A quantity with an initial value of 4000 grows exponentially at a rate of 0.05% every 5 decades. What is the value of the quantity after 1 year, to the nearest hundredth?

Answer:

4 ÷ 1,000 = 0.004

Rounding up to 0 as the nearest whole number

Using the permutation formula, it is found that it's number as a ratio of factorials is given by:

[tex]N = \frac{9!}{4!}[/tex]

The order in which the letters are chosen is important, hence the permutation formula is used to solve this question.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, five letters will be chosen from a set of nine, hence:

[tex]N = P_{(9,5)} = \frac{9!}{(9-5)!} = \frac{9!}{4!}[/tex]

More can be learned about the permutation formula at https://brainly.com/question/25925367

Answer:

28

Step-by-step explanation:

I assume the polygon is a trapezoid with parallel bases of 2 yd and 5 yd, and an altitude of 8 yd.

area of trapezoid = (base1 + base2)h/2

area = (2 yd + 5 yd)(8 yd)/2

area = 28 yd²

Answer:

Median: 5

Interquartile range: 4

Have an amazing day!

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Answer:

I think so Option D is the correct answer

I'll do the first three questions to get you started.

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Question 1

x = horizontal component of the triangle

cos(angle) = adjacent/hypotenuse

cos(theta) = horizontal/hypotenuse

cos(40) = x/30

x = 30*cos(40)

x = 22.98133329 approximately

This is the horizontal force applies to the suitcase.

Work = force*displacement

Work =  22.98133329*120

Work = 2,757.7599948

Work = 2,758

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Question 2

Add the drone's relative air velocity and the wind velocity vectors.

v+w = (13i + 3j) + (-7i - 2j)

v+w = (13i-7i) + (3j-2j)

v+w = 6i + j

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Question 3

Check out the diagram below. Focus on the smaller triangle. Notice the placement of angle theta.

sin(theta) = opposite/hypotenuse

sin(40) = x/200

x = 200*sin(40)

x = 128.557521937308

x = 128.558

Step-by-step explanation:

it is negative so the slope must go downwards from left to right. since it is 1/3, for every 3 to the right, you go one down.

Answer:

-4.9

Step-by-step explanation:

Since the number 26.95 has two decimal places, it can be turned into a whole number with a denominator having two zeroes; 100

        2695

         100

Then change -5 1/2 into an improper fraction; = -5 × 2 + 1

                                                                                    2

                                           = -11/2

2695 ÷ ( -11 )

 100         2

  Reciprocate (put denominator as numerator and vice-versa ) the equation after the ÷ sign. After doing so, the ÷ sign changes to × sign.

Hence:   2695 × ( 2 )

                 100      -11

Then, cross multiply.

          100 ÷ 2              50

     -245 ÷ 50

         = -4.9

Answer: its -4.9

Step-by-step explanation:

[tex]18 = 2\times 3 \times 3\\\\30 = 2 \times 3 \times 5\\\\\text{HCF}~ = 2\times 3 = 6[/tex]

Answer:

2 rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Step-by-step explanation:

1+1 is 2

Answer:

x=6 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

Hope the picture will help you

Answer:

80 Percent

Step-by-step explanation:

Since she has done 6/30 pages, she has 24/30 more pages to complete. Convert 24/30 to a decimal by dividing 24 by 30 to get the percentage, which is 80 percent

Hopefully this helps - let me know if you have any questions!

Answer:

all shown in the picture !

Step-by-step explanation:

also shown in the picture

It is a tool as it represents the language of patterns.

It is also a means of working with abstract notions and then applying them, which frequently leads to the formation of generalisations and insights outside of the original context.

Answer:

76,400

Step-by-step explanation:

I think this is right, not sure though.

Surface area of sphere:

[tex]4\pi \times r {}^{2} [/tex]

Circumference :

[tex]2(\pi \times r)[/tex]

489.84 = 2 × 3.14 × r

2 × 3.14 = 6.28

489.84 = 6.28 × r

radius = 489.84 ÷ 6.28

R =78

Surface Area = 4 × 3.14 × (78)^2

Surface area = 76,415.04

= 76,400

Answer:

5

Step-by-step explanation:

Answer:

[tex]100\pi[/tex]

Step-by-step explanation:

Step 1: Identity the radius.

Since O is the center of the circle, and C and E lie on the circumference, OC and OE are the radii of the circle and thus,

OC=OE.

Step 2: Consider the rectangle.

All diagonals in a rectangle are congruent so this means

DB= OC ( OC is also a diagonal).

Thus, OC= 10 units.

Step 3: Analyze

So this means OE is also 10 units as well.

Since we know the length of the radius, Use the area of circle,

[tex]\pi {r}^{2} [/tex]

[tex]\pi( {10}^{2} ) = 100\pi[/tex]

So the area of a circle is 100 pi.

Answer:

  314.2 square units

Step-by-step explanation:

The diagonals of a rectangle are the same length, so segment OC is the same length as segment DB: 10 units. OC is a radius of the circle, which means the circle's radius is 10 units.

The area of a circle is given by ...

  A = πr²

  A = π(10 units)² = 100π units²

  A ≈ 314.2 units²

The area of circle O is about 314.2 square units.

Answer:

4-1.5 or 21/5 or 4.2

Step-by-step explanation:

Multiple: 7 * 3/5 = 7 · 3/1 · 5 = 21/5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(21, 5) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - seven multiplied by three fifths = twenty-one fifths.

Answer:

probably 200

Step-by-step explanation:

or something like that

Check by using sum of angles of triangle = 180°

Answer:

65449.8 cm3

Step-by-step explanation:

We start with the volume formula for a sphere: 4/3 πr3

We start with subbing in 25 to r, then we cube 25, which is equal to 15625.

We multiply 4/3 and pi. And lastly we multiply what we got by 15625 and either round the answer or fphaving fixed your calculator.

Answer:

Your answer is t>28

Have a nice day!

mark as brainliest

Answer:

T>28

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

To Find:

Solution:

Let's assume Width of rectangle x inches and length be 3x inches. To calculate the dimensions of The rectangle we will use the formula of Perimeter of rectangle:

Perimeter of rectangle = 2(L + B)

→ 64 = 2(3x + x)

→ 64 = 2(4x)

→ 64/2 = 4x

→ 32 = 4x

→ 32/4 = x

→ 8 = x

Hence,

Answer:

⠀

Step-by-step explanation :

⠀

As it is given that, the legnth of a rectangle is three times its width and the perimeter is 64 in and we are to find the length and width of the rectangle. So,

⠀

Let us assume the width of the rectangle as w inches and therefore, the length will be 3w inches .

⠀

Now, According to the Question :

⠀

[tex]{\longrightarrow \qquad { \pmb{\frak {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}[/tex]

⠀

[tex]{\longrightarrow \qquad { {\sf{2 (3 x + x )= 64 }}}}[/tex]

⠀

[tex]{\longrightarrow \qquad { {\sf{2 (4x )= 64 }}}}[/tex]

⠀

[tex]{\longrightarrow \qquad { {\sf{8x= 64 }}}}[/tex]

⠀

[tex]{\longrightarrow \qquad { {\sf{ x = \dfrac{64}{8} }}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ \underline{ \boxed { \pmb{\mathfrak {x = 8}} }}} }\: \: \bigstar[/tex]

⠀

Therefore,

⠀

Now, We are to find the length of the rectangle:

[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = 3x }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ { \frak{\pmb{Length = 3 \times 8 }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ \underline{ \boxed{ \frak{\pmb{Length = 24}}}}}} \: \: \bigstar[/tex]

⠀

Therefore,

⠀

Step-by-step explanation:

f(x) goes through the point (0, 1).

g(x) goes through (2, 1) for the same y value.

that means g(x) is f(x) translated 2 units to the right.

but we could also look at the same x value (0).

then g(x) goes through (0, -5).

and that means g(x) is f(x) translated 6 units down.

since it is a line function, shifting it left/right or up/down makes no difference to the shape or position of the new curve itself.

as it looks like you don't have 6 in the drop-down menu, then 2 units (to the right) is the desired correct result.

that means g(x) = f(x-2) = 3(x-2) + 1 = 3x - 6 + 1 = 3x - 5

and that is what the graph is showing us.

Answer: C. [tex]\pi[/tex]

=======================================================

Explanation:

The x intercept always occurs when y = 0.

Use the unit circle to determine that [tex]\cos(\theta) = 0[/tex] when [tex]\theta = \frac{\pi}{2} \text{ and } \theta = \frac{3\pi}{2}[/tex]

So if [tex]x = \pi[/tex], then we have

[tex]y = \cos\left(\frac{1}{2}x\right)\\\\y = \cos\left(\frac{x}{2}\right)\\\\y = \cos\left(\frac{\pi}{2}\right)\\\\y = 0\\\\[/tex]

which shows us that [tex](\pi, 0)[/tex] is the location of one of the infinitely many x intercepts for this function.

Answer: 3 11/12

Step-by-step explanation:

1 1/3 * 2 = 2 2/3

5/8 * 2 = 1 1/4

2 2/3 + 1 1/4 = 3 11/12

Finding the p-value of the test using the z-distribution, as we are working with a proportion, it is found that this was a significant difference for levels of significance of 0.02 and lower.

At the null hypothesis, we test if the proportion is of 50.3%, hence:

[tex]H_0: p = 0.503[/tex]

We have a two-tailed test, hence at the alternative hypothesis we test if the proportion is different, that is:

[tex]H_1: p \neq 0.503[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

In this problem, the parameters are:

[tex]n = 300, \overline{p} = \frac{171}{300} = 0.57, p = 0.503[/tex]

Hence:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.57 - 0.503}{\sqrt{\frac{0.503(0.497)}{300}}}[/tex]

[tex]z = 2.32[/tex]

Considering a two-tailed test, using a z-distribution calculator, the p-value is of 0.0203. Hence this was a significant difference for levels of significance of 0.02 and lower.

More can be learned about the z-distribution at https://brainly.com/question/26454209

[tex]\orange\bigstar \bold{ solution}[/tex]

[tex]\bold{f(x) = x³ - \frac{1}{x³ } }[/tex]

[tex]\bold{f ( \frac{1}{x} )= \frac{1}{x³} -x³ } [/tex]

[tex]\bold{f (x) + f (\frac{1}{x}) = (x³- \frac{1}{x³} ) + ( \frac{1}{x³} -x³)}[/tex]

[tex]\bold{ = 0 }[/tex]