is (half a number is 13) an expression?

Answer:

180

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

To determine the number of offspring with skin darker than their parents, we need more information about the specific genetic inheritance patterns and traits involved.

The answer depends on factors such as the dominance or recessiveness of genes controlling skin color, the genotype of the parents, and the specific combination of alleles passed on to the offspring.

Without additional information, it is not possible to provide an accurate count of the number of offspring with darker skin. Genetic inheritance is a complex process that involves multiple genes and interactions, making it necessary to consider specific genetic traits and their inheritance patterns to determine the outcome.

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The surface area of an object is the total area covered by the object's surface

The inequality that gives the maximum dimension of a cubic block covered twice with a quantity of paint that will cover 60 in.² is b ≤ √5

Question: The diagram in the question appear missing and an example diagram is included

The given parameters are;

The quantity of paint available = Cans of paint that will cover 60 in.²

The number of coats of paint to apply to the box =  2

Required:

To write an inequality representing the maximum edge length, b, in inches when the block is covered with a minimum amount of paint needed for two coats of paint

Solution:

From the diagram, we have;

The surface area of the cube = 6 × b²

The surface area covered by two coats of paint = 2 × 6 × b²

Therefore, we have;

The area of the block to cover ≤ The quantity of paint available

Which gives

2 × 6 × b² ≤ 60

b² ≤ 60/(2 × 6) = 5

b ≤ √5

The inequality that gives the maximum length of b that can be covered with the minimum amount of paint needed for two coats of paint is b ≤ 5

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Answer:

The choose a. f(x) = x+5

Step-by-step explanation:

f(-1)= -1+5=4

f(0)=0+5=5

Answer:

f(x)=x+5

Step-by-step explanation:

According to the table, the y values are 5 more than the x values

Answer:

Step-by-step explanation:

Given the Midpoint of UV is M(4, -6) and U(7, -9), we are to find the other coordinate V. The formula for calculating the midpoint of two coordinates is expressed as shown;

M(X,Y) = (x1+x2/2, y1+y2/2)

X = x1+x2/2

Y = y1+y2/2

Given (X,Y) = ()4, -6)

U (x1, y1) = (7, -9)

To get x2 and y2, we will substitute the given values into th formula above;

4 = (7+x2)/2

cross multiply

4*2 = 7+x2

8 = 7+x2

x2 = 8-7

x2 = 1

Similarly for y2;

-6 = (-9+y2)/2

cross multiply

-6*2 = -9+y2

-12 = -9+y2

y2 = -12+9

y2 = -3

Hence the other coordinate V(x2, y2) is (1, -3)

The probabilities are given as follows:

(a) an even number as the sum: 1/2.

(b) a total of at least 10: 1/6.

(c) same number on both dice i.e. a doublet: 1/6.

(d) a multiple of 3 as the sum: 1/3.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The 36 total outcomes when a pair of dice are thrown are given as follows:

The sum follows the pattern even, odd, ..., even, so there are 18 even sums and 18 odd sums, hence the probability of an even sum is given as follows:

p = 18/36 = 1/2.

There are six outcomes with a sum of at least 10, hence the probability is of:

p = 6/36 = 1/6.

There are six doblets, (1,1), (2,2), ..., (6,6), ..., hence the probability is given as follows:

p = 6/36 = 1/6.

There are 12 outcomes in which the sum is a multiple of 3, hence the probability is given as follows:

p = 12/36

p = 1/3.

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Answer: here is a picture of all of them I hope this helps :). This picture will clearly show the answers for 1 and 2

Step-by-step explanation:

If for every ordered pair (m,n) is in ℤ×ℤ, "m P n" ⇔ m and n have a common prime factor , then yes "10 P 35" because 10 and 15 share a common prime factor of 5.

The Relation "P" on ℤ is defined as follows: For every ordered pair (m, n) in ℤ ✕ ℤ, "m P n" if and only if m and n have a common prime factor.

To determine whether 10 P 15, we need to check if 10 and 15 have a common prime factor.

The prime factors of 10 are 2 and 5, whereas the prime factors of 15 are 3 and 5.

So , 10 and 15 share a common prime factor of 5.

Therefore , we can conclude that "10 P 15".

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The given question is incomplete , the complete question is  

Define a relation "P" on ℤ as follows: for every ordered pair (m, n) is in ℤ×ℤ, "m P n" ⇔ m and n have a common prime factor. Is "10 P 35"?

Answer:

  f^-1(x) = x +6

Step-by-step explanation:

To find the inverse of the function

  y = f(x)

solve the equation

  x = f(y)

for y.

Here, you want ...

  x = f(y)

  x = (y -6)

  x +6 = y . . . . . . add 6 to both sides

  \(\boxed{f^{-1}(x)=x+6}\\\)

c. 1,256 m³ is the approximate volume of the sphere.

The approximate volume of a sphere can be calculated using the formula V = (4/3)πr^3, where V is the volume and r is the radius of the sphere. In this case, the diameter of the sphere is given as 10m.

The radius of the sphere is half of the diameter, so the radius would be 10m/2 = 5m.

Plugging the radius value into the formula, we get V = (4/3)π(5m)^3. Simplifying further, we have V = (4/3)π(125m^3).

Calculating the value, V = (4/3)π(125m^3) ≈ 1,256 m³.

Therefore, the approximate volume of the sphere is approximately 1,256 m³.

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124

4×23 =92(for cats)

4×8=32(for dogs)

then 92+32=124

Answer:

The final answer is 25000000.

Step-by-step explanation:

Answer:

25000000

Step-by-step explanation:

10^6 = 1000000

25 x 10^6 = 25000000

Answer:

64

Step-by-step explanation:

The statement " Rate of college enrollment immediately after completing high school was 67% by 1997" is an example of (a) Descriptive Statistics.

The Descriptive statistics involves the use of measures, such as averages, proportions, and frequencies, to summarize and describe the main features of a set of data.

In this statement, the rate of 67% is a summary statistic that describes the proportion of high school graduates who enrolled in college immediately after completing high school in 1997.

Whereas; the inferential statistics involves making inferences or predictions about a population based on a sample of data.

The statement provides a summary statistic for the rate of college enrollment for a specific year, 1997, but it does not provide any inferences or predictions about the rate of college enrollment for other years or other populations , so it denoted a Descriptive Statistics .

The given question is incomplete , the complete question is

What type of Statistics does the statement "the rate of college enrollment immediately after high school completion was 67" represents ?

(a) Descriptive

(b) Inferential

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2,1 I think I hope this helps

Answer:

the answer is A :)

Step-by-step explanation:

i got it right on edge

The given expression can be solved by using types of the polynomial.

The algebraic expression is a trinomial is \(\rm 2x^3-x^2\).

We have to determine, which algebraic expression is a trinomial?

According to the question,

‘Tri’ stands for three and ‘mial’ stands for terms thus an algebraic expression with three unlike terms are called trinomials.

The definition of polynomial needs integer exponents of variable and integer coefficients of the variable.

To determine the algebraic expression is a trinomial following all the steps given below.

1. The algebraic expression is,

\(\rm x^3+x^2-\sqrt{1}\)

The expression is not trinomial as well as polynomial because it contains a square root function.

2.  The algebraic expression is,

\(\rm 2x^3-x^2\)

The expression is trinomial because it has degree 3 and it's a polynomial.

3. .  The algebraic expression is,

\(\rm 4x^3-x^2-\dfrac{1}{x}\)

The expression is not trinomial degree 4 due to 1/x and thus not a trinomial.

4. . The algebraic expression is,

\(\rm x^6-x-\sqrt{6}\)

The expression is not trinomial as well as polynomial because it contains a square root function.

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Answer:25,000(0.15)^x

Step-by-step explanation:

I think this is the answer because there are 25,000 gray wolf in the world and they are expected to grow by 15%. 15% is .15. So those two numbers multiplied, to the x exponent should give you the answer of how large the wolf population is expected to be.

The table using this function rule y = 3x+2 is as follows:

x      y

1       5

2      8

7      23

8      26

What is function rule?

The relationship between the input or domain and the output or range is represented by the function rule. A relation is a function if and only if each domain value has one value in the range.

An output is produced by a function machine using an input and a set of rules. Connecting a function described by a verbal rule with corresponding values in a table is the goal of this task (one of six connections to be made between the four ways to represent a function, the other two being through its graph and through an expression).

Although this broad application is not meant to be evaluated, it encourages students to think more broadly about functions as relating objects other than numbers.

Given that, y = 3x+2

Below is the completed table,

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Answer:

14 hours and 42 minutes

Step-by-step explanation:

To prove the statement "For all real numbers x and y, |x-y| = |y-x|," we can use proof by cases.

Case 1: x ≥ y

In this case, |x-y| = x-y and |y-x| = -(x-y).

So, |x-y| = x-y = -(y-x) = |y-x|.

Case 2: x < y

In this case, |x-y| = -(x-y) and |y-x| = y-x.

So, |x-y| = -(x-y) = y-x = |y-x|.

Since these two cases cover all possible values of x and y, we have proven that |x-y| = |y-x| for all real numbers x and y.

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Answer:

$168

Step-by-step explanation:

cause the store marks up the price by 115%

The original price of the item was $725

Store increases the margin by 27%

Let us assume the retail price to be x

To get the retail price we need to add the margin added by the store to the original price which is $725 in this case.

So,

x= 725 × 127/100

x= 92075/100

x= 920.75

Another method-

Let retail price be x

Since the original price of the item is $725

The store increases the price by 27%

Add 27% of $725 to the original price to get the retail price

725 × 27/100

= $195.75

Add 195.75 to the original price to get the retail price

x= 195.75+ 725

x= 920.75

The Retail price which will be charged by the store on the merchandise will be $920.75

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The solution set can be described as the line {(2-4t, -1-t, 3t-2, -5-6t)} in R4.  This line can be defined by a vector (4, 1, 1, -6) and any point on the line (2, -1, 0, -5).

The solution set can be described by the line {(2-4t, -1-t, 3t-2, -5-6t)} in R4. To describe this line, we need a point on the line and a vector. The point on the line can be found by setting t = 0, so the point is (2, -1, 0, -5). The vector can be found by subtracting the point from each of the coordinates of the solution set, so the vector is (4, 1, 1, -6). This vector can be used to describe the line in R4, as any point on the line can be expressed as a multiple of the vector plus the initial point on the line. Therefore, the solution set of the system of equations can be described as the line {(2-4t, -1-t, 3t-2, -5-6t)} in R4, defined by the point (2, -1, 0, -5) and the vector (4, 1, 1, -6).

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For the functions f(x)=15−4x and g(x)=4x²+x+3

a) f(9) = -21, b) f(-7) = 43, c) g(8) = 267, d) g(-2) = 17,  e) g(a) = 4a² + a + 3

To evaluate the given functions, we substitute the specified values of x into the functions.

a. f(9):

f(x) = 15 - 4x

f(9) = 15 - 4(9)

= 15 - 36

= -21

Therefore, f(9) = -21.

b. f(-7):

f(x) = 15 - 4x

f(-7) = 15 - 4(-7)

= 15 + 28

= 43

Therefore, f(-7) = 43.

c. g(8):

g(x) = 4x² + x + 3

g(8) = 4(8)² + 8 + 3

= 4(64) + 8 + 3

= 256 + 8 + 3

= 267

Therefore, g(8) = 267.

d. g(-2):

g(x) = 4x² + x + 3

g(-2) = 4(-2)² + (-2) + 3

= 4(4) - 2 + 3

= 16 - 2 + 3

= 17

Therefore, g(-2) = 17.

e. g(a):

g(x) = 4x² + x + 3

g(a) = 4(a)² + a + 3

= 4a² + a + 3

Therefore, g(a) = 4a² + a + 3.

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Presuming the 4-line means the student E-mail is composed of 4-lines, to be able to determine how many characters were on each line, let's divide the total characters that a student E-mail contained by 4.

We get,

Therefore, the Student E-mail of 250 Characters in 4 lines must have 125 Characters per Line.

The solution to the differential equation dz/dt = z^2 - 16 is z(t) = 4/tan(4t + C), where C is an arbitrary constant.

Explanation:

To solve the given differential equation dz/dt = z^2 - 16, we can separate the variables and integrate. Rearranging the equation, we have dz/(z^2 - 16) = dt. Now we integrate both sides.

Integrating the left side involves partial fraction decomposition, which leads to the integral of dz/((z - 4)(z + 4)). This can be expressed as (1/8) * (1/(z - 4) - 1/(z + 4)). Integrating the right side gives us t + D, where D is a constant of integration.

Now, we have (1/8) * (1/(z - 4) - 1/(z + 4)) = t + D. Multiplying both sides by 8 and simplifying, we get (z - 4) - (z + 4) = 8(t + D). Combining like terms, we have -8 = 8t + 8D. Rearranging the equation, we get 8t = -8 - 8D.

Dividing by 8, we obtain t = -1 - D. Letting C = -1 - D, we have t = C.

Finally, we can rewrite the solution as z(t) = 4/tan(4t + C), where C is an arbitrary constant. This represents the general solution to the given differential equation.

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Answer:

To solve the problem, we substitute x=-2 into each of the inequalities and see which one is true:

A. -3-5x > 1

A. -3-5x > 1 -3 - 5(-2) > 1

A. -3-5x > 1 -3 - 5(-2) > 1-3 + 10 > 1

A. -3-5x > 1 -3 - 5(-2) > 1-3 + 10 > 17 > 1

This inequality is true.

B. -5+x>-3

-5 + (-2) > -3

-7 > -3

This inequality is false.

C. 5-3x-1

5 - 3(-2) - 1

5 + 6 - 1

10 > 1

This inequality is true.

D. -1+5x > 3

-1 + 5(-2) > 3

-11 > 3

This inequality is false.

Therefore, the only true inequality is A. -3-5x > 1.

At least 75% of the flights (or 15 out of the 20 flights) will last between 3 days and 11 days, according to Chebyshev's Theorem.

Chebyshev's Theorem states that for any given number k greater than 1, at least (\(1-\frac{1}{k^2}\)) of the data values in any data set will fall within k standard deviations of the mean.

In this case, we can use Chebyshev's Theorem to determine the minimum number of flights that lasted between 3 and 11 days.

Given:

Mean (μ) = 7 days

Standard Deviation (σ) = 2 days

To find the number of flights within the range of 3 to 11 days, we need to calculate how many standard deviations away from the mean these values are.

Lower Bound:

Value = 3 days

Number of standard deviations away from the

\(mean = \frac{(Value - Mean)}{ Standard Deviation}\)

\(mean =\frac{(3 - 7) }{2}\)

\(mean =\frac{-4}{2}\)

\(mean = -2\)

Upper Bound:

Value = 11 days

Number of standard deviations away from the

\(mean = \frac{(Value - Mean)}{Standard Deviation}\)

\(mean = \frac{(11 - 7)}{2}\)

\(mean = \frac{4}{2}\)

\(mean = 2\)

According to Chebyshev's Theorem, the minimum proportion of data values within k standard deviations of the mean is given by \((1- \frac{1}{k^2} )\).

So, we need to determine the proportion of data within 2 standard deviations, which is k = 2.

Proportion within 2 standard deviations = \(1-\frac{1}{2^2}\)

\(=1-\frac{1}{4}\)

\(= 1 - 0.25\)

\(= 0.75\)

Now, we can find the percentage of \(0.75\):

\(= 0.75\times 100\)

\(= 75\%\)

Therefore, at least 75% of the flights (or 15 out of the 20 flights) will last between 3 days and 11 days, according to Chebyshev's Theorem.

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Answer:

w is the length

Step-by-step explanation:

length squared is always the area of a square

The weight of a piece of luggage that can be checked in, given the use of w to represent the weight, is W < 45.

The statement given is that, " each piece of luggage to be checked in must weigh less than 45 pounds. "

What this means is that the mass of each luggage should not be up to 45 pounds. The weight of the luggage should not be more than 45 pounds and it should not be equal to 45 pounds.

If the weight of luggage was said to be equal or less, then the symbol of equal or less than, which is ≤ would have been used.

However, the weight should be less than 45 pounds and with the weight being w, the expression would be:

W < 45

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The rest of the question is:

Use W to represent the weight (in pounds) of a piece of luggage that can be checked in