Verify each set

W ---------> are closed under addition

F ------> are closed under addition

I ------> are closed under addition

N ----> are closed under addition

Q ----> are closed under addition

Transform the quadratic equation into a perfect square equation by completing the square.x² + 4x +2=0

**Solution:**

**Given:**

Please help me I beg you I love you!

1) [tex]\overline{AB} \cong \overline{CD}[/tex] (given)

2) [tex]\angle BAC \cong \angle ACD[/tex] (given)

3) [tex]\overline{AC} \cong \overline{AC}[/tex] (reflexive property)

[tex]\triangle ABC \cong \triangle CDA[/tex] (SAS)

find the value of the misssing variables im pretty sure the answer is either a or c

the sum of the internal angles of the 4-sided polygon is 360, therefore

[tex]\begin{gathered} m\angle D+m\angle G+m\angle F+m\angle E=360 \\ m\angle D+m\angle G+64+119=360 \\ m\angle D+m\angle G+183=360 \\ m\angle D+m\angle G+183-183=360-183 \\ m\angle D+m\angle G=177 \end{gathered}[/tex]then

[tex]m\angle D=y=116[/tex][tex]m\angle G=z=61[/tex]**answer**: a. y = 116° and z = 61°

how do I do this. . I don't know ho2

A linear equation has a constant **slope**.

For every step increase in x, there needs to be another step increase in y.

From the table,

x decreases by 2 units

y *doesn't decrease* by the same unit

So, this **cannot be linear relationship**.

To see whether it is quadratic or exponential, we graph the (x,y) points and see the general shape of the curve by connecting the points in a smooth curve.

The graph is shown below:

From seeing the graph, it is quite evident that the tabular relationship represents a **quadratic function**.

Thus, the **correct answer** is:

solve this literal equation for h A=bh

we have the equation

A=bh

solve for h

that means -----> isolate the variable h

so

step 1

Divide both sides by b

A/b=bh/b

simplify

A/b=h

rewrite

h=A/bHELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answer:

It would be, Yes, No, Yes, Yes.

Hope this helps!

Line segments AB and CD arecongruent. Their coordinatesare AC-11, -3), B(-2,5), C(7,1)and D(x, 9). Find the value of x.

We have the following points:

A(-11, -3) and B(-2,5)

The distance between AB is:

[tex]\left(|-11--2|,|-3-5|\right)=(9,8)[/tex]C(7,1) and D(x, 9)

[tex]\begin{gathered} 7-x=9 \\ x=-9+7 \\ x=-2 \end{gathered}[/tex]the value of x is -2

What’s the domain of F(x)=|x|, g(x)=x+9 find domain for f o g

The **domain** of the** functions **F(x)=|x|, g(x)=x+9, f o g is x ∈ R the functions exist for all **real **numbers.

What is a function?

It is defined as a** special **type of **relationship**, and they have a predefined **domain** and **range** according to the **function** every value in the **domain** is related to exactly one value in the **range**.

The function f(x):

f(x) = |x|

The **domain **of the **function **is:

x ∈ R

g(x) = x + 9

The domain of the **function**:

x ∈ R

f o g = f(g(x)) = |x + 9|

The **domain **of the function f o g is x ∈ R

Thus, the **domain** of the** functions **F(x)=|x|, g(x)=x+9, f o g is x ∈ R the functions exist for all **real **numbers.

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Could you better explain what the question is asking please ?

Recall that two figures are similar if their corresponding angles have the same measure.

Therefore, if we reduce or increment the measurement of each angle, the resulting figure will not be similar to the original figure.

Now, notice that increasing the length of the sides of a polygon does not necessarily result in a similar figure, for example:

Now, recall that translations, rotations, reflections, and dilations result in similar figures.

**Answer:** Third and last options.

Can you please help me

**Area of Sector.**

The area of a sector is given by the formula below:

[tex]\begin{gathered} \text{Area =}\frac{\theta}{360}\times\pi r^2 \\ \text{where }\theta=148\text{ ; r=6m ; }\pi=\frac{22}{7} \end{gathered}[/tex]Substituting these values into the formula above, we get

[tex]\begin{gathered} \text{Area of the shaded sector = }\frac{148}{360}\times\frac{22}{7}\times6^2 \\ \text{ } \\ \text{ = }\frac{148\times22}{70}\text{ = }46.514\text{ }\approx46.5m^2 \end{gathered}[/tex]**Thus, the correct answer is 46.5 square meters.**

At Shannon’s hats, 356 out of the 400 hats at the store are baseball caps. What percentage of the hats at the store are baseball caps?

**Answer:**

89%

**Step-by-step explanation:**

**Answer: **

**Step-by-step explanation:**

Max knows that 1/2 stick of butter is enough for 2 batches of cookies how many cookies can he make with 4 sticks of butter

**Answer: **

16 batches of cookies

**Step-by-step explanation:**

First, I converted the fraction (1/2) to a decimal (.5). Then I divided 4 by .5 and got 8. Next, multiply 8 by 2 and we get 16, which means we can make 16 batches of cookies.

4 ÷ .5 = 8

8 × 2 = 16

Help Me Please!!

Thank you

**Answer: 1/2**

**Step-by-step explanation:**

**1) Find the equation of sin of angle K**

Sine is opposite/hypotenuse.

Opposite of K = 5.

the hypotenuse of K = 10

You then get 5/10

**2) Simplify the fraction**

5/10 = **1/2**

find the volume of the following rectangular prism Round to the nearest tenth if necessary.

Consider that the volume of a rectangular prism is given by the following formula:

**V = l·h·w**

l: length = 4 cm

w: width = 5.1 cm

h: height = 9 cm

replace the previous values of the parameters into the formula for V:

V = (4 cm)(5.1 cm)(9 cm)

**V = 183.6 cm³**

**Hence, the volume of the rectangular prism is 183.6 cm³**

Find all value of x for which:

a. f(x) > g(x)

b.f(x) < g(x)

**Answer: a. (-10, 0) u(12, infinity)**

**b. (negative infinity, -10) u(0, 12)**

All of this is assuming that the ends of both functions are continuing in the direction it's going shown in the graph.

**Step-by-step explanation:**

f(x) and g(x) basically means the y value. So when f(x) is greater than g(x), it's saying the y value for the f(x) line is greater than the y value for g(x). This happens when x = -10 till x = 0 and x = 12 till forever going right.

Side note: (-10, 0) is a way to write the domain, with the first number meaning the start and the second number meaning the end.

Assume that a sample is used to estimate a population mean μ . Find the 99.5% confidence interval for a sample of size 867 with a mean of 60.2 and a standard deviation of 21.9. Enter your answer as a tri-linear inequality accurate to 3 decimal places.

Population means μ as a **tri-linear inequality** is given as 58.852< m<61.548 with a **confidence interval** of 99.5%.

What is a **confidence interval**?

Mean, x= 60.2

sample size, n= 867

**standard deviation**=21.9

population mean m as a tri-linear inequality is given by,

The t value for a 99.5% **Confidence interva**l because the sigma is unknown.

From Inverse t Distribution Calculator, the **Confidence interval** is 0.995 and the degree of freedom is 867-1=866

One-sided t-Score: 1.8125

We can now determine the standard error E:

E=1.8125(21.9/√867)=1.348

We can now create the **confidence interval** by:

x - E < m< x + E

60.2-1.348< m <60.2+1.348

58.852< m<61.548

Population means μ as a tri-linear inequality is given as 58.852< m<61.548 with a **confidence interval** of 99.5%.

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Consider the following sequence: 7,14,28,56,... find a19

We have the sequence:

[tex]\begin{gathered} a_1=7, \\ a_2=14, \\ a_3=28, \\ a_4=56, \\ \ldots \end{gathered}[/tex]We rewrite the sequence as:

[tex]\begin{gathered} a_1=7\cdot1=7\cdot2^0=7\cdot2^{1-1}, \\ a_2=7\cdot2=7\cdot2^1=7\cdot2^{2-1}, \\ a_3=7\cdot4=7\cdot2^2=7\cdot2^{3-1}, \\ a_4=7\cdot8=7\cdot2^3=7\cdot2^{4-1}, \\ \ldots \end{gathered}[/tex]From the previous equations, we see that the general term is given by:

[tex]a_n=7\cdot2^{n-1}.[/tex]Replacing n = 19, we get:

[tex]a_{19}=7\cdot2^{19-1}=7\cdot2^{18}=7\cdot262144=1835008.[/tex]**Answer**

what is the value of -20 - (-23)?

Given:

[tex]-2-(-23)=[/tex]When two negetive sign comes together it becomes positive.

[tex]\begin{gathered} -2-(-23)=-2+23 \\ =23-2 \\ =21 \end{gathered}[/tex]Thus, the final answer is 21.

We know that line ad is congruent to line BC and that angle 1 is congruent to angle 2. Which of the three theorems (ASA, SAS or SSS) would be used to justify that triangle ABC is congruent to triangle CDA? Explain your choice

The theorem that would be used to justify that **triangles** ABC and CDA are congruent is: **SAS**.

If we can show that the two sides and one included angle in one **triangle** is congruent to the two corresponding sides and an included angle in another **triangle**, then we can state that the two triangles are congruent to each other by the **SAS congruence theorem**.

**Triangles** ABC and CDA have the following:

Side AD is congruent to side BC [one pair of congruent sides]

Side AC is congruent to side CA based on the reflexive property [one pair of congruent sides]

Angle 1 is congruent to angle 2 [one pair of included congruent angle]

Therefore, the above information satisfies the **SAS congruence theorem**. Therefore, they are congruent triangles based on the **SAS**. The theorem that justifies why they are congruent is therefore **SAS**.

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Find the area of the figure given to the right. Round to the nearest whole number.

Looking at the figure, we can tell that the top is a triangle and the base is a trapezium. To find the area of the figure, we would find the sum of the triangle and the trapezium.

Recall, the formula for finding the area of a triangle is expressed as

Area = 1/2 x base x height

Looking at the triangle,

base = 9 + 9 = 18

height = 3

Thus, Area = 1/2 x 18 x 3 = 27

Again, the formula for finding the area of a trapezium is expressed as

Area = 1/2(a + b)h

where

h is the height of the trapezium

a and b are the lengths of the parallel sides

Looking at the trapezium,

a = 9 + 9 = 18

b = 13.4 + 13.4 = 26.8

h = 12

Area = 1/2(18 + 26.8)12

Area = 268.8

rounding to the nearest whole number,

**Area = 269 squared ft**

Convert0.0032% in fraction

STEP-BY-STEP EXPLANATION:

What to do? Convert percentage to fraction

Given parameter

0.0032%

If f(x) = 1/x which equation describes the graphed function?

y = f(x+2) -1 is the **equation** which describes the graphed function.

**Translation** is the act of moving a shape or a figure from one location to another. A figure can move in translation up, down, right, left, or anywhere else in the coordinate system. Only the object's position changes during translation; its size stays the same. In mathematics, a translation is the up, down, left, or right movement of a shape. Because the translated shapes appear to be exactly the same size as the original ones, they are consistent with one another. Just one or more directions have been altered.

Given,

When F crosses the x-axis when it is **negative**.

-1 indicates a 1 unit down **translation**.

So, the equation will be y = f(x+2) -1.

y = f(x+2) -1 is the **equation** which describes the graphed function.

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hwlp

Marcus has twice as many CD's as Kristen. Sherry has 12 more than Kristen. Together they have 100 CD's. How many does each person have?

Marcus have 44** CDs**, Sherry have 34 CDs and Kristen have 22 CDs.

Let us assume that Kristen has** x numbers** of CD's.

According to the provided situation,

Marcus have twice the number of CDs as Kristen.

Number of** CDs of Marcus** = 2x

The number of CDs of Sherry is 12 more than the CDs of Kristen

Number of** CDs of of Sherry** = 12 + x

Total number of CDs combined are 100.

So, we can write,

x + 2x + (12 + x) = 100

4x + 12 = 100

Any equation with the highest** degree of variable** as one, just like the above equation is called** Linear Equation.**

Further solving the Equation,

4x + 12 = 100

4x = 88

x = 22

The number of CDs that Kristen has is 22.

The number of CDs that Marcus have is 2(22).

The number of CDs Marcus gas is 44.

The number of CDs Sherry has is (12 + x) which is equal to 34.

The **number **of** CDs** Kristen, Marcus and Sherry have is 22, 44 and 34 respectively.

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May I please get help with this. For I am confused as to how i can get the correct answers as I’ve tried may times

**The new coordinates are (-1, 7), (-3, 3) and (-8, 5)**

To get the new coordinates after the translation, we will first find the initial coordinates of the three vertices

The three vertices: (3, 3), (1, -1) and (-4, 1)

**A translation of 4 units to the left:**

**A translation of 4 units up:**

**Plotting the points:**

the bottom coordinate is (-3,3)

the left coordinate is (-8,5)

the right coordinate is (-1,7)

the left coordinate is (-8,5)

the right coordinate is (-1,7)

Don is 6 feet tall. At a given time of day, he measures his shadow to be 13 feet long. At the same time, he measures the shadow length of a nearby tree to be 52 feet. How tall is the tree?

**Answer:**

24

**Step-by-step explanation:**

We will use the proportional concept to solve it.

So, 6/13 = x/52

x = 6*4

x = 24

So, height of tree is 24 feet

There are two ways that both work you can do X=6/13 X=0.461 then you multiply 52 by X. 52(0.461)=24

Or you can do 52/13 = 4

Then 4(6) = 24 both are correct so just chose the way your teacher wants ;)

Or you can do 52/13 = 4

Then 4(6) = 24 both are correct so just chose the way your teacher wants ;)

Issay's school plans to add one of three new elective classes next year:

teen leadership, fashion design, or robotics. Issay wants to know which

class the students at his school want most. He plans to survey a sample

of the population. Will each approach result in a sample that is

representative of the population? Explain.

Be

Yes, the **probability approaches** each time will result in getting a sample that is representative of the population of that group class.

If you are going on and properly conducting the specific research on a **specific population**, you will totally want to make sure that your taken sample of that population is absolutely representative.

If in any case your sample is a kind of representative of your total population, you will be able to confidently take up and generalize the results of your study to that of the population.

How to determine if a sample is absolutely representative of the population?In order to be a **representative sample**, the sample of the group must represent the total population as a whole.

For instance, if the researcher’s population of absolute interest has 60% of people of total ages 18-25 and 40% of the total people ages from about 26-40, then the **representative sample** must also absolutely reflect this ratio.

The best way of ensuring a representative sample is to have a complete list (i.e., sampling frame) of all the elements in the present population and know that each and every element (e.g., people or present households) on the list that has a **nonzero chance** (but then it is not necessarily required to be an equal chance) of being included in the entire sample.

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Determine an equation of the line that is perpendicular to the tangent to the graph y=1/x at x=2 and intersects at the point of tangency.

**ANSWER**

**EXPLANATION**

Two lines are perpendicular if they have opposite reciprocal slopes. So, to find the line, first, we have to find the slope of the line tangent to the graph of y = 1/x at x = 2. To do so, we have to find the derivative of the function and evaluate it at x = 2. That is the slope of the tangent line at that point.

The derivative of the function is,

[tex]y^{\prime}=\left(\frac{1}{x}\right)^{\prime}=(x^{-1})^{\prime}=-1\cdot x^{-1-1}=-1x^{-2}=-\frac{1}{x^2}[/tex]So, the slope of the tangent line at x = 2 is,

[tex]y^{\prime}(2)=-\frac{1}{2^2}=-\frac{1}{4}[/tex]Therefore, the slope of the perpendicular line is the opposite reciprocal,

[tex]m=-\frac{1}{y^{\prime}(2)}=-\frac{1}{-\frac{1}{4}}=4[/tex]So we have that the perpendicular line we are looking for is,

[tex]y=4x+b[/tex]We have to find the y-intercept, b. We know that this perpendicular line intersects the graph at the tangency point, so with that point, we will find b.

The x-coordinate of the tangency point is x = 2, and the y-coordinate is,

[tex]y(2)=\frac{1}{2}[/tex]Substitute (x, y) with (2, 1/2) in the equation of the line to find b,

[tex]\begin{gathered} \frac{1}{2}=4\cdot2+b \\ \\ \frac{1}{2}=8+b \end{gathered}[/tex]Subtract 8 from both sides,

[tex]b=\frac{1}{2}-8=\frac{1-8\cdot2}{2}=\frac{1-16}{2}=-\frac{15}{2}[/tex]Hence, **the equation of the line**** perpendicular to the tangent of the graph at x = 2 passing through the tangency point**** is,**

In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 68.3

inches and a standard deviation of 4.0 inches. A study participant is randomly selected. Complete parts (a) through (d)

below.

(a) Find the probability that a study participant has a height that is less than 68 inches.

The probability that the study participant selected at random is less than 68 inches tall is

There is a 0.0530 percent **probability** that the randomly chosen study participant will be shorter than 68 inches.

The **standard deviation** of a random variable, sample, statistical population, data set, or probability distribution is the square root of its variance. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

We have been given that

μ = 68.3

σ = 4.0

Find the probability that a study participant has a **height** that is less than 68 inches.

We are supposed to find P(x<68)

x = 68

z = (x - μ) / σ

z = (68 - 68.3) / 4

z = -0.3 / 4

z = -0.075

Use **z table** :

So, P(z<-0.0725)=0.0530

So, The probability that the study participant selected at **random** is less than 68 inches tall is 0.0530

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Which of the following is the correct mathematical expression for:

Double a number and then increase it by five

2x+5

2x-5

1/2x+5

1/2x-5

1 is correct

Double meaning multiplication by 2 (x2) and increase by 5 meaning adding 5(+5)

Double meaning multiplication by 2 (x2) and increase by 5 meaning adding 5(+5)

Ahmed is 144 miles away from Blake. They are traveling towards each other. If Blake travels 8 mph fasterthan Ahmed and they meet after 4 hours, how fast was each traveling?

*Data:*

• Distance ( ,D ,)= 144 miles

,• Time ( ,t ,) = 4 hours

,• Speed of Ahmed (,A,): unknown

,• Speed of Blake (,B,): unknown

,• Formula of speed:

[tex]D=\frac{speed}{t}[/tex]*Procedure:*

• As Blake travels 8 mph faster than Ahmed

[tex]B=8+A[/tex]Since they are traveling towards each other, we can add up their speeds as follows:

[tex]B+A=(8+A)+A=2A+8[/tex]Using the distance formula, we can find the speed:

[tex]D=\frac{2A+8}{t}[/tex][tex]2A+8=D\cdot t[/tex][tex]2A=D\cdot t-8[/tex][tex]A=\frac{D\cdot t-8}{2}=\frac{144\cdot4-8}{2}=284[/tex]To know the speed of Blake:

[tex]B=284+8=292[/tex]**Answer:**

• Blake = 292 mph

,• Ahmed = 284 mph

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You are working as a software developer for a large insurance company. Your company is planning to migrate the existing systems from Visual Basic to Java and this will require new calculations. You will be creating a program that calculates the insurance payment category based on the BMI score.Your Java program should perform the following things:Take the input from the user about the patient name, weight, birthdate, and height.Calculate Body Mass Index.Display person name and BMI Category.If the BMI Score is less than 18.5, then underweight.If the BMI Score is between 18.5-24.9, then Normal.If the BMI score is between 25 to 29.9, then Overweight.If the BMI score is greater than 29.9, then Obesity.Calculate Insurance Payment Category based on BMI Category.If underweight, then insurance payment category is low.If Normal weight, then insurance payment category is low.If Overweight, then insurance payment category is high.If Obesity, then insurance payment category is highest.
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