Find the measure of the largest exterior angle

Answer: The answer will be 8^2

Step-by-step explanation: We know,

4^3 = 4*4*4 = 64 which is also equivalent to next in series 4*4 =8 and 3-1 =2

i.e. 8^2= 64

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If and only if f(a) = 0, a polynomial f(x) has a factor (x-a). It's one of the techniques for factoring a polynomial.

A polynomial is an equation made up of coefficients and in determinates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables.

The factor theorem can help us determine if a factor is a "root" or "zero" of a polynomial. In other words, if we have a polynomial function, the factor theorem allows us to check if a particular value (usually represented by the variable x) is a solution to the polynomial equation, which means that when we plug in that value for x, the resulting output of the polynomial function will be zero. If it is, then we know that (x - a) is a factor of the polynomial, where "a" is the solution we found.

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Jen returned home was 11:02. Below, you will learn how to solve the problem.

When Jen left the house, it was 10:03, she was running errands for 59 minutes. To find out what time it was when she returned home, we need to add the 59 minutes to the time she left the house.

First, we need to convert the time she left the house to minutes, 10:03 is equal to 603 minutes (10 hours x 60 minutes per hour + 3 minutes).

Next, we add the 59 minutes she was running errands to the 603 minutes:

603 minutes + 59 minutes = 662 minutes

Finally, we convert the 662 minutes back to hours and minutes:

662 minutes ÷ 60 minutes per hour = 11 hours with 2 minutes remaining

So, the time when Jen returned home was 11:02.

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Answer: I'm no expert but i would have to say the median would decrease to 77 degrees

Step-by-step explanation: The median is not going to stay the same when you have a lot of high numbers and with a bunch of high numbers the median is going to be close to 77 degrees than to 65.2 degrees

The Lagrange multipliers fail to solve the problem because  g = 0 at the coordinates (x, y) = (0, 1) where f reaches its minimum on g = 0,

The Italian mathematician Joseph-Louis Lagrange is honoured by having his multiplier method named after him. In order to apply the derivative test of an unconstrained problem to a constrained problem, it is necessary to convert it into a different form.

Moreover, this technique is frequently employed in mathematical optimization. When a function of the form f(x, y, and z) is subject to equality constraints of the form g(x, y, and z) = k or g(x, y, and z) = 0, one useful technique is the method of Lagrange's multipliers. This means that it depends on the values of the desired variable exactly satisfying the terms of one or more equations.

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Yes, 0.5 - 3(-2x - 1 over 3 + 4 + 8x) and -1.5(12x + 7) are equivalent expressions.


To prove this, we can use the distributive property:

0.5 - 3(-2x - 1 over 3 + 4 + 8x)

= 0.5 - 3(-2x/3 - 1/3 + 4/3 + 8x/3)

= 0.5 - (-6x - 1 + 4 + 24x)/3

= (0.5*3 + 6x + 1 - 4 - 24x)/3

= (-1.5*12x - 1.5*7)/3

= -1.5(12x + 7)
No, 0.5 - 3(-2x -1 over 3 +4 + 8x) and -1.5(12x +7) are not equivalent expressions.

To determine if two expressions are equivalent, we can simplify both expressions and compare them.

For the first expression, 0.5 - 3(-2x -1 over 3 +4 + 8x), we can distribute the -3 and combine like terms:

0.5 - 3(-2x) - 3(-1) - 3(3) - 3(4) - 3(8x)
= 0.5 + 6x + 3 - 9 - 12 - 24x
= -18x - 7.5

For the second expression, -1.5(12x +7), we can distribute the -1.5:

-1.5(12x) - 1.5(7)
= -18x - 10.5

As we can see, the simplified expressions are not the same, so they are not equivalent expressions.

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The required value of 120 kilos which is same as 120 kilograms is equal to ( 264.55 ) pounds  ( round up to two decimals ) .

One kilogram = 2.20462 pounds

We need to convert 120 kilograms into pounds :

⇒ 120 kilograms = ( 120 × 2.20462 ) pounds

⇒ 120 kilograms = ( 264.5544 ) pounds

⇒ 120kilograms = ( 264.55 ) pounds  ( round up to two decimals )

Therefore, the value of the 120 kilograms is equal to ( 266.55 ) pounds  ( round up to two decimals ) using converting factor.

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Answer:

Step-by-step explanation:

To solve the problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A is the final amount

P is the principal amount (the initial investment)

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the time in years

We can use this formula for each of the two years and then add the results to find the final amount.

For the first year, we know that the principal (P) is £12000, the time (t) is 1 year, and the final amount (A) is £12336. We do not know the interest rate (r) or the compounding frequency (n), but we can solve for them using the given information.

Using the formula, we have:

£12336 = £12000(1 + r/n)^(n*1)

Dividing both sides by £12000, we get:

1.028 = (1 + r/n)^n

Taking the natural logarithm of both sides, we get:

ln(1.028) = n*ln(1 + r/n)

Solving for n, we get:

n = ln(1.028) / ln(1 + r/n)

For the second year, we know that the principal (P) is £12336 (the final amount from the first year), the time (t) is 1 year, the interest rate (r) is x/2%, and the compounding frequency (n) is the value we just calculated.

Using the formula, we have:

A = £12336(1 + (x/2)/n)^(n*1)

Substituting the value we calculated for n, we get:

A = £12336(1 + (x/2)/ln(1.028))^(ln(1.028)*1)

Simplifying, we get:

A = £12336(1 + (x/2)/ln(1.028))^ln(1.028)

So the value of Jean's investment at the end of 2 years is the result of compounding the interest earned in the first year and second year, which is:

Final amount = £12336(1 + (x/2)/ln(1.028))^ln(1.028) * (1 + x/200)

Note that we use the annual interest rate of x/2% in the second year, but we need to express it as a decimal by dividing by 100. Similarly, we use x/200 instead of x/100 to express the interest rate over the 2-year period.

Answer:

£12 508.70

Step-by-step explanation:

Jean invests £12 000 in an account paying compound interest for 2 years.

In the first year the rate of interest is x%.

At the end of the first year the value of Jean’s investment is £12 336.

​In the second year the rate of interest is: x/2 %

​What is the value of Jean’s investment at the end of 2 years?

First, we find the interest rate for the first year.

Amount at beginning: £12 000

Amount after accruing interest for 1 year: £12 336

Amount of accrued interest in 1 year: £12 336 - £12 000 = £336

Interest rate:

£336 is what percent of £12 000?

percent = part/whole × 100%

percent = £336/£12 000 × 100%

percent = 2.8%

The interest rate of the first year was 2.8%.

The interest rate of the second year is 1/2 × 2.8% = 1.4%.

100% + 1.4% = 101.4% = 0.0104

Value after the second year, which is starting at £12 336 and earning 1.4% for 1 year:

1.0104 × £12 336 = £12 508.70

Answer: x should be equal to 9 (please correct me if i'm wrong)

Step-by-step explanation: Let's say the answer for this problem is equal to x

4 -(-7) + (-2) = x

4 + 7 + (-2) = x

11 + (-2) = x

9 = x

The greatest volume of mortar mix, she could make, is 1.5 cubic meters.

The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

Mortar mix is made by mixing cement, sand, and quicklime in a ratio of 1:2:3.

Julie has 0.75 m³ of quicklime.

Let the volume of cement, sand, and quicklime be x, 2x, and 3x.

So,

3x = 0.75

Divide by 3 into both sides,

we get,

3x/3 = 0.75/3

x = 0.25

The total volume = the greatest volume of mortar mix

=  x + 2x + 3x

Substituting the value of x to the expression,

we get,

x + 3x + 3x = (0.25) + 2(0.25) + (90.25)

The greatest volume of mortar mix,

= 1.5 cubic meters.

Therefore, the required amount of volume is 1.5 cubic meters.

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The complete question:

Mortar mix is made by mixing cement, sand, and quicklime in a ratio of 1:2:3.

Julie has 0.75 m³ of quicklime.

She has plenty of sand and cement.

Work out the greatest volume of mortar mix she could make.

By adding the fractions and getting 5/6, we conclude that the correct option is B.

We know that Mariana has 5/6 of the crackers left, so we only need to select the option where both fractions add upt o 5/6.

When both fractions have the same denominator like:

a/b and c/b

The sum is:

a/b + c/b = (a + c)/b

Then the correct option is the second one:

3/6 + 2/6 = (3 + 2)/6 =5/6

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The new coordinates of the triangle after dilation by a scale factor of 0.5 with the origin as the center of dilation are F'(3, 2.5), H'(1, 0.5), and G'(5, 0.5).

To find the coordinates of the triangle after dilation by a scale factor of 0.5 with the origin as the center of dilation, we can use the following formula:

(x', y') = (0.5 × x, 0.5 × y)

where (x, y) are the original coordinates of the point and (x', y') are the new coordinates after dilation.

Let's apply this formula to each point of the triangle:

For point F(6,5):

x' = 0.5 × 6 = 3

y' = 0.5 × 5 = 2.5

The new coordinates of point F are (3, 2.5)

For point H(2,1):

x' = 0.5 × 2 = 1

y' = 0.5 × 1 = 0.5

The new coordinates of point H are (1, 0.5)

For point G(10,1):

x' = 0.5 × 10 = 5

y' = 0.5 × 1 = 0.5

The new coordinates of point G are (5, 0.5)

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The given question is incomplete, the complete question is:

what are the coordinates of triangle by a scale factor of 0.5 with the origin as the center of dilation ?

Answer:

155.744

Step-by-step explanation:

The height of the school building is approximately 9.69 meters or 10.53 meters (rounded to the nearest hundredth).

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the studies of relationships between angles and sides of triangles.

Let's denote the height of the school building as "h".

From the given information, we can draw a right triangle with the mirror on the ground, the top of the school building, and Aria's eyes as the vertices. The distance from Aria to the mirror is 1.25 meters, and the distance from the mirror to the school building is the unknown height "h". The distance from Aria's eyes to the mirror is 1.15 meters.

We can use similar triangles to set up an equation to solve for "h".

In the smaller triangle formed by Aria's eyes, the mirror, and the point directly below the top of the school building, we can see that:

h/1.25 = (h + 1.15)/11.45

This equation comes from the fact that the ratios of corresponding sides in similar triangles are equal.

Simplifying this equation gives us:

1.45h = 14.06875

Dividing both sides by 1.45 gives us:

h ≈ 9.6931

Hence, The height of the school building is approximately 9.69 meters or 10.53 meters (rounded to the nearest hundredth).

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Option a is the correct answer. The patient's description of vivid dreams is most likely occurring during rapid eye movement (REM) sleep.

During fast eye development (REM) rest, the mind is exceptionally dynamic, yet the muscles are loose, bringing about the trademark quick eye developments that give this stage its name. It is during REM rest that most dreaming happens. These fantasies will generally be clear, close to home, and frequently strange, and can be serious to such an extent that they might awaken the sleeper. Interestingly, during non-REM rest, the mind is less dynamic, and dreams are ordinarily less striking and vital. The way that the patient depicted clear dreams is serious areas of strength for a that they were in REM rest, as opposed to one of the non-REM stages.

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Answer:

Step-by-step explanation:

points

There are 20 ways to choose 2 letters from the set A, B, C, D, and E if the order of the choices is relevant

If the order of the choices is relevant, we are looking for the number of permutations of 2 letters chosen from a set of 5 letters. We can use the permutation formula to calculate this:

nPr = n! / (n - r)!

where n is the total number of items in the set (5 letters in this case), and r is the number of items we want to choose (2 letters in this case).

nPr = 5! / (5 - 2)!

nPr = 5! / 3!

nPr = 5 x 4 x 3 x 2 x 1 / (3 x 2 x 1)

Divide the numbers

nPr = 20

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The given question is incomplete, the complete question is:

Suppose we want to choose 2 letters, without replacement, from the 5 letters A, B, C, D, and E.

How many ways can this be done, if the order of the choices is relevant?

A linear equation can be solved in four steps. First, simplify; next, use the properties of addition and subtraction; then, use the properties of multiplication and division; and last, check your work.

Any equation whose variables' highest powers are all equal to one is said to be a linear equation. This results in a graph with a straight line and is typically written as Ax+By=C. Here, x and y are the variables; A and B are their respective coefficients; and C is a constant.

The steps to solve a linear equation are given by

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The roman numerals of 42 is XLII

Roman numerals are a number system that originated in ancient Rome and remained the standard numbering system throughout Europe until the late Middle Ages. Numbers are written using combinations of letters from the Latin alphabet, each letter has a fixed integer value, and only the following seven are used in modern style:

I V X L C D M

1 5 10 50 100 500 1000

The use of Roman numerals continued long after the fall of the Roman Empire. From the 14th century onwards, Roman numerals were replaced by Arabic numerals. However, this process was gradual and the use of Roman numerals continues to this day in some applications.

The roman numerals of 42 is

42 = 40 +2

for 40 = 50-10 =  XL

and for 2 II

so for 42 = XLII

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Answer:

1. The ball is thrown from a height of 2 ft

Step-by-step explanation:

Since 2 does not have a variable that would be the y-intercept; the y-intercept it where the ball is first getting thrown from.

The sides that cannont be the sides of a triangle are the ones in option B.

2cm, 6cm, 4cm

If A, B, and C are the sides of a triangle, then the triangular inequality says that:

A + B > C

A + C > B

C + B > A

So, any set of 3 sides where the sum of two of the sides is smaller than the other side cannot be the sides of a  triangle.

Then the correct option will be b:

2cm, 4cm, 6cm

If we add the two shorter ones we will get:

2cm + 4cm = 6cm

And that is not larger than the other side, so it isthe correct option.

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Answer:

75.4

Step-by-step explanation:

Volume of cylinder=πr2h

=π·22·6≈75.39822

The location of the 83rd percentile for a data set with 40 observations would be 34.03.

Data is the collection of data term that is organized and formatted in a specific way it's typically contains fact observation or statistics that are collected through a process of measurement or research data set can be used to answer question and help make informed decision they can be used in a variety of ways such as to identify trends on cover patterns and make prediction.


A percentile is a value on a scale of one hundred that indicates the percentage of a distribution that is equal to or below it. For example, the 83rd percentile for a data set with 40 observations would indicate that 83% of the observations in the data set are equal to or less than 34.03. To calculate the location of a given percentile, the formula is (p/100) * n, where p is the given percentile and n is the total number of observations. Therefore, for a data set with 40 observations and an 83rd percentile, the formula would be (83/100) * 40 = 33.2, which would be rounded up to 34.03.

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Answer:

option C

Step-by-step explanation:

let 'r' equal 'a number'

let 'is' mean 'equals'

3r = 14.1

Step-by-step explanation:

is mentioned above.. If you get some knowledge or liked it.please rate the answer

The sale price of the green beans represents a decrease of 16.67% compared to the original price of the beans.

To find the percent increase or decrease in the price of a can of green beans during the sale, we need to compare the sale price with the original price.

During the sale, the green beans were sold at a rate of 3 cans for $1.25, or approximately 41.67 cents per can:

Sale price per can = $1.25 / 3 = $0.4167 ≈ 41.67 cents

The original price of a can of green beans was 50 cents.

To find the percent increase or decrease in the price, we can use the following formula:

Percent increase or decrease = ((New value - Old value) / Old value) x 100%

Substituting the values, we get:

Percent increase or decrease = ((0.4167 - 0.5) / 0.5) x 100%

Percent increase or decrease = (-0.0833 / 0.5) x 100%

Percent increase or decrease = -16.67%

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Answer:

2.6

Step-by-step explanation:

I think the formula is 6x=14

Right triangle trigonometry involves using the relationships between the angles and sides of a right triangle, as defined by the trigonometric functions sine, cosine, and tangent, to solve for missing angles or sides.

To do right triangle trigonometry, you first need to identify which angles and sides are known and which are unknown. You can then use the definitions of sine, cosine, and tangent, as well as the Pythagorean theorem, to set up and solve equations that relate the known and unknown values.

For example, if you know the lengths of two sides of a right triangle, you can use the Pythagorean theorem to find the length of the third side. Alternatively, if you know the measure of one angle and the length of one side, you can use trigonometric functions to find the length of another side or the measure of another angle.

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The correct option is (C) Isosceles. An Isosceles triangle can be constructed with a 50° angle between two 8-inch sides.

This is because isosceles triangle having two sides that are equal in length, and have 50° angle, which is acute angle, that is less than 90°. This state that the remaining angle in the triangle must also be acute triangle, as the sum of all angles in a triangle must equal 180°.

This means that the remaining angle must be 80° (i.e. 180 - 50 = 80). An isosceles triangle is triangle consisting of  two sides of equal length and two angles of equal measure. The two equal sides that make up the isosceles triangle are referred to as the base and the remaining side is height or altitude.

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Answer:

Below

Step-by-step explanation:

a = 6 (Real numbers greater than 3)

b = 2 (Real numbers less than 8)

c = 1 (One satisfies this)