Identify the construction at the figure represents

angle bisector

perpendicular bisector

congruent angles

congruent segments

Answer:

1850 * 0.7^3 = 634.55

Step-by-step explanation:

The beverage was used medicinally as a patent-medicine for headaches and other neurological issues. The additives are mall amounts of the kola nuts

The Coca-Cola Company was intent on making sure that the American soldiers fighting in WWII were supplied with Coke.

The Coca-Cola Company was determined to supply Coke to the American soldiers fighting in World War Two. The beverage gave the men a taste of home and raised their spirits. Coca-Cola became linked to nationalism and backing for the war effort. Coca-Cola was regarded as the pinnacle of capitalism during the Cold War.

John Pemberton took the recipe for wine with cocaine in it, took the alcohol out, and added kola extract and soda water. Coca leaves and kola nuts both have relatively modest levels of caffeine and the alkaloid substance cocaine.

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Answer:

a) 0.8

b) 0.075

c) 0.04

d) 3.3125

Step-by-step explanation:

To find the decimal of a fraction, just divide.

And if it's a mixed number, first turn it into an improper fraction. For 3 5/16 multiply 3 by 16 then add the product to 5. It would be 53/16

Answer:

(12x+21)y  

12xy+21y

Answer:

10*0.11515

Step-by-step explanation:

Answer:

i think the 3rd one i have not done that in a while

Step-by-step explanation:

sorry if its not right

Answer:

The error is at (-4, 0) where 0 should be changed to 1

Step-by-step explanation:

The error was made at (-4, 0). The point should be (-4, 1) instead, because the y values should be increasing by 3 each time.

Based on the simulations from parts (A) thru (E), the shape of the distribution of "heads" is bell-shaped. Therefore, the correct answer is B. Bell-shaped.

What is the most probable distribution's shape?

Bell-shaped distributions, sometimes referred to as normal or Gaussian distributions in math and science, are the most significant probability distribution shapes since they are typically the result of sufficiently big data sets from naturally occurring random variables.

The mathematical idea known as the normal distribution, and also referred to as the Gaussian distribution, is commonly defined by the mound form.

When data points are utilized to plot a line for a particular item that satisfies the requirements of the normal distribution, a form called a mound is produced.

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Answer:

b

Step-by-step explanation:

The opportunity cost of 1 lunch box is 3 sandwich containers. This means workers are giving up the opportunity to produce 3 sandwich containers

The opportunity cost represents the value of the next best alternative forgone when making a choice. In this case, the workers at Shadowland have the option to produce either lunch boxes or sandwich containers.

Given that they can produce 6 lunch boxes or 18 sandwich containers per hour, we can calculate the opportunity cost.

To find the opportunity cost of 1 lunch box, we compare the number of sandwich containers that could have been produced in the same amount of time.

Since they can produce 18 sandwich containers per hour, the opportunity cost of 1 lunch box is the number of sandwich containers that could have been produced instead, which is 18/6 = 3.

Therefore, the opportunity cost of 1 lunch box is 3 sandwich containers. This means that for every lunch box produced, the workers are giving up the opportunity to produce 3 sandwich containers, which represents the trade-off in their production choices.

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Answer:

h =10

Step-by-step explanation:

3/7 = h/14 -2\7

3/7 = 1/14 h + -2/7

1/14 h + -2/7 = 3/7

1/14 h + -2/7 +2/7 = 3/7 + 2/7

1/14 h = 5/7

14 * ( 1/14h) = 14* (5/7)

h =10

1. like terms are basically terms that have the same variables and powers. 

2. We call terms "like terms" if 2 numbers have the same variables.

3. Polynomials form a system similar to the system of integers, in that polynomials are closed under the operations of addition, subtraction, and multiplication. Polynomials will be closed under an operation if the operation produces another polynomial. Polynomials are closed under subtraction.

Answer: b yes

Step-by-step explanation: the unit rate will be 48

Answer:

B

Step-by-step explanation:

yes, the proportional ratio is y/x=k

156/3.25=48

204/4.25=48

252/5.25=48

the ratio is 48

Answer:

Density = 8g/cm³

Step-by-step explanation:

Density = Mass/Volume

Given the following

Mass = 960g

Volume = 120cm^3

Substitute

Density = 960g/120cm^3

Density = 8g/cm³

Answer:

$2.90

Step-by-step explanation:

We know

Philip's meal costs $14.50 at a local restaurant. Philip would like to a 20% tip

20% = 0.2

14.50 x 0.2 = $2.90

So, he should leave $2.90 as a tip.

If an outfit consists of 1 shirt, 1 pair of pants, 1 tie and a pair of shoes, then 144 different outfits Ayden can make.

In the given question we have to find how many different outfits can ayden make.

Ayden has 6 shirts, 4 pairs of pants, 3 ties, and 2 pairs of shoes.

We have to choose outfit for interview consists of 1 shirt, 1 pair of pants, 1 tie and a pair of shoes.

We have to choose 1 shirt and he has 6 shirts. So he can choose different shirts in 6 ways.

Similarly;

We have to choose 1 pair of pants and he has 4 pair of pants. So he can choose different pair of pants in 4 ways.

We have to choose 1 tie and he has 3 ties. So he can choose different ties in 3 ways.

We have to choose one pair of shoes and he has 2 pair of shoes. So he can choose different pair of shoes in 2 ways.

So the total different outfits that he select = 6*4*3*2 = 144

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Answer:

120°

Step-by-step explanation:

We Know

The total sum of angles of a hexagon is 720°

What is the measure of each interior angle of a regular hexagon?

We Take

720 ÷ 6 = 120°

So, each interior angle of a regular hexagon is 120°.

The fifth term of the arithmetic sequence is -1190.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. To find the fifth term, we can use the formula for the nth term of an arithmetic sequence:

aₙ = a₁ + (n - 1) * d

where aₙ represents the nth term, a₁ is the first term, n is the position of the term, and d is the common difference.

Given that the 100th term is -1240 and the common difference is -25, we can substitute these values into the formula.

Since the fifth term corresponds to n = 5, we can calculate:

a₅ = -1240 + (5 - 1) * (-25)

= -1240 + 4 * (-25)

= -1240 - 100

= -1340

Therefore, the fifth term of the arithmetic sequence is -1190.

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Answer:

Lol, do you still need the answer? If you do, here it is:

The equation is : X+Y=21,   X+Y+21 can be the following options:

1+20=21

2+19=21

3+18=21

4+17=21

5+16=21

6+15=21

7+14=21

8+13=21

9+12=21

10+11=21

Hope this helps, and have a good day :D

The area of triangle KLM is 3.5 square units.

The area of triangle KLM, we first need to determine the length of its base and height.

Since the triangle is drawn inside a rectangle, we can utilize the coordinates of its vertices to calculate these values.

The base of triangle KLM is determined by the distance between points K and L.

Using the distance formula, we can find the length of KL:

KL = √[(x2 - x1)² + (y2 - y1)²]

= √[(-5 - (-6))² + (-4 - (-5))²]

= √[1² + 1²]

= √2

Next, we need to determine the height of triangle KLM.

This can be calculated by finding the perpendicular distance between the line containing KL and point M.

To do this, we use the formula for the distance between a point and a line.

The equation of the line passing through points K and L can be found by using the slope-intercept form (y = mx + b):

m = (y2 - y1) / (x2 - x1)

= (-4 - (-5)) / (-5 - (-6))

= 1/1

= 1

Using point L, we can determine the equation of the line:

-4 = 1(-5) + b

-4 = -5 + b

b = -4 + 5

b = 1

So, the equation of the line KL is y = x + 1.

Now, we can find the perpendicular distance between line KL and point M. The formula for this distance is:

Distance = |ax + by + c| / √(a² + b²)

a = 1, b = -1 (negative reciprocal of the slope), and c = -1 (substituting the coordinates of point M into the equation of line KL). Calculating the distance:

Distance = |1(-8) + (-1)(-2) + (-1)| / √(1² + (-1)²)

= |-8 + 2 - 1| / √(1 + 1)

= |-7| / √2

= 7 / √2

Now that we have the base (KL = √2) and the height (7 / √2), we can calculate the area of triangle KLM:

Area = (1/2) × base × height

= (1/2) × √2 × (7 / √2)

= (1/2) × 7

= 7/2

= 3.5

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Therefore, after answering the given query, we can state that With simple interest  a 5% rise per year, Beth's income in 14 years will be $69,394.38.

By dividing the base by the interest income, the time between payments, and many other factors, simple interest is determined. Simple return equals principle plus interest plus hours is the formula for use in marketing. The easiest way to compute interest is by using this method. The most typical method for calculating payment is as a portion of the principle amount. For example, if he takes $100 from a buddy and undertakes to pay back the loan at 5% interest, he only will pay his share of the 100% curiosity. $100 (0.05) = $5. When you borrow money, you must pay interest, and you must collect interest when you give it. Typically, interest is determined as an indicator of the overall of the loan total. The loan's interest is the name given to this percentage.

The following is the compound interest formula:

A is equal to P(1 + r/n)(n*t), where A is the total sum.

P is equal to the starting principal.

the annual compound interest rate at the annual compound interest rate at the annual compound interest rate at the rate at the rate (as a decimal)

n represents how many times the interest is compounded annually.

t = the duration in years

The beginning wage (P) in this scenario is $37,000, the interest rate (r) is 5%, the number of times compounded (n) is 1 (since we're assuming the raise occurs once a year), and the number of years (t) is 14. This allows us to enter these values into the formula:

A =\($37,000(1 + 0.05/1)^(1*14)\)

A = $37,000(1.05)^14*A =  $69,394.38

With a 5% rise per year, Beth's income in 14 years will be $69,394.38.

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Answer:

Answer: F. 1,275% and 12.75.

Step-by-step explanation:

Ratios

Ratios are usually expressed as decimals, fractions, colon notation, and percentages.

For example, if the ratio of two quantities is 2, it can be expressed as:

2, 2/1, 2:1, 200%

To obtain the percentage expression, just multiply by 100%.

The price of the popcorn sold at a movie theatre was marked up as 12 3/4 times the original cost.

The mixed fraction can be converted to a decimal by just adding their parts as follows:

12 + 3/4 = 12.75

Now to express it as a percentage, multiply by 100%:

12.75 * 100% = 1,275%

Answer: F. 1,275% and 12.75.

x = 5/4   or   x = 15/4

Step-by-step explanation:

The Intermediate Value Theorem (IVT) states that for any continuous function f(z) and any real number a, if f(a) and f(b) have opposite signs, then there exists a number c in the interval (a,b) such that f(c) = 0.

The IVT states that if a continuous function has different signs (positive or negative) at two points in its domain, then it must have a zero in between those two points. In the case of the function f(z) = 26z^53 + 3, we are asked to find an integer n such that there exists a zero of the function in the interval [n/4, (n + 1)/4].

To find the solution, we can use the IVT by considering two points in the interval with opposite signs. For example, if we take n = 1, then the interval is [1/4, 2/4]. We can evaluate the function at the two endpoints of the interval and look for opposite signs:

f(1/4) = 26 * (1/4)^53 + 3 > 0

f(2/4) = 26 * (2/4)^53 + 3 < 0

Since the function has opposite signs at the endpoints, the IVT guarantees that there exists a zero of the function in the interval [1/4, 2/4]. This means that for n = 1, the IVT is satisfied and the function has a zero in the interval [1/4, 2/4].

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Complete Question:

For which integer n, 0 < n < 3 , does the IVT say that f(z) 26 53 + 3 has & zero in the interval [n/4, (n + 1)/4]?

A standard normal random variable (Z) has a mean of 0 and a standard deviation of 1. The probability of Z being greater than 0 is equal to the area under the normal curve to the right of 0, which is exactly half of the total area under the curve (since the curve is symmetric around the mean of 0). Therefore, P(Z>0) is equal to 0.5.

A standard normal random variable, like Z in your question, follows a standard normal distribution, which is a special type of normal distribution with a mean of 0 and a standard deviation of 1. Now, you're asked to find the probability P(Z > 0).

Since the standard normal distribution is symmetrical around the mean (0), the probability of Z being greater than 0 is equal to the probability of Z being less than 0. In other words, half of the distribution is on the right side of the mean, and the other half is on the left side.

Therefore, P(Z > 0) = 0.5, which is your answer.

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Using the equation of r, we found the equation of S as follows:

        S = 16x² + 80x + 100

What is meant by an equation?

A formula called an equation uses the equals symbol (=) to denote the equality of two expressions. An equal sign ("=") links two expressions together to form an equation. The two expressions on either side of the equals sign are referred to as the "left-hand side" and "right-hand side" of the equation. The right side of an equation is typically assumed to be zero. As we can balance this by deducting the expression on the right from the expressions on both sides, this won't reduce the generality. A statement is not an equation if it has no "equal to" sign. That will be regarded as an expression.

Given the equation of r as follows:

r = 2x + 5

r² = (2x + 5)² =  (2x + 5) *  (2x + 5)

Opening brackets and solving,

(2x + 5) *  (2x + 5) = 2x * 2x + 2x *5 + 5 * 2x + 5*5

                            = 4x² + 20x + 25

Now another equation is given as S.

S = 4r² = 4(4x² + 20x + 25) = 16x² + 80x + 100

Therefore using the equation of r, we found the equation of S as follows:

        S = 16x² + 80x + 100

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Answer:

Step-by-step explanation:

Sum of all angles of pentagon = (5-2)*180 = 3 *180 = 540

4x + 2 +6x - 6 + 4x - 10 + 5x - 11 + 5x + 13 = 540

4x + 6x  + 4x + 5x + 5x + 2 - 6 - 10 - 11 + 13 = 540

                                                     24x  -12 = 540

                                                            24x = 540 + 12

                                                             24x = 552

                                                                 x = 552/24

                                                                  x = 23

∠P = 4x + 2

     = 4*23 + 2

     = 92 + 2

    = 94°

Answer:

66 degrees

Step-by-step explanation:

WV is the radius and WX is a tangent, so angle W is 90 degrees. So, 90+24=114 and 180-114 is 66.

Hope this is helpful! :)