the shorter leg of a right triangle is 8 less than the hypotenuse. the longer leg is one less than the hypotenuse. find the perimeter

Answers

Answer 1

The perimeter of the right triangle is 30 units.

How to find the perimeter of a right triangle?

The shorter leg of the right triangle is 8 less than the hypotenuse. The longer leg is one less than the hypotenuse.

Let's break the information into smaller chunk.

The shorter leg of a right triangle is 8 less than the hypotenuse.

The longer leg is one less than the hypotenuse.

The hypotenuse is the longest side of a right triangle.

Therefore,

let

the hypotenuse = x

short leg = x - 8

long leg = x - 1

Applying Pythagorean theorem in the given right triangle.

c² = a² + b²

where

c = hypotenusea and b are the other legs.

(x - 1)² + (x - 8)² = x²

(x - 1)(x - 1) + (x - 8)(x - 8) = x²

x² - x - x + 1 + x² - 8x - 8x + 64 = x²

2x² - 18x + 65 = x²

x² - 18x + 65 = 0

(x - 13)(x - 5) = 0

Therefore,

x = 5 and x = 13

13² - 5² = a²

169 - 25 = a²

a = √144

a = 12

So, the hypotenuse is 13, the shorter leg is 5 and the longer leg is 12.

perimeter of the right triangle = 13 + 5 + 12 = 30

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Related Questions

Please help as fast as you can!!!!
-2 1/3 - 1 3/4=

Answers

-4.08333333333
I think that is the answer

4=8/3

I hope this helps, I think thin is the right answer

​solve the problem. a basketball player makes approximately 69% of free throws. if she plays in a game in which she shoots 7 free throws, what is the probability the she will make all 7?

Answers

If she plays in a game in which she shoots 7 free throws, the probability that she will make all 7 = 0.0188

For given question,

a basketball player makes approximately 69% of free throws.

So, the probability of success (p) = 0.69

the probability of failure (q) = 0.31

She plays in a game in which she shoots 7 free throws.

So, n = 7

We need to find the probability that she will make all 7.

Using Binomial probability Distribution,

For x = 7,

[tex]P(x = 7) =~ ^7C_7\times (0.67)^7\times (0.31)^{7-7}\\\\P(x=7)= 1\times 0.0606\times 0.31\\\\P(x=7)=0.0188[/tex]

Therefore,  if she plays in a game in which she shoots 7 free throws, the probability that she will make all 7 = 0.0188

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Suppose Aji and sunshine have to pay $11 in royalties for each Beatles song and $7 for each Donovan song. How many of each type should they put on their CD to minimize their royalty costs?

Answers

To minimize their royal costs to $200, the number of Donovan songs to include is 15 and the number of Beatles songs to include is 5.

What are ratios?

Ratios are numerical relationships between variables that show how much each variable is contained in another.

Ratios are stated in fractions, percentages, or decimals.

Data and Calculations:

Total songs to include in the song = 20

The ratio of Donovan and Beatles = 5:1.5

The number of Donovan songs to include = 15 (20/6.5 x 5)

The number of Beatles songs to include = 5 (20/6.5 x 1.5)

Royalty cost per Donovan song = $11

Royalty cost per Beatles song = $7

Total royalty costs for Donovan and Beatles song = $200 ($11 x 15 + $7 x 5)

Thus, the number of Donovan songs to include is 15 and the number of Beatles songs to include is 5.

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Question Completion:

Aji and Sunshine want to make a CD of songs from the 1960s to donate to their school library to be broadcast during school picnics. Sunshine's parents were big fans of the 60s singer Donovan, and they named her after his song "Sunshine Superman." Aji's folks were devotees of the Beatles. Aji and Sunshine want their CD to consist entirely of songs by Donovan and the Beatles. Because Sunshine is named after a Donovan song, she wants to include at least as many Donovan songs as Beatles songs. Aji agrees. In return, Sunshine agrees to include at least five Beatles songs. 5 1.5 To provide enough variety to make the mix interesting, they decide to include at least 20 songs altogether.

choose the first set in the list of natural​ numbers, whole​ numbers, integers, rational​ numbers, and real numbers that describes the following number.

Answers

The given number is a real number.

What are real numbers?

A real number is a value of a continuous quantity that can be used to indicate a distance along a line in mathematics.

We are given the following in the question:

{natural​ numbers, whole​ numbers, integers, rational​ numbers, real numbers}

π / 108

We have to tell the type of number that describes the given fraction.

Evaluating the value, we have,

0.0290888208666...........

This is not a natural number or a whole number. This is not a rational number.

Since is an irrational number, thus quotient of an irrational number and a rational number is an irrational number.

Thus, it is a real number.

The complete question is given below:-

Choose the first set in the list of natural​ numbers, whole​ numbers, integers, rational​ numbers, and real numbers that describes the following number. StartFraction pi Over 108 EndFraction.

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Find the product of -2r² (12r³ − 2r² − 9r + 11) in standard form.​

Answers

Answer:

-24r⁵ + 4r⁴ + 18r³ - 22r².

Step-by-step explanation:

-2r² (12r³ − 2r² − 9r + 11)

= -24r⁵ + 4r⁴ + 18r³ - 22r²

Answer:

Step-by-step explanation: Refer to attachment.

Evaluate.
4-6 |3-5| /3

Answers

Answer:

0

Step-by-step explanation:

tap A fills 260 liters of water in 4 hours
tap B fills 248 liters in 4 hours
how many more liters tap A can fill than tap B in 8 hours

Answers

Answer:

Step-by-step explanation:

identify whether the statement describes inferential statistics or descriptive statistics. the average age of the students in a statistics class is 20 years.

Answers

The statement ''The average age of the students in a statistics class is 20 years'' describes descriptive statistics.

As they're used to represent a particular records set, metrics like average, median, mode, standard deviation, and variety are categorized underneath descriptive information.however, when a speculation check is carried out to make inferences about a population from sample records, it's miles known as inferential data.As right here we're given the average age of all 20 students in the magnificence right here, and we are not seeking to prediction from the sample records, and we're directly getting it as a population parameter. therefore descriptive statistics is the correct solution here.via creating summaries of records samples, descriptive statistics can be used to describe the characteristics of a facts set.

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suppose that $a$ and $b$ are digits, not both nine and not both zero, and the repeating decimal $0.\overline{ab}$ is expressed as a fraction in lowest terms. how many different denominators are possible?

Answers

The possible denominators are {3, 9, 11, 33, 99}.

What is the Quotient?

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

We have been given that a and b are digits, not both nine and not both zero, and the repeating decimal.

⇒ 100x = ab⋅abababab

⇒ x = 0.abababab

Subtract the above equation from 100x = ab⋅abababab,

So  99x = ab

The denominator of this fraction will always be a divisor of 99 when represented in the lowest term = 3⋅3⋅11    

According to this, we have the options in the set. {1, 3, 9, 11, 33, 99}.  

Since a and b both are not both 9 and not both zero the denominator 1 cannot be possible.

Hence, the possible denominators are {3, 9, 11, 33, 99}.

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Evaluate rs + 14s when r = 6 and s = 1/4

Answers

Answer:

5

Step-by-step explanation:

rs + 14s

(6)(1/4) + 14(1/4)

[tex]\frac{6}{4}[/tex] + [tex]\frac{14}{4}[/tex] = [tex]\frac{20}{4}[/tex] = 5

Answer:

5

Step-by-step explanation:

rs + 14s

r = 6

s = 1/4

= 6*1/4 + 14*1/4

= 6/4 + 14/4

= (6+14) / 4

= 20/4

= 5

without solving determine whether the solution of 1/3x =21 is greater than or less then 21. explain

Answers

solution of 1/3x=21 is greater than 21.

What does a linear equation mean in mathematics?

A linear equation only has one or two variables. In a linear equation, no variable can be multiplied by a value greater than one or used as the denominator of a fraction. When you find the values that make a linear equation true and plot those values on a coordinate grid, all the points fall on the same line.

CALCULATION

Solving the linear equation

x/3 = 21

multiplying  by  3 on  both  sides

x/3 * 3 = 21 * 3

x = 63

→63>21,

that is, solution of the linear equation is greater than 21.

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[tex]\frac{-x}{3} + 4 = 20[/tex]

Answers

The solution of the linear equation:

-x/3 + 4 = 20

Is x = -48

How to solve the linear equation?

Here we have the linear equation:

-x/3 + 4 = 20

And we want to solve it for x. Which means that we need to isolate x in one of the sides of the linear equation.

Remember that we can perform the same operation in both sides of the equation, so we start by subtracting 4 in both sides, then we get:

-x/3 + 4 - 4 = 20 - 4

-x/3 = 16

Now we can multiply both sides of the equation by -3, then we get:

-3*(-x/3)=  -3*16

x = -48

The solution of the linear equation is x = -48

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Solve the equations and check the results a. 4x+5=17-2x

Answers

4x+2x=17-5
6x=12
X=12:6
X=2

How many solutions (m, n) exist for the equation n = √(100 - m²) where both m and
n are integers?
(A) 4
(C) 7
(D) 8
(B) 6
(E) 10

Answers

Answer:

A) 4

Step-by-step explanation:

First note that m cannot exceed 10 otherwise 100-m² will be negative and √(100-m²) will not be a real number much less an integer

Enumerate all values of m from 0 through 10, find the square, subtract from 100 and see if the result is a perfect square.- we take the square root and see if it is an integer value. The table below details everything. m and n are integers on in 4 cases m = 0, 6, 8 or 10.

Hence the answer is 4 solutions

m   m²    100-m²    √(100-m²)        

0 0 100        10

1 1 99

2 4 96         9.797958971

3 9 91         9.539392014

4 16 84         9.16515139

5 25 75         8.660254038

6 36 64         8

7 49 51         7.141428429

8 64 36         6

9 81 19        4.358898944

10 100 0        0

it takes $24$ minutes for jana to walk one mile. at that rate, how far in miles will she walk in $10$ minutes? express your answer as a decimal to the nearest tenth.

Answers

This shows that she covered 0.4 miles in 10mins

Rate of change

Speed is defined as the rate of change of distance.

If it takes 24 minutes for jana to walk one mile, the rate of Jana is expressed as;

Rate= 24/1 mile

Rate = 24min/mile

In order to determine the distance she walk in 10 minutes, we will have;

Distance in 10min = 10/24

Distance in 10 min = 0.4 miles

This shows that she covered 0.4 miles in 10mins

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Which multiplication equation best represents the figure

Answers

Option C uses the multiplication equation to express the figure, 0.27 x 9 = 2.43, by basic algebra.

What is basic algebra?

Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.

Now, firstly refer to the image attached.

Since each large square is one whole, we've been provided with two complete squares, where 4 filled rows and 3 empty rows make up the last entire square row.

According to the third square, the answer is 2.43, i.e., the answer is 2.43 after you multiply to find which of 0.27 and 9 truly equals it, by basic algebra.

The figure is therefore represented by the multiplication equation.

0.27 × 9 = 2.43

Hence, Option C uses the multiplication equation to express the figure, 0.27 x 9 = 2.43, by basic algebra.

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For the set {3, 4, 5, 8,x), the
mean, median and mode all
have the same value. What
is the value of x that would
make this true?
Your lunch costs $10.95 at a

Answers

Answer:

x = 5

Step-by-step explanation:

Mode: The most frequently occurring data value.

Median: The middle value when all data values are placed in order of size.

Mean: The sum of all data values divided by the total number of data values.

As the mode is the most frequently occurring data value, x must be 3, 4, 5 or 8.

If the mode is 3 or 4, then the data set will be {3, 3, 4, 5, 8} or {3, 4, 4, 5, 8}.  Therefore, the median would be 4.

If the mode is 5 or 8, then the data set will be {3, 4, 5, 5, 8} or {3, 4, 5, 8, 8}.  Therefore, the median would be 5.

Therefore, the median is 4 or 5.

[tex]\boxed{\sf mean=\dfrac{\textsf{sum of all the numbers}}{\textsf{amount of numbers}}}[/tex]

If x = 4, the mean would be:

[tex]\sf \implies mean=\dfrac{3+4+5+8+4}{5}=\dfrac{24}{5}=4.8[/tex]

If x = 5, the mean would be:

[tex]\sf \implies =\dfrac{3+4+5+8+5}{5}=\dfrac{25}{5}=5[/tex]

Therefore, the only value of x that allows the mean, median and mode to all have the same value is x = 5.

Maggie Travers works in the town's sanitation department. She is on a group health plan provided by the state for municipal employees. The insurance costs $6700 annually. The state pays 40% of the cost. Maggie is paid semi-monthly. How much should she expect to be deducted from her pay each paycheck for health insurance?

Answers

Answer:

$167.50

Step-by-step explanation:

Since the state pays 40% of the health insurance, Maggie will have to pay 100 - 40 = 60% of the insurance amount annually

60% = 0.6 decimal

So Maggie pays 0.6 x 6700 = $4,020

Maggie is paid semi-monthly ie 2 paychecks a month

In a year, there are 12 months so Maggie receives 24 paychecks annually

The total insurance amount of 4020 is split over 24 paychecks

So each paycheck deduction will be 4020/24 = $167.50

the base of a ladder is 10 feet away from the bottom of a building’s wall. if the ladder makes a 35 ◦ angle with the ground, find the length of the ladder to the nearest tenth of a foot.

Answers

The length of the ladder to the nearest tenth of a foot as evaluated by trigonometric ratios is; 12.2ft.

What is the length of the ladder as discussed to the nearest of a foot?

Since the base of the ladder as indicated in the task content is 10 feet away from the bottom of a building's wall, it follows that the set-up in discuss is analogues to a right triangle whose adjacent is 10ft;

Therefore, the length of the ladder which is the hypothenuse can be evaluated as follows;

cos 35° = 10/L

L = 10/cos 35

L = 12.2ft.

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HELP!!!!!! In one serving of trail mix, the ratio of the number of ounces of raisins to the number of ounces of peanuts is 2 to 3. 2). Drag the numbers into the table to show how many ounces of raisins and peanuts are needed for different numbers of serving . tell me the answer you don't have to give me step by step explanation for ratios!!!!!

Answers

The ounces of raisins and peanuts needed for different numbers of serving are :

for 4 serving = 8 raisins and 12 peanuts

for 12 serving = 24 raisins and 36 peanuts

According to the question we have been given that in one number of serving the ratio of number of ounces of raisins to the number of ounces of peanuts is given as :

                               ratio = 2 : 3

We need to find ounces of raisins and peanuts needed for different numbers of serving.

For 4 serving,

              Raisins = 4*2 = 8

              Peanuts = 4*3 = 12

and we see that their ratio = 8/12 = 2/3

For 12 serving,

               Raisins = 12*2 = 24

              Peanuts = 12*3 = 36

and we see that their ratio = 24/36 = 2/3

Hence the ounces of raisins and peanuts needed for different numbers of serving are :

for 4 serving = 8 raisins and 12 peanuts

for 12 serving = 24 raisins and 36 peanuts

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At a local recreation center, there were 36 people working out, 18 people swimming, and 27 were playing basketball. What percentage of people were there to swim? Round your answer to the nearest tenth.

Answers

Answer:

22.2%

Step-by-step explanation:

Total number of people at the recreation center=81

Number of people swimming=18

=18/81 x 100

=22.22222

Round of to the nearest tenth

=22.2%

The polynomial function f(x) has degree 4, a y-intercept of 40, roots of -5 and 4, and a multiplicity 2 root of 1. Enter f(x).

the graph of the equation is shown​

Answers

The polynomial is:

f(x) = -2*(x + 5)*(x - 4)*(x - 1)*(x - 1)

How to get the polynomial function?

Let's assume the leading coefficient is A, we know that the degree is 4, the y-intercept is 40, and we have the roots (-5, 4, 1, 1)

Then the polynomial is:

f(x) = A*(x + 5)*(x - 4)*(x - 1)*(x - 1)

Now we use the fact that the y-intercept is 40, so we have:

f(0) = 40 = A*(0 + 5)*(0 - 4)*(0 - 1)*(0 - 1)

        40 = A*-20

        40/-20 = A = -2

Then the polynomial is:

f(x) = -2*(x + 5)*(x - 4)*(x - 1)*(x - 1)

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midpoint of line segment with endpoints (3.2,2.5) and (1.6,-4.5)

Answers

The midpoint of the line segment with the endpoints is (2.4, -1)

How to determine the midpoint of the line segment with the endpoints?

The endpoints are given as:

(3.2,2.5) and (1.6,-4.5)

The midpoint of the line segment with the endpoints is calculated as

Midpoint = 0.5 * (x1 + x2, y1 + y2)

So, we have:

Midpoint = 0.5 * (3.2 + 1.6, 2.5 - 4.5)

Evaluate the sum

So, we have:

Midpoint = 0.5 * (4.8, -2)

Evaluate the products

So, we have:

Midpoint = (2.4, -1)

Hence, the midpoint of the line segment with the endpoints is (2.4, -1)

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which way the the graph of g(x) = |x + 3| move

Answers

Positive 3 on the inside (with the x) mean is you are moving left or right. In this case, left 3

Pls solve this question step by step​

Answers

Answer:

Step-by-step explanation:

determine if the collection is not well defined and therefore is not a set. the collection of current nfl players

Answers

The collection of current NFL players is well defined and is a set

Step-by-step explanation:

For a collection to be termed as a set, it is necessary that it has distinct objects that are defined.

For example, a set of first 10 natural numbers is

A= [1,2,3,4,5,6,7,8,9,10]

It is well defined and therefore called as set which has first 10 natural numbers as its elements.

Same is the case with the collection of current NFL players.

The collection contains defined number of players. Therefore, this collection is called a set.

The members of the collection or team will be known as the elements of the set.

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Write an absolute value equation that has the solutions x= -10 and x= -5.

Answers

The absolute value equation for the values of x = -10 and x =-5 will be |( x + 10 )( x + 5 )| =0.

According to the question.

We have solutions of a absolute value equation.

As we knoaw that, the non-negative value of a real number x without regard to its sign is known as its absolute value or modulus equation  in mathematics and is indicated by the symbol |x|.

To find the absolute value equation whose solution are x = -10 and x = -5 we need to add some previous steps, which make the equation an absolute value equation.

|(x+10)(x+5)|=0,

x=-10 and x=-5

Hence, the absolute value equation for the values of x = -10 and x =-5 will be |( x + 10 )( x + 5 )| =0.

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phytoremediation is the use of plant growth to purify pollutants from soil, water, or air. suppose that a crop of brake ferns can remove 15 milligrams (mg) per square meter of a particular pollutant from the soil in 20 weeks. after 20 weeks, the ferns are harvested and a new crop is planted. if c represents the number of crops of brake ferns needed to phytoremediate soil contaminated with 170mg per square meter of the pollutant down to healthy levels of 5mg per square meter, which equation best models the situation?

Answers

Equation that best models the situation is where c = 11

What is phytoremediation?

Living plants are used in phytoremediation technologies to purify contaminated soil, air, and water. According to the definition, it involves "the use of green plants, associated microbes, suitable soil amendments, and agronomic techniques to either contain, remove, or render dangerous environmental toxins harmless." The word is a combination of the Greek words phyto (plant) and remedium (remedy) (restoring balance). Despite being appealing due to its low cost, phytoremediation hasn't been shown to significantly address any environmental issues, at least not to the point where contaminated space has been returned. A cost-effective plant-based method of environmental cleanup called phytoremediation is being proposed. It makes use of plants' capacity to concentrate elements and chemicals from the environment and to detoxify different contaminants. The ability of certain plants, known as hyperaccumulators, to bioaccumulate substances is what causes the concentrating effect. The impact of cleanup is very different. Organic contaminants, which can be destroyed, are typically the main targets for phytoremediation while toxic heavy metals cannot. Several field tests supported the viability of employing plants to clean up the environment.

Let the number of crops needed to remove pollution = c

Since one crop can remove 15 mg of pollution per square meter.

Then, "c" number of crops may remove "15 C" mg of pollutant per square meter.

Now, the total amount of pollution per sq. meter Equals 170 mg

Additionally, it is necessary to reduce pollution to 5 mg per square meter.

Consequently, the equation for the scenario is given by,

Pollutants 'c' crops can remove from the total amount of pollution equal the amount of pollution required, or 170-15c=5.

Upon solving the equation, we get, c= 11.

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1) list out the elements of the set "the letters of the word mississippi" 2) list out the elements of the set "months of the year" 3) write a verbal description of the set {3, 6, 9} 4) write a verbal description of the set {a, i, e, o, u} 5) is {1, 3, 5} a subset of the set of odd integers? 6) is {a, b, c} a subset of the set of letters of the alphabe

Answers

1.  The elements of the set are {m, I, s, p}

The elements of the set are the letters in Mississippi. Elements cannot repeat themselves.. So the elements of this set would be {m, I, s, p} since all the other letters are just repetitions.

2. Set of months in a year are

{January,February,March,April,May,June,July,August,September,October,November,December}

3. Verbal Descriptions: It is a verbal description of the set is an English sentence to specify a law that allows us to decide the category of objects to be addressed and to determine whether it is in the set for any particular object.

Since, 3, 6  and 9 are divisible by 3 also less than 10.

4.  Verbal description of the set {a,e,i,o,u} is vowels

In English these five alphabets{a,e,i,o,u} are known as vowels .

since the given set contains only vowels.

5. Yes (1,3,5) is the subset of odd integers.

The set of odd integers is the superset containing elements :-

Let A = { 1 , 3 , 5 , 7 , 9 ,..... ,( 2n + 1 ) }

And,

B = { 1 , 3 , 5 }

B is a subset of A because all elements of B lie in A .

6. Yes (a,b,c) is the subset of letters of the alphabet.

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Underground Floors charges $8 per square foot of wood flooring plus $150 for installation. Woody's Hardwood Flooring charges $6 per square foot plus $200 for installation. At how many square feet of flooring would the two companies charge the same amount for flooring? If you were going to put flooring on your kitchen floor that had an area of 120 square feet, which company would you choose?

Answers

AT 25 SQUARE FEET OF FLOORING

CHOOSE WOODY'S HARDWOOD FLOORING

HOW TO COMPARE RATE OF FLOORING OF TWO COMPANY ?

Typically, the price of engineered hardwood flooring is $6 to $10 per square foot, plus $1.75 to $2.20 per square foot for installation. High-quality hardwood flooring typically costs between $6 and $13 per square foot from customers. Your home renovation project could be very stressful. Expectations, timeframes, budgets, and the cost of flooring contractors all need to be harmonized.

There will always be a time when you want to give up on the renovation project. For some reason, finding someone to install your flooring is usually the first step.

CALCULATION

1 - 8s + 150 = 6s + 200

      2s = 50

         s= 25 sq.feet

2 - 120 * 8 + 150 = 1110

      120 * 6 + 200 = 920

1110 > 920

so choose woody's hardwood flooring.

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in your opinion, which factors will contribute to the continued development of english in the next ten years? check all that apply. Enter the singular form of the noun reyes to complete the sentence.El ____de Espaa es muy agradable. write an expression to show the total number of songs on Iris's playlist after w weeks Simplify:(4x^2 - 2x) - (-5x^2 - 8x) aye could yall help a brother out? physician direction of emergency medical systems (ems) emergency care, advanced life support. assign the cpt code. Factorcompletely 3x^4 30x^3 + 75x^2PLS HELP! The binding of lipophilic messengers, such as steroid hormones, to their receptors triggers. biofilm occurs least frequently: group of answer choices on proximal surfaces. at the gingival margin. around the gingival third of the tooth. on anterior surfaces. defend and criticze bohrs model. why was it reasonable that such a proposed and what evidence was there 4. A wave is described by the following equation: = 10i(40 2).a) Identify the wavenumber and angular frequency and calculate the frequency, period, wavelength, and the speed of the wave. b) Draw the wave for t = 0. assume that a spherical cell, with a diameter of 20 m, has spherical mitochondria, each with a diameter of 0.2 m. if mitochondria occupy 10% of the volume of the cell, how many mitochondria are there? which are generally accepted reasons for studying history? choose all answers that are correct. it teaches us to accept religious doctrines. it teaches us to accept religious doctrines. it leads to agreement on political philosophy. it leads to agreement on political philosophy. it promotes cultural dialogue among different peoples. it promotes cultural dialogue among different peoples. it provides instructive examples. A block of metal has a volume of 14.0in3 and weighs 5.16 lb . What is its density in grams per cubic centimeter?, which early church ""school"" of biblical interpretation favored an allegorical understanding of genesis 1? Transferring small quantities of liquid solutions from one container into another economic theories: group of answer choices are abstractions and therefore of no application to real situations. that are true for individual economic units are never true for the economy as a whole. are useless because they are not based on laboratory experimentation. are generalizations based on a careful observation of facts. Find the vector using parallelogram law [and Pythagoras theorem (h = a + o) h being the hypothenuse, a being the adjacent side and o being the opposite side] i need help with this question asap Use the picture below to solve for the missing information, given PQ = 2x + 8, QR = x + 11, and PR = 5x - 3.Someone please help, BE SPECIFIC on the answers & how you got them, with a explanation. (please fill in all the blanks, thank you) NO TROLLING. please. (For geometry class by the way, we're learning about segments). if a force f acts on an object as that object moves through a displacement s , the work done by that force equals the scalar product of f and s : w