w=3xt the total number of wheels needed is represented by the variable w. the number of tricycles is represented by the variable t. if you build 8 tricycles, how many wheels do you need?

Recapturing a higher percent of marked alligators affects the estimated total population by making it high enough to support an accurate estimate.

This is referred to as the total number of species or organisms in an area at a given period of time.

Recapture rates are high enough to support an accurate estimate. The Lincoln-Peterson calculation tends to overestimate the population size, especially if the number of recaptures is small.

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Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

caring on learning

The solution is Option A.

The translation of the center of circle is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

Given data ,

Let the equation for the circle A be represented as

( x - 7 )² + ( y - 1 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( 7 , 1 )

Let the equation for the circle A be represented as

( x + 8 )² + ( y - 2 )² = 16

Now , the equation is of the form ( x - h )² + ( y - k )² = r²

So , the radius of the circle is 4 and the center of the circle is ( -8 , 2 )

So , the translation of circle A to B is given by

( 7 , 1 ) to ( -8 , 2 )

So , the x coordinate is translated by 15 units to left and the y coordinate is translated by 1 unit up

Hence , the translation is given by ( x , y ) ⟶ ( x - 15 , y + 1 )

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Answer: 7.62

Step-by-step explanation:

\(AB=\sqrt{(-2-1)^{2}+(-3-4)^{2}}=\sqrt{9+49}=\sqrt{58} \approx 7.62\)

The radius to height ratio between a sphere and a cone with same surface area is equal to 1 / 2√2.

In this problem we find a sphere and a cone with same surface area, whose formulas are shown below:

Sphere

A = 4π · r²

Cube

A = π · r² + π · r · l

Where:

And we need to determine the radius to height ratio by algebraic means. First, equalize the surface area formulas:

4π · r² = π · r² + π · r · l

3π · r² = π · r · l

3 = l / r

And the slant height can be defined in terms of the height of the cone (h), in centimeters, by Pythagorean relationship:

l = √(r² + h²)

Second, eliminate the slant height:

3 = √(r² + h²) / r

3 = √[(r² + h²) / r²]

3 = √(1 + h² / r²)

9 = 1 + h² / r²

h² / r² = 8

r² / h² = 1 / 8

r / h = 1 / √8

r / h = 1 / 2√2

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Answer:

option 2: \(\frac{9}{41}\)

Step-by-step explanation:

SOH CAH TOA

cos = \(\frac{adjacent}{hypotenuse}\)

cos A = \(\frac{9}{41}\)

Answer:

C

Step-by-step explanation:

it is rise over run which means rise 1 over run 4

so the answer is 1/4

Answer:

b) 43 degrees

Step-by-step explanation:

Answer:

Choice B

Step-by-step explanation:

The bottom right angle is 80° since thats the value of its complement

Subtract 180-123 to get the complement of the bottom left and the value of the bottom left, 57°

Since all the interior angles in a triangle will add up to 180° add 57 and 80 to get 137 then subtract 137 to get the value of x, 43.

Beginning and intermediate algebra encompass the foundational aspects of mathematics, introducing students to the language and symbolism used in mathematical expressions and equations.

Beginning and intermediate algebra courses serve as stepping stones in a student's mathematical education, providing them with essential skills and knowledge in algebraic concepts.

These courses emphasize the language and symbolism of mathematics, teaching students to translate real-world problems into mathematical expressions and equations.

In these courses, students learn to work with variables, which represent unknown quantities, and manipulate algebraic expressions using operations such as addition, subtraction, multiplication, and division. They learn how to solve equations and inequalities, simplifying expressions and finding solutions that satisfy given conditions.

Furthermore, beginning and intermediate algebra introduce students to important mathematical concepts like functions, graphing, exponents, and factoring.

These topics help develop critical thinking and problem-solving skills, laying the foundation for more advanced mathematical disciplines. By learning the language and symbolism of mathematics in beginning and intermediate algebra.

Students gain a solid understanding of mathematical concepts and acquire the necessary skills to tackle more complex mathematical problems in higher-level courses and real-world applications.

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The probability of winning by picking the number 30 in roulette is 1/38.

In the game of roulette, the wheel consists of 38 spaces, with numbers 0 through 36 and an additional space marked 00. When you pick a specific number, such as 30, the probability of that number coming up on the wheel can be determined by calculating the ratio of favorable outcomes to the total number of possible outcomes.

In this case, there is only one favorable outcome, which is the ball landing on the number 30. The total number of possible outcomes is 38 since there are 37 numbered spaces (0 through 36) and one additional space for 00. Therefore, the probability of winning by picking the number 30 is 1 out of 38.

To put it simply, if you were to play roulette many times, you would expect the number 30 to come up approximately once every 38 spins on average. This probability remains the same for each individual spin, as each spin of the roulette wheel is an independent event.

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Answer:

15

Step-by-step explanation:

I think it is but am not sure

Answer:

The two numbers are 22 and 8

Step-by-step explanation:

22 + 8 = 30

22 - 8 = 14

14 ÷ 2 = 7 or 1/2 of 14 is 7

Answer:

R=(-2,-8)

S=(1, -8)

T=(1, -4)

U=(-2,-4)

Step-by-step explanation:

Answer:

Volume of smaller canister = 763.02 \(cm^3\)

Surface area of smaller canister = 466.29 \(cm^2\)

Volume of larger canister = 6104.16 \(cm^3\)

Surface area of larger canister = 1865.16 \(cm^2\)

Volume becomes 8 times by doubling the size and surface area becomes 4 times by doubling the size.

Step-by-step explanation:

Given that :

Diameter of Smaller canister = 9 cm

Height of Smaller canister = 12 cm

Larger canister is double the size of smaller one i.e. height and diameter are doubled.

To find:

Volume and surface area of each canister and their comparison.

Solution:

First of all, let us have a look at the formula of volume and surface area of a cylinder.

Volume, \(V=\pi r^2h\)

Surface Area, \(A=2\pi r^2+ 2\pi rh\)

where r and h are the radius and height of the cylinder respectively.

Radius is half of diameter.

Radius of smaller canister is given by:

\(r_1 = \dfrac{9}{2} = 4.5\ cm\)

Height, \(h_1 =12\ cm\)

Volume, \(V_1=\pi (4.5)^2 \times 12 = 763.02\ cm^3\)

Surface Area, \(A_1 = 2 \pi \times 4.5 ^2 + 2\pi\times 4.5 \times 12 = 466.29 \ cm^2\)

Now, Diameter / Radius and height of larger canister are doubled of smaller one.

Radius of larger canister is given by:

\(r_2 = \dfrac{9}{2} \times 2 = 9 cm\)

Height, \(h_2 =12\times 2 = 24\ cm\)

Volume, \(V_2=\pi (9)^2 \times 24 = 6104.16\ cm^3\)

Surface Area, \(A_2 = 2 \pi \times 9 ^2 + 2\pi\times 9\times 24= 1865.16 \ cm^2\)

Comparing the results, we can easily see that:

\(V_2 = 8 \times V_1\\A_2 = 4 \times A_1\)

i.e. Volume becomes 8 times by doubling the size and surface area becomes 4 times by doubling the size.

Answer:

Yrah, what they said above

Step-by-step explanation:

Answer:

B. Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4.

Step-by-step explanation:

Look for a pattern within the table.

10 : 2.5

16 : 4

? : 7.5

48 : 12

10/2.5 = 4

16/4 = 4

14/12 = 4

this means that if we multiply 7.5 by 4 we will be able to find the missing number!

Therefore, the answer is B.

Hope this helps! :)

To determine the exact concentration of the solution made, one can divide the mass of the solute with the volume of the solution.

A solution is the substance formed by the mixture of solute in solvent. The solute may or may not be dissolved in the solution. One can determine the exact concentration of the solution if the mass of solute added in the specific volume of solution is known. If the solution is made by someone else, then its concentration can be determined by process of titration.

The concentration of a solution is expressed in the form of moles or grams per unit liter. If the solution is unknown and only its dissolved chemical is known, then titration will help in determining the closest value of concentration if performed without human error. In titration, the use of glassware that that is more precise than the flasks, beakers, and graduated cylinders are used.

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Refer to complete question below:

How do we determine concentration a solution? If it is a solution that we have made up, we can readily do the calculations required. But what if it is a solution that someone else has made? What technique can be used to gather information about a solution that we are given with no other information than the name of the chemical dissolved.

To find the zeros of the function f(x) = 2x^2 + 4x - 6, we need to solve for x when f(x) = 0. We can do this by factoring the quadratic expression or by using the quadratic formula. Once we find the zeros, we can plot them on a graph to show where the function intersects the x-axis.

Factoring method:

f(x) = 2x^2 + 4x - 6

f(x) = 2(x^2 + 2x - 3)

f(x) = 2(x + 3)(x - 1)

The zeros of the function are x = -3 and x = 1.

Using the quadratic formula:

The quadratic formula is:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic expression ax^2 + bx + c.

For the function f(x) = 2x^2 + 4x - 6, we have:

a = 2, b = 4, c = -6

x = (-4 ± sqrt(4^2 - 4(2)(-6))) / 2(2)

x = (-4 ± sqrt(64)) / 4

x = (-4 ± 8) / 4

x = -3, 1

The zeros of the function are x = -3 and x = 1.

The graph that correctly shows the zeros of the function f(x) = 2x^2 + 4x - 6 is a graph with x-axis labeled with -3 and 1, and the curve of the function intersecting the x-axis at those points. This can be represented by a graph that looks like an inverted U-shape with the x-axis being intersected at x = -3 and x = 1.

Answer:

Please see attachment.

The first one is a quadrilateral that is not a parallelogram.

The second one is a triangle with a right angle.

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

Sample size with  a probability of 0.95.

How to calculate sample size?

To calculate the required sample size, we can use the following formula:

n = [ (zα/2 * σ) / E ]^2

where:

n = sample size

zα/2 = the z-score associated with the desired level of confidence (in this case, 0.95) from the standard normal distribution's upper tail, which can be found using a z-table or calculator (it is approximately 1.96)

σ = the population standard deviation (which is given as 1.8 inches in Exercise 7.43)

E = the desired margin of error (which is 0.4 inches in this case)

Plugging in the values, we get:

n = [ (1.96 * 1.8) / 0.4 ]^2

n = (3.528 / 0.4)^2

n = 8.82^2

n ≈ 78.1

Therefore, the anthropologist should sample at least 79 men to achieve the desired objective of having the difference between the sample mean and population mean be less than 0.4 inches with a probability of 0.95.

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With probability 0.95. she should sample  339 men to achieve this objective

To determine the sample size needed to achieve the desired accuracy with a given level of confidence, we can use the formula:

n = (zα/2 * σ / d)²

where:

zα/2 is the critical value of the standard normal distribution for a two-tailed test with level of significance α (in this case, α = 0.05 and zα/2 = 1.96)

σ is the population standard deviation (which we don't know, so we'll use a conservative estimate of 3 inches, based on previous studies of height variability)

d is the maximum allowable difference between the sample mean and the population mean (d = 0.4 inches)

Plugging in these values, we get:

n = (1.96 * 3 / 0.4)²

n = 338.27

We need to round up to the nearest integer, so the anthropologist should sample at least 339 men to achieve the desired objective with 95% confidence.

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9514 1404 393

Answer:

  Item B

Step-by-step explanation:

The mass of platinum with the given volumes would be ...

  A: (2 cm³)(21 g/cm³) = 42 g . . . matches the given mass

  B: (5 cm³)(21 g/cm³) = 105 g . . . greater than the given mass, which is not platinum

  C: (7 cm³)(21 g/cm³) = 147 g . . . matches the given mass

__

Item B is too light to be platinum.

Answer:

Item B

Step-by-step explanation:

item b is too light

Answer:

3.17

Step-by-step explanation:

2.5/1.5 = 1.66667, 1.66667 (it goes on infinitely 1.6666 etc.)

1.66667 x 1.9 = 3.166666654, and when rounded to nearest tenth it is 3.17

Answer:

\(volume = 653.71 {cm}^{3} \)

Step-by-step explanation:

Volume = πr^2h

=

\( \frac{22}{7} \times {4}^{2} \times 13 \: c {m}^{3} \)

= 22*16*13/7 cm^3

= 653.714cm^3

Rounding off = 653.71 cm^3

Answer:

653.45

Step-by-step explanation:

it told me the answer

By considering ages and equations we have,

Uncle Rob will be 62 years old when Dave is 32.

Dave is listed as being 15 years old, while his uncle Rob is listed as being three times Dave's age. Rob's age as of right now may be calculated using the formula below:

Age of Rob is Dave times three.

Using Dave's age as a plug-in, we obtain following equations,

Rob's age is equal to 15 + 3 = 45.

Rob is currently 45 years old, according to this.

We need to know how many years it will be before Dave turns 32 in order to calculate Rob's age at that time. By deducting Dave's present age from his anticipated age, we may determine this:

Years from now = Dave's age in the future minus Dave's age currently

By entering the specified values, we obtain:

The number of years from now is equal to 32 - 15 = 17 years.

Dave will turn 32 in 17 years, according to this.

We may multiply Rob's current age by the number of years from now to determine his age at that point:

When Dave reaches the age of 32, Rob will be that age plus the number of years.

When we enter the calculated values, we obtain:

When Dave is 32 years old, Rob will be 45 + 17 years old, or 62 years old.

  So, Dave uncle rob 's age will be 62 years old.

As a result, when Dave's age is 32, his uncle Rob's age will be 62.

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The angle between the two planes is π/2 radians or 90 degrees.

The angle between two planes is equal to the angle between their normal vectors. Let n1 = (1, 0, 1) be the normal vector to the first plane, and n2 = (−5, 4, 5) be the normal vector to the second plane. Then the angle θ between the planes is given by:

cos(θ) = (n1⋅n2) / (|n1||n2|)

where ⋅ denotes the dot product and |n| denotes the magnitude of vector n.

We have:

n1⋅n2 = (1)(−5) + (0)(4) + (1)(5) = 0

|n1| = √(1^2 + 0^2 + 1^2) = √2

|n2| = √(−5^2 + 4^2 + 5^2) = √66

Therefore, cos(θ) = 0 / (√2)(√66) = 0, which means that θ = π/2 (90 degrees).

So, the angle between the two planes is π/2 radians or 90 degrees.

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To determine whether the vectors (-2,1,-1) and (0,3,1) are parallel, we need to compare their direction. If they have different directions, they are not parallel. the correct answer is option c) Not parallel.

To check if two vectors are parallel, we can compare their direction vectors. The direction vector of a vector can be obtained by dividing each component of the vector by its magnitude. In this case, let's calculate the direction vectors of the given vectors.

The direction vector of (-2,1,-1) is obtained by dividing each component by the magnitude:

Direction vector of (-2,1,-1) = (-2/√6, 1/√6, -1/√6)

The direction vector of (0,3,1) is obtained by dividing each component by the magnitude:

Direction vector of (0,3,1) = (0, 3/√10, 1/√10)

Comparing the direction vectors, we can see that they are not equal. Therefore, the vectors (-2,1,-1) and (0,3,1) are not parallel. Hence, the correct answer is option c) Not parallel.

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Answer:

First even = 24

Second even = 26

Step-by-step explanation:

let x be the first even integer.

let 2x be the second even integer.

\(x + 2x = 50\)

\(x + x = 50 - 2 \)

\(2x =48\)

\( x = 24\)

Therefore, The first even number is 24.

\(second \: \: number= 50 - x \\ = 50-24 \\ = 26\)

Therefore, The second even number is 26.

To know the minimum rotation we have to do to map the figure onto itself, we just divide 360° by the total number of sides

So, every rotation that can be divide by 40 would be the answer, let's divide

Answer:

The order of rotational symmetry is 4.

The number that gives the exact value of 4 5/6 is 29/6

The number is given as:

Number =  4 5/6

Convert the above number to improper numbers

Number = 29/6

Hence, the number that gives the exact value of 4 5/6 is 29/6

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The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.

Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.

The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.

By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.

h(x) = x² + 3x - 8 = 0

We may factor the left side of the equation to find x:

x² + 3x - 8 = (x-2)(x+4) = 0

We set each factor to zero and solve for x to discover the zeroes:

x-2 = 0 or x+4 = 0

x = 2 or x = -4

Consequently, the function's zeros are x = 2 and x = -4.

So, A is the right response. x = -4 and x = 2

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The complete question is

What are the zeros of the function h (x) = x² + 3x - 8?

A. x = -4 and x = -2

B. x= -8 and x = 2

C. x = -2 and x = 8

D. x = 2 and x = 8

Answer:

d. -5/2x + 5 (negative five-halves x + 5)

Step-by-step explanation:

In order to find the equation for the line that passes through these points, you must identify the slope and y-intercept. You can find the slope by finding the change in y divided by the change in x:

using (0, 5) and (2, 0),

change in y = 5

change in x = -2

(change in y)/(change in x) = -5/2

So, the slope is -5/2. You don't need to calculate the y-intercept since one of the points already is the y-intercept; when x is 0, y is 5, so the y-intercept is 5. Now, you can write your equation:

using y = mx + b, where m = slope and b = y-intercept,

y = -5/2x + 5

Answer:

d

Step-by-step explanation: