A pound is approximately 0.45 kg . A persons weight 87 kg. What is the persons weight , in pounds, when rounded to the nearest whole number

Check the picture below.

Step 1: There are four consecutive integers that add up to - 362

Step 2: Let's write the equation to find the four consecutive integers, as follows:

• Let x to represent the first consecutive integer

• Let x + 1 to represent the second consecutive integer

• Let x + 2 to represent the third consecutive integer

• Let x + 3 to represent the fourth consecutive integer

Therefore,

x + x + 1 + x + 2 + x + 3 = -362

Step 3: Let's solve for x

4x + 6 = -362

Subtracting 6 at both sides:

4x + 6 - 6 = -362 - 6

4x = -368

Dividing by 4 at both sides:

4x/4 = -368/4

x = -92

Step 4: Let's find the four consecutive integers based on x = -92

• x + 1 = -92 + 1 = -91

• x + 2 = -92 + 2 = -90

• x + 3 = -92 + 3 = -89

Step 5: The four consecutive numbers that add up to -362 are:

-89, -90, -91 and -92

The correct answer to the above question is Option B. greater than 1. i.e., The future value of 1 factor will always be greater than 1.

The future value of 1 factor, also known as the future value factor (FVF), is a factor used in finance to calculate the future value of a sum of money. It represents the value that a present sum of money will have in the future at a given interest rate, over a specified period.

The FVF depends on the interest rate and the period. It is always greater than 1 when the interest rate is positive because money invested today will grow with interest over time, resulting in a larger future value. For example, if the FVF is 1.10 for one year, it means that if you invest $1 today at an annual interest rate of 10%, it will grow to $1.10 in one year.

On the other hand, if the interest rate is negative, the FVF will be less than 1. This is because money invested today will decrease in value over time due to the negative interest rate.

Therefore, the correct answer is option b) greater than 1, as the future value of 1 factor will always represent a value greater than the original amount invested or borrowed.

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Answer:

C

Step-by-step explanation:

6 is the smallest so the first one would be c because it is the smallest

Answer:

x = -8

Step-by-step explanation:

slope of y = 1/6 is zero

the negative reciprocal of zero is considered to be 'undefined', which is the slope of x=-8 (or x = 'any number')

Answer:

$257

Step-by-step explanation:

First we multiply the rate by time

8.5*32=$272

then we subtract the uniform fee

272-15=$257

(plz give brianliest ty)

Answer:

8.50x-15

Step-by-step explanation:

Flat rate is 15 so you subtract from income made. 8.50x is how much you make depending on how many hours you work. Thus income-fee= how much you make first week.

Answer:

The Value of 9a+6b is 27. and the value of 4x+3y is 30.

Explanation

1)

3a+2b=9

multiplying both by side by 3

or, 3×( 3a+2b)=3×9

Hence, 9a+6b=27

2)

8x+6y=60

Dividing both by side by 2

or, (8x+6y)/2 = 60/2

Hence, 4x+3y=30

True. The 3px, 3py, and 3pz orbitals are similar in shape but differ in their orientation or direction.

The p orbitals are one type of orbital that corresponds to the angular momentum number l = 1. These p orbitals are designated as 3px, 3py, and 3pz to indicate their orientations along the x, y, and z axes, respectively.

The p orbitals have a  shape with a node at the nucleus. They consist of two lobes of electron density, one on either side of the nucleus, separated by a region of zero electron density. The lobes are oriented along the designated axes. The 3px orbital points along the x-axis, the 3py orbital points along the y-axis, and the 3pz orbital points along the z-axis. Although they have different orientations, their shapes and sizes are the same.

So, while the 3px, 3py, and 3pz orbitals differ in their orientation in space, they share the same overall shape and size.

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Answer:

0.976 or 97.6%

Step-by-step explanation:

To calculate the frequency of the recessive allele, we need to use the information provided about the frequency of the dominant trait.

Let's assume that the particular dominant trait is determined by a single gene with two alleles: the dominant allele (A) and the recessive allele (a).

Given that 45 out of 1,000 babies are born with the dominant trait, we can infer that the remaining babies (1,000 - 45 = 955) do not have the dominant trait and can be considered as the recessive trait carriers.

The frequency of the recessive allele (q) can be calculated using the Hardy-Weinberg equation:

q = sqrt((Recessive individuals) / (Total individuals))

In this case, the total number of individuals is 1,000, and the number of recessive individuals is 955.

q = sqrt(955 / 1,000)

Using a calculator, we can find the value:

q ≈ 0.976

Therefore, the frequency of the recessive allele is approximately 0.976 or 97.6%.

Answer:

3

Explanation:

For every 3 cupcakes that Edgar gets, Fred gets 1. So, if Edgar gets 9, Fred gets 3.

Answer:

He would have 11/4 gallons of lemonade or 2 3/4

Step-by-step explanation:

The area of the sector OAB of the circle is 9 square meters

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

Sector area = central angle/360 * Circle area

Substitute the known values in the above equation, so, we have the following representation

Sector area = 45/360 * 72

Evaluate

Sector area = 9

Hence, the area of the sector is 9 square meters

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The value of y in the diagram of the similar triangles is estimated as 105.75 units.

For the given triangle.

In smaller triangle, using the Pythagorean theorem.

x² = c² + a²

x² = 2.8² + 5.3²

x = 35.93

Using the similarity of triangle.

a/b = x/y

5.3/15.6 = 35.93/y

y = 35.93*15.6 / 5.3

y = 105.75

Thus, the value of y in the diagram of the similar triangles is estimated as 105.75 units.

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In the triangle LMN angle N is 76 degree.

Given,

In the question:

There is two isosceles triangle in the figure:

Triangle JKL and Triangle LMN

Angle J = 64 degree

To find the angle Angle N

Now, According to the question:

The triangle is isosceles.

<J = 64 degrees

All triangles have 180

<JLK = 180 - 64 - 64

Angle JLK = 52degree.

Angle JLK = MLN  = 52 degree (Vertical opposite angle )

M is the left over from the 2 equal angles.

N = 180 - <M - < MLN                      

N = 180 - 52 - 52

N = 76 degree

Hence, In the triangle LMN angle N is 76 degree.

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Answer:

D. \(p(x)=7x-20\)

Step-by-step explanation:

\(r(x) = 12x\\c(x) = 5x + 20\\p(x) = r(x)-c(x)\\p(x)=12x-(5x+20)\\p(x)=12x-5x-20\\p(x)=7x-20\)

Simply subtract the two functions from each other and simplify to get the result.

The equation which shows the one way to determine the factors of provided equation by grouping is,

\(2x^2(6x-1)+3(6x-1)\)

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.

The provided polynomial equation is,

\(12x^3 - 2x^2 +18x - 3\)

To factorize the above polynomial equation, make the groups, by taking out the greatest common factor.

\(12x^3 - 2x^2 +18x - 3\\2x^2(6x-1)+3(6x-1)\\(6x-1)(2x^2+3)\)

Hence, the equation which shows the one way to determine the factors of provided equation by grouping is,

\(2x^2(6x-1)+3(6x-1)\)

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Answer:

 y = 4x² + 24x + 38

Step-by-step explanation:

Answer:

3,4 the answer

a) Yes, It does. The scatterplot support the newspaper report about number of semesters and starting salary.

b) The value is relatively low, indicating that there are other factors that also contribute to starting salary.

c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables.

a) The scatterplot appears to show a positive association between the number of semesters needed to complete an academic program and the starting salary in the first year of a job. As the number of semesters increases, the starting salary generally increases as well. Therefore, the scatterplot supports the newspaper report.

b) The coefficient of determination, or R-squared value, represents the proportion of the variation in the dependent variable (starting salary) that is explained by the independent variable (number of semesters). A value of 0.335 means that 33.5% of the variation in starting salary is explained by the number of semesters. This value is relatively low, indicating that there are other factors that also contribute to starting salary.

c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables. A value of 1 indicates a perfect positive correlation, a value of -1 indicates a perfect negative correlation, and a value of 0 indicates no correlation. The correlation coefficient for this data is not provided in the problem, so it is not possible to determine it. Without the correlation coefficient, it is not possible to interpret the strength and direction of the association between number of semesters and starting salary.

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Answer:

10

Step-by-step explanation:

let the number be n then half the number is \(\frac{1}{2}\) n , so

\(\frac{1}{2}\) n + 69 = 74 ( subtract 69 from both sides )

\(\frac{1}{2}\) n = 5 ( multiply both sides by 2 to clear the fraction )

n = 10

Thus the number is 10

Answer:

6a2-3ax+3a

Step-by-step explanation:

Answer:

Step-by-step explanation:

3a(2a-x+1)

= 6a² - 3ax + 3a

The equation r-6=0 is given in the cylindrical coordinates. The shape of this equation is not a sphere; it is a cylindrical shell. This equation is a cylindrical shell rather than a sphere.

Therefore, the given statement, "The shape of this equation is a sphere" is FALSE.

Cylindrical coordinates (r, θ, z) are a coordinate system that defines a point in three-dimensional space. It is similar to the polar coordinate system, except that the z-axis is added, resulting in the use of a cylindrical surface to specify the point location.

Let's find the solution.The cylindrical coordinate system is a three-dimensional coordinate system that is defined by the distance from a point in the xy-plane to a fixed point known as the origin, the angle that the point makes with the x-axis, and the vertical height of the point from the xy-plane, which is referred to as the z-coordinate of the point.

When defining a point in three-dimensional space, cylindrical coordinates are commonly used.

A sphere is a three-dimensional object with a curved surface that is equidistant from a single point in space. A spherical coordinate system is often used to specify the position of a point on a sphere. A cylindrical coordinate system, on the other hand, is commonly used to specify the position of a point on a cylindrical shell.

The equation

r - 6 = 0

is given in cylindrical coordinates. This equation is a cylindrical shell rather than a sphere.

Therefore, the given statement, "The shape of this equation is a sphere" is FALSE.

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The expression 126 \(m^4\) - 63\(m^3\) is equivalent to the given expression                  7m² * (2m -1 )*(m9).

The properties of multiplication are:

There are different power rules, see some them:

1. Multiplication with the same base: you should repeat the base and  add the exponents.

2. Division with the same base: you should repeat the base and  subctract the exponents.

3.Power. For this rule, you should repeat the base and multiply the exponents.

4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.

Here, you should apply the distributive property and power rules for solving this expression and finding an equivalent expression.

First, you should multiply the factors (2m -1)*(9m). As result, you find 18m²-9m.

After that, you should do the product between the previous result (18m²-9m) and the factor 7m². Thus,

(18m²-9m) * 7m²= 126 \(m^4\) - 63\(m^3\).

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Answer:

Simplifying

7x = 33

Solving

7x = 33

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '7'.

x = 4.714285714

Simplifying

x = 4.714285714

Step-by-step explanation:

7x = 33

divide both sides by 7

x = 33/7

this fraction cannot be simplified so you can either leave it as

x=33/7

or

simplify to 4.71428571429

or

simplify the decimal to 4.7

Answer:

328

Step-by-step explanation:

IF YOU DO THE MATH FOR [3 x 25 - 13 x (-2)]

3×25=75

13×(-2)= -26

⇒75 - ( -26)= 75+ 26= 101

23(-22+32)-3=

⇒-22 + 32= 10

⇒10×23=230

⇒ 230-3=227

then you add 101 to 277 and you will get the answer 328

Answer:

A 2808

Step-by-step explanation:

From top to bottom

The top one is 9

Second layer is 16

Third is 23

Bottom is 30

I did 9 x 6, 16 x 6, 23 x 6, 30 x 6 = 54, 96, 138, 180

Added all of them up and got 468 then I times it by 6 and got 2808

Heyo! ;D

The volume of the sandcastle above is 10,596 cubic inches.

Hope this helped! If so, please lmk! Tysm and good luck!

The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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The likelihood of finding that the sample mean is between 59,050 and 60,950 miles can be determined by calculating the probability using the normal distribution with a sample size of 90, a population mean of 60,000 miles, and a population standard deviation of 4,000 miles.

To find out the probability of getting a sample mean between 59,050 and 60,950, a simulator is used to determine the tread life of tires mounted on light-duty trucks that follows a normal probability distribution.

Here, the population mean is 60,000 miles and the standard deviation is 4,000 miles. The given sample size is 90.

We can use the formula for standardizing the score. The standardized score for the lower limit of 59,050 is -2.78, and that of the upper limit of 60,950 is 2.78. Now, we need to find the probability of getting the mean value between -2.78 and 2.78.

We can use the standard normal distribution table to find the value, which is 0.9950 for z = 2.78 and 0.0050 for z = -2.78. Hence, the required probability is 0.9900.

Therefore, the likelihood of finding that the sample mean is between 59,050 and 60,950, for a sample size of 90 tires, is 0.9900.

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