Please help me solve this problem

Answer:

d² + df + dg + dh = d(d + f + g + h)

Step-by-step explanation:

Lower rectangle:

length = f + d + h

width = d

Upper rectangle:

length: d

width: g

total area:

d(f + d + h) + dg =

= df + d² + dh + dg

= d² + df + dg + dh

= d(d + f + g + h)

Reason:

The equation is in the format of

y = a|x - h| + k

where in this case,

The vertex is located at (h,k) = (5,-1)

The axis of symmetry is x = 5 since it is a vertical line that passes through the vertex.

The graph is shown below. I used GeoGebra, but you can use a TI83, TI84, Desmos, or anything similar.

The graph for the given piecewise function is as provided in image.

What is piecewise function?

A piecewise function is a function f(x) which has different definitions in different intervals of x. The graph of a piecewise function has different pieces corresponding to each of its definitions. The absolute value function is a very good example of a piecewise function. Let us see why is it called so. We know that an absolute value function is f(x) = |x| and it is defined as:

f(x)=(x if x≥0 ,

      -x  if x><0)

We should read this piecewise function as

f(x) is equal to x when x is greater than or equal to 0 and

f(x) is equal to -x when x is lesser than 0.

Given piecewise function

f(x) {3          if x<_-3

      2x + 1   if -3 < x < 4

      -22       if  x > 4

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Answer:

The simplest form of √800 is  4√5

Step-by-step explanation:

When finding the simplest form of a square root, we want to express the square root as a product of a whole number and a square root of a prime number. This is because the square root of a prime number cannot be simplified any further, while the square root of a composite number (a number that is not prime) can be further simplified.

In this case, we start by seeing that 800 can be factored as 20*40. To simplify the square root, we need to find the square root of each of these factors. The square root of 20 is not a whole number, but the square root of 40 is √40 i.e. 2√10, which can be further simplified as 2*2√5.

So, √800 = √(2040) = √20 * √40 = 2√10 = 2*2√5 = 4√5

As 4 is a whole number and √5 can't be simplified further, this is the simplest form of the square root of 800.

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Although part of your question is missing, you might be referring to this question "What is the simplest form of √ 800 and explain why?"

Answer: d

Step-by-step explanation:

To solve this question, you have two methods.

One is graphing the inequalities and finding the points that match them, and the other is plugging the values of the points into the inequalities and checking to see if it is true or false.

I chose the latter method for convenience's sake.

The inequalities show that

y<-2x+10

y<1/2x-2

Since this is a multiple-choice question, we only need to plug in the values of the choices. For a student's response question, you'll need to plug in all the points if you use this method.

Let's plug in I.

I is located at (9,3).

So if you plug in the values,

3<-2*9+10 is false.

So a is false.

Next, B.

B is located at (4,7).

7<-8+10 is false.

So b is false.

Next, A.

A is located at (-5,4)

4<10+10 is true.

4<1.2*(-5)-2 is false.

So the answer is d.

Although there are 9 different ways in which Dwight can divide his time giving lessons in both instruments, but the most balanced work division is 5 hour piano lessons and 5 hour guitar lessons in a week.

What is work division?

The division of labour is the arrangement of tasks given to and carried out by a team of employees or an individual in an effort to boost productivity. Division of work, commonly referred to as division of labour, is the process of breaking down a job into a variety of smaller tasks that together make up the larger activity.

Dwight offers one-hour piano lessons and one-hour guitar lessons.

The number of hours Dwight works per week = 10 hours

There are many possibilities in which Dwight can divide his work.

Case 1: Dwight can teach 1 hour piano lessons and 9 hour guitar lessons in a week.

Case 2: Dwight can teach 2 hour piano lessons and 8 hour guitar lessons in a week.

Case 3: Dwight can teach 3 hour piano lessons and 7 hour guitar lessons in a week.

Case 4: Dwight can teach 4 hour piano lessons and 6 hour guitar lessons in a week.

Case 5: Dwight can teach 5 hour piano lessons and 5 hour guitar lessons in a week.

Case 6: Dwight can teach 6 hour piano lessons and 4 hour guitar lessons in a week.

Case 7: Dwight can teach 7 hour piano lessons and 3 hour guitar lessons in a week.

Case 8: Dwight can teach 8 hour piano lessons and 2 hour guitar lessons in a week.

Case 9: Dwight can teach 9 hour piano lessons and 1 hour guitar lessons in a week.

Therefore, there are 9 different ways in which Dwight can teach both the lessons.

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Tommy is right about the fact that an exact value is not possible because the number is irrational but the correct approximate length is 18.30.

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

Given, The base of a right-angled triangle is 10cm and its height is 15cm.

We know, hypotenuse² = base² = height².

Therefore,  hypotenuse² = 10² + 15².

hypotenuse² = 100 + 225.

hypotenuse = √335.

hypotenuse = 18.30.

But Tommy gave his answer as 18.03×10 which is equal to 180.3.

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The requried standard deviation of the given data set is σ = 1.1005.

The statistic is the study of mathematics that deals with relations between comprehensive data.

Here,
For the given data set, 6.8, 9.1, 8.7, 7.5, 8.2, 5.4, 6.5, 8.5, 7.3, 6.6, 5.9, 7.3, 9.3, 7.5, 7.8

Count, N: 15

Sum, Σx: 112.4

Mean, μ: 7.4933

To determine the standard davaition σ,
[tex]\sigma = \sqrt{1/N \sum_{i=1}^N(x_i-\mu)^2}[/tex]

Substitute the value in the above equation,
σ = √[[(6.8 - 7.493)² + ... + (7.8 - 7.493)² ]/15]
σ = 1.1005

Thus, the requried standard deviation of the given data set is σ = 1.1005.

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Answer:

OOOOOOOOOFFFFFFFFFFFFFFFFFFFFFFFFFFFF

Step-by-step explanation:

Answer: Same. eeeeeeeeeeeeeeeeeeeeeeeeek

Answer: see below

Step-by-step explanation:

To do this, we need to get the fractions to have a common denominator. The closest multiple of both 8 and 10 is 40. Whatever number gets both denominators to forty will need to be multiplied by both the numerator and the denominator

9/10 * 4/4 = 36/40

7/8 * 5/5 = 35/40

Now that both denominators are 40, we can compare the numerators to see which fraction is the largest. Since 36 is greater than 35, 9/10 > 7/8. I hope this helps!

In the given options, Option A is different from the rest three options.

It is a type of polygon, which has 5 equal sides and all the interior angles are of  108°.

Given that,

Four statements about interior angles of pentagon

1. What is the measure of an interior angle of a regular pentagon

2. What is the sum of the interior angle measures of a convex pentagon

3. What is the sum of the interior angle measures of a regular pentagon

4. What is the sum of the interior angle measures of a concave pentagon

It can be seen that in 2, 3, 4 asking sum of interior angles

And, in first option asking individual value of interior angle

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Answer: 1331

Step-by-step explanation:

11^3 = 121 * 11 = 1331

The value of x in the given similar triangles is 10.

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

Given are two similar triangles, Δ BCF ~ Δ BDE

We know that, in similar triangles, the ratio of the corresponding sides are in the same proportion,

Therefore,

BC / BD = CF / DE = BF / BE

(56 + 5x - 8) / 56 = (52+39) / 52

(48 + 5x) / 14 = 91 / 13

(48 + 5x) / 14 = 7

48 + 5x = 98

5x = 50

x = 10

Hence, the value for x is 10.

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The value of   A+B+C+D+E+F+G+H = 5+11+1+1+3+1+1+0 that is equals to 23.

What is Algebraic expression ?

Algebraic expression can be defined as the combination of variables and constants.

Given ,

Each of the letters in the multiplication sum below represents a digit: 7A times B5

C90 DE20 = F5GH

Than we have to find

the value of A+B+C+D+E+F+G+H =

From first expression ,

7A times B5 = C90

From this we can say that A = 5 as

last digit in C90 is 0

so,

75 + B5 = C90

if C=1

75+B5 = 190

B5 = 190 -  75

B5 = 115

B = 11

And

C90 + DEF20 = F5GH

190 + DEF20 = F5GH

H = 0

G = 1

F = D

that is F=1

D = 1

E = 3

So, the value of   A+B+C+D+E+F+G+H = 5+11+1+1+3+1+1+0 that is equals to 23.

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The relation illustrates the connection between input and output. On the other hand, a function is a relation that produces one OUTPUT for every given INPUT.

A relationship is not a function if each input does not have a distinct output. For a relation to be a function, each input must have a distinct output, and the order of the set's items must be paired in a unique way or the elements of sets must be mapped in a unique way.

Functions: A function is a relation that describes a set of inputs and a set of outputs. In operation, Exactly one output from each input in set X exists in set Y. Not all functions are relations, despite the fact that all relations are functions.

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The sale price of the sweater now is, $39

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

Baylee found the sweater she had been looking for on sale for 35% off.

And, The original price of the sweater was $60.

Here, WE have;

Original price of sweater = $60

Sale = 35%

Hence, The sale price is,

⇒ Sale price = $60 - 35% of 60

                    = $60 - 35/100 × 60

                    = $60 - $21

                    = $39

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Answer: The height would be 4cm², and the base would be 5cm²

                        Height = 4 cm²         Base = 5 cm²

Step-by-step explanation:

Area of triangle = (1/2) Height x Base

 10 = (1/2) x W · H

Substitute

  (1/2) 4 · 5

Solve

  2 · 5 = 10

y <= - 3x - 1 y <= - x - 4 is the graph represents system of inequalities.

y <= - 3x - 1 y <= - x - 4 is the graph represents system of inequalities.

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Answer:

3 1/5

Step-by-step explanation:

Converting improper fractions into mixed numbers

What is 16/5 as a mixed number? Divide the numerator by the denominator (16 ÷ 5 = 3 R 1). Your answer is the whole number and your remainder becomes the numerator of the fraction next to the whole number, so your answer is 3 1/5.

Have a good day!:)

The clips are 28% blue and 72% purple.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Ashley had 25 hair clips.

7 of them were blue.

Let n be the percentage of blue clips.

7 = n x 25/100

n = 700/25

n = 28%.

And the rest were purple.

That means,

100 - 28 = 78%.

Therefore, 28% is blue, and 72% is purple.

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The values and ideals presented in the media, the average retirement age is between 62 and 65. The average retirement age is 64 for a work-life of about 42 years,

Values are the benchmarks or ideals by which we judge the acts, traits, possessions, or circumstances of others. Values that are embraced by many include those of beauty, honesty, justice, peace, and charity.

Not anywhere close to 48 or 52 years. And less than 10% of Social Security recipients get the maximum benefit by claiming at 70, and those that do are the highest-income individuals.

Therefore, By the current workforce is scheduled to retire during the next two months retirement age is 64 for a work-life of about 42 years,

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The value of the the integer is 1 or 5

An integer is a whole number that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, . 09, and 5,643.1

Let's represent the integer by x, therefore

six times an integer minus 5 equals the square of the integer can be put into equation as:

6x-5 = x²

x² - 6x +5 = 0

x²-5x - x + 5 = 0

(x²-5x)(-x+5) = 0

x(x-5) - 1 ( x -5) = 0

(x-1)(x-5) = 0

therefore x-1 = 0 or x-5 = 0

x = 1 or 5

therefore the value of the integer can either be 5 or 1

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To compare the steepness of the slopes of different lines, we need to compare the absolute value of the coefficient of the x-term (the number in front of x) in each equation. A larger coefficient of x means a steeper slope, while a smaller coefficient of x means a less steep slope.

y = - 4 3 ⁢ x + 2 3

The coefficient of x in this equation is - 4 3, this function has a steeper slope than the function y = - 3 2 ⁢ x + 1 2

y = - 3 2 ⁢ x + 1 2

The coefficient of x in this equation is - 3 2, this function has a steeper slope than the function y = - 2 ⁢ x + 7 3

y = - 2 ⁢ x + 7 3

The coefficient of x in this equation is - 2, this function has a steeper slope than the function y = - 7 4 ⁢ x + 3 2

y = - 7 4 ⁢ x + 3 2

The coefficient of x in this equation is - 7 4, this function has a steeper slope than the function y = - 8 7 ⁢ x + 4 7

y = - 8 7 ⁢ x + 4 7

The coefficient of x in this equation is - 8 7, this function has the least steep slope of all the functions.

So the order of the functions from steepest to least steep is: y = - 4 3 ⁢ x + 2 3 , y = - 3 2 ⁢ x + 1 2, y = - 2 ⁢ x + 7 3, y = - 7 4 ⁢ x + 3 2 , y = - 8 7 ⁢ x + 4 7

On solving the provided question we can say that by percentage he need to scores 18 point in each

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

Eden needs an average of =  92%

. Each quiz is worth 20 points

90% 0f 20 = 90/100 * 20 = 18 points

he need to scores 18 point in each

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The equation that represents the total rental cost for 'x' number of hours will be y = 3.25x.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let 'x' be the number of hours and 'y' be the total rental cost. Then the equation is given as,

y = 3.25 x

The equation that represents the total rental cost for 'x' number of hours will be y = 3.25x.

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The third angle is 82 degrees.

What is an isosceles triangle?

An isosceles triangle in geometry is a triangle with two equal-length sides. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.

Here, we have

Given:

Two base angles are 49 degrees.

and the third angle is x.

Using Angle Sum property

x + 49 + 49 = 180

x + 98 = 180

x = 180 - 98

x = 82

Hence, the third angle is 82 degrees.

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Answer:

(5,1/2)

Step-by-step explanation:

Answer:

6500

Step-by-step explanation:

1.8 hours is 6,500 seconds

The graph given is a representation of a two-dimensional coordinate plane, with points A, B, C, D, and E. The question is asking which statements about line n are true. Line n is the line connecting points A and C.

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(Complete Question: Use the graph below to answer the question. Which statements about line n are true?n Select all that apply.

Ansswer choices:

a) The slope of line n is equal to BC/AC.

b) The slope of line n is equal to AC/BC.

C) The slope of line n is equal to BC/DE.

d) The slope of line n is equal to DE/AE.

e) The slope of line n is equal to AE/DE.

f) The slope of line n is equal to AC/AE.)