4x² - 4x - 5=8x+6
Simplest radical form

Answers

Answer 1

Answer:

4^2 + 4x= 1

Step-by-step explanation:

4x^2 - 4x - 5= 8x +6

4x^2- 4x+8x =6-5

4x^2 + 4x =1


Related Questions

A circle with radius of \greenD{1\,\text{cm}}1cmstart color #1fab54, 1, start text, c, m, end text, end color #1fab54 sits inside a \blueD{3\,\text{cm} \times 4\,\text{cm}}3cm×4cmstart color #11accd, 3, start text, c, m, end text, times, 4, start text, c, m, end text, end color #11accd rectangle

Answers

Answer:

[tex]8.86cm^2[/tex]

Step-by-step explanation:

Given the rectangle of 3cm by 4cm and a circle of 1 cm inside it:

The Area of the shaded portion =Area of Rectangle-Area of Circle

Area of a Rectangle=Length X Width[tex]=3 X 4 =12cm^2[/tex]

Area of the circle =[tex]\pi r^2=\pi X 1^1=3.142cm^2[/tex]

Area  of the shaded portion=12-3.142

[tex]=8.86cm^2[/tex]

Final answer:

The area of the shaded region inside the rectangle but outside the circle is 8.86 cm².

Explanation:

A circle with a radius of 1 cm sits inside a rectangle with dimensions of 3 cm by 4 cm. To solve this problem, we can use the formula to find the area of a rectangle and the area of a circle.

The area of the rectangle is calculated by multiplying its length by its width, giving us an area of 12 cm². The area of the circle can be found using the formula A = πr², where A represents the area and r represents the radius.

Plugging in the given radius of 1 cm, we find that the area of the circle is π cm², which is approximately 3.14 cm². Therefore, the area of the shaded region (the region inside the rectangle but outside the circle) is 12 cm² - 3.14 cm² = 8.86 cm².

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Could anyone help me with this? I will mark you as brainliest

Answers

Answer:

the right answer is number 7

Answer:

= 7

Step-by-step explanation:

[tex] \frac{ {7}^{8} \times {7}^{3} \times {7}^{4} }{ {7}^{9} \times {7}^{5} } \\ = \frac{ {7}^{8 + 3 + 4} }{ {7}^{9 + 5} } \\ = \frac{ {7}^{15} }{ {7}^{14} } \\ = {7}^{15 - 14} \\ = 7[/tex]

10. For an art project, Shani cuts a 90°
angle out of a circle. Which fraction
of the circle does she cut out?

Answers

Answer:

1/4

Step-by-step explanation:

There are 360 degrees in a circle and we have 90 degrees

90/360 = 1/4

Answer:

1/4

Step-by-step explanation:

There are 360 degrees in a circle.

The part she cut out was 90/360

That can be simplified to 1/4.

Therefore, Shani cut out 1/4 of the circle.

1/2x -2 =3 solve plZ

Answers

Answer:

x = 10

Step-by-step explanation:

1/2 x - 2 = 3

1/2 x = 3 + 2

1/2 x = 5

x = 5 / (1/2)

x = 10

7. A box contains fifteen billiards balls, numbered 1 through 15. Anna draws a ball, records the number, and then returns it to the box. Then Vicki draws a ball. Find the probability of getting a 9 then a 3. *

Answers

Final answer:

The probability of first drawing a ball numbered 9 and then drawing a ball numbered 3, with each ball being returned to the box between draws, is 1 in 225.

Explanation:

The question is about calculating the probability of two specific events occurring consecutively when drawing billiard balls from a box that contains numbers 1 through 15. We focus on the probability of first drawing a ball numbered 9 and then, after returning it, drawing a ball numbered 3. Since each ball is returned to the box before the next draw, the number of possible outcomes does not change between draws.

For the first draw, the probability of drawing a 9 is 1 out of 15 (since there is one '9' ball and 15 total balls). When the 9 ball is returned, the probability of drawing a 3 on the second draw is also 1 out of 15. Because these two events are independent (the outcome of the second draw does not depend on the outcome of the first), we multiply the probabilities of each event to find the overall probability of both events occurring:

Probability of drawing a 9 and then a 3 = (1/15) * (1/15) = 1/225.

This means there is a 1 in 225 chance of drawing a 9 followed by a 3 when both balls are returned to the box in between draws.


Truncate the decimal expansion of
6
to find the best approximation.
A) 1.8 <
6
< 1.9
B) 1.80 <
6
< 1.85
C) 1.81 <
6
< 1.82
D) 1.82 <
6
< 1.83

Answers

Truncate the decimal expansion of √3.6 is  1.89.

The correct option is A.

What is decimal?

Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point.

Given:

An expression,

decimal number √3.6.

The value of √3.6 = 1.8973.

From the given choices:

It will lie between,

1.8 < √3.6< 1.9

Therefore, 1.8 < √3.6 < 1.9.

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The complete question:

Truncate the decimal expansion of √3.6 to find the best approximation.

A)1.8 < √3.6< 1.9

B)1.80 < √3.6< 1.85

C)1.81 < √3.6< 1.82

D)1.82 < √3.6 < 1.83

A woman put $580 into a savings account. she used 25% of that amount to take a trip . How much money was used to take the trip?

Answers

Answer:

145 dollars

Step-by-step explanation:

Answer: 145

Step-by-step explanation:

bruh literally 580 times 25% on a calc

Which set of line segments could create a right triangle? (4 points)

Answers

15,36,39 is a set of line segments that could create a right triangle

Answer:

The answer is 18, 24, and 30. because there is a special triangle triple (it only works on right triangles.) it is the ration 3:4:5. If you multiply 6 to all of them you get 18:24:30 which is your answer.

Step-by-step explanation:

because there is a special triangle triple (it only works on right triangles.) it is the ration 3:4:5. If you multiply 6 to all of them you get 18:24:30 which is your answer.

:)

Triangle DEF is similar to triangle ABC, and the length of EF is 5cm. What are the lengths of sides DE is 6cm and DF is 8cm centimeters?

Answers

Final answer:

The lengths of the sides corresponding to DE and DF in triangle ABC are 3.75cm and 5cm respectively as triangles DEF and ABC are similar and their sides are in proportion.

Explanation:

Since triangles DEF and ABC are similar, then their corresponding side lengths are proportional. This means the ratio of the lengths of corresponding sides in both triangles remains constant.

Therefore, the lengths of the corresponding sides in triangle ABC will be in the same ratio as that of the sides in triangle DEF. Since we know the lengths of sides DE and DF in triangle DEF are 6cm and 8cm respectively, we can conclude that the lengths of the sides corresponding to DE and DF in triangle ABC will be in the same ratio as 6 and 8.

The ratio of 6 and 8 can be simplified to 3:4. Therefore, given that the length of side EF in triangle ABC is 5cm, we can apply cross-multiplication to find the lengths of the other sides. For example, using the ratio 3:4 to find the length corresponding to DE in triangle ABC, we would get 5/4 * 3 = 3.75cm. Similarly, "for DF we would get 5/4 * 4 = 5cm".

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The lengths of sides DE and DF in triangle DEF are 6 cm and 8 cm, respectively.

Since triangle DEF is similar to triangle ABC, the corresponding sides of both triangles are proportional. This means that the ratio of any two corresponding sides in the two triangles will be the same. Let's denote the lengths of the corresponding sides in triangle ABC as follows: side AB corresponds to DE, side BC corresponds to EF, and side AC corresponds to DF.

Given that EF is 5 cm, we can set up the following proportion using the corresponding sides of the two triangles:

[tex]\[\frac{DE}{AB} = \frac{EF}{BC} = \frac{DF}{AC}\][/tex]

We know the lengths of DE and DF, so we can express the lengths of AB and AC in terms of the lengths of DE and DF, using the proportion:

[tex]\[\frac{6}{AB} = \frac{5}{BC} = \frac{8}{AC}\][/tex]

From the proportion, we can solve for AB and AC:

[tex]\[AB = \frac{6}{5} \times BC\][/tex]

[tex]\[AC = \frac{8}{5} \times BC\][/tex]

Since we do not have the actual length of BC, we cannot determine the exact lengths of AB and AC. However, we can express them in terms of BC, the corresponding side in triangle ABC. If BC is known, we can simply multiply it by the respective ratios to find AB and AC.

In conclusion, the lengths of sides DE and DF in triangle DEF are 6 cm and 8 cm, respectively, and the lengths of the corresponding sides AB and AC in triangle ABC can be calculated once the length of BC is known, using the ratios derived from the similarity of the triangles.

Which of these are mathematical sentences? Check all that apply.
O
A. b + 41 = 93
OB. + 23
OC. 93
O D. 7y= 49​

Answers

Answer:

A, D

Step-by-step explanation:

A is a completed statement and b can be solved.

B is an incomplete statement.

C is just a number.

D is a completed statement and y can be solved.

whats the theoretical probability of rolling a 5 on a normal dice?

Answers

Answer:

1/6

Step-by-step explanation:

A "normal" dice is considered to have 6 sides

6 numbers

10/36 = (27.778%)

Hope this helps you !!!!!

Have a nice day/night

Convert the angle 0 = 290° to radians.
Express your answer exactly.
0 =
radians

Answers

Answer:

[tex]\frac{290}{180}\pi[/tex]

Step-by-step explanation:

To convert from degrees to radians you multiply by [tex]\frac{\pi}{180}[/tex]

The exact value of 290° is [tex]\dfrac{290\pi }{180}[/tex] the radian.

How to convert angle from degree to radians?

To convert a given angle from degrees to the radians, we will multiply by [tex]\dfrac{\pi }{180}[/tex].

The given degree measure is 290°

Its radian equivalence is

[tex]\dfrac{\pi }{180} \times 290\\ \\= \dfrac{290\pi }{180}[/tex]

Therefore the exact value of 290° is [tex]\dfrac{290\pi }{180}[/tex] the radian.

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What is the best approximation for the input value when
f(x)=g(x)?
0.0
0.5
1.5
3.0

Answers

Answer: C.1.5

This is the correct answer so i hope it helps.

Answer:

C.1.5

just took on eg

North Carolina: 79.6 years
Oregon: 82 years
District Of Columbia: 77.9 years
Nevada: 81.3 years
New York: 82.5 years
Colorado: 80.9 years
Alaska: 74.9 years
Connecticut: 82.7 years
Montana: 74.1 years
Mississippi: 74.2 years

please answer all questions to the best of your ability!!
will rate brainliest!!
thank you so much

Answers

Answer:

See below

Step-by-step explanation:

Think: They want us to make a box-o-gram (histogram and box-whisker-plot combo).

Identify: They gave us the information we need and we know that health care varies in each state, so that affects the life longevity and also different imcomes affect the care people resceive. We will make the box-o-gram after ordering the data appropriately.

Do: After ordering the numbers from least to greatest, we make calculations for the medians and mean. Here are the answers:

Least: 75 (Need to round up for this)

Greatest: 83 (Need to round up)

Q1: 90.2 (Got this by adding the two numbers of the upper half of data and dividing by 2)

Median/mean: 80.2 (Average of the data)

Q3: 85 (Rounded. Got this by adding the two numbers of the middle half of data and dividing by 2)

Answer:

A: 75

B: 80.2

C: 90.2

D: 85

E: 83

Yes, this makes sense since the data on the box-o-gram fall within the data given in the chart at the top of the worksheet.

This scatterplot and regression line below show the relationship between the average rent for a 111-bedroom apartment in New York and the number of years after the year 200020002000.
The fitted line has a yyy-intercept of 800800800.
What is the best interpretation of this yyy-intercept?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
On average, the rent of a 111-bedroom apartment in New York increases by 800800800 dollars each year.

(Choice B)
B
The average rent for a 111-bedroom apartment in New York is approximately 800800800 dollars.

(Choice C)
C
The model indicates that 111-bedroom apartments in New York had an average rent of approximately 800800800 dollars in 201020102010.

(Choice D)
D
The model indicates that 111-bedroom apartments in New York had an average rent of 800800800 dollars in 200020002000.
A graph plots Average rent, in dollars per month, from 0 to 1200, in increments of 100, versus Years after 2000, from 0 to 12, in increments of 2. 14 points rise diagonally in a single file cluster between (0, 800) and (12, 1290). A regression line rises diagonally through the center of the cluster from (0, 800) to (12.5, 1300). All values estimated.

Answers

Answer:

  D  The model indicates that 1-bedroom apartments in New York had an average rent of 800 dollars in 2000.

Step-by-step explanation:

The y-axis of the graph represents the year 2000. The value on that axis represents the rent for a 1-bedroom apartment. So, the y-intercept of 800 means ...

  1-bedroom apartments in New York had an average rent of 800 dollars in 2000

The best interpretation of this y-intercept is the model indicates that 1-bedroom apartments in New York had an average rent of 800 dollars in 2000.

What is y-intercept of a function?

The intersection of the graph of the function with the y-axis gives y-intercept of that function.

The y-intercept is the value of y on the y-axis at which the considered function intersects it.

Thus, y-intercept of y = f(x) is y = f(0)

In this case, x be the number of years after the year 2000.

Then we can show that x = 0, represents the year 2000 itself.

Now, the y-intercept is the value of y when we have x = 0.

So, the y-intercept gives information about the average price of a 1-bedroom apartment in the year 2000.

The information that we can conclude with this is the model indicates that 1-bedroom apartments in New York had an average rent of 800 dollars in 2000.

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If the equal sides of an isosceles right triangle measure 12 units then the measure of the hypotenuse is

Answers

Answer:

16.97056275

Step-by-step explanation:

12 squared + 12 squared = 288

square root of 288 = 16.97056275

The measure of the hypotenuse of an isosceles triangle with equal sides measureing 12 units is 16.97 units

What is an isosceles triangle?

An isosceles triangle is a triangle that has two of its sides equal to each other . The base angle is also equal to each other.

The isosceles triangle is a right triangle. Since, one of the leg is 12 units, the other leg is also 12 units.

Using pythagora's theorem,

c² = a² + b²

c = √12² + 12²

c = √144 + 144

c  = √288

c = 16.9705627485

c = 16.97 units

Therefore, the length of the hypotenuse is 16.97 units.

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The graph below shows the function f (x) = StartFraction 5 x + 10 Over x squared + 7 x + 10 EndFraction.

On a coordinate plane, a hyperbola is shown. Both curves approach x = negative 5. There is a hole at x = negative 2.

Where is the removable discontinuity of f(x) located?
x = –5
x = 0
x = –2
x = 5

Answers

Answer:

The removable discontinuity of f(x) would be located at C: x = –2.

Also, the image linked below has the graph that is associated with this question. The original poster forgot to add that so if you needed to make sure this is the right question, there you go.

1 Point
The area of a rectangle with width x and length 6x is 6x2. What does the
coefficient 6 mean in terms of the problem?
O
A. The total area of the square is 6.
O
B. The length iş 6.
O
C. The length is 6 times the width.
O
D. The width is 6 times the length.

Answers

Answer:

C. The length is 6 times the width.

Step-by-step explanation:

Hope it helps you in your learning process.

Classify the quadrilateral. Then find the value(s) of the variable(s).​

Answers

Answer:

D

Step-by-step explanation:

The shape we see is a kite.

The measures of the triangles must add to 180°.

27 + 90 + x = 180°

117 + x = 180°

x = 63°

3 = 63°

We can also solve for 1 and 2. 2 is a right angle so 90° and 1 is a reflection of the 27° angle on the other side, so it also is 27°.

1 = 27°  2 = 90°  3 = 63°

I'm always happy to help :)

Which of the following is true of functions and their inverses?

The inverse of a quadratic function is not a function.

The inverse of a quadratic function is always a function.

The inverse of a linear function is not a function.

The inverse of a linear function is always a function.

Answers

Final answer:

The inverse of a quadratic function is not always a function, as it can assign multiple outputs to a single input. Conversely, the inverse of a linear function is always a function because it strictly assigns one output to each input.

Explanation:

The presented statements about the nature of functions and their inverses are particularly related to the definition of a function. A function is a rule which assigns to each input exactly one output. Considering this, the inverse of a quadratic function is not always a function because it can assign multiple outputs (y-values) to a single input (x-value). This is why the graph of a quadratic function doesn't pass the 'horizontal line test', which is a criterion for a graph to represent a function.

On the other hand, the inverse of a linear function is indeed always a function. Because a linear function always assigns exactly one output to each input, its inverse will also satisfy the definition of a function.

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Please help me!

A giant water lily pad is shaped like a circle with a diameter of up to 9 feet. Find the circumference and area of the pad. Use 3.14 for π. Round to the nearest tenth. Drag and drop the numbers into the boxes to show the circumference and area of the pad.

(fill in the blanks)

The circumference of the lily pad is about [ ] ft.

The area of the lily pad is about [ ] ft^2.

(options for both: 14.1, 63.6, 254.3, 28.3)

Answers

Answer:

Circumference of the lily pad is about 28.3 ft

Area of the lily pad is about 63.6 ft²

Step-by-step explanation:

Formula for circumference of circle is,

Circumference = 2 π r

Given that diameter is 9 ft. Therefore radius is half of diameter.

[tex]r=\dfrac{d}{2}[/tex]

Substituting the values,

[tex]r=\dfrac{9}{2}=4.5[/tex]

Also value of π = 3.14

Substituting the value,

C = 2 × 3.14 × 4.5

Simplifying,

C = 28.26 ft

Rounding to nearest tenth value of circumference is C = 28.3 ft.

Formula for area of circle is,

A = π r²

Substituting the values,

A = 3.14 × 4.5²

Simplifying,

A = 63.585 ft².

Rounding to nearest tenth value of area is A = 63.6 ft².

Which of the following describes the probability distribution below? A probability distribution is shown. The probability of 1 is 0.75; 2 is 0.1; 3 is 0.1; 4 is 0.5; 5 is 0. The mean is greater than the median, and the majority of the data points are to the left of the mean. The mean is greater than the median, and the majority of the data points are to the right of the mean. The median is greater than the mean, and the majority of the data points are to the left of the mean. The median is greater than the mean, and the majority of the data points are to the right of the mean.

Answers

Answer:

I also think it is A.

Step-by-step explanation:

This is because the mean will be pulled towards the skewed side. Causing,  the mean become greater than the median. Also, most of the Data points are to left side of the graph. Therefore, making the answer A.

Please mark me the brainliest.

The answer choice which describes the probability distribution below is:

The mean is greater than the median, and the majority of the data points are to the left of the mean

What is Probability Distribution?

This refers to the way in which probabilities are distributed over values of a random variable.

With this in mind, we can see that based on the fact that the mean will be pulled towards the skewed side. then there would be a disproportionate value between the mean and the median so that the majority of the data points are to the left of the mean

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The data below shows the scores of some students on a test:

28, 30, 22, 20, 24, 23, 32

Which box plot represents the data?

A box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 22 to 30 on the number line. There is a vertical line in the box at 24. The whiskers end at 20 and 32. Above the line is written Student Scores. Correct Answer

A box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 22 to 30 on the number line. There is a vertical line in the box at 24. The whiskers end at 20 and 35. Above the line is written Student Scores.

A box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 22 to 26 on the number line. There is a vertical line in the box at 24. The whiskers end at 20 and 30. Above the line is written Student Scores.

A box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 22 to 30 on the number line. There is a vertical line in the box at 25. The whiskers end at 20 and 32. Above the line is written Student Scores.

Answers

The answer is

A. A box and whisker plot is drawn using a number line from 20 to 35 with primary markings and labels at 20, 25, 30, 35. In between two primary markings are 4 secondary markings. The box extends from 22 to 30 on the number line. There is a vertical line in the box at 24. The whiskers end at 20 and 32. Above the line is written Student Scores.

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What is the median of the data in this stem-and-leaf plot? 31.0 31.5 32.0 32.5 Untitled Stem and leaf plot. Vertical line separates each stem number from its first leaf number. First row. Stem 2. Leaves 6, 7, 7. Second row. Stem 3. Leaves 0, 2, 3, 3, 4. Third row. Stem 4. Leaves 0, 5. Key. 3 vertical line 0 means 30.

Answers

Answer:

32.5

Step-by-step explanation:

there are 4 rows

1  = 3

2 =  5

3 =  2

so there is 10 numbers

We go for the middle number which is 2-3 so the answer must be 32.5.

We know it is between 2-3 as the same as 1-10

1,2,3,4,5, ------ 6,7,8,9,10

So the imput numbers are listed 2 + 3 in your stem diagram where so 5 + 6 would be in the explanation. As 10 +1 = 11  then 11/2 = 5.5  - this means 5.5 = 32.5 as 33 would be the 6.

Answer:

32.5

Step-by-step explanation:

I took the test c:

Solve the inequality.
y − 3 ≥ −5

Answers

Answer:

y≥−2

Step-by-step explanation:

Answer:

y _> -2

Step-by-step explanation:

you add 3 to both sides which leaves you with -2

What is the parent function of
NEED HELP ASAP!!

Answers

y= (1/2)^x hope this helps :)
Y=(1/2) x I’m pretty sure

In the diagram below, P is circumscribed about quadrilateral ABCD. What is the value of x?

Answers

Answer:

  60°

Step-by-step explanation:

In a circumscribed quadrilateral, opposite angles are supplementary.

  x° = 180° -120°

  x° = 60°

_____

Derivation of the relationship

Arcs BAD and BCD have a sum of 360°. Arc BAD is twice the measure of angle BCD. Likewise, arc BCD is twice the measure of angle BAD. So, we have ...

  2∠BCD +2∠BAD = 360°

  ∠BCD +∠BAD = 180° . . . . . . divide by 2. This is the relation we used above.

Selena spends $53.94 to buy a necklace and a bracelet set for each of her friends. Each necklace cost 9.99, and each bracelet costs 7.99. How many necklace and bracelet sets, s, did selena buy?

Answers

Answer:

3 sets

Step-by-step explanation:

each set is 17.98 (adding necklace and bracelet)

Total is 53.94

dividing 53.94 (amount spent) by 17.98 (cost of set)

Results in 3 sets

Answer:

She bought 3 necklace and bracelet sets

If i can be brainliest that would be great

Step-by-step explanation:

Each set contains a necklace and a bracelet

∵ Each necklace cost $9.99

∵ Each bracelet cost $7.99

∴ The cost of one set = (9.99 + 7.99)

∵ She spent on them $53.94

- Add the cost of a necklace and the cost of a bracelet and

 multiply the sum by x  and then equate the product by 53.94

∴ (9.99 + 7.99)x = 53.94

∴ 17.98 x = 53.94

- Divide both sides by 17.98

∴ x = 3

find the radius of circle j !!

Answers

Answer: 5.38

Step-by-step explanation:

a^2+b^2= c^2

4^2+ 3.6^2=c^2

16+ 12.96=c^2

28.96=c^2

Sq rt of 28.96

C= 5.38

Gracie can do a 4-foot long jump. How many jumps will she have to do in order to jump a total of 8 yards?
Pls help will give BRAINLIEST!!!

Answers

Answer

I think it would be 8 jumps, might not be correct though.

Step-by-step explanation:

1 yard = 3 foot

There is already 3 foot inside of 4 foot so you just keep adding until you hit 8 yards.

Other Questions
Perry, a buyer for Superior Products Company, a manufacturer of bulletin boards and other office supplies, visits a lumberyard and is shown samples of cork by Monica, a salesperson. Perry agrees to buy a certain quantity based on Monica's statement that the shipment will match a selected sample. The statement is:________a. an express warranty.b. an implied warranty.c. a warranty of title.d. puffing Two events in space are described below.Event 1: The moon moves into the shadow of Earth at night and this makes it difficult to see the moon from Earth.Event 2: The moon comes between the sun and Earth, but the moon only covers the center of the sun's disk and the sun's circular edge is visible.Which event or events represent(s) a total solar eclipse on Earth?Group of answer choicesOnly Event 1Only Event 2Both Event 1 and Event 2Neither Event 1 nor Event 2 You are asked by your college crew to estimate the skin friction drag in their eight-seat racing shell. The hull of the shell may be approximated as half a circular cylinder with 450 mm diameter and 7.32 m length. The speed of the shell through the water is 6.71 m/s. Estimate the location of the transition from laminar to turbulent flow in the boundary layer on the hull of the shell. Calculate the thickness of the turbulent boundary layer at the rear of the hull. Determine the total skin friction drag on the hull under the given conditions Which graph shows a negative rate of change for the interval 0 to 2 on the x-axis?On a coordinate plane, a parabola opens up. It goes through (negative 6, 3), has a vertex of (negative 1.5 negative 3.75), and goes through (3.2, 4). On a coordinate plane, a parabola opens up. It goes through (negative 5.5, 4), has a vertex of (negative 1, negative 3.2), and goes through (3.5, 4). On a coordinate plane, a parabola opens up. It goes through (negative 1, 4), has a vertex of (2.5, 0.25), and goes through (5.8, 4). On a coordinate plane, a parabola opens up. It goes through (negative 3.4, 4), has a vertex of (1.5, negative 3.75), and goes through (6, 3). Chantel dropped a tiny spot of ketchup on her pants during lunch. Even though her teacher was able to completely remove the spot, Evelyn is crying hysterically and says that she wants to go home because her outfit is ruined. Her behavior demonstrates the characteristic of preoperational thought known as ____________.A. IrreversibilityB. AnimismC. EgocentrismD. Conservation ______may develop whenever there is swelling within one or more of the four compartments of the lower leg. How did conquering new lands most affect trade in the Roman Empire?It led to more industries.It led to improved roads.It led to improved agriculture.It led to more trading partners. 6y+13+9y=8y3 How many solutions are there? A. No solutions B. One solution C. Infinite solutions Consequential damages: a. occur when the special circumstances of the plaintiff cause him or her to suffer losses that would not ordinarily be foreseeable as a result of the breach. b. are recoverable unless the defendant had reason to foresee them at the time the contract was created. c. are measured by the loss in value of the promised performance. d. are very small damages that the court may award the plaintiff when a technical breach of contract has occurred without causing any actual loss. How many liters would you need to make a 0.7 M solution if you have 3.34 mol of PotassiumChloride? Simplify this power raised to a power: (54)4 1. Expand using four factors of 54:54 54 54 54 2. Apply the product of powers rule: 54+ 4+ 4+ 4 3. Simplify:5x What is the value of x in the simplified power? Red Baron Pizza discovered that if it reduced the retail price of its pizzas by 25% from $8 to $6, the demand for its pizzas increased 50% from 2 million to 3 million pizzas. Based on this experience they concluded that the elasticity of demand for their pizza products was: Please Help! Will mark brainliest if correct! THANK QQQQQQQQQQQQQQQQQQ! Which point(s) on the graph indicate a change in acceleration?A)B onlyB)B and DC)A, C, and ED)A and E What type of wave is shown below?A. Transverse waveB. Longitudinal waveC. Combined waveD. Sound wave What do the iron filings around this magnet show? Find the distance between point E and point C.A) 5B) 9C) 10D) 11 Park Corporation is planning to issue bonds with a face value of $750,000 and a coupon rate of 7.5 percent. The bonds mature in 4 years and pay interest semiannually every June 30 and December 31. All of the bonds were sold on January 1 of this year. Park uses the effective-interest amortization method and also uses a discount account. Assume an annual market rate of interest of 8.5 percent. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use the appropriate factor(s) from the tables provided. Round your final answer to whole dollars.) Required: 1. Prepare the journal entry to record the issuance of the bonds. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field.) View transaction list Journal entry worksheet Record the issuance of bonds. Note: Enter debits before credits. Date General 3 Debit Credit January 01 Record entry Clear entry View general journal Which safety measures should you follow during a hurricane? Check all that apply.Avoid low-lying areas.Go to low-lying areas.If your home is on low ground, go to the roof.If your home is on low ground, go to a shelter.If you are inside, move away from windows.If you are inside, open doors and windows. A city has 4 new houses for every 9 old houses. If there are 20 new houses in the city, how many old houses are there? A. 43 B. 49 C. 45 D. 47