Identify the pair of angles shown

A. Same side interior angles
B. Alternate exterior angles
C. Alternate interior angles
D. Corresponding angles

Help!!!
(Picture)

The maximum length or width we can increase so that it will not exceed the capacity of AC  is 100 feet.

An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel, opposite sides. Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The rectangle's longer side is its length, while its shorter side is its breadth.

Given:

The volume AC can cool, v = 40000 feet³,

The dimensions of the room are 75 feet × 50 feet × 8 feet.,

Calculate the volume of the room as shown below,

Volume = 75 feet × 50 feet × 8 feet

Volume = 30000 feet³

The remaining margin of volume = 40000 - 30000

The remaining margin of volume = 10000 feet³

Thus, the maximum dimension we can increase in length and width is 100 feet.

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The probability that the next person will purchase exactly one costume is 0.57.

what is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given:

146 visitors purchased no costume.

230 visitors purchased exactly one costume.

31 visitors purchased more than one costume.

So, the total number of customers are,

146 + 230 + 31 = 407

The total visitors purchased exactly one costume are 230.

So,

P(Purchase exactly one costume) = 230 / 407 = 0.5651 ≈ 0.57

Hence, the probability that the next person will purchase exactly one costume is 0.57.

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On translating n 1 unit right and 4 unit up , we get the coordinates of B as  B'( 3, 9).

The given triangle ABC has the following vertices A(1, 3), B(2, 5), and C(5, 3).

We will apply the translation rule on the following triangle,

T⟨1, 4⟩

A(1, 3)

A( 1+ 1 , 3+ 4 ) = A( 2, 7)

B(2, 5)

B( 2+ 1 , 5+ 4 ) = B( 3, 9)

C(5, 3)

( 5+ 1 , 3+ 4 ) = C ( 6, 7)

Therefore , the coordinates of B'  is B'( 3, 9) as calculated after using the rule.

Translation rule is a rule in mathematics which moves a shape left , right , up or down. The newly formed shape is the same as before , just their direction gets changed.

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The values of a= 2, b= -12 and c= 5.

Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term.

Quadratic equations are another name for it.

The general form of the quadratic equation is: ax² + bx + c = 0. where x is an unknown variable and a, b, c are numerical coefficients.

Given:

Equation: 2x² = 12x - 5

Rewriting the equation

2x² - 12x + 5 =0

We know that the standard form of Quadratic Equation is

ax² + bx + c = 0

where a, b, and c are integers and a ≠ 0.

Now, Comparing the standard equation with Given equation we get

a= 2, b= -12, c= 5

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The dimensions of the closet are 4 feet long and 12 feet wide and the perimeter is 32 feet

The perimeter of a two-dimensional shape is the total length of the outline. To find the perimeter of a rectangle, we add the lengths of all four sides.

P=2(l+w) where l=length and w = width

Given here rectangular closet is 4 feet long and It is 3 times as wide as it is long. Thus its width would be 12 feet

Now perimeter of the closet using the formula above we get

P = 2(4+12)

   = 32 feet

Hence the perimeter is equal to 32 feet.

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he provider ordered lactated ringers (lr) to infuse at 75 ml/hr for the next 24 hours. 18.0 liters of lr will infuse with rate of infusion.

First, we need to determine how many milliliters of LR will be infused over 24 hours. So, we need to multiply the rate of infusion (75 mL/hr) by the number of hours (24). This will give us the total number of milliliters that will be infused. In this case, it is 75 x 24 = 1800 mL. To determine the number of liters, we need to divide this by 1000 since there are 1000 mL in 1 L. Therefore, 1800 mL/1000 = 1.8 L. We can round this number up to the tenth (one decimal place), and the answer is 18.0 L.

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The coefficient of the equation A = 5.4 x 10⁸ is c = 5.4

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the coefficient of the equation be c

A = 5.4 x 10⁸   be equation (1)

On simplifying the equation , we get

Group coefficients together and exponents together to multiply the numbers in the scientific notation

So , A = c x bˣ

where c is the coefficient

Substituting the values in the equation , we get

The value of c = 5.4

Therefore , the value of c is 5.4

Hence , the coefficient is 5.4

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1) An equation that gives the total cost in dollars, d, of attending the event if you order z ounces of fro-yo is d = $5 + $0.40z

2) 2. If your cup weighs 14 ounces, you would pay $10.6 in total for the evening.

A mathematical equation is a statement that two amounts or values are equal, such as 6 x 4 = 12 x 2. 2. A noun that counts.

Given,

The school jazz band is playing at Sweet Yo's, a frozen yogurt shop. It costs $5 to get in the door for the event and if you'd like to eat fro-yo to eat while listening to their tunes you can fill your cup with yogurt and toppings for $0.40 per ounce.

1) Total cost = d

Total ounces = z

Equation

d = $5 + $0.40z

2) If cup weighs 14 ounces

d = $5 + 0.40(14)

d = $5 + $5.6

Total cost:

d = $10.6

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Mixed Number Form is 102184532768.

10∑n=18(14)n−1

The sum of a finite geometric series can be found using the formula a(1−rn1−r)

where a is the first term and r

is the ratio between successive terms.

Find the ratio of successive terms by plugging into the formula r=an+1an

and simplifying.

r=14

Find the first term in the series by substituting in the lower bound and simplifying.

a=8

Substitute the values of the ratio, first term, and number of terms into the sum formula.

81−(14)101−14

Simplify.

34952532768

The result can be shown in multiple forms.

Exact Form:

34952532768

Decimal Form:

10.66665649…

Mixed Number Form:

102184532768

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The probability that at least 2 babies out of a cluster of 5 babies will speak tomorrow is 47/128.

The probability that less than 2 babies will speak is

5C0 * (0.25)^0 * (0.75)^5 +  5C1 * (0.25)^1 * (0.75)^4

= (0.75)^5 +  5 * 0.25 * (0.75)^4

(0.75)^5+5*0.25*(0.75)^4 = 81/128

Therefore,

probability that 2 or more will speak is  

=  1- 81/128 = 47/128

The binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and having its own Boolean-valued outcome: success (with probability p) or failure (with probability display style q=1-pq=1-p).

This distribution is used in probability theory and statistics. A Bernoulli trial, or experiment, is another name for a single success-or-failure experiment, and a Bernoulli process is another name for a series of results.

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Answer:

A

Step-by-step explanation:

cos A = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{18}{30}[/tex] = [tex]\frac{3}{5}[/tex]

Answer:

y= 1/2x

Step-by-step explanation:

If y is 2 and x is 4

2= 1/2 (4)

2 = 2

Answer:

Mean, median, mode, and range are all statistical measures that are used to summarize and analyze data. Mean is the arithmetic average of a set of numbers, calculated by adding all the numbers together and dividing by the total number of values. Median is the middle value in a set of numbers, which is the value that divides the data into two equal halves. Mode is the value that occurs most frequently in a set of numbers. Range is the difference between the largest and smallest values in a set of numbers.

Mean is commonly used to calculate the average value of a set of numbers. The Median is commonly used to find the middle value in a set of numbers, especially when the data is not evenly distributed. Mode is commonly used to find the most frequent value in a set of numbers. The range is commonly used to find the difference between the largest and smallest values in a set of numbers.

All of these measures are useful for different purposes, and which measure to use will depend on the data and the question being asked. In general, mean is used when the data is evenly distributed, median is used when the data is not evenly distributed, mode is used when the data is categorical rather than numerical, and range is used to measure the spread of the data.

Ue the given sets U={a,b,c,d,…,x,y,z} X={t,e,a,,i,n,g} Y={,u,a,v,e} therefore the elements in  X n Y is a, e

we have to calculate |X∩Y|

U={a,b,c,d,…,x,y,z}

X={t,e,a,,i,n,g}

Y={,u,a,v,e}

X n Y= a, e

because in intersection set the elements coming in XnY is those which are common in X and Y

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Percentage for each enantiomer is 95%, 5%. Option (d) is Correct.

We must divide the value by the entire value to find the percentage, and then multiply the resulting number by 100. A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals.

The symbol "%" is frequently written after the number to indicate percentages. %, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

% ee = % enantiomer A - % ensarstomer B

wheee ee is enantiomeric excess.

ee = 90%.

In the provided options, 90%. the difference is given by subtracting 95%, 5%

95% - 5% = 90%

4th option is 5%, 90% correct.

Percentage of each enantiomer is 95%, 5%.

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Delilah is baking cupcakes for her brother's birthday party. She has already made 14 cupcakes and is making 2 cupcakes per hour. How many cupcakes will she have in 10 hours? How many hours does it take to make 20 cupcakes?

Answer:c

Step-by-step explanation: i did the test

Answer:

1/15

Step-by-step explanation:

3/10 x 2/9

Answer:

Variables

Step-by-step explanation:

Variables are the characteristics of the individuals of the population being studied.

Answer:

A glide.

Step-by-step explanation:

The image is a shift or a glide.

Reflection is either changes the arrow direction the other direction.

A glide reflection is both.

The rate of  cabin cruiser in calm water id 12 miles/h and the rate of the current is 3 miles/h.

let  the speed of cabin cruiser in still water be x miles/h

let  the speed of current be y miles/h

during travelling with the current, speed of cabin cruiser = (x+y) miles/h

during travelling against the current, speed of cabin cruiser =(x-y) miles/h

time taken during case 1 = [tex]\frac{45}{x+y}[/tex] =3 h  --->given

=> x+y = 45/3

after solving x+y=15   ------ (i)

time taken during case 2(against current) = [tex]\frac{45}{x-y}[/tex] =5  --->given

=> x-y = 45/5

after solving x-y =9   -------- (ii)

adding equation (i) and (ii) we get

x+y+x-y = 15+9

=> 2*x=24

=> x= 12

so x= 12 miles/h

so y=15-x= 15- 12 = 3miles/h

so x = 12 miles/h ,y= 3miles/h

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Answer:

1st one

Step-by-step explanation:

So 2|x|<4 = |x|<2, and since absolute values are always positive, I believe it is the 1st one.(Sorry if its not right I'm not very good in this area.)

Answer:

a. 25%

b. 5%

Step-by-step explanation:

a. Take 60000 divided by 240000, then times 100% = 25%

So the solution for a is 25%

b. Take 12000 divided by 240000, then times 100% = 5%

So the answer for b is 5%

The annual interest rate would have to be about 0.57% in order to earn $1200 in interest in 3.5 years. Rounded to two decimal places, the annual interest rate would have to be about 0.57%.

What is an annual interest rate?

The annual interest rate is the percentage of the principal (the initial amount of money invested or borrowed) that is charged as interest on a loan or earned on an investment over a period of one year. It is used to calculate the amount of interest that will be earned or charged over a given period of time.

To determine the annual interest rate that an account would have to offer in order to earn $1200 in interest in 3.5 years, we need to use the following formula:

rate = (interest / principal) * (1 / time)

Where the rate is the annual interest rate, interest is the amount of interest earned, the principal is the amount of money invested, and time is the length of time in years.

Plugging in the given values, we get:

rate = ($1200 / $60000) * (1 / 3.5)

= 0.02 * (1 / 3.5)

= 0.00571428571

Hence, the annual interest rate would have to be about 0.57% in order to earn $1200 in interest in 3.5 years. Rounded to two decimal places, the annual interest rate would have to be about 0.57%.

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The possible locations for the walkway bridge are 1, 5, and 6.

What is factorization?

Writing a number or other mathematical object as the result of numerous factors—typically smaller or simpler objects of the same kind—is known as factorization or factoring in mathematics.

Here, we have

Given

The function can model a section of a roller coaster:

F(x) = x⁵ - 5x⁴ - 31x³ + 113x² + 282x - 360.

We have to find the possible locations for the walkway bridge.

Now, we factorize the given function

F(x) = x⁵ - 5x⁴ - 31x³ + 113x² + 282x - 360

F(x) = (x-1)(x+3)(x+4)(x-5)(x-6)

then, x - 1 = 0, x+3 = 0, x+4 = 0, x-5 = 0, x-6 = 0

x = 1, -3, -4, 5, 6, becausex>0

s0, x = 1, 5, 6

Hence, the possible locations for the walkway bridge are 1, 5, and 6.

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Answer:

The answer is 13 because that is the month that both memberships will cost the same amount of money.

Step-by-step explanation:

First translate the question into equations.

Total Gym:

100+20m

Where "m" equals the amount of months

Fitness Plus Elite

35+25m

Where "m" equals the amount of months

Set the equations equal to each other and solve for m, or the amount of months it takes to get the same price for each membership.

100+20m=35+25m Subtract 35 from both sides.

65+20m=25m Subtract 20m from both sides

65=5m Divide both sides by 5

13=m Both memberships will cost the same amount of money at 13 months. You can substitute this value into the original equations to check your work.

100+20(13)=$360

35+25(13)=$360

The answer is 13 because that is the month that both memberships will cost the same amount of money.

Answer:

$43

Step-by-step explanation:

[tex]f(2.75) = 12(2.75) + 10 [/tex]

[tex] f(2.75) = 33 + 10 = 43[/tex]

There are 10240 bacteria after 3 hours.

Initial population = 20

Time period = 3 hours

Time period in minutes = 3 hours x 60 minutes = 180 minutes

Number of doublings = 180 minutes / 20 minutes = 9 doublings

Final population = 20 x 2^9

Final population = 20 x 512

Final population = 10240

Bacteria doubling is the process in which one bacterial cell divides into two identical daughter cells. This process is known as binary fission and is the primary way bacteria reproduce. During this process, a single bacterium first replicates its single chromosome, which is then partitioned into two identical parts. The single cell then divides into two daughter cells, each containing one of the replicated chromosomes. This process is incredibly fast and can occur in as little as twenty minutes.

Bacterial doubling is an important process, as it allows bacteria to rapidly increase in number and spread. In optimal conditions, a single bacterial cell can divide into two daughter cells every twenty minutes, and this can continue for many generations. For this reason, bacteria can quickly become abundant in a given environment and pose a potential threat to human health. Fortunately, antibiotics are often able to help control bacterial doubling and limit the spread of certain bacteria.

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The measurement of m∠2 = 47°.

What is an angle?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

Given that m∠PQR = 75° and m∠1 = 28°.

From the figure ∠PQS = m∠1 and ∠SQR = m∠2

The angle ∠PQR can be written as the sum of two angles.

∠PQR = ∠PQS + ∠SQR

∠PQR = m∠1 + m∠2

Putting m∠PQR = 75°  and  m∠1 = 28°:

75° = 28° + m∠2

Subtract 28° from both sides:

m∠2 = 75° - 28°

m∠2 = 47°

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The value of a is 133 and b is 999.

A vinculum is a horizontal line that serves a variety of functions in mathematical notation.  In decimal numbers, a bar across one or more consecutive digits indicates that the pattern of digits beneath the bar repeats indefinitely.

Given [tex]0.\overline{1331}[/tex]. This means that 1331 repeats many times in this expression. This expression is the same as 1330/9990.

1, 7, 19, and 133 are factors of 133, and  1, 3, 9, 27, 37, 111, 333, and 999 are the factors of 999. From this, the GCD is found to be 1.

Therefore, by simplifying, we get 1330/9990 = 133/999. The answer to a is 133 and b is 999.

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