Test 4,580 for divisibility by 2, 3, 5, 9, and 10.

Step-by-step explanation:

so, there is a population in that planet. right ?

that means they discovered a populated planet.

anyway,

18 years

p0 is the start population.

p0 × 2 after 3 years

p0 × 2 × 2 = p0 × 4 after 6 years

p0 × 4 / 6 after 6 years

(p0 × 4 / 6) × 2 after 9 years

(p0 × 4 / 6) × 4 after 12 years = p0 × 8/3 after 12 years

(p0 × 8/3) / 6 after 12 years = p0 × 8/18 = p0 × 4/9

p0 × 4/9 × 2 after 15 years

p0 × 4/9 × 4 after 18 years

p0 × 4/9 × 4 / 6 after 18 years = p0×16/54 = p0 × 8/27 = 512

p0 = 512×27/8 = 1728

p(n) = p0 × (2/3)^(n/6)

with n being years.

because

the population changes by a factor 2 every 3 years = 2^(n/3)

and by a factor 1/6 every 6 years = (1/6)^(n/6).

so,

p(n) = p0 × 2^(n/3) × (1/6)^(n/6)

2^(n/3) = 2^(2n/6) = 2²^(n/6) = 4^(n/6)

therefore,

p(n) = p0 × 4^(n/6) × (1/6)^(n/6) =

= p0 × (4/6)^(n/6) = p0 × (2/3)^(n/6)

Answer:

C)  I, III, IV, II

Step-by-step explanation:

Convert each number into a decimal:

\(\textsf{I.} \quad \dfrac{58}{67}=0.86567...\)

\(\textsf{II.} \quad 0.58\%=\dfrac{0.58}{100}=0.0058\)

\(\textsf{III.} \quad 58\%=\dfrac{58}{100}=0.58\)

\(\textsf{IV.} \quad 5.8\%=\dfrac{5.8}{100}=0.058\)

Comparing the tenths of all the numbers, 8 is the biggest tenth, so 58/67 is the largest number.

The next biggest tenth is 5, so 58% is the next largest number.

The two remaining numbers have zero tenths, so compare their hundredths. 5 is the largest hundredth, so 5.8% is the next largest number.  Therefore, 0.58% is the smallest number.

Therefore, the given set of numbers in order from greatest to least is:

Answer:

c) I, III, IV, II

Step-by-step explanation:

Values of l, ll, lll & lV respectively,

→ 58/67, 0.58%, 58%, 5.8%

→ 0.87, 0.0058, 0.58, 0.058

Arranging them in descending order,

→ 0.87 > 0.58 > 0.058 > 0.0058

→ 0.87, 0.58, 0.058, 0.0058

→ l, lll, lV, ll

Hence, the option (c) is correct.

Answer:

x is -1/b yw

Step-by-step explanation:

Therefore, the number that satisfies all the given conditions is 60,649.

In mathematics, an equation is a statement that asserts the equality of two expressions, typically separated by an equals sign ("="). The expressions on either side of the equals sign are called the left-hand side and the right-hand side of the equation, respectively. The purpose of an equation is to describe a relationship between two or more variables or quantities, such as x + 3 = 7 or y = 2x - 5. Equations can be used to solve problems and answer questions in various fields of study, such as algebra, geometry, physics, chemistry, and engineering. Solving an equation typically involves finding the value or values of the variable(s) that make the equation true. Some equations may have a unique solution, while others may have multiple solutions or no solutions at all. The study of equations and their properties is a fundamental topic in mathematics.

Here,

Let's break down the clues given in the problem and use them to find the unknown number:

6 ten thousands: The number must start with 6.

2 fewer thousands than ten thousands: The number of thousands is 2 less than the number of ten thousands. Since there are 6 ten thousands, there are 4 thousands.

Same number of hundreds as ten thousands: The number of hundreds is the same as the number of ten thousands, which is 6.

1 fewer ten than ten thousands: The number of tens is 1 less than the number of ten thousands, which is 6-1=5.

5 more ones than thousands: The number of ones is 5 more than the number of thousands, which is 4+5=9.

Putting all of these clues together, we get the number: 60,649

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The measure of the diagonal of given rectangular bulletin board is 6x+0.3 meters.

Given that, MN=4x-0.1 meters and NK=2x+0.4 meters.

Here, diagonal = MK=MN+NK

= 4x-0.1+2x+0.4

= 6x+0.3

Therefore, the measure of the diagonal of given rectangular bulletin board is 6x+0.3 meters.

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The volume of the composite figure in this problem is given as follows:

76 ft³.

The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:

Volume = length x width x height.

The figure in this problem is composed by two prisms, with dimensions given as follows:

Hence the volume is given as follows:

2 x 6 x 3 + 2 x 4 x 5 = 76 ft³.

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Answer:

1 and 3,  if im wrong i am sorry I have not don this in a long time

Step-by-step explanation:

Answer:

I can't read the numbers correctly but a supplementary angles are angle that equal 180*

Hope this helped a little :)

Step-by-step explanation:

By definition of proportion, the value of x is,

⇒ x = 80

We have to given that;

In a triangle,

Perpendicular = 60

Now, By Pythagoras theorem we get;

60² = 36² + y²

3600 = 1296 + y²

y² = 3600 - 1296

y² = 2304

y = 48

Hence, By definition of proportion;

⇒ x / 48 = 60 / 36

⇒ x = 80

Thus, By definition of proportion, the value of x is,

⇒ x = 80

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The segment XT splits the trapezoid exactly in half. The average of RS and Q will give us XT because of the properties of a trapezoid.

We find the area of a trapezoid by averaging the bases as well.

RS + Q / 2 = XT

RS + 26 / 2 = 22

RS + 26 = 44

RS = 18

Hope this helps!

Answer:

3,5,6

Step-by-step explanation:

because 300 divided by 2 is 150

50 divided by 2 is 25

and 6 divided by 2 is 3

Answer:

its 1000 more than the number there you go

Answer:

P=8T/V

Step-by-step explanation:

V=8T/P

PV=8T

P=8T/V

Answer:

45

Step-by-step explanation:

A. The graph of the absolute value function is V-shaped, with the features given as follows:

B. The transformation is that the function was shifted right two units, hence the features are given as follows:

The absolute value function, with vertex (h,k), is defined as follows:

y = |x - h| + k.

The features of the function are given as follows:

For the first item, the function is |x + 3|, hence we just have to identify the features.

For the second function, the definition if h(x) = |x - 2|, with vertex at (2,0), meaning that the function was shifted two units right from the parent absolute value function y = |x|. The shift just changes the turning point of the graph, not altering domain and range.

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Answer:

16 in

Step-by-step explanation:

50 ft x 12 in/ft = 600 in

Scale factor:  2 : 600 = 1 : 300

x = length of island on the map

400 ft = 4800 in

1/300 = x/4800

x = 4800/300 = 16 in

Answer: x = 70

Step-by-step explanation:

You can simply solve for x by simplifying both sides of the equation, then isolating the variable

Solve, x/7 - 2 = 8, for x.

x/7 = 10, added the value of 2 to both sides of the equation.

x=70, multiplied the value of 7 to both sides of the equation.

Thus the value of x is equal to 70.

Answer:

9 tapes

Step-by-step explanation:

First, subtract the handling charge from his $78.

78 - 3.50 = 74.5

So, Brian has $74.50 to purchase tapes. Each tape costs $7.50, so let's find out how many he can purchase.

74.50 / 7.50 = 9.933 (approximately)

Since Brian can't buy 0.933 of a tape, he will only be able to buy 9 tapes.

Based on the cost of the tape, the amount Brian has and the handling charge, Brian can purchase no more than 9 tapes.

First find out the amount he can spend on tapes:

= Total amount to use - Postage and handling charge

= 78 - 3.50

= $74.50

Each tape costs $7.50 so the highest number of tapes he can buy is:

= Amount available for tapes / Cost of tapes

= 74.50 / 7.50

= 9.93 tapes

= 9 tapes

Note: Round down to 9 because the tapes bought have to be a whole number and cannot be rounded up without more money.

In conclusion, Brian can only buy 9 tapes.

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Answer:

-1.25π radians or -3.926990817 radians

Step-by-step explanation:

a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

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Answer:

triangle

Step-by-step explanation:

The cross section is a triangle.

Answer:

i think either a square or rectangle

Step-by-step explanation:

The sample size is maximized with the value of p vs the value of p-hat. Thus the correct option is C.

In the given question, when choosing a sample size for a population proportion a practitioner is considering either setting p = 0.5, or, using a preliminary estimate of p-hat=0.7.

We have to check which statement is true:

The formula to compute the sample size for population proportion is given below:

n = \(\frac{z^{2}_{\alpha/2}\times p\times(1-p)}{E^2}\)

where p is the estimated proportion. If prior estimates of proportion is not available, then p is taken as 0.5.

keeping the confidence level and margin of error constant, let \(\frac{z^{2}_{\alpha/2}}{E^2}\) = C

Suppose p=0.5

n = C × 0.5 × (1-0.5)

n = 0.25C

Suppose p-hat = 0.7

n = C × 0.7 × (1-0.7)

n = 0.21C

For any other estimate of p the sample size n will be the smaller as compared to p=0.5.

Therefore the sample size is maximized with the value of p vs the value of p-hat. Thus the correct option is C.

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Answer:

The box plot for the Bulldogs is slightly shorter than that of the Tigers. The Bulldogs' box plot has a median score of 65, while the Tigers' box plot has a median of 80. The Bulldogs' box plot is shorter because their scores are more condensed around the median, while the Tigers' scores are more spread out. The Bulldogs box plot also has a lower minimum score (30) than the Tigers (45). This indicates that the Bulldogs have more concentrated scores around the median, while the Tigers have scores more spread out.

The correct option is the bulldog's distribution is symmetric, but the tiger's distribution is positively skewed. [option a]

Data distribution is a function that specifies all possible values for a variable and also quantifies the relative frequency (probability of how often they occur).

Distributions are considered to be any population that has a scattering of data.

Given is a graph showing the basketball scores for two teams, Bulldogs and Tigers,

Symmetric data distribution :-

In a symmetrical distribution the two sides of the distribution are a mirror image of each other.

A normal distribution is a true symmetric distribution of observed values. When a histogram is constructed on values that are normally distributed, the shape of columns form a symmetrical bell shape.

So, according to the definition of the symmetric distribution we see that the bulldog's data distribution is a symmetric distribution.

Positively skewed data distribution :-

A positively skewed (or right-skewed) distribution is a type of distribution in which most values are clustered around the left tail of the distribution while the right tail of the distribution is longer.

So, according to the definition of the positively skewed distribution we see that the tiger's data distribution is a positively skewed distribution.

Hence, the correct option is the bulldog's distribution is symmetric, but the tiger's distribution is positively skewed. [option a]

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The complete graph is attached

The sixth-graders at Tisha's faculty were given to choose among a field journey to a museum and a area journey to a manufacturing unit.

To calculate the percentage of 6th-graders the one picked the museum as their area journey desire, we need to divide the range of students who chose the museum with the aid of the entire number of sixth-graders, in addition to then multiply by means of 100.

Number of students who chose the museum = 39

Total number of sixth-graders = 52

Percentage of sixth-graders who picked the museum = (Number of students who chose the museum / Total number of sixth-graders) * 100

Percentage = (39 / 52) * 100

Percentage ≈ 0.75 * 100

Percentage ≈ 75

Therefore, approximately 75% of the sixth-graders picked the museum as their field trip choice.

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Answer:

  (1/10)∛100 ≈ 0.4642

Step-by-step explanation:

For a cube of volume V, the edge length is ...

  s = ∛V

and the area is ...

  A = 6s² = 6V^(2/3)

Then the ratio of area to volume is ...

  r1 = A/V = 6V^(2/3)/V = 6V^(-1/3)

If the value of V is increased by a factor of 10, the ratio of area to volume is now ...

  r2 = 6(10V)^(-1/3)

The factor by which the ratio changed is ...

  r2/r1 = (6(10V)^(-1/3))/(6V^(-1/3)) = 10^(-1/3) = (1/10)∛100

The surface area per unit volume changes by a factor of (∛100)/10.

___

Example

For a cube of side length 2, the volume is 2³ = 8 and the surface area is 6·2² = 24. The ratio of surface area to volume is 24/8 = 3.

Multiplying the edge length by ∛10, we now have a volume of (2∛10)³ = 80, and a surface area of 6(2∛10)² = 24(10^(2/3)). The ratio of surface area to volume is ... 24(10^(2/3))/80 = 0.3∛100.

The ratio of area to volume changed by a factor of (0.3∛100)/3 = (∛100)/10, as above.

Answer:

A) 1.26582278x or 12.6582278%

B) 282412.759

C) 2027

Step-by-step explanation:

A) 86900 -> 110000

110000 / 86900

= 1.26582278

The growth rate is 1.26582278x or 12.6582278%

B) 110000 -> ...

110000 * (1.26582278)^4

= 110000 * 2.56738872

= 282412.759

(Not sure if your teacher will want you to round this down because 0.759 people don't exist)

C) 110000 -> ... > 500000

We can just go through and slowly increasing

2021:

110000 * 1.26582278

= 139240.506

2022:

139240.506 * 1.26582278

= 176253.804

2023:

176253.804 * 1.26582278

= 223106.08

2024:

223106.08 * 1.26582278

= 282412.758

2025

282412.758 * 1.26582278

= 357484.502

2026

357484.502 * 1.26582278

= 452512.026

2027

452512.026 * 1.26582278

= 572800.031

2027 is when the population will reach 500000.

Answer:

380 seconds

Step-by-step explanation:

Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360

Now add the 20 seconds.
360 + 20 = 380

6 minutes and 20 seconds are equal to 380 seconds.

A. \( \cos \: x - 4 \: \cos \: x \: { \sin}^{2}x\) (first option)

➡️ \( \cos(x + 2x) \)

➡️ \( \cos \: x \: { \cos}^{2} x - \sin \: x \: { \sin }^{2} x\)

➡️ \( \cos \: x(1 - 2 \sin^{2}x) - \sin \: x \times 2 \sin(x) \cos(x) \)

➡️ \( \cos(x) - 2 \sin^{2} x \cos(x) - 2 \sin^{2} x \cos(x) \)

➡️ \( \cos(x) - 4 \cos(x) \sin^{2} x\)

Answer:

25

Step-by-step explanation:

l x w = h

25 x 7.2 = 180