In PQR the measure of R=90, QR=61 feet and RP=90 find the measure of P to the nearest degree.

Answers

Answer 1

Answer:

<P = 56 degrees

Step-by-step explanation:

Given the following

m<R = 90 degrees

QR = 61feet = Adjacent

RP = 90 feet= Opposite

Required

tan<P = opp/adj

Tan<P = 90/61

<P = arc tan (90/61)

<P = arctan 1.4754

<P = 55.9

<P = 56 degrees to the nearest degree


Related Questions

What do we mean by integral?

Answers

In mathematics, an integral is either a number representing the region under a function's graph for a certain interval or a new function, the derivative of which is the original function (indefinite integral).

What is integral in math?

The value obtained after integrating or adding the terms of a function that is divided into an infinite number of terms is generally referred to as an integral value.

Integral is a term derived form the word integration. Integration in calculus is the opposite of differentiation

Integration is used to get the whole by combining combine slices or smaller portions.

Finding areas, volumes, central points, and many other important things may be done with integration. However, it is simplest to begin by calculating the distance between a function and the x-axis.

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What is a graph of a system of linear inequalities?

Answers

The graph of linear inequalities is straight line bounded by solid or dashed region.

why graphing system of linear inequalities is different?

The graphing system of linear inequalities is different from linear eqaution because of  using equal to inequal sign such as ≥ and ≤ or inequal sign < and >.

How to identify the difference?

when we plot the poins on XY axis we get a straight line. The region that satisfy the inequalities of variables are bounded by either solid line or dashed line.

hence, the graphing system of linear variables has shaded portion where straights line is the boundary.

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ONE SHARE OF BEEPCO PREFERRED STOCK PAYS AN

ANNUAL DIVIDEND OF $1. 20. TODAY BEEPCO CLOSED AT

$34. 50 WITH A NET CHANGE OF -$0. 50. WHAT WAS THE

STOCK'S YIELD AT YESTERDAY'S CLOSING PRICE?

O

Answers

The yield of stock at yesterday's closing price is 3.43%.

What is Annual Dividend?

Annual dividend is the profit of the stock which is divided among the shareholders, both common and preferred shareholders annually.

Given,

Annual dividend = $1.20

Today's closing price = $34.50

Net change = -$0.50

Let x be yesterday's closing price.

Net change = Today's closing price - yesterday's closing price

⇒ -0.50 = 34.50 - x

⇒ x = 34.50 + 0.50

⇒ x = 35

Yield = [tex]\frac{Annual dividend}{Price}[/tex] × 100

         = [tex]\frac{1.2}{35}[/tex] × 100

         = 3.4286 % ≈ 3.43 %

Hence the stock's yield at yesterday's closing price of preferred stock is 3.43 %.

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Is the equation a linear equation in two variables √ 2x √ 5y 16?

Answers

Yes , it Is the equation that is a linear equation in two variables √ 2x √ 5y 16

The equation of standard linear equation in two variables can be expressed as

ax + by + c = 0

here,

a, b,c are real numbers.

Power of x and y are 1,So named linear equation.

It must be sure that non of a and b is equal to zero.

If either of a and b is equal to zero,then the equation becomes linear equation in one variable.

Solution of linear equation in two variables:

If only one equation is given,then infinite many solutions are present.

If two equations are given,then three type of solutions are present:

Unique situation

Infinite many solutions

No solution

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What is the slope of the relation y =- 4 5x 4?

Answers

you will find that the slope, or m, is equal to 4/5 and that b is the coordinates 0 and -4

What is the slope of the relation y 4 5x 4?

The first step that needs to be done is to convert the equation into the y=mx+b format where m is the slope and b is the intersection of the y-intercept. Simply solve the equation for Y and you get Y=4/5X-4. From this, you will find that the slope, or m, is equal to 4/5 and that b is the coordinates 0 and -4

if the slopes are:

L1: slope 3

L2: slope -3

L3: slope -1/3

So now multiply the slopes of each pair of lines:

L1 and L2: 3 * (-3) = - 9 => No, they are not perpendicular

L2 and L3: (-3) * (-1/3) = 1 => No, they are not perpendicular

L1 and L3: (3) *  (-1/3) = -1 => Yes, they are penpendicular.

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What is the solution of the given equations 3x y 10 xy 2 *?

Answers

The solution of the given system of equations 3x + y = 10 ,  x - y = 2 is equal to x = 3 and y = 1.

As given in the question,

Given system of equations are :

3x + y = 10      ____(1)

x - y = 2    _____(2)

Add equation (1) and  (2) to eliminate y and get the value of x we have,

3x + y = 10

x - y = 2

4x      = 12

⇒x = 12 / 4

⇒ x = 3

Substitute value of x = 3 in equation (1) to get the value of y for the given equation,

3(3) + y = 10

⇒ 9 + y = 10

⇒ y = 10 - 9

⇒ y = 1

Therefore, the solution of the given system of equations is equal to x = 3 and y =1.

The above question is incomplete, the complete question is:

What is the solution of the system of equations 3x + y = 10 ,  x - y = 2?

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What is the mode of 2 6 5 3 0 3 4 3 2 4 5 2 4?

Answers

The given values are 2,6,5,3,0,3,4,3,2,4,5,2,4

There are the following values as shown in the given data.

To find the mode first we have to assign each value that how many times it appears.

1. 2-3 the number 2 appears only Three times.

2. 6-1 the number 6 appears one time.

3. 5-2 the number 5 appears only two times.

4. 3-3 the number 3 appears only three times.

5. 0-1 the number 1 appears only one time.

6. 4-3 the number 4 appears only Three times.

So, the mode of the given data is 4,3,2 as it appears the most number of times.

If a given set of values with two modes is bimodal, a given set of numbers with three modes is trimodal, and any set of numbers with more than one mode is multimodal.

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please helpp with my math question

Answers

Answer:

11.1

Step-by-step explanation:

sin 46 · x = 8

0.71934 x = 8

x  = 8/0.71934

x = 11.121306

What is the 4 types of arithmetic?

Answers

Addition, subtraction, multiplication and division are four type of arithmetic

Mention other arithmetic.

Beside mentioned above exponential and modulus operations are also arithmetic

Why it is called arithmetic?

The Greek noun arithmos, which means "number," is where the word arithmetic ultimately comes from. Along the way, it also appeared in Latin, Anglo-French, and Middle English. Even elementary mathematics has a rich vocabulary. Addition, subtraction, multiplication, and division are the four fundamental arithmetic operations.

So addition,multiplication, subtraction and division are 4 types of arithmetic

2+2=4

2*2=4

2/2=1

2-2=0

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How do you prove a triangle is SAS?

Answers

If the two sides on one triangle are congruent to the corresponding two sides of the other triangle and the included angles are congruent in both triangles, then the triangles are congruent by SAS (side-angle-side).

Congruent triangles: Two triangles are said to be congruent if they have the same angle measurements and have the same side lengths.Included angle: An included angle is the angle between two given sides.

SAS theorem of congruence: The SAS (side-angle-side) theorem of congruence states that if two sides and their included angle in one triangle are exactly equal to the corresponding two sides and their included angle in another triangle, then the two triangles are congruent.

Use the SAS theorem of congruence to determine if the triangles in the figure below are congruent.

From fig(1) is congruent to fig(2).

For each triangle, find two labeled sides with labeled included angle (side-angle-side in order).

For ΔABC, we have:

|AC|=10,m∠A=46∘, |AB|=7

For ΔXYZ, we have:

|XZ|=10,m∠Z=46∘, |YZ|=7

Compare the results from step. If the two sides on one triangle are congruent to the corresponding two sides of the other triangle and the included angles are congruent in both triangles, then the triangles are congruent by SAS.

So, |AC|=|XZ|, m∠A=m∠Z, |AB|=|YZ| the triangles are congruent by SAS.

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What is the formula for area and volume?

Answers

Area: The total space covered by the two-dimensional surface of an object, or a flat shape is called an area.

Many different area formulas are available to get the area of various two-dimensional shapes. We can also get a shape's area by counting the number of unit squares that cover the whole surface of the object.

This method helps us to learn and make out the concept of area.

The unit of area is forever measured in square units like square centimeters, square meters, square inches, and so on.

Volume: The space enclosed within the object or the space covered by any three-dimensional solid object is known as volume.

To find the volume, we divide the occupied space into equal cubical units and calculate the total occupied cubical units, The unit of volume can be in a cubic centimeter, cubic meter, cubic inches, and so on.

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a gardener bought 5 geraniums and 3 lilies from a nursery that had 14 geraniums and 12 lilies. determine how many choices the gardener has

Answers

The number of choices the gardener has is 440440

What is a combination?

It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.

The formula for combination is [tex]^nC_r[/tex] = n! / r!(n - r)1

We have,

Number of geranium = 14

Number of lilies = 12

Number of geranium bought = 5

Number of lilies bought = 3

The number of choices.

= [tex]^{14}C_5 \times ^{12}C_3[/tex]

= (14 x 13 x 12 x 11 x 10)/(5 x 4 x 3 x 2) x (12 x 11 x 10)/(3 x 2)

= 14 x 13 x 11 x 2 x 11 x 10

= 440440

Thus,

The number of choices is 440440.

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Working together, Aaron and Rosa can mow the lawn around the local library in 3 hours. Working alone, Aaron can mow the lawn in 5 hours. Write and solve an equation to determine how long it would take Rosa to mow the lawn by herself.

Answers

Answer:

Below

Step-by-step explanation:

1/a + 1/r = 1/3        a = aaron rate   r = rosa rate    3 = rate of both

1/5 + 1/r = 1/3

1/r = 2/15

r = 15/2 = 7.5 hr for rosa alone

Ayuda pls con la tabla descripción y la ecuación pls

Answers

Answer:

Step-by-step explanation:

What is the formula for volume of cylinder if r radius H height?

Answers

Volume of Cylinder:

V=π•r^2•h

V=volume

r=radius

h=height

Given m|n, find the value of x.
(x+27)°
(2x-7)⁰
m

Answers

The value of x is x=34.

What is angles?

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 on the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

The angles are corresponding angles so they are equal if m is parallel to n

x+27 = 2x -7

Subtract x from each side

x+27 -x =2x-x-7

27 = x-7

Add 7 to each side

27+7 = x-7+7

34 =x

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I WILL MARK BRAINLIEST IF CORRECT!!

Home values are expected to decreased by 3% per year. Hadlee Recently purchased a home for $200,000. Which of the following equations can be used to represent the value of the home x years after the purchase?

A) f(x) = 200000(1.03)^x
B) f(x) = 200000(0.97)^c
C) f(x) = 3(1.03)^x
D) f(x) =3(0.97)^x

Answers

Answer:

B

Step-by-step explanation

Multiplying by 0.97 will decrease $200,000 to $194,000.

^c is x years after the purchase, so having (0.97)^c will make the $200,000 value decrease more and more.

The answer is B I done the assignment last week

ellen's greenhouse is in the shape of a hemisphere. the diameter of the floor is 18 feet. what is the approximate volume of the greenhouse? ellen's greenhouse is in the shape of a hemisphere. the diameter of the floor is 18 feet. what is the approximate volume of the greenhouse? 1,527 ft3 3,054 ft3 12,215 ft3 24,429 ft3

Answers

The approximate volume of the greenhouse will be 1,527 ft³.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Ellen's greenhouse is in the shape of a hemisphere.

And, The diameter of the floor is 18 feet.

Now,

Since, Ellen's greenhouse is in the shape of a hemisphere.

We know that;

⇒ The volume of Hemisphere = (2/3) πr³

Here, The diameter of the floor is 18 feet.

Hence, The radius of the floor = 18/2

                                               = 9 feet

So, We get;

⇒ The volume of Hemisphere = (2/3) πr³

⇒ The volume of Hemisphere = (2/3) × 3.14 × 9³

                                               = 1,527 ft³

Thus, The approximate volume of the greenhouse =  1,527 ft³

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It costs $$3535 per hour to rent a boat at the lake. You also need to pay a $$2525 fee for safety equipment. You have $$200200. How long can you rent the boat?.

Answers

you can rent the boat 55.92 hour if It costs $$3535 per hour to rent a boat at the lake. You also need to pay a $$2525 fee for safety equipment.

What is an example of an equation?

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

It costs $$3535 per hour to rent a boat at the lake.

You also need to pay a $$2525 fee for safety equipment.

You have $$200200.

safety fee only once

so 200200-2525 = 197675

if one hour fees is 3535

then 197675/3535

= 55.92

hence he rent boat at the lake 55.92 hour

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consumer reports rated airlines and found that 71% of the flights involved in the study arrived on time (i.e., within 15 minutes of scheduled arrival time). assuming that the on-time arrival rate is representative of the entire commercial airline industry, consider a random sample of 213 flights. (round your answers to two decimal places.) what is the expected number that will arrive on time? what is the standard deviation of this distribution?

Answers

The expected number that will arrive on time is; 151.23

The standard deviation of this distribution is; 6.62

How to find the mean and standard deviation?

We are given;

Percentage of the flights involved in the study arrived on time; p = 71% = 0.71

Sample size; n = 213

Now, the formula for the mean which is the expected number that will arrive on time is;

μ = np

μ = 213 * 0.71

μ = 151.23

The formula for the standard deviation of the distribution is;

σ = √(np(1 - p))

σ = √(213*0.71(1 - 0.71))

σ = 6.62

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What is the formula for solving a triangle?

Answers

The law of cosines generalizes the Pythagorean formula to all triangles. It says that c^2, the square of one side of the triangle, is equal to a^2 + b^2, the sum of the squares of the the other two sides, minus 2ab cos C, twice their product times the cosine of the opposite angle. When the angle C is right, it becomes the Pythagorean formula.

c^2=a^2 + b^2 - 2abcosC

Pythagorean formula

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

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What is the value of X if X 35 :: 48 60?

Answers

Answer:

Hence, x=28.

Step-by-step explanation:

Select all the true statements. a. if vertical angles are congruent, then two lines cut by a transversal are parallel. b. if two parallel lines are cut by a transversal, then corresponding angles are congruent. c. if two parallel lines are cut by a transversal, then alternate interior angles are congruent. d. points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints. e. points on a perpendicular bisector of a line segment are never equidistant from the segment’s endpoints.

Answers

b. if two parallel lines are cut by a transversal, then corresponding angles are congruent.

c. if two parallel lines are cut by a transversal, then alternate interior angles are congruent.

d. points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints.

Each of the following tables defines a relationship between an input x and an output y. Which of the relationships represent functions? table a x -8 -3 0 6 y 24 4 9 72 table b x 9 15 24 38 y -14 -16 53 29 table c x 15 24 24 100 y -16 53 29 7 table d x -8 6 0 6 y 24 4 9 72 a. Table a and table c b. Table a and table b c. Table b and table c d. Table c and table d.

Answers

Table a and table c defines a relationship between an input x and an output y of function.

A function is a set of ordered pairs (x, y) in which each value of x corresponds to exactly one value of y. In other words, for a given value of x, there should be only one corresponding value of y.

Looking at the tables, we can see that Table a and Table d both satisfy this condition. In both tables, for each value of x, there is only one corresponding value of y. Therefore, Tables a and d represent functions.

Table b and Table c do not satisfy this condition, because there are multiple values of y for some of the values of x.

For example, in Table b, the value of x is 24 for both (24, 53) and (24, 29). Similarly, in Table c, the value of x is 24 for both (24, 53) and (24, 29). Therefore, Tables b and c do not represent functions.

Therefore table a and table c represents function of input x and output y.

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A function is a collection of ordered pairs (x, y) where each x-value is matched up with exactly one y-value. In other words, there should only be one value of y that corresponds to a certain value of x.

We can see from the tables that Tables a and Table d both meet this requirement. In both tables, there is only one value of y that corresponds to each value of x. Tables a and d so depict functions.

Because there are many possibilities of y for some of the values of x, Tables b and c do not meet this requirement.

For instance, the value of x in Table b is 24 for both (24, 53) and (24, 29). The value of x is 24 in Table c for both (24, 53) and (24, 29). Tables b and c do not, therefore, represent functions.

Tables a and c therefore show the function of input x and output y.

What is a set in UK school?

Answers

Sets are a collection of well-defined objects or elements. A set is represented by a capital letter symbol and the number of elements in the finite set is represented as the cardinal number of a set in a curly bracket {…}.

Now, According to the question :

Sets are a collection of well-defined objects or elements. A set is represented by a capital letter symbol and the number of elements in the finite set is represented as the cardinal number of a set in a curly bracket {…}. For example, set A is a collection of all the natural numbers, such as A = {1,2,3,4,5,6,7,8,…..∞}. Also, check sets here.

Sets can be represented in three forms:

1. Roster Form: Example- Set of even numbers less than 8={2,4,6}

2. Statement Form: Example-A = {Set of Odd numbers less than 9}

3. Set Builder Form: Example: A = {x: x=2n, n ∈ N and 1 ≤ n ≤ 4}

What are the types of Sets?

A set has many types, such as;

1. Empty Set or Null set

2. Finite Set

3. Infinite Set

4. Equal Set

5. Subsets

6. Universal Set

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What is zeros of polynomial 2x² 7x 4?

Answers

x=1/2 and x=-4 are zeros of the polynomial 2x²+7x-4=0.

What is Polynomial?

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

The given polynomial is 2x²+7x-4=0

To find the zero of 2x²+7x-4=0 we need to find the roots of polynomial.

2x²+7x-4=0

2x²+8x-x-4=0

Take 2x as common from first two terms

2x(x+4)-(x+4)=0

(2x-1)(x+4)=0

2x-1=0

2x=1

x=1/2 and x=-4 are zeros.

Hence, x=1/2 and x=-4 are zeros of the polynomial 2x²+7x-4=0.

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What is the SSS theorem?

Answers

If three sides of one triangle are congruent to three sides of a triangle then the triangles are congruent.

How can you prove that two triangles are similar in a circle?

Answers

To prove two triangles are similar in the given circles need to prove that intercepted arc formed by the pair of angles should be equal or same.

As given in the question,

Two triangles formed in the circle are similar required following steps to prove it correct:

Pairs of angles should have the same or equal intercepted arc in the given circle.Angle formed by same or equal intercepted arc are congruent to each other .Using AA theorem of similarity we can say two triangles formed in the circle are similar if and only if they have same intercepted arc.

Therefore, to prove the two triangles are similar in the circle need to prove they have same intercepted arc formed by the pair of angles.

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Why is it called a median?

Answers

Both median and mean originate from the Latin medianus, meaning in the middle, the former by way of the Anglo-French meiene. Median is the middle number in a sorted list of numbers. To determine the median value in a sequence of numbers, the numbers must first be sorted, or arranged, in value order from lowest to highest or highest to lowest.  

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value. The basic feature of the median in describing data compared to the mean (often simply described as the "average") is that it is not skewed by a small proportion of extremely large or small values, and therefore provides a better representation of a "typical" value. Median income, for example, may be a better way to suggest what a "typical" income is, because income distribution can be very skewed.

The median is of central importance in robust statistics, as it is the most resistant statistic, having a breakdown point of 50%: so long as no more than half the data are contaminated, the median is not an arbitrarily large or small result.

This is why it is called a median.

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y shopping a survey of u.s. adults found that of people said that they would get no work done on cyber monday since they would spend all day shopping online. find the confidence interval of the true proportion. round intermediate answers to at least five decimal places. round your final answers to at least three decimal places.

Answers

The required real proportion's 95% confidence interval is (0.301; 0.359).

What is a confidence interval?

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time.

Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.

So, the sample size is 1000.

Phat = 0.33

(1 - phat) = 1 - 0.33 = 0.67

Zcritical = 1.96 at 95%

The confidence range is as follows:

Phat ± margin of error

Margin of Error = Zcritical * sqrt[(phat(1 - phat)) /n]

Margin of Error = 1.96 * sqrt[(0.33 * 0.67) / 1000]

Margin of Error = 1.96 * 0.0148694

Margin of Error = 0.0291440

Lower boundary = (0.33 - 0.0291440) = 0.300856

Upper boundary = (0.33 + 0.0291440) = 0.359144

Therefore, the required real proportion's 95% confidence interval is (0.301; 0.359).

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Correct question:
Cyber Monday Shopping A survey of 1000 U.S. adults found that 33% of people said that they would get no work done on Cyber Monday since they would spend all day shopping online. Find the 95% confidence interval of the true proportion.

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Did Schenck win or lose his case? What do you call a sentence that reveals the main or central idea of the paragraph? which country suffered the greatest number of military casualties in world war ii? How do you write a prologue example? Mrs. Jain went for lunch with her friends at a restaurant which offers her a 20% discount A great strength of correlational research is the O cause-effect sequencing of events. O ambiguity of the results. O ability to extract the influence of confounded variables. O fact that it occurs in real-world settings. What is the area of a right triangle with a height of seven and three fourths yards and a base of 20 yards?A: 140 yds2B: 155 yds2C: thirty eight and three fourths yds2D: seventy seven and one half yds2 the figure(figure 1) is a graph of ex. the potential at the origin is -100 v . 1. Who do you think makes a better lawmaker: a "professional politician" or a "citizen legislator"? 2. Why did congress become dominated by career legislators after the civil war How did the Catholic Church feel about slavery? Of the following, which medium is the richest? A) bulletin board. B) telephone. C) e-mail. D) letters. E) video conferencing. E) video conferencing. 36) The table below shows the growth rate of a vine over several weeks:Week136911Length (inches)5691114What is the average rate of change from weeks 3 to week 9?A) 0.83B) 0.9C) 1.2D) 1.1 In this little assignment you are given a string of space separated numbers, and have to return the highest and lowest number in C++.ExampleshighAndLow("1 2 3 4 5"); // return "5 1"highAndLow("1 2 -3 4 5"); // return "5 -3"highAndLow("1 9 3 4 -5"); // return "9 -5"NotesAll numbers are valid Int32, no need to validate them.There will always be at least one number in the input string.Output string must be two numbers separated by a single space, and highest number is first. balance the reaction equation with the lowest set of whole number coefficients. what is the coefficient (d) of h2o? a c4h10 b o2 ---> c co2 d h2o Find the probability of no more than 2successes in 5 trials of a binomialexperiment in which the probability ofsuccess in any one trial is 18%. Por eso, voy a otro saln de belleza que est ______ (abrir) todos los das. Executive reports are summarized from ___________ reports.ManagementTacticalSupervisorStrategic The National Center for Education Statistics keeps careful records of the number of degrees awarded in the United states. Let f(t) model the number of PhDs awarded to men in terms of the number of years after 1980, t. Let g(t) model the number of PhDs awarded to women in terms of the number of years after 1980, t. f(t) e(t) Let h(t) model the ratio of the number of PhDs awarded to men compared to women in the U.S. in terms of, t. That is h(t) Given that h(t) = 2.8 for some value of t, which of the following statements is true? O For that value of t, women in the U.S. earned 2.8 more PhDs than men O For that value of t, men in the U.S. earned more PhDs than women. O For that value of t, women in the U.S. earned 2.8 times as many PhDs as men. O For that value of t, men in the U.S. earned 2.8 more PhDs than women. O For that value of t, women in the U.S. earned 2.8 times as many PhDs as men. What are the 12 principles of Agile Manifesto? on december 31, 2024, a company had balances in accounts receivable and allowance for uncollectible accounts of $65,000 and $950, respectively. during 2025, the company wrote off $2,050 in accounts receivable and determined that there should be an allowance for uncollectible accounts of $5,450 at december 31, 2025. bad debt expense for 2025 would be: