hundreds

1.8 hundreds is 1.8×100 = 180.

__

t is in years, so the simplest choice for the second blank in the statement is "year".

__

The exponent of 1.2 is t, which means that 1.2 is a factor of the expression the number of times specified by t.

  for t=0, f(0) = 1.8

  for t=1, f(1) = 1.8(1.2)

  for t=2, f(2) = 1.8(1.2)(1.2)

  for t=3, f(3) = 1.8(1.2)(1.2)(1.2)

Perhaps you can see that every year, the number increases by a factor of 1.2.

_____

You could put "3 years" in the second blank, then the third blank would be 1.2³ = 1.728. While correct, it is probably not what is expected by your answer checker.

Answer:

180

1 year

1.2

Step-by-step explanation:

got it correct on edmentum

Answer:

thats just things u needto remember.

Step-by-step explanation:

The expression is not factorable with rational numbers.

5

x

−

9521

The solution of the inequality {5x < 9521} is given by the inequality → x < 1904.2.

An inequality is used to compare two or more expressions or numbers.

For example -

2x > 4y + 3

x + y > 3

x - y < 6

Given is to find the solution set of the inequality →

5x < 9521

The given inequality is -

5x < 9521

Dividing by {5} on both sides, we get -

(5x/5) < (9521/5)

x < 1904.2

Therefore, the solution of the inequality {5x < 9521} is given by the inequality → x < 1904.2.

To solve more questions on inequality, visit the link-

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Answer:

180

Step-by-step explanation:

Ok first lets find out what 1/5 of 400 dollars is: 400/5= 80

So 1/5 of 400 is 80, now lets see what 2/5 is= 80 * 2= 160

Then subtract: 400 - 160= 240

we have 240 left. If he spent 1/4 of that on a vacuum cleaner then we have to: 240/4=60

He spent 60 dollars, now to find the remaining we must subtract: 240-60=180

Hope this helped ;)

So 2/5 is 0.4

0.4 of 400=160

400-160=240

240 is the remainder(what is left)

He used 1/4

1/4=0.25

240*1/4 =60

So 240-60=180

So your answer is: Mr.Ray will have $180 left.

Answer:

Terms (in BOLD) : 3x+10

two terms

Coefficients (in BOLD) : 3x+10

one coefficient

Constants (in BOLD) : 3x+10

one constant

Step-by-step explanation:

Terms are the contents in the equation of such. For example, 10+4n. There are two terms. Coefficients are the number next to a variable. For example, 9x. 9 is the coefficient. Constants are numbers without a variable. Numbers like 7, 8, 9, 10-- they don't have variables so they are constants in an equation. Now, knowing this information lets get to work!

The equation: 3x+10

Terms (in BOLD) : 3x+10

two terms

Coefficients (in BOLD) : 3x+10

one coefficient

Constants (in BOLD) : 3x+10

one constant

Hope this helps!!

-Ketifa

Final answer:

The expression 3x+10 consists of two terms: 3x (with the coefficient 3) and 10 (the constant).

Explanation:

In the expression 3x+10, there are two terms: 3x and 10. The term 3x consists of a variable (x) and a coefficient (3), which is the number multiplying the variable.

The term 10 is a constant because it does not contain any variables and its value does not change. The coefficients in this expression are therefore the number 3, and the constant is 10.

Answer:f

1/4y +-7/4 is your answer hope this help if it did mark me brainliest

Step-by-step explanation:

Answer:

p = 8

Step-by-step explanation:

Subtract 18 from behind the equal sign to cancel it out. This leaves you with 2(p+1)- 18= 0.

Next you'll need to pull out the terms to work with the beginning of the problem. 2(p+1)- 18= 0 would turn into 2p - 16  = 2(p - 8).

This would leave you with 2= 0, but that's not true so continue on to the variable.

So p - 8= 0 making the answer p = 8

Answer:

£x = 100x pence

Step-by-step explanation:

£1 = 100 pence

£x = 100x pence

Answer:

100x pence

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

We know that £1 = 100 pence so from this knowledge we can

£x = 100 p

Answer choice C, 1.5 x 3= 4.5

your correct answer would be c. 3