For the inequality y−x>−x2−1, where is the graph shaded and is the curve solid or dotted?

The statement that is TRUE of the rectangle is AB + BD > AD. Option A

WE have that a diagonal divides the rectangle into two equal triangles

line AD is the length of the diagonal

With the diagonal drawn, we have

AD = hypotenuse

AB  and BD are the two other sides

From the Pythagorean theorem, we have that the square root of the square sum of the other two sides fives the hypotenuse. This mean that their sum is greater than the hypotenuse

Thus, the statement that is TRUE is AB + BD > AD. Option A

The complete question is;

Which of the following statements is TRUE about rectangle ABDC.

a. AB + BD > AD

b. AB + BD < AD

c. AB + BD = AD

d. (AB) (BD) = AD

Learn more about diagonal of rectangles here:

https://brainly.com/question/23008020

#SPJ1

The two kinds of formula are used in the excel . One from the data analysis the t test assuming equal variances as nothing was mentioned. But if the t test for the means is used there might be slight variation in the values.

The other formula was of descriptive statistics.

The data was

No of feedback (sec) Feedback (sec) Difference

45 54 9

33 50 17

59 58 -1

32 38 6

30 42 12

27 35 8

29 38 9

59 66 7

64 65 1

38 55 17

The null hypothesis is accepted because t stat= -1.322 is less than t critical which is  t critical= ±2.119  and lies in the acceptance region.

The p- value is 2.04 which is greater than alpha= 0.05

The t stat for 0.01=  4.561578674 and t Critical two-tail 3.249835541

The t stat is greater than t critical at alpha 0.01 so it is rejected.

The difference t test gives

Count=N   9                  9

Mean       41.2             49.67

Mean Difference  8.4

Standard Deviation  14.967       11.97

Variance        223.944  143.25

Standard Error 2.0824

t       = -1.322

df = 16

t Critical two-tail 2.119905285

Confidence Level(95.0%) 4.802039614

Lower CI (95.0%) =  3.6

Upper CI(95.0%)=  13.2

t stat for 0.01=  4.561578674

t Critical two-tail 3.249835541

Confidence Level(99.0%) 6.055710988

Lower CI (99.0%) =  2.345

Upper CI(99.0%)=  14.457

For values between 3.6 and 13.2 we are 95% confident that there is no difference between the means of two given data values.

The null hypothesis is accepted because t stat= -1.322 is less than t critical which is  t critical= ±2.119  and lies in the acceptance region.

The p- value is 2.04 which is greater than alpha= 0.05

The t stat for 0.01=  4.561578674 and t Critical two-tail 3.249835541

The t stat is greater than t critical at alpha 0.01 so it is rejected.

For more understanding of t test  click

https://brainly.com/question/14056647

#SPJ1

Answer:

6.2%, 0.6, 5/8, 2/3

Step-by-step explanation:

For some reason, you have written the same numbers over and over.  It looks like there are only really 4 numbers.

I changed each number into a decimal and then compared them.

6.2% to change a percent to a decimal, move the decimal 2 places to the left so 6.2% equals 0.062.

0.6 is already in decimal form

5/8 you divide 5 by 8.  Put in your calculator 5 the division symbol and then  8 to get  0.625.

2/3 is 0.6 repeating or 0.66666 forever.

Now compare:

62% = 0.62

0.6

5/8 = 0.625

2/3 = 0.66666...

The graph of the absolute value function can be seen below.

Here we have the absolute value function:

[tex]f(x) = |x^2 - x -2|[/tex]

Notice that the argument of the absolute value function is a quadratic equation, then the graph of the function f(x) will be the graph of the quadratic equation, but such that the part below the horizontal axis is reflected.

Then the graph of the function is the one you can see below:

If you want to learn more about absolute value functions:

https://brainly.com/question/3381225

#SPJ1

The dimensions are 7 inches by 17 inches.

What is the area of rectangle?

Let the length be l inches

Let the breadth be b inches

Area = l*b

We can find dimensions as shown below:

Let the length be x inches

Let the width be y inches

Area = 119 square inches

x=3+2y             (1)

Area = l*w

119 = x*y

Putting value of x

119 = (3+2y) *y

119 = 3y+2y^2

2y^2+3y-119=0

2y^2-14y+17y-119=0

2y(y-7) +17(y-7) =0

(y-7) (2y+17) =0

y=7, -17/2

y cannot be negative

so, y = 7

Putting in equation (1)

x=3+2(7)

= 3+14

= 17

Hence, the dimensions are 7 inches by 17 inches.

Learn more about Area here:

https://brainly.com/question/22862820

#SPJ1

Binomial

First Degree

Naming and giving the degree of a polynomial can help people understand the different properties of an expression.

Naming Polynomials

Polynomials are named based on the number of terms in the expression.

For example, the expression above has 2 terms. The first being 2x and the second being 4. There are 2 separate terms being subtracted.

There are 3 main types of polynomials

This specific expression is a binomial.

Degree

The degree of a polynomial is the highest exponent in the expression. For example, if the largest exponent is a 6, then the degree is also 6.

In the binomial above, there is no written exponent; however, it can be assumed that the variable "x" has an exponent of 1. Thus, this binomial is of the first degree.

Additionally, when writing a polynomial in standard form, the terms should be written in descending order of exponents.

Graph 3

Because

The graph is like the first graph

When x approaches+oo y approaches+oo

But when x is negative the reverse thing happens

Hence Graph C is correct

Answer:

Graph 3

Step-by-step explanation:

Given function:

[tex]f(x)=\sqrt[3]{-x}[/tex]

Therefore, the parent function is:

[tex]f(x)=\sqrt[3]{x}[/tex]

(The graph of the parent function is the first graph in the answer options).

The transformation that takes the parent function to the given function is:

[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]

Therefore, the graph of the given function is the third graph in the given answer options (see attached).

Answer: [tex]\frac{(x-4)^2}{196} +\frac{(y-1)^1}{169} =1[/tex]

Step-by-step explanation:

You first need to determine if the ellipse is horizontal or vertical, which can be found by the length of the major axis.

The vertices are at (18,1) and (-10,1). The distance is 28 units.  (horiz)

The co-vertices are at (4,14) and (4,-12) The distance 26 units (vert)

The major axis is horizontal, so the standard form of the ellipse is

[tex]\frac{(x-h)^2}{a^2} +\frac{(y-k)^2}{b^2} =1[/tex] where (h,k) are the coordinates of the center.

To find the center, find the midpoint of the major axis [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]

The center is at (4,1)

Since the major axis is 2a, a would be 28 divided by 2=14 squared : 196

The minor axis is 2b, so b would e 26/2=13 squared: 169

Inserting the center and a,b values into the standard form eq:

[tex]\frac{(x-4)^2}{196} +\frac{(y-1)^1}{169} =1[/tex]

hope this helps.

The ages of Carl and Angela given from the expression is 25 years and 18 years respectively

5(x + 7) + 4x = 197

5x + 35 + 4x = 197

9x = 197 - 35

9x = 162

x = 162/9

x = 18

So,

Angela's age = x

= 18 years

Carl's age = x + 7

= 18 + 7

= 25 years

Learn more about Equation:

https://brainly.com/question/4074386

#SPJ1

The largest y-value from the solution set of the nonlinear system is 3.78. (Correct choice: C)

In this question we have a system of non-linear equation formed by a radical equation and a quadratic equation, which can be solved both analytically and graphically. By equalizing the two formulas we have the following equation:

√(2 · x + 4) = x² - 5 · x + 3

√(2 · x + 4) + 13 / 4  = x² - 2 · (5 / 2) · x + 25 / 4

√(2 · x + 4) + 13 / 4 = (x - 5 / 2) ²

√(2 · x + 4) = (x - 5 / 2) ² - 13 / 4

Then, we square both sides to eliminate the radical sign:

2 · x + 4 = (x - 5 / 2)⁴ - (13 / 2) · (x - 5 / 2)² + 169 / 16

2 · x + 4 = x⁴ + 4 · x³ · (- 5 / 2) + 6 · x² · (- 5 / 2)² + 4 · x · (- 5 / 2)³ + (- 5 / 2)⁴ - (13 / 2) · [x² + 2 · (- 5 / 2) · x + ( - 5 / 2)²] + 169 / 16

2 · x + 4 = x⁴ - 10 · x³ + (75 / 2) · x² - (125 / 2) · x + 625 /16 - (13 / 2) · x² + (65 / 2) · x - 325 / 8 + 169 / 16

2 · x + 4 = x⁴ - 10 · x³ + 31 · x² - 30 · x + 9

x⁴ - 10 · x³ + 31 · x² - 32 · x + 5 = 0

The real roots of this polynomial are:

x₁ ≈ 5.152, x₂ ≈ 2.862, x₃ ≈ 1.797, x₄ ≈ 0.189

Now we evaluate f(x) at each root:

y₁ ≈ 3.782, y₂ ≈ 3.118, y₃ ≈ 2.756, y₄ ≈ 2.092

The largest y-value from the solution set of the nonlinear system is 3.78. (Correct choice: C)

To learn more on nonlinear systems: https://brainly.com/question/10734771

#SPJ1

Answer:

I have wrote just answers

Answer:

Inequality Form: x > 17

Interval Notation: (17, ∞)

The net that can be folded to form a pyramid is A net has a square at the center. 2 triangles are on 1 side, and 2 triangles are on another side.

A net is a two-dimensional representation of a three dimensional solid object showing its faces.

Examples of material which can have nets are

Now, for a pyramid, we know that a pyramid is a three dimensional solid object that has one square base and four triangular sides.

So, when a pyramid is split into its net, it will have one square at the center and four triangles on the sides of the squares.

So, the net that can be folded to form a pyramid is A net has a square at the center. 2 triangles are on 1 side, and 2 triangles are on another side.

Learn more about net and pyramid here:

https://brainly.com/question/27865067

#SPJ1

Answer:

B

Step-by-step explanation:

You need to use the net that only have 1 square because a pyramid only has 1 square, it also has all the triangle sides needed which is 4. You can use a model to make a pyramid out of this net

The percentage of students age 15 and above travel to school by bus is 47%

The table of values is given as:

                     Method of Travel to School

                            Walk/Bike    Bus    Car Row totals

Under age 15                            18                 165

Age 15 and above    65                                 195

Column totals          152          110        98      360

Using the column total of column 1, we have:

Under age 15 + 65 = 152

This gives

Under age 15 = 87

Using the column total of column 2, we have:

Age 15 and above + 18 = 110

This gives

Age 15 and above  = 92

Using the row total of row 1, we have:

Car + 87 + 18 = 165

This gives

Car = 60

Using the row total of row 2, we have:

Car + 65 + 92 = 195

This gives

Car = 38

So, the complete frequency table is

                     Method of Travel to School

                            Walk/Bike    Bus    Car Row totals

Under age 15           87              18      60        165

Age 15 and above    65          92        38        195

Column totals          152          110        98      360

The percentage of students age 15 and above travel to school by bus is:

Percentage = 92/195 * 100%

This gives

Percentage = 47%

Read more about frequency table at:

https://brainly.com/question/12576014

#SPJ1

The steps to carry out scaling of a landscape drawing are; as detailed below

The steps to carry out if we want to scale landscape drawings are;

Read more about Landscape drawings at; https://brainly.com/question/15738857

#SPJ1

Answer:

t + 3

Step-by-step explanation:

adding 3 years onto t amount of years

Answer:

A

Step-by-step explanation:

9|x-8|<36

|x-8|<4

-4<x-8<4

add 8

-4+8<x-8+8<4+8

4<x<12

The two colors can be chosen in 3 different ways.

If we have a set of N elements, the number of different sets of K elements (such that the order of the K elements does not matter) is:

[tex]C(N, K) = \frac{N!}{(N - K)!*K!}[/tex]

In this case, we have 3 colors, so N=3, and we want to choose 2, then K=2.

Replacing that we get:

[tex]C(3, 2) = \frac{3!}{(3- 2)!*2!} = \frac{3*2*1}{1*2*1} = 3[/tex]

The two colors can be chosen in 3 different ways.

If you want to learn more about combinations:

https://brainly.com/question/11732255

#SPJ1

The pairs of prime numbers (p,q) such that  p^2-p=37q^2-q is (43, 7)

The expression is given as:

p^2 - p=37q^2 - q

The boundary or range of numbers of p and q is not given.

So, we make use of numbers between 2 (because 1 is not a prime number) and a very large number (say 1000000)

i.e. 2 ≤ p ≤ 1000000 and 2 ≤ b ≤ 1000000

Using the above range, we have the following program to determine the pairs of prime numbers (p, q).

for a in range(2,1000000):

  for b in range(2,1000000):

      if ((a* *2) - a) == (37 * (b* *2) - b):

          print(str(a)+","+str(b))

The output of the above program is:

(43, 7)

The above represent all pairs of prime numbers (p,q) such that p^2 - p=37q^2 - q

Read more about prime numbers at:

https://brainly.com/question/28107353

#SPJ1

The surface area of the square pyramid if the length of the sides of the base are 10 cm, and the slant height is 15 cm is 416.2 cm²

Surface area of the square pyramid

= a² + 2a√a²/4 + h²

where,

Surface area of the square pyramid

= a² + 2a√a²/4 + h²

= 10² + 2(10)√10²/4 + 15²

= 100 + 20√100/4 + 225

= 100 + 20√25 + 225

= 100 + 20√250

= 100 + 20(15.81)

= 100 + 316.2

= 416.2 cm²

Therefore, the surface area of the square pyramid if the length of the sides of the base are 10 cm, and the slant height is 15 cm is 416.2 cm²

Learn more about surface area:

https://brainly.com/question/16519513

#SPJ1

Answer:

Yes. {(-12, 8), (-15, 8), (-5, 8)} is function because there is no overlap in the x values.

The possible temperatures are represented by (-∝, 29)

Let the high temperature be x

So, the statement can be represented as:

2x > 5x - 87

Subtract 5x from both sides

-3x > -87

Divide both sides by -3

x < 29

In interval form, we have (-∝, 29)

Hence, the possible temperatures are represented by (-∝, 29)

Read more about interval notation at:

https://brainly.com/question/5167781

#SPJ1

Answer:

15+15

Step-by-step explanation:

Two 15's added together can equal 30

The tree diagram representing these reporting relationships is attached.

It should be noted that a tree diagram is a planning tool that is used to show the hierarchy of tasks that are needed to be completed.

In this case, the tree diagram shows the way the employees report to each other.

Learn more about tree diagram on:

brainly.com/question/2581880

#SPJ1

Answer:

one pound of chocolate chips = $2.75

one pound of walnuts = $3.75

Step-by-step explanation:

we can solve this by first making an equation

let's write the number of chocolate chips in c

and the number of walnuts in w

5c  + 3w = 25

7c + 9w = 53

let's first solve for c by multiplying the top equation by 3 and subtracting the bottom equation from it

(15c + 9w = 75) - (7c + 9w = 53)

8c = 22

c = $2.75

Let's now start to solve for w by inputting c into one of the equations.

(2.75)7 + 9w = 53

19.25 + 9w = 53

9w = 53 - 19.25

9w = 33.75

w = $3.75

a pound of chocolate chips  = 2.75

a pound of walnuts = 3.75

give me brainliest, please!

Hope this helps :)

Answer:

each pound of chocolate chips costs $2.75

each pound of walnuts costs $3.75

Step-by-step explanation:

let c be the cost of a pound of chocolate chips

and w be the cost of a pound of chocolate chips

For 5 pounds of chocolate chips and 3 pounds of walnuts,

the total cost is $25  means  5c + 3w = 25

For 7 pounds of chocolate chips and 9 pounds of walnuts,

the total cost is $53  means  7c + 9w = 53

Now we have to solve the system:

[tex]\begin{cases}5c+3w=25&\\ 7c+9w=53&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}15c+9w=75&\\ 7c+9w=53&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}15c+9w=75&\\ 8c=22&\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}15c+9w=75&\\ c=\frac{11}{4} &\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}9w=75-15 \times \frac{11}{4} &\\ c=\frac{11}{4} &\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}9w=\frac{135}{4} &\\ c=\frac{11}{4} &\end{cases}[/tex]

[tex]\Longleftrightarrow \begin{cases}w= \frac{15}{4} &\\ c=\frac{11}{4} &\end{cases}[/tex]

Answer:

80

Step-by-step explanation:

1) if the number of hamburgers is 'h', number of cheesburgers is 'c', then

2) the condition 'The number of cheeseburgers sold was three times the number of hamburgers' can be written as c=3h. Also

3) the condition 'combined total of 320' can be written as h+c=320, then

4) it is possible to make up the system of equations:

[tex]\left \{ {{c=3h} \atop {c+h=320}} \right. \ = > \ \left \{ {{c=240} \atop {h=80}} \right.[/tex]

5) finally, number of hamburgers is 80.

Considering the given regression equation, the number of weeks that will pass before the value of the stock reaches $600 is of:

B. 8.3.

The value of the stock y after x weeks is given as follows:

log(y) = 0.3x + 0.296.

We have to solve for x when y = 600, hence:

log(600) = 0.3x + 0.296

0.3x = 2.7782 - 0.296

x = (2.7782 - 0.296)/0.3

x = 8.3 weeks.

More can be learned about regression equations at https://brainly.com/question/25987747

#SPJ1

Answer:

1050 masks per person.

Step-by-step explanation:

1) Create an equation to find the total number of masks

2) Solve equation and divide total by 2 to get the number of masks that can be given to both Mark and Paula so that they have equal number.

1) Since Paula has 70% of the total masks, it can be represented as 0.7 * t where t is the variable representing the total number of masks. Mark on the other hand has the remaining number of masks out of 100% which is 30%. We can express that as 0.3. We multiply that by t because he has 30% of the masks. The final equation we have is 0.3t + 840 = 0.7t. 840 because Paula has 840 more masks than Mark.

2) Solve by subtracting 0.3t from both sides leaving you with 0.4t = 840. We divide both sides by 0.4 to get 2100. That is the total number of masks. If we divide that number by 2, we get 1050.

Answer:

2 hours

Step-by-step explanation:

If Thomas can paint 1/3 = 2/6 of the room in a hour and Brian can paint 1/6 of the room in an hour. Which means in an hour they can collectively paint 3/6 = 1/2 of the room. Now you need to find how long it would take then to paint 2/2 of the room. Knowing that 1/2+1/2 = 2/2, it would take them 2 hours to paint the room together